PSP-UFU site i18n

with docusaurus

71 files changed, 121 insertions, 0 deletions

diff --git a/docs/assets/js/01a85c17.660738d5.js b/docs/assets/js/01a85c17.660738d5.js
new file mode 100644
index 0000000..01dd1af
--- /dev/null
+++ b/docs/assets/js/01a85c17.660738d5.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[4],{155:function(e,a,t){"use strict";t.d(a,"a",(function(){return m}));var l=t(0),n=t.n(l),s=t(143),r=t(150),i=t(57),c=t.n(i);function m({sidebar:e}){return 0===e.items.length?null:n.a.createElement("div",{className:Object(s.a)(c.a.sidebar,"thin-scrollbar")},n.a.createElement("h3",{className:c.a.sidebarItemTitle},e.title),n.a.createElement("ul",{className:c.a.sidebarItemList},e.items.map((e=>n.a.createElement("li",{key:e.permalink,className:c.a.sidebarItem},n.a.createElement(r.a,{isNavLink:!0,to:e.permalink,className:c.a.sidebarItemLink,activeClassName:c.a.sidebarItemLinkActive},e.title))))))}},73:function(e,a,t){"use strict";t.r(a);var l=t(0),n=t.n(l),s=t(152),r=t(150),i=t(155),c=t(149);a.default=function(e){const{tags:a,sidebar:t}=e,l={};Object.keys(a).forEach((e=>{const a=function(e){return e[0].toUpperCase()}(e);l[a]=l[a]||[],l[a].push(e)}));const m=Object.entries(l).sort((([e],[a])=>e===a?0:e>a?1:-1)).map((([e,t])=>n.a.createElement("div",{key:e},n.a.createElement("h3",null,e),t.map((e=>n.a.createElement(r.a,{className:"padding-right--md",href:a[e].permalink,key:e},a[e].name," (",a[e].count,")"))),n.a.createElement("hr",null)))).filter((e=>null!=e));return n.a.createElement(s.a,{title:"Tags",description:"Blog Tags",wrapperClassName:"blog-wrapper",searchMetadatas:{tag:"blog_tags_list"}},n.a.createElement("div",{className:"container margin-vert--lg"},n.a.createElement("div",{className:"row"},n.a.createElement("div",{className:"col col--3"},n.a.createElement(i.a,{sidebar:t})),n.a.createElement("main",{className:"col col--7"},n.a.createElement("h1",null,n.a.createElement(c.a,{id:"theme.tags.tagsPageTitle",description:"The title of the tag list page"},"Tags")),n.a.createElement("div",{className:"margin-vert--lg"},m)))))}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/042f27db.d3dc9b65.js b/docs/assets/js/042f27db.d3dc9b65.js
new file mode 100644
index 0000000..fde232f
--- /dev/null
+++ b/docs/assets/js/042f27db.d3dc9b65.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[5],{140:function(e,a,t){"use strict";t.d(a,"a",(function(){return l})),t.d(a,"b",(function(){return b}));var r=t(0),n=t.n(r);function o(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function c(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);a&&(r=r.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,r)}return t}function i(e){for(var a=1;a<arguments.length;a++){var t=null!=arguments[a]?arguments[a]:{};a%2?c(Object(t),!0).forEach((function(a){o(e,a,t[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):c(Object(t)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(t,a))}))}return e}function s(e,a){if(null==e)return{};var t,r,n=function(e,a){if(null==e)return{};var t,r,n={},o=Object.keys(e);for(r=0;r<o.length;r++)t=o[r],a.indexOf(t)>=0||(n[t]=e[t]);return n}(e,a);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(r=0;r<o.length;r++)t=o[r],a.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(n[t]=e[t])}return n}var m=n.a.createContext({}),d=function(e){var a=n.a.useContext(m),t=a;return e&&(t="function"==typeof e?e(a):i(i({},a),e)),t},l=function(e){var a=d(e.components);return n.a.createElement(m.Provider,{value:a},e.children)},u={inlineCode:"code",wrapper:function(e){var a=e.children;return n.a.createElement(n.a.Fragment,{},a)}},p=n.a.forwardRef((function(e,a){var t=e.components,r=e.mdxType,o=e.originalType,c=e.parentName,m=s(e,["components","mdxType","originalType","parentName"]),l=d(t),p=r,b=l["".concat(c,".").concat(p)]||l[p]||u[p]||o;return t?n.a.createElement(b,i(i({ref:a},m),{},{components:t})):n.a.createElement(b,i({ref:a},m))}));function b(e,a){var t=arguments,r=a&&a.mdxType;if("string"==typeof e||r){var o=t.length,c=new Array(o);c[0]=p;var i={};for(var s in a)hasOwnProperty.call(a,s)&&(i[s]=a[s]);i.originalType=e,i.mdxType="string"==typeof e?e:r,c[1]=i;for(var m=2;m<o;m++)c[m]=t[m];return n.a.createElement.apply(null,c)}return n.a.createElement.apply(null,t)}p.displayName="MDXCreateElement"},141:function(e,a,t){"use strict";t.d(a,"b",(function(){return o})),t.d(a,"a",(function(){return c}));var r=t(16),n=t(142);function o(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(r.default)();return{withBaseUrl:(t,r)=>function(e,a,t,{forcePrependBaseUrl:r=!1,absolute:o=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(r)return a+t;const c=t.startsWith(a)?t:a+t.replace(/^\//,"");return o?e+c:c}(a,e,t,r)}}function c(e,a={}){const{withBaseUrl:t}=o();return t(e,a)}},142:function(e,a,t){"use strict";function r(e){return!0===/^(\w*:|\/\/)/.test(e)}function n(e){return void 0!==e&&!r(e)}t.d(a,"b",(function(){return r})),t.d(a,"a",(function(){return n}))},74:function(e,a,t){"use strict";t.r(a),t.d(a,"frontMatter",(function(){return i})),t.d(a,"metadata",(function(){return s})),t.d(a,"toc",(function(){return m})),t.d(a,"default",(function(){return l}));var r=t(3),n=t(7),o=(t(0),t(140)),c=t(141),i={id:"harmSource",title:"Fonte de Corrente Harm\xf4nica",sidebar_label:"Fonte de Corrente Harm\xf4nica"},s={unversionedId:"harmSource",id:"harmSource",isDocsHomePage:!1,title:"Fonte de Corrente Harm\xf4nica",description:"(Fonte de perturba\xe7\xe3o harm\xf4nica) Parte do sistema el\xe9trico de pot\xeancia ou das instala\xe7\xf5es a ele conectadas, que causa distor\xe7\xe3o harm\xf4nica da forma de onda da corrente e / ou tens\xe3o. [tradu\xe7\xe3o livre - IEC 60050](",source:"@site/docs/harmSource.md",slug:"/harmSource",permalink:"/PSP/docs/harmSource",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/harmSource.md",version:"current",sidebar_label:"Fonte de Corrente Harm\xf4nica",sidebar:"docs",previous:{title:"Indutor",permalink:"/PSP/docs/inductor"},next:{title:"Gerador S\xedncrono",permalink:"/PSP/docs/syncGenerator"}},m=[{value:"Fonte de corrente harm\xf4nica no PSP-UFU",id:"fonte-de-corrente-harm\xf4nica-no-psp-ufu",children:[]},{value:"Formul\xe1rio de edi\xe7\xe3o das fontes de corrente harm\xf4nica",id:"formul\xe1rio-de-edi\xe7\xe3o-das-fontes-de-corrente-harm\xf4nica",children:[]}],d={toc:m};function l(e){var a=e.components,t=Object(n.a)(e,["components"]);return Object(o.b)("wrapper",Object(r.a)({},d,t,{components:a,mdxType:"MDXLayout"}),Object(o.b)("link",{rel:"stylesheet",href:Object(c.a)("katex/katex.min.css")}),Object(o.b)("blockquote",null,Object(o.b)("p",{parentName:"blockquote"},"(",Object(o.b)("strong",{parentName:"p"},"Fonte de perturba\xe7\xe3o harm\xf4nica"),") Parte do sistema el\xe9trico de pot\xeancia ou das instala\xe7\xf5es a ele conectadas, que causa distor\xe7\xe3o harm\xf4nica da forma de onda da corrente e / ou tens\xe3o. ",Object(o.b)("a",{parentName:"p",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=614-01-16"},Object(o.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),".")),Object(o.b)("h2",{id:"fonte-de-corrente-harm\xf4nica-no-psp-ufu"},"Fonte de corrente harm\xf4nica no PSP-UFU"),Object(o.b)("p",null,"As fontes de corrente harm\xf4nica s\xe3o respons\xe1veis pela inje\xe7\xe3o de correntes harm\xf4nicas e s\xe3o utilizadas pela ferramenta de c\xe1lculo de ",Object(o.b)("a",{parentName:"p",href:"harmonics"},"distor\xe7\xf5es harm\xf4nicas"),". Uma lista de correntes harm\xf4nicas pode ser inserida em um mesmo elemento, conforme \xe9 exibido na o formul\xe1rio de edi\xe7\xe3o de dados."),Object(o.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"A presen\xe7a da fonte de corrente harm\xf4nica ",Object(o.b)("strong",{parentName:"p"},"n\xe3o \xe9 considerada")," nos estudos de ",Object(o.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga"),", ",Object(o.b)("a",{parentName:"p",href:"fault"},"curto-circuito")," e ",Object(o.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."))),Object(o.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-das-fontes-de-corrente-harm\xf4nica"},"Formul\xe1rio de edi\xe7\xe3o das fontes de corrente harm\xf4nica"),Object(o.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de inser\xe7\xe3o/altera\xe7\xe3o de dados da fonte de corrente harm\xf4nica:"),Object(o.b)("div",null,Object(o.b)("center",null,Object(o.b)("img",{src:Object(c.a)("images/harmSourceForm.png"),alt:"Formul\xe1rio dos indutores no PSP-UFU",title:"Formul\xe1rio dos indutores no PSP-UFU"}))),Object(o.b)("h4",{id:"nome"},"Nome"),Object(o.b)("p",null,"Identifica\xe7\xe3o do elemento el\xe9trico. Podem ser inseridos quaisquer n\xfameros de caracteres no padr\xe3o ",Object(o.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Unicode"},"Unicode"),"."),Object(o.b)("h4",{id:"ordem"},"Ordem"),Object(o.b)("p",null,"Especifica a ordem harm\xf4nica a ser inserida na lista de correntes harm\xf4nicas do elemento. Caso a ordem harm\xf4nica j\xe1 exista na lista, ela ser\xe1 substitu\xedda pelos novos par\xe2metros."),Object(o.b)("h4",{id:"corrente"},"Corrente"),Object(o.b)("p",null,"M\xf3dulo da corrente harm\xf4nica."),Object(o.b)("h4",{id:"unidade"},"Unidade"),Object(o.b)("p",null,"Unidade do m\xf3dulo de corrente harm\xf4nica, em A ou ",Object(o.b)("span",{parentName:"p",className:"math math-inline"},Object(o.b)("span",{parentName:"span",className:"katex"},Object(o.b)("span",{parentName:"span",className:"katex-mathml"},Object(o.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(o.b)("semantics",{parentName:"math"},Object(o.b)("mrow",{parentName:"semantics"},Object(o.b)("mi",{parentName:"mrow"},"p"),Object(o.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(o.b)("mi",{parentName:"mrow"},"u"),Object(o.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(o.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(o.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(o.b)("span",{parentName:"span",className:"base"},Object(o.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(o.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(o.b)("span",{parentName:"span",className:"mord"},"."),Object(o.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(o.b)("span",{parentName:"span",className:"mord"},".")))))),Object(o.b)("h4",{id:"\xe2ngulo"},"\xc2ngulo"),Object(o.b)("p",null,"\xc2ngulo da corrente harm\xf4nica, em graus."),Object(o.b)("h4",{id:"adicionar--remover"},"Adicionar / Remover"),Object(o.b)("p",null,"Insere ou modifica a nova ordem harm\xf4nica ao clicar em \u201cAdicionar\u201d. Retira a ordem harm\xf4nica selecionada da lista ao clicar em \u201cRemover\u201d."))}l.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/0c878f6a.908d2f4e.js b/docs/assets/js/0c878f6a.908d2f4e.js
new file mode 100644
index 0000000..9df8780
--- /dev/null
+++ b/docs/assets/js/0c878f6a.908d2f4e.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[6],{140:function(a,e,s){"use strict";s.d(e,"a",(function(){return l})),s.d(e,"b",(function(){return j}));var t=s(0),m=s.n(t);function n(a,e,s){return e in a?Object.defineProperty(a,e,{value:s,enumerable:!0,configurable:!0,writable:!0}):a[e]=s,a}function p(a,e){var s=Object.keys(a);if(Object.getOwnPropertySymbols){var t=Object.getOwnPropertySymbols(a);e&&(t=t.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),s.push.apply(s,t)}return s}function b(a){for(var e=1;e<arguments.length;e++){var s=null!=arguments[e]?arguments[e]:{};e%2?p(Object(s),!0).forEach((function(e){n(a,e,s[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(s)):p(Object(s)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(s,e))}))}return a}function c(a,e){if(null==a)return{};var s,t,m=function(a,e){if(null==a)return{};var s,t,m={},n=Object.keys(a);for(t=0;t<n.length;t++)s=n[t],e.indexOf(s)>=0||(m[s]=a[s]);return m}(a,e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);for(t=0;t<n.length;t++)s=n[t],e.indexOf(s)>=0||Object.prototype.propertyIsEnumerable.call(a,s)&&(m[s]=a[s])}return m}var r=m.a.createContext({}),N=function(a){var e=m.a.useContext(r),s=e;return a&&(s="function"==typeof a?a(e):b(b({},e),a)),s},l=function(a){var e=N(a.components);return m.a.createElement(r.Provider,{value:e},a.children)},i={inlineCode:"code",wrapper:function(a){var e=a.children;return m.a.createElement(m.a.Fragment,{},e)}},O=m.a.forwardRef((function(a,e){var s=a.components,t=a.mdxType,n=a.originalType,p=a.parentName,r=c(a,["components","mdxType","originalType","parentName"]),l=N(s),O=t,j=l["".concat(p,".").concat(O)]||l[O]||i[O]||n;return s?m.a.createElement(j,b(b({ref:e},r),{},{components:s})):m.a.createElement(j,b({ref:e},r))}));function j(a,e){var s=arguments,t=e&&e.mdxType;if("string"==typeof a||t){var n=s.length,p=new Array(n);p[0]=O;var b={};for(var c in e)hasOwnProperty.call(e,c)&&(b[c]=e[c]);b.originalType=a,b.mdxType="string"==typeof a?a:t,p[1]=b;for(var r=2;r<n;r++)p[r]=s[r];return m.a.createElement.apply(null,p)}return m.a.createElement.apply(null,s)}O.displayName="MDXCreateElement"},141:function(a,e,s){"use strict";s.d(e,"b",(function(){return n})),s.d(e,"a",(function(){return p}));var t=s(16),m=s(142);function n(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(t.default)();return{withBaseUrl:(s,t)=>function(a,e,s,{forcePrependBaseUrl:t=!1,absolute:n=!1}={}){if(!s)return s;if(s.startsWith("#"))return s;if(Object(m.b)(s))return s;if(t)return e+s;const p=s.startsWith(e)?s:e+s.replace(/^\//,"");return n?a+p:p}(e,a,s,t)}}function p(a,e={}){const{withBaseUrl:s}=n();return s(a,e)}},142:function(a,e,s){"use strict";function t(a){return!0===/^(\w*:|\/\/)/.test(a)}function m(a){return void 0!==a&&!t(a)}s.d(e,"b",(function(){return t})),s.d(e,"a",(function(){return m}))},143:function(a,e,s){"use strict";function t(a){var e,s,m="";if("string"==typeof a||"number"==typeof a)m+=a;else if("object"==typeof a)if(Array.isArray(a))for(e=0;e<a.length;e++)a[e]&&(s=t(a[e]))&&(m&&(m+=" "),m+=s);else for(e in a)a[e]&&(m&&(m+=" "),m+=e);return m}e.a=function(){for(var a,e,s=0,m="";s<arguments.length;)(a=arguments[s++])&&(e=t(a))&&(m&&(m+=" "),m+=e);return m}},144:function(a,e,s){"use strict";var t=s(0),m=s(145);e.a=function(){const a=Object(t.useContext)(m.a);if(null==a)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return a}},145:function(a,e,s){"use strict";var t=s(0);const m=Object(t.createContext)(void 0);e.a=m},146:function(a,e,s){"use strict";var t=s(0),m=s.n(t),n=s(144),p=s(143),b=s(56),c=s.n(b);const r=37,N=39;e.a=function(a){const{lazy:e,block:s,defaultValue:b,values:l,groupId:i,className:O}=a,{tabGroupChoices:j,setTabGroupChoices:o}=Object(n.a)(),[h,g]=Object(t.useState)(b),u=t.Children.toArray(a.children),d=[];if(null!=i){const a=j[i];null!=a&&a!==h&&l.some((e=>e.value===a))&&g(a)}const v=a=>{const e=a.target,s=d.indexOf(e),t=u[s].props.value;g(t),null!=i&&(o(i,t),setTimeout((()=>{(function(a){const{top:e,left:s,bottom:t,right:m}=a.getBoundingClientRect(),{innerHeight:n,innerWidth:p}=window;return e>=0&&m<=p&&t<=n&&s>=0})(e)||(e.scrollIntoView({block:"center",behavior:"smooth"}),e.classList.add(c.a.tabItemActive),setTimeout((()=>e.classList.remove(c.a.tabItemActive)),2e3))}),150))},y=a=>{var e;let s;switch(a.keyCode){case N:const e=d.indexOf(a.target)+1;s=d[e]||d[0];break;case r:const t=d.indexOf(a.target)-1;s=d[t]||d[d.length-1]}null===(e=s)||void 0===e||e.focus()};return m.a.createElement("div",{className:"tabs-container"},m.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(p.a)("tabs",{"tabs--block":s},O)},l.map((({value:a,label:e})=>m.a.createElement("li",{role:"tab",tabIndex:h===a?0:-1,"aria-selected":h===a,className:Object(p.a)("tabs__item",c.a.tabItem,{"tabs__item--active":h===a}),key:a,ref:a=>d.push(a),onKeyDown:y,onFocus:v,onClick:v},e)))),e?Object(t.cloneElement)(u.filter((a=>a.props.value===h))[0],{className:"margin-vert--md"}):m.a.createElement("div",{className:"margin-vert--md"},u.map(((a,e)=>Object(t.cloneElement)(a,{key:e,hidden:a.props.value!==h})))))}},147:function(a,e,s){"use strict";var t=s(0),m=s.n(t);e.a=function({children:a,hidden:e,className:s}){return m.a.createElement("div",{role:"tabpanel",hidden:e,className:s},a)}},75:function(a,e,s){"use strict";s.r(e),s.d(e,"frontMatter",(function(){return r})),s.d(e,"metadata",(function(){return N})),s.d(e,"toc",(function(){return l})),s.d(e,"default",(function(){return O}));var t=s(3),m=s(7),n=(s(0),s(140)),p=s(141),b=s(146),c=s(147),r={id:"indMotor",title:"Motor de Indu\xe7\xe3o",sidebar_label:"Motor de Indu\xe7\xe3o"},N={unversionedId:"indMotor",id:"indMotor",isDocsHomePage:!1,title:"Motor de Indu\xe7\xe3o",description:"Uma m\xe1quina ass\xedncrona da qual apenas um enrolamento \xe9 energizado. [tradu\xe7\xe3o livre - IEC 60050](",source:"@site/docs/indMotor.md",slug:"/indMotor",permalink:"/PSP/docs/indMotor",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/indMotor.md",version:"current",sidebar_label:"Motor de Indu\xe7\xe3o",sidebar:"docs",previous:{title:"Compensador S\xedncrono",permalink:"/PSP/docs/syncMotor"},next:{title:"Editor de Controle",permalink:"/PSP/docs/controlEditor"}},l=[{value:"Motor de indu\xe7\xe3o trif\xe1sico no PSP-UFU",id:"motor-de-indu\xe7\xe3o-trif\xe1sico-no-psp-ufu",children:[{value:"Motor de indu\xe7\xe3o trif\xe1sico no c\xe1lculo do fluxo de carga",id:"motor-de-indu\xe7\xe3o-trif\xe1sico-no-c\xe1lculo-do-fluxo-de-carga",children:[]},{value:"Motor de indu\xe7\xe3o trif\xe1sico no estudo de estabilidade",id:"motor-de-indu\xe7\xe3o-trif\xe1sico-no-estudo-de-estabilidade",children:[]}]},{value:"Formul\xe1rio de edi\xe7\xe3o dos geradores s\xedncronos",id:"formul\xe1rio-de-edi\xe7\xe3o-dos-geradores-s\xedncronos",children:[]},{value:"Refer\xeancias",id:"refer\xeancias",children:[]}],i={toc:l};function O(a){var e=a.components,s=Object(m.a)(a,["components"]);return Object(n.b)("wrapper",Object(t.a)({},i,s,{components:e,mdxType:"MDXLayout"}),Object(n.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(n.b)("blockquote",null,Object(n.b)("p",{parentName:"blockquote"},"Uma m\xe1quina ass\xedncrona da qual apenas um enrolamento \xe9 energizado. ",Object(n.b)("a",{parentName:"p",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=411-31-10"},Object(n.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),".")),Object(n.b)("h2",{id:"motor-de-indu\xe7\xe3o-trif\xe1sico-no-psp-ufu"},"Motor de indu\xe7\xe3o trif\xe1sico no PSP-UFU"),Object(n.b)("p",null,"No PSP-UFU, os motores de indu\xe7\xe3o s\xe3o contemplados nos estudos de ",Object(n.b)("a",{parentName:"p",href:"powerFLow"},"fluxo de carga")," e no estudo de ",Object(n.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(n.b)("div",{className:"admonition admonition-info alert alert--info"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Os dados de estabilidade da m\xe1quina de indu\xe7\xe3o s\xe3o utilizados em conjunto com o fluxo de carga, ",Object(n.b)("strong",{parentName:"p"},"calculando de forma correta a pot\xeancia reativa das m\xe1quinas")," e consequentemente a tens\xe3o no barramento conectado."))),Object(n.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},'Ao marcar a op\xe7\xe3o "Calcular a pot\xeancia reativa no fluxo de carga", devem ser inseridos os dados corretos na aba "Estabilidade", caso contr\xe1rio, ser\xe1 atribu\xedda uma pot\xeancia reativa incorreta no motor.'))),Object(n.b)("h3",{id:"motor-de-indu\xe7\xe3o-trif\xe1sico-no-c\xe1lculo-do-fluxo-de-carga"},"Motor de indu\xe7\xe3o trif\xe1sico no c\xe1lculo do fluxo de carga"),Object(n.b)("p",null,"A figura abaixo apresenta o modelo do motor de indu\xe7\xe3o trif\xe1sico (MIT) de gaiola simples."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/indMotorModel.svg"),alt:"Circuito equivalente do motor de indu\xe7\xe3o",title:"Circuito equivalente do motor de indu\xe7\xe3o"}))),Object(n.b)("p",null,"As pot\xeancias ativa e reativa podem ser calculadas em rela\xe7\xe3o \xe0s vari\xe1veis e par\xe2metros do motor em ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},".")))))," como:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"P"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"V"),Object(n.b)("mn",{parentName:"msup"},"2")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"}"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mn",{parentName:"msup"},"2")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mn",{parentName:"msup"},"2")))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mi",{parentName:"mrow"},"Q"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"V"),Object(n.b)("mn",{parentName:"msup"},"2")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"}"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mn",{parentName:"msup"},"2")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mn",{parentName:"msup"},"2")))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P = \\frac{V^2 \\left\\{ \\left( \\frac{r_2}{s} \\right) \\left[\\left(\\frac{r_2}{s} \\right) r_1-x_1 K_1-x_2 x_m \\right]+K_1 \\left[\\left(\\frac{r_2}{s} \\right) \\left(x_m+x_1 \\right) + r_1 K_1 \\right] \\right\\} }{\\left[\\left( \\frac{r_2}{s} \\right) r_1-x_1 K_1-x_2 x_m \\right]^2+\\left[\\left( \\frac{r_2}{s} \\right)(x_m+x_1 )+r_1 K_1 \\right]^2}\\\\ Q = \\frac{-V^2 \\left\\{ K_1 \\left[\\left(\\frac{r_2}{s} \\right) r_1-x_1 K_1-x_2 x_m \\right]- \\left( \\frac{r_2}{s} \\right) \\left[\\left(\\frac{r_2}{s} \\right) \\left(x_m+x_1 \\right) + r_1 K_1 \\right] \\right\\} }{\\left[\\left( \\frac{r_2}{s} \\right) r_1-x_1 K_1-x_2 x_m \\right]^2+\\left[\\left( \\frac{r_2}{s} \\right)(x_m+x_1 )+r_1 K_1 \\right]^2}\\\\ ~\\\\ K_1=x_2+x_m")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.884028em",verticalAlign:"-1.2940180000000001em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.59001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.11em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.054008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"[")),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"]"))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.054008em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.3029em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"[")),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mopen"},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose"},")"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"]"))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.054008em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.3029em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.284008em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.054008em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.7940180000000003em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.054008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"{")),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"[")),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"]"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"[")),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"]"))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"}")))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.2940180000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.884028em",verticalAlign:"-1.2940180000000001em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.59001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.11em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.054008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"[")),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"]"))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.054008em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.3029em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"[")),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mopen"},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose"},")"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"]"))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.054008em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.3029em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.284008em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.054008em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.7940180000000003em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.054008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"{")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"[")),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"]"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"[")),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"]"))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"}")))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.2940180000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0")),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.73333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))),Object(n.b)("p",null,"Como pode ser observado nas equa\xe7\xf5es acima, existem quatro vari\xe1veis e somente duas equa\xe7\xf5es. Na pr\xe1tica, as vari\xe1veis podem ser reduzidas a tr\xeas, uma vez que o m\xf3dulo da tens\xe3o (V) \xe9 obtido nos resultados do ",Object(n.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de pot\xeancia"),". Para resolver as equa\xe7\xf5es \xe9 necess\xe1rio definir uma vari\xe1vel adicional. A vari\xe1vel escolhida como fixa no PSP-UFU \xe9 a pot\xeancia ativa (P), por fornecer resultados numericamente corretos e adequados para motores em situa\xe7\xf5es de estabilidade."),Object(n.b)("p",null,"Portanto, nesse modelo est\xe1tico, a pot\xeancia ativa \xe9 mantida constante durante o c\xe1lculo do fluxo de carga e o escorregamento (s) \xe9 atualizado em cada itera\xe7\xe3o. A equa\xe7\xe3o da pot\xeancia ativa pode ser reescrita em rela\xe7\xe3o ao escorregamento:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mn",{parentName:"msup"},"2")),Object(n.b)("mi",{parentName:"mrow"},"A"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mi",{parentName:"mrow"},"B"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow"},"C"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mn",{parentName:"mrow"},"0")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\left(\\frac{r_2}{s} \\right)^2 A + \\left(\\frac{r_2}{s} \\right) B + C = 0")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.040008em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1075599999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},")"))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3540079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.6029em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"A"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.8359999999999999em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1075599999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05017em"}},"B"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"C"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"0")))))),Object(n.b)("p",null,"Em que:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"A"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mi",{parentName:"mrow"},"P"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"r"),Object(n.b)("mn",{parentName:"msubsup"},"1"),Object(n.b)("mn",{parentName:"msubsup"},"2")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"K"),Object(n.b)("mn",{parentName:"msubsup"},"3"),Object(n.b)("mn",{parentName:"msubsup"},"2")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"V"),Object(n.b)("mn",{parentName:"msup"},"2")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mi",{parentName:"mrow"},"B"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mn",{parentName:"mrow"},"2"),Object(n.b)("mi",{parentName:"mrow"},"P"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"3")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"4")),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"V"),Object(n.b)("mn",{parentName:"msup"},"2")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"3")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mi",{parentName:"mrow"},"C"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mi",{parentName:"mrow"},"P"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"K"),Object(n.b)("mn",{parentName:"msubsup"},"2"),Object(n.b)("mn",{parentName:"msubsup"},"2")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"K"),Object(n.b)("mn",{parentName:"msubsup"},"4"),Object(n.b)("mn",{parentName:"msubsup"},"2")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"V"),Object(n.b)("mn",{parentName:"msup"},"2")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"4")),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"3")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"4")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"A = P \\left( r_1^2 + K_3^2 \\right) - V^2 r_1\\\\ B = 2P(r_1 K_2 + K_3 K_4) - V^2 \\left(K_2 + K_1 K_3 \\right)\\\\ C = P \\left( K_2^2 + K_4^2 \\right) - V^2 K_1 K_4\\\\ K_2 = -x_1 K_1 -x_2 x_m\\\\ K_3 = x_m + x_1\\\\ K_4 = r_1 K_1")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"A"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.2141179999999998em",verticalAlign:"-0.35001em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"3"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.0141079999999998em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05017em"}},"B"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"2"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"mopen"},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"3")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"4")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose"},")"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.1141079999999999em",verticalAlign:"-0.25em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"3")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"C"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.2141179999999998em",verticalAlign:"-0.35001em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"4"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.0141079999999998em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"4")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"3")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.73333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"4")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))),Object(n.b)("p",null,"Esse modelo pode ser inserido na solu\xe7\xe3o do ",Object(n.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga")," seguindo os seguintes passos:"),Object(n.b)("ol",null,Object(n.b)("li",{parentName:"ol"},"As constantes ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"K_1")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," a ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"4"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"K_4")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"4")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," s\xe3o inicialmente calculadas . Esses valores s\xe3o mantidos constantes durante toda a solu\xe7\xe3o;"),Object(n.b)("li",{parentName:"ol"},"Em cada itera\xe7\xe3o s\xe3o calculados os coeficientes ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"A")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"A")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"A"))))),", ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"B")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"B")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05017em"}},"B")))))," e ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"C")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"C")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"C")))))," utilizando o valor atualizado de ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"V")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))))),";"),Object(n.b)("li",{parentName:"ol"},"A equa\xe7\xe3o quadr\xe1tica \xe9 resolvida e dois valores de ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\left(\\frac{r_2}{s} \\right)")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.20001em",verticalAlign:"-0.35001em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")")))))))," s\xe3o obtidos, em que o maior deles \xe9 escolhido por estar na regi\xe3o est\xe1vel da caracter\xedstica toque-escorregamento do motor;"),Object(n.b)("li",{parentName:"ol"},"Utilizando o novo valor de ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mi",{parentName:"mfrac"},"s")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\left(\\frac{r_2}{s} \\right)")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.20001em",verticalAlign:"-0.35001em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7114919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.4101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.02778em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))))))),", a pot\xeancia reativa (",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"Q")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"))))),") \xe9 obtida. O vetor de pot\xeancias \xe9 ent\xe3o atualizado e os procedimentos convencionais de solu\xe7\xe3o do fluxo de pot\xeancia s\xe3o realizados.")),Object(n.b)("p",null,"Os passos de 2 a 4 s\xe3o repetidos at\xe9 que se obtenha a converg\xeancia."),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"No PSP-UFU, os motores de indu\xe7\xe3o n\xe3o s\xe3o considerados no c\xe1lculo de curto-circuito."))),Object(n.b)("h3",{id:"motor-de-indu\xe7\xe3o-trif\xe1sico-no-estudo-de-estabilidade"},"Motor de indu\xe7\xe3o trif\xe1sico no estudo de estabilidade"),Object(n.b)("p",null,"Uma importante carga din\xe2mica s\xe3o os motores de indu\xe7\xe3o, uma vez que correspondem a uma parcela significativa das cargas presentes no sistema el\xe9trico. O ",Object(n.b)("a",{parentName:"p",href:"indMotor#motor-de-indu%C3%A7%C3%A3o-trif%C3%A1sico-no-c%C3%A1lculo-do-fluxo-de-carga"},"modelo da m\xe1quina de indu\xe7\xe3o apresentado anteriormente"),", a qual pode ser utilizada tanto como motor quanto como gerador, \xe9 bem estabelecida na literatura."),Object(n.b)("p",null,"Como descrito na ",Object(n.b)("a",{parentName:"p",href:"indMotor#motor-de-indu%C3%A7%C3%A3o-trif%C3%A1sico-no-c%C3%A1lculo-do-fluxo-de-carga"},"se\xe7\xe3o anterior"),", a inicializa\xe7\xe3o dessa m\xe1quina \xe9 realizada em conjunto com o fluxo de pot\xeancia, visto que a pot\xeancia reativa exigida pela m\xe1quina de indu\xe7\xe3o \xe9 dependente dos par\xe2metros do motor, assim como a tens\xe3o do seu barramento. Essa abordagem \xe9 necess\xe1ria, pois m\xe9todos convencionais conduzem a resultados err\xf4neos em sistemas altamente carregados."),Object(n.b)("p",null,"\xc9 necess\xe1rio expressar a equa\xe7\xe3o de movimento da m\xe1quina de indu\xe7\xe3o em termos de torque e n\xe3o pot\xeancia, como \xe9 realizado com as m\xe1quinas s\xedncronas. A simetria do rotor tamb\xe9m faz com que a posi\xe7\xe3o angular n\xe3o seja importante e o escorregamento (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"s")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"s")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"))))),") \xe9 utilizado no lugar da velocidade (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"\u03c9")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\omega")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"))))),"), em que:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mi",{parentName:"mrow"},"f"),Object(n.b)("mi",{parentName:"mrow"},"r"),Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mi",{parentName:"mrow"},"c"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub",mathvariant:"normal"},"\u03a9"),Object(n.b)("mn",{parentName:"msub"},"0")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("mi",{parentName:"mrow"},"\u03c9")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub",mathvariant:"normal"},"\u03a9"),Object(n.b)("mn",{parentName:"msub"},"0"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"s = frac{\\Omega_0 - \\omega}{\\Omega_0}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8888799999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"c"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u03a9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u03a9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))))),Object(n.b)("p",null,"Desprezando as perdas por atrito e ventila\xe7\xe3o e a pot\xeancia no eixo suave, as equa\xe7\xf5es mec\xe2nicas do motor s\xe3o expressas da seguinte forma:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"T"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mi",{parentName:"mrow"},"A"),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("mi",{parentName:"mrow"},"B"),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow"},"C"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"s"),Object(n.b)("mn",{parentName:"msup"},"2")),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"T"),Object(n.b)("mi",{parentName:"msub"},"e")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"R"),Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(n.b)("mover",{parentName:"mrow",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"E"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"I"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mo",{parentName:"msup"},"\u2217")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"}"))),Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub",mathvariant:"normal"},"\u03a9"),Object(n.b)("mi",{parentName:"msub"},"b"))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"s")),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"T"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"T"),Object(n.b)("mi",{parentName:"msub"},"e")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mn",{parentName:"mrow"},"2"),Object(n.b)("mi",{parentName:"mrow"},"H")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T_m = A -Bs + Cs^2\\\\ T_e = \\frac{Re\\left\\{ \\dot{E}\\dot{I}^* \\right\\}}{\\Omega_b}\\\\ \\frac{ds}{dt} = \\frac{\\left( T_m - T_e \\right)}{2H}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.76666em",verticalAlign:"-0.08333em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"A"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.76666em",verticalAlign:"-0.08333em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05017em"}},"B"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8641079999999999em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"C"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"))))))))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"3.02602em",verticalAlign:"-0.8360000000000001em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"2.19002em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.464em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u03a9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.38em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-4.1900200000000005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.00773em"}},"R"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"e"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},"{")),Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.055550000000000016em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.688696em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mbin mtight"},"\u2217")))))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},"}")))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.05744em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.113em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.427em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"2"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.08125em"}},"H"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(n.b)("p",null,"Em que:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"T"),Object(n.b)("mi",{parentName:"msub"},"m"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T_m")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," \xe9 o torque mec\xe2nico;"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"T"),Object(n.b)("mi",{parentName:"msub"},"e"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T_e")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," \xe9 o torque el\xe9trico;"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"H")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"H")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.08125em"}},"H")))))," \xe9 a in\xe9rcia do conjunto motor - carga mec\xe2nica")),Object(n.b)("p",null,"Os termos ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"A")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"A")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"A"))))),", ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"B")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"B")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05017em"}},"B")))))," e ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"C")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"C")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"C")))))," s\xe3o termos que definem o comportamento do torque mec\xe2nico da carga de acordo com o escorregamento. O torque mec\xe2nico normalmente varia com a ",Object(n.b)("strong",{parentName:"p"},"velocidade"),", podendo ser expressa proporcionalmente com a seguinte equa\xe7\xe3o quadr\xe1tica:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"T"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"\u221d"),Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow"},"b"),Object(n.b)("mi",{parentName:"mrow"},"\u03c9"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow"},"c"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"\u03c9"),Object(n.b)("mn",{parentName:"msup"},"2"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T_m \\propto a + b\\omega + c\\omega^2")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"\u221d"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.66666em",verticalAlign:"-0.08333em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.77777em",verticalAlign:"-0.08333em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8641079999999999em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"c"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"))))))))))))),Object(n.b)("p",null,"Em que:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow"},"A"),Object(n.b)("mo",{parentName:"mrow"},"\u221d"),Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow"},"b"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow"},"c"))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow"},"B"),Object(n.b)("mo",{parentName:"mrow"},"\u221d"),Object(n.b)("mi",{parentName:"mrow"},"b"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mn",{parentName:"mrow"},"2"),Object(n.b)("mi",{parentName:"mrow"},"c"))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow"},"C"),Object(n.b)("mo",{parentName:"mrow"},"\u221d"),Object(n.b)("mi",{parentName:"mrow"},"c"))))))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{cases} A \\propto a + b + c \\\\ B \\propto b + 2c \\\\ C \\propto c \\end{cases}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"4.32em",verticalAlign:"-1.9099999999999997em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"2.35002em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.19999em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a9"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.19499em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23aa"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.20499em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23aa"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.15001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a8"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.2950099999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23aa"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.30501em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23aa"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.60002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a7")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.8500199999999998em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-l"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"2.41em"}},Object(n.b)("span",{parentName:"span",style:{top:"-4.41em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"A"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"\u221d"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"c"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.97em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05017em"}},"B"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"\u221d"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"2"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"c"))),Object(n.b)("span",{parentName:"span",style:{top:"-1.5300000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"C"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"\u221d"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"c")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.9099999999999997em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(n.b)("p",null,"As equa\xe7\xf5es el\xe9tricas do motor de indu\xe7\xe3o de gaiola simples s\xe3o baseadas no circuito equivalente da ",Object(n.b)("a",{parentName:"p",href:"indMotor#motor-de-indu%C3%A7%C3%A3o-trif%C3%A1sico-no-c%C3%A1lculo-do-fluxo-de-carga"},"figura anterior"),". De forma semelhante ao modelo transit\xf3rio da m\xe1quina s\xedncrona, o motor de indu\xe7\xe3o pode ser modelado pelo circuito equivalente de Thevenin de tens\xe3o transit\xf3ria ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"E"),Object(n.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"E'")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.751892em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032")))))))))))))," atr\xe1s de uma resist\xeancia do estator ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"r_1")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e uma reat\xe2ncia transit\xf3ria ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"x"),Object(n.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x'")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.751892em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))))))),". A reat\xe2ncia transit\xf3ria aparente de rotor bloqueado \xe9 dada por:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"x"),Object(n.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m"))))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x' = x_1 + \\frac{x_2 x_m}{x_2 + x_m}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.801892em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.801892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.73333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.94356em",verticalAlign:"-0.8360000000000001em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1075599999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(n.b)("p",null,"A constante de tempo de circuito aberto do rotor (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"T"),Object(n.b)("mn",{parentName:"msubsup"},"0"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T_0'")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.24810799999999997em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4518920000000004em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.24810799999999997em"}},Object(n.b)("span",{parentName:"span"})))))))))),") \xe9:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"T"),Object(n.b)("mn",{parentName:"msubsup"},"0"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub",mathvariant:"normal"},"\u03a9"),Object(n.b)("mi",{parentName:"msub"},"b")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2"))))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T_0' = \\frac{x_2 + x_m}{\\Omega_b r_2}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8018919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.09633em",verticalAlign:"-0.8360000000000001em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.2603300000000002em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u03a9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(n.b)("p",null,"E a reat\xe2ncia de circuito aberto \xe9:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"0")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"m"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_0 = x_1 + x_m")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.73333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))),Object(n.b)("p",null,"Uma vez que as reat\xe2ncias n\xe3o s\xe3o afetadas pela posi\xe7\xe3o do rotor, as EADs do motor de indu\xe7\xe3o podem ser expressar diretamente por componentes reais (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"r")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"r")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"))))),") e imagin\xe1rias (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"m")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"m")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"m"))))),"). Portanto, a descri\xe7\xe3o completa desse modelo \xe9 representada pelo seguinte sistema de equa\xe7\xf5es alg\xe9brico-diferenciais:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"r")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"r"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"r")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"x"),Object(n.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"m"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"x"),Object(n.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"r"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub",mathvariant:"normal"},"\u03a9"),Object(n.b)("mi",{parentName:"msub"},"b")),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"m"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"r"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"0")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"x"),Object(n.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"m"))),Object(n.b)("msubsup",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msubsup"},"T"),Object(n.b)("mn",{parentName:"msubsup"},"0"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"m"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub",mathvariant:"normal"},"\u03a9"),Object(n.b)("mi",{parentName:"msub"},"b")),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"r"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"m"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mi",{parentName:"mrow"},"i"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"0")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"x"),Object(n.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"r"))),Object(n.b)("msubsup",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msubsup"},"T"),Object(n.b)("mn",{parentName:"msubsup"},"0"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_r - E_r' = r_1 I_r - x' I_m\\\\ V_m - E_m' = r_1 I_m - x' I_m\\\\ \\frac{dE_r'}{dt} = \\Omega_b s E_m' - \\frac{E_r' + \\left( x_0 - x' \\right) I_m}{T_0'}\\\\ \\frac{dE_m'}{dt} = \\Omega_b s E_r' - \\frac{E_m' i \\left( x_0 - x' \\right) I_r}{T_0'}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8018919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.9518920000000001em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.801892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8018919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.9518920000000001em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.801892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.114892em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.428892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u03a9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8018919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.3811999999999998em",verticalAlign:"-0.9523079999999999em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.428892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.733692em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.0448000000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9523079999999999em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.114892em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.428892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u03a9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8018919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.3811999999999998em",verticalAlign:"-0.9523079999999999em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.428892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.733692em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.0448000000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"i"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9523079999999999em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(n.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-dos-geradores-s\xedncronos"},"Formul\xe1rio de edi\xe7\xe3o dos geradores s\xedncronos"),Object(n.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de inser\xe7\xe3o/altera\xe7\xe3o de dados dos motores de indu\xe7\xe3o:"),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/indMotorForm.png"),alt:"Formul\xe1rio dos motores de indu\xe7\xe3o no PSP-UFU",title:"Formul\xe1rio dos motores de indu\xe7\xe3o no PSP-UFU"}))),Object(n.b)("p",null,'No formul\xe1rio pode ser observado o bot\xe3o "Chaveamento" na parte inferior esquerda do formul\xe1rio. Esse formul\xe1rio, comum a v\xe1rios outros elementos, permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do motor durante o estudo de ',Object(n.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/indMotorSw.png"),alt:"Formul\xe1rio de chaveamento do motores de indu\xe7\xe3o",title:"Formul\xe1rio de chaveamento do motores de indu\xe7\xe3o"}))),Object(n.b)(b.a,{groupId:"indMotor-tabs",defaultValue:"general",values:[{label:"Geral",value:"general"},{label:"Estabilidade",value:"stability"},{label:"Bot\xe3o Chaveamento",value:"switching"}],mdxType:"Tabs"},Object(n.b)(c.a,{value:"general",mdxType:"TabItem"},Object(n.b)("h4",{id:"nome"},"Nome"),Object(n.b)("p",null,"Identifica\xe7\xe3o do elemento el\xe9trico. Podem ser inseridos quaisquer n\xfameros de caracteres no padr\xe3o ",Object(n.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Unicode"},"Unicode"),"."),Object(n.b)("p",null,"Todos os componentes de pot\xeancia do PSP-UFU possuem esse campo."),Object(n.b)("h4",{id:"pot\xeancia-nominal"},"Pot\xeancia nominal"),Object(n.b)("p",null,"Pot\xeancia nominal do gerador, inserida em MVA, kVA ou VA."),Object(n.b)("p",null,'Esse campo \xe9 especialmente importante caso a op\xe7\xe3o "Utilizar a pot\xeancia nominal como base" esteja marcada.'),Object(n.b)("h4",{id:"pot\xeancias-ativa-e-reativa"},"Pot\xeancias ativa e reativa"),Object(n.b)("p",null,"Pot\xeancias ativa (inserida em W, kW, MW ou ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},"."))))),") e reativa (inserida em var, kvar, Mvar ou ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},"."))))),") do motor."),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Caso a op\xe7\xe3o \u201cCalcular a pot\xeancia reativa no fluxo de carga\u201d esteja ativada, o campo de pot\xeancia reativa \xe9 desativado para edi\xe7\xe3o."))),Object(n.b)("h4",{id:"calcular-a-pot\xeancia-reativa-no-fluxo-de-carga"},"Calcular a pot\xeancia reativa no fluxo de carga"),Object(n.b)("p",null,"Caso essa op\xe7\xe3o seja marcada, o programa ir\xe1 utilizar os dados fornecidos no formul\xe1rio de estabilidade para calcular a pot\xeancia reativa do motor durante o processo iterativo do fluxo de carga."),Object(n.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Caso essa op\xe7\xe3o n\xe3o seja utilizada o motor ser\xe1 considerado uma ",Object(n.b)("a",{parentName:"p",href:"load"},"carga de pot\xeancia constante")," no estudo de ",Object(n.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga"),"."),Object(n.b)("p",{parentName:"div"},"A n\xe3o utiliza\xe7\xe3o dessa op\xe7\xe3o poder\xe1 gerar erros de regime permamente no estudo de ",Object(n.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."))),Object(n.b)("h4",{id:"utilizar-pot\xeancia-nominal-como-base"},"Utilizar pot\xeancia nominal como base"),Object(n.b)("p",null,"Caso essa op\xe7\xe3o seja marcada, o programa ir\xe1 utilizar a pot\xeancia nominal do gerador como base para a convers\xe3o das unidades, inclusive aqueles no formul\xe1rio de estabilidade, caso contr\xe1rio ser\xe1 usada a pot\xeancia base do sistema.")),Object(n.b)(c.a,{value:"stability",mdxType:"TabItem"},Object(n.b)("h4",{id:"imprimir-dados-da-m\xe1quina-de-indu\xe7\xe3o"},"Imprimir dados da m\xe1quina de indu\xe7\xe3o"),Object(n.b)("p",null,"Exibe os dados do gerador s\xedncrono nos gr\xe1ficos no tempo. Os seguintes dados s\xe3o exibidos:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},"tens\xe3o terminal"),Object(n.b)("li",{parentName:"ul"},"pot\xeancias ativa e reativas"),Object(n.b)("li",{parentName:"ul"},"corrente, torque el\xe9trico"),Object(n.b)("li",{parentName:"ul"},"torque mec\xe2nico"),Object(n.b)("li",{parentName:"ul"},"velocidade"),Object(n.b)("li",{parentName:"ul"},"escorregamento")),Object(n.b)("h4",{id:"in\xe9rcia"},"In\xe9rcia"),Object(n.b)("p",null,"In\xe9rcia do conjunto motor-carga, em s."),Object(n.b)("h4",{id:"resist\xeancia-e-reat\xe2ncia-do-estator"},"Resist\xeancia e reat\xe2ncia do estator"),Object(n.b)("p",null,"Resist\xeancia e reat\xe2ncia do estator do motor de indu\xe7\xe3o, em ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},".")))))),Object(n.b)("h4",{id:"resist\xeancia-e-reat\xe2ncia-do-rotor"},"Resist\xeancia e reat\xe2ncia do rotor"),Object(n.b)("p",null,"Resist\xeancia e reat\xe2ncia do rotor do motor de indu\xe7\xe3o, em ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},".")))))),Object(n.b)("h4",{id:"reat\xe2ncia-de-magnetiza\xe7\xe3o"},"Reat\xe2ncia de magnetiza\xe7\xe3o"),Object(n.b)("p",null,"Reat\xe2ncia do ramo de magnetiza\xe7\xe3o do motor de indu\xe7\xe3o, em ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},".")))))),Object(n.b)("h4",{id:"utilizar-fator-de-gaiola"},"Utilizar fator de gaiola"),Object(n.b)("p",null,"Permite a inser\xe7\xe3o de um fator de gaiola (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mi",{parentName:"msub"},"g"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"K_g")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"g")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))))))),") no motor de indu\xe7\xe3o. Tal fator eleva o valor da resist\xeancia do rotor em condi\xe7\xf5es de grande escorregamento, como ocorre em motores de gaiola dupla ou gaiola profunda. A resist\xeancia do rotor segue a seguinte equa\xe7\xe3o:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("msub",{parentName:"msub"},Object(n.b)("mn",{parentName:"msub"},"2"),Object(n.b)("mn",{parentName:"msub"},"0"))),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mi",{parentName:"msub"},"g")),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"r_2 = r_{2_0} \\left( 1+K_g s \\right)")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.036108em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2501em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},"1"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"g")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")"))))))),Object(n.b)("p",null,"Em que:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("msub",{parentName:"msub"},Object(n.b)("mn",{parentName:"msub"},"2"),Object(n.b)("mn",{parentName:"msub"},"0")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"r_{2_0}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68066em",verticalAlign:"-0.2501em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31731428571428577em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2501em"}},Object(n.b)("span",{parentName:"span"}))))))))))," \xe9 a resist\xeancia do rotor inserida no formul\xe1rio.")),Object(n.b)("h4",{id:"caracter\xedstica-da-carga"},"Caracter\xedstica da carga"),Object(n.b)("p",null,"Descreve a caracter\xedstica do torque da carga mec\xe2nica no eixo do motor seguindo a equa\xe7\xe3o do torque mec\xe2nico."),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"T"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"\u221d"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"bold"},"a"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"bold"},"b"),Object(n.b)("mi",{parentName:"mrow"},"\u03c9"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"bold"},"c"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"\u03c9"),Object(n.b)("mn",{parentName:"msup"},"2"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T_m \\propto \\bold{a} + \\bold{b}\\omega + \\bold{c}\\omega^2")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"\u221d"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.66666em",verticalAlign:"-0.08333em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathbf"},"a")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.77777em",verticalAlign:"-0.08333em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathbf"},"b")),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8641079999999999em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathbf"},"c")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"))))))))))))),Object(n.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"A soma dos coeficientes (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow"},"b"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow"},"c")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"a + b + c")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.66666em",verticalAlign:"-0.08333em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.77777em",verticalAlign:"-0.08333em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"c"))))),") deve ser unit\xe1ria.")))),Object(n.b)(c.a,{value:"switching",mdxType:"TabItem"},Object(n.b)("p",null,'O bot\xe3o "Chaveamento" ir\xe1 abrir um formul\xe1rio, comum a v\xe1rios outros elementos, que permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do gerador durante o estudo de ',Object(n.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(n.b)("p",null,'Nesse formul\xe1rio pode ser criada uma lista gen\xe9rica de inser\xe7\xf5es e remo\xe7\xf5es da linha no tempo, personalizada por um contexto de propriedades de chaveamento que s\xe3o editados o tipo de chaveamento (inser\xe7\xe3o ou remo\xe7\xe3o) e o instante (em segundos) do evento. Essas propriedades s\xe3o atribu\xeddas e retiradas da lista gen\xe9rica por meio dos bot\xf5es "Adicionar" e "Remover", respectivamente.'))),Object(n.b)("h2",{id:"refer\xeancias"},"Refer\xeancias"),Object(n.b)("ol",null,Object(n.b)("li",{parentName:"ol"},"S\xc1NCHEZ, J. C.; OLIVARES, T. I. A.; ORTIZ, G. R.; VEGA, D. R. Induction Motor Static Models for Power Flow and Voltage Stability Studies. In: IEEE Power and Energy Society General Meeting, 2012, San Diego. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1109/PESGM.2012.6345618"},"https://doi.org/10.1109/PESGM.2012.6345618")),Object(n.b)("li",{parentName:"ol"},"IEEE Std 399-1997. IEEE Recommended Practice for Industrial and Commercial Power Systems Analysis (Brown Book). IEEE, New York, ago. 1998. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1109/IEEESTD.1998.88568"},"https://doi.org/10.1109/IEEESTD.1998.88568")),Object(n.b)("li",{parentName:"ol"},"MILANO, F. Power System Modelling and Scripting. London: Springer, 2010. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1007/978-3-642-13669-6"},"https://doi.org/10.1007/978-3-642-13669-6")),Object(n.b)("li",{parentName:"ol"},"ARRILLAGA, J.; WATSON, N. R. Computer Modelling of Electrical Power Systems. Wiley & Sons, New York, 2001. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1002/9781118878286"},"https://doi.org/10.1002/9781118878286"))))}O.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/0ce9c370.0196af76.js b/docs/assets/js/0ce9c370.0196af76.js
new file mode 100644
index 0000000..295fc1c
--- /dev/null
+++ b/docs/assets/js/0ce9c370.0196af76.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[7],{140:function(a,e,s){"use strict";s.d(e,"a",(function(){return l})),s.d(e,"b",(function(){return j}));var t=s(0),m=s.n(t);function n(a,e,s){return e in a?Object.defineProperty(a,e,{value:s,enumerable:!0,configurable:!0,writable:!0}):a[e]=s,a}function p(a,e){var s=Object.keys(a);if(Object.getOwnPropertySymbols){var t=Object.getOwnPropertySymbols(a);e&&(t=t.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),s.push.apply(s,t)}return s}function b(a){for(var e=1;e<arguments.length;e++){var s=null!=arguments[e]?arguments[e]:{};e%2?p(Object(s),!0).forEach((function(e){n(a,e,s[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(s)):p(Object(s)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(s,e))}))}return a}function r(a,e){if(null==a)return{};var s,t,m=function(a,e){if(null==a)return{};var s,t,m={},n=Object.keys(a);for(t=0;t<n.length;t++)s=n[t],e.indexOf(s)>=0||(m[s]=a[s]);return m}(a,e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);for(t=0;t<n.length;t++)s=n[t],e.indexOf(s)>=0||Object.prototype.propertyIsEnumerable.call(a,s)&&(m[s]=a[s])}return m}var c=m.a.createContext({}),N=function(a){var e=m.a.useContext(c),s=e;return a&&(s="function"==typeof a?a(e):b(b({},e),a)),s},l=function(a){var e=N(a.components);return m.a.createElement(c.Provider,{value:e},a.children)},i={inlineCode:"code",wrapper:function(a){var e=a.children;return m.a.createElement(m.a.Fragment,{},e)}},O=m.a.forwardRef((function(a,e){var s=a.components,t=a.mdxType,n=a.originalType,p=a.parentName,c=r(a,["components","mdxType","originalType","parentName"]),l=N(s),O=t,j=l["".concat(p,".").concat(O)]||l[O]||i[O]||n;return s?m.a.createElement(j,b(b({ref:e},c),{},{components:s})):m.a.createElement(j,b({ref:e},c))}));function j(a,e){var s=arguments,t=e&&e.mdxType;if("string"==typeof a||t){var n=s.length,p=new Array(n);p[0]=O;var b={};for(var r in e)hasOwnProperty.call(e,r)&&(b[r]=e[r]);b.originalType=a,b.mdxType="string"==typeof a?a:t,p[1]=b;for(var c=2;c<n;c++)p[c]=s[c];return m.a.createElement.apply(null,p)}return m.a.createElement.apply(null,s)}O.displayName="MDXCreateElement"},141:function(a,e,s){"use strict";s.d(e,"b",(function(){return n})),s.d(e,"a",(function(){return p}));var t=s(16),m=s(142);function n(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(t.default)();return{withBaseUrl:(s,t)=>function(a,e,s,{forcePrependBaseUrl:t=!1,absolute:n=!1}={}){if(!s)return s;if(s.startsWith("#"))return s;if(Object(m.b)(s))return s;if(t)return e+s;const p=s.startsWith(e)?s:e+s.replace(/^\//,"");return n?a+p:p}(e,a,s,t)}}function p(a,e={}){const{withBaseUrl:s}=n();return s(a,e)}},142:function(a,e,s){"use strict";function t(a){return!0===/^(\w*:|\/\/)/.test(a)}function m(a){return void 0!==a&&!t(a)}s.d(e,"b",(function(){return t})),s.d(e,"a",(function(){return m}))},143:function(a,e,s){"use strict";function t(a){var e,s,m="";if("string"==typeof a||"number"==typeof a)m+=a;else if("object"==typeof a)if(Array.isArray(a))for(e=0;e<a.length;e++)a[e]&&(s=t(a[e]))&&(m&&(m+=" "),m+=s);else for(e in a)a[e]&&(m&&(m+=" "),m+=e);return m}e.a=function(){for(var a,e,s=0,m="";s<arguments.length;)(a=arguments[s++])&&(e=t(a))&&(m&&(m+=" "),m+=e);return m}},144:function(a,e,s){"use strict";var t=s(0),m=s(145);e.a=function(){const a=Object(t.useContext)(m.a);if(null==a)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return a}},145:function(a,e,s){"use strict";var t=s(0);const m=Object(t.createContext)(void 0);e.a=m},146:function(a,e,s){"use strict";var t=s(0),m=s.n(t),n=s(144),p=s(143),b=s(56),r=s.n(b);const c=37,N=39;e.a=function(a){const{lazy:e,block:s,defaultValue:b,values:l,groupId:i,className:O}=a,{tabGroupChoices:j,setTabGroupChoices:o}=Object(n.a)(),[h,d]=Object(t.useState)(b),g=t.Children.toArray(a.children),u=[];if(null!=i){const a=j[i];null!=a&&a!==h&&l.some((e=>e.value===a))&&d(a)}const v=a=>{const e=a.target,s=u.indexOf(e),t=g[s].props.value;d(t),null!=i&&(o(i,t),setTimeout((()=>{(function(a){const{top:e,left:s,bottom:t,right:m}=a.getBoundingClientRect(),{innerHeight:n,innerWidth:p}=window;return e>=0&&m<=p&&t<=n&&s>=0})(e)||(e.scrollIntoView({block:"center",behavior:"smooth"}),e.classList.add(r.a.tabItemActive),setTimeout((()=>e.classList.remove(r.a.tabItemActive)),2e3))}),150))},y=a=>{var e;let s;switch(a.keyCode){case N:const e=u.indexOf(a.target)+1;s=u[e]||u[0];break;case c:const t=u.indexOf(a.target)-1;s=u[t]||u[u.length-1]}null===(e=s)||void 0===e||e.focus()};return m.a.createElement("div",{className:"tabs-container"},m.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(p.a)("tabs",{"tabs--block":s},O)},l.map((({value:a,label:e})=>m.a.createElement("li",{role:"tab",tabIndex:h===a?0:-1,"aria-selected":h===a,className:Object(p.a)("tabs__item",r.a.tabItem,{"tabs__item--active":h===a}),key:a,ref:a=>u.push(a),onKeyDown:y,onFocus:v,onClick:v},e)))),e?Object(t.cloneElement)(g.filter((a=>a.props.value===h))[0],{className:"margin-vert--md"}):m.a.createElement("div",{className:"margin-vert--md"},g.map(((a,e)=>Object(t.cloneElement)(a,{key:e,hidden:a.props.value!==h})))))}},147:function(a,e,s){"use strict";var t=s(0),m=s.n(t);e.a=function({children:a,hidden:e,className:s}){return m.a.createElement("div",{role:"tabpanel",hidden:e,className:s},a)}},76:function(a,e,s){"use strict";s.r(e),s.d(e,"frontMatter",(function(){return c})),s.d(e,"metadata",(function(){return N})),s.d(e,"toc",(function(){return l})),s.d(e,"default",(function(){return O}));var t=s(3),m=s(7),n=(s(0),s(140)),p=s(141),b=s(146),r=s(147),c={id:"syncGenerator",title:"Gerador S\xedncrono",sidebar_label:"Gerador S\xedncrono"},N={unversionedId:"syncGenerator",id:"syncGenerator",isDocsHomePage:!1,title:"Gerador S\xedncrono",description:"Uma m\xe1quina de corrente alternada na qual a frequ\xeancia das tens\xf5es geradas e a velocidade da m\xe1quina est\xe3o em uma propor\xe7\xe3o constante. [tradu\xe7\xe3o livre - IEC 60050](",source:"@site/docs/syncGenerator.md",slug:"/syncGenerator",permalink:"/PSP/docs/syncGenerator",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/syncGenerator.md",version:"current",sidebar_label:"Gerador S\xedncrono",sidebar:"docs",previous:{title:"Fonte de Corrente Harm\xf4nica",permalink:"/PSP/docs/harmSource"},next:{title:"Compensador S\xedncrono",permalink:"/PSP/docs/syncMotor"}},l=[{value:"Gerador S\xedncrono no PSP-UFU",id:"gerador-s\xedncrono-no-psp-ufu",children:[{value:"Gerador S\xedncrono no fluxo de carga",id:"gerador-s\xedncrono-no-fluxo-de-carga",children:[]},{value:"Gerador S\xedncrono no estudo de curto-circuito",id:"gerador-s\xedncrono-no-estudo-de-curto-circuito",children:[]},{value:"Gerador S\xedncrono no estudo de estabilidade",id:"gerador-s\xedncrono-no-estudo-de-estabilidade",children:[]}]},{value:"Formul\xe1rio de edi\xe7\xe3o dos geradores s\xedncronos",id:"formul\xe1rio-de-edi\xe7\xe3o-dos-geradores-s\xedncronos",children:[]},{value:"Acesso aos controles da m\xe1quina s\xedncrona",id:"acesso-aos-controles-da-m\xe1quina-s\xedncrona",children:[]},{value:"Refer\xeancias",id:"refer\xeancias",children:[]}],i={toc:l};function O(a){var e=a.components,s=Object(m.a)(a,["components"]);return Object(n.b)("wrapper",Object(t.a)({},i,s,{components:e,mdxType:"MDXLayout"}),Object(n.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(n.b)("blockquote",null,Object(n.b)("p",{parentName:"blockquote"},"Uma m\xe1quina de corrente alternada na qual a frequ\xeancia das tens\xf5es geradas e a velocidade da m\xe1quina est\xe3o em uma propor\xe7\xe3o constante. ",Object(n.b)("a",{parentName:"p",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=411-31-08"},Object(n.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),".")),Object(n.b)("h2",{id:"gerador-s\xedncrono-no-psp-ufu"},"Gerador S\xedncrono no PSP-UFU"),Object(n.b)("p",null,"Os geradores s\xedncronos s\xe3o a fonte de pot\xeancia para o c\xe1lculo do fluxo de carga e estabilidade, al\xe9m de serem um dos principais contribuintes para as correntes de falta."),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Somente barramentos que possuem esse elemento conectado podem ser considerados ",Object(n.b)("a",{parentName:"p",href:"powerFlow"},"barras de refer\xeancia"),". ",Object(n.b)("a",{parentName:"p",href:"powerFlow"},"Barras do tipo PV")," devem conter um gerador s\xedncrono ou um ",Object(n.b)("a",{parentName:"p",href:"syncMotor"},"motor s\xedncrono (compensador s\xedncrono)"),"."))),Object(n.b)("p",null,"O formul\xe1rio de dados \xe9 dividido em dois, sendo o primeiro respons\xe1vel pelos dados gerais, de ",Object(n.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga")," e de ",Object(n.b)("a",{parentName:"p",href:"fault"},"falta")," e um segundo pelos dados de ",Object(n.b)("a",{parentName:"p",href:"stability"},"estabilidade")," . Esse \xfaltimo tamb\xe9m permite o acesso aos controles das m\xe1quinas s\xedncronas manipulados pelo editor de controle."),Object(n.b)("div",{className:"admonition admonition-info alert alert--info"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Os dados referentes \xe0s ",Object(n.b)("strong",{parentName:"p"},"imped\xe2ncias de sequ\xeancia positiva do gerador s\xedncrono")," inseridas no ",Object(n.b)("a",{parentName:"p",href:"syncGenerator#falta"},'contexto (aba) "Falta"')," s\xe3o utilizados ",Object(n.b)("strong",{parentName:"p"},"tanto para os estudos de ",Object(n.b)("a",{parentName:"strong",href:"fault"},"curto-circuito")," quanto para os estudos de ",Object(n.b)("a",{parentName:"strong",href:"harmonics"},"harm\xf4nicos")),"."),Object(n.b)("p",{parentName:"div"},"Esses dados s\xe3o ignorados nos estudos de ",Object(n.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga")," (",Object(n.b)("em",{parentName:"p"},"n\xe3o s\xe3o utilizado nesse estudo"),") e ",Object(n.b)("a",{parentName:"p",href:"stability"},"estabilidade")," (",Object(n.b)("em",{parentName:"p"},"s\xe3o utilizados dados inseridos em formul\xe1rio espec\xedfico"),")."))),Object(n.b)("h3",{id:"gerador-s\xedncrono-no-fluxo-de-carga"},"Gerador S\xedncrono no fluxo de carga"),Object(n.b)("p",null,"O gerador s\xedncrono \xe9 a fonte de pot\xeancia do PSP-UFU no estudo de fluxo de carga. Seu comportamento difere de acordo com o tipo de barra conectada:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("a",{parentName:"li",href:"powerFlow"},"Barra de refer\xeancia"),": Os dados de pot\xeancia ativa e reativa inseridos s\xe3o desprezados, uma vez que esse elemento ser\xe1 utilizado para completar o balan\xe7o de pot\xeancia do estudo de fluxo d carga;"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("a",{parentName:"li",href:"powerFlow"},"Barra PV"),": O dado de pot\xeancia ativa \xe9 considerado, por\xe9m o dados de pot\xeancia reativa s\xe3o desprezados. O valor da pot\xeancia reativa \xe9 utilizado para manter o m\xf3dulo da tens\xe3o constante no barramento conectado;"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("a",{parentName:"li",href:"powerFlow"},"Barra PQ"),": Para os geradores conectados a essa barra tanto a pot\xeancia ativa quanto reativa inseridas s\xe3o consideradas.")),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Caso o limite de pot\xeancia reativa seja excedido, o programa automaticamente transforma a ",Object(n.b)("a",{parentName:"p",href:"powerFlow"},"Barra PV")," conectada em uma ",Object(n.b)("a",{parentName:"p",href:"powerFlow"},"Barra PQ"),", utilizando o valor limite de pot\xeancia reativa que seria ultrapassado."))),Object(n.b)("h3",{id:"gerador-s\xedncrono-no-estudo-de-curto-circuito"},"Gerador S\xedncrono no estudo de curto-circuito"),Object(n.b)("p",null,"Enquanto os geradores no estudo de fluxo de carga s\xe3o modelados somente por correntes injetadas nas barras, para o curto-circuito utiliza-se uma tens\xe3o atr\xe1s de uma imped\xe2ncia. A figura abaixo mostra o caminho da corrente e o circuito equivalente de cada sequ\xeancia nos geradores."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/sycGeneratorSeq.svg"),alt:"Caminho das correntes e circuito equivalente: (a) sequ\xeancia positiva; (b) sequ\xeancia negativa; (c) sequ\xeancia zero",title:"Caminho das correntes e circuito equivalente: (a) sequ\xeancia positiva; (b) sequ\xeancia negativa; (c) sequ\xeancia zero"}))),Object(n.b)("p",null,"As tens\xf5es geradas s\xe3o somente de sequ\xeancia positiva, uma vez que o gerador fornece sempre tens\xf5es trif\xe1sicas equilibradas. Portanto a rede de sequ\xeancia positiva \xe9 composta de uma tens\xe3o pr\xe9-falta atr\xe1s de uma imped\xe2ncia de sequ\xeancia positiva. As redes de sequ\xeancia negativa e zero n\xe3o cont\xeam for\xe7as eletromotrizes, por\xe9m incluem as imped\xe2ncias do gerador de sequ\xeancia negativa e zero."),Object(n.b)("p",null,"A corrente que circula na imped\xe2ncia ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{z}_n")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.78056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord overline"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," entre o neutro e a terra \xe9 ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mn",{parentName:"mrow"},"3"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"I"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mn",{parentName:"mrow"},"0")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"3\\dot{I}_{a0}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.07019em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"3"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),". Pela figura acima (c), observa-se que a queda de tens\xe3o de sequ\xeancia zero do ponto a para terra (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mn",{parentName:"mrow"},"0")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_{a0}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.07019em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),") \xe9:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mn",{parentName:"mrow"},"0"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("mn",{parentName:"mrow"},"3"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"I"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mn",{parentName:"mrow"},"0"))),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(n.b)("mi",{parentName:"msub"},"n")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"I"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mn",{parentName:"mrow"},"0"))),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"g"),Object(n.b)("mn",{parentName:"mrow"},"0")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_{a0} = -3\\dot{I}_{a0}\\overline{z}_n - \\dot{I}_{a0}\\overline{z}_{g0}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.07019em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.07019em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mord"},"3"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord overline"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.206298em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord overline"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"g"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"}))))))))))),Object(n.b)("p",null,"A rede de sequ\xeancia zero, que \xe9 um circuito monof\xe1sico pelo qual se sup\xf5e que circule apenas corrente de sequ\xeancia zero e deve, portanto, ter uma imped\xe2ncia definida pela seguinte equa\xe7\xe3o:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(n.b)("mn",{parentName:"msub"},"0")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mn",{parentName:"mrow"},"3"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(n.b)("mi",{parentName:"msub"},"n")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msub",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"g"),Object(n.b)("mn",{parentName:"mrow"},"0")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{z}_{0} = 3\\overline{z}_n + \\overline{z}_{g0}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.78056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord overline"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.79444em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"3"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord overline"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.916668em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord overline"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"g"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"}))))))))))),Object(n.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Caso o gerador n\xe3o seja aterrado, n\xe3o circular\xe1 corrente de sequ\xeancia zero por ele. Nesse caso, dependendo da conex\xe3o do transformador pr\xf3ximo ao gerador sem aterramento, a seguinte mensagem de erro pode ser exibida:"),Object(n.b)("p",null,Object(n.b)("center",null,'"',Object(n.b)("i",null,"Falha ao inverter a matriz admit\xe2ncia de sequ\xeancia zero"),'"')),Object(n.b)("p",{parentName:"div"},"Isso ocorre porque a matriz admit\xe2ncia de sequ\xeancia zero \xe9 singular. Para contornar esse problema escolha ",Object(n.b)("strong",{parentName:"p"},"uma")," das duas solu\xe7\xf5es abaixo:"),Object(n.b)("ol",{parentName:"div"},Object(n.b)("li",{parentName:"ol"},'Marque a op\xe7\xe3o "Neutro aterrado" e insira um alto valor de reat\xe2ncia de aterramento (',Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"j"),Object(n.b)("mn",{parentName:"mrow"},"9999"),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"j9999~p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.85396em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05724em"}},"j"),Object(n.b)("span",{parentName:"span",className:"mord"},"9"),Object(n.b)("span",{parentName:"span",className:"mord"},"9"),Object(n.b)("span",{parentName:"span",className:"mord"},"9"),Object(n.b)("span",{parentName:"span",className:"mord"},"9"),Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},"."))))),", por exemplo);"),Object(n.b)("li",{parentName:"ol"},Object(n.b)("strong",{parentName:"li"},"Ou"),", na barra do gerador, insira um ",Object(n.b)("a",{parentName:"li",href:"inductor"},"reator")," de baixo valor de pot\xeancia reativa (",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",separator:"true"},","),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mi",{parentName:"mrow"},"r")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1,0~var")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"1"),Object(n.b)("span",{parentName:"span",className:"mpunct"},","),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"0"),Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"))))),", por exemplo).")))),Object(n.b)("h3",{id:"gerador-s\xedncrono-no-estudo-de-estabilidade"},"Gerador S\xedncrono no estudo de estabilidade"),Object(n.b)("p",null,"A rela\xe7\xe3o de valores observados em testes adequados (definidos na ",Object(n.b)("a",{parentName:"p",href:"https://doi.org/10.1109/IEEESTD.2020.9050934"},"IEEE Std. 115-2019"),"), denominados par\xe2metros padr\xf5es, s\xe3o utilizados para modelar a m\xe1quina s\xedncrona no estudo de estabilidade do PSP-UFU."),Object(n.b)("p",null,"Os par\xe2metros da m\xe1quina s\xedncrona que influenciam rapidamente no decaimento de valores s\xe3o chamados ",Object(n.b)("strong",{parentName:"p"},"subtransit\xf3rios")," (indicados por ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"msup"}),Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"''")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.751892em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span"}),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))))))),"), aqueles que influenciam mais lentamente s\xe3o chamados ",Object(n.b)("strong",{parentName:"p"},"transit\xf3rios")," (indicados por ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"msup"}),Object(n.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"'")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.751892em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span"}),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))))))),") e, finalmente, aqueles que influenciam continuamente s\xe3o chamados de par\xe2metros ",Object(n.b)("strong",{parentName:"p"},"s\xedncronos")," (sem indica\xe7\xe3o de sobrescrito)."),Object(n.b)("p",null,"Um conjunto de equa\xe7\xf5es alg\xe9brico-diferenciais determinam o comportamento da m\xe1quina s\xedncrona no estudo de estabilidade:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"q")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mi",{parentName:"msub"},"a")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"q")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"s")),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mi",{parentName:"mrow"},"I"),Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mi",{parentName:"msub"},"a")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"q"),Object(n.b)("mi",{parentName:"mrow"},"s")),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mi",{parentName:"mrow"},"I"),Object(n.b)("mi",{parentName:"mrow"},"q"),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"))),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"q")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mi",{parentName:"msub"},"a")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"q")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"s")),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"))),Object(n.b)("mi",{parentName:"mrow"},"I"),Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"))),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"r"),Object(n.b)("mi",{parentName:"msub"},"a")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"q"),Object(n.b)("mi",{parentName:"mrow"},"s")),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"))),Object(n.b)("mi",{parentName:"mrow"},"I"),Object(n.b)("mi",{parentName:"mrow"},"q"),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"f"),Object(n.b)("mi",{parentName:"mrow"},"d"))),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"s"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("msubsup",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msubsup"},"T"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mn",{parentName:"mrow"},"0")),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"q")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"q")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"s"),Object(n.b)("mi",{parentName:"msub"},"q")),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("msubsup",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msubsup"},"T"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"q"),Object(n.b)("mn",{parentName:"mrow"},"0")),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"s"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"s"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("msubsup",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msubsup"},"T"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mn",{parentName:"mrow"},"0")),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"s"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"I"),Object(n.b)("mi",{parentName:"msub"},"q")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"s"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("msubsup",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msubsup"},"T"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"q"),Object(n.b)("mn",{parentName:"mrow"},"0")),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"\u03c9")),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("msub",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"msub"},"\u03c9"),Object(n.b)("mi",{parentName:"msub"},"r")),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mn",{parentName:"mrow"},"2"),Object(n.b)("mi",{parentName:"mrow"},"H"))),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"m")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"e")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"D"),Object(n.b)("mi",{parentName:"msub"},"a")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mi",{parentName:"mrow"},"\u03c9"),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03c9"),Object(n.b)("mi",{parentName:"msub"},"r")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"\u03b4")),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub",mathvariant:"normal"},"\u03a9"),Object(n.b)("mi",{parentName:"msub"},"b")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("mi",{parentName:"mrow"},"\u03c9"),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03c9"),Object(n.b)("mi",{parentName:"msub"},"r")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"E_{q}' - V_q = r_aI_q - x_{ds}'Id\\\\ E_{d}' - V_d = r_aI_d - x_{qs}'Iq\\\\ E_{q}'' - V_q = r_aI_q - x_{ds}''Id\\\\ E_{d}'' - V_d = r_aI_d - x_{qs}''Iq\\\\ ~\\\\ \\frac{dE_{q}'}{dt} = \\frac{V_{fd} + \\left( x_d - x_{d}' \\right)I_d - s_d E_{q}'}{T_{d0}'}\\\\ \\frac{dE_{d}'}{dt} = \\frac{- \\left( x_q - x_{q}' \\right)I_q - s_q E_{d}'}{T_{q0}'}\\\\ \\frac{dE_{q}''}{dt} = \\frac{s_dE_{q}' + \\left( x_{d}' - x_{d}'' \\right)I_d - s_d E_{q}''}{T_{d0}''}\\\\ \\frac{dE_{d}''}{dt} = \\frac{s_dE_{d}' + \\left( x_{q}' - x_{q}'' \\right)I_q - s_d E_{d}''}{T_{q0}''}\\\\ ~\\\\ \\frac{d\\omega}{dt} = \\frac{\\omega_r}{2H} \\left[ P_m - P_e - D_a \\left( \\omega - \\omega_r \\right) \\right]\\\\ \\frac{d\\delta}{dt} = \\Omega_b\\left( \\omega - \\omega_r \\right)")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.185em",verticalAlign:"-0.383108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.801892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1130000000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8018919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d")),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8018919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.185em",verticalAlign:"-0.383108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.801892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1130000000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"q")),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.185em",verticalAlign:"-0.383108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.801892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1130000000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8018919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d")),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8018919999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.185em",verticalAlign:"-0.383108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.801892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1130000000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"q")),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0")),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.211em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.525em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.773108em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.512308em",verticalAlign:"-0.9873080000000001em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.525em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.733692em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.398692em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.0448em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30130799999999996em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.773108em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9873080000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.114892em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.428892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.7115240000000003em",verticalAlign:"-1.088416em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6231080000000002em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.733692em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4336920000000006em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.0448000000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.4024159999999999em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.773108em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.088416em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.211em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.525em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.773108em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.512308em",verticalAlign:"-0.9873080000000001em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.525em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.733692em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.398692em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.0448em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30130799999999996em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.773108em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9873080000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.114892em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.428892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.7115240000000003em",verticalAlign:"-1.088416em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6231080000000002em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"T"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.733692em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4336920000000006em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.0448000000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.4024159999999999em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.773108em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.383108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.088416em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0")),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.05744em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.7935599999999998em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1075599999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"2"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.08125em"}},"H"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"["),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"D"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},"]")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.05744em",verticalAlign:"-0.686em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03785em"}},"\u03b4")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u03a9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")"))))))),Object(n.b)("p",null,"As duas \xfaltimas equa\xe7\xf5es diferenciais s\xe3o as equa\xe7\xf5es mec\xe2nicas da m\xe1quina; e as demais s\xe3o equa\xe7\xf5es el\xe9tricas (consulte essa ",Object(n.b)("a",{parentName:"p",href:"https://dx.doi.org/10.14393/ufu.te.2019.2444"},"tese")," para maiores detalhes acerca dos par\xe2metros dessas equa\xe7\xf5es)."),Object(n.b)("p",null,"Utilizando as equa\xe7\xf5es transit\xf3rias e subtransit\xf3rias podem-se definir cinco modelos de distintas complexidades."),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"O modelo da m\xe1quina s\xedncrona \xe9 ",Object(n.b)("strong",{parentName:"p"},"selecionado automaticamente")," de acordo com os dados fornecidos ao programa."))),Object(n.b)("p",null,"Na sequ\xeancia s\xe3o apresentados tais modelos, inclu\xeddos os efeitos da satura\xe7\xe3o magn\xe9tica, em conjunto com seus diagramas de blocos:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Modelo 1"),": Corresponde a uma tens\xe3o constante atr\xe1s de uma reat\xe2ncia transit\xf3ria de eixo direto (",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_{d}'")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.035em",verticalAlign:"-0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(n.b)("span",{parentName:"span"})))))))))),"), n\xe3o exigindo equa\xe7\xf5es diferenciais;"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Modelo 2"),": S\xe3o representados os efeitos transit\xf3rios de eixo direto, sendo necess\xe1ria a solu\xe7\xe3o de uma equa\xe7\xe3o diferencial (",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{dE_{q}'}{dt}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1869em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.60742em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8278285714285715em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-2.931em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.42488571428571426em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))),"), cujo diagrama de blocos \xe9 apresentado na figura abaixo:")),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/model2SyncGenerator.svg"),alt:"Diagrama de blocos do Modelo 2 das m\xe1quinas s\xedncronas",title:"Diagrama de blocos do Modelo 2 das m\xe1quinas s\xedncronas"}))),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Modelo 3"),": S\xe3o representados os efeitos transit\xf3rios de eixo direto e em quadratura, exigindo duas equa\xe7\xf5es diferenciais (",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{dE_{q}'}{dt}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1869em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.60742em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8278285714285715em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-2.931em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.42488571428571426em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))," e ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{dE_{d}'}{dt}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.43468em",verticalAlign:"-0.345em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.08968em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.5102em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8278285714285715em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-2.931em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))),"), cujo diagrama de blocos \xe9 apresentado na figura abaixo:")),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/model3SyncGenerator.svg"),alt:"Diagrama de blocos do Modelo 3 das m\xe1quinas s\xedncronas",title:"Diagrama de blocos do Modelo 3 das m\xe1quinas s\xedncronas"}))),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Modelo 4"),": S\xe3o representados os efeitos subtransit\xf3rios de eixo direto e em quadratura, sendo necess\xe1ria a solu\xe7\xe3o de tr\xeas equa\xe7\xf5es diferenciais (",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{dE_{q}'}{dt}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1869em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.60742em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8278285714285715em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-2.931em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.42488571428571426em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))),", ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{dE_{q}''}{dt}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1869em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.60742em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8278285714285715em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-2.931em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.42488571428571426em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))," e ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{dE_{d}''}{dt}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.43468em",verticalAlign:"-0.345em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.08968em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.5102em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8278285714285715em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-2.931em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))),"), cujo diagrama de blocos \xe9 apresentado na figura abaixo:")),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/model4SyncGenerator.svg"),alt:"Diagrama de blocos do Modelo 4 das m\xe1quinas s\xedncronas",title:"Diagrama de blocos do Modelo 4 das m\xe1quinas s\xedncronas"}))),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Modelo 5"),": S\xe3o representados os efeitos subtransit\xf3rios de eixo direto e em quadratura, sendo necess\xe1ria a solu\xe7\xe3o de quatro equa\xe7\xf5es diferenciais (",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{dE_{q}'}{dt}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1869em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.60742em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8278285714285715em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-2.931em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.42488571428571426em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))),", ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{dE_{d}'}{dt}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.43468em",verticalAlign:"-0.345em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.08968em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.5102em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8278285714285715em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-2.931em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))),", ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"q"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{dE_{q}''}{dt}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1869em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.60742em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8278285714285715em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",style:{top:"-2.931em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.42488571428571426em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))," e ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"E"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032"),Object(n.b)("mo",{parentName:"mrow",mathvariant:"normal"},"\u2032")))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"t")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{dE_{d}''}{dt}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.43468em",verticalAlign:"-0.345em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.08968em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.5102em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8278285714285715em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-2.931em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286em"}},Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))),"), cujo diagrama de blocos \xe9 apresentado na figura abaixo:")),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/model5SyncGenerator.svg"),alt:"Diagrama de blocos do Modelo 4 das m\xe1quinas s\xedncronas",title:"Diagrama de blocos do Modelo 4 das m\xe1quinas s\xedncronas"}))),Object(n.b)("div",{className:"admonition admonition-info alert alert--info"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Em todos os modelos as equa\xe7\xf5es diferenciais mec\xe2nicas s\xe3o solucionadas."))),Object(n.b)("h4",{id:"satura\xe7\xe3o"},"Satura\xe7\xe3o"),Object(n.b)("p",null,"Para representar matematicamente o efeito da satura\xe7\xe3o nas equa\xe7\xf5es das m\xe1quinas s\xedncronas s\xe3o introduzidos \u201cfatores de satura\xe7\xe3o\u201d que modificam as imped\xe2ncias do circuito equivalente, os quais dependem de uma reat\xe2ncia de dispers\xe3o efetiva, chamada de reat\xe2ncia de Potier (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"p"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_p")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.716668em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))))))),")."),Object(n.b)("p",null,"Tal reat\xe2ncia pode ser obtida por meio de ensaios (utilizando curvas de satura\xe7\xe3o de circuito aberto e carga de fator de pot\xeancia zero) ou estimadas de forma aproximada por outros par\xe2metros da m\xe1quina. A reat\xe2ncia de dispers\xe3o (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"l"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_l")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),"), aqui substitu\xedda de forma aproximada por ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"p"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_p")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.716668em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))))))),", representa a parcela da reat\xe2ncia da m\xe1quina originados do fluxo magn\xe9tico que percorrem o ar na maioria de seu caminho e, portanto, \xe9 independente da satura\xe7\xe3o."),Object(n.b)("p",null,"O m\xe9todo implementado no programa permite reproduzir a satura\xe7\xe3o em ambos os eixos (direto e em quadratura), diferindo entre si devido \xe0 diverg\xeancia no tamanho do entreferro. \xc9 assumido que a soma vetorial das duas componentes do fluxo magn\xe9tico saturado est\xe1 em fase com a f.m.m. e proporcional \xe0 Tens\xe3o de Potier (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"E"),Object(n.b)("mi",{parentName:"msub"},"p"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"E_p")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))))))),", a qual \xe9 a tens\xe3o atr\xe1s da reat\xe2ncia de Potier)."),Object(n.b)("p",null,"Para isso, s\xe3o utilizados internamente dois fatores de satura\xe7\xe3o, sendo um no eixo direto (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"s"),Object(n.b)("mi",{parentName:"msub"},"d"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"s_d")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),") e outro no eixo em quadratura (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"s"),Object(n.b)("mi",{parentName:"msub"},"q"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"s_q")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.716668em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))))))),"). Esses fatores de satura\xe7\xe3o s\xe3o ",Object(n.b)("strong",{parentName:"p"},"automaticamente calculados")," a cada passo de integra\xe7\xe3o e dependem da curva de satura\xe7\xe3o da m\xe1quina definida pelo ",Object(n.b)("a",{parentName:"p",href:"syncGenerator#fator-de-satura%C3%A7%C3%A3o"},"fator de satura\xe7\xe3o inserido no formul\xe1rio de edi\xe7\xe3o de dados"),"."),Object(n.b)("p",null,"Portanto as reat\xe2ncias saturadas, que devem ser inseridas nas equa\xe7\xf5es alg\xe9bricas da m\xe1quina, s\xe3o definidas pelas seguintes equa\xe7\xf5es:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"s"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"p"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"s"),Object(n.b)("mi",{parentName:"msub"},"d")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"p")))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"q"),Object(n.b)("mi",{parentName:"mrow"},"s"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"q")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"p"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"s"),Object(n.b)("mi",{parentName:"msub"},"q")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mi",{parentName:"msub"},"p"))))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_{ds}=\\frac{x_d-x_p}{s_d +x_p}\\\\ x_{qs}=\\frac{x_q-x_p}{s_q +x_p}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.232438em",verticalAlign:"-0.972108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.26033em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.972108em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.716668em",verticalAlign:"-0.286108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.232438em",verticalAlign:"-0.972108em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.26033em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.972108em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(n.b)("p",null,"Essas equa\xe7\xf5es tamb\xe9m s\xe3o utilizadas para as reat\xe2ncias transit\xf3rias e subtransit\xf3rias, visto que o valor da reat\xe2ncia de Potier (ou de dispers\xe3o) n\xe3o \xe9 alterada."),Object(n.b)("h4",{id:"barramento-infinito"},"Barramento infinito"),Object(n.b)("p",null,"Algumas refer\xeancias incluem um modelo sem equa\xe7\xf5es diferenciais, em que a m\xe1quina \xe9 somente representada por uma tens\xe3o constante atr\xe1s de uma reat\xe2ncia transit\xf3ria de eixo direto. Tal \xe9 utilizado na representa\xe7\xe3o de um ",Object(n.b)("strong",{parentName:"p"},"barramento infinito"),", o qual \xe9 normalmente constitu\xeddo de um subsistema muito maior \xe0quele simulado."),Object(n.b)("p",null,"No PSP-UFU a ",Object(n.b)("strong",{parentName:"p"},"representa\xe7\xe3o de um barramento infinito")," pode ser obtido por meio da utiliza\xe7\xe3o de uma m\xe1quina representada pelo Modelo 1 cujo valor da constante de in\xe9rcia (H) \xe9 infinito ou muito grande (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mn",{parentName:"mrow"},"9999"),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mi",{parentName:"mrow"},"s")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"9999~s")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"9"),Object(n.b)("span",{parentName:"span",className:"mord"},"9"),Object(n.b)("span",{parentName:"span",className:"mord"},"9"),Object(n.b)("span",{parentName:"span",className:"mord"},"9"),Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"s"))))),", por exemplo) em rela\xe7\xe3o \xe0s demais m\xe1quinas do sistema, e o valor de ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mi",{parentName:"msubsup"},"d"),Object(n.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_{d}'")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.035em",verticalAlign:"-0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(n.b)("span",{parentName:"span"}))))))))))," deve ser um valor muito pequeno (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mn",{parentName:"msup"},"0"),Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("mn",{parentName:"mrow"},"3"))),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"10^{-3}~p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.008548em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"1"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"0"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"3"))))))))),Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},"."))))),", por exemplo)."),Object(n.b)("h4",{id:"centro-de-in\xe9rcia"},"Centro de in\xe9rcia"),Object(n.b)("p",null,"Normalmente utiliza-se a velocidade de refer\xeancia como sendo a s\xedncrona e portanto, nesse caso, ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03c9"),Object(n.b)("mi",{parentName:"msub"},"r")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03c9"),Object(n.b)("mi",{parentName:"msub"},"b")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",separator:"true"},","),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\omega_r = \\omega_b = 1,0~p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"1"),Object(n.b)("span",{parentName:"span",className:"mpunct"},","),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"0"),Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},".")))))," Essa abordagem, adotada por v\xe1rios livros de estabilidade, considera como refer\xeancia uma m\xe1quina fict\xedcia girando sempre na velocidade s\xedncrona independente das perturba\xe7\xf5es aplicadas no sistema. No PSP-UFU foi implementado o conceito de centro de in\xe9rcia (COI, do ingl\xeas, ",Object(n.b)("em",{parentName:"p"},"Center of Inertia"),"), que constitui uma soma ponderada das velocidades das m\xe1quinas presentes no sistema:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03c9"),Object(n.b)("mi",{parentName:"msub"},"r")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("munderover",{parentName:"mrow"},Object(n.b)("mo",{parentName:"munderover"},"\u2211"),Object(n.b)("mrow",{parentName:"munderover"},Object(n.b)("mi",{parentName:"mrow"},"i"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mn",{parentName:"mrow"},"1")),Object(n.b)("mi",{parentName:"munderover"},"n")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"H"),Object(n.b)("mi",{parentName:"msub"},"i")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03c9"),Object(n.b)("mi",{parentName:"msub"},"i")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("munderover",{parentName:"mrow"},Object(n.b)("mo",{parentName:"munderover"},"\u2211"),Object(n.b)("mrow",{parentName:"munderover"},Object(n.b)("mi",{parentName:"mrow"},"i"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mn",{parentName:"mrow"},"1")),Object(n.b)("mi",{parentName:"munderover"},"n")),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"H"),Object(n.b)("mi",{parentName:"msub"},"i")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\omega_r=\\frac{\\left( \\sum_{i=1}^{n} H_i \\omega_i \\right)}{\\left( \\sum_{i=1}^{n} H_i \\right)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"2.488004em",verticalAlign:"-0.994002em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.494002em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.305708em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mop"},Object(n.b)("span",{parentName:"span",className:"mop op-symbol small-op",style:{position:"relative",top:"-0.0000050000000000050004em"}},"\u2211"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.804292em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.40029em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(n.b)("span",{parentName:"span",className:"mrel mtight"},"="),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2029em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.29971000000000003em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.08125em"}},"H"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.08125em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.6897100000000003em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mop"},Object(n.b)("span",{parentName:"span",className:"mop op-symbol small-op",style:{position:"relative",top:"-0.0000050000000000050004em"}},"\u2211"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.804292em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.40029em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(n.b)("span",{parentName:"span",className:"mrel mtight"},"="),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2029em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.29971000000000003em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.08125em"}},"H"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.08125em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c9"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.994002em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(n.b)("p",null,"Em que:\n",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"n")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"n")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"n"))))),"\t\xe9 o n\xfamero de m\xe1quinas s\xedncronas ",Object(n.b)("strong",{parentName:"p"},"conectadas")," no sistema."),Object(n.b)("p",null,"A aplica\xe7\xe3o do COI resulta em dados de sa\xedda, como o \xe2ngulo do rotor, mais f\xe1ceis de serem analisados. Na implementa\xe7\xe3o realizada no programa a utiliza\xe7\xe3o ou n\xe3o desse recurso \xe9 opcional e pode ser ",Object(n.b)("a",{parentName:"p",href:"simulationConfig"},"definida pelo usu\xe1rio"),"."),Object(n.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-dos-geradores-s\xedncronos"},"Formul\xe1rio de edi\xe7\xe3o dos geradores s\xedncronos"),Object(n.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de inser\xe7\xe3o/altera\xe7\xe3o de dados dos geradores s\xedncronos:"),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/syncGeneratorForm.png"),alt:"Formul\xe1rio dos geradores s\xedncronos no PSP-UFU",title:"Formul\xe1rio dos geradores s\xedncronos no PSP-UFU"}))),Object(n.b)("p",null,'Um segundo pelos dados de estabilidade, como mostra a figura abaixo, acessado ao clicar no bot\xe3o "Estabilidade" do formul\xe1rio principal. Nele \xe9 poss\xedvel tamb\xe9m acessar aos controles das m\xe1quinas s\xedncronas manipulados pelo ',Object(n.b)("a",{parentName:"p",href:"controlEditor"},"editor de controle"),"."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/syncGeneratorStabForm.png"),alt:"Formul\xe1rio de estabilidade dos geradores s\xedncronos no PSP-UFU",title:"Formul\xe1rio de estabilidade dos geradores s\xedncronos no PSP-UFU"}))),Object(n.b)("p",null,'No formul\xe1rio de estabilidade pode ser observado o bot\xe3o "Chaveamento" na parte inferior esquerda do formul\xe1rio. Esse formul\xe1rio, comum a v\xe1rios outros elementos, permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do gerador durante o estudo de ',Object(n.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/syncGeneratorSw.png"),alt:"Formul\xe1rio de chaveamento do gerador s\xedncrono",title:"Formul\xe1rio de chaveamento do gerador s\xedncrono"}))),Object(n.b)(b.a,{groupId:"syncGenerator-tabs",defaultValue:"general",values:[{label:"Geral",value:"general"},{label:"Falta",value:"fault"},{label:"Bot\xe3o Estabilidade",value:"stability"},{label:"Bot\xe3o Chaveamento",value:"switching"}],mdxType:"Tabs"},Object(n.b)(r.a,{value:"general",mdxType:"TabItem"},Object(n.b)("h4",{id:"nome"},"Nome"),Object(n.b)("p",null,"Identifica\xe7\xe3o do elemento el\xe9trico. Podem ser inseridos quaisquer n\xfameros de caracteres no padr\xe3o ",Object(n.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Unicode"},"Unicode"),"."),Object(n.b)("p",null,"Todos os componentes de pot\xeancia do PSP-UFU possuem esse campo."),Object(n.b)("h4",{id:"pot\xeancia-nominal"},"Pot\xeancia nominal"),Object(n.b)("p",null,"Pot\xeancia nominal do gerador, inserida em MVA, kVA ou VA."),Object(n.b)("p",null,'Esse campo \xe9 especialmente importante caso a op\xe7\xe3o "Utilizar a pot\xeancia nominal como base" esteja marcada.'),Object(n.b)("h4",{id:"pot\xeancias-ativa-e-reativa"},"Pot\xeancias ativa e reativa"),Object(n.b)("p",null,"Pot\xeancias ativa (inserida em W, kW, MW ou p.u.) e reativa (inserida em var, kvar, Mvar ou p.u.) do gerador."),Object(n.b)("p",null,"Caso a barra conectada seja PV o valor de pot\xeancia reativa ser\xe1 ignorado e caso seja de refer\xeancia ambos os valores inseridos ser\xe3o desprezados."),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Caso mais de um gerador esteja conectado na mesma barra, os valores de pot\xeancia reativa (nas barras de refer\xeancia e PV) e ativa (nas barras de refer\xeancia) s\xe3o igualmente distribu\xeddas, respeitando os limites individuais de pot\xeancia reativa."))),Object(n.b)("h4",{id:"pot\xeancias-reativas-m\xe1xima-e-m\xednima"},"Pot\xeancias reativas m\xe1xima e m\xednima"),Object(n.b)("p",null,"Limites de pot\xeancia reativa m\xe1xima e m\xednima do gerador para controle de tens\xe3o em barras PV. Caso esses valores sejam ultrapassados, o reativo gerado pela unidade ser\xe1 limitado ao valor inserido e a barra conectada ser\xe1 transformada em PQ, n\xe3o controlando a tens\xe3o estabelecida."),Object(n.b)("h4",{id:"utilizar-pot\xeancia-nominal-como-base"},"Utilizar pot\xeancia nominal como base"),Object(n.b)("p",null,"Caso essa op\xe7\xe3o seja marcada, o programa ir\xe1 utilizar a pot\xeancia nominal do gerador como base para a convers\xe3o das unidades, inclusive aqueles no formul\xe1rio de estabilidade, caso contr\xe1rio ser\xe1 usada a ",Object(n.b)("a",{parentName:"p",href:"simulationConfig"},"pot\xeancia base do sistema"),".")),Object(n.b)(r.a,{value:"fault",mdxType:"TabItem"},Object(n.b)("h4",{id:"imped\xe2ncias-de-sequ\xeancia"},"Imped\xe2ncias de sequ\xeancia"),Object(n.b)("p",null,"Valores de resist\xeancia e reat\xe2ncia para c\xe1lculo das correntes de falta. S\xe3o inseridos dados de sequ\xeancia positiva, negativa e zero."),Object(n.b)("h4",{id:"imped\xe2ncia-de-aterramento"},"Imped\xe2ncia de aterramento"),Object(n.b)("p",null,"Valores utilizados para o c\xe1lculo das correntes de falta do tipo fase-terra e fase-fase-terra. Caso o neutro do gerador n\xe3o seja aterrado, o valor inserido nesse campo \xe9 ignorado."),Object(n.b)("h4",{id:"neutro-aterrado"},"Neutro aterrado"),Object(n.b)("p",null,"Indica se o neutro do gerador \xe9 aterrado.")),Object(n.b)(r.a,{value:"stability",mdxType:"TabItem"},Object(n.b)("h4",{id:"imprimir-dados-da-m\xe1quina-s\xedncrona"},"Imprimir dados da m\xe1quina s\xedncrona"),Object(n.b)("p",null,"Exibe os dados do gerador s\xedncrono nos gr\xe1ficos no tempo. Os seguintes dados s\xe3o exibidos:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},"tens\xe3o terminal"),Object(n.b)("li",{parentName:"ul"},"pot\xeancias ativa e reativas"),Object(n.b)("li",{parentName:"ul"},"pot\xeancia mec\xe2nica"),Object(n.b)("li",{parentName:"ul"},"frequ\xeancia"),Object(n.b)("li",{parentName:"ul"},"tens\xe3o de campo"),Object(n.b)("li",{parentName:"ul"},"\xe2ngulo ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"\u03b4")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\delta")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.69444em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03785em"}},"\u03b4"))))),".")),Object(n.b)("h4",{id:"utilizar-avr-e-regulador-de-velocidade"},"Utilizar AVR e regulador de velocidade"),Object(n.b)("p",null,"Esses campos acionam ou inibem os controles da m\xe1quina s\xedncrona, assim como modelos de turbina e excitatrizes."),Object(n.b)("p",null,"Caso selecionadas os controles podem ser inseridos e modificados pelos bot\xf5es \u201cEditar AVR\u201d e \u201cEditar regulador de velocidade\u201d, os quais acessam o ",Object(n.b)("a",{parentName:"p",href:"controlEditor"},"editor de controle do PSP-UFU"),"."),Object(n.b)("h4",{id:"resist\xeancia-de-armadura"},"Resist\xeancia de armadura"),Object(n.b)("p",null,"Resist\xeancia de armadura da m\xe1quina s\xedncrona, em ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},".")))))),Object(n.b)("h4",{id:"reat\xe2ncia-de-potier"},"Reat\xe2ncia de Potier"),Object(n.b)("p",null,"Reat\xe2ncia de Potier para c\xe1lculo da satura\xe7\xe3o da m\xe1quina, em ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},".")))))),Object(n.b)("h4",{id:"fator-de-satura\xe7\xe3o"},"Fator de satura\xe7\xe3o"),Object(n.b)("p",null,"Valor utilizado no c\xe1lculo da curva de satura\xe7\xe3o."),Object(n.b)("p",null,"Representa o valor (em ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},"."))))),") de corrente de campo necess\xe1ria para atingir 1,2 p.u. de tens\xe3o terminal."),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Esse valor deve ser ",Object(n.b)("strong",{parentName:"p"},"maior que 1,2"),", ou ir\xe1 gerar erros na simula\xe7\xe3o. Caso n\xe3o seja informado, a satura\xe7\xe3o da m\xe1quina n\xe3o \xe9 considerada nos c\xe1lculos."))),Object(n.b)("h4",{id:"frequ\xeancia-de-circuito-aberto"},"Frequ\xeancia de circuito aberto"),Object(n.b)("p",null,"Indica a velocidade da m\xe1quina no caso de in\xedcio da simula\xe7\xe3o desconectada da rede."),Object(n.b)("div",{className:"admonition admonition-info alert alert--info"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Essa informa\xe7\xe3o \xe9 particularmente \xfatil na an\xe1lise de conex\xe3o de geradores dessincronizados na rede."))),Object(n.b)("h4",{id:"reat\xe2ncias-s\xedncronas"},"Reat\xe2ncias s\xedncronas"),Object(n.b)("p",null,"Valores de reat\xe2ncia s\xedncrona (regime permanente) da m\xe1quina. Os valores de eixo direto e em quadratura devem ser iguais ou muito pr\xf3ximos para representa\xe7\xe3o de uma m\xe1quina de polos lisos, enquanto para polos salientes esses valores s\xe3o distintos."),Object(n.b)("h4",{id:"reat\xe2ncias-e-constantes-de-tempo-transit\xf3rias"},"Reat\xe2ncias e constantes de tempo transit\xf3rias"),Object(n.b)("p",null,"Par\xe2metros transit\xf3rios da m\xe1quina s\xedncrona em ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},".")))))," ou segundos."),Object(n.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"O valor da reat\xe2ncia transit\xf3ria de eixo direto deve ser diferente de zero ou levar\xe1 o programa a erro."))),Object(n.b)("p",null,"De acordo com a quantidade de par\xe2metros inseridos \xe9 definido internamente pelo programa qual o modelo a ser utilizado."),Object(n.b)("h4",{id:"reat\xe2ncias-e-constantes-de-tempo-subtransit\xf3rias"},"Reat\xe2ncias e constantes de tempo subtransit\xf3rias"),Object(n.b)("p",null,"Par\xe2metros subtransit\xf3rios da m\xe1quina s\xedncrona em ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},".")))))," ou segundos, representando em detalhes a presen\xe7a de enrolamentos amortecedores. Assim como os dados transit\xf3rios, esses par\xe2metros definem o modelo da m\xe1quina.")),Object(n.b)(r.a,{value:"switching",mdxType:"TabItem"},Object(n.b)("p",null,'O bot\xe3o "Chaveamento" ir\xe1 abrir um formul\xe1rio, comum a v\xe1rios outros elementos, que permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do gerador durante o estudo de ',Object(n.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(n.b)("p",null,'Nesse formul\xe1rio pode ser criada uma lista gen\xe9rica de inser\xe7\xf5es e remo\xe7\xf5es da linha no tempo, personalizada por um contexto de propriedades de chaveamento que s\xe3o editados o tipo de chaveamento (inser\xe7\xe3o ou remo\xe7\xe3o) e o instante (em segundos) do evento. Essas propriedades s\xe3o atribu\xeddas e retiradas da lista gen\xe9rica por meio dos bot\xf5es "Adicionar" e "Remover", respectivamente.'))),Object(n.b)("h2",{id:"acesso-aos-controles-da-m\xe1quina-s\xedncrona"},"Acesso aos controles da m\xe1quina s\xedncrona"),Object(n.b)("p",null,"Como j\xe1 ",Object(n.b)("a",{parentName:"p",href:"syncGenerator#utilizar-avr-e-regulador-de-velocidade"},"mencionado anteriormente"),', os reguladores de velocidade e tens\xe3o da m\xe1quina s\xedncrona podem ser acionados ou inibidos por meio das caixas de sele\xe7\xe3o "',Object(n.b)("a",{parentName:"p",href:"syncGenerator#utilizar-avr-e-regulador-de-velocidade"},"Utilizar AVR e regulador de velocidade"),'". Ambas as op\xe7\xf5es ir\xe3o acessar o ',Object(n.b)("a",{parentName:"p",href:"controlEditor"},"editor de controles"),"."),Object(n.b)("p",null,"O acesso aos controles do ",Object(n.b)("strong",{parentName:"p"},"AVR"),' poder\xe3o ent\xe3o ser criados e manipulados ao clicar no bot\xe3o "Editar AVR", assim como o ',Object(n.b)("strong",{parentName:"p"},"Regulador de Velocidade"),' \xe9 acessado no bot\xe3o "Editar regulador de velocidade".'),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"No PSP-UFU a op\xe7\xe3o de editar o ",Object(n.b)("strong",{parentName:"p"},"AVR")," engloba mais que somente o controle de tens\xe3o da m\xe1quina. Nele ",Object(n.b)("strong",{parentName:"p"},"deve")," ser inserida a malha de controle da m\xe1quina assim como a ",Object(n.b)("strong",{parentName:"p"},"excitatriz da m\xe1quina s\xedncrona"),". Outras estrat\xe9gias de controle (opcionais), como PSS (",Object(n.b)("em",{parentName:"p"},"Power System Stabilizer"),") e/ou controles de sobre e sub excita\xe7\xe3o, s\xe3o tamb\xe9m implementadas em conjunto."))),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Assim como no AVR, o ",Object(n.b)("strong",{parentName:"p"},"Regulador de Velocidade")," engloba mais que a regula\xe7\xe3o prim\xe1ria da m\xe1quina. Nessa op\xe7\xe3o ",Object(n.b)("strong",{parentName:"p"},"deve")," ser inserida ao menos a malha de controle da regula\xe7\xe3o prim\xe1ria de velocidade, assim como o ",Object(n.b)("strong",{parentName:"p"},"modelo da turbina"),". Estrat\xe9gias opcionais de controle da velocidade tamb\xe9m s\xe3o inseridas nessa op\xe7\xe3o."))),Object(n.b)("h2",{id:"refer\xeancias"},"Refer\xeancias"),Object(n.b)("ol",null,Object(n.b)("li",{parentName:"ol"},"MILANO, F. Power System Modelling and Scripting. London: Springer, 2010. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1007/978-3-642-13669-6"},"https://doi.org/10.1007/978-3-642-13669-6")),Object(n.b)("li",{parentName:"ol"},"ARRILLAGA, J.; WATSON, N. R. Computer Modelling of Electrical Power Systems. Wiley & Sons, New York, 2001. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1002/9781118878286"},"https://doi.org/10.1002/9781118878286")),Object(n.b)("li",{parentName:"ol"},"KUNDUR, P. Power System Stability and Control. McGraw-Hill, New York, 1994."),Object(n.b)("li",{parentName:"ol"},"DOMMEL, H. W.; SATO, N. Fast Transient Stability Solutions. IEEE Transactions on Power Aparatus and Systems, v. PAS-91, n. 4, jul 1972, p. 1643-1650. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1109/TPAS.1972.293341"},"https://doi.org/10.1109/TPAS.1972.293341")),Object(n.b)("li",{parentName:"ol"},"IEEE Std 1110-2002 IEEE Guide for Synchronous Generator Modeling Practices and Applications in Power System Stability Analyses. IEEE, New York, nov. 2003. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1109/IEEESTD.2003.94408"},"https://doi.org/10.1109/IEEESTD.2003.94408")),Object(n.b)("li",{parentName:"ol"},"KIMBARK, E. W. Power System Stability: Volume III \u2013 Synchronous Machine. New York: Wiley-IEEE Press, 1995.")))}O.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/1.c1697df3.js b/docs/assets/js/1.c1697df3.js
new file mode 100644
index 0000000..d6ea4a7
--- /dev/null
+++ b/docs/assets/js/1.c1697df3.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[1],{141:function(e,t,n){"use strict";n.d(t,"b",(function(){return s})),n.d(t,"a",(function(){return i}));var r=n(16),o=n(142);function s(){const{siteConfig:{baseUrl:e="/",url:t}={}}=Object(r.default)();return{withBaseUrl:(n,r)=>function(e,t,n,{forcePrependBaseUrl:r=!1,absolute:s=!1}={}){if(!n)return n;if(n.startsWith("#"))return n;if(Object(o.b)(n))return n;if(r)return t+n;const i=n.startsWith(t)?n:t+n.replace(/^\//,"");return s?e+i:i}(t,e,n,r)}}function i(e,t={}){const{withBaseUrl:n}=s();return n(e,t)}},142:function(e,t,n){"use strict";function r(e){return!0===/^(\w*:|\/\/)/.test(e)}function o(e){return void 0!==e&&!r(e)}n.d(t,"b",(function(){return r})),n.d(t,"a",(function(){return o}))},143:function(e,t,n){"use strict";function r(e){var t,n,o="";if("string"==typeof e||"number"==typeof e)o+=e;else if("object"==typeof e)if(Array.isArray(e))for(t=0;t<e.length;t++)e[t]&&(n=r(e[t]))&&(o&&(o+=" "),o+=n);else for(t in e)e[t]&&(o&&(o+=" "),o+=t);return o}t.a=function(){for(var e,t,n=0,o="";n<arguments.length;)(e=arguments[n++])&&(t=r(e))&&(o&&(o+=" "),o+=t);return o}},148:function(e,t,n){"use strict";Object.defineProperty(t,"__esModule",{value:!0});var r=n(171);Object.defineProperty(t,"useThemeConfig",{enumerable:!0,get:function(){return r.useThemeConfig}});var o=n(190);Object.defineProperty(t,"useAlternatePageUtils",{enumerable:!0,get:function(){return o.useAlternatePageUtils}});var s=n(191);Object.defineProperty(t,"docVersionSearchTag",{enumerable:!0,get:function(){return s.docVersionSearchTag}}),Object.defineProperty(t,"DEFAULT_SEARCH_TAG",{enumerable:!0,get:function(){return s.DEFAULT_SEARCH_TAG}});var i=n(172);Object.defineProperty(t,"isDocsPluginEnabled",{enumerable:!0,get:function(){return i.isDocsPluginEnabled}});var u=n(195);Object.defineProperty(t,"isSamePath",{enumerable:!0,get:function(){return u.isSamePath}});var a=n(196);Object.defineProperty(t,"useTitleFormatter",{enumerable:!0,get:function(){return a.useTitleFormatter}});var c=n(197);Object.defineProperty(t,"usePluralForm",{enumerable:!0,get:function(){return c.usePluralForm}});var l=n(198);Object.defineProperty(t,"useDocsPreferredVersion",{enumerable:!0,get:function(){return l.useDocsPreferredVersion}}),Object.defineProperty(t,"useDocsPreferredVersionByPluginId",{enumerable:!0,get:function(){return l.useDocsPreferredVersionByPluginId}});var f=n(173);Object.defineProperty(t,"DocsPreferredVersionContextProvider",{enumerable:!0,get:function(){return f.DocsPreferredVersionContextProvider}})},149:function(e,t,n){"use strict";n.d(t,"b",(function(){return f})),n.d(t,"a",(function(){return d}));var r=n(0),o=n.n(r);const s=/{\w+}/g,i="{}";function u(e,t){const n=[],r=e.replace(s,(e=>{const r=e.substr(1,e.length-2),s=null==t?void 0:t[r];if(void 0!==s){const e=o.a.isValidElement(s)?s:String(s);return n.push(e),i}return e}));return 0===n.length?e:n.every((e=>"string"==typeof e))?r.split(i).reduce(((e,t,r)=>{var o;return e.concat(t).concat(null!==(o=n[r])&&void 0!==o?o:"")}),""):r.split(i).reduce(((e,t,r)=>[...e,o.a.createElement(o.a.Fragment,{key:r},t,n[r])]),[])}function a({children:e,values:t}){return u(e,t)}var c=n(27);function l({id:e,message:t}){var n;return null!==(n=c[null!=e?e:t])&&void 0!==n?n:t}function f({message:e,id:t},n){var r;return u(null!==(r=l({message:e,id:t}))&&void 0!==r?r:e,n)}function d({children:e,id:t,values:n}){var r;const s=null!==(r=l({message:e,id:t}))&&void 0!==r?r:e;return o.a.createElement(a,{values:n},s)}},150:function(e,t,n){"use strict";var r=n(0),o=n.n(r),s=n(10),i=n(142),u=n(8);const a=Object(r.createContext)({collectLink:()=>{}});var c=n(141),l=function(e,t){var n={};for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&t.indexOf(r)<0&&(n[r]=e[r]);if(null!=e&&"function"==typeof Object.getOwnPropertySymbols){var o=0;for(r=Object.getOwnPropertySymbols(e);o<r.length;o++)t.indexOf(r[o])<0&&Object.prototype.propertyIsEnumerable.call(e,r[o])&&(n[r[o]]=e[r[o]])}return n};t.a=function(e){var t,{isNavLink:n,to:f,href:d,activeClassName:g,isActive:v,"data-noBrokenLinkCheck":m,autoAddBaseUrl:p=!0}=e,h=l(e,["isNavLink","to","href","activeClassName","isActive","data-noBrokenLinkCheck","autoAddBaseUrl"]);const{withBaseUrl:b}=Object(c.b)(),P=Object(r.useContext)(a),D=f||d,_=Object(i.a)(D),y=null==D?void 0:D.replace("pathname://",""),O=void 0!==y?(V=y,p&&(e=>e.startsWith("/"))(V)?b(V):V):void 0;var V;const A=Object(r.useRef)(!1),j=n?s.e:s.c,w=u.a.canUseIntersectionObserver;let E;Object(r.useEffect)((()=>(!w&&_&&window.docusaurus.prefetch(O),()=>{w&&E&&E.disconnect()})),[O,w,_]);const C=null!==(t=null==O?void 0:O.startsWith("#"))&&void 0!==t&&t,x=!O||!_||C;return O&&_&&!C&&!m&&P.collectLink(O),x?o.a.createElement("a",Object.assign({href:O},D&&!_&&{target:"_blank",rel:"noopener noreferrer"},h)):o.a.createElement(j,Object.assign({},h,{onMouseEnter:()=>{A.current||(window.docusaurus.preload(O),A.current=!0)},innerRef:e=>{var t,n;w&&e&&_&&(t=e,n=()=>{window.docusaurus.prefetch(O)},E=new window.IntersectionObserver((e=>{e.forEach((e=>{t===e.target&&(e.isIntersecting||e.intersectionRatio>0)&&(E.unobserve(t),E.disconnect(),n())}))})),E.observe(t))},to:O||""},n&&{isActive:v,activeClassName:g}))}},151:function(e,t,n){try{e.exports=n(192)}catch(r){const t={};e.exports={useAllDocsData:()=>t,useActivePluginAndVersion:()=>{}}}},161:function(e,t,n){"use strict";n.d(t,"a",(function(){return a}));var r=n(0),o=n.n(r),s=n(25),i=n(141),u=n(148);function a({title:e,description:t,keywords:n,image:r}){const a=Object(u.useTitleFormatter)(e),c=Object(i.a)(r,{absolute:!0});return o.a.createElement(s.a,null,e&&o.a.createElement("title",null,a),e&&o.a.createElement("meta",{property:"og:title",content:a}),t&&o.a.createElement("meta",{name:"description",content:t}),t&&o.a.createElement("meta",{property:"og:description",content:t}),n&&o.a.createElement("meta",{name:"keywords",content:Array.isArray(n)?n.join(","):n}),r&&o.a.createElement("meta",{property:"og:image",content:c}),r&&o.a.createElement("meta",{name:"twitter:image",content:c}),r&&o.a.createElement("meta",{name:"twitter:card",content:"summary_large_image"}))}},171:function(e,t,n){"use strict";var r=this&&this.__importDefault||function(e){return e&&e.__esModule?e:{default:e}};Object.defineProperty(t,"__esModule",{value:!0}),t.useThemeConfig=void 0;const o=r(n(16));t.useThemeConfig=function(){return o.default().siteConfig.themeConfig}},172:function(e,t,n){"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.isDocsPluginEnabled=void 0;const r=n(151);t.isDocsPluginEnabled=!!r.useAllDocsData},173:function(e,t,n){"use strict";var r=this&&this.__createBinding||(Object.create?function(e,t,n,r){void 0===r&&(r=n),Object.defineProperty(e,r,{enumerable:!0,get:function(){return t[n]}})}:function(e,t,n,r){void 0===r&&(r=n),e[r]=t[n]}),o=this&&this.__setModuleDefault||(Object.create?function(e,t){Object.defineProperty(e,"default",{enumerable:!0,value:t})}:function(e,t){e.default=t}),s=this&&this.__importStar||function(e){if(e&&e.__esModule)return e;var t={};if(null!=e)for(var n in e)"default"!==n&&Object.hasOwnProperty.call(e,n)&&r(t,e,n);return o(t,e),t},i=this&&this.__importDefault||function(e){return e&&e.__esModule?e:{default:e}};Object.defineProperty(t,"__esModule",{value:!0}),t.useDocsPreferredVersionContext=t.DocsPreferredVersionContextProvider=void 0;const u=s(n(0)),a=n(171),c=n(172),l=n(151),f=i(n(199));function d({pluginIds:e,versionPersistence:t,allDocsData:n}){const r={};return e.forEach((e=>{r[e]=function(e){const r=f.default.read(e,t);return n[e].versions.some((e=>e.name===r))?{preferredVersionName:r}:(f.default.clear(e,t),{preferredVersionName:null})}(e)})),r}function g(){const e=l.useAllDocsData(),t=a.useThemeConfig().docs.versionPersistence,n=u.useMemo((()=>Object.keys(e)),[e]),[r,o]=u.useState((()=>function(e){const t={};return e.forEach((e=>{t[e]={preferredVersionName:null}})),t}(n)));u.useEffect((()=>{o(d({allDocsData:e,versionPersistence:t,pluginIds:n}))}),[e,t,n]);return[r,u.useMemo((()=>({savePreferredVersion:function(e,n){f.default.save(e,t,n),o((t=>Object.assign(Object.assign({},t),{[e]:{preferredVersionName:n}})))}})),[o])]}const v=u.createContext(null);function m({children:e}){const t=g();return u.default.createElement(v.Provider,{value:t},e)}t.DocsPreferredVersionContextProvider=function({children:e}){return c.isDocsPluginEnabled?u.default.createElement(m,null,e):u.default.createElement(u.default.Fragment,null,e)},t.useDocsPreferredVersionContext=function(){const e=u.useContext(v);if(!e)throw new Error("Can't find docs preferred context, maybe you forgot to use the DocsPreferredVersionContextProvider ?");return e}},190:function(e,t,n){"use strict";var r=this&&this.__importDefault||function(e){return e&&e.__esModule?e:{default:e}};Object.defineProperty(t,"__esModule",{value:!0}),t.useAlternatePageUtils=void 0;const o=r(n(16)),s=n(23);t.useAlternatePageUtils=function(){const{siteConfig:{baseUrl:e,url:t},i18n:{defaultLocale:n,currentLocale:r}}=o.default(),{pathname:i}=s.useLocation(),u=r===n?e:e.replace(`/${r}/`,"/"),a=i.replace(e,"");return{createUrl:function({locale:e,fullyQualified:r}){return`${r?t:""}${function(e){return e===n?`${u}`:`${u}${e}/`}(e)}${a}`}}}},191:function(e,t,n){"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.docVersionSearchTag=t.DEFAULT_SEARCH_TAG=void 0,t.DEFAULT_SEARCH_TAG="default",t.docVersionSearchTag=function(e,t){return`docs-${e}-${t}`}},192:function(e,t,n){"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.useDocVersionSuggestions=t.useActiveDocContext=t.useActiveVersion=t.useLatestVersion=t.useVersions=t.useActivePluginAndVersion=t.useActivePlugin=t.useDocsData=t.useAllDocsData=void 0;const r=n(23),o=n(193),s=n(194);t.useAllDocsData=()=>o.useAllPluginInstancesData("docusaurus-plugin-content-docs"),t.useDocsData=e=>o.usePluginData("docusaurus-plugin-content-docs",e),t.useActivePlugin=(e={})=>{const n=t.useAllDocsData(),{pathname:o}=r.useLocation();return s.getActivePlugin(n,o,e)},t.useActivePluginAndVersion=(e={})=>{const n=t.useActivePlugin(e),{pathname:o}=r.useLocation();if(n){return{activePlugin:n,activeVersion:s.getActiveVersion(n.pluginData,o)}}},t.useVersions=e=>t.useDocsData(e).versions,t.useLatestVersion=e=>{const n=t.useDocsData(e);return s.getLatestVersion(n)},t.useActiveVersion=e=>{const n=t.useDocsData(e),{pathname:o}=r.useLocation();return s.getActiveVersion(n,o)},t.useActiveDocContext=e=>{const n=t.useDocsData(e),{pathname:o}=r.useLocation();return s.getActiveDocContext(n,o)},t.useDocVersionSuggestions=e=>{const n=t.useDocsData(e),{pathname:o}=r.useLocation();return s.getDocVersionSuggestions(n,o)}},193:function(e,t,n){"use strict";n.r(t),n.d(t,"default",(function(){return o})),n.d(t,"useAllPluginInstancesData",(function(){return s})),n.d(t,"usePluginData",(function(){return i}));var r=n(16);function o(){const{globalData:e}=Object(r.default)();if(!e)throw new Error("Docusaurus global data not found");return e}function s(e){const t=o()[e];if(!t)throw new Error(`Docusaurus plugin global data not found for pluginName=${e}`);return t}function i(e,t="default"){const n=s(e)[t];if(!n)throw new Error(`Docusaurus plugin global data not found for pluginName=${e} and pluginId=${t}`);return n}},194:function(e,t,n){"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.getDocVersionSuggestions=t.getActiveDocContext=t.getActiveVersion=t.getLatestVersion=t.getActivePlugin=void 0;const r=n(23);t.getActivePlugin=function(e,t,n={}){const o=Object.entries(e).find((([e,n])=>!!r.matchPath(t,{path:n.path,exact:!1,strict:!1}))),s=o?{pluginId:o[0],pluginData:o[1]}:void 0;if(!s&&n.failfast)throw new Error(`Can't find active docs plugin for pathname=${t}, while it was expected to be found. Maybe you tried to use a docs feature that can only be used on a docs-related page? Existing docs plugin paths are: ${Object.values(e).map((e=>e.path)).join(", ")}`);return s},t.getLatestVersion=e=>e.versions.find((e=>e.isLast)),t.getActiveVersion=(e,n)=>{const o=t.getLatestVersion(e);return[...e.versions.filter((e=>e!==o)),o].find((e=>!!r.matchPath(n,{path:e.path,exact:!1,strict:!1})))},t.getActiveDocContext=(e,n)=>{const o=t.getActiveVersion(e,n),s=null==o?void 0:o.docs.find((e=>!!r.matchPath(n,{path:e.path,exact:!0,strict:!1})));return{activeVersion:o,activeDoc:s,alternateDocVersions:s?function(t){const n={};return e.versions.forEach((e=>{e.docs.forEach((r=>{r.id===t&&(n[e.name]=r)}))})),n}(s.id):{}}},t.getDocVersionSuggestions=(e,n)=>{const r=t.getLatestVersion(e),o=t.getActiveDocContext(e,n),s=o.activeVersion!==r;return{latestDocSuggestion:s?null==o?void 0:o.alternateDocVersions[r.name]:void 0,latestVersionSuggestion:s?r:void 0}}},195:function(e,t,n){"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.isSamePath=void 0,t.isSamePath=(e,t)=>{const n=e=>!e||(null==e?void 0:e.endsWith("/"))?e:`${e}/`;return n(e)===n(t)}},196:function(e,t,n){"use strict";var r=this&&this.__importDefault||function(e){return e&&e.__esModule?e:{default:e}};Object.defineProperty(t,"__esModule",{value:!0}),t.useTitleFormatter=void 0;const o=r(n(16));t.useTitleFormatter=e=>{const{siteConfig:t={}}=o.default(),{title:n,titleDelimiter:r="|"}=t;return e&&e.trim().length?`${e.trim()} ${r} ${n}`:n}},197:function(e,t,n){"use strict";var r=this&&this.__importDefault||function(e){return e&&e.__esModule?e:{default:e}};Object.defineProperty(t,"__esModule",{value:!0}),t.usePluralForm=void 0;const o=n(0),s=r(n(16)),i=["zero","one","two","few","many","other"];function u(e){return i.filter((t=>e.includes(t)))}const a={locale:"en",pluralForms:u(["one","other"]),select:e=>1===e?"one":"other"};function c(){const{i18n:{currentLocale:e}}=s.default();return o.useMemo((()=>{if(!Intl||!Intl.PluralRules)return console.error("Intl.PluralRules not available!\nDocusaurus will fallback to a default/fallback (English) Intl.PluralRules implementation.\n        "),a;try{return function(e){const t=new Intl.PluralRules(e);return{locale:e,pluralForms:u(t.resolvedOptions().pluralCategories),select:e=>t.select(e)}}(e)}catch(t){return console.error(`Failed to use Intl.PluralRules for locale=${e}.\nDocusaurus will fallback to a default/fallback (English) Intl.PluralRules implementation.\n`),a}}),[e])}t.usePluralForm=function(){const e=c();return{selectMessage:(t,n)=>function(e,t,n){const r=e.split("|");if(1===r.length)return r[0];{r.length>n.pluralForms.length&&console.error(`For locale=${n.locale}, a maximum of ${n.pluralForms.length} plural forms are expected (${n.pluralForms}), but the message contains ${r.length} plural forms: ${e} `);const o=n.select(t),s=n.pluralForms.indexOf(o);return r[Math.min(s,r.length-1)]}}(n,t,e)}}},198:function(e,t,n){"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.useDocsPreferredVersionByPluginId=t.useDocsPreferredVersion=void 0;const r=n(0),o=n(173),s=n(151),i=n(200);t.useDocsPreferredVersion=function(e=i.DEFAULT_PLUGIN_ID){const t=s.useDocsData(e),[n,u]=o.useDocsPreferredVersionContext(),{preferredVersionName:a}=n[e];return{preferredVersion:a?t.versions.find((e=>e.name===a)):null,savePreferredVersionName:r.useCallback((t=>{u.savePreferredVersion(e,t)}),[u])}},t.useDocsPreferredVersionByPluginId=function(){const e=s.useAllDocsData(),[t]=o.useDocsPreferredVersionContext(),n=Object.keys(e),r={};return n.forEach((n=>{r[n]=function(n){const r=e[n],{preferredVersionName:o}=t[n];return o?r.versions.find((e=>e.name===o)):null}(n)})),r}},199:function(e,t,n){"use strict";Object.defineProperty(t,"__esModule",{value:!0});const r=e=>`docs-preferred-version-${e}`,o={save:(e,t,n)=>{"none"===t||window.localStorage.setItem(r(e),n)},read:(e,t)=>"none"===t?null:window.localStorage.getItem(r(e)),clear:(e,t)=>{"none"===t||window.localStorage.removeItem(r(e))}};t.default=o},200:function(e,t,n){"use strict";n.r(t),n.d(t,"DEFAULT_PLUGIN_ID",(function(){return r}));const r="default"}}]);
\ No newline at end of file
diff --git a/docs/assets/js/109a3630.56afc9a7.js b/docs/assets/js/109a3630.56afc9a7.js
new file mode 100644
index 0000000..80a1612
--- /dev/null
+++ b/docs/assets/js/109a3630.56afc9a7.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[8],{140:function(a,e,s){"use strict";s.d(e,"a",(function(){return N})),s.d(e,"b",(function(){return j}));var t=s(0),m=s.n(t);function n(a,e,s){return e in a?Object.defineProperty(a,e,{value:s,enumerable:!0,configurable:!0,writable:!0}):a[e]=s,a}function p(a,e){var s=Object.keys(a);if(Object.getOwnPropertySymbols){var t=Object.getOwnPropertySymbols(a);e&&(t=t.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),s.push.apply(s,t)}return s}function b(a){for(var e=1;e<arguments.length;e++){var s=null!=arguments[e]?arguments[e]:{};e%2?p(Object(s),!0).forEach((function(e){n(a,e,s[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(s)):p(Object(s)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(s,e))}))}return a}function r(a,e){if(null==a)return{};var s,t,m=function(a,e){if(null==a)return{};var s,t,m={},n=Object.keys(a);for(t=0;t<n.length;t++)s=n[t],e.indexOf(s)>=0||(m[s]=a[s]);return m}(a,e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);for(t=0;t<n.length;t++)s=n[t],e.indexOf(s)>=0||Object.prototype.propertyIsEnumerable.call(a,s)&&(m[s]=a[s])}return m}var c=m.a.createContext({}),l=function(a){var e=m.a.useContext(c),s=e;return a&&(s="function"==typeof a?a(e):b(b({},e),a)),s},N=function(a){var e=l(a.components);return m.a.createElement(c.Provider,{value:e},a.children)},i={inlineCode:"code",wrapper:function(a){var e=a.children;return m.a.createElement(m.a.Fragment,{},e)}},O=m.a.forwardRef((function(a,e){var s=a.components,t=a.mdxType,n=a.originalType,p=a.parentName,c=r(a,["components","mdxType","originalType","parentName"]),N=l(s),O=t,j=N["".concat(p,".").concat(O)]||N[O]||i[O]||n;return s?m.a.createElement(j,b(b({ref:e},c),{},{components:s})):m.a.createElement(j,b({ref:e},c))}));function j(a,e){var s=arguments,t=e&&e.mdxType;if("string"==typeof a||t){var n=s.length,p=new Array(n);p[0]=O;var b={};for(var r in e)hasOwnProperty.call(e,r)&&(b[r]=e[r]);b.originalType=a,b.mdxType="string"==typeof a?a:t,p[1]=b;for(var c=2;c<n;c++)p[c]=s[c];return m.a.createElement.apply(null,p)}return m.a.createElement.apply(null,s)}O.displayName="MDXCreateElement"},141:function(a,e,s){"use strict";s.d(e,"b",(function(){return n})),s.d(e,"a",(function(){return p}));var t=s(16),m=s(142);function n(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(t.default)();return{withBaseUrl:(s,t)=>function(a,e,s,{forcePrependBaseUrl:t=!1,absolute:n=!1}={}){if(!s)return s;if(s.startsWith("#"))return s;if(Object(m.b)(s))return s;if(t)return e+s;const p=s.startsWith(e)?s:e+s.replace(/^\//,"");return n?a+p:p}(e,a,s,t)}}function p(a,e={}){const{withBaseUrl:s}=n();return s(a,e)}},142:function(a,e,s){"use strict";function t(a){return!0===/^(\w*:|\/\/)/.test(a)}function m(a){return void 0!==a&&!t(a)}s.d(e,"b",(function(){return t})),s.d(e,"a",(function(){return m}))},143:function(a,e,s){"use strict";function t(a){var e,s,m="";if("string"==typeof a||"number"==typeof a)m+=a;else if("object"==typeof a)if(Array.isArray(a))for(e=0;e<a.length;e++)a[e]&&(s=t(a[e]))&&(m&&(m+=" "),m+=s);else for(e in a)a[e]&&(m&&(m+=" "),m+=e);return m}e.a=function(){for(var a,e,s=0,m="";s<arguments.length;)(a=arguments[s++])&&(e=t(a))&&(m&&(m+=" "),m+=e);return m}},144:function(a,e,s){"use strict";var t=s(0),m=s(145);e.a=function(){const a=Object(t.useContext)(m.a);if(null==a)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return a}},145:function(a,e,s){"use strict";var t=s(0);const m=Object(t.createContext)(void 0);e.a=m},146:function(a,e,s){"use strict";var t=s(0),m=s.n(t),n=s(144),p=s(143),b=s(56),r=s.n(b);const c=37,l=39;e.a=function(a){const{lazy:e,block:s,defaultValue:b,values:N,groupId:i,className:O}=a,{tabGroupChoices:j,setTabGroupChoices:o}=Object(n.a)(),[h,g]=Object(t.useState)(b),d=t.Children.toArray(a.children),u=[];if(null!=i){const a=j[i];null!=a&&a!==h&&N.some((e=>e.value===a))&&g(a)}const y=a=>{const e=a.target,s=u.indexOf(e),t=d[s].props.value;g(t),null!=i&&(o(i,t),setTimeout((()=>{(function(a){const{top:e,left:s,bottom:t,right:m}=a.getBoundingClientRect(),{innerHeight:n,innerWidth:p}=window;return e>=0&&m<=p&&t<=n&&s>=0})(e)||(e.scrollIntoView({block:"center",behavior:"smooth"}),e.classList.add(r.a.tabItemActive),setTimeout((()=>e.classList.remove(r.a.tabItemActive)),2e3))}),150))},v=a=>{var e;let s;switch(a.keyCode){case l:const e=u.indexOf(a.target)+1;s=u[e]||u[0];break;case c:const t=u.indexOf(a.target)-1;s=u[t]||u[u.length-1]}null===(e=s)||void 0===e||e.focus()};return m.a.createElement("div",{className:"tabs-container"},m.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(p.a)("tabs",{"tabs--block":s},O)},N.map((({value:a,label:e})=>m.a.createElement("li",{role:"tab",tabIndex:h===a?0:-1,"aria-selected":h===a,className:Object(p.a)("tabs__item",r.a.tabItem,{"tabs__item--active":h===a}),key:a,ref:a=>u.push(a),onKeyDown:v,onFocus:y,onClick:y},e)))),e?Object(t.cloneElement)(d.filter((a=>a.props.value===h))[0],{className:"margin-vert--md"}):m.a.createElement("div",{className:"margin-vert--md"},d.map(((a,e)=>Object(t.cloneElement)(a,{key:e,hidden:a.props.value!==h})))))}},147:function(a,e,s){"use strict";var t=s(0),m=s.n(t);e.a=function({children:a,hidden:e,className:s}){return m.a.createElement("div",{role:"tabpanel",hidden:e,className:s},a)}},77:function(a,e,s){"use strict";s.r(e),s.d(e,"frontMatter",(function(){return b})),s.d(e,"metadata",(function(){return r})),s.d(e,"toc",(function(){return c})),s.d(e,"default",(function(){return N}));var t=s(3),m=s(7),n=(s(0),s(140)),p=s(141),b=(s(146),s(147),{id:"powerFlow",title:"Fluxo de Pot\xeancia",sidebar_label:"Fluxo de Pot\xeancia"}),r={unversionedId:"powerFlow",id:"powerFlow",isDocsHomePage:!1,title:"Fluxo de Pot\xeancia",description:"Um estudo fundamental no planejamento da expans\xe3o e opera\xe7\xe3o de um sistema el\xe9trico \xe9 o fluxo de pot\xeancia (ou fluxo de carga) uma vez que a opera\xe7\xe3o satisfat\xf3ria desse sistema depende do conhecimento dos efeitos da interliga\xe7\xe3o, de novas cargas, de novas centrais geradoras e de novas linhas antes que elas sejam instaladas. Esse estudo tem como objetivo encontrar o fluxo de pot\xeancia nos ramos e as tens\xf5es nodais do Sistema El\xe9trico de Pot\xeancia (SEP) impostas pela gera\xe7\xe3o e a carga.",source:"@site/docs/powerFlow.md",slug:"/powerFlow",permalink:"/PSP/docs/powerFlow",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/powerFlow.md",version:"current",sidebar_label:"Fluxo de Pot\xeancia",sidebar:"docs",previous:{title:"Express\xe3o Matem\xe1tica",permalink:"/PSP/docs/mathExpression"},next:{title:"Curto-Circuito",permalink:"/PSP/docs/fault"}},c=[{value:"Formula\xe7\xe3o do problema de fluxo de carga",id:"formula\xe7\xe3o-do-problema-de-fluxo-de-carga",children:[]},{value:"Execu\xe7\xe3o do fluxo de carga no PSP-UFU",id:"execu\xe7\xe3o-do-fluxo-de-carga-no-psp-ufu",children:[{value:"Erros comuns na execu\xe7\xe3o do fluxo de carga",id:"erros-comuns-na-execu\xe7\xe3o-do-fluxo-de-carga",children:[]}]},{value:"M\xe9todos de solu\xe7\xe3o num\xe9rica do fluxo de carga no PSP-UFU",id:"m\xe9todos-de-solu\xe7\xe3o-num\xe9rica-do-fluxo-de-carga-no-psp-ufu",children:[{value:"Gauss-Seidel",id:"gauss-seidel",children:[]},{value:"Newton-Raphson",id:"newton-raphson",children:[]}]},{value:"Controles e limites em um problema de fluxo de carga",id:"controles-e-limites-em-um-problema-de-fluxo-de-carga",children:[]},{value:"Refer\xeancias",id:"refer\xeancias",children:[]}],l={toc:c};function N(a){var e=a.components,s=Object(m.a)(a,["components"]);return Object(n.b)("wrapper",Object(t.a)({},l,s,{components:e,mdxType:"MDXLayout"}),Object(n.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(n.b)("p",null,"Um estudo fundamental no planejamento da expans\xe3o e opera\xe7\xe3o de um sistema el\xe9trico \xe9 o ",Object(n.b)("strong",{parentName:"p"},"fluxo de pot\xeancia (ou fluxo de carga)")," uma vez que a opera\xe7\xe3o satisfat\xf3ria desse sistema depende do conhecimento dos efeitos da interliga\xe7\xe3o, de novas cargas, de novas centrais geradoras e de novas linhas antes que elas sejam instaladas. Esse estudo tem como objetivo encontrar o fluxo de pot\xeancia nos ramos e as tens\xf5es nodais do Sistema El\xe9trico de Pot\xeancia (SEP) impostas pela gera\xe7\xe3o e a carga."),Object(n.b)("p",null,"As equa\xe7\xf5es formuladas a partir dos modelos dos elementos presentes no estudo de fluxo de carga s\xe3o n\xe3o lineares e n\xe3o possuem solu\xe7\xe3o anal\xedtica expl\xedcita. Portanto \xe9 necess\xe1ria a utiliza\xe7\xe3o de m\xe9todos num\xe9ricos iterativos para solu\xe7\xe3o do problema de fluxo de carga."),Object(n.b)("h2",{id:"formula\xe7\xe3o-do-problema-de-fluxo-de-carga"},"Formula\xe7\xe3o do problema de fluxo de carga"),Object(n.b)("p",null,"O problema de fluxo de carga pode ser representado por um sistema de equa\xe7\xf5es e inequa\xe7\xf5es alg\xe9bricas n\xe3o-lineares que correspondem \xe0s leis de Kirchhoff e a um conjunto de restri\xe7\xf5es de opera\xe7\xe3o impostos pelos componentes de uma rede el\xe9trica.\nNa formula\xe7\xe3o do problema a cada barra da rede s\xe3o associadas quatro vari\xe1veis, sendo que duas delas surgem como dados e duas como inc\xf3gnitas (em uma barra de \xedndice ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"i")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"i"))))),"):"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),"\t\xe9 a magnitude da tens\xe3o na barra ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"i")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"i"))))),";"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\u03b8_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.84444em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),"\t\xe9 o \xe2ngulo da tens\xe3o na barra ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"i")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"i"))))),";"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),"\t\xe9 a inje\xe7\xe3o l\xedquida de pot\xeancia ativa na barra ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"i")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"i"))))),";"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),"\t\xe9 a inje\xe7\xe3o l\xedquida de pot\xeancia reativa na barra ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"i")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"i"))))),".")),Object(n.b)("p",null,"Relativo \xe0s vari\xe1veis que s\xe3o inc\xf3gnitas e os dados do sistema, podem ser definidos ",Object(n.b)("strong",{parentName:"p"},"tr\xeas tipos de barras"),":"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Barra PQ"),":\t",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," s\xe3o dados, ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\u03b8_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.84444em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," s\xe3o calculados;"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Barra PV"),":\t",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," s\xe3o dados, ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\u03b8_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.84444em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," s\xe3o calculados;"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Barra de Refer\xeancia"),"\t",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\u03b8_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.84444em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," s\xe3o dados, ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," s\xe3o calculados.")),Object(n.b)("div",{className:"admonition admonition-info alert alert--info"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"As ",Object(n.b)("strong",{parentName:"p"},"barras PQ")," geralmente s\xe3o representadas pelos barramentos de carga, os quais n\xe3o h\xe1 gera\xe7\xe3o e controle de tens\xe3o."),Object(n.b)("p",{parentName:"div"},"As ",Object(n.b)("strong",{parentName:"p"},"barras PV")," se caracterizam pelo controle de tens\xe3o mediante a inje\xe7\xe3o ou absor\xe7\xe3o de pot\xeancia reativa por meio do controle da excita\xe7\xe3o de uma m\xe1quina s\xedncrona."),Object(n.b)("p",{parentName:"div"},"A ",Object(n.b)("strong",{parentName:"p"},"barra de Refer\xeancia")," (ou de folga, de oscila\xe7\xe3o) tem como fun\xe7\xe3o, assim como o pr\xf3prio nome diz, servir de refer\xeancia de tens\xe3o e \xe2ngulo do sistema. Essa barra \xe9 necessariamente geradora, uma vez que ela \xe9 respons\xe1vel pelo equil\xedbrio do balan\xe7o de pot\xeancia do sistema."))),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"O tipo de barra deve ser definido no ",Object(n.b)("a",{parentName:"p",href:"bus"},"elemento barramento"),"."),Object(n.b)("p",{parentName:"div"},"Note que ",Object(n.b)("strong",{parentName:"p"},"o sistema deve possuir somente uma barra de refer\xeancia"),"."))),Object(n.b)("p",null,"Como mencionado anteriormente, as equa\xe7\xf5es s\xe3o n\xe3o-lineares e a solu\xe7\xe3o anal\xedtica n\xe3o \xe9 pr\xe1tica. As solu\xe7\xf5es dessas equa\xe7\xf5es seguem ",Object(n.b)("strong",{parentName:"p"},Object(n.b)("a",{parentName:"strong",href:"https://en.wikipedia.org/wiki/Iterative_method"},"processos iterativos")),", em que s\xe3o atribu\xeddos valores estimados (ou iniciais) para as barras com tens\xf5es desconhecidas e, baseado na pot\xeancia ativa e reativa e m\xf3dulo da tens\xe3o especificados, calcula-se por meio das equa\xe7\xf5es previamente apresentadas as novas tens\xf5es complexas em cada n\xf3 do sistema."),Object(n.b)("p",null,"Na sequ\xeancia, esse conjunto de valores para as tens\xf5es em cada barra \xe9 utilizado para novamente calcular outro grupo de tens\xf5es. Cada c\xe1lculo de um novo conjunto de tens\xf5es \xe9 chamado itera\xe7\xe3o. O processo iterativo \xe9 repetido at\xe9 que as mudan\xe7as em todas as barras sejam menores do que um valor pr\xe9-estipulado, obtendo assim a converg\xeancia."),Object(n.b)("h2",{id:"execu\xe7\xe3o-do-fluxo-de-carga-no-psp-ufu"},"Execu\xe7\xe3o do fluxo de carga no PSP-UFU"),Object(n.b)("p",null,"Ap\xf3s a constru\xe7\xe3o do diagrama unifilar no ",Object(n.b)("a",{parentName:"p",href:"powerEditor"},"editor de pot\xeancia"),", a execu\xe7\xe3o do fluxo de carga \xe9 realizada no ",Object(n.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"menu Simula\xe7\xe3o")," clicando no bot\xe3o ",Object(n.b)("strong",{parentName:"p"},"Fluxo de carga"),"."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/menuSimulationPF.svg"),alt:"Menu Simula\xe7\xe3o",title:"Menu Simula\xe7\xe3o"}))),Object(n.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Caso o fluxo de carga tenha sido executado com sucesso, as setas de pot\xeancia ser\xe3o exibidas, a barra de status indicar\xe1 sucesso na opera\xe7\xe3o e os ",Object(n.b)("a",{parentName:"p",href:"text"},"elementos de texto")," ser\xe3o atualizados."))),Object(n.b)("p",null,Object(n.b)("strong",{parentName:"p"},"Outra possibilidade")," \xe9 a execu\xe7\xe3o por meio do c\xe1lculo cont\xednuo, tamb\xe9m presente no ",Object(n.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"menu Simula\xe7\xe3o")," e seu acionamento \xe9 realizado co clicar no bot\xe3o ",Object(n.b)("strong",{parentName:"p"},"Habilitar solu\xe7\xe3o"),". Com essa op\xe7\xe3o, os c\xe1lculos est\xe1ticos selecionados nas ",Object(n.b)("a",{parentName:"p",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o")," s\xe3o automaticamente realizados ao modificar quaisquer par\xe2metros da rede, como dados el\xe9tricos e acionamento dos disjuntores dos elementos (remo\xe7\xe3o ou inser\xe7\xe3o)."),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Evite construir o circuito com o c\xe1lculo cont\xednuo habilitado, uma vez que configura\xe7\xf5es tempor\xe1rias podem levar a erros de execu\xe7\xe3o da simula\xe7\xe3o."),Object(n.b)("p",{parentName:"div"},"Para desabilitar o c\xe1lculo cont\xednuo clique no bot\xe3o ",Object(n.b)("strong",{parentName:"p"},"Desabilitar solu\xe7\xe3o"),"."))),Object(n.b)("p",null,"Os resultados do fluxo de carga s\xe3o exibidos nos ",Object(n.b)("a",{parentName:"p",href:"text"},"elementos de texto vinculado"),", ao posicionar o mouse sobre os elementos e em ",Object(n.b)("a",{parentName:"p",href:"tabularReport"},"relat\xf3rios tabulares"),"."),Object(n.b)("h3",{id:"erros-comuns-na-execu\xe7\xe3o-do-fluxo-de-carga"},"Erros comuns na execu\xe7\xe3o do fluxo de carga"),Object(n.b)("p",null,"A seguir s\xe3o apresentados os erros mais comuns relacionados ao fluxo de carga."),Object(n.b)("h4",{id:"a-seguinte-mensagem-de-erro-\xe9-exibida-o-n\xfamero-m\xe1ximo-de-itera\xe7\xf5es-foi-alcan\xe7ado"},'A seguinte mensagem de erro \xe9 exibida: "O n\xfamero m\xe1ximo de itera\xe7\xf5es foi alcan\xe7ado"'),Object(n.b)("p",null,"Essa mensagem de erro \xe9 exibida quando o m\xe9todo de solu\xe7\xe3o num\xe9rica selecionado nas ",Object(n.b)("a",{parentName:"p",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o")," atinge o n\xfamero m\xe1ximo de itera\xe7\xf5es inserido. As seguintes situa\xe7\xf5es podem ocasionar esse erro:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Os par\xe2metros do circuito est\xe3o incorretos"),". caso par\xe2metros muito fora dos valores padr\xe3o dos elementos el\xe9tricos sejam inseridos, o c\xe1lculo de fluxo de carga pode divergir. Verifique se os dados foram inseridos corretamente."),Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Algum elemento possui par\xe2metros discrepantes dos demais"),". Caso um dos elementos inseridos possua um valor de imped\xe2ncia muito distinto dos demais, como por exemplo uma linha com imped\xe2ncia muito elevada ou uma carga muito pequena, pode levar \xe0 diverg\xeancia do m\xe9todo num\xe9rico. Nesse caso, reconsidere a necessidade de representa\xe7\xe3o desses elementos no circuito e alterne entre os m\xe9todos num\xe9ricos de solu\xe7\xe3o dispon\xedveis."),Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"O n\xfamero m\xe1ximo de itera\xe7\xf5es est\xe1 muito baixo"),". Alguns circuitos exigem um n\xfamero maior de itera\xe7\xf5es, portanto altere o valor do m\xe1ximo de itera\xe7\xf5es nas ",Object(n.b)("a",{parentName:"li",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o"),". Tamb\xe9m tente alternar entre os m\xe9todos num\xe9ricos de solu\xe7\xe3o dispon\xedveis."),Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Os par\xe2metros de simula\xe7\xe3o est\xe3o inadequados"),". Caso um par\xe2metro do m\xe9todo de solu\xe7\xe3o esteja inadequado, como fator de acelera\xe7\xe3o ou toler\xe2ncia, o c\xe1lculo pode n\xe3o alcan\xe7ar a converg\xeancia. Altere esses par\xe2metros nas ",Object(n.b)("a",{parentName:"li",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o"),".")),Object(n.b)("h4",{id:"os-dados-de-sa\xedda-s\xe3o-exibidos-como-nan-ou-nan"},'Os dados de sa\xedda s\xe3o exibidos como "NaN" ou "nan"'),Object(n.b)("p",null,'Isso ocorre devido a erros de opera\xe7\xf5es matem\xe1ticas nos c\xe1lculos de fluxo de carga. "NaN" significa ',Object(n.b)("em",{parentName:"p"},"Not a Number"),"."),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Algum barramento est\xe1 isolado"),". Esse erro \xe9 bastante comum e pode ocorrer ao inserir um barramento sem conect\xe1-lo ao sistema ou ao remover os elementos de ramo que conectam uma barra ao sistema. A solu\xe7\xe3o \xe9 eliminar essa barra do diagrama."),Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Os par\xe2metros do circuito est\xe3o incorretos"),". caso par\xe2metros muito fora dos valores padr\xe3o dos elementos el\xe9tricos sejam inseridos, o c\xe1lculo de fluxo de carga pode divergir. Verifique se os dados foram inseridos corretamente."),Object(n.b)("li",{parentName:"ul"},Object(n.b)("strong",{parentName:"li"},"Algum elemento possui par\xe2metros discrepantes dos demais"),". Caso um dos elementos inseridos possua um valor de imped\xe2ncia muito distinto dos demais, como por exemplo uma linha com imped\xe2ncia muito elevada ou uma carga muito pequena, pode levar \xe0 diverg\xeancia do m\xe9todo num\xe9rico. Nesse caso, reconsidere a necessidade de representa\xe7\xe3o desses elementos no circuito e alterne entre os m\xe9todos num\xe9ricos de solu\xe7\xe3o dispon\xedveis.")),Object(n.b)("h2",{id:"m\xe9todos-de-solu\xe7\xe3o-num\xe9rica-do-fluxo-de-carga-no-psp-ufu"},"M\xe9todos de solu\xe7\xe3o num\xe9rica do fluxo de carga no PSP-UFU"),Object(n.b)("p",null,"Os m\xe9todos implementados no programa para solu\xe7\xe3o do problema de fluxo de carga no PSP-UFU s\xe3o ",Object(n.b)("strong",{parentName:"p"},"Gauss-Seidel (GS)")," e ",Object(n.b)("strong",{parentName:"p"},"Newton-Raphson (NR)"),". Al\xe9m desses m\xe9todos cl\xe1ssicos, um m\xe9todo h\xedbrido pode ser utilizado (definido nas ",Object(n.b)("a",{parentName:"p",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o"),"), em que \xe9 utilizado inicialmente o GS e na sequ\xeancia o NR, aumentando a chance de converg\xeancia do NR."),Object(n.b)("h3",{id:"gauss-seidel"},"Gauss-Seidel"),Object(n.b)("p",null,"O m\xe9todo de Gauss-Seidel tem sido bastante utilizado nas \xfaltimas d\xe9cadas para solu\xe7\xe3o do problema de fluxo de carga, uma vez que n\xe3o h\xe1 a necessidade de fatorar a matrizes, reduzindo o esfor\xe7o computacional. Atualmente, restri\xe7\xf5es computacionais s\xe3o menos problem\xe1ticas e outros m\xe9todos s\xe3o normalmente escolhidos, por\xe9m o Gauss-Seidel ainda possui valor did\xe1tico e, visto que o PSP-UFU tamb\xe9m possui fins educacionais, optou-se pela implementa\xe7\xe3o desse m\xe9todo."),Object(n.b)("p",null,"Para iniciar as itera\xe7\xf5es do m\xe9todo s\xe3o necess\xe1rios valores iniciais para as tens\xf5es (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msubsup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mn",{parentName:"msubsup"},"0"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_i^0")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.178854em",verticalAlign:"-0.258664em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.441336em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.258664em"}},Object(n.b)("span",{parentName:"span"})))))))))),") que devem ser calculadas. Normalmente para barras do tipo PQ tem-se ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msubsup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mn",{parentName:"msubsup"},"0")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow"},"j"),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mi",{parentName:"mrow"},"p"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_i^0=1{,}0+j0{,}0~p.u.")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.178854em",verticalAlign:"-0.258664em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.441336em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.258664em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"1"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mpunct"},",")),Object(n.b)("span",{parentName:"span",className:"mord"},"0"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.85396em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05724em"}},"j"),Object(n.b)("span",{parentName:"span",className:"mord"},"0"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mpunct"},",")),Object(n.b)("span",{parentName:"span",className:"mord"},"0"),Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(n.b)("span",{parentName:"span",className:"mord"},"."),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(n.b)("span",{parentName:"span",className:"mord"},".")))))," e para barras do tipo PV ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msubsup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mn",{parentName:"msubsup"},"0")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"V"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mi",{parentName:"mrow"},"p"))),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow"},"j"),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(n.b)("mn",{parentName:"mrow"},"0")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_i^0=V_i^{esp}+j0{,}0")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.178854em",verticalAlign:"-0.258664em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.441336em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.258664em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.059164em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7823em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1809080000000005em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.85396em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05724em"}},"j"),Object(n.b)("span",{parentName:"span",className:"mord"},"0"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mpunct"},",")),Object(n.b)("span",{parentName:"span",className:"mord"},"0")))))," ","[p.u.]",", em que ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"V"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mi",{parentName:"mrow"},"p")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_i^{esp}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.059164em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7823em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1809080000000005em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"}))))))))))," \xe9 o m\xf3dulo da tens\xe3o especificada para a barra PV. A barra de refer\xeancia tem o m\xf3dulo e \xe2ngulo de tens\xe3o fixos e n\xe3o participam no processo iterativo."),Object(n.b)("p",null,"O m\xe9todo de Gauss-Seidel mostra um ",Object(n.b)("strong",{parentName:"p"},"n\xfamero excessivo de itera\xe7\xf5es")," e, com o intuito reduzi-los, multiplicam-se as corre\xe7\xf5es de tens\xf5es por uma constante. Essa opera\xe7\xe3o amplia o valor da corre\xe7\xe3o, trazendo a tens\xe3o para mais perto do valor do valor final. Os multiplicadores que realizam essa converg\xeancia melhorada s\xe3o chamados de fatores de acelera\xe7\xe3o. Para qualquer sistema existem valores \xf3timos para os fatores de acelera\xe7\xe3o e uma escolha inadequada pode resultar em uma converg\xeancia mais lenta ou torn\xe1-la imposs\xedvel. Normalmente \xe9 utilizado um fator de acelera\xe7\xe3o igual a 1,6, valor definido como padr\xe3o no programa. A utiliza\xe7\xe3o do fator de acelera\xe7\xe3o \xe9 realizada por meio da equa\xe7\xe3o:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msubsup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("msub",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"msub"},"i"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"A"),Object(n.b)("mi",{parentName:"mrow"},"C"))),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mi",{parentName:"mrow"},"\u03b1"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msubsup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msubsup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("msub",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"msub"},"i"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"A"),Object(n.b)("mi",{parentName:"mrow"},"C"))),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msubsup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("msub",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"msub"},"i"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"A"),Object(n.b)("mi",{parentName:"mrow"},"C"))),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_{i_{AC}}^{(v + 1)} = \\alpha \\left( \\dot{V}_{i}^{(v + 1)}- \\dot{V}_{i_{AC}}^{(v)} \\right) + \\dot{V}_{i_{AC}}^{(v)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.4219689999999998em",verticalAlign:"-0.377169em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3567071428571427em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"A"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"C"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.14329285714285717em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.377169em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.80002em",verticalAlign:"-0.65002em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.0037em"}},"\u03b1"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3567071428571427em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"A"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"C"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.14329285714285717em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.377169em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},")"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.4219689999999998em",verticalAlign:"-0.377169em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3567071428571427em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"A"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"C"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.14329285714285717em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.377169em"}},Object(n.b)("span",{parentName:"span"}))))))))))),Object(n.b)("p",null,"Em que:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msubsup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("msub",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"msub"},"i"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"A"),Object(n.b)("mi",{parentName:"mrow"},"C"))),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_{i_{AC}}^{(v + 1)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.4219689999999998em",verticalAlign:"-0.377169em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3567071428571427em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"A"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"C"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.14329285714285717em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.377169em"}},Object(n.b)("span",{parentName:"span"}))))))))))," \xe9 a tens\xe3o complexa da itera\xe7\xe3o atual com fator de acelera\xe7\xe3o aplicado"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msubsup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_{i}^{(v + 1)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.321664em",verticalAlign:"-0.27686399999999994em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.27686399999999994em"}},Object(n.b)("span",{parentName:"span"}))))))))))," \xe9 a tens\xe3o complexa da itera\xe7\xe3o atual"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mover",{parentName:"msubsup",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"V"),Object(n.b)("mo",{parentName:"mover"},"\u02d9")),Object(n.b)("msub",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"msub"},"i"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"A"),Object(n.b)("mi",{parentName:"mrow"},"C"))),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_{i_{AC}}^{(v)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.4219689999999998em",verticalAlign:"-0.377169em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord accent"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(n.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3567071428571427em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"A"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"C"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.14329285714285717em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.377169em"}},Object(n.b)("span",{parentName:"span"}))))))))))," \xe9 a tens\xe3o complexa da itera\xe7\xe3o anterior com fator de acelera\xe7\xe3o aplicado"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"\u03b1")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\alpha")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.0037em"}},"\u03b1")))))," \xe9 o fator de acelera\xe7\xe3o")),Object(n.b)("p",null,"O fluxograma abaixo demonstra como o m\xe9todo de Gauss-Seidel foi implementado no PSP-UFU:"),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/gaussSeidel.svg"),alt:"M\xe9todo num\xe9rico de Gauss-Seidel para fluxo de carga",title:"M\xe9todo num\xe9rico de Gauss-Seidel para fluxo de carga"}))),Object(n.b)("h3",{id:"newton-raphson"},"Newton-Raphson"),Object(n.b)("p",null,"O m\xe9todo de Newton-Raphson (tamb\xe9m conhecido como m\xe9todo de Newton ou Newton-Fourier) para solu\xe7\xe3o do fluxo de carga \xe9 descrito em v\xe1rios livros e artigos. Atualmente \xe9 o algoritmo mais utilizado para solu\xe7\xe3o do fluxo de carga. Para casos bem condicionados, esse m\xe9todo geralmente converge em 4 a 5 itera\xe7\xf5es, por\xe9m existe a possibilidade da t\xe9cnica contornar o ponto da solu\xe7\xe3o sem nunca atingi-la, o que tamb\xe9m justifica implementa\xe7\xe3o do m\xe9todo de Gauss-Seidel no ",Object(n.b)("em",{parentName:"p"},"software"),"."),Object(n.b)("p",null,"A expans\xe3o da ",Object(n.b)("a",{parentName:"p",href:"https://en.wikipedia.org/wiki/Taylor_series"},"s\xe9rie de Taylor")," para uma fun\xe7\xe3o de duas ou mais vari\xe1veis \xe9 a base do m\xe9todo de Newton-Raphson para resolver o problema do fluxo de carga. Fazendo a expans\xe3o em s\xe9rie de Taylor, para duas equa\xe7\xf5es e duas inc\xf3gnitas (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"f"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",separator:"true"},","),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"f_1\\left( x_{1}, x_{2} \\right)")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.10764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mpunct"},","),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")"))))))," e ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"f"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",separator:"true"},","),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"f_2\\left( x_{1}, x_{2} \\right)")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.10764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mpunct"},","),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")))))),"), sem listar as derivadas parciais maiores que 1 na forma matricial, obt\xeam-se:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"f"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"1"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow",separator:"true"},","),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"2"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"K"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"f"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"1"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow",separator:"true"},","),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"2"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")"))))))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"f"),Object(n.b)("mn",{parentName:"msub"},"1"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"f"),Object(n.b)("mn",{parentName:"msub"},"1"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")))))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"f"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"f"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2"))))))))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"1"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"2"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))))))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{bmatrix} K_1 - f_1\\left( x_{1}^{(0)}, x_{2}^{(0)} \\right)\\\\ K_2 - f_2\\left( x_{1}^{(0)}, x_{2}^{(0)} \\right) \\end{bmatrix} = \\begin{bmatrix} \\displaystyle\\frac{\\partial f_1}{\\partial x_1} & \\displaystyle\\frac{\\partial f_1}{\\partial x_2}\\\\ \\displaystyle\\frac{\\partial f_2}{\\partial x_1} & \\displaystyle\\frac{\\partial f_2}{\\partial x_2} \\end{bmatrix} \\begin{bmatrix} \\Delta x_{1}^{(0)}\\\\ \\Delta x_{2}^{(0)} \\end{bmatrix}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"3.6010299999999997em",verticalAlign:"-1.55002em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"2.0510099999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.2500000000000004em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a3"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.8099900000000004em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.05101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"2.05002em"}},Object(n.b)("span",{parentName:"span",style:{top:"-4.05002em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.10764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mpunct"},","),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},")"))))),Object(n.b)("span",{parentName:"span",style:{top:"-2.25em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.10764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mpunct"},","),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},")")))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"2.0510099999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.2500000000000004em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a6"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.8099900000000004em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.05101em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a4")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"4.41488em",verticalAlign:"-1.95744em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"2.352005em"}},Object(n.b)("span",{parentName:"span",style:{top:"-1.9499950000000004em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a3"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.0999950000000003em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1109850000000003em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.352005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.850025em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"2.45744em"}},Object(n.b)("span",{parentName:"span",style:{top:"-4.45744em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.3714399999999998em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.10764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-2.25em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.3714399999999998em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.10764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.95744em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"2.45744em"}},Object(n.b)("span",{parentName:"span",style:{top:"-4.45744em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.3714399999999998em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.10764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-2.25em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.3714399999999998em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.10764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.95744em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"2.352005em"}},Object(n.b)("span",{parentName:"span",style:{top:"-1.9499950000000004em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a6"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.0999950000000003em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1109850000000003em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.352005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a4")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.850025em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size4"},"[")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6548em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.6548em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.0448em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-2.2499999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.0448em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1548000000000005em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size4"},"]")))))))),Object(n.b)("p",null,"Em que:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"K")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"K")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K")))))," \xe9 o resultado da equa\xe7\xe3o ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"f"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",separator:"true"},","),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"f\\left( x_{1}, x_{2} \\right)")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mpunct"},","),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")"))))))),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"x"),Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x^{(0)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8879999999999999em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8879999999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")")))))))))))))," \xe9 a estimativa iniciais de ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"x")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x")))))),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("mi",{parentName:"mrow"},"x")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta x")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x")))))," \xe9 o valor acrescido de ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msup"},"x"),Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x^{(0)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8879999999999999em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8879999999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")")))))))))))))," que resulta em ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"x")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"))))),", ou seja: ",Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"f"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",separator:"true"},","),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"f"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"1"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1")),Object(n.b)("mo",{parentName:"mrow",separator:"true"},","),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"2"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2")),Object(n.b)("mo",{parentName:"mrow",fence:"true"},")"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"f\\left( x_{1}, x_{2} \\right) = f_1\\left( x_{1}^{(0)} + \\Delta x_1, x_{2}^{(0)} + \\Delta x_2 \\right)")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mpunct"},","),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.80002em",verticalAlign:"-0.65002em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.10764em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},"(")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mpunct"},","),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size2"},")"))))))))),Object(n.b)("p",null,"Essa express\xe3o pode ser resumida em:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"K"),Object(n.b)("mn",{parentName:"msubsup"},"1"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"K"),Object(n.b)("mn",{parentName:"msubsup"},"2"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))))))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msup",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},"J"))))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mrow",{parentName:"msup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"1"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"2"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))))))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{bmatrix} \\Delta K_1^{(0)}\\\\ \\Delta K_2^{(0)} \\end{bmatrix} = \\begin{bmatrix} J \\end{bmatrix}^{(0)} \\begin{bmatrix} \\Delta x_{1}^{(0)}\\\\ \\Delta x_{2}^{(0)} \\end{bmatrix}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"3.0000299999999998em",verticalAlign:"-1.25003em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size4"},"[")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6548em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.6548em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.0448em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-2.2499999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.0448em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1548000000000005em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size4"},"]"))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"3.0000299999999998em",verticalAlign:"-1.25003em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"[")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8500000000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.01em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.09618em"}},"J")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.35000000000000003em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size1"},"]"))),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1279000000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.3029em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size4"},"[")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6548em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.6548em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.0448em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-2.2499999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.0448em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1548000000000005em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size4"},"]")))))))),Object(n.b)("p",null,"Em que ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(n.b)("mi",{parentName:"mrow"},"J"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"]")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"[J]")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(n.b)("span",{parentName:"span",className:"mopen"},"["),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.09618em"}},"J"),Object(n.b)("span",{parentName:"span",className:"mclose"},"]")))))," \xe9 a ",Object(n.b)("strong",{parentName:"p"},"Matriz Jacobiana")),Object(n.b)("p",null,"Com a equa\xe7\xe3o acima \xe9 poss\xedvel calcular os valores de ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"1"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta x_{1}^{(0)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.311108em",verticalAlign:"-0.26630799999999993em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"2"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"0"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta x_{2}^{(0)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.311108em",verticalAlign:"-0.26630799999999993em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"0"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))))))),". Entretanto, esses valores somados \xe0s estimativas iniciais n\xe3o determinam a solu\xe7\xe3o correta, sendo necess\xe1rio repetir o processo de determina\xe7\xe3o das constantes, forma\xe7\xe3o da matriz jacobiana e solu\xe7\xe3o da equa\xe7\xe3o acima, o qual ser\xe1 refeito determinando novas estimativas ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"1"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta x_{1}^{(1)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.311108em",verticalAlign:"-0.26630799999999993em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"x"),Object(n.b)("mn",{parentName:"msubsup"},"2"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta x_{2}^{(1)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.311108em",verticalAlign:"-0.26630799999999993em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.433692em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.26630799999999993em"}},Object(n.b)("span",{parentName:"span"})))))))))),"."),Object(n.b)("p",null,"Esse processo \xe9 repetido at\xe9 que as corre\xe7\xf5es se tornem t\xe3o pequenas que satisfa\xe7am uma precis\xe3o escolhida."),Object(n.b)("p",null,"Para aplicar o m\xe9todo de Newton-Raphson \xe0 solu\xe7\xe3o das equa\xe7\xf5es do fluxo de carga, utiliza-se as equa\xe7\xf5es que representam as pot\xeancias ativa e reativa injetadas em uma barra."),Object(n.b)("p",null,"Assim como no m\xe9todo de Gauss-Seidel, a barra de refer\xeancia \xe9 omitida da solu\xe7\xe3o iterativa para determinar as tens\xf5es, pois a tens\xe3o complexa dessa barra \xe9 especificada. Como \xe9 conhecido o valor da pot\xeancia ativa injetada (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"P"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mi",{parentName:"mrow"},"p")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_i^{esp}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.059164em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7823em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1809080000000005em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"})))))))))),") nas barras do tipo PQ e PV, al\xe9m da pot\xeancia reativa injetada (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"Q"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mi",{parentName:"mrow"},"p")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i^{esp}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.059164em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7823em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1809080000000005em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"})))))))))),") nas barras PQ pode-se definir ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"P"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mi",{parentName:"mrow"},"p")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_i^{esp}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.059164em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7823em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1809080000000005em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"Q"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mi",{parentName:"mrow"},"p")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i^{esp}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.059164em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7823em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.1809080000000005em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"}))))))))))," como os valores de ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"K")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"K")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"K"))))),". Os valores estimados do m\xf3dulo e \xe2ngulo da tens\xe3o correspondem aos valores estimados para ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_1")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_2")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),"."),Object(n.b)("p",null,"O jacobiano consiste nas derivadas parciais de ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," em rela\xe7\xe3o a cada uma das vari\xe1veis das equa\xe7\xf5es inje\xe7\xe3o de pot\xeancia l\xedquida na barra ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"i")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"i"))))),". A matriz coluna formada por ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"1"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta x_{1}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"x"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta x_{2}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))))," corresponde \xe0s corre\xe7\xf5es de \xe2ngulo (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta \\theta_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.84444em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),") e m\xf3dulo (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"i"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta V_i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))))),") das tens\xf5es de barra."),Object(n.b)("p",null,"Com isso pode-se escrever a equa\xe7\xe3o matricial de um sistema de ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"n")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"n")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"n")))))," barras, em que a barra n\xfamero 1 corresponde \xe0 barra de refer\xeancia e as barras de n\xfamero 2 a n s\xe3o barras do tipo PQ:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnalign:"right",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mtext",{parentName:"mrow"},"NPQ"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mtext",{parentName:"mrow"},"NPV"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mtext",{parentName:"mstyle"},"\xa0")))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mtext",{parentName:"mstyle"},"\xa0")))))))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mtext",{parentName:"mstyle"},"\xa0")))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mtext",{parentName:"mrow"},"NPQ"),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mtext",{parentName:"mstyle"},"\xa0")))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mtext",{parentName:"mstyle"},"\xa0"))))))))))),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mn",{parentName:"msub"},"2")))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"n")))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mn",{parentName:"msub"},"2")))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mi",{parentName:"msub"},"n"))))))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mn",{parentName:"msub"},"2"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u2026"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mi",{parentName:"msub"},"n"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mn",{parentName:"msub"},"2"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u2026"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"n")))))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"}))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u22f1"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"}))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"}))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u22f1"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mn",{parentName:"msub"},"2"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u2026"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mi",{parentName:"msub"},"n"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mn",{parentName:"msub"},"2"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u2026"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"P"),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"n")))))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mn",{parentName:"msub"},"2"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u2026"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mi",{parentName:"msub"},"n"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mn",{parentName:"msub"},"2"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u2026"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mn",{parentName:"msub"},"2"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"n")))))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"}))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u22f1"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"}))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"}))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u22f1"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mn",{parentName:"msub"},"2"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u2026"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mi",{parentName:"msub"},"n"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mn",{parentName:"msub"},"2"))))))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u2026"))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(n.b)("mfrac",{parentName:"mstyle"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"Q"),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2202"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"n"))))))))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(n.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mn",{parentName:"msub"},"2")))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"\u03b8"),Object(n.b)("mn",{parentName:"msub"},"2")))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mn",{parentName:"msub"},"2")))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mi",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(n.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(n.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"V"),Object(n.b)("mi",{parentName:"msub"},"n"))))))),Object(n.b)("mo",{parentName:"mrow",fence:"true"},"]"))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{array}{r} \\text{NPQ} + \\text{NPV} \\begin{cases} ~\\\\ ~ \\end{cases}\\\\ ~\\\\ \\text{NPQ} \\begin{cases} ~\\\\ ~ \\end{cases} \\end{array} \\begin{bmatrix} \\Delta P_2\\\\ \\vdots\\\\ \\Delta P_n\\\\ \\Delta Q_2\\\\ \\vdots\\\\ \\Delta Q_n\\\\ \\end{bmatrix} = \\begin{bmatrix} \\displaystyle\\frac{\\partial P_2}{\\partial \\theta_2} & \\dots & \\displaystyle\\frac{\\partial P_2}{\\partial \\theta_n} & \\displaystyle\\frac{\\partial P_2}{\\partial V_2} & \\dots & \\displaystyle\\frac{\\partial P_2}{\\partial V_n}\\\\ \\vdots & \\ddots & \\vdots & \\vdots & \\ddots & \\vdots\\\\ \\displaystyle\\frac{\\partial P_n}{\\partial \\theta_2} & \\dots & \\displaystyle\\frac{\\partial P_n}{\\partial \\theta_n} & \\displaystyle\\frac{\\partial P_n}{\\partial V_2} & \\dots & \\displaystyle\\frac{\\partial P_n}{\\partial V_n}\\\\ \\displaystyle\\frac{\\partial Q_2}{\\partial \\theta_2} & \\dots & \\displaystyle\\frac{\\partial Q_2}{\\partial \\theta_n} & \\displaystyle\\frac{\\partial Q_2}{\\partial V_2} & \\dots & \\displaystyle\\frac{\\partial Q_2}{\\partial V_n}\\\\ \\vdots & \\ddots & \\vdots & \\vdots & \\ddots & \\vdots\\\\ \\displaystyle\\frac{\\partial Q_n}{\\partial \\theta_2} & \\dots & \\displaystyle\\frac{\\partial Q_n}{\\partial \\theta_n} & \\displaystyle\\frac{\\partial Q_n}{\\partial V_2} & \\dots & \\displaystyle\\frac{\\partial Q_n}{\\partial V_n} \\end{bmatrix} \\begin{bmatrix} \\Delta \\theta_2\\\\ \\vdots\\\\ \\Delta \\theta_2\\\\ \\Delta V_2\\\\ \\vdots\\\\ \\Delta V_n\\\\ \\end{bmatrix}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"8.520000000000003em",verticalAlign:"-4.010000000000001em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"col-align-r"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"3.8500299999999994em"}},Object(n.b)("span",{parentName:"span",style:{top:"-5.850029999999999em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.75em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord text"},Object(n.b)("span",{parentName:"span",className:"mord"},"NPQ")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mord text"},Object(n.b)("span",{parentName:"span",className:"mord"},"NPV")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size4"},"{")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-l"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.69em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.69em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.25em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.19em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-3.7599999999999993em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.75em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"))),Object(n.b)("span",{parentName:"span",style:{top:"-1.6499999999999997em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.75em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord text"},Object(n.b)("span",{parentName:"span",className:"mord"},"NPQ")),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(n.b)("span",{parentName:"span",className:"delimsizing size4"},"{")),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-l"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.69em"}},Object(n.b)("span",{parentName:"span",style:{top:"-3.69em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.25em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.19em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"3.3500300000000003em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"4.458970000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"0.1500399999999994em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a3"))),Object(n.b)("span",{parentName:"span",style:{top:"-0.9999600000000006em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-1.5959600000000007em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.191960000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.787960000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.3839600000000005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.9799600000000006em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.57596em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-5.17196em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-5.217950000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-6.458970000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"3.9500599999999997em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"4.510000000000002em"}},Object(n.b)("span",{parentName:"span",style:{top:"-7.357500000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-5.497500000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"-4.297500000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.0975000000000006em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-1.2375000000000005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"-0.03749999999999937em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"4.010000000000001em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"4.458970000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"0.1500399999999994em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a6"))),Object(n.b)("span",{parentName:"span",style:{top:"-0.9999600000000006em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-1.5959600000000007em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.191960000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.787960000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.3839600000000005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.9799600000000006em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.57596em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-5.17196em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-5.217950000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-6.458970000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a4")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"3.9500599999999997em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"12.61603em",verticalAlign:"-6.050095em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.5659350000000005em"}},Object(n.b)("span",{parentName:"span",style:{top:"2.2500749999999994em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a3"))),Object(n.b)("span",{parentName:"span",style:{top:"1.1000749999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"0.5040749999999994em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-0.0919250000000007em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-0.6879250000000008em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-1.2839250000000009em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-1.879925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.475925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.071925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.6679250000000008em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.263925em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.8599250000000005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-5.455925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-6.051925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-6.647925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-7.243925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-7.324915000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-8.565935000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.050095em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.52488em"}},Object(n.b)("span",{parentName:"span",style:{top:"-8.84094em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-6.5049399999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"-4.773499999999999em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-2.5660599999999993em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-0.23005999999999965em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"1.5013799999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.02488em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.52488em"}},Object(n.b)("span",{parentName:"span",style:{top:"-8.65344em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u2026"))),Object(n.b)("span",{parentName:"span",style:{top:"-6.3174399999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u22f1"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.585999999999999em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u2026"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.3785599999999993em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u2026"))),Object(n.b)("span",{parentName:"span",style:{top:"-0.042559999999999654em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u22f1"))),Object(n.b)("span",{parentName:"span",style:{top:"1.6888799999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u2026")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.02488em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.52488em"}},Object(n.b)("span",{parentName:"span",style:{top:"-8.84094em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-6.5049399999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"-4.773499999999999em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-2.5660599999999993em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-0.23005999999999965em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"1.5013799999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.02488em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.52488em"}},Object(n.b)("span",{parentName:"span",style:{top:"-8.84094em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-6.5049399999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"-4.773499999999999em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-2.5660599999999993em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-0.23005999999999965em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"1.5013799999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.02488em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.52488em"}},Object(n.b)("span",{parentName:"span",style:{top:"-8.65344em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u2026"))),Object(n.b)("span",{parentName:"span",style:{top:"-6.3174399999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u22f1"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.585999999999999em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u2026"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.3785599999999993em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u2026"))),Object(n.b)("span",{parentName:"span",style:{top:"-0.042559999999999654em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u22f1"))),Object(n.b)("span",{parentName:"span",style:{top:"1.6888799999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"minner"},"\u2026")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.02488em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.52488em"}},Object(n.b)("span",{parentName:"span",style:{top:"-8.84094em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-6.5049399999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"-4.773499999999999em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-2.5660599999999993em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(n.b)("span",{parentName:"span",style:{top:"-0.23005999999999965em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"1.5013799999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(n.b)("span",{parentName:"span",className:"mfrac"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3714399999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(n.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord",style:{marginRight:"0.05556em"}},"\u2202"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.02488em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.5659350000000005em"}},Object(n.b)("span",{parentName:"span",style:{top:"2.2500749999999994em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a6"))),Object(n.b)("span",{parentName:"span",style:{top:"1.1000749999999995em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"0.5040749999999994em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-0.0919250000000007em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-0.6879250000000008em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-1.2839250000000009em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-1.879925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.475925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.071925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.6679250000000008em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.263925em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.8599250000000005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-5.455925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-6.051925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-6.647925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-7.243925000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-7.324915000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-8.565935000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a4")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"6.050095em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(n.b)("span",{parentName:"span",className:"minner"},Object(n.b)("span",{parentName:"span",className:"mopen"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"4.458970000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"0.1500399999999994em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a3"))),Object(n.b)("span",{parentName:"span",style:{top:"-0.9999600000000006em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-1.5959600000000007em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.191960000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.787960000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.3839600000000005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.9799600000000006em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.57596em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-5.17196em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-5.217950000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a2"))),Object(n.b)("span",{parentName:"span",style:{top:"-6.458970000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a1")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"3.9500599999999997em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mtable"},Object(n.b)("span",{parentName:"span",className:"col-align-c"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"4.510000000000002em"}},Object(n.b)("span",{parentName:"span",style:{top:"-7.357500000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-5.497500000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"-4.297500000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-3.0975000000000006em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",{parentName:"span",style:{top:"-1.2375000000000005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(n.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(n.b)("span",{parentName:"span",style:{top:"-0.03749999999999937em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"4.010000000000001em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mclose"},Object(n.b)("span",{parentName:"span",className:"delimsizing mult"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"4.458970000000001em"}},Object(n.b)("span",{parentName:"span",style:{top:"0.1500399999999994em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a6"))),Object(n.b)("span",{parentName:"span",style:{top:"-0.9999600000000006em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-1.5959600000000007em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.191960000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-2.787960000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.3839600000000005em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.9799600000000006em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-4.57596em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-5.17196em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-5.217950000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a5"))),Object(n.b)("span",{parentName:"span",style:{top:"-6.458970000000001em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(n.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(n.b)("span",{parentName:"span"},"\u23a4")))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"3.9500599999999997em"}},Object(n.b)("span",{parentName:"span"})))))))))))),Object(n.b)("p",null,"Em que:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mtext",{parentName:"mrow"},"NPQ")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\text{NPQ}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord text"},Object(n.b)("span",{parentName:"span",className:"mord"},"NPQ"))))))," \xe9 o n\xfamero de barras PQ"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",{parentName:"li",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mtext",{parentName:"mrow"},"NPV")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\text{NPV}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord text"},Object(n.b)("span",{parentName:"span",className:"mord"},"NPV"))))))," \xe9 o n\xfamero de barras PV")),Object(n.b)("p",null,"O processo iterativo se inicia calculando as pot\xeancias ativas (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"P"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"c"),Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mi",{parentName:"mrow"},"l"),Object(n.b)("mi",{parentName:"mrow"},"c")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_i^{calc}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.107772em",verticalAlign:"-0.258664em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.441336em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.258664em"}},Object(n.b)("span",{parentName:"span"})))))))))),") para as barras PQ e PV e as pot\xeancias reativas (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"Q"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"c"),Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mi",{parentName:"mrow"},"l"),Object(n.b)("mi",{parentName:"mrow"},"c")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i^{calc}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.107772em",verticalAlign:"-0.258664em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.441336em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.258664em"}},Object(n.b)("span",{parentName:"span"})))))))))),") para as barras PQ, ambas as equa\xe7\xf5es utilizando as estimativas iniciais das tens\xf5es complexas. Calcula-se, ent\xe3o, as corre\xe7\xf5es de pot\xeancia (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("mi",{parentName:"mrow"},"P")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta P")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P")))))," e ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("mi",{parentName:"mrow"},"Q")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta Q")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"))))),"):"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("mi",{parentName:"mrow"},"P"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"P"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mi",{parentName:"mrow"},"p"))),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"P"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"c"),Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mi",{parentName:"mrow"},"l"),Object(n.b)("mi",{parentName:"mrow"},"c"))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("mi",{parentName:"mrow"},"Q"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"Q"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"s"),Object(n.b)("mi",{parentName:"mrow"},"p"))),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"Q"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"c"),Object(n.b)("mi",{parentName:"mrow"},"a"),Object(n.b)("mi",{parentName:"mrow"},"l"),Object(n.b)("mi",{parentName:"mrow"},"c")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta P = P_i^{esp} - P_i^{calc}\\\\ \\Delta Q = Q_i^{esp} - Q_i^{calc}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.059164em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7822999999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.180908em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.146108em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8991079999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.059164em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7822999999999999em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.180908em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.146108em",verticalAlign:"-0.247em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8991079999999998em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(n.b)("span",{parentName:"span"}))))))))))),Object(n.b)("p",null,"O passo seguinte \xe9 a forma\xe7\xe3o da matriz jacobiana. Com isso \xe9 poss\xedvel calcular as corre\xe7\xf5es de m\xf3dulo e \xe2ngulo das tens\xf5es de todas as barras (com exce\xe7\xe3o da barra de refer\xeancia). Para tanto, no PSP-UFU utiliza-se o m\xe9todo de ",Object(n.b)("a",{parentName:"p",href:"https://en.wikipedia.org/wiki/Gaussian_elimination"},"Elimina\xe7\xe3o Gaussiana")," e em sequ\xeancia a substitui\xe7\xe3o regressiva. Esse procedimento diminui o esfor\xe7o computacional, uma vez que a invers\xe3o da matriz jacobiana em todas as itera\xe7\xf5es \xe9 evitada."),Object(n.b)("p",null,"Com as corre\xe7\xf5es de m\xf3dulo e \xe2ngulo das tens\xf5es das barras calculados, aplicam-se as seguintes equa\xe7\xf5es:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",{parentName:"div",className:"katex-display"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"\u03b8"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"\u03b8"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"\u03b8"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"V"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mn",{parentName:"mrow"},"1"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"V"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(n.b)("mo",{parentName:"mrow"},"+"),Object(n.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"V"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(n.b)("mi",{parentName:"mrow"},"v"),Object(n.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\theta_i^{(v+1)}=\\theta_i^{(v)}+\\Delta \\theta_i^{(v)}\\\\ V_i^{(v+1)}=V_i^{(v)}+\\Delta V_i^{(v)}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.321664em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.321664em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.321664em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"\u03b8"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",{parentName:"span",className:"mspace newline"}),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.321664em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(n.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(n.b)("span",{parentName:"span",className:"mrel"},"="),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.321664em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(n.b)("span",{parentName:"span",className:"mbin"},"+"),Object(n.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.321664em",verticalAlign:"-0.276864em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(n.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(n.b)("span",{parentName:"span"}))))))))))),Object(n.b)("p",null,"O processo \xe9 ent\xe3o reiniciado e ser\xe1 repetido at\xe9 que se obtenha a converg\xeancia, quando as corre\xe7\xf5es se tornam t\xe3o pequenas que satisfa\xe7am uma toler\xe2ncia pr\xe9-estipulada."),Object(n.b)("p",null,"O fluxograma abaixo mostra o m\xe9todo de Newton-Raphson para solu\xe7\xe3o do fluxo de carga implementado."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(p.a)("images/newtonRaphson.svg"),alt:"M\xe9todo num\xe9rico de Newton-Raphson para fluxo de carga",title:"M\xe9todo num\xe9rico de Newton-Raphson para fluxo de carga"}))),Object(n.b)("h2",{id:"controles-e-limites-em-um-problema-de-fluxo-de-carga"},"Controles e limites em um problema de fluxo de carga"),Object(n.b)("p",null,"Nas barras de ",Object(n.b)("a",{parentName:"p",href:"syncGenerator"},"gera\xe7\xe3o")," e tamb\xe9m naquelas em que se encontra um ",Object(n.b)("a",{parentName:"p",href:"syncMotor"},"compensador s\xedncrono")," conectado, o controle da magnitude da tens\xe3o no barramento \xe9 realizado por meio do ajuste da corrente de campo das m\xe1quinas s\xedncronas, as quais podem operar sobrexcitadas (injetando reativos) ou subexcitadas (absorvendo reativos). Os valores limites de pot\xeancia reativa que podem ser injetadas ou absorvidas dependem da m\xe1quina s\xedncrona em estudo. Esses limites s\xe3o inclu\xeddos no fluxo de carga com a cria\xe7\xe3o de dois novos par\xe2metros, a pot\xeancia reativa m\xe1xima (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"Q"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"m"),Object(n.b)("mover",{parentName:"mrow",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"a"),Object(n.b)("mo",{parentName:"mover"},"\u02ca")),Object(n.b)("mi",{parentName:"mrow"},"x")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i^{m\xe1x}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.107772em",verticalAlign:"-0.258664em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.441336em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m"),Object(n.b)("span",{parentName:"span",className:"mord accent mtight"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.69444em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.7em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a")),Object(n.b)("span",{parentName:"span",style:{top:"-2.7em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.25em"}},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u02ca"))))))),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"x"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.258664em"}},Object(n.b)("span",{parentName:"span"})))))))))),") e pot\xeancia reativa m\xednima (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"Q"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"m"),Object(n.b)("mi",{parentName:"mrow"},"i"),Object(n.b)("mi",{parentName:"mrow"},"n")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i^{min}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.0833279999999998em",verticalAlign:"-0.258664em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.824664em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.441336em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.258664em"}},Object(n.b)("span",{parentName:"span"})))))))))),"), sendo esses valores a soma dos limites individuais das m\xe1quinas em uma mesma barra gen\xe9rica ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"i")),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"i"))))),"."),Object(n.b)("p",null,"A manuten\xe7\xe3o da pot\xeancia reativa dentro dos limites \xe9 realizada pela troca do tipo de barra, ou seja, as barras violadoras que controlam a tens\xe3o (PV), passam a ser barras de carga (PQ), cuja pot\xeancia \xe9 fixada como o limite que seria ultrapassado (",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"Q"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"m"),Object(n.b)("mover",{parentName:"mrow",accent:"true"},Object(n.b)("mi",{parentName:"mover"},"a"),Object(n.b)("mo",{parentName:"mover"},"\u02ca")),Object(n.b)("mi",{parentName:"mrow"},"x")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i^{m\xe1x}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.107772em",verticalAlign:"-0.258664em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.441336em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m"),Object(n.b)("span",{parentName:"span",className:"mord accent mtight"},Object(n.b)("span",{parentName:"span",className:"vlist-t"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.69444em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.7em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a")),Object(n.b)("span",{parentName:"span",style:{top:"-2.7em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.25em"}},Object(n.b)("span",{parentName:"span",className:"mord mtight"},"\u02ca"))))))),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"x"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.258664em"}},Object(n.b)("span",{parentName:"span"}))))))))))," ou ",Object(n.b)("span",{parentName:"p",className:"math math-inline"},Object(n.b)("span",{parentName:"span",className:"katex"},Object(n.b)("span",{parentName:"span",className:"katex-mathml"},Object(n.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msubsup",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msubsup"},"Q"),Object(n.b)("mi",{parentName:"msubsup"},"i"),Object(n.b)("mrow",{parentName:"msubsup"},Object(n.b)("mi",{parentName:"mrow"},"m"),Object(n.b)("mi",{parentName:"mrow"},"i"),Object(n.b)("mi",{parentName:"mrow"},"n")))),Object(n.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_i^{min}")))),Object(n.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(n.b)("span",{parentName:"span",className:"base"},Object(n.b)("span",{parentName:"span",className:"strut",style:{height:"1.0833279999999998em",verticalAlign:"-0.258664em"}}),Object(n.b)("span",{parentName:"span",className:"mord"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(n.b)("span",{parentName:"span",className:"msupsub"},Object(n.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.824664em"}},Object(n.b)("span",{parentName:"span",style:{top:"-2.441336em",marginLeft:"0em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(n.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(n.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(n.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(n.b)("span",{parentName:"span",className:"mord mtight"},Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(n.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"))))),Object(n.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(n.b)("span",{parentName:"span",className:"vlist-r"},Object(n.b)("span",{parentName:"span",className:"vlist",style:{height:"0.258664em"}},Object(n.b)("span",{parentName:"span"})))))))))),") e a tens\xe3o deixa de ser controlada partir de ent\xe3o."),Object(n.b)("p",null,"A verifica\xe7\xe3o de viola\xe7\xe3o e troca de tipo de barra pode ser realizada a cada itera\xe7\xe3o ou ao final da converg\xeancia do c\xe1lculo. No PSP-UFU foi implementada a \xfaltima estrat\xe9gia, uma vez que separa os conceitos de c\xe1lculo e de verifica\xe7\xe3o de limites, tornando mais f\xe1cil o desenvolvimento de novos m\xe9todos num\xe9ricos e limites. Nessa abordagem, ao ajustar o sistema para a nova situa\xe7\xe3o n\xe3o violadora o c\xe1lculo iterativo deve ser retomado at\xe9 que obtenha novamente a converg\xeancia."),Object(n.b)("h2",{id:"refer\xeancias"},"Refer\xeancias"),Object(n.b)("ol",null,Object(n.b)("li",{parentName:"ol"},"MONTICELLI, A. J. Fluxo de Carga em Redes de Energia El\xe9trica. S\xe3o Paulo: Edgar Bl\xfccher, 1983."),Object(n.b)("li",{parentName:"ol"},"STEVENSON JR.; WILLIAN, D. Elementos de An\xe1lise de Sistemas de Pot\xeancia. 2\xaa ed. S\xe3o Paulo: McGraw-Hill, 1986."),Object(n.b)("li",{parentName:"ol"},"MILANO, F. Power System Modelling and Scripting. London: Springer, 2010. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1007/978-3-642-13669-6"},"https://doi.org/10.1007/978-3-642-13669-6")),Object(n.b)("li",{parentName:"ol"},"ARRILLAGA, J.; WATSON, N. R. Computer Modelling of Electrical Power Systems. Wiley & Sons, New York, 2001. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1002/9781118878286"},"https://doi.org/10.1002/9781118878286")),Object(n.b)("li",{parentName:"ol"},"TINNEY, W. F.; HART, C. E. Power Flow Solution by Newton\u2019s Method. IEEE Transaction on Power Apparatus and Systems, v. PAS-86, n. 11, nov. 1967. doi: ",Object(n.b)("a",{parentName:"li",href:"https://doi.org/10.1109/TPAS.1967.291823"},"https://doi.org/10.1109/TPAS.1967.291823"))))}N.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/154b882b.fe4ed47d.js b/docs/assets/js/154b882b.fe4ed47d.js
new file mode 100644
index 0000000..d540ebc
--- /dev/null
+++ b/docs/assets/js/154b882b.fe4ed47d.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[9],{140:function(a,e,t){"use strict";t.d(e,"a",(function(){return N})),t.d(e,"b",(function(){return j}));var s=t(0),n=t.n(s);function m(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function p(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(a);e&&(s=s.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,s)}return t}function r(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?p(Object(t),!0).forEach((function(e){m(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):p(Object(t)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(t,e))}))}return a}function b(a,e){if(null==a)return{};var t,s,n=function(a,e){if(null==a)return{};var t,s,n={},m=Object.keys(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||(n[t]=a[t]);return n}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(n[t]=a[t])}return n}var c=n.a.createContext({}),l=function(a){var e=n.a.useContext(c),t=e;return a&&(t="function"==typeof a?a(e):r(r({},e),a)),t},N=function(a){var e=l(a.components);return n.a.createElement(c.Provider,{value:e},a.children)},i={inlineCode:"code",wrapper:function(a){var e=a.children;return n.a.createElement(n.a.Fragment,{},e)}},O=n.a.forwardRef((function(a,e){var t=a.components,s=a.mdxType,m=a.originalType,p=a.parentName,c=b(a,["components","mdxType","originalType","parentName"]),N=l(t),O=s,j=N["".concat(p,".").concat(O)]||N[O]||i[O]||m;return t?n.a.createElement(j,r(r({ref:e},c),{},{components:t})):n.a.createElement(j,r({ref:e},c))}));function j(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var m=t.length,p=new Array(m);p[0]=O;var r={};for(var b in e)hasOwnProperty.call(e,b)&&(r[b]=e[b]);r.originalType=a,r.mdxType="string"==typeof a?a:s,p[1]=r;for(var c=2;c<m;c++)p[c]=t[c];return n.a.createElement.apply(null,p)}return n.a.createElement.apply(null,t)}O.displayName="MDXCreateElement"},141:function(a,e,t){"use strict";t.d(e,"b",(function(){return m})),t.d(e,"a",(function(){return p}));var s=t(16),n=t(142);function m(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(s.default)();return{withBaseUrl:(t,s)=>function(a,e,t,{forcePrependBaseUrl:s=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(s)return e+t;const p=t.startsWith(e)?t:e+t.replace(/^\//,"");return m?a+p:p}(e,a,t,s)}}function p(a,e={}){const{withBaseUrl:t}=m();return t(a,e)}},142:function(a,e,t){"use strict";function s(a){return!0===/^(\w*:|\/\/)/.test(a)}function n(a){return void 0!==a&&!s(a)}t.d(e,"b",(function(){return s})),t.d(e,"a",(function(){return n}))},78:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return r})),t.d(e,"metadata",(function(){return b})),t.d(e,"toc",(function(){return c})),t.d(e,"default",(function(){return N}));var s=t(3),n=t(7),m=(t(0),t(140)),p=t(141),r={id:"rateLimiter",title:"Limitador de taxa",sidebar_label:"Limitador de taxa"},b={unversionedId:"rateLimiter",id:"rateLimiter",isDocsHomePage:!1,title:"Limitador de taxa",description:"Os blocos de limite de taxa t\xeam como objetivo conter a taxa de crescimento ou decrescimento da sua entrada a valores inseridos pelo usu\xe1rio. A taxa de varia\xe7\xe3o \xe9 calculada a partir dos valores de entrada atual e passado e, caso seja violada, ser\xe1 definida uma sa\xedda que respeite essas taxas (de crescimento ou decrescimento).",source:"@site/docs/rateLimiter.md",slug:"/rateLimiter",permalink:"/PSP/docs/rateLimiter",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/rateLimiter.md",version:"current",sidebar_label:"Limitador de taxa",sidebar:"docs",previous:{title:"Limitador absoluto",permalink:"/PSP/docs/limiter"},next:{title:"Constante",permalink:"/PSP/docs/const"}},c=[{value:"Formul\xe1rio de edi\xe7\xe3o de dados do Limitador de taxa",id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-limitador-de-taxa",children:[]}],l={toc:c};function N(a){var e=a.components,t=Object(n.a)(a,["components"]);return Object(m.b)("wrapper",Object(s.a)({},l,t,{components:e,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("p",null,"Os blocos de limite de taxa t\xeam como objetivo conter a taxa de crescimento ou decrescimento da sua entrada a valores inseridos pelo usu\xe1rio. A taxa de varia\xe7\xe3o \xe9 calculada a partir dos valores de entrada atual e passado e, caso seja violada, ser\xe1 definida uma sa\xedda que respeite essas taxas (de crescimento ou decrescimento)."),Object(m.b)("p",null,"A taxa (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"r")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"r")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"))))),") \xe9 calculada de acordo com a equa\xe7\xe3o:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1")))),Object(m.b)("mi",{parentName:"mfrac"},"h"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"r = \\frac{u_n - y_{n-1}}{h}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.9463300000000001em",verticalAlign:"-0.686em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.26033em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"u_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\t\xe9 a entrada atual do bloco"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_{n-1}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.638891em",verticalAlign:"-0.208331em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\t\xe9 o valor de sa\xedda anterior do bloco"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"h")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"h")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.69444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"))))),"\t\xe9 o passo de integra\xe7\xe3o")),Object(m.b)("p",null,"Obtida a taxa, o bloco ir\xe1 resultar em um valor calculado pelas seguintes condi\xe7\xf5es:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mrow"},"h"),Object(m.b)("mo",{parentName:"mrow"},"\xd7"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"R"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"c"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"e"))),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},",")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"se\xa0"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mo",{parentName:"mrow"},">"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"R"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"c"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"e"))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},",")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"se\xa0"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"R"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"c"))),Object(m.b)("mo",{parentName:"mrow"},"\u2264"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mo",{parentName:"mrow"},"\u2264"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"R"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"c"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"e"))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mrow"},"h"),Object(m.b)("mo",{parentName:"mrow"},"\xd7"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"R"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"c"))),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},",")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"se\xa0"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mo",{parentName:"mrow"},"<"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"R"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"c"))))))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{cases} h \\times R_{cre}{,} & \\text{se } r > R_{cre} \\\\ u_n{,} & \\text{se } R_{dec} \\le r \\le R_{cre}\\\\ h \\times R_{dec}{,} & \\text{se } r < R_{dec} \\end{cases}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"4.32em",verticalAlign:"-1.9099999999999997em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.35002em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.19999em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a9"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.19499em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.20499em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.15001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a8"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.2950099999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.30501em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.60002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a7")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.8500199999999998em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-l"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.41em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.41em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\xd7"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.00773em"}},"R"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")))),Object(m.b)("span",{parentName:"span",style:{top:"-2.97em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")))),Object(m.b)("span",{parentName:"span",style:{top:"-1.5300000000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\xd7"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.00773em"}},"R"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},","))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.9099999999999997em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"1em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-l"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.41em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.41em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"se\xa0")),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},">"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.00773em"}},"R"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.97em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"se\xa0")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.00773em"}},"R"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2264"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2264"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.00773em"}},"R"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-1.5300000000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"se\xa0")),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"<"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.00773em"}},"R"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.9099999999999997em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"R"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"c"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"e")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"R_{cre}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.00773em"}},"R"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e ",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"R"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"c")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"R_{dec}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.00773em"}},"R"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\ts\xe3o as taxas de crescimento e decaimento, respectivamente")),Object(m.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-limitador-de-taxa"},"Formul\xe1rio de edi\xe7\xe3o de dados do Limitador de taxa"),Object(m.b)("p",null,"A figura abaixo apresenta o formul\xe1rio de edi\xe7\xe3o de dados do bloco limitador de taxa."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/rateLimitForm.png"),alt:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco limitador de taxa no PSP-UFU",title:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco limitador de taxa no PSP-UFU"}))),Object(m.b)("p",null,"Esse bloco \xe9 definido pelo ",Object(m.b)("strong",{parentName:"p"},"limite superior (taxa de crescimento m\xe1xima) e inferior (taxa de decrescimento m\xe1xima)"),", inseridos pelo usu\xe1rio."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Esses blocos s\xe3o \xfateis para limitar varia\xe7\xf5es bruscas na entrada que possam comprometer o controle ou limites f\xedsicos de modelos de turbina, por exemplo."))))}N.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/16c40e2a.4b003cb0.js b/docs/assets/js/16c40e2a.4b003cb0.js
new file mode 100644
index 0000000..d6c6f42
--- /dev/null
+++ b/docs/assets/js/16c40e2a.4b003cb0.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[10],{140:function(a,e,t){"use strict";t.d(e,"a",(function(){return l})),t.d(e,"b",(function(){return d}));var n=t(0),s=t.n(n);function m(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function r(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);e&&(n=n.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,n)}return t}function p(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?r(Object(t),!0).forEach((function(e){m(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):r(Object(t)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(t,e))}))}return a}function c(a,e){if(null==a)return{};var t,n,s=function(a,e){if(null==a)return{};var t,n,s={},m=Object.keys(a);for(n=0;n<m.length;n++)t=m[n],e.indexOf(t)>=0||(s[t]=a[t]);return s}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(n=0;n<m.length;n++)t=m[n],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(s[t]=a[t])}return s}var b=s.a.createContext({}),i=function(a){var e=s.a.useContext(b),t=e;return a&&(t="function"==typeof a?a(e):p(p({},e),a)),t},l=function(a){var e=i(a.components);return s.a.createElement(b.Provider,{value:e},a.children)},o={inlineCode:"code",wrapper:function(a){var e=a.children;return s.a.createElement(s.a.Fragment,{},e)}},N=s.a.forwardRef((function(a,e){var t=a.components,n=a.mdxType,m=a.originalType,r=a.parentName,b=c(a,["components","mdxType","originalType","parentName"]),l=i(t),N=n,d=l["".concat(r,".").concat(N)]||l[N]||o[N]||m;return t?s.a.createElement(d,p(p({ref:e},b),{},{components:t})):s.a.createElement(d,p({ref:e},b))}));function d(a,e){var t=arguments,n=e&&e.mdxType;if("string"==typeof a||n){var m=t.length,r=new Array(m);r[0]=N;var p={};for(var c in e)hasOwnProperty.call(e,c)&&(p[c]=e[c]);p.originalType=a,p.mdxType="string"==typeof a?a:n,r[1]=p;for(var b=2;b<m;b++)r[b]=t[b];return s.a.createElement.apply(null,r)}return s.a.createElement.apply(null,t)}N.displayName="MDXCreateElement"},141:function(a,e,t){"use strict";t.d(e,"b",(function(){return m})),t.d(e,"a",(function(){return r}));var n=t(16),s=t(142);function m(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(n.default)();return{withBaseUrl:(t,n)=>function(a,e,t,{forcePrependBaseUrl:n=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(s.b)(t))return t;if(n)return e+t;const r=t.startsWith(e)?t:e+t.replace(/^\//,"");return m?a+r:r}(e,a,t,n)}}function r(a,e={}){const{withBaseUrl:t}=m();return t(a,e)}},142:function(a,e,t){"use strict";function n(a){return!0===/^(\w*:|\/\/)/.test(a)}function s(a){return void 0!==a&&!n(a)}t.d(e,"b",(function(){return n})),t.d(e,"a",(function(){return s}))},143:function(a,e,t){"use strict";function n(a){var e,t,s="";if("string"==typeof a||"number"==typeof a)s+=a;else if("object"==typeof a)if(Array.isArray(a))for(e=0;e<a.length;e++)a[e]&&(t=n(a[e]))&&(s&&(s+=" "),s+=t);else for(e in a)a[e]&&(s&&(s+=" "),s+=e);return s}e.a=function(){for(var a,e,t=0,s="";t<arguments.length;)(a=arguments[t++])&&(e=n(a))&&(s&&(s+=" "),s+=e);return s}},144:function(a,e,t){"use strict";var n=t(0),s=t(145);e.a=function(){const a=Object(n.useContext)(s.a);if(null==a)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return a}},145:function(a,e,t){"use strict";var n=t(0);const s=Object(n.createContext)(void 0);e.a=s},146:function(a,e,t){"use strict";var n=t(0),s=t.n(n),m=t(144),r=t(143),p=t(56),c=t.n(p);const b=37,i=39;e.a=function(a){const{lazy:e,block:t,defaultValue:p,values:l,groupId:o,className:N}=a,{tabGroupChoices:d,setTabGroupChoices:O}=Object(m.a)(),[h,j]=Object(n.useState)(p),u=n.Children.toArray(a.children),g=[];if(null!=o){const a=d[o];null!=a&&a!==h&&l.some((e=>e.value===a))&&j(a)}const v=a=>{const e=a.target,t=g.indexOf(e),n=u[t].props.value;j(n),null!=o&&(O(o,n),setTimeout((()=>{(function(a){const{top:e,left:t,bottom:n,right:s}=a.getBoundingClientRect(),{innerHeight:m,innerWidth:r}=window;return e>=0&&s<=r&&n<=m&&t>=0})(e)||(e.scrollIntoView({block:"center",behavior:"smooth"}),e.classList.add(c.a.tabItemActive),setTimeout((()=>e.classList.remove(c.a.tabItemActive)),2e3))}),150))},w=a=>{var e;let t;switch(a.keyCode){case i:const e=g.indexOf(a.target)+1;t=g[e]||g[0];break;case b:const n=g.indexOf(a.target)-1;t=g[n]||g[g.length-1]}null===(e=t)||void 0===e||e.focus()};return s.a.createElement("div",{className:"tabs-container"},s.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(r.a)("tabs",{"tabs--block":t},N)},l.map((({value:a,label:e})=>s.a.createElement("li",{role:"tab",tabIndex:h===a?0:-1,"aria-selected":h===a,className:Object(r.a)("tabs__item",c.a.tabItem,{"tabs__item--active":h===a}),key:a,ref:a=>g.push(a),onKeyDown:w,onFocus:v,onClick:v},e)))),e?Object(n.cloneElement)(u.filter((a=>a.props.value===h))[0],{className:"margin-vert--md"}):s.a.createElement("div",{className:"margin-vert--md"},u.map(((a,e)=>Object(n.cloneElement)(a,{key:e,hidden:a.props.value!==h})))))}},147:function(a,e,t){"use strict";var n=t(0),s=t.n(n);e.a=function({children:a,hidden:e,className:t}){return s.a.createElement("div",{role:"tabpanel",hidden:e,className:t},a)}},79:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return b})),t.d(e,"metadata",(function(){return i})),t.d(e,"toc",(function(){return l})),t.d(e,"default",(function(){return N}));var n=t(3),s=t(7),m=(t(0),t(140)),r=t(141),p=t(146),c=t(147),b={id:"line",title:"Linha",sidebar_label:"Linha"},i={unversionedId:"line",id:"line",isDocsHomePage:!1,title:"Linha",description:"Um meio de transmiss\xe3o fabricado usado para transmitir energia eletromagn\xe9tica entre dois pontos com um m\xednimo de radia\xe7\xe3o. [tradu\xe7\xe3o livre - IEC 60050](",source:"@site/docs/line.md",slug:"/line",permalink:"/PSP/docs/line",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/line.md",version:"current",sidebar_label:"Linha",sidebar:"docs",previous:{title:"Barramento",permalink:"/PSP/docs/bus"},next:{title:"Transformador",permalink:"/PSP/docs/transformer"}},l=[{value:"Linha no PSP-UFU",id:"linha-no-psp-ufu",children:[]},{value:"Formul\xe1rio de edi\xe7\xe3o das linhas",id:"formul\xe1rio-de-edi\xe7\xe3o-das-linhas",children:[]}],o={toc:l};function N(a){var e=a.components,t=Object(s.a)(a,["components"]);return Object(m.b)("wrapper",Object(n.a)({},o,t,{components:e,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(r.a)("katex/katex.min.css")}),Object(m.b)("blockquote",null,Object(m.b)("p",{parentName:"blockquote"},"Um meio de transmiss\xe3o fabricado usado para transmitir energia eletromagn\xe9tica entre dois pontos com um m\xednimo de radia\xe7\xe3o. ",Object(m.b)("a",{parentName:"p",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=704-02-02"},Object(m.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),".")),Object(m.b)("h2",{id:"linha-no-psp-ufu"},"Linha no PSP-UFU"),Object(m.b)("p",null,"As linhas no PSP-UFU s\xe3o modelos ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03c0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\pi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c0")))))," equilibradas. Podem ser utilizadas como linhas de transmiss\xe3o e distribui\xe7\xe3o de sistemas el\xe9tricos de pot\xeancia."),Object(m.b)("p",null,"A figura abaixo mostra o modelo ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03c0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\pi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c0")))))," implementado no PSP-UFU:"),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(r.a)("images/lineModel.svg"),alt:"Modelo PI da linha",title:"Modelo PI da linha"}))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub",mathvariant:"bold"},"r"),Object(m.b)("mi",{parentName:"msub",mathvariant:"bold"},"L"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\bold{r_L}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.59444em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"r"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33027699999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathbf mtight"},"L")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))),"\t\xe9 a resist\xeancia da linha;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub",mathvariant:"bold"},"x"),Object(m.b)("mi",{parentName:"msub",mathvariant:"bold"},"L"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\bold{x_L}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.59444em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33027699999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathbf mtight"},"L")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))),"\t\xe9 a reat\xe2ncia indutiva da linha;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup",mathvariant:"bold"},"b"),Object(m.b)("mi",{parentName:"msubsup",mathvariant:"bold"},"L"),Object(m.b)("mi",{parentName:"msubsup",mathvariant:"bold"},"d"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\bold{b_{L}^{d}}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.126385em",verticalAlign:"-0.277277em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4227230000000004em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathbf mtight"},"L")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathbf mtight"},"d"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.277277em"}},Object(m.b)("span",{parentName:"span"}))))))))))),"\t\xe9 a suscept\xe2ncia capacitiva ",Object(m.b)("em",{parentName:"li"},"shunt")," da linha.")),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"O modelo utilizado no PSP-UFU \xe9 ",Object(m.b)("strong",{parentName:"p"},"equilibrado")," e ",Object(m.b)("strong",{parentName:"p"},"n\xe3o possui imped\xe2ncias m\xfatuas")," entre as fases."))),Object(m.b)("p",null,'A linha pode ser inseridas com pontos de ancoragem, ou "n\xf3s", para maior personaliza\xe7\xe3o gr\xe1fica do elemento, como apresentado nas ',Object(m.b)("a",{parentName:"p",href:"cadTools#linha"},"Ferramentas CAD"),"."),Object(m.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"A linha deve ser inserida entre duas barras de ",Object(m.b)("strong",{parentName:"p"},"mesma tens\xe3o nominal"),". Caso voc\xea tente inseri-la entre barras de tens\xe3o diferentes, uma mensagem de erro ser\xe1 exibida."))),Object(m.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Um arranjo s\xe9rie de uma ",Object(m.b)("a",{parentName:"p",href:"line"},"linha")," sem as suscept\xe2ncias ",Object(m.b)("em",{parentName:"p"},"shunt"),", um ",Object(m.b)("a",{parentName:"p",href:"bus"},"barramento")," e um ",Object(m.b)("a",{parentName:"p",href:"capacitor"},"capacitor")," pode ser utilizado para fabricar um filtro passivo nos ",Object(m.b)("a",{parentName:"p",href:"harmonics"},"estudos harm\xf4nicos"),". Em vers\xf5es futuras, um elemento de filtro passivo ser\xe1 implementado no PSP-UFU."))),Object(m.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-das-linhas"},"Formul\xe1rio de edi\xe7\xe3o das linhas"),Object(m.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de inser\xe7\xe3o/altera\xe7\xe3o de dados das linhas de transmiss\xe3o:"),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(r.a)("images/lineForm.png"),alt:"Formul\xe1rio das linhas no PSP-UFU",title:"Formul\xe1rio das linhas no PSP-UFU"}))),Object(m.b)("p",null,"Esse formul\xe1rio \xe9 subdividido em dois contextos distintos:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Geral"),": no qual s\xe3o inseridas informa\xe7\xf5es gerais da linha e informa\xe7\xf5es do fluxo de carga;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Falta"),": local onde as imped\xe2ncias de sequ\xeancia zero s\xe3o inseridas.")),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Os par\xe2metros necess\xe1rios para constru\xe7\xe3o da linha segundo seu modelo ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03c0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\pi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c0")))))," s\xe3o inseridos na aba Geral, utilizados para constru\xe7\xe3o da matriz admit\xe2ncia de sequ\xeancia positiva e negativa."),Object(m.b)("p",{parentName:"div"},"Dados adicionais de imped\xe2ncias de sequ\xeancia zero necess\xe1rio para o c\xe1lculo de curtos-circuitos desbalanceados s\xe3o editados na aba Falta, utilizados na constru\xe7\xe3o da matriz admit\xe2ncia de sequ\xeancia zero."))),Object(m.b)("p",null,'Al\xe9m desses dois contextos, pode ser observado o bot\xe3o "Estabilidade" na parte inferior esquerda do formul\xe1rio. Esse formul\xe1rio, comum a v\xe1rios outros elementos, permite a inser\xe7\xe3o e/ou remo\xe7\xe3o da linha durante o estudo de ',Object(m.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(r.a)("images/lineSw.png"),alt:"Formul\xe1rio de chaveamento da linha",title:"Formul\xe1rio de chaveamento da linha"}))),Object(m.b)(p.a,{groupId:"line-tabs",defaultValue:"general",values:[{label:"Geral",value:"general"},{label:"Falta",value:"fault"},{label:"Bot\xe3o Estabilidade",value:"stability"}],mdxType:"Tabs"},Object(m.b)(c.a,{value:"general",mdxType:"TabItem"},Object(m.b)("h4",{id:"nome"},"Nome"),Object(m.b)("p",null,"Identifica\xe7\xe3o do elemento el\xe9trico. Podem ser inseridos quaisquer n\xfameros de caracteres no padr\xe3o ",Object(m.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Unicode"},"Unicode"),"."),Object(m.b)("p",null,"Todos os componentes de pot\xeancia do PSP-UFU possuem esse campo."),Object(m.b)("h4",{id:"tens\xe3o-nominal"},"Tens\xe3o nominal"),Object(m.b)("p",null,"Campo de informa\xe7\xe3o ",Object(m.b)("em",{parentName:"p"},"n\xe3o edit\xe1vel")," que apresenta a tens\xe3o nominal da linha. Para alterar esse campo \xe9 necess\xe1rio editar o campo correspondente do ",Object(m.b)("a",{parentName:"p",href:"bus#geral"},"barramento")," conectado."),Object(m.b)("h4",{id:"pot\xeancia-nominal"},"Pot\xeancia nominal"),Object(m.b)("p",null,"Pot\xeancia nominal da linha, inserida em MVA, kVA ou VA."),Object(m.b)("p",null,'Esse campo \xe9 especialmente importante caso a op\xe7\xe3o "Utilizar a pot\xeancia nominal como base" esteja marcada.'),Object(m.b)("h4",{id:"par\xe2metros-do-modelo-pi"},"Par\xe2metros do modelo ",Object(m.b)("span",{parentName:"h4",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03c0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\pi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c0")))))),Object(m.b)("p",null,"Resist\xeancia (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"r"),Object(m.b)("mi",{parentName:"msub"},"L"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"r_L")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"), Reat\xe2ncia indutiva (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"L"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_L")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),") s\xe9rie e Suscept\xe2ncia capacitiva shunt ",Object(m.b)("strong",{parentName:"p"},"total")," (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"2"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"b"),Object(m.b)("mi",{parentName:"msubsup"},"L"),Object(m.b)("mi",{parentName:"msubsup"},"d"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2b_{L}^{d}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.124439em",verticalAlign:"-0.275331em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"2"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.424669em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.275331em"}},Object(m.b)("span",{parentName:"span"})))))))))),") presentes no modelo ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03c0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\pi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c0")))))," da linha."),Object(m.b)("p",null,"Esses par\xe2metros s\xe3o inseridos em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},"."))))),", ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u03a9")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Omega")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u03a9")))))," ou ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u03a9"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"/"),Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mi",{parentName:"mrow"},"m")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Omega/km")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u03a9"),Object(m.b)("span",{parentName:"span",className:"mord"},"/"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"m")))))," (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"S")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"S")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"S")))))," ou ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"S"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"/"),Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mi",{parentName:"mrow"},"m")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"S/km")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"S"),Object(m.b)("span",{parentName:"span",className:"mord"},"/"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"m")))))," para ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"b"),Object(m.b)("mi",{parentName:"msubsup"},"L"),Object(m.b)("mi",{parentName:"msubsup"},"d"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"b_{L}^{d}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.124439em",verticalAlign:"-0.275331em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.424669em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.275331em"}},Object(m.b)("span",{parentName:"span"})))))))))),")."),Object(m.b)("h4",{id:"comprimento-da-linha"},"Comprimento da linha"),Object(m.b)("p",null,"Utilizado para calcular o valor dos par\xe2metros da linha inseridos em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u03a9"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"/"),Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mi",{parentName:"mrow"},"m")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Omega/km")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u03a9"),Object(m.b)("span",{parentName:"span",className:"mord"},"/"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"m")))))," (ou ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"S"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"/"),Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mi",{parentName:"mrow"},"m")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"S/km")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"S"),Object(m.b)("span",{parentName:"span",className:"mord"},"/"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"m"))))),")."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"O comprimento da linha \xe9 ignorado caso n\xe3o sejam utilizadas as unidades por quilometro."))),Object(m.b)("h4",{id:"utilizar-pot\xeancia-nominal-como-base"},"Utilizar pot\xeancia nominal como base"),Object(m.b)("p",null,"Caso essa op\xe7\xe3o seja marcada, o programa ir\xe1 utilizar a pot\xeancia nominal da linha como base para a convers\xe3o das unidades, caso contr\xe1rio ser\xe1 usada a ",Object(m.b)("a",{parentName:"p",href:"simulationConfig"},"pot\xeancia base do sistema"),".")),Object(m.b)(c.a,{value:"fault",mdxType:"TabItem"},Object(m.b)("h4",{id:"par\xe2metros-do-modelo-pi-de-sequ\xeancia-zero"},"Par\xe2metros do modelo ",Object(m.b)("span",{parentName:"h4",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03c0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\pi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c0")))))," de sequ\xeancia zero"),Object(m.b)("p",null,"Esses par\xe2metros s\xe3o necess\xe1rios para o correto c\xe1lculo das correntes de ",Object(m.b)("a",{parentName:"p",href:"fault"},"falta desbalanceadas")," (fase-fase, fase-fase-terra e fase-terra) e devem ser inseridos em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))),Object(m.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"A n\xe3o inser\xe7\xe3o desses dados acarretar\xe3o em resultados incorretos para ",Object(m.b)("a",{parentName:"p",href:"fault"},"faltas desbalanceadas"),".")))),Object(m.b)(c.a,{value:"stability",mdxType:"TabItem"},Object(m.b)("p",null,'O bot\xe3o "Estabilidade" ir\xe1 abrir um formul\xe1rio, comum a v\xe1rios outros elementos, que permite a inser\xe7\xe3o e/ou remo\xe7\xe3o da linha durante o estudo de ',Object(m.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(m.b)("p",null,'Nesse formul\xe1rio pode ser criada uma lista gen\xe9rica de inser\xe7\xf5es e remo\xe7\xf5es da linha no tempo, personalizada por um contexto de propriedades de chaveamento que s\xe3o editados o tipo de chaveamento (inser\xe7\xe3o ou remo\xe7\xe3o) e o instante (em segundos) do evento. Essas propriedades s\xe3o atribu\xeddas e retiradas da lista gen\xe9rica por meio dos bot\xf5es "Adicionar" e "Remover", respectivamente.'))))}N.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/17896441.c66c4a53.js b/docs/assets/js/17896441.c66c4a53.js
new file mode 100644
index 0000000..54ad5a9
--- /dev/null
+++ b/docs/assets/js/17896441.c66c4a53.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[11],{135:function(e,t,a){"use strict";a.r(t);var n=a(0),l=a.n(n),s=a(150),i=a(149);var r=function(e){const{metadata:t}=e;return l.a.createElement("nav",{className:"pagination-nav","aria-label":Object(i.b)({id:"theme.docs.paginator.navAriaLabel",message:"Docs pages navigation",description:"The ARIA label for the docs pagination"})},l.a.createElement("div",{className:"pagination-nav__item"},t.previous&&l.a.createElement(s.a,{className:"pagination-nav__link",to:t.previous.permalink},l.a.createElement("div",{className:"pagination-nav__sublabel"},l.a.createElement(i.a,{id:"theme.docs.paginator.previous",description:"The label used to navigate to the previous doc"},"Previous")),l.a.createElement("div",{className:"pagination-nav__label"},"\xab ",t.previous.title))),l.a.createElement("div",{className:"pagination-nav__item pagination-nav__item--next"},t.next&&l.a.createElement(s.a,{className:"pagination-nav__link",to:t.next.permalink},l.a.createElement("div",{className:"pagination-nav__sublabel"},l.a.createElement(i.a,{id:"theme.docs.paginator.next",description:"The label used to navigate to the next doc"},"Next")),l.a.createElement("div",{className:"pagination-nav__label"},t.next.title," \xbb"))))},o=a(16),c=a(151),d=a(148);function m({siteTitle:e,versionLabel:t}){return l.a.createElement(i.a,{id:"theme.docs.versions.unreleasedVersionLabel",description:"The label used to tell the user that he's browsing an unreleased doc version",values:{siteTitle:e,versionLabel:l.a.createElement("strong",null,t)}},"This is unreleased documentation for {siteTitle} {versionLabel} version.")}function u({siteTitle:e,versionLabel:t}){return l.a.createElement(i.a,{id:"theme.docs.versions.unmaintainedVersionLabel",description:"The label used to tell the user that he's browsing an unmaintained doc version",values:{siteTitle:e,versionLabel:l.a.createElement("strong",null,t)}},"This is documentation for {siteTitle} {versionLabel}, which is no longer actively maintained.")}function v({versionLabel:e,to:t,onClick:a}){return l.a.createElement(i.a,{id:"theme.docs.versions.latestVersionSuggestionLabel",description:"The label userd to tell the user that he's browsing an unmaintained doc version",values:{versionLabel:e,latestVersionLink:l.a.createElement("strong",null,l.a.createElement(s.a,{to:t,onClick:a},l.a.createElement(i.a,{id:"theme.docs.versions.latestVersionLinkLabel",description:"The label used for the latest version suggestion link label"},"latest version")))}},"For up-to-date documentation, see the {latestVersionLink} ({versionLabel}).")}var p=function(){const{siteConfig:{title:e}}=Object(o.default)(),{pluginId:t}=Object(c.useActivePlugin)({failfast:!0}),{savePreferredVersionName:a}=Object(d.useDocsPreferredVersion)(t),n=Object(c.useActiveVersion)(t),{latestDocSuggestion:s,latestVersionSuggestion:i}=Object(c.useDocVersionSuggestions)(t);if(!i)return l.a.createElement(l.a.Fragment,null);const r=null!=s?s:(p=i).docs.find((e=>e.id===p.mainDocId));var p;return l.a.createElement("div",{className:"alert alert--warning margin-bottom--md",role:"alert"},l.a.createElement("div",null,"current"===n.name?l.a.createElement(m,{siteTitle:e,versionLabel:n.label}):l.a.createElement(u,{siteTitle:e,versionLabel:n.label})),l.a.createElement("div",{className:"margin-top--md"},l.a.createElement(v,{versionLabel:i.label,to:r.path,onClick:()=>a(i.name)})))},b=a(161),g=a(80),E=a.n(g);function h({lastUpdatedAt:e,formattedLastUpdatedAt:t}){return l.a.createElement(i.a,{id:"theme.lastUpdated.atDate",description:"The words used to describe on which date a page has been last updated",values:{date:l.a.createElement("time",{dateTime:new Date(1e3*e).toISOString(),className:E.a.lastUpdatedDate},t)}}," on {date}")}function f({lastUpdatedBy:e}){return l.a.createElement(i.a,{id:"theme.lastUpdated.byUser",description:"The words used to describe by who the page has been last updated",values:{user:l.a.createElement("strong",null,e)}}," by {user}")}function L({lastUpdatedAt:e,formattedLastUpdatedAt:t,lastUpdatedBy:a}){return l.a.createElement("div",{className:"col text--right"},l.a.createElement("em",null,l.a.createElement("small",null,l.a.createElement(i.a,{id:"theme.lastUpdated.lastUpdatedAtBy",description:"The sentence used to display when a page has been last updated, and by who",values:{atDate:e&&t?l.a.createElement(h,{lastUpdatedAt:e,formattedLastUpdatedAt:t}):"",byUser:a?l.a.createElement(f,{lastUpdatedBy:a}):""}},"Last updated{atDate}{byUser}"),!1)))}var N=a(168),_=a(169),U=a(143),w=a(81),T=a.n(w);t.default=function(e){const{content:t}=e,{metadata:a,frontMatter:{image:n,keywords:s,hide_title:i,hide_table_of_contents:o}}=t,{description:d,title:m,editUrl:u,lastUpdatedAt:v,formattedLastUpdatedAt:g,lastUpdatedBy:E}=a,{pluginId:h}=Object(c.useActivePlugin)({failfast:!0}),f=Object(c.useVersions)(h),w=Object(c.useActiveVersion)(h),y=f.length>1;return l.a.createElement(l.a.Fragment,null,l.a.createElement(b.a,{title:m,description:d,keywords:s,image:n}),l.a.createElement("div",{className:"row"},l.a.createElement("div",{className:Object(U.a)("col",{[T.a.docItemCol]:!o})},l.a.createElement(p,null),l.a.createElement("div",{className:T.a.docItemContainer},l.a.createElement("article",null,y&&l.a.createElement("div",null,l.a.createElement("span",{className:"badge badge--secondary"},"Version: ",w.label)),!i&&l.a.createElement("header",null,l.a.createElement("h1",{className:T.a.docTitle},m)),l.a.createElement("div",{className:"markdown"},l.a.createElement(t,null))),(u||v||E)&&l.a.createElement("div",{className:"margin-vert--xl"},l.a.createElement("div",{className:"row"},l.a.createElement("div",{className:"col"},u&&l.a.createElement(_.a,{editUrl:u})),(v||E)&&l.a.createElement(L,{lastUpdatedAt:v,formattedLastUpdatedAt:g,lastUpdatedBy:E}))),l.a.createElement("div",{className:"margin-vert--lg"},l.a.createElement(r,{metadata:a})))),!o&&t.toc&&l.a.createElement("div",{className:"col col--3"},l.a.createElement(N.a,{toc:t.toc}))))}},168:function(e,t,a){"use strict";var n=a(0),l=a.n(n),s=a(143);var i=function(e,t,a){const[l,s]=Object(n.useState)(void 0);Object(n.useEffect)((()=>{function n(){const n=function(){const e=Array.from(document.getElementsByClassName("anchor")),t=e.find((e=>{const{top:t}=e.getBoundingClientRect();return t>=a}));if(t){if(t.getBoundingClientRect().top>=a){const a=e[e.indexOf(t)-1];return null!=a?a:t}return t}return e[e.length-1]}();if(n){let a=0,i=!1;const r=document.getElementsByClassName(e);for(;a<r.length&&!i;){const e=r[a],{href:o}=e,c=decodeURIComponent(o.substring(o.indexOf("#")+1));n.id===c&&(l&&l.classList.remove(t),e.classList.add(t),s(e),i=!0),a+=1}}}return document.addEventListener("scroll",n),document.addEventListener("resize",n),n(),()=>{document.removeEventListener("scroll",n),document.removeEventListener("resize",n)}}))},r=a(58),o=a.n(r);const c="table-of-contents__link";function d({toc:e,isChild:t}){return e.length?l.a.createElement("ul",{className:t?"":"table-of-contents table-of-contents__left-border"},e.map((e=>l.a.createElement("li",{key:e.id},l.a.createElement("a",{href:`#${e.id}`,className:c,dangerouslySetInnerHTML:{__html:e.value}}),l.a.createElement(d,{isChild:!0,toc:e.children}))))):null}t.a=function({toc:e}){return i(c,"table-of-contents__link--active",100),l.a.createElement("div",{className:Object(s.a)(o.a.tableOfContents,"thin-scrollbar")},l.a.createElement(d,{toc:e}))}},169:function(e,t,a){"use strict";a.d(t,"a",(function(){return m}));var n=a(0),l=a.n(n),s=a(149),i=a(3),r=a(143),o=a(59),c=a.n(o);var d=({className:e,...t})=>l.a.createElement("svg",Object(i.a)({fill:"currentColor",height:"1.2em",width:"1.2em",preserveAspectRatio:"xMidYMid meet",role:"img",viewBox:"0 0 40 40",className:Object(r.a)(c.a.iconEdit,e),"aria-label":"Edit page"},t),l.a.createElement("g",null,l.a.createElement("path",{d:"m34.5 11.7l-3 3.1-6.3-6.3 3.1-3q0.5-0.5 1.2-0.5t1.1 0.5l3.9 3.9q0.5 0.4 0.5 1.1t-0.5 1.2z m-29.5 17.1l18.4-18.5 6.3 6.3-18.4 18.4h-6.3v-6.2z"})));function m({editUrl:e}){return l.a.createElement("a",{href:e,target:"_blank",rel:"noreferrer noopener"},l.a.createElement(d,null),l.a.createElement(s.a,{id:"theme.common.editThisPage",description:"The link label to edit the current page"},"Edit this page"))}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/2.6b1d437b.js b/docs/assets/js/2.6b1d437b.js
new file mode 100644
index 0000000..9efa287
--- /dev/null
+++ b/docs/assets/js/2.6b1d437b.js
@@ -0,0 +1,2 @@
+/*! For license information please see 2.6b1d437b.js.LICENSE.txt */
+(window.webpackJsonp=window.webpackJsonp||[]).push([[2],{144:function(e,t,a){"use strict";var n=a(0),r=a(145);t.a=function(){const e=Object(n.useContext)(r.a);if(null==e)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return e}},145:function(e,t,a){"use strict";var n=a(0);const r=Object(n.createContext)(void 0);t.a=r},152:function(e,t,a){"use strict";var n=a(0),r=a.n(n),c=a(143),o=a(149),l=a(23),s=a(64),i=a.n(s);function u(e){e.setAttribute("tabindex","-1"),e.focus(),e.removeAttribute("tabindex")}var d=function(){const e=Object(n.useRef)(null),t=Object(l.useLocation)();return Object(n.useEffect)((()=>{t.hash||u(e.current)}),[t.pathname]),r.a.createElement("div",{ref:e},r.a.createElement("a",{href:"#main",className:i.a.skipToContent,onClick:e=>{e.preventDefault();const t=document.querySelector("main:first-of-type")||document.querySelector(".main-wrapper");t&&u(t)}},r.a.createElement(o.a,{id:"theme.common.skipToMainContent",description:"The skip to content label used for accessibility, allowing to rapidly navigate to main content with keyboard tab/enter navigation"},"Skip to main content")))},m=a(148),f=a(144),h=a(65),b=a.n(h);var v=function(){const{isAnnouncementBarClosed:e,closeAnnouncementBar:t}=Object(f.a)(),{announcementBar:a}=Object(m.useThemeConfig)();if(!a)return null;const{content:n,backgroundColor:l,textColor:s,isCloseable:i}=a;return!n||i&&e?null:r.a.createElement("div",{className:b.a.announcementBar,style:{backgroundColor:l,color:s},role:"banner"},r.a.createElement("div",{className:Object(c.a)(b.a.announcementBarContent,{[b.a.announcementBarCloseable]:i}),dangerouslySetInnerHTML:{__html:n}}),i?r.a.createElement("button",{type:"button",className:b.a.announcementBarClose,onClick:t,"aria-label":Object(o.b)({id:"theme.AnnouncementBar.closeButtonAriaLabel",message:"Close",description:"The ARIA label for close button of announcement bar"})},r.a.createElement("span",{"aria-hidden":"true"},"\xd7")):null)},p=a(3),g=a(26),E=a(16),O=a(141),k=a(150),y=a(25),j=a(174);function C(){return r.a.createElement("svg",{width:"15",height:"15",className:"DocSearch-Control-Key-Icon"},r.a.createElement("path",{d:"M4.505 4.496h2M5.505 5.496v5M8.216 4.496l.055 5.993M10 7.5c.333.333.5.667.5 1v2M12.326 4.5v5.996M8.384 4.496c1.674 0 2.116 0 2.116 1.5s-.442 1.5-2.116 1.5M3.205 9.303c-.09.448-.277 1.21-1.241 1.203C1 10.5.5 9.513.5 8V7c0-1.57.5-2.5 1.464-2.494.964.006 1.134.598 1.24 1.342M12.553 10.5h1.953",strokeWidth:"1.2",stroke:"currentColor",fill:"none",strokeLinecap:"square"}))}var w=a(175);function _(){return(_=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var a=arguments[t];for(var n in a)Object.prototype.hasOwnProperty.call(a,n)&&(e[n]=a[n])}return e}).apply(this,arguments)}function N(e,t){return function(e){if(Array.isArray(e))return e}(e)||function(e,t){if("undefined"==typeof Symbol||!(Symbol.iterator in Object(e)))return;var a=[],n=!0,r=!1,c=void 0;try{for(var o,l=e[Symbol.iterator]();!(n=(o=l.next()).done)&&(a.push(o.value),!t||a.length!==t);n=!0);}catch(s){r=!0,c=s}finally{try{n||null==l.return||l.return()}finally{if(r)throw c}}return a}(e,t)||function(e,t){if(!e)return;if("string"==typeof e)return S(e,t);var a=Object.prototype.toString.call(e).slice(8,-1);"Object"===a&&e.constructor&&(a=e.constructor.name);if("Map"===a||"Set"===a)return Array.from(e);if("Arguments"===a||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(a))return S(e,t)}(e,t)||function(){throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}()}function S(e,t){(null==t||t>e.length)&&(t=e.length);for(var a=0,n=new Array(t);a<t;a++)n[a]=e[a];return n}function L(e,t){if(null==e)return{};var a,n,r=function(e,t){if(null==e)return{};var a,n,r={},c=Object.keys(e);for(n=0;n<c.length;n++)a=c[n],t.indexOf(a)>=0||(r[a]=e[a]);return r}(e,t);if(Object.getOwnPropertySymbols){var c=Object.getOwnPropertySymbols(e);for(n=0;n<c.length;n++)a=c[n],t.indexOf(a)>=0||Object.prototype.propertyIsEnumerable.call(e,a)&&(r[a]=e[a])}return r}var T="Ctrl";var D=r.a.forwardRef((function(e,t){var a=e.translations,c=void 0===a?{}:a,o=L(e,["translations"]),l=c.buttonText,s=void 0===l?"Search":l,i=c.buttonAriaLabel,u=void 0===i?"Search":i,d=N(Object(n.useState)(null),2),m=d[0],f=d[1];return Object(n.useEffect)((function(){"undefined"!=typeof navigator&&f(/(Mac|iPhone|iPod|iPad)/i.test(navigator.platform)?"\u2318":T)}),[]),r.a.createElement("button",_({type:"button",className:"DocSearch DocSearch-Button","aria-label":u},o,{ref:t}),r.a.createElement("span",{className:"DocSearch-Button-Container"},r.a.createElement(w.a,null),r.a.createElement("span",{className:"DocSearch-Button-Placeholder"},s)),null!==m&&r.a.createElement("span",{className:"DocSearch-Button-Keys"},r.a.createElement("span",{className:"DocSearch-Button-Key"},m===T?r.a.createElement(C,null):m),r.a.createElement("span",{className:"DocSearch-Button-Key"},"K")))})),A=a(151);function P(){const{locale:e,tags:t}=function(){const{i18n:e}=Object(E.default)(),t=Object(A.useAllDocsData)(),a=Object(A.useActivePluginAndVersion)(),n=Object(m.useDocsPreferredVersionByPluginId)(),r=[m.DEFAULT_SEARCH_TAG,...Object.keys(t).map((function(e){var r,c;const o=(null==a||null===(r=a.activePlugin)||void 0===r?void 0:r.pluginId)===e?a.activeVersion:void 0,l=n[e],s=t[e].versions.find((e=>e.isLast)),i=null!==(c=null!=o?o:l)&&void 0!==c?c:s;return Object(m.docVersionSearchTag)(e,i.name)}))];return{locale:e.currentLocale,tags:r}}();return[`language:${e}`,t.map((e=>`docusaurus_tag:${e}`))]}let I=null;function x({hit:e,children:t}){return r.a.createElement(k.a,{to:e.url},t)}function B({state:e,onClose:t}){const{generateSearchPageLink:a}=Object(j.a)();return r.a.createElement(k.a,{to:a(e.query),onClick:t},"See all ",e.context.nbHits," results")}function M({contextualSearch:e,...t}){var c,s;const{siteMetadata:i}=Object(E.default)(),u=P(),d=null!==(c=null===(s=t.searchParameters)||void 0===s?void 0:s.facetFilters)&&void 0!==c?c:[],m=e?[...u,...d]:d,f={...t.searchParameters,facetFilters:m},{withBaseUrl:h}=Object(O.b)(),b=Object(l.useHistory)(),v=Object(n.useRef)(null),k=Object(n.useRef)(null),[j,C]=Object(n.useState)(!1),[w,_]=Object(n.useState)(null),N=Object(n.useCallback)((()=>I?Promise.resolve():Promise.all([a.e(65).then(a.bind(null,226)),Promise.all([a.e(0),a.e(66)]).then(a.bind(null,225)),a.e(0).then(a.t.bind(null,139,7))]).then((([{DocSearchModal:e}])=>{I=e}))),[]),S=Object(n.useCallback)((()=>{N().then((()=>{v.current=document.createElement("div"),document.body.insertBefore(v.current,document.body.firstChild),C(!0)}))}),[N,C]),L=Object(n.useCallback)((()=>{C(!1),v.current.remove()}),[C]),T=Object(n.useCallback)((e=>{N().then((()=>{C(!0),_(e.key)}))}),[N,C,_]),A=Object(n.useRef)({navigate({itemUrl:e}){b.push(e)}}).current,M=Object(n.useRef)((e=>e.map((e=>{const t=document.createElement("a");return t.href=e.url,{...e,url:h(`${t.pathname}${t.hash}`)}})))).current,V=Object(n.useMemo)((()=>e=>r.a.createElement(B,Object(p.a)({},e,{onClose:L}))),[L]),R=Object(n.useCallback)((e=>(e.addAlgoliaAgent("docusaurus",i.docusaurusVersion),e)),[i.docusaurusVersion]);!function(e){var t=e.isOpen,a=e.onOpen,n=e.onClose,c=e.onInput,o=e.searchButtonRef;r.a.useEffect((function(){function e(e){(27===e.keyCode&&t||"k"===e.key&&(e.metaKey||e.ctrlKey)||!function(e){var t=e.target,a=t.tagName;return t.isContentEditable||"INPUT"===a||"SELECT"===a||"TEXTAREA"===a}(e)&&"/"===e.key&&!t)&&(e.preventDefault(),t?n():document.body.classList.contains("DocSearch--active")||document.body.classList.contains("DocSearch--active")||a()),o&&o.current===document.activeElement&&c&&/[a-zA-Z0-9]/.test(String.fromCharCode(e.keyCode))&&c(e)}return window.addEventListener("keydown",e),function(){window.removeEventListener("keydown",e)}}),[t,a,n,c,o])}({isOpen:j,onOpen:S,onClose:L,onInput:T,searchButtonRef:k});const U=Object(o.b)({id:"theme.SearchBar.label",message:"Search",description:"The ARIA label and placeholder for search button"});return r.a.createElement(r.a.Fragment,null,r.a.createElement(y.a,null,r.a.createElement("link",{rel:"preconnect",href:`https://${t.appId}-dsn.algolia.net`,crossOrigin:"anonymous"})),r.a.createElement(D,{onTouchStart:N,onFocus:N,onMouseOver:N,onClick:S,ref:k,translations:{buttonText:U,buttonAriaLabel:U}}),j&&Object(g.createPortal)(r.a.createElement(I,Object(p.a)({onClose:L,initialScrollY:window.scrollY,initialQuery:w,navigator:A,transformItems:M,hitComponent:x,resultsFooterComponent:V,transformSearchClient:R},t,{searchParameters:f})),v.current))}var V=function(){const{siteConfig:e}=Object(E.default)();return r.a.createElement(M,e.themeConfig.algolia)},R=a(201),U=a.n(R),F=a(66),$=a.n(F);const H=({icon:e,style:t})=>r.a.createElement("span",{className:Object(c.a)($.a.toggle,$.a.dark),style:t},e),X=({icon:e,style:t})=>r.a.createElement("span",{className:Object(c.a)($.a.toggle,$.a.light),style:t},e);var K=function(e){const{colorMode:{switchConfig:{darkIcon:t,darkIconStyle:a,lightIcon:n,lightIconStyle:c}}}=Object(m.useThemeConfig)(),{isClient:o}=Object(E.default)();return r.a.createElement(U.a,Object(p.a)({disabled:!o,icons:{checked:r.a.createElement(H,{icon:t,style:a}),unchecked:r.a.createElement(X,{icon:n,style:c})}},e))},z=a(157),q=a(177);var G=e=>{const t=Object(l.useLocation)(),[a,r]=Object(n.useState)(e),c=Object(n.useRef)(!1),[o,s]=Object(n.useState)(0),[i,u]=Object(n.useState)(0),d=Object(n.useCallback)((e=>{null!==e&&u(e.getBoundingClientRect().height)}),[]);return Object(q.a)((({scrollY:t})=>{if(!e)return;if(t<i)return void r(!0);if(c.current)return c.current=!1,r(!1),void s(t);o&&0===t&&r(!0);const a=document.documentElement.scrollHeight-i,n=window.innerHeight;o&&t>=o?r(!1):t+n<a&&r(!0),s(t)}),[o,i,c]),Object(n.useEffect)((()=>{e&&o&&r(!0)}),[t.pathname]),Object(n.useEffect)((()=>{e&&t.hash&&(c.current=!0)}),[t.hash]),{navbarRef:d,isNavbarVisible:a}},Y=a(178),W=a(179),Q=a(154);var J=({width:e=20,height:t=20,...a})=>r.a.createElement("svg",Object(p.a)({xmlns:"http://www.w3.org/2000/svg",viewBox:"0 0 20 20",width:e,height:t},a),r.a.createElement("path",{fill:"currentColor",d:"M19.753 10.909c-.624-1.707-2.366-2.726-4.661-2.726-.09 0-.176.002-.262.006l-.016-2.063 3.525-.607c.115-.019.133-.119.109-.231-.023-.111-.167-.883-.188-.976-.027-.131-.102-.127-.207-.109-.104.018-3.25.461-3.25.461l-.013-2.078c-.001-.125-.069-.158-.194-.156l-1.025.016c-.105.002-.164.049-.162.148l.033 2.307s-3.061.527-3.144.543c-.084.014-.17.053-.151.143.019.09.19 1.094.208 1.172.018.08.072.129.188.107l2.924-.504.035 2.018c-1.077.281-1.801.824-2.256 1.303-.768.807-1.207 1.887-1.207 2.963 0 1.586.971 2.529 2.328 2.695 3.162.387 5.119-3.06 5.769-4.715 1.097 1.506.256 4.354-2.094 5.98-.043.029-.098.129-.033.207l.619.756c.08.096.206.059.256.023 2.51-1.73 3.661-4.515 2.869-6.683zm-7.386 3.188c-.966-.121-.944-.914-.944-1.453 0-.773.327-1.58.876-2.156a3.21 3.21 0 011.229-.799l.082 4.277a2.773 2.773 0 01-1.243.131zm2.427-.553l.046-4.109c.084-.004.166-.01.252-.01.773 0 1.494.145 1.885.361.391.217-1.023 2.713-2.183 3.758zm-8.95-7.668a.196.196 0 00-.196-.145h-1.95a.194.194 0 00-.194.144L.008 16.916c-.017.051-.011.076.062.076h1.733c.075 0 .099-.023.114-.072l1.008-3.318h3.496l1.008 3.318c.016.049.039.072.113.072h1.734c.072 0 .078-.025.062-.076-.014-.05-3.083-9.741-3.494-11.04zm-2.618 6.318l1.447-5.25 1.447 5.25H3.226z"}));function Z({mobile:e,dropdownItemsBefore:t,dropdownItemsAfter:a,...n}){const{i18n:{currentLocale:c,locales:o,localeConfigs:l}}=Object(E.default)(),s=Object(m.useAlternatePageUtils)();function i(e){return l[e].label}const u=[...t,...o.map((e=>{const t=`pathname://${s.createUrl({locale:e,fullyQualified:!1})}`;return{isNavLink:!0,label:i(e),to:t,target:"_self",autoAddBaseUrl:!1,className:e===c?"dropdown__link--active":""}})),...a],d=e?"Languages":i(c);return r.a.createElement(Q.a,Object(p.a)({},n,{href:"#",mobile:e,label:r.a.createElement("span",null,r.a.createElement(J,{style:{verticalAlign:"text-bottom",marginRight:5}}),r.a.createElement("span",null,d)),items:u}))}var ee=a(67),te=a.n(ee);function ae({mobile:e}){return e?null:r.a.createElement("div",{className:te.a.searchWrapper},r.a.createElement(V,null))}const ne={default:()=>Q.a,localeDropdown:()=>Z,search:()=>ae,docsVersion:()=>a(206).default,docsVersionDropdown:()=>a(207).default,doc:()=>a(208).default};function re({type:e,...t}){const a=((e="default")=>{const t=ne[e];if(!t)throw new Error(`No NavbarItem component found for type=${e}.`);return t()})(e);return r.a.createElement(a,t)}var ce=a(180),oe=a(182),le=a(69),se=a.n(le);const ie="right";var ue=function(){const{navbar:{items:e,hideOnScroll:t,style:a},colorMode:{disableSwitch:o}}=Object(m.useThemeConfig)(),[l,s]=Object(n.useState)(!1),{isDarkTheme:i,setLightTheme:u,setDarkTheme:d}=Object(z.a)(),{navbarRef:f,isNavbarVisible:h}=G(t);Object(Y.a)(l);const b=Object(n.useCallback)((()=>{s(!0)}),[s]),v=Object(n.useCallback)((()=>{s(!1)}),[s]),g=Object(n.useCallback)((e=>e.target.checked?d():u()),[u,d]),E=Object(W.a)();Object(n.useEffect)((()=>{E===W.b.desktop&&s(!1)}),[E]);const O=e.some((e=>"search"===e.type)),{leftItems:k,rightItems:y}=function(e){return{leftItems:e.filter((e=>{var t;return"left"===(null!==(t=e.position)&&void 0!==t?t:ie)})),rightItems:e.filter((e=>{var t;return"right"===(null!==(t=e.position)&&void 0!==t?t:ie)}))}}(e);return r.a.createElement("nav",{ref:f,className:Object(c.a)("navbar","navbar--fixed-top",{"navbar--dark":"dark"===a,"navbar--primary":"primary"===a,"navbar-sidebar--show":l,[se.a.navbarHideable]:t,[se.a.navbarHidden]:t&&!h})},r.a.createElement("div",{className:"navbar__inner"},r.a.createElement("div",{className:"navbar__items"},null!=e&&0!==e.length&&r.a.createElement("button",{"aria-label":"Navigation bar toggle",className:"navbar__toggle",type:"button",tabIndex:0,onClick:b,onKeyDown:b},r.a.createElement(oe.a,null)),r.a.createElement(ce.a,{className:"navbar__brand",imageClassName:"navbar__logo",titleClassName:Object(c.a)("navbar__title")}),k.map(((e,t)=>r.a.createElement(re,Object(p.a)({},e,{key:t}))))),r.a.createElement("div",{className:"navbar__items navbar__items--right"},y.map(((e,t)=>r.a.createElement(re,Object(p.a)({},e,{key:t})))),!o&&r.a.createElement(K,{className:se.a.displayOnlyInLargeViewport,"aria-label":"Dark mode toggle",checked:i,onChange:g}),!O&&r.a.createElement(V,null))),r.a.createElement("div",{role:"presentation",className:"navbar-sidebar__backdrop",onClick:v}),r.a.createElement("div",{className:"navbar-sidebar"},r.a.createElement("div",{className:"navbar-sidebar__brand"},r.a.createElement(ce.a,{className:"navbar__brand",imageClassName:"navbar__logo",titleClassName:"navbar__title",onClick:v}),!o&&l&&r.a.createElement(K,{"aria-label":"Dark mode toggle in sidebar",checked:i,onChange:g})),r.a.createElement("div",{className:"navbar-sidebar__items"},r.a.createElement("div",{className:"menu"},r.a.createElement("ul",{className:"menu__list"},e.map(((e,t)=>r.a.createElement(re,Object(p.a)({mobile:!0},e,{onClick:v,key:t})))))))))},de=a(70),me=a.n(de),fe=a(181);function he({to:e,href:t,label:a,prependBaseUrlToHref:n,...c}){const o=Object(O.a)(e),l=Object(O.a)(t,{forcePrependBaseUrl:!0});return r.a.createElement(k.a,Object(p.a)({className:"footer__link-item"},t?{href:n?l:t}:{to:o},c),a)}const be=({sources:e,alt:t})=>r.a.createElement(fe.a,{className:"footer__logo",alt:t,sources:e});var ve=function(){const{footer:e}=Object(m.useThemeConfig)(),{copyright:t,links:a=[],logo:n={}}=e||{},o={light:Object(O.a)(n.src),dark:Object(O.a)(n.srcDark||n.src)};return e?r.a.createElement("footer",{className:Object(c.a)("footer",{"footer--dark":"dark"===e.style})},r.a.createElement("div",{className:"container"},a&&a.length>0&&r.a.createElement("div",{className:"row footer__links"},a.map(((e,t)=>r.a.createElement("div",{key:t,className:"col footer__col"},null!=e.title?r.a.createElement("h4",{className:"footer__title"},e.title):null,null!=e.items&&Array.isArray(e.items)&&e.items.length>0?r.a.createElement("ul",{className:"footer__items"},e.items.map(((e,t)=>e.html?r.a.createElement("li",{key:t,className:"footer__item",dangerouslySetInnerHTML:{__html:e.html}}):r.a.createElement("li",{key:e.href||e.to,className:"footer__item"},r.a.createElement(he,e))))):null)))),(n||t)&&r.a.createElement("div",{className:"footer__bottom text--center"},n&&(n.src||n.srcDark)&&r.a.createElement("div",{className:"margin-bottom--sm"},n.href?r.a.createElement(k.a,{href:n.href,className:me.a.footerLogoLink},r.a.createElement(be,{alt:n.alt,sources:o})):r.a.createElement(be,{alt:n.alt,sources:o})),t?r.a.createElement("div",{className:"footer__copyright",dangerouslySetInnerHTML:{__html:t}}):null))):null},pe=a(8);const ge="light",Ee="dark",Oe=e=>e===Ee?Ee:ge,ke=()=>pe.a.canUseDOM?Oe(document.documentElement.getAttribute("data-theme")):ge,ye=e=>{try{localStorage.setItem("theme",Oe(e))}catch(t){console.error(t)}};var je=()=>{const{colorMode:{disableSwitch:e,respectPrefersColorScheme:t}}=Object(m.useThemeConfig)(),[a,r]=Object(n.useState)(ke),c=Object(n.useCallback)((()=>{r(ge),ye(ge)}),[]),o=Object(n.useCallback)((()=>{r(Ee),ye(Ee)}),[]);return Object(n.useEffect)((()=>{document.documentElement.setAttribute("data-theme",Oe(a))}),[a]),Object(n.useEffect)((()=>{if(!e)try{const e=localStorage.getItem("theme");null!==e&&r(Oe(e))}catch(t){console.error(t)}}),[r]),Object(n.useEffect)((()=>{e&&!t||window.matchMedia("(prefers-color-scheme: dark)").addListener((({matches:e})=>{r(e?Ee:ge)}))}),[]),{isDarkTheme:a===Ee,setLightTheme:c,setDarkTheme:o}},Ce=a(176);var we=function(e){const{isDarkTheme:t,setLightTheme:a,setDarkTheme:n}=je();return r.a.createElement(Ce.a.Provider,{value:{isDarkTheme:t,setLightTheme:a,setDarkTheme:n}},e.children)};const _e="docusaurus.tab.";var Ne=()=>{const[e,t]=Object(n.useState)({}),a=Object(n.useCallback)(((e,t)=>{try{localStorage.setItem(`docusaurus.tab.${e}`,t)}catch(a){console.error(a)}}),[]);return Object(n.useEffect)((()=>{try{const e={};for(let t=0;t<localStorage.length;t+=1){const a=localStorage.key(t);if(a.startsWith(_e)){e[a.substring(_e.length)]=localStorage.getItem(a)}}t(e)}catch(e){console.error(e)}}),[]),{tabGroupChoices:e,setTabGroupChoices:(e,n)=>{t((t=>({...t,[e]:n}))),a(e,n)}}};const Se="docusaurus.announcement.dismiss",Le="docusaurus.announcement.id";var Te=()=>{const{announcementBar:e}=Object(m.useThemeConfig)(),[t,a]=Object(n.useState)(!0),r=Object(n.useCallback)((()=>{localStorage.setItem(Se,"true"),a(!0)}),[]);return Object(n.useEffect)((()=>{if(!e)return;const{id:t}=e;let n=localStorage.getItem(Le);"annoucement-bar"===n&&(n="announcement-bar");const r=t!==n;localStorage.setItem(Le,t),r&&localStorage.setItem(Se,"false"),(r||"false"===localStorage.getItem(Se))&&a(!1)}),[]),{isAnnouncementBarClosed:t,closeAnnouncementBar:r}},De=a(145);var Ae=function(e){const{tabGroupChoices:t,setTabGroupChoices:a}=Ne(),{isAnnouncementBarClosed:n,closeAnnouncementBar:c}=Te();return r.a.createElement(De.a.Provider,{value:{tabGroupChoices:t,setTabGroupChoices:a,isAnnouncementBarClosed:n,closeAnnouncementBar:c}},e.children)};function Pe({children:e}){return r.a.createElement(we,null,r.a.createElement(Ae,null,r.a.createElement(m.DocsPreferredVersionContextProvider,null,e)))}function Ie({locale:e,version:t,tag:a}){const n=e;return r.a.createElement(y.a,null,n&&r.a.createElement("meta",{name:"docsearch:language",content:n}),t&&r.a.createElement("meta",{name:"docsearch:version",content:t}),a&&r.a.createElement("meta",{name:"docsearch:docusaurus_tag",content:a}))}var xe=a(161);function Be(){const{i18n:{defaultLocale:e,locales:t}}=Object(E.default)(),a=Object(m.useAlternatePageUtils)();return r.a.createElement(y.a,null,t.map((e=>r.a.createElement("link",{key:e,rel:"alternate",href:a.createUrl({locale:e,fullyQualified:!0}),hrefLang:e}))),r.a.createElement("link",{rel:"alternate",href:a.createUrl({locale:e,fullyQualified:!0}),hrefLang:"x-default"}))}function Me({permalink:e}){const{siteConfig:{url:t}}=Object(E.default)(),a=function(){const{siteConfig:{url:e}}=Object(E.default)(),{pathname:t}=Object(l.useLocation)();return e+Object(O.a)(t)}(),n=e?`${t}${e}`:a;return r.a.createElement(y.a,null,r.a.createElement("meta",{property:"og:url",content:n}),r.a.createElement("link",{rel:"canonical",href:n}))}function Ve(e){const{siteConfig:t,i18n:{currentLocale:a,localeConfigs:n}}=Object(E.default)(),{favicon:c,themeConfig:{image:o,metadatas:l}}=t,{title:s,description:i,image:u,keywords:d,searchMetadatas:f}=e,h=Object(O.a)(c),b=a,v=n[a].direction;return r.a.createElement(r.a.Fragment,null,r.a.createElement(y.a,null,r.a.createElement("html",{lang:b,dir:v}),c&&r.a.createElement("link",{rel:"shortcut icon",href:h})),r.a.createElement(xe.a,{title:s,description:i,keywords:d,image:u||o}),r.a.createElement(Me,null),r.a.createElement(Be,null),r.a.createElement(Ie,Object(p.a)({tag:m.DEFAULT_SEARCH_TAG,locale:a},f)),r.a.createElement(y.a,null,l.map(((e,t)=>r.a.createElement("meta",Object(p.a)({key:`metadata_${t}`},e))))))}a(71);var Re=function(){Object(n.useEffect)((()=>{const e="navigation-with-keyboard";function t(t){"keydown"===t.type&&"Tab"===t.key&&document.body.classList.add(e),"mousedown"===t.type&&document.body.classList.remove(e)}return document.addEventListener("keydown",t),document.addEventListener("mousedown",t),()=>{document.body.classList.remove(e),document.removeEventListener("keydown",t),document.removeEventListener("mousedown",t)}}),[])};a(72);t.a=function(e){const{children:t,noFooter:a,wrapperClassName:n}=e;return Re(),r.a.createElement(Pe,null,r.a.createElement(Ve,e),r.a.createElement(d,null),r.a.createElement(v,null),r.a.createElement(ue,null),r.a.createElement("div",{className:Object(c.a)("main-wrapper",n)},t),!a&&r.a.createElement(ve,null))}},154:function(e,t,a){"use strict";var n=a(3),r=a(0),c=a.n(r),o=a(143),l=a(150),s=a(141),i=a(23),u=a(148);function d({activeBasePath:e,activeBaseRegex:t,to:a,href:r,label:o,activeClassName:i="navbar__link--active",prependBaseUrlToHref:u,...d}){const m=Object(s.a)(a),f=Object(s.a)(e),h=Object(s.a)(r,{forcePrependBaseUrl:!0});return c.a.createElement(l.a,Object(n.a)({},r?{href:u?h:r}:{isNavLink:!0,activeClassName:i,to:m,...e||t?{isActive:(e,a)=>t?new RegExp(t).test(a.pathname):a.pathname.startsWith(f)}:null},d),o)}function m({items:e,position:t,className:a,...l}){var s;const i=Object(r.useRef)(null),u=Object(r.useRef)(null),[m,f]=Object(r.useState)(!1);Object(r.useEffect)((()=>{const e=e=>{i.current&&!i.current.contains(e.target)&&f(!1)};return document.addEventListener("mousedown",e),document.addEventListener("touchstart",e),()=>{document.removeEventListener("mousedown",e),document.removeEventListener("touchstart",e)}}),[i]);const h=(e,t=!1)=>Object(o.a)({"navbar__item navbar__link":!t,dropdown__link:t},e);return e?c.a.createElement("div",{ref:i,className:Object(o.a)("navbar__item","dropdown","dropdown--hoverable",{"dropdown--left":"left"===t,"dropdown--right":"right"===t,"dropdown--show":m})},c.a.createElement(d,Object(n.a)({className:h(a)},l,{onClick:l.to?void 0:e=>e.preventDefault(),onKeyDown:e=>{"Enter"===e.key&&(e.preventDefault(),f(!m))}}),null!==(s=l.children)&&void 0!==s?s:l.label),c.a.createElement("ul",{ref:u,className:"dropdown__menu"},e.map((({className:t,...a},r)=>c.a.createElement("li",{key:r},c.a.createElement(d,Object(n.a)({onKeyDown:t=>{if(r===e.length-1&&"Tab"===t.key){t.preventDefault(),f(!1);const e=i.current.nextElementSibling;e&&e.focus()}},activeClassName:"dropdown__link--active",className:h(t,!0)},a))))))):c.a.createElement(d,Object(n.a)({className:h(a)},l))}function f({items:e,className:t,position:a,...l}){var s,m,f;const h=Object(r.useRef)(null),{pathname:b}=Object(i.useLocation)(),[v,p]=Object(r.useState)((()=>{var t;return null===(t=!(null!=e&&e.some((e=>Object(u.isSamePath)(e.to,b)))))||void 0===t||t})),g=(e,t=!1)=>Object(o.a)("menu__link",{"menu__link--sublist":t},e);if(!e)return c.a.createElement("li",{className:"menu__list-item"},c.a.createElement(d,Object(n.a)({className:g(t)},l)));const E=null!==(s=h.current)&&void 0!==s&&s.scrollHeight?`${null===(m=h.current)||void 0===m?void 0:m.scrollHeight}px`:void 0;return c.a.createElement("li",{className:Object(o.a)("menu__list-item",{"menu__list-item--collapsed":v})},c.a.createElement(d,Object(n.a)({role:"button",className:g(t,!0)},l,{onClick:e=>{e.preventDefault(),p((e=>!e))}}),null!==(f=l.children)&&void 0!==f?f:l.label),c.a.createElement("ul",{className:"menu__list",ref:h,style:{height:v?void 0:E}},e.map((({className:e,...t},a)=>c.a.createElement("li",{className:"menu__list-item",key:a},c.a.createElement(d,Object(n.a)({activeClassName:"menu__link--active",className:g(e)},t,{onClick:l.onClick})))))))}t.a=function({mobile:e=!1,...t}){const a=e?f:m;return c.a.createElement(a,t)}},157:function(e,t,a){"use strict";var n=a(0),r=a(176);t.a=function(){const e=Object(n.useContext)(r.a);if(null==e)throw new Error("`useThemeContext` is used outside of `Layout` Component. See https://v2.docusaurus.io/docs/api/themes/configuration#usethemecontext.");return e}},174:function(e,t,a){"use strict";var n=a(23),r=a(8),c=a(16);t.a=function(){const e=Object(n.useHistory)(),t=Object(n.useLocation)(),{siteConfig:{baseUrl:a}={}}=Object(c.default)();return{searchValue:r.a.canUseDOM&&new URLSearchParams(t.search).get("q")||"",updateSearchPath:a=>{const n=new URLSearchParams(t.search);a?n.set("q",a):n.delete("q"),e.replace({search:n.toString()})},generateSearchPageLink:e=>`${a}search?q=${encodeURIComponent(e)}`}}},175:function(e,t,a){"use strict";a.d(t,"a",(function(){return c}));var n=a(0),r=a.n(n);function c(){return r.a.createElement("svg",{width:"20",height:"20",className:"DocSearch-Search-Icon",viewBox:"0 0 20 20"},r.a.createElement("path",{d:"M14.386 14.386l4.0877 4.0877-4.0877-4.0877c-2.9418 2.9419-7.7115 2.9419-10.6533 0-2.9419-2.9418-2.9419-7.7115 0-10.6533 2.9418-2.9419 7.7115-2.9419 10.6533 0 2.9419 2.9418 2.9419 7.7115 0 10.6533z",stroke:"currentColor",fill:"none",fillRule:"evenodd",strokeLinecap:"round",strokeLinejoin:"round"}))}},176:function(e,t,a){"use strict";var n=a(0);const r=a.n(n).a.createContext(void 0);t.a=r},177:function(e,t,a){"use strict";var n=a(0),r=a(8);const c=()=>({scrollX:r.a.canUseDOM?window.pageXOffset:0,scrollY:r.a.canUseDOM?window.pageYOffset:0});t.a=(e,t=[])=>{const[a,r]=Object(n.useState)(c()),o=()=>{const t=c();r(t),e&&e(t)};return Object(n.useEffect)((()=>{const e={passive:!0};return window.addEventListener("scroll",o,e),()=>window.removeEventListener("scroll",o,e)}),t),a}},178:function(e,t,a){"use strict";var n=a(0);t.a=function(e=!0){Object(n.useEffect)((()=>(document.body.style.overflow=e?"hidden":"visible",()=>{document.body.style.overflow="visible"})),[e])}},179:function(e,t,a){"use strict";a.d(t,"b",(function(){return c}));var n=a(0),r=a(8);const c={desktop:"desktop",mobile:"mobile"};t.a=function(){const e=r.a.canUseDOM;function t(){if(e)return window.innerWidth>996?c.desktop:c.mobile}const[a,o]=Object(n.useState)(t);return Object(n.useEffect)((()=>{if(e)return window.addEventListener("resize",a),()=>window.removeEventListener("resize",a);function a(){o(t())}}),[]),a}},180:function(e,t,a){"use strict";var n=a(3),r=a(0),c=a.n(r),o=a(150),l=a(181),s=a(141),i=a(16),u=a(148);t.a=e=>{const{isClient:t}=Object(i.default)(),{navbar:{title:a,logo:r={src:""}}}=Object(u.useThemeConfig)(),{imageClassName:d,titleClassName:m,...f}=e,h=Object(s.a)(r.href||"/"),b={light:Object(s.a)(r.src),dark:Object(s.a)(r.srcDark||r.src)};return c.a.createElement(o.a,Object(n.a)({to:h},f,r.target&&{target:r.target}),r.src&&c.a.createElement(l.a,{key:t,className:d,sources:b,alt:r.alt||a||"Logo"}),null!=a&&c.a.createElement("strong",{className:m},a))}},181:function(e,t,a){"use strict";var n=a(3),r=a(0),c=a.n(r),o=a(143),l=a(16),s=a(157),i=a(68),u=a.n(i);t.a=e=>{const{isClient:t}=Object(l.default)(),{isDarkTheme:a}=Object(s.a)(),{sources:r,className:i,alt:d="",...m}=e,f=t?a?["dark"]:["light"]:["light","dark"];return c.a.createElement(c.a.Fragment,null,f.map((e=>c.a.createElement("img",Object(n.a)({key:e,src:r[e],alt:d,className:Object(o.a)(u.a.themedImage,u.a[`themedImage--${e}`],i)},m)))))}},182:function(e,t,a){"use strict";var n=a(3),r=a(0),c=a.n(r);t.a=({width:e=30,height:t=30,className:a,...r})=>c.a.createElement("svg",Object(n.a)({"aria-label":"Menu",className:a,width:e,height:t,viewBox:"0 0 30 30",role:"img",focusable:"false"},r),c.a.createElement("title",null,"Menu"),c.a.createElement("path",{stroke:"currentColor",strokeLinecap:"round",strokeMiterlimit:"10",strokeWidth:"2",d:"M4 7h22M4 15h22M4 23h22"}))},201:function(e,t,a){"use strict";Object.defineProperty(t,"__esModule",{value:!0});var n=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var a=arguments[t];for(var n in a)Object.prototype.hasOwnProperty.call(a,n)&&(e[n]=a[n])}return e},r=function(){function e(e,t){for(var a=0;a<t.length;a++){var n=t[a];n.enumerable=n.enumerable||!1,n.configurable=!0,"value"in n&&(n.writable=!0),Object.defineProperty(e,n.key,n)}}return function(t,a,n){return a&&e(t.prototype,a),n&&e(t,n),t}}(),c=a(0),o=m(c),l=m(a(202)),s=m(a(1)),i=m(a(203)),u=m(a(204)),d=a(205);function m(e){return e&&e.__esModule?e:{default:e}}var f=function(e){function t(e){!function(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")}(this,t);var a=function(e,t){if(!e)throw new ReferenceError("this hasn't been initialised - super() hasn't been called");return!t||"object"!=typeof t&&"function"!=typeof t?e:t}(this,(t.__proto__||Object.getPrototypeOf(t)).call(this,e));return a.handleClick=a.handleClick.bind(a),a.handleTouchStart=a.handleTouchStart.bind(a),a.handleTouchMove=a.handleTouchMove.bind(a),a.handleTouchEnd=a.handleTouchEnd.bind(a),a.handleFocus=a.handleFocus.bind(a),a.handleBlur=a.handleBlur.bind(a),a.previouslyChecked=!(!e.checked&&!e.defaultChecked),a.state={checked:!(!e.checked&&!e.defaultChecked),hasFocus:!1},a}return function(e,t){if("function"!=typeof t&&null!==t)throw new TypeError("Super expression must either be null or a function, not "+typeof t);e.prototype=Object.create(t&&t.prototype,{constructor:{value:e,enumerable:!1,writable:!0,configurable:!0}}),t&&(Object.setPrototypeOf?Object.setPrototypeOf(e,t):e.__proto__=t)}(t,e),r(t,[{key:"componentDidUpdate",value:function(e){e.checked!==this.props.checked&&this.setState({checked:!!this.props.checked})}},{key:"handleClick",value:function(e){var t=this.input;if(e.target!==t&&!this.moved)return this.previouslyChecked=t.checked,e.preventDefault(),t.focus(),void t.click();var a=this.props.hasOwnProperty("checked")?this.props.checked:t.checked;this.setState({checked:a})}},{key:"handleTouchStart",value:function(e){this.startX=(0,d.pointerCoord)(e).x,this.activated=!0}},{key:"handleTouchMove",value:function(e){if(this.activated&&(this.moved=!0,this.startX)){var t=(0,d.pointerCoord)(e).x;this.state.checked&&t+15<this.startX?(this.setState({checked:!1}),this.startX=t,this.activated=!0):t-15>this.startX&&(this.setState({checked:!0}),this.startX=t,this.activated=t<this.startX+5)}}},{key:"handleTouchEnd",value:function(e){if(this.moved){var t=this.input;if(e.preventDefault(),this.startX){var a=(0,d.pointerCoord)(e).x;!0===this.previouslyChecked&&this.startX+4>a?this.previouslyChecked!==this.state.checked&&(this.setState({checked:!1}),this.previouslyChecked=this.state.checked,t.click()):this.startX-4<a&&this.previouslyChecked!==this.state.checked&&(this.setState({checked:!0}),this.previouslyChecked=this.state.checked,t.click()),this.activated=!1,this.startX=null,this.moved=!1}}}},{key:"handleFocus",value:function(e){var t=this.props.onFocus;t&&t(e),this.setState({hasFocus:!0})}},{key:"handleBlur",value:function(e){var t=this.props.onBlur;t&&t(e),this.setState({hasFocus:!1})}},{key:"getIcon",value:function(e){var a=this.props.icons;return a?void 0===a[e]?t.defaultProps.icons[e]:a[e]:null}},{key:"render",value:function(){var e=this,t=this.props,a=t.className,r=(t.icons,function(e,t){var a={};for(var n in e)t.indexOf(n)>=0||Object.prototype.hasOwnProperty.call(e,n)&&(a[n]=e[n]);return a}(t,["className","icons"])),c=(0,l.default)("react-toggle",{"react-toggle--checked":this.state.checked,"react-toggle--focus":this.state.hasFocus,"react-toggle--disabled":this.props.disabled},a);return o.default.createElement("div",{className:c,onClick:this.handleClick,onTouchStart:this.handleTouchStart,onTouchMove:this.handleTouchMove,onTouchEnd:this.handleTouchEnd},o.default.createElement("div",{className:"react-toggle-track"},o.default.createElement("div",{className:"react-toggle-track-check"},this.getIcon("checked")),o.default.createElement("div",{className:"react-toggle-track-x"},this.getIcon("unchecked"))),o.default.createElement("div",{className:"react-toggle-thumb"}),o.default.createElement("input",n({},r,{ref:function(t){e.input=t},onFocus:this.handleFocus,onBlur:this.handleBlur,className:"react-toggle-screenreader-only",type:"checkbox"})))}}]),t}(c.PureComponent);t.default=f,f.displayName="Toggle",f.defaultProps={icons:{checked:o.default.createElement(i.default,null),unchecked:o.default.createElement(u.default,null)}},f.propTypes={checked:s.default.bool,disabled:s.default.bool,defaultChecked:s.default.bool,onChange:s.default.func,onFocus:s.default.func,onBlur:s.default.func,className:s.default.string,name:s.default.string,value:s.default.string,id:s.default.string,"aria-labelledby":s.default.string,"aria-label":s.default.string,icons:s.default.oneOfType([s.default.bool,s.default.shape({checked:s.default.node,unchecked:s.default.node})])}},202:function(e,t,a){var n;!function(){"use strict";var a={}.hasOwnProperty;function r(){for(var e=[],t=0;t<arguments.length;t++){var n=arguments[t];if(n){var c=typeof n;if("string"===c||"number"===c)e.push(n);else if(Array.isArray(n)&&n.length){var o=r.apply(null,n);o&&e.push(o)}else if("object"===c)for(var l in n)a.call(n,l)&&n[l]&&e.push(l)}}return e.join(" ")}e.exports?(r.default=r,e.exports=r):void 0===(n=function(){return r}.apply(t,[]))||(e.exports=n)}()},203:function(e,t,a){"use strict";Object.defineProperty(t,"__esModule",{value:!0});var n,r=a(0),c=(n=r)&&n.__esModule?n:{default:n};t.default=function(){return c.default.createElement("svg",{width:"14",height:"11",viewBox:"0 0 14 11"},c.default.createElement("title",null,"switch-check"),c.default.createElement("path",{d:"M11.264 0L5.26 6.004 2.103 2.847 0 4.95l5.26 5.26 8.108-8.107L11.264 0",fill:"#fff",fillRule:"evenodd"}))}},204:function(e,t,a){"use strict";Object.defineProperty(t,"__esModule",{value:!0});var n,r=a(0),c=(n=r)&&n.__esModule?n:{default:n};t.default=function(){return c.default.createElement("svg",{width:"10",height:"10",viewBox:"0 0 10 10"},c.default.createElement("title",null,"switch-x"),c.default.createElement("path",{d:"M9.9 2.12L7.78 0 4.95 2.828 2.12 0 0 2.12l2.83 2.83L0 7.776 2.123 9.9 4.95 7.07 7.78 9.9 9.9 7.776 7.072 4.95 9.9 2.12",fill:"#fff",fillRule:"evenodd"}))}},205:function(e,t,a){"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.pointerCoord=function(e){if(e){var t=e.changedTouches;if(t&&t.length>0){var a=t[0];return{x:a.clientX,y:a.clientY}}var n=e.pageX;if(void 0!==n)return{x:n,y:e.pageY}}return{x:0,y:0}}},206:function(e,t,a){"use strict";a.r(t),a.d(t,"default",(function(){return i}));var n=a(3),r=a(0),c=a.n(r),o=a(154),l=a(151),s=a(148);function i({label:e,to:t,docsPluginId:a,...r}){var i;const u=Object(l.useActiveVersion)(a),{preferredVersion:d}=Object(s.useDocsPreferredVersion)(a),m=Object(l.useLatestVersion)(a),f=null!==(i=null!=u?u:d)&&void 0!==i?i:m,h=null!=e?e:f.label,b=null!=t?t:(e=>e.docs.find((t=>t.id===e.mainDocId)))(f).path;return c.a.createElement(o.a,Object(n.a)({},r,{label:h,to:b}))}},207:function(e,t,a){"use strict";a.r(t),a.d(t,"default",(function(){return u}));var n=a(3),r=a(0),c=a.n(r),o=a(154),l=a(151),s=a(148);const i=e=>e.docs.find((t=>t.id===e.mainDocId));function u({mobile:e,docsPluginId:t,dropdownActiveClassDisabled:a,dropdownItemsBefore:r,dropdownItemsAfter:u,...d}){var m,f;const h=Object(l.useActiveDocContext)(t),b=Object(l.useVersions)(t),v=Object(l.useLatestVersion)(t),{preferredVersion:p,savePreferredVersionName:g}=Object(s.useDocsPreferredVersion)(t);const E=null!==(m=null!==(f=h.activeVersion)&&void 0!==f?f:p)&&void 0!==m?m:v,O=e?"Versions":E.label,k=e?void 0:i(E).path;return c.a.createElement(o.a,Object(n.a)({},d,{mobile:e,label:O,to:k,items:function(){const e=b.map((e=>{const t=(null==h?void 0:h.alternateDocVersions[e.name])||i(e);return{isNavLink:!0,label:e.label,to:t.path,isActive:()=>e===(null==h?void 0:h.activeVersion),onClick:()=>{g(e.name)}}})),t=[...r,...e,...u];if(!(t.length<=1))return t}(),isActive:a?()=>!1:void 0}))}},208:function(e,t,a){"use strict";a.r(t),a.d(t,"default",(function(){return u}));var n=a(3),r=a(0),c=a.n(r),o=a(154),l=a(151),s=a(143),i=a(148);function u({docId:e,activeSidebarClassName:t,label:a,docsPluginId:r,...u}){var d;const{activeVersion:m,activeDoc:f}=Object(l.useActiveDocContext)(r),{preferredVersion:h}=Object(i.useDocsPreferredVersion)(r),b=Object(l.useLatestVersion)(r),v=null!==(d=null!=m?m:h)&&void 0!==d?d:b,p=v.docs.find((t=>t.id===e));if(!p)throw new Error(`DocNavbarItem: couldn't find any doc with id=${e} in version ${v.name}.\nAvailable docIds=\n- ${v.docs.join("\n- ")}`);return c.a.createElement(o.a,Object(n.a)({exact:!0},u,{className:Object(s.a)(u.className,{[t]:f&&f.sidebar===p.sidebar}),label:null!=a?a:p.id,to:p.path}))}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/2.6b1d437b.js.LICENSE.txt b/docs/assets/js/2.6b1d437b.js.LICENSE.txt
new file mode 100644
index 0000000..bae6dd8
--- /dev/null
+++ b/docs/assets/js/2.6b1d437b.js.LICENSE.txt
@@ -0,0 +1,5 @@
+/*!
+  Copyright (c) 2017 Jed Watson.
+  Licensed under the MIT License (MIT), see
+  http://jedwatson.github.io/classnames
+*/
diff --git a/docs/assets/js/2efa02d5.68e02bc6.js b/docs/assets/js/2efa02d5.68e02bc6.js
new file mode 100644
index 0000000..e491fd4
--- /dev/null
+++ b/docs/assets/js/2efa02d5.68e02bc6.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[12],{84:function(a){a.exports=JSON.parse('{"title":"Recent posts","items":[{"title":"2020w31a-beta","permalink":"/PSP/blog/2020/08/01/2020w31a-beta"},{"title":"2020w28a-beta","permalink":"/PSP/blog/2020/07/09/2020w28a-beta"},{"title":"2020w24a-beta","permalink":"/PSP/blog/2020/06/13/2020w24a-beta"},{"title":"22019w44a-beta","permalink":"/PSP/blog/2019/11/01/2019w44a-beta"},{"title":"2019w42a-beta","permalink":"/PSP/blog/2019/10/13/2019w42a-beta"}]}')}}]);
\ No newline at end of file
diff --git a/docs/assets/js/2f9e530b.cdbf87e3.js b/docs/assets/js/2f9e530b.cdbf87e3.js
new file mode 100644
index 0000000..cc46470
--- /dev/null
+++ b/docs/assets/js/2f9e530b.cdbf87e3.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[13],{140:function(e,a,o){"use strict";o.d(a,"a",(function(){return p})),o.d(a,"b",(function(){return u}));var t=o(0),r=o.n(t);function n(e,a,o){return a in e?Object.defineProperty(e,a,{value:o,enumerable:!0,configurable:!0,writable:!0}):e[a]=o,e}function i(e,a){var o=Object.keys(e);if(Object.getOwnPropertySymbols){var t=Object.getOwnPropertySymbols(e);a&&(t=t.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),o.push.apply(o,t)}return o}function s(e){for(var a=1;a<arguments.length;a++){var o=null!=arguments[a]?arguments[a]:{};a%2?i(Object(o),!0).forEach((function(a){n(e,a,o[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(o)):i(Object(o)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(o,a))}))}return e}function c(e,a){if(null==e)return{};var o,t,r=function(e,a){if(null==e)return{};var o,t,r={},n=Object.keys(e);for(t=0;t<n.length;t++)o=n[t],a.indexOf(o)>=0||(r[o]=e[o]);return r}(e,a);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);for(t=0;t<n.length;t++)o=n[t],a.indexOf(o)>=0||Object.prototype.propertyIsEnumerable.call(e,o)&&(r[o]=e[o])}return r}var d=r.a.createContext({}),m=function(e){var a=r.a.useContext(d),o=a;return e&&(o="function"==typeof e?e(a):s(s({},a),e)),o},p=function(e){var a=m(e.components);return r.a.createElement(d.Provider,{value:a},e.children)},b={inlineCode:"code",wrapper:function(e){var a=e.children;return r.a.createElement(r.a.Fragment,{},a)}},l=r.a.forwardRef((function(e,a){var o=e.components,t=e.mdxType,n=e.originalType,i=e.parentName,d=c(e,["components","mdxType","originalType","parentName"]),p=m(o),l=t,u=p["".concat(i,".").concat(l)]||p[l]||b[l]||n;return o?r.a.createElement(u,s(s({ref:a},d),{},{components:o})):r.a.createElement(u,s({ref:a},d))}));function u(e,a){var o=arguments,t=a&&a.mdxType;if("string"==typeof e||t){var n=o.length,i=new Array(n);i[0]=l;var s={};for(var c in a)hasOwnProperty.call(a,c)&&(s[c]=a[c]);s.originalType=e,s.mdxType="string"==typeof e?e:t,i[1]=s;for(var d=2;d<n;d++)i[d]=o[d];return r.a.createElement.apply(null,i)}return r.a.createElement.apply(null,o)}l.displayName="MDXCreateElement"},141:function(e,a,o){"use strict";o.d(a,"b",(function(){return n})),o.d(a,"a",(function(){return i}));var t=o(16),r=o(142);function n(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(t.default)();return{withBaseUrl:(o,t)=>function(e,a,o,{forcePrependBaseUrl:t=!1,absolute:n=!1}={}){if(!o)return o;if(o.startsWith("#"))return o;if(Object(r.b)(o))return o;if(t)return a+o;const i=o.startsWith(a)?o:a+o.replace(/^\//,"");return n?e+i:i}(a,e,o,t)}}function i(e,a={}){const{withBaseUrl:o}=n();return o(e,a)}},142:function(e,a,o){"use strict";function t(e){return!0===/^(\w*:|\/\/)/.test(e)}function r(e){return void 0!==e&&!t(e)}o.d(a,"b",(function(){return t})),o.d(a,"a",(function(){return r}))},85:function(e,a,o){"use strict";o.r(a),o.d(a,"frontMatter",(function(){return s})),o.d(a,"metadata",(function(){return c})),o.d(a,"toc",(function(){return d})),o.d(a,"default",(function(){return p}));var t=o(3),r=o(7),n=(o(0),o(140)),i=o(141),s={id:"mainScreen",title:"Tela Principal",sidebar_label:"Tela Principal"},c={unversionedId:"mainScreen",id:"mainScreen",isDocsHomePage:!1,title:"Tela Principal",description:"Organiza\xe7\xe3o da tela principal",source:"@site/docs/mainScreen.md",slug:"/mainScreen",permalink:"/PSP/docs/mainScreen",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/mainScreen.md",version:"current",sidebar_label:"Tela Principal",sidebar:"docs",previous:{title:"Installation",permalink:"/PSP/docs/installation"},next:{title:"Ferramentas CAD",permalink:"/PSP/docs/cadTools"}},d=[{value:"Organiza\xe7\xe3o da tela principal",id:"organiza\xe7\xe3o-da-tela-principal",children:[{value:"Menu Ribbon",id:"menu-ribbon",children:[]},{value:"\xc1rea de Trabalho",id:"\xe1rea-de-trabalho",children:[]},{value:"Barra de Status",id:"barra-de-status",children:[]}]},{value:"Configura\xe7\xf5es gerais",id:"configura\xe7\xf5es-gerais",children:[{value:"Idioma",id:"idioma",children:[]},{value:"Renderiza\xe7\xe3o",id:"renderiza\xe7\xe3o",children:[]}]},{value:"Arquivos de projeto do PSP-UFU",id:"arquivos-de-projeto-do-psp-ufu",children:[{value:"Novo projeto",id:"novo-projeto",children:[]},{value:"Salvar e Salvar como...",id:"salvar-e-salvar-como",children:[]},{value:"Abrir projeto",id:"abrir-projeto",children:[]},{value:"Importar projeto",id:"importar-projeto",children:[]}]}],m={toc:d};function p(e){var a=e.components,o=Object(r.a)(e,["components"]);return Object(n.b)("wrapper",Object(t.a)({},m,o,{components:a,mdxType:"MDXLayout"}),Object(n.b)("h2",{id:"organiza\xe7\xe3o-da-tela-principal"},"Organiza\xe7\xe3o da tela principal"),Object(n.b)("p",null,"A tela principal do PSP-UFU \xe9 dividida em tr\xeas se\xe7\xf5es: ",Object(n.b)("em",{parentName:"p"},Object(n.b)("a",{parentName:"em",href:"mainScreen#menu-ribbon"},'Menu "Ribbon"')),", ",Object(n.b)("em",{parentName:"p"},Object(n.b)("a",{parentName:"em",href:"mainScreen#%C3%A1rea-de-trabalho"},"\xc1rea de Trabalho"))," e ",Object(n.b)("em",{parentName:"p"},Object(n.b)("a",{parentName:"em",href:"mainScreen#barra-de-status"},"Barra de Status")),"."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(i.a)("images/mainScreen.svg"),alt:"Tela principal",title:"Tela principal do PSP-UFU no Windows"}))),Object(n.b)("p",null,"Resumidamente, no ",Object(n.b)("strong",{parentName:"p"},"Menu Ribbon")," s\xe3o acessadas as ferramentas do PSP-UFU; na ",Object(n.b)("strong",{parentName:"p"},"\xc1rea de Trabalho")," s\xe3o criados os diagramas unifilares de pot\xeancia; e na ",Object(n.b)("strong",{parentName:"p"},"Barra de Status")," s\xe3o exibidas importantes informa\xe7\xf5es acerca do estado da \xc1rea de Trabalho."),Object(n.b)("h3",{id:"menu-ribbon"},"Menu Ribbon"),Object(n.b)("blockquote",null,Object(n.b)("p",{parentName:"blockquote"},"Em inform\xe1tica o ribbon (faixa, em ingl\xeas) \xe9 um formato de apresenta\xe7\xe3o de interface baseada na GUI onde a barra de ferramentas \xe9 mostrada atrav\xe9s de uma barra mais larga com icones maiores possibilitando o uso dos aplicativos por dispositivos ",Object(n.b)("em",{parentName:"p"},"touch screen"),".\n",Object(n.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Ribbon_(inform%C3%A1tica)"},"Wikipedia"))),Object(n.b)("p",null,"O menu Ribbon \xe9 composto de tr\xeas submenus: \u201cArquivo\u201d, \u201cFerramentas\u201d e \u201cSimula\xe7\xe3o\u201d."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(i.a)("images/menuFile.png"),alt:"Menu Arquivo",title:"Menu Arquivo"}))),Object(n.b)("p",null,"Em ",Object(n.b)("strong",{parentName:"p"},"Arquivo")," est\xe3o as ferramentas gerais do programa, as quais permitem ao usu\xe1rio criar e salvar novos projetos, al\xe9m daquelas que possibilitam carregar os projetos j\xe1 existentes e importar arquivos de outros programas. Esse submenu tamb\xe9m possui op\xe7\xf5es gerais do programa e acesso a informa\xe7\xf5es sobre o programa."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(i.a)("images/menuTools.png"),alt:"Menu Ferramentas",title:"Menu Ferramentas"}))),Object(n.b)("p",null,"Em ",Object(n.b)("strong",{parentName:"p"},"Ferramentas")," est\xe3o presentes os itens espec\xedficos, os quais est\xe3o relacionados \xe0 cria\xe7\xe3o e manipula\xe7\xe3o da rede el\xe9trica de pot\xeancia, relat\xf3rios tabulares de sa\xedda de dados e acesso ao formul\xe1rio de cria\xe7\xe3o de gr\xe1ficos no tempo. Algumas configura\xe7\xf5es espec\xedficas do projeto ativo s\xe3o acessadas por esse menu."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(i.a)("images/menuSimulation.png"),alt:"Menu Simula\xe7\xe3o",title:"Menu Simula\xe7\xe3o"}))),Object(n.b)("p",null,"Finalmente, o submenu ",Object(n.b)("strong",{parentName:"p"},"Simula\xe7\xe3o")," proporciona o acesso do usu\xe1rio aos c\xe1lculos realizados pelo ",Object(n.b)("em",{parentName:"p"},"software")," e suas configura\xe7\xf5es, al\xe9m da ferramenta de \u201csolu\xe7\xe3o cont\xednua\u201d, a qual resolve os c\xe1lculos est\xe1ticos (fluxo de pot\xeancia, curto-circuito e harm\xf4nicos) ap\xf3s quaisquer mudan\xe7as na rede de pot\xeancia, como remo\xe7\xe3o de componente ou altera\xe7\xe3o de seus dados. Todas as configura\xe7\xf5es de simula\xe7\xe3o do projeto ativo s\xe3o acessadas por esse menu."),Object(n.b)("h3",{id:"\xe1rea-de-trabalho"},"\xc1rea de Trabalho"),Object(n.b)("p",null,"Na \xe1rea de trabalho est\xe3o presentes os projetos em execu\xe7\xe3o, os quais s\xe3o divididos por abas identificadas pelo nome do projeto (caso j\xe1 esteja gravado no disco). \xc9 nessa \xe1rea que s\xe3o inseridos e exclu\xeddos os elementos el\xe9tricos, cujas ferramentas s\xe3o acessadas por meio do ",Object(n.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"Menu Ribbon"),"."),Object(n.b)("p",null,"As edi\xe7\xf5es gr\xe1ficas dos elementos, como posi\xe7\xe3o, conex\xe3o e tamanho dos barramentos, s\xe3o realizadas por meio da a\xe7\xe3o ",Object(n.b)("em",{parentName:"p"},"drag-and-drop")," (arrastar e soltar) com a utiliza\xe7\xe3o do mouse. A edi\xe7\xe3o dos dados el\xe9tricos \xe9 feita por meio de formul\xe1rios de dados acessados clicando duas vezes sobre os elementos."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(i.a)("images/workspace.png"),alt:"\xc1rea de Trabalho",title:"\xc1rea de Trabalho"}))),Object(n.b)("h3",{id:"barra-de-status"},"Barra de Status"),Object(n.b)("p",null,"A barra de status \xe9 respons\xe1vel por informa\xe7\xf5es interessantes sobre as circunst\xe2ncias atuais do programa: modo de opera\xe7\xe3o do mouse (editar, mover, arrastar), zoom aplicado e posi\xe7\xe3o do mouse na \xe1rea de trabalho, al\xe9m de dados sobre as a\xe7\xf5es dos usu\xe1rios, como: inser\xe7\xe3o de elementos, informa\xe7\xe3o sobre copiar e colar, etc."),Object(n.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},Object(n.b)("strong",{parentName:"p"},"Sempre fique atendo \xe0 barra de status"),", pois s\xe3o fornecidas informa\xe7\xf5es importantes acerca da opera\xe7\xe3o do programa. Caso tenha alguma d\xfavida siga as instru\xe7\xf5es apresentadas nesse componente."))),Object(n.b)("h2",{id:"configura\xe7\xf5es-gerais"},"Configura\xe7\xf5es gerais"),Object(n.b)("p",null,"As configura\xe7\xf5es gerais do programa s\xe3o acessadas no submenu Ribbon ",Object(n.b)("strong",{parentName:"p"},"Arquivo"),". Essas configura\xe7\xf5es s\xe3o aplicadas para todos os projetos e permanecem gravadas no disco."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(i.a)("images/generalSettings.png"),alt:"Configura\xe7\xf5es gerais",title:"Configura\xe7\xf5es gerais"}))),Object(n.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Algumas configura\xe7\xf5es de seguran\xe7a do seu computador (principalmente em sistemas Windows) podem gerar uma mensagem de erro ao confirmar as altera\xe7\xf5es das configura\xe7\xf5es gerais."),Object(n.b)("p",{parentName:"div"},"Para resolver esse problema basta ",Object(n.b)("strong",{parentName:"p"},"executar o PSP-UFU como administrador")," (clicar com bot\xe3o direito no atalho do programa e posteriormente em executar como administrador). Altere novamente as configura\xe7\xf5es e reinicie o programa."))),Object(n.b)("h3",{id:"idioma"},"Idioma"),Object(n.b)("p",null,"Atualmente os seguintes idiomas est\xe3o dispon\xedveis no PSP-UFU:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},"Ingl\xeas"),Object(n.b)("li",{parentName:"ul"},"Portugu\xeas")),Object(n.b)("div",{className:"admonition admonition-info alert alert--info"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"O programa deve ser reiniciado para surtir efeito da altera\xe7\xe3o do idioma."))),Object(n.b)("h3",{id:"renderiza\xe7\xe3o"},"Renderiza\xe7\xe3o"),Object(n.b)("p",null,"Define como os elementos gr\xe1ficos do ",Object(n.b)("a",{parentName:"p",href:"powerEditor"},"editor de pot\xeancia")," e do ",Object(n.b)("a",{parentName:"p",href:"controlEditor"},"editor de controle")," s\xe3o desenhados na tela. Atualmente duas op\xe7\xf5es est\xe3o dispon\xedveis:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("a",{parentName:"li",href:"https://www.opengl.org/about/"},"OpenGL")),Object(n.b)("li",{parentName:"ul"},Object(n.b)("a",{parentName:"li",href:"https://docs.wxwidgets.org/3.0/classwx_graphics_context.html"},"Device Context"))),Object(n.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},'o OpenGL pode n\xe3o ser suportado pelo seu computador. Nesse caso, ao criar um novo projeto a tela de trabalho n\xe3o \xe9 exibida ou \xe9 exibida uma tela preta. A solu\xe7\xe3o \xe9 alterar o renderizador para "Device Context". '),Object(n.b)("p",{parentName:"div"},"Caso apare\xe7a uma mensagem de erro, execute o programa como administrador e repita o processo."))),Object(n.b)("div",{className:"admonition admonition-info alert alert--info"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"O programa deve ser reiniciado para surtir efeito de altera\xe7\xe3o do renderizador."))),Object(n.b)("h2",{id:"arquivos-de-projeto-do-psp-ufu"},"Arquivos de projeto do PSP-UFU"),Object(n.b)("p",null,"As op\xe7\xf5es de cria\xe7\xe3o, grava\xe7\xe3o e abertura de projetos no disco, assim como importa\xe7\xe3o de arquivos de outros programas est\xe3o presentes no submenu Ribbon ",Object(n.b)("strong",{parentName:"p"},"Arquivo"),"."),Object(n.b)("h3",{id:"novo-projeto"},"Novo projeto"),Object(n.b)("p",null,"A cria\xe7\xe3o de um novo projeto \xe9 realizada clicando no bot\xe3o ",Object(n.b)("strong",{parentName:"p"},"Novo projeto")," no ",Object(n.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"submenu ",Object(n.b)("strong",{parentName:"a"},"Arquivo")),". Essa a\xe7\xe3o cria um sistema em branco na \xe1rea de trabalho, local onde \xe9 poss\xedvel inserir os elementos el\xe9tricos por meio do ",Object(n.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"submenu ",Object(n.b)("strong",{parentName:"a"},"Ferramentas"))," ou pelas ",Object(n.b)("a",{parentName:"p",href:"powerEditor#teclas-de-atalho"},"teclas de atalho"),"."),Object(n.b)("p",null,"Esse sistema em branco pode ser ciado utilizando o ",Object(n.b)("a",{parentName:"p",href:"powerEditor"},"Editor de Pot\xeancia"),"."),Object(n.b)("h3",{id:"salvar-e-salvar-como"},"Salvar e Salvar como..."),Object(n.b)("p",null,'A op\xe7\xe3o "Salvar" sobrep\xf5e as altera\xe7\xf5es realizadas no projeto aberto e grava no disco. A op\xe7\xe3o "Salvar como..." cria um novo arquivo e grava o projeto no disco com o aux\xedlio de uma janela de sele\xe7\xe3o de pasta (e defini\xe7\xe3o do nome do arquivo).'),Object(n.b)("div",{className:"admonition admonition-info alert alert--info"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},'Para projetos que est\xe3o sendo gravados pela primeira vez a op\xe7\xe3o "Salvar" se comporta de forma id\xeantica \xe0 op\xe7\xe3o "Salvar como...".'))),Object(n.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"O PSP-UFU grava os arquivos com a extens\xe3o ",Object(n.b)("em",{parentName:"p"},".psp"),". Esses arquivos nada mais s\xe3o que arquivos de texto utilizando a ",Object(n.b)("a",{parentName:"p",href:"https://en.wikipedia.org/wiki/Markup_language"},"linguagem de marca\xe7\xe3o")," XML (",Object(n.b)("a",{parentName:"p",href:"https://en.wikipedia.org/wiki/XML"},"eXtensible Markup Language"),"), que define uma s\xe9rie de regras de formata\xe7\xe3o dos dados de forma que eles s\xe3o tanto leg\xedveis por humanos quanto por m\xe1quinas."),Object(n.b)("p",{parentName:"div"},"Portanto, os dados el\xe9tricos contidos neles podem ser facilmente identificados e alterados, caso necess\xe1rio."))),Object(n.b)("h3",{id:"abrir-projeto"},"Abrir projeto"),Object(n.b)("p",null,"Essa op\xe7\xe3o abre os projetos gravados no disco por meio com o aux\xedlio de uma janela de sele\xe7\xe3o de arquivos. "),Object(n.b)("h3",{id:"importar-projeto"},"Importar projeto"),Object(n.b)("p",null,"O PSP-UFU permite a importa\xe7\xe3o de arquivos dos seguintes programas:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("a",{parentName:"li",href:"http://www.cepel.br/pt_br/produtos/programas-computacionais-por-categoria/menu/anarede-analise-de-redes-eletricas.htm"},"ANAREDE")),Object(n.b)("li",{parentName:"ul"},Object(n.b)("a",{parentName:"li",href:"https://matpower.org/"},"Matpower"))),Object(n.b)("p",null,"Para importa\xe7\xe3o dos arquivos do ",Object(n.b)("strong",{parentName:"p"},"ANAREDE")," s\xe3o utilizados tanto o arquivo de dados el\xe9tricos (",Object(n.b)("em",{parentName:"p"},".pwf"),") quanto de dados gr\xe1ficos dos elementos (",Object(n.b)("em",{parentName:"p"},".lst"),")."),Object(n.b)("p",null,"Uma vez que o arquivo do ",Object(n.b)("strong",{parentName:"p"},"Matpower")," (",Object(n.b)("em",{parentName:"p"},".m"),") n\xe3o possui dados gr\xe1ficos dos elementos el\xe9tricos, o diagrama unifilar \xe9 automaticamente gerado pelo PSP-UFU ao import\xe1-lo."),Object(n.b)("h4",{id:"gera\xe7\xe3o-autom\xe1tica-do-layout-de-diagramas-unifilares"},"Gera\xe7\xe3o autom\xe1tica do ",Object(n.b)("em",{parentName:"h4"},"layout")," de diagramas unifilares"),Object(n.b)("p",null,"Para criar o ",Object(n.b)("em",{parentName:"p"},"layout")," autom\xe1tico, utilizou-se a teoria dos grafos baseada no posicionamento direcionado \xe0 for\xe7a e aplica\xe7\xe3o de grafos com arestas ponderadas. De acordo com a teoria dos grafos, o sistema \xe9 modelado como v\xe9rtices e arestas. Nesse contexto, os barramentos s\xe3o os v\xe9rtices e os ramos do sistema (linhas e transformadores) s\xe3o as arestas. As localiza\xe7\xf5es de elementos de deriva\xe7\xe3o, assim como os n\xf3s dos elementos, s\xe3o automaticamente controladas pelo PSP-UFU."),Object(n.b)("p",null,"A ferramenta de ",Object(n.b)("em",{parentName:"p"},"layout")," autom\xe1tico \xe9 composta por um processo iterativo e os resultados s\xe3o mais refinados com um n\xfamero maior de itera\xe7\xf5es. Os melhores resultados s\xe3o obtidos utilizando o n\xfamero de itera\xe7\xf5es igual ou superior a cinco vezes o n\xfamero de barramentos do sistema."),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"O ",Object(n.b)("em",{parentName:"p"},"layout")," autom\xe1tico ainda est\xe1 em desenvolvimento e algumas melhorias podem ser feitas para evitar cruzamentos e sobreposi\xe7\xf5es, por\xe9m, em seu estado atual, \xe9 totalmente funcional e satisfat\xf3rio."))),Object(n.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Uma vez que o Matpower pode converter os formatos CDF (",Object(n.b)("em",{parentName:"p"},"Common Data Format"),") e PSS/E RAW para arquivos ",Object(n.b)("em",{parentName:"p"},".m"),", estes podem ser importados de forma indireta para o PSP-UFU."))))}p.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/3.ff40bc29.js b/docs/assets/js/3.ff40bc29.js
new file mode 100644
index 0000000..8c5613a
--- /dev/null
+++ b/docs/assets/js/3.ff40bc29.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[3],{140:function(e,t,a){"use strict";a.d(t,"a",(function(){return p})),a.d(t,"b",(function(){return y}));var n=a(0),r=a.n(n);function o(e,t,a){return t in e?Object.defineProperty(e,t,{value:a,enumerable:!0,configurable:!0,writable:!0}):e[t]=a,e}function l(e,t){var a=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),a.push.apply(a,n)}return a}function s(e){for(var t=1;t<arguments.length;t++){var a=null!=arguments[t]?arguments[t]:{};t%2?l(Object(a),!0).forEach((function(t){o(e,t,a[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(a)):l(Object(a)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(a,t))}))}return e}function c(e,t){if(null==e)return{};var a,n,r=function(e,t){if(null==e)return{};var a,n,r={},o=Object.keys(e);for(n=0;n<o.length;n++)a=o[n],t.indexOf(a)>=0||(r[a]=e[a]);return r}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)a=o[n],t.indexOf(a)>=0||Object.prototype.propertyIsEnumerable.call(e,a)&&(r[a]=e[a])}return r}var i=r.a.createContext({}),m=function(e){var t=r.a.useContext(i),a=t;return e&&(a="function"==typeof e?e(t):s(s({},t),e)),a},p=function(e){var t=m(e.components);return r.a.createElement(i.Provider,{value:t},e.children)},u={inlineCode:"code",wrapper:function(e){var t=e.children;return r.a.createElement(r.a.Fragment,{},t)}},d=r.a.forwardRef((function(e,t){var a=e.components,n=e.mdxType,o=e.originalType,l=e.parentName,i=c(e,["components","mdxType","originalType","parentName"]),p=m(a),d=n,y=p["".concat(l,".").concat(d)]||p[d]||u[d]||o;return a?r.a.createElement(y,s(s({ref:t},i),{},{components:a})):r.a.createElement(y,s({ref:t},i))}));function y(e,t){var a=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=a.length,l=new Array(o);l[0]=d;var s={};for(var c in t)hasOwnProperty.call(t,c)&&(s[c]=t[c]);s.originalType=e,s.mdxType="string"==typeof e?e:n,l[1]=s;for(var i=2;i<o;i++)l[i]=a[i];return r.a.createElement.apply(null,l)}return r.a.createElement.apply(null,a)}d.displayName="MDXCreateElement"},155:function(e,t,a){"use strict";a.d(t,"a",(function(){return i}));var n=a(0),r=a.n(n),o=a(143),l=a(150),s=a(57),c=a.n(s);function i({sidebar:e}){return 0===e.items.length?null:r.a.createElement("div",{className:Object(o.a)(c.a.sidebar,"thin-scrollbar")},r.a.createElement("h3",{className:c.a.sidebarItemTitle},e.title),r.a.createElement("ul",{className:c.a.sidebarItemList},e.items.map((e=>r.a.createElement("li",{key:e.permalink,className:c.a.sidebarItem},r.a.createElement(l.a,{isNavLink:!0,to:e.permalink,className:c.a.sidebarItemLink,activeClassName:c.a.sidebarItemLinkActive},e.title))))))}},162:function(e,t){function a(e){let t,a=[];for(let n of e.split(",").map((e=>e.trim())))if(/^-?\d+$/.test(n))a.push(parseInt(n,10));else if(t=n.match(/^(-?\d+)(-|\.\.\.?|\u2025|\u2026|\u22EF)(-?\d+)$/)){let[e,n,r,o]=t;if(n&&o){n=parseInt(n),o=parseInt(o);const e=n<o?1:-1;"-"!==r&&".."!==r&&"\u2025"!==r||(o+=e);for(let t=n;t!==o;t+=e)a.push(t)}}return a}t.default=a,e.exports=a},163:function(e,t,a){"use strict";var n=a(0),r=a.n(n),o=a(143),l=a(140),s=a(149),c=a(150),i=a(167),m=a(161),p=a(96),u=a.n(p),d=a(148);t.a=function(e){const t=function(){const{selectMessage:e}=Object(d.usePluralForm)();return t=>{const a=Math.ceil(t);return e(a,Object(s.b)({id:"theme.blog.post.readingTime.plurals",description:'Pluralized label for "{readingTime} min read". Use as much plural forms (separated by "|") as your language support (see https://www.unicode.org/cldr/cldr-aux/charts/34/supplemental/language_plural_rules.html)',message:"One min read|{readingTime} min read"},{readingTime:a}))}}(),{children:a,frontMatter:n,metadata:p,truncated:y,isBlogPostPage:g=!1}=e,{date:h,formattedDate:f,permalink:b,tags:v,readingTime:k}=p,{author:E,title:j,image:O,keywords:N}=n,T=n.author_url||n.authorURL,w=n.author_title||n.authorTitle,x=n.author_image_url||n.authorImageURL;return r.a.createElement(r.a.Fragment,null,r.a.createElement(m.a,{keywords:N,image:O}),r.a.createElement("article",{className:g?void 0:"margin-bottom--xl"},(()=>{const e=g?"h1":"h2";return r.a.createElement("header",null,r.a.createElement(e,{className:Object(o.a)("margin-bottom--sm",u.a.blogPostTitle)},g?j:r.a.createElement(c.a,{to:b},j)),r.a.createElement("div",{className:"margin-vert--md"},r.a.createElement("time",{dateTime:h,className:u.a.blogPostDate},f,k&&r.a.createElement(r.a.Fragment,null," \xb7 ",t(k)))),r.a.createElement("div",{className:"avatar margin-vert--md"},x&&r.a.createElement(c.a,{className:"avatar__photo-link avatar__photo",href:T},r.a.createElement("img",{src:x,alt:E})),r.a.createElement("div",{className:"avatar__intro"},E&&r.a.createElement(r.a.Fragment,null,r.a.createElement("h4",{className:"avatar__name"},r.a.createElement(c.a,{href:T},E)),r.a.createElement("small",{className:"avatar__subtitle"},w)))))})(),r.a.createElement("div",{className:"markdown"},r.a.createElement(l.a,{components:i.a},a)),(v.length>0||y)&&r.a.createElement("footer",{className:"row margin-vert--lg"},v.length>0&&r.a.createElement("div",{className:"col"},r.a.createElement("strong",null,r.a.createElement(s.a,{id:"theme.tags.tagsListLabel",description:"The label alongside a tag list"},"Tags:")),v.map((({label:e,permalink:t})=>r.a.createElement(c.a,{key:t,className:"margin-horiz--sm",to:t},e)))),y&&r.a.createElement("div",{className:"col text--right"},r.a.createElement(c.a,{to:p.permalink,"aria-label":`Read more about ${j}`},r.a.createElement("strong",null,r.a.createElement(s.a,{id:"theme.blog.post.readMore",description:"The label used in blog post item excerpts to link to full blog posts"},"Read More")))))))}},167:function(e,t,a){"use strict";var n=a(0),r=a.n(n),o=a(150),l=a(3),s=a(143),c={plain:{backgroundColor:"#2a2734",color:"#9a86fd"},styles:[{types:["comment","prolog","doctype","cdata","punctuation"],style:{color:"#6c6783"}},{types:["namespace"],style:{opacity:.7}},{types:["tag","operator","number"],style:{color:"#e09142"}},{types:["property","function"],style:{color:"#9a86fd"}},{types:["tag-id","selector","atrule-id"],style:{color:"#eeebff"}},{types:["attr-name"],style:{color:"#c4b9fe"}},{types:["boolean","string","entity","url","attr-value","keyword","control","directive","unit","statement","regex","at-rule","placeholder","variable"],style:{color:"#ffcc99"}},{types:["deleted"],style:{textDecorationLine:"line-through"}},{types:["inserted"],style:{textDecorationLine:"underline"}},{types:["italic"],style:{fontStyle:"italic"}},{types:["important","bold"],style:{fontWeight:"bold"}},{types:["important"],style:{color:"#c4b9fe"}}]},i={Prism:a(24).a,theme:c};function m(e,t,a){return t in e?Object.defineProperty(e,t,{value:a,enumerable:!0,configurable:!0,writable:!0}):e[t]=a,e}function p(){return(p=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var a=arguments[t];for(var n in a)Object.prototype.hasOwnProperty.call(a,n)&&(e[n]=a[n])}return e}).apply(this,arguments)}var u=/\r\n|\r|\n/,d=function(e){0===e.length?e.push({types:["plain"],content:"\n",empty:!0}):1===e.length&&""===e[0].content&&(e[0].content="\n",e[0].empty=!0)},y=function(e,t){var a=e.length;return a>0&&e[a-1]===t?e:e.concat(t)},g=function(e,t){var a=e.plain,n=Object.create(null),r=e.styles.reduce((function(e,a){var n=a.languages,r=a.style;return n&&!n.includes(t)||a.types.forEach((function(t){var a=p({},e[t],r);e[t]=a})),e}),n);return r.root=a,r.plain=p({},a,{backgroundColor:null}),r};function h(e,t){var a={};for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&-1===t.indexOf(n)&&(a[n]=e[n]);return a}var f=function(e){function t(){for(var t=this,a=[],n=arguments.length;n--;)a[n]=arguments[n];e.apply(this,a),m(this,"getThemeDict",(function(e){if(void 0!==t.themeDict&&e.theme===t.prevTheme&&e.language===t.prevLanguage)return t.themeDict;t.prevTheme=e.theme,t.prevLanguage=e.language;var a=e.theme?g(e.theme,e.language):void 0;return t.themeDict=a})),m(this,"getLineProps",(function(e){var a=e.key,n=e.className,r=e.style,o=p({},h(e,["key","className","style","line"]),{className:"token-line",style:void 0,key:void 0}),l=t.getThemeDict(t.props);return void 0!==l&&(o.style=l.plain),void 0!==r&&(o.style=void 0!==o.style?p({},o.style,r):r),void 0!==a&&(o.key=a),n&&(o.className+=" "+n),o})),m(this,"getStyleForToken",(function(e){var a=e.types,n=e.empty,r=a.length,o=t.getThemeDict(t.props);if(void 0!==o){if(1===r&&"plain"===a[0])return n?{display:"inline-block"}:void 0;if(1===r&&!n)return o[a[0]];var l=n?{display:"inline-block"}:{},s=a.map((function(e){return o[e]}));return Object.assign.apply(Object,[l].concat(s))}})),m(this,"getTokenProps",(function(e){var a=e.key,n=e.className,r=e.style,o=e.token,l=p({},h(e,["key","className","style","token"]),{className:"token "+o.types.join(" "),children:o.content,style:t.getStyleForToken(o),key:void 0});return void 0!==r&&(l.style=void 0!==l.style?p({},l.style,r):r),void 0!==a&&(l.key=a),n&&(l.className+=" "+n),l})),m(this,"tokenize",(function(e,t,a,n){var r={code:t,grammar:a,language:n,tokens:[]};e.hooks.run("before-tokenize",r);var o=r.tokens=e.tokenize(r.code,r.grammar,r.language);return e.hooks.run("after-tokenize",r),o}))}return e&&(t.__proto__=e),t.prototype=Object.create(e&&e.prototype),t.prototype.constructor=t,t.prototype.render=function(){var e=this.props,t=e.Prism,a=e.language,n=e.code,r=e.children,o=this.getThemeDict(this.props),l=t.languages[a];return r({tokens:function(e){for(var t=[[]],a=[e],n=[0],r=[e.length],o=0,l=0,s=[],c=[s];l>-1;){for(;(o=n[l]++)<r[l];){var i=void 0,m=t[l],p=a[l][o];if("string"==typeof p?(m=l>0?m:["plain"],i=p):(m=y(m,p.type),p.alias&&(m=y(m,p.alias)),i=p.content),"string"==typeof i){var g=i.split(u),h=g.length;s.push({types:m,content:g[0]});for(var f=1;f<h;f++)d(s),c.push(s=[]),s.push({types:m,content:g[f]})}else l++,t.push(m),a.push(i),n.push(0),r.push(i.length)}l--,t.pop(),a.pop(),n.pop(),r.pop()}return d(s),c}(void 0!==l?this.tokenize(t,n,l,a):[n]),className:"prism-code language-"+a,style:void 0!==o?o.root:{},getLineProps:this.getLineProps,getTokenProps:this.getTokenProps})},t}(n.Component);var b=a(162),v=a.n(b),k={plain:{color:"#bfc7d5",backgroundColor:"#292d3e"},styles:[{types:["comment"],style:{color:"rgb(105, 112, 152)",fontStyle:"italic"}},{types:["string","inserted"],style:{color:"rgb(195, 232, 141)"}},{types:["number"],style:{color:"rgb(247, 140, 108)"}},{types:["builtin","char","constant","function"],style:{color:"rgb(130, 170, 255)"}},{types:["punctuation","selector"],style:{color:"rgb(199, 146, 234)"}},{types:["variable"],style:{color:"rgb(191, 199, 213)"}},{types:["class-name","attr-name"],style:{color:"rgb(255, 203, 107)"}},{types:["tag","deleted"],style:{color:"rgb(255, 85, 114)"}},{types:["operator"],style:{color:"rgb(137, 221, 255)"}},{types:["boolean"],style:{color:"rgb(255, 88, 116)"}},{types:["keyword"],style:{fontStyle:"italic"}},{types:["doctype"],style:{color:"rgb(199, 146, 234)",fontStyle:"italic"}},{types:["namespace"],style:{color:"rgb(178, 204, 214)"}},{types:["url"],style:{color:"rgb(221, 221, 221)"}}]},E=a(157),j=a(148);var O=()=>{const{prism:e}=Object(j.useThemeConfig)(),{isDarkTheme:t}=Object(E.a)(),a=e.theme||k,n=e.darkTheme||a;return t?n:a},N=a(149),T=a(60),w=a.n(T);const x=/{([\d,-]+)}/,P=(e=["js","jsBlock","jsx","python","html"])=>{const t={js:{start:"\\/\\/",end:""},jsBlock:{start:"\\/\\*",end:"\\*\\/"},jsx:{start:"\\{\\s*\\/\\*",end:"\\*\\/\\s*\\}"},python:{start:"#",end:""},html:{start:"\x3c!--",end:"--\x3e"}},a=["highlight-next-line","highlight-start","highlight-end"].join("|"),n=e.map((e=>`(?:${t[e].start}\\s*(${a})\\s*${t[e].end})`)).join("|");return new RegExp(`^\\s*(?:${n})\\s*$`)},C=/(?:title=")(.*)(?:")/;function L({children:e,className:t,metastring:a}){const{prism:o}=Object(j.useThemeConfig)(),[c,m]=Object(n.useState)(!1),[p,u]=Object(n.useState)(!1);Object(n.useEffect)((()=>{u(!0)}),[]);const d=Object(n.useRef)(null);let y=[],g="";const h=O(),b=Array.isArray(e)?e.join(""):e;if(a&&x.test(a)){const e=a.match(x)[1];y=v()(e).filter((e=>e>0))}a&&C.test(a)&&(g=a.match(C)[1]);let k=t&&t.replace(/language-/,"");!k&&o.defaultLanguage&&(k=o.defaultLanguage);let E=b.replace(/\n$/,"");if(0===y.length&&void 0!==k){let e="";const t=(e=>{switch(e){case"js":case"javascript":case"ts":case"typescript":return P(["js","jsBlock"]);case"jsx":case"tsx":return P(["js","jsBlock","jsx"]);case"html":return P(["js","jsBlock","html"]);case"python":case"py":return P(["python"]);default:return P()}})(k),a=b.replace(/\n$/,"").split("\n");let n;for(let r=0;r<a.length;){const o=r+1,l=a[r].match(t);if(null!==l){switch(l.slice(1).reduce(((e,t)=>e||t),void 0)){case"highlight-next-line":e+=`${o},`;break;case"highlight-start":n=o;break;case"highlight-end":e+=`${n}-${o-1},`}a.splice(r,1)}else r+=1}y=v()(e),E=a.join("\n")}const T=()=>{!function(e,{target:t=document.body}={}){const a=document.createElement("textarea"),n=document.activeElement;a.value=e,a.setAttribute("readonly",""),a.style.contain="strict",a.style.position="absolute",a.style.left="-9999px",a.style.fontSize="12pt";const r=document.getSelection();let o=!1;r.rangeCount>0&&(o=r.getRangeAt(0)),t.append(a),a.select(),a.selectionStart=0,a.selectionEnd=e.length;let l=!1;try{l=document.execCommand("copy")}catch{}a.remove(),o&&(r.removeAllRanges(),r.addRange(o)),n&&n.focus()}(E),m(!0),setTimeout((()=>m(!1)),2e3)};return r.a.createElement(f,Object(l.a)({},i,{key:String(p),theme:h,code:E,language:k}),(({className:e,style:t,tokens:a,getLineProps:n,getTokenProps:o})=>r.a.createElement("div",{className:w.a.codeBlockContainer},g&&r.a.createElement("div",{style:t,className:w.a.codeBlockTitle},g),r.a.createElement("div",{className:Object(s.a)(w.a.codeBlockContent,k)},r.a.createElement("div",{tabIndex:0,className:Object(s.a)(e,w.a.codeBlock,"thin-scrollbar",{[w.a.codeBlockWithTitle]:g})},r.a.createElement("div",{className:w.a.codeBlockLines,style:t},a.map(((e,t)=>{1===e.length&&""===e[0].content&&(e[0].content="\n");const a=n({line:e,key:t});return y.includes(t+1)&&(a.className=`${a.className} docusaurus-highlight-code-line`),r.a.createElement("div",Object(l.a)({key:t},a),e.map(((e,t)=>r.a.createElement("span",Object(l.a)({key:t},o({token:e,key:t}))))))})))),r.a.createElement("button",{ref:d,type:"button","aria-label":Object(N.b)({id:"theme.CodeBlock.copyButtonAriaLabel",message:"Copy code to clipboard",description:"The ARIA label for copy code blocks button"}),className:Object(s.a)(w.a.copyButton),onClick:T},c?r.a.createElement(N.a,{id:"theme.CodeBlock.copied",description:"The copied button label on code blocks"},"Copied"):r.a.createElement(N.a,{id:"theme.CodeBlock.copy",description:"The copy button label on code blocks"},"Copy"))))))}a(61);var _=a(62),D=a.n(_);var B=e=>function({id:t,...a}){const{navbar:{hideOnScroll:n}}=Object(j.useThemeConfig)();return t?r.a.createElement(e,a,r.a.createElement("a",{"aria-hidden":"true",tabIndex:-1,className:Object(s.a)("anchor",{[D.a.enhancedAnchor]:!n}),id:t}),a.children,r.a.createElement("a",{className:"hash-link",href:`#${t}`,title:Object(N.b)({id:"theme.common.headingLinkTitle",message:"Direct link to heading",description:"Title for link to heading"})},"#")):r.a.createElement(e,a)};const S={code:e=>{const{children:t}=e;return"string"==typeof t?t.includes("\n")?r.a.createElement(L,e):r.a.createElement("code",e):t},a:e=>r.a.createElement(o.a,e),pre:e=>{const{children:t}=e;return r.a.createElement(L,null==t?void 0:t.props)},h1:B("h1"),h2:B("h2"),h3:B("h3"),h4:B("h4"),h5:B("h5"),h6:B("h6")};t.a=S}}]);
\ No newline at end of file
diff --git a/docs/assets/js/38defb3b.4fa679c6.js b/docs/assets/js/38defb3b.4fa679c6.js
new file mode 100644
index 0000000..27ef20b
--- /dev/null
+++ b/docs/assets/js/38defb3b.4fa679c6.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[14],{140:function(e,t,n){"use strict";n.d(t,"a",(function(){return p})),n.d(t,"b",(function(){return f}));var r=n(0),o=n.n(r);function a(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function i(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,r)}return n}function c(e){for(var t=1;t<arguments.length;t++){var n=null!=arguments[t]?arguments[t]:{};t%2?i(Object(n),!0).forEach((function(t){a(e,t,n[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(n)):i(Object(n)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(n,t))}))}return e}function u(e,t){if(null==e)return{};var n,r,o=function(e,t){if(null==e)return{};var n,r,o={},a=Object.keys(e);for(r=0;r<a.length;r++)n=a[r],t.indexOf(n)>=0||(o[n]=e[n]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(r=0;r<a.length;r++)n=a[r],t.indexOf(n)>=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(o[n]=e[n])}return o}var s=o.a.createContext({}),l=function(e){var t=o.a.useContext(s),n=t;return e&&(n="function"==typeof e?e(t):c(c({},t),e)),n},p=function(e){var t=l(e.components);return o.a.createElement(s.Provider,{value:t},e.children)},d={inlineCode:"code",wrapper:function(e){var t=e.children;return o.a.createElement(o.a.Fragment,{},t)}},m=o.a.forwardRef((function(e,t){var n=e.components,r=e.mdxType,a=e.originalType,i=e.parentName,s=u(e,["components","mdxType","originalType","parentName"]),p=l(n),m=r,f=p["".concat(i,".").concat(m)]||p[m]||d[m]||a;return n?o.a.createElement(f,c(c({ref:t},s),{},{components:n})):o.a.createElement(f,c({ref:t},s))}));function f(e,t){var n=arguments,r=t&&t.mdxType;if("string"==typeof e||r){var a=n.length,i=new Array(a);i[0]=m;var c={};for(var u in t)hasOwnProperty.call(t,u)&&(c[u]=t[u]);c.originalType=e,c.mdxType="string"==typeof e?e:r,i[1]=c;for(var s=2;s<a;s++)i[s]=n[s];return o.a.createElement.apply(null,i)}return o.a.createElement.apply(null,n)}m.displayName="MDXCreateElement"},141:function(e,t,n){"use strict";n.d(t,"b",(function(){return a})),n.d(t,"a",(function(){return i}));var r=n(16),o=n(142);function a(){const{siteConfig:{baseUrl:e="/",url:t}={}}=Object(r.default)();return{withBaseUrl:(n,r)=>function(e,t,n,{forcePrependBaseUrl:r=!1,absolute:a=!1}={}){if(!n)return n;if(n.startsWith("#"))return n;if(Object(o.b)(n))return n;if(r)return t+n;const i=n.startsWith(t)?n:t+n.replace(/^\//,"");return a?e+i:i}(t,e,n,r)}}function i(e,t={}){const{withBaseUrl:n}=a();return n(e,t)}},142:function(e,t,n){"use strict";function r(e){return!0===/^(\w*:|\/\/)/.test(e)}function o(e){return void 0!==e&&!r(e)}n.d(t,"b",(function(){return r})),n.d(t,"a",(function(){return o}))},86:function(e,t,n){"use strict";n.r(t),n.d(t,"frontMatter",(function(){return c})),n.d(t,"metadata",(function(){return u})),n.d(t,"toc",(function(){return s})),n.d(t,"default",(function(){return p}));var r=n(3),o=n(7),a=(n(0),n(140)),i=n(141),c={id:"multiplier",title:"Multiplicador",sidebar_label:"Multiplicador"},u={unversionedId:"multiplier",id:"multiplier",isDocsHomePage:!1,title:"Multiplicador",description:"Esse elemento \xe9 bastante simples e cumpre com a fun\xe7\xe3o matem\xe1ticas de seu nome.",source:"@site/docs/multiplier.md",slug:"/multiplier",permalink:"/PSP/docs/multiplier",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/multiplier.md",version:"current",sidebar_label:"Multiplicador",sidebar:"docs",previous:{title:"Somador",permalink:"/PSP/docs/sum"},next:{title:"Divisor",permalink:"/PSP/docs/divider"}},s=[],l={toc:s};function p(e){var t=e.components,n=Object(o.a)(e,["components"]);return Object(a.b)("wrapper",Object(r.a)({},l,n,{components:t,mdxType:"MDXLayout"}),Object(a.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(a.b)("p",null,"Esse elemento \xe9 bastante simples e cumpre com a fun\xe7\xe3o matem\xe1ticas de seu nome."),Object(a.b)("p",null,"Possui duas entradas de valores reais e sua sa\xedda \xe9 computada na sequ\xeancia do n\xf3 superior pelo inferior, ou seja, a sa\xedda ser\xe1 o valor presente no n\xf3 1 multiplicado pelo n\xf3 2."),Object(a.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(a.b)("div",{parentName:"div",className:"admonition-heading"},Object(a.b)("h5",{parentName:"div"},Object(a.b)("span",{parentName:"h5",className:"admonition-icon"},Object(a.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(a.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(a.b)("div",{parentName:"div",className:"admonition-content"},Object(a.b)("p",{parentName:"div"},"N\xf3s n\xe3o conectados no multiplicador s\xe3o assumidos com o valor unit\xe1rio e para o divisor \xe9 considerado valor nulo."))))}p.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/3b8c55ea.b9168b44.js b/docs/assets/js/3b8c55ea.b9168b44.js
new file mode 100644
index 0000000..4350b23
--- /dev/null
+++ b/docs/assets/js/3b8c55ea.b9168b44.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[15],{140:function(e,a,t){"use strict";t.d(a,"a",(function(){return d})),t.d(a,"b",(function(){return u}));var n=t(0),r=t.n(n);function o(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function i(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);a&&(n=n.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,n)}return t}function s(e){for(var a=1;a<arguments.length;a++){var t=null!=arguments[a]?arguments[a]:{};a%2?i(Object(t),!0).forEach((function(a){o(e,a,t[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):i(Object(t)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(t,a))}))}return e}function c(e,a){if(null==e)return{};var t,n,r=function(e,a){if(null==e)return{};var t,n,r={},o=Object.keys(e);for(n=0;n<o.length;n++)t=o[n],a.indexOf(t)>=0||(r[t]=e[t]);return r}(e,a);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)t=o[n],a.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(r[t]=e[t])}return r}var l=r.a.createContext({}),b=function(e){var a=r.a.useContext(l),t=a;return e&&(t="function"==typeof e?e(a):s(s({},a),e)),t},d=function(e){var a=b(e.components);return r.a.createElement(l.Provider,{value:a},e.children)},m={inlineCode:"code",wrapper:function(e){var a=e.children;return r.a.createElement(r.a.Fragment,{},a)}},p=r.a.forwardRef((function(e,a){var t=e.components,n=e.mdxType,o=e.originalType,i=e.parentName,l=c(e,["components","mdxType","originalType","parentName"]),d=b(t),p=n,u=d["".concat(i,".").concat(p)]||d[p]||m[p]||o;return t?r.a.createElement(u,s(s({ref:a},l),{},{components:t})):r.a.createElement(u,s({ref:a},l))}));function u(e,a){var t=arguments,n=a&&a.mdxType;if("string"==typeof e||n){var o=t.length,i=new Array(o);i[0]=p;var s={};for(var c in a)hasOwnProperty.call(a,c)&&(s[c]=a[c]);s.originalType=e,s.mdxType="string"==typeof e?e:n,i[1]=s;for(var l=2;l<o;l++)i[l]=t[l];return r.a.createElement.apply(null,i)}return r.a.createElement.apply(null,t)}p.displayName="MDXCreateElement"},141:function(e,a,t){"use strict";t.d(a,"b",(function(){return o})),t.d(a,"a",(function(){return i}));var n=t(16),r=t(142);function o(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(n.default)();return{withBaseUrl:(t,n)=>function(e,a,t,{forcePrependBaseUrl:n=!1,absolute:o=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(r.b)(t))return t;if(n)return a+t;const i=t.startsWith(a)?t:a+t.replace(/^\//,"");return o?e+i:i}(a,e,t,n)}}function i(e,a={}){const{withBaseUrl:t}=o();return t(e,a)}},142:function(e,a,t){"use strict";function n(e){return!0===/^(\w*:|\/\/)/.test(e)}function r(e){return void 0!==e&&!n(e)}t.d(a,"b",(function(){return n})),t.d(a,"a",(function(){return r}))},87:function(e,a,t){"use strict";t.r(a),t.d(a,"frontMatter",(function(){return s})),t.d(a,"metadata",(function(){return c})),t.d(a,"toc",(function(){return l})),t.d(a,"default",(function(){return d}));var n=t(3),r=t(7),o=(t(0),t(140)),i=t(141),s={id:"installation",title:"Installation",sidebar_label:"Installation"},c={unversionedId:"installation",id:"installation",isDocsHomePage:!1,title:"Installation",description:"Download",source:"@site/docs/installation.md",slug:"/installation",permalink:"/PSP/docs/installation",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/installation.md",version:"current",sidebar_label:"Installation",sidebar:"docs",previous:{title:"PSP-UFU",permalink:"/PSP/docs/"},next:{title:"Tela Principal",permalink:"/PSP/docs/mainScreen"}},l=[{value:"Download",id:"download",children:[]},{value:"Windows",id:"windows",children:[{value:"Problemas recorrentes no Windows",id:"problemas-recorrentes-no-windows",children:[]}]},{value:"Linux",id:"linux",children:[{value:"Problemas recorrentes no Linux",id:"problemas-recorrentes-no-linux",children:[]}]}],b={toc:l};function d(e){var a=e.components,t=Object(r.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},b,t,{components:a,mdxType:"MDXLayout"}),Object(o.b)("h2",{id:"download"},"Download"),Object(o.b)("p",null,"The PSP-UFU can be downloaded from the ",Object(o.b)("a",{parentName:"p",href:"https://github.com/Thales1330/PSP/releases/latest"},Object(o.b)("em",{parentName:"a"},"last release")," of the PSP-UFU repository on GitHub"),"."),Object(o.b)("p",null,"When accessing the link, scroll down the page until you find the ",Object(o.b)("em",{parentName:"p"}," Assets "),":"),Object(o.b)("div",null,Object(o.b)("center",null,Object(o.b)("img",{src:Object(i.a)("images/download.png"),alt:"Assets download",title:"Informa\xe7\xf5es da Figura"}))),Object(o.b)("p",null,"As the PSP-UFU is a multiplatform software, you must download the correct file:"),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"For the operating system ",Object(o.b)("a",{parentName:"li",href:"installation#windows"},"Windows")," download the files ",Object(o.b)("em",{parentName:"li"},".exe")," (recommended) or ",Object(o.b)("em",{parentName:"li"},".zip"),"."),Object(o.b)("li",{parentName:"ul"},"For ",Object(o.b)("a",{parentName:"li",href:"installation#linux"},"Linux")," systems based on Debian (for example, Ubuntu, Mint) ",Object(o.b)("em",{parentName:"li"},"64 bits")," download the installation package ",Object(o.b)("em",{parentName:"li"},".deb"),".")),Object(o.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Tip")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"If you are interested in contributing to PSP-UFU by building it for other operating systems (mainly macOS!) Contact us at ",Object(o.b)("a",{parentName:"p",href:"https://github.com/Thales1330/PSP/issues"},"GitHub")," or ",Object(o.b)("a",{parentName:"p",href:"https://twitter.com/PspUfu"},"Twitter"),"."))),Object(o.b)("p",null,"Na sequ\xeancia s\xe3o apresentados o passo-a-passo para instala\xe7\xe3o dos SOs ",Object(o.b)("a",{parentName:"p",href:"installation#windows"},"Windows")," e ",Object(o.b)("a",{parentName:"p",href:"installation#linux"},"Linux"),". Tamb\xe9m s\xe3o apresentadas as solu\xe7\xf5es para os erros mais recorrentes."),Object(o.b)("h2",{id:"windows"},"Windows"),Object(o.b)("p",null,"Ap\xf3s baixar o arquivo ",Object(o.b)("em",{parentName:"p"},".exe")," avance em cada passo do instalador. O execut\xe1vel ir\xe1 solicitar automaticamente a instala\xe7\xe3o do ",Object(o.b)("strong",{parentName:"p"},"Microsoft Visual C++ Redistribu\xedvel")," e, caso n\xe3o esteja instalado no seu computador, realize os procedimentos do programa."),Object(o.b)("p",null,"Caso o execut\xe1vel falhe em abrir, baixe o arquivo ",Object(o.b)("em",{parentName:"p"},".zip")," e descompacte em alguma pasta do seu sistema. Nesse caso \xe9 necess\xe1rio baixar e instalar manualmente o ",Object(o.b)("a",{parentName:"p",href:"https://aka.ms/vs/16/release/vc_redist.x86.exe"},Object(o.b)("strong",{parentName:"a"},"Microsoft Visual C++ Redistribu\xedvel 32 bits")),"."),Object(o.b)("p",null,'Ap\xf3s a conclus\xe3o da instala\xe7\xe3o abra o PSP-UFU para verificar a correta instala\xe7\xe3o. O execut\xe1vel est\xe1 presente na pasta "',Object(o.b)("em",{parentName:"p"},"<local de instala\xe7\xe3o>/PSP-UFU/bin/PSP-UFU.exe"),'".'),Object(o.b)("h3",{id:"problemas-recorrentes-no-windows"},"Problemas recorrentes no Windows"),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"Ao baixar o navegador pode ",Object(o.b)("strong",{parentName:"li"},"falsamente"),' sinalizar que \xe9 um arquivo perigoso, basta clicar em "Manter arquivo";'),Object(o.b)("li",{parentName:"ul"},'Ao abrir o instalador, novamente o Windows sinaliza que o arquivo \xe9 perigoso, basta clicar em "Executar assim mesmo";'),Object(o.b)("li",{parentName:"ul"},"Ao abrir o programa e alterar o seu idioma, uma mensagem de erro \xe9 exibida. Para resolver esse problema basta executar o PSP-UFU como administrador (clicar com bot\xe3o direito no atalho do programa e posteriormente em executar como administrador). Altere novamente o idioma e reinicie o programa;"),Object(o.b)("li",{parentName:"ul"},'Ao criar um novo projeto a tela de trabalho n\xe3o \xe9 exibida ou \xe9 exibida uma tela preta. V\xe1 nas op\xe7\xf5es gerais e altere o renderizador para "Device Context". Caso apare\xe7a uma mensagem de erro, execute o programa como administrador e repita o processo. Reinicie o programa.')),Object(o.b)("h2",{id:"linux"},"Linux"),Object(o.b)("p",null,"A instala\xe7\xe3o no sistema Linux \xe9 facilmente realizado pelo pacote de instala\xe7\xe3o autom\xe1tico ",Object(o.b)("em",{parentName:"p"},".deb"),"."),Object(o.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"Note que essa vers\xe3o para Linux est\xe1 defasada e algumas funcionalidades do programa podem n\xe3o estar presentes."),Object(o.b)("p",{parentName:"div"},"Caso queira contribuir com o projeto e construir a vers\xe3o atual no sistema Linux baseado em Debian ou em outras distribui\xe7\xf5es entre em contato pelo ",Object(o.b)("a",{parentName:"p",href:"https://github.com/Thales1330/PSP/issues"},"GitHub")," ou ",Object(o.b)("a",{parentName:"p",href:"https://twitter.com/PspUfu"},"Twitter"),"."))),Object(o.b)("h3",{id:"problemas-recorrentes-no-linux"},"Problemas recorrentes no Linux"),Object(o.b)("p",null,"Pode ser necess\xe1rio adicionar o ",Object(o.b)("a",{parentName:"p",href:"https://wiki.wxwidgets.org/Compiling_and_getting_started#Running_wxWidgets_projects"},"diret\xf3rio das bibliotecas do wxWidgets")," nas vari\xe1veis de ambiente.\nPara isso, siga ",Object(o.b)("strong",{parentName:"p"},"UM")," dos m\xe9todos apresentados abaixo:"),Object(o.b)("h4",{id:"m\xe9todo-i-recomendado"},Object(o.b)("em",{parentName:"h4"},"M\xe9todo I (recomendado)")),Object(o.b)("p",null,"Insira o seguinte comando no arquivo ",Object(o.b)("strong",{parentName:"p"},"~/.bashrc"),":"),Object(o.b)("pre",null,Object(o.b)("code",{parentName:"pre",className:"language-shell"},'echo "export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/usr/local/lib" >> ~/.bashrc\n')),Object(o.b)("h4",{id:"m\xe9todo-ii-n\xe3o-recomendado"},Object(o.b)("em",{parentName:"h4"},"M\xe9todo II (n\xe3o recomendado)")),Object(o.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"Utilizando esse m\xe9todo os passos abaixo devem ser executados ",Object(o.b)("strong",{parentName:"p"},"todas as vezes")," que voc\xea quiser abrir o PSP-UFU."))),Object(o.b)("ol",null,Object(o.b)("li",{parentName:"ol"},"Abra o terminal e acesse o diret\xf3rio onde est\xe1 instalado o PSP-UFU:")),Object(o.b)("pre",null,Object(o.b)("code",{parentName:"pre",className:"language-shell"},"cd /usr/local/bin\n")),Object(o.b)("ol",{start:2},Object(o.b)("li",{parentName:"ol"},"Insira as bibliotecas compartilhadas do wxWidgets nas vari\xe1veis de ambiente:")),Object(o.b)("pre",null,Object(o.b)("code",{parentName:"pre",className:"language-shell"},"export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/usr/local/lib\n")),Object(o.b)("ol",{start:3},Object(o.b)("li",{parentName:"ol"},"Ent\xe3o, execute o PSP-UFU na ",Object(o.b)("strong",{parentName:"li"},"mesma se\xe7\xe3o")," do terminal:")),Object(o.b)("pre",null,Object(o.b)("code",{parentName:"pre",className:"language-shell"},"./PSP-UFU\n")),Object(o.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"Verifique se o computador possui as unidades de v\xeddeo instaladas corretamente, caso contr\xe1rio, o programa n\xe3o exibir\xe1 a \xe1rea de trabalho para criar e editar diagramas de linha \xfanica ou diagramas de blocos de controle."))))}d.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/3c5f9397.69022008.js b/docs/assets/js/3c5f9397.69022008.js
new file mode 100644
index 0000000..5d4f5e1
--- /dev/null
+++ b/docs/assets/js/3c5f9397.69022008.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[16],{140:function(e,t,n){"use strict";n.d(t,"a",(function(){return d})),n.d(t,"b",(function(){return f}));var r=n(0),o=n.n(r);function a(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function s(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,r)}return n}function i(e){for(var t=1;t<arguments.length;t++){var n=null!=arguments[t]?arguments[t]:{};t%2?s(Object(n),!0).forEach((function(t){a(e,t,n[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(n)):s(Object(n)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(n,t))}))}return e}function c(e,t){if(null==e)return{};var n,r,o=function(e,t){if(null==e)return{};var n,r,o={},a=Object.keys(e);for(r=0;r<a.length;r++)n=a[r],t.indexOf(n)>=0||(o[n]=e[n]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(r=0;r<a.length;r++)n=a[r],t.indexOf(n)>=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(o[n]=e[n])}return o}var u=o.a.createContext({}),l=function(e){var t=o.a.useContext(u),n=t;return e&&(n="function"==typeof e?e(t):i(i({},t),e)),n},d=function(e){var t=l(e.components);return o.a.createElement(u.Provider,{value:t},e.children)},p={inlineCode:"code",wrapper:function(e){var t=e.children;return o.a.createElement(o.a.Fragment,{},t)}},m=o.a.forwardRef((function(e,t){var n=e.components,r=e.mdxType,a=e.originalType,s=e.parentName,u=c(e,["components","mdxType","originalType","parentName"]),d=l(n),m=r,f=d["".concat(s,".").concat(m)]||d[m]||p[m]||a;return n?o.a.createElement(f,i(i({ref:t},u),{},{components:n})):o.a.createElement(f,i({ref:t},u))}));function f(e,t){var n=arguments,r=t&&t.mdxType;if("string"==typeof e||r){var a=n.length,s=new Array(a);s[0]=m;var i={};for(var c in t)hasOwnProperty.call(t,c)&&(i[c]=t[c]);i.originalType=e,i.mdxType="string"==typeof e?e:r,s[1]=i;for(var u=2;u<a;u++)s[u]=n[u];return o.a.createElement.apply(null,s)}return o.a.createElement.apply(null,n)}m.displayName="MDXCreateElement"},141:function(e,t,n){"use strict";n.d(t,"b",(function(){return a})),n.d(t,"a",(function(){return s}));var r=n(16),o=n(142);function a(){const{siteConfig:{baseUrl:e="/",url:t}={}}=Object(r.default)();return{withBaseUrl:(n,r)=>function(e,t,n,{forcePrependBaseUrl:r=!1,absolute:a=!1}={}){if(!n)return n;if(n.startsWith("#"))return n;if(Object(o.b)(n))return n;if(r)return t+n;const s=n.startsWith(t)?n:t+n.replace(/^\//,"");return a?e+s:s}(t,e,n,r)}}function s(e,t={}){const{withBaseUrl:n}=a();return n(e,t)}},142:function(e,t,n){"use strict";function r(e){return!0===/^(\w*:|\/\/)/.test(e)}function o(e){return void 0!==e&&!r(e)}n.d(t,"b",(function(){return r})),n.d(t,"a",(function(){return o}))},88:function(e,t,n){"use strict";n.r(t),n.d(t,"frontMatter",(function(){return i})),n.d(t,"metadata",(function(){return c})),n.d(t,"toc",(function(){return u})),n.d(t,"default",(function(){return d}));var r=n(3),o=n(7),a=(n(0),n(140)),s=n(141),i={id:"const",title:"Constante",sidebar_label:"Constante"},c={unversionedId:"const",id:"const",isDocsHomePage:!1,title:"Constante",description:"As constantes s\xe3o valores num\xe9ricos reais que permanecem inalteradas em todo o per\xedodo de simula\xe7\xe3o. Esses elementos possuem somente um n\xf3 de sa\xedda, o qual poder\xe1 ser conectado a qualquer outro n\xf3 de entrada dos elementos de controle.",source:"@site/docs/const.md",slug:"/const",permalink:"/PSP/docs/const",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/const.md",version:"current",sidebar_label:"Constante",sidebar:"docs",previous:{title:"Limitador de taxa",permalink:"/PSP/docs/rateLimiter"},next:{title:"Ganho",permalink:"/PSP/docs/gain"}},u=[],l={toc:u};function d(e){var t=e.components,n=Object(o.a)(e,["components"]);return Object(a.b)("wrapper",Object(r.a)({},l,n,{components:t,mdxType:"MDXLayout"}),Object(a.b)("link",{rel:"stylesheet",href:Object(s.a)("katex/katex.min.css")}),Object(a.b)("p",null,"As constantes s\xe3o valores num\xe9ricos reais que permanecem inalteradas em todo o per\xedodo de simula\xe7\xe3o. Esses elementos possuem somente um n\xf3 de sa\xedda, o qual poder\xe1 ser conectado a qualquer outro n\xf3 de entrada dos elementos de controle."),Object(a.b)("div",{className:"admonition admonition-info alert alert--info"},Object(a.b)("div",{parentName:"div",className:"admonition-heading"},Object(a.b)("h5",{parentName:"div"},Object(a.b)("span",{parentName:"h5",className:"admonition-icon"},Object(a.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(a.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(a.b)("div",{parentName:"div",className:"admonition-content"},Object(a.b)("p",{parentName:"div"},"Esse elemento pode, por exemplo, ser utilizado para definir valores alvos ou deslocamentos de sinal."))))}d.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/419ecf13.39c3ed27.js b/docs/assets/js/419ecf13.39c3ed27.js
new file mode 100644
index 0000000..c71f903
--- /dev/null
+++ b/docs/assets/js/419ecf13.39c3ed27.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[17],{140:function(a,e,t){"use strict";t.d(e,"a",(function(){return N})),t.d(e,"b",(function(){return j}));var s=t(0),n=t.n(s);function m(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function p(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(a);e&&(s=s.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,s)}return t}function b(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?p(Object(t),!0).forEach((function(e){m(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):p(Object(t)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(t,e))}))}return a}function r(a,e){if(null==a)return{};var t,s,n=function(a,e){if(null==a)return{};var t,s,n={},m=Object.keys(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||(n[t]=a[t]);return n}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(n[t]=a[t])}return n}var c=n.a.createContext({}),l=function(a){var e=n.a.useContext(c),t=e;return a&&(t="function"==typeof a?a(e):b(b({},e),a)),t},N=function(a){var e=l(a.components);return n.a.createElement(c.Provider,{value:e},a.children)},i={inlineCode:"code",wrapper:function(a){var e=a.children;return n.a.createElement(n.a.Fragment,{},e)}},O=n.a.forwardRef((function(a,e){var t=a.components,s=a.mdxType,m=a.originalType,p=a.parentName,c=r(a,["components","mdxType","originalType","parentName"]),N=l(t),O=s,j=N["".concat(p,".").concat(O)]||N[O]||i[O]||m;return t?n.a.createElement(j,b(b({ref:e},c),{},{components:t})):n.a.createElement(j,b({ref:e},c))}));function j(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var m=t.length,p=new Array(m);p[0]=O;var b={};for(var r in e)hasOwnProperty.call(e,r)&&(b[r]=e[r]);b.originalType=a,b.mdxType="string"==typeof a?a:s,p[1]=b;for(var c=2;c<m;c++)p[c]=t[c];return n.a.createElement.apply(null,p)}return n.a.createElement.apply(null,t)}O.displayName="MDXCreateElement"},141:function(a,e,t){"use strict";t.d(e,"b",(function(){return m})),t.d(e,"a",(function(){return p}));var s=t(16),n=t(142);function m(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(s.default)();return{withBaseUrl:(t,s)=>function(a,e,t,{forcePrependBaseUrl:s=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(s)return e+t;const p=t.startsWith(e)?t:e+t.replace(/^\//,"");return m?a+p:p}(e,a,t,s)}}function p(a,e={}){const{withBaseUrl:t}=m();return t(a,e)}},142:function(a,e,t){"use strict";function s(a){return!0===/^(\w*:|\/\/)/.test(a)}function n(a){return void 0!==a&&!s(a)}t.d(e,"b",(function(){return s})),t.d(e,"a",(function(){return n}))},143:function(a,e,t){"use strict";function s(a){var e,t,n="";if("string"==typeof a||"number"==typeof a)n+=a;else if("object"==typeof a)if(Array.isArray(a))for(e=0;e<a.length;e++)a[e]&&(t=s(a[e]))&&(n&&(n+=" "),n+=t);else for(e in a)a[e]&&(n&&(n+=" "),n+=e);return n}e.a=function(){for(var a,e,t=0,n="";t<arguments.length;)(a=arguments[t++])&&(e=s(a))&&(n&&(n+=" "),n+=e);return n}},144:function(a,e,t){"use strict";var s=t(0),n=t(145);e.a=function(){const a=Object(s.useContext)(n.a);if(null==a)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return a}},145:function(a,e,t){"use strict";var s=t(0);const n=Object(s.createContext)(void 0);e.a=n},146:function(a,e,t){"use strict";var s=t(0),n=t.n(s),m=t(144),p=t(143),b=t(56),r=t.n(b);const c=37,l=39;e.a=function(a){const{lazy:e,block:t,defaultValue:b,values:N,groupId:i,className:O}=a,{tabGroupChoices:j,setTabGroupChoices:o}=Object(m.a)(),[h,d]=Object(s.useState)(b),g=s.Children.toArray(a.children),u=[];if(null!=i){const a=j[i];null!=a&&a!==h&&N.some((e=>e.value===a))&&d(a)}const v=a=>{const e=a.target,t=u.indexOf(e),s=g[t].props.value;d(s),null!=i&&(o(i,s),setTimeout((()=>{(function(a){const{top:e,left:t,bottom:s,right:n}=a.getBoundingClientRect(),{innerHeight:m,innerWidth:p}=window;return e>=0&&n<=p&&s<=m&&t>=0})(e)||(e.scrollIntoView({block:"center",behavior:"smooth"}),e.classList.add(r.a.tabItemActive),setTimeout((()=>e.classList.remove(r.a.tabItemActive)),2e3))}),150))},y=a=>{var e;let t;switch(a.keyCode){case l:const e=u.indexOf(a.target)+1;t=u[e]||u[0];break;case c:const s=u.indexOf(a.target)-1;t=u[s]||u[u.length-1]}null===(e=t)||void 0===e||e.focus()};return n.a.createElement("div",{className:"tabs-container"},n.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(p.a)("tabs",{"tabs--block":t},O)},N.map((({value:a,label:e})=>n.a.createElement("li",{role:"tab",tabIndex:h===a?0:-1,"aria-selected":h===a,className:Object(p.a)("tabs__item",r.a.tabItem,{"tabs__item--active":h===a}),key:a,ref:a=>u.push(a),onKeyDown:y,onFocus:v,onClick:v},e)))),e?Object(s.cloneElement)(g.filter((a=>a.props.value===h))[0],{className:"margin-vert--md"}):n.a.createElement("div",{className:"margin-vert--md"},g.map(((a,e)=>Object(s.cloneElement)(a,{key:e,hidden:a.props.value!==h})))))}},147:function(a,e,t){"use strict";var s=t(0),n=t.n(s);e.a=function({children:a,hidden:e,className:t}){return n.a.createElement("div",{role:"tabpanel",hidden:e,className:t},a)}},89:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return c})),t.d(e,"metadata",(function(){return l})),t.d(e,"toc",(function(){return N})),t.d(e,"default",(function(){return O}));var s=t(3),n=t(7),m=(t(0),t(140)),p=t(141),b=t(146),r=t(147),c={id:"load",title:"Carga",sidebar_label:"Carga"},l={unversionedId:"load",id:"load",isDocsHomePage:!1,title:"Carga",description:"1. a pot\xeancia ativa, reativa ou aparente gerada, transmitida ou distribu\xedda dentro de um sistema;",source:"@site/docs/load.md",slug:"/load",permalink:"/PSP/docs/load",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/load.md",version:"current",sidebar_label:"Carga",sidebar:"docs",previous:{title:"Transformador",permalink:"/PSP/docs/transformer"},next:{title:"Capacitor",permalink:"/PSP/docs/capacitor"}},N=[{value:"Carga no PSP-UFU",id:"carga-no-psp-ufu",children:[{value:"Carga no estudo de estabilidade",id:"carga-no-estudo-de-estabilidade",children:[]}]},{value:"Formul\xe1rio de edi\xe7\xe3o das cargas",id:"formul\xe1rio-de-edi\xe7\xe3o-das-cargas",children:[]}],i={toc:N};function O(a){var e=a.components,t=Object(n.a)(a,["components"]);return Object(m.b)("wrapper",Object(s.a)({},i,t,{components:e,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("blockquote",null,Object(m.b)("ol",{parentName:"blockquote"},Object(m.b)("li",{parentName:"ol"},"a pot\xeancia ativa, reativa ou aparente gerada, transmitida ou distribu\xedda dentro de um sistema;"),Object(m.b)("li",{parentName:"ol"},"a pot\xeancia demandada por um grupo de consumidores classificados de acordo com suas particularidades e caracter\xedsticas, por exemplo, carga de aquecimento, carga reativa diurna, etc. ",Object(m.b)("a",{parentName:"li",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=601-01-15"},Object(m.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),"."))),Object(m.b)("h2",{id:"carga-no-psp-ufu"},"Carga no PSP-UFU"),Object(m.b)("p",null,"As cargas s\xe3o os elementos de pot\xeancia consumidores de pot\xeancia gen\xe9ricos. Nos estudos de fluxo de carga \xe9 poss\xedvel modelar a carga como ",Object(m.b)("strong",{parentName:"p"},"pot\xeancia ou imped\xe2ncia constante")," e em estabilidade pode-se compor a carga na propor\xe7\xe3o desejada em tr\xeas tipos (",Object(m.b)("strong",{parentName:"p"},"carga ZIP"),"): pot\xeancia constante, imped\xe2ncia constante e corrente constante."),Object(m.b)("p",null,"As cargas de pot\xeancia constante nos estudos de fluxo de carga s\xe3o inseridos no vetor de pot\xeancias e permanecem fixos durante toda a simula\xe7\xe3o."),Object(m.b)("p",null,"Os elementos shunt, como reatores, banco de capacitores e cargas de imped\xe2ncia constante, s\xe3o representados simplesmente por suas admit\xe2ncias em deriva\xe7\xe3o. Como os par\xe2metros de entrada geralmente se constituem de suas pot\xeancias ativa (P) e reativa (Q) nominais (no caso de reatores e capacitores, P=0), deve-se, portanto, encontrar sua admit\xe2ncia com a equa\xe7\xe3o abaixo para inseri-la na matriz admit\xe2ncia:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mi",{parentName:"mrow"},"j"),Object(m.b)("mi",{parentName:"mrow"},"Q")),Object(m.b)("msup",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mn",{parentName:"msup"},"2")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{y} = \\frac{P-jQ}{\\dot{V}^2}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.825em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.19444em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.17052em",verticalAlign:"-0.8101900000000001em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.3603299999999998em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.18981em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.740108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.9890000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05724em"}},"j"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8101900000000001em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Para os estudos de ",Object(m.b)("strong",{parentName:"p"},"curto-circuito")," e ",Object(m.b)("strong",{parentName:"p"},"harm\xf4nicos")," as cargas s\xe3o modeladas como imped\xe2ncia constante, independentemente da sinaliza\xe7\xe3o indicada em seu formul\xe1rio de edi\xe7\xe3o de dados."))),Object(m.b)("h3",{id:"carga-no-estudo-de-estabilidade"},"Carga no estudo de estabilidade"),Object(m.b)("p",null,"A modelagem das cargas do sistema de forma exata se torna impratic\xe1vel em um problemas de estabilidade, visto \xe0 grande quantidade e variedade dos componentes envolvidos, al\xe9m de apresentar modifica\xe7\xf5es em suas composi\xe7\xf5es causado por v\xe1rios fatores, como tempo, condi\xe7\xf5es clim\xe1ticas e economia. Portanto v\xe1rias aproxima\xe7\xf5es devem ser utilizadas na formula\xe7\xe3o de um modelo de carga nos estudos aqui postos."),Object(m.b)("p",null,"Uma forma interessante de se representar cargas dependentes da tens\xe3o s\xe3o as cargas ZIP, as quais s\xe3o fun\xe7\xf5es quadr\xe1ticas, possuindo tr\xeas parcelas: imped\xe2ncia constante (Z), corrente constante (I) e pot\xeancia constante (P). As pot\xeancias ativa e reativa s\xe3o obtidas pelas seguintes equa\xe7\xf5es:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mi",{parentName:"msub"},"L")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"Z"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(m.b)("mn",{parentName:"msup"},"2")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"I"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_L=P_{Z0} \\left(\\frac{V_i}{V_{i0}} \\right)^2+P_{I0} \\left(\\frac{V_i}{V_i0} \\right)+P_{P0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.604038em",verticalAlign:"-0.95003em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"Z"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"(")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.36033em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},")"))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6540080000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.9029000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.40003em",verticalAlign:"-0.95003em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07847em"}},"I"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"(")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.36033em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},")"))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Q"),Object(m.b)("mi",{parentName:"msub"},"L")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Q"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"Z"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(m.b)("mn",{parentName:"msup"},"2")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Q"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"I"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Q"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_L=Q_{Z0} \\left(\\frac{V_i}{V_{i0}} \\right)^2+Q_{I0} \\left(\\frac{V_i}{V_i0} \\right)+Q_{P0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.604038em",verticalAlign:"-0.95003em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"Z"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"(")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.36033em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},")"))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6540080000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.9029000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.40003em",verticalAlign:"-0.95003em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07847em"}},"I"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"(")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.36033em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},")"))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("p",null,Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mi",{parentName:"msub"},"L"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_L")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Q"),Object(m.b)("mi",{parentName:"msub"},"L"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_L")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\ts\xe3o as pot\xeancias ativa e reativa da carga ZIP, respectivamente, conectadas em uma barra gen\xe9rica i;"),Object(m.b)("p",null,Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mi",{parentName:"msub"},"i"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_i")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," \xe9 a tens\xe3o atual de uma barra gen\xe9rica i;"),Object(m.b)("p",null,Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_{i0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," \xe9 a tens\xe3o inicial de uma barra gen\xe9rica i, obtida do estudo de fluxo de carga;"),Object(m.b)("p",null,Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"Z"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_{Z0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"Z"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Q"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"Z"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_{Z0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"Z"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," s\xe3o as parcelas de imped\xe2ncia constante para pot\xeancias ativa e reativa, respectivamente;"),Object(m.b)("p",null,Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"I"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_{I0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07847em"}},"I"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Q"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"I"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_{I0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07847em"}},"I"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," s\xe3o as parcelas de corrente constante para pot\xeancias ativa e reativa, respectivamente;"),Object(m.b)("p",null,Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_{P0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Q"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_{P0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," s\xe3o as parcelas de pot\xeancia constante para pot\xeancias ativa e reativa, respectivamente."),Object(m.b)("p",null,"Os valores das parcelas de pot\xeancia da carga ZIP s\xe3o obtidos utilizando as pot\xeancias da carga ap\xf3s a converg\xeancia do c\xe1lculo do fluxo de carga (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"L"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P_{L0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),", para a pot\xeancia ativa e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Q"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"L"),Object(m.b)("mn",{parentName:"mrow"},"0")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q_{L0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),", para a pot\xeancia reativa), utilizando as seguintes express\xf5es:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"Z"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mstyle",{parentName:"mrow",scriptlevel:"0",displaystyle:"true"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"k"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mi",{parentName:"mrow"},"Z"))),Object(m.b)("mn",{parentName:"mfrac"},"100")),Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"L"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("msubsup",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msubsup"},"V"),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("mn",{parentName:"msubsup"},"2")))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"I"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mstyle",{parentName:"mrow",scriptlevel:"0",displaystyle:"true"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"k"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mi",{parentName:"mrow"},"I"))),Object(m.b)("mn",{parentName:"mfrac"},"100")),Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"L"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mn",{parentName:"mrow"},"0"))))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mstyle",{parentName:"mrow",scriptlevel:"0",displaystyle:"true"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"k"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mi",{parentName:"mrow"},"P"))),Object(m.b)("mn",{parentName:"mfrac"},"100")),Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"msub"},"P"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"L"),Object(m.b)("mn",{parentName:"mrow"},"0")))))))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{cases} P_{Z0}=\\displaystyle \\frac{k_{PZ}}{100} \\frac{P_{L0}}{V_{i0}^2}\\\\ P_{I0}=\\displaystyle \\frac{k_{PI}}{100} \\frac{P_{L0}}{V_{i0}}\\\\ P_{P0}=\\displaystyle \\frac{k_{PP}}{100} P_{L0} \\end{cases}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"6.60004em",verticalAlign:"-3.05002em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.5500200000000004em"}},Object(m.b)("span",{parentName:"span",style:{top:"-0.9999899999999999em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a9"))),Object(m.b)("span",{parentName:"span",style:{top:"-0.99499em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.2899900000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.5849900000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8799900000000005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.1749900000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.2049900000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.1500100000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a8"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.29501em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.59001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.885010000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.180010000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.475010000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.50501em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.80002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a7")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.05002em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-l"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.5495919999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-5.549592em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.3714399999999998em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"Z"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03148em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"Z"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.36033em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7959080000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0448000000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.27686399999999994em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9628639999999999em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(m.b)("span",{parentName:"span",style:{top:"-3.215288em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.3714399999999998em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07847em"}},"I"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03148em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07847em"}},"I"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.36033em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8360000000000001em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(m.b)("span",{parentName:"span",style:{top:"-1.007848em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.3714399999999998em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03148em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"L"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.0495919999999996em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("p",null,"Os valores de ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"k"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mi",{parentName:"mrow"},"Z")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"k_{PZ}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.84444em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03148em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"Z"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),", ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"k"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mi",{parentName:"mrow"},"I")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"k_{PI}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.84444em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03148em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07847em"}},"I"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"k"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mi",{parentName:"mrow"},"P")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"k_{PP}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.84444em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03148em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," representam a composi\xe7\xe3o em imped\xe2ncia, corrente e pot\xeancia constantes, respectivamente, da parcela ativa da carga, os quais s\xe3o inseridos pelo usu\xe1rio na forma de porcentagem, sendo a soma desses tr\xeas valores necessariamente igual a 100%. Os par\xe2metros ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"k"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"Q"),Object(m.b)("mi",{parentName:"mrow"},"Z")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"k_{QZ}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.980548em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.328331em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03148em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"Q"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"Z"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))))),", ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"k"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"Q"),Object(m.b)("mi",{parentName:"mrow"},"I")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"k_{QI}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.980548em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.328331em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03148em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"Q"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07847em"}},"I"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"k"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"Q"),Object(m.b)("mi",{parentName:"mrow"},"P")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"k_{QP}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.980548em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.328331em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03148em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"Q"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"}))))))))))," podem ser interpretados de forma an\xe1loga, por\xe9m comp\xf5e a parcela reativa da carga."),Object(m.b)("p",null,"O comportamento das pot\xeancias, retiradas de simula\xe7\xf5es no PSP-UFU, de cada parcela que comp\xf5e a carga ZIP s\xe3o evidenciadas na figura abaixo."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/loadModel.svg"),alt:"Comportamento da carga ZIP implementada no software: (a) curva de Tens\xe3o x Pot\xeancia; (b) Curva de Tens\xe3o x Corrente",title:"Comportamento da carga ZIP implementada no software: (a) curva de Tens\xe3o x Pot\xeancia; (b) Curva de Tens\xe3o x Corrente"}))),Object(m.b)("p",null,"Cargas de corrente e pot\xeancia constantes possuem problemas em tens\xf5es muito baixas. \xc0 medida que a tens\xe3o diminui as correntes dessas cargas n\xe3o reduz, como pode ser observado na figura acima, resultando em perda de precis\xe3o e problemas na converg\xeancia de processos iterativos. Para contornar esse problema utiliza-se uma tens\xe3o pr\xe9-definida pelo usu\xe1rio (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"l"),Object(m.b)("mi",{parentName:"mrow"},"o"),Object(m.b)("mi",{parentName:"mrow"},"w")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_{low}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02691em"}},"w"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"), a qual as cargas (ou parcelas) de corrente e pot\xeancia constantes s\xe3o modeladas como imped\xe2ncia constante, resultando no comportamento de pot\xeancia e corrente apresentados na figura acima."),Object(m.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-das-cargas"},"Formul\xe1rio de edi\xe7\xe3o das cargas"),Object(m.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de inser\xe7\xe3o/altera\xe7\xe3o de dados das cargas:"),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/loadForm.png"),alt:"Formul\xe1rio das cargas no PSP-UFU",title:"Formul\xe1rio das cargas no PSP-UFU"}))),Object(m.b)("p",null,"Esse formul\xe1rio \xe9 subdividido em dois contextos distintos:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Geral"),": no qual s\xe3o inseridas informa\xe7\xf5es gerais das cargas, informa\xe7\xf5es e o tipo de carga no fluxo de carga;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Estabilidade"),": contendo op\xe7\xf5es de visualiza\xe7\xe3o de dados da carga em gr\xe1ficos no tempo e op\xe7\xf5es de parametriza\xe7\xe3o da carga ZIP.")),Object(m.b)("p",null,'Al\xe9m desses dois contextos, pode ser observado o bot\xe3o "Chaveamento" na parte inferior esquerda do formul\xe1rio. Esse formul\xe1rio, comum a v\xe1rios outros elementos, permite a inser\xe7\xe3o e/ou remo\xe7\xe3o da carga durante o estudo de ',Object(m.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/loadSw.png"),alt:"Formul\xe1rio de chaveamento da carga",title:"Formul\xe1rio de chaveamento da carga"}))),Object(m.b)(b.a,{groupId:"load-tabs",defaultValue:"general",values:[{label:"Geral",value:"general"},{label:"Estabilidade",value:"stability"},{label:"Bot\xe3o Chaveamento",value:"switching"}],mdxType:"Tabs"},Object(m.b)(r.a,{value:"general",mdxType:"TabItem"},Object(m.b)("h4",{id:"nome"},"Nome"),Object(m.b)("p",null,"Identifica\xe7\xe3o do elemento el\xe9trico. Podem ser inseridos quaisquer n\xfameros de caracteres no padr\xe3o ",Object(m.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Unicode"},"Unicode"),"."),Object(m.b)("p",null,"Todos os componentes de pot\xeancia do PSP-UFU possuem esse campo."),Object(m.b)("h4",{id:"pot\xeancia-ativa"},"Pot\xeancia ativa"),Object(m.b)("p",null,"Parcela de pot\xeancia ativa da carga. Pode ser inserido em MW, kW W ou ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))," (na base do sistema)."),Object(m.b)("h4",{id:"pot\xeancia-reativa"},"Pot\xeancia reativa"),Object(m.b)("p",null,"Parcela de pot\xeancia reativa da carga. Pode ser inserido em Mvar, kvar var ou ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))," (na base do sistema)."),Object(m.b)("h4",{id:"tipo-de-carga-fluxo-de-carga"},"Tipo de carga (fluxo de carga)"),Object(m.b)("p",null,"Tipo da carga para o estudo de fluxo de carga, podendo ser selecionado dois tipos: Pot\xeancia constante e Imped\xe2ncia constante. As cargas de pot\xeancia constantes s\xe3o inseridas nos vetores de pot\xeancia e permanecem invariantes no c\xe1lculo, enquanto que para as cargas de imped\xe2ncia constante determina-se o valor da imped\xe2ncia utilizando a pot\xeancia e tens\xe3o nominal, a qual \xe9 inserida na matriz admit\xe2ncia.")),Object(m.b)(r.a,{value:"stability",mdxType:"TabItem"},Object(m.b)("h4",{id:"imprimir-dados"},"Imprimir dados"),Object(m.b)("p",null,"Exibe os dados da carga nos gr\xe1ficos no tempo.\nOs seguintes dados s\xe3o exibidos:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},"m\xf3dulo da tens\xe3o"),Object(m.b)("li",{parentName:"ul"},"corrente"),Object(m.b)("li",{parentName:"ul"},"pot\xeancias ativa e reativa.")),Object(m.b)("h4",{id:"utilizar-composi\xe7\xe3o-de-carga-zip"},"Utilizar composi\xe7\xe3o de carga ZIP"),Object(m.b)("p",null,"Permite compor a carga ZIP para estudos de estabilidade. Caso essa op\xe7\xe3o n\xe3o esteja selecionada \xe9 usada a composi\xe7\xe3o global definida nas ",Object(m.b)("a",{parentName:"p",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o"),"."),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Por padr\xe3o, todas as cargas no PSP-UFU s\xe3o definidas como imped\xe2ncia constante no estudo de estabilidade."))),Object(m.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Caso todas as barras possu\xedrem o mesmo comportamento de carga ZIP, a parametriza\xe7\xe3o poder\xe1 ser realizada nas ",Object(m.b)("a",{parentName:"p",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o")," para todas as cargas, sem a necessidade de parametriza\xe7\xe3o individual."))),Object(m.b)("h4",{id:"composi\xe7\xe3o-de-pot\xeancia-ativa-e-reativa"},"Composi\xe7\xe3o de pot\xeancia ativa e reativa"),Object(m.b)("p",null,"Valores da composi\xe7\xe3o da carga ZIP, inseridas para pot\xeancia ativa e reativa separadamente, em porcentagem. A soma da composi\xe7\xe3o deve ser igual a 100%, caso contr\xe1rio ser\xe1 exibida uma mensagem de erro ao usu\xe1rio.")),Object(m.b)(r.a,{value:"switching",mdxType:"TabItem"},Object(m.b)("p",null,'O bot\xe3o "Chaveamento" ir\xe1 abrir um formul\xe1rio, comum a v\xe1rios outros elementos, que permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do transformador durante o estudo de ',Object(m.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(m.b)("p",null,'Nesse formul\xe1rio pode ser criada uma lista gen\xe9rica de inser\xe7\xf5es e remo\xe7\xf5es da linha no tempo, personalizada por um contexto de propriedades de chaveamento que s\xe3o editados o tipo de chaveamento (inser\xe7\xe3o ou remo\xe7\xe3o) e o instante (em segundos) do evento. Essas propriedades s\xe3o atribu\xeddas e retiradas da lista gen\xe9rica por meio dos bot\xf5es "Adicionar" e "Remover", respectivamente.'))))}O.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/45a07814.79cdce67.js b/docs/assets/js/45a07814.79cdce67.js
new file mode 100644
index 0000000..d89cee7
--- /dev/null
+++ b/docs/assets/js/45a07814.79cdce67.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[18],{140:function(e,t,a){"use strict";a.d(t,"a",(function(){return d})),a.d(t,"b",(function(){return u}));var r=a(0),n=a.n(r);function o(e,t,a){return t in e?Object.defineProperty(e,t,{value:a,enumerable:!0,configurable:!0,writable:!0}):e[t]=a,e}function i(e,t){var a=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),a.push.apply(a,r)}return a}function c(e){for(var t=1;t<arguments.length;t++){var a=null!=arguments[t]?arguments[t]:{};t%2?i(Object(a),!0).forEach((function(t){o(e,t,a[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(a)):i(Object(a)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(a,t))}))}return e}function b(e,t){if(null==e)return{};var a,r,n=function(e,t){if(null==e)return{};var a,r,n={},o=Object.keys(e);for(r=0;r<o.length;r++)a=o[r],t.indexOf(a)>=0||(n[a]=e[a]);return n}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(r=0;r<o.length;r++)a=o[r],t.indexOf(a)>=0||Object.prototype.propertyIsEnumerable.call(e,a)&&(n[a]=e[a])}return n}var l=n.a.createContext({}),s=function(e){var t=n.a.useContext(l),a=t;return e&&(a="function"==typeof e?e(t):c(c({},t),e)),a},d=function(e){var t=s(e.components);return n.a.createElement(l.Provider,{value:t},e.children)},m={inlineCode:"code",wrapper:function(e){var t=e.children;return n.a.createElement(n.a.Fragment,{},t)}},p=n.a.forwardRef((function(e,t){var a=e.components,r=e.mdxType,o=e.originalType,i=e.parentName,l=b(e,["components","mdxType","originalType","parentName"]),d=s(a),p=r,u=d["".concat(i,".").concat(p)]||d[p]||m[p]||o;return a?n.a.createElement(u,c(c({ref:t},l),{},{components:a})):n.a.createElement(u,c({ref:t},l))}));function u(e,t){var a=arguments,r=t&&t.mdxType;if("string"==typeof e||r){var o=a.length,i=new Array(o);i[0]=p;var c={};for(var b in t)hasOwnProperty.call(t,b)&&(c[b]=t[b]);c.originalType=e,c.mdxType="string"==typeof e?e:r,i[1]=c;for(var l=2;l<o;l++)i[l]=a[l];return n.a.createElement.apply(null,i)}return n.a.createElement.apply(null,a)}p.displayName="MDXCreateElement"},141:function(e,t,a){"use strict";a.d(t,"b",(function(){return o})),a.d(t,"a",(function(){return i}));var r=a(16),n=a(142);function o(){const{siteConfig:{baseUrl:e="/",url:t}={}}=Object(r.default)();return{withBaseUrl:(a,r)=>function(e,t,a,{forcePrependBaseUrl:r=!1,absolute:o=!1}={}){if(!a)return a;if(a.startsWith("#"))return a;if(Object(n.b)(a))return a;if(r)return t+a;const i=a.startsWith(t)?a:t+a.replace(/^\//,"");return o?e+i:i}(t,e,a,r)}}function i(e,t={}){const{withBaseUrl:a}=o();return a(e,t)}},142:function(e,t,a){"use strict";function r(e){return!0===/^(\w*:|\/\/)/.test(e)}function n(e){return void 0!==e&&!r(e)}a.d(t,"b",(function(){return r})),a.d(t,"a",(function(){return n}))},90:function(e,t,a){"use strict";a.r(t),a.d(t,"frontMatter",(function(){return c})),a.d(t,"metadata",(function(){return b})),a.d(t,"toc",(function(){return l})),a.d(t,"default",(function(){return d}));var r=a(3),n=a(7),o=(a(0),a(140)),i=a(141),c={id:"powerEditor",title:"Editor de Pot\xeancia",sidebar_label:"Editor de Pot\xeancia"},b={unversionedId:"powerEditor",id:"powerEditor",isDocsHomePage:!1,title:"Editor de Pot\xeancia",description:"O Editor de Elementos de Pot\xeancia no PSP-UFU permite a inser\xe7\xe3o, manipula\xe7\xe3o e edi\xe7\xe3o de elementos el\xe9tricos de pot\xeancia por meio de um diagrama unifilar.",source:"@site/docs/powerEditor.md",slug:"/powerEditor",permalink:"/PSP/docs/powerEditor",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/powerEditor.md",version:"current",sidebar_label:"Editor de Pot\xeancia",sidebar:"docs",previous:{title:"Ferramentas CAD",permalink:"/PSP/docs/cadTools"},next:{title:"Barramento",permalink:"/PSP/docs/bus"}},l=[{value:"Novo projeto",id:"novo-projeto",children:[]},{value:"Inserindo elementos",id:"inserindo-elementos",children:[{value:"Teclas de atalho",id:"teclas-de-atalho",children:[]}]},{value:"Editando dados el\xe9tricos",id:"editando-dados-el\xe9tricos",children:[]}],s={toc:l};function d(e){var t=e.components,a=Object(n.a)(e,["components"]);return Object(o.b)("wrapper",Object(r.a)({},s,a,{components:t,mdxType:"MDXLayout"}),Object(o.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(o.b)("p",null,"O Editor de Elementos de Pot\xeancia no PSP-UFU permite a inser\xe7\xe3o, manipula\xe7\xe3o e edi\xe7\xe3o de elementos el\xe9tricos de pot\xeancia por meio de um diagrama unifilar."),Object(o.b)("blockquote",null,Object(o.b)("p",{parentName:"blockquote"},"(",Object(o.b)("strong",{parentName:"p"},"Diagrama unifilar"),") Um diagrama do sistema no qual as linhas polif\xe1sicas s\xe3o representados por sua \xfanica linha equivalente. ",Object(o.b)("a",{parentName:"p",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=601-02-04"},Object(o.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),".")),Object(o.b)("div",{className:"admonition admonition-info alert alert--info"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"Todos os elementos inseridos pode ser manipulados e editados utilizando as ",Object(o.b)("a",{parentName:"p",href:"cadTools"},"Ferramentas CAD"),"."))),Object(o.b)("h2",{id:"novo-projeto"},"Novo projeto"),Object(o.b)("p",null,"A cria\xe7\xe3o de um novo projeto \xe9 realizada clicando no item ",Object(o.b)("strong",{parentName:"p"},"Novo projeto")," no ",Object(o.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"submenu ",Object(o.b)("strong",{parentName:"a"},"Arquivo")),". Essa a\xe7\xe3o cria um sistema em branco na \xe1rea de trabalho, local onde \xe9 poss\xedvel inserir os elementos el\xe9tricos por meio do ",Object(o.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"submenu ",Object(o.b)("strong",{parentName:"a"},"Ferramentas"))," ou pelas ",Object(o.b)("a",{parentName:"p",href:"powerEditor#teclas-de-atalho"},"teclas de atalho"),"."),Object(o.b)("p",null,"Abaixo s\xe3o apresentados os elementos el\xe9tricos de pot\xeancia que podem ser inseridos no PSP-UFU:"),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},Object(o.b)("a",{parentName:"li",href:"bus"},"Barramento")),Object(o.b)("li",{parentName:"ul"},"Elementos de ramo",Object(o.b)("ul",{parentName:"li"},Object(o.b)("li",{parentName:"ul"},Object(o.b)("a",{parentName:"li",href:"line"},"Linha")),Object(o.b)("li",{parentName:"ul"},Object(o.b)("a",{parentName:"li",href:"transformer"},"Transformador")))),Object(o.b)("li",{parentName:"ul"},"Elementos Shunt",Object(o.b)("ul",{parentName:"li"},Object(o.b)("li",{parentName:"ul"},Object(o.b)("a",{parentName:"li",href:"load"},"Carga")),Object(o.b)("li",{parentName:"ul"},Object(o.b)("a",{parentName:"li",href:"capacitor"},"Capacitor")),Object(o.b)("li",{parentName:"ul"},Object(o.b)("a",{parentName:"li",href:"inductor"},"Indutor")),Object(o.b)("li",{parentName:"ul"},Object(o.b)("a",{parentName:"li",href:"harmSource"},"Fonte de Corrente Harm\xf4nica")))),Object(o.b)("li",{parentName:"ul"},"M\xe1quinas",Object(o.b)("ul",{parentName:"li"},Object(o.b)("li",{parentName:"ul"},Object(o.b)("a",{parentName:"li",href:"syncGenerator"},"Gerador S\xedncrono")),Object(o.b)("li",{parentName:"ul"},Object(o.b)("a",{parentName:"li",href:"syncMotor"},"Compensador S\xedncrono")),Object(o.b)("li",{parentName:"ul"},Object(o.b)("a",{parentName:"li",href:"indMotor"},"Motor de Indu\xe7\xe3o"))))),Object(o.b)("div",null,Object(o.b)("center",null,Object(o.b)("img",{src:Object(i.a)("images/powerElements.svg"),alt:"Elementos de pot\xeancia",title:"Elementos de pot\xeancia"}))),Object(o.b)("h2",{id:"inserindo-elementos"},"Inserindo elementos"),Object(o.b)("p",null,"Por meio do submenu ",Object(o.b)("strong",{parentName:"p"},"Ferramentas")," pode-se inserir os elementos de pot\xeancia, como \xe9 apresentado na imagem abaixo."),Object(o.b)("div",null,Object(o.b)("center",null,Object(o.b)("img",{src:Object(i.a)("images/addPowerElements.png"),alt:"Adicionar elementos de pot\xeancia",title:"Adicionar elementos de pot\xeancia"}))),Object(o.b)("p",null,"No caso de inser\xe7\xe3o de um barramento, o usu\xe1rio deve apenas clicar na posi\xe7\xe3o desejada, j\xe1 para os outros componentes ser\xe1 solicitado que o usu\xe1rio selecione em uma ou duas barras, o qual o novo componente ser\xe1 conectado."),Object(o.b)("p",null,"Sempre que s\xe3o inseridos novos elementos, um formul\xe1rio de dados \xe9 exibido e pode-se editar os dados el\xe9tricos e acessar formul\xe1rios adicionais, como dados de estabilidade."),Object(o.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"O primeiro elemento que a ser inserido no projeto ",Object(o.b)("strong",{parentName:"p"},"deve")," ser um barramento. Os demais elementos el\xe9tricos devem ser conectados em uma ou mais barras."))),Object(o.b)("p",null,"Al\xe9m dos elementos de pot\xeancia pode-se inserir os elementos de ",Object(o.b)("em",{parentName:"p"},Object(o.b)("a",{parentName:"em",href:"text"},"texto vinculado")),", os quais est\xe3o associados a uma grandeza que se deseja vizualizar diretamente na ",Object(o.b)("a",{parentName:"p",href:"mainScreen#%C3%A1rea-de-trabalho"},"\xc1rea de Trabalho"),"."),Object(o.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"Ao inserir um barramento, a mesma ir\xe1 acompanhar o ponteiro do mouse at\xe9 que voc\xea clique na posi\xe7\xe3o desejada. Para os demais elementos ",Object(o.b)("strong",{parentName:"p"},"deve-se clicar em uma mais barras")," para exibir o elemento inserido."),Object(o.b)("p",{parentName:"div"},Object(o.b)("strong",{parentName:"p"},"Sempre fique atento \xe0s instru\xe7\xf5es da ",Object(o.b)("a",{parentName:"strong",href:"mainScreen#barra-de-status"},"Barra de Status"),".")))),Object(o.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(o.b)("source",{src:"/PSP/videos/timelapseBuild.mp4",type:"video/mp4"})),Object(o.b)("h3",{id:"teclas-de-atalho"},"Teclas de atalho"),Object(o.b)("p",null,"\xc9 poss\xedvel inserir todos os elementos de pot\xeancia por meio de teclas de atalho, facilitando e agilizando a cria\xe7\xe3o dos diagramas unifilares no PSP-UFU. A tabela abaixo apresenta tais atalhos:"),Object(o.b)("table",null,Object(o.b)("thead",{parentName:"table"},Object(o.b)("tr",{parentName:"thead"},Object(o.b)("th",{parentName:"tr",align:null},"Elemento"),Object(o.b)("th",{parentName:"tr",align:"center"},"Atalho"),Object(o.b)("th",{parentName:"tr",align:null},"Elemento"),Object(o.b)("th",{parentName:"tr",align:"center"},"Atalho"))),Object(o.b)("tbody",{parentName:"table"},Object(o.b)("tr",{parentName:"tbody"},Object(o.b)("td",{parentName:"tr",align:null},"Barramento"),Object(o.b)("td",{parentName:"tr",align:"center"},"B"),Object(o.b)("td",{parentName:"tr",align:null},"Carga"),Object(o.b)("td",{parentName:"tr",align:"center"},"Shift + L")),Object(o.b)("tr",{parentName:"tbody"},Object(o.b)("td",{parentName:"tr",align:null},"Linha"),Object(o.b)("td",{parentName:"tr",align:"center"},"L"),Object(o.b)("td",{parentName:"tr",align:null},"Capacitor"),Object(o.b)("td",{parentName:"tr",align:"center"},"Shift + C")),Object(o.b)("tr",{parentName:"tbody"},Object(o.b)("td",{parentName:"tr",align:null},"Transformador"),Object(o.b)("td",{parentName:"tr",align:"center"},"T"),Object(o.b)("td",{parentName:"tr",align:null},"Indutor"),Object(o.b)("td",{parentName:"tr",align:"center"},"Shift + I")),Object(o.b)("tr",{parentName:"tbody"},Object(o.b)("td",{parentName:"tr",align:null},"Gerador"),Object(o.b)("td",{parentName:"tr",align:"center"},"G"),Object(o.b)("td",{parentName:"tr",align:null},"Corrente harm\xf4nica"),Object(o.b)("td",{parentName:"tr",align:"center"},"Shift + H")),Object(o.b)("tr",{parentName:"tbody"},Object(o.b)("td",{parentName:"tr",align:null},"Motor de indu\xe7\xe3o"),Object(o.b)("td",{parentName:"tr",align:"center"},"I"),Object(o.b)("td",{parentName:"tr",align:null},"Texto"),Object(o.b)("td",{parentName:"tr",align:"center"},"A")),Object(o.b)("tr",{parentName:"tbody"},Object(o.b)("td",{parentName:"tr",align:null},"Compensador s\xedncrono"),Object(o.b)("td",{parentName:"tr",align:"center"},"K"),Object(o.b)("td",{parentName:"tr",align:null}),Object(o.b)("td",{parentName:"tr",align:"center"})))),Object(o.b)("h2",{id:"editando-dados-el\xe9tricos"},"Editando dados el\xe9tricos"),Object(o.b)("p",null,"Ao inserir um elemento, seu respectivo formul\xe1rio de edi\xe7\xe3o \xe9 exibido para inser\xe7\xe3o dos dados el\xe9tricos d elemento. Todos os dados podem ser ",Object(o.b)("strong",{parentName:"p"},"alterados")," ao ",Object(o.b)("strong",{parentName:"p"},"clicar duas vezes sobre o elemento")," ou por op\xe7\xe3o do ",Object(o.b)("strong",{parentName:"p"},"menu de contexto")," exibido ao clicar com o bot\xe3o direito sobre o elemento."),Object(o.b)("p",null,"Cada formul\xe1rio de edi\xe7\xe3o de dados el\xe9tricos dos elementos possuem suas particularidades e s\xe3o descritos em documenta\xe7\xe3o espec\xedfica: ",Object(o.b)("a",{parentName:"p",href:"bus"},"Barramento"),", ",Object(o.b)("a",{parentName:"p",href:"line"},"Linha"),", ",Object(o.b)("a",{parentName:"p",href:"transformer"},"Transformador"),", ",Object(o.b)("a",{parentName:"p",href:"load"},"Carga"),", ",Object(o.b)("a",{parentName:"p",href:"capacitor"},"Capacitor"),", ",Object(o.b)("a",{parentName:"p",href:"inductor"},"Indutor"),", ",Object(o.b)("a",{parentName:"p",href:"harmSource"},"Fonte de Corrente Harm\xf4nica"),", ",Object(o.b)("a",{parentName:"p",href:"syncGenerator"},"Gerador S\xedncrono"),", ",Object(o.b)("a",{parentName:"p",href:"syncMotor"},"Compensador S\xedncrono"),", ",Object(o.b)("a",{parentName:"p",href:"indMotor"},"Motor de Indu\xe7\xe3o"),"."))}d.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/4674b17c.1fa4892d.js b/docs/assets/js/4674b17c.1fa4892d.js
new file mode 100644
index 0000000..55e4272
--- /dev/null
+++ b/docs/assets/js/4674b17c.1fa4892d.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[19],{140:function(e,a,t){"use strict";t.d(a,"a",(function(){return b})),t.d(a,"b",(function(){return u}));var n=t(0),r=t.n(n);function o(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function i(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);a&&(n=n.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,n)}return t}function s(e){for(var a=1;a<arguments.length;a++){var t=null!=arguments[a]?arguments[a]:{};a%2?i(Object(t),!0).forEach((function(a){o(e,a,t[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):i(Object(t)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(t,a))}))}return e}function c(e,a){if(null==e)return{};var t,n,r=function(e,a){if(null==e)return{};var t,n,r={},o=Object.keys(e);for(n=0;n<o.length;n++)t=o[n],a.indexOf(t)>=0||(r[t]=e[t]);return r}(e,a);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)t=o[n],a.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(r[t]=e[t])}return r}var m=r.a.createContext({}),p=function(e){var a=r.a.useContext(m),t=a;return e&&(t="function"==typeof e?e(a):s(s({},a),e)),t},b=function(e){var a=p(e.components);return r.a.createElement(m.Provider,{value:a},e.children)},d={inlineCode:"code",wrapper:function(e){var a=e.children;return r.a.createElement(r.a.Fragment,{},a)}},l=r.a.forwardRef((function(e,a){var t=e.components,n=e.mdxType,o=e.originalType,i=e.parentName,m=c(e,["components","mdxType","originalType","parentName"]),b=p(t),l=n,u=b["".concat(i,".").concat(l)]||b[l]||d[l]||o;return t?r.a.createElement(u,s(s({ref:a},m),{},{components:t})):r.a.createElement(u,s({ref:a},m))}));function u(e,a){var t=arguments,n=a&&a.mdxType;if("string"==typeof e||n){var o=t.length,i=new Array(o);i[0]=l;var s={};for(var c in a)hasOwnProperty.call(a,c)&&(s[c]=a[c]);s.originalType=e,s.mdxType="string"==typeof e?e:n,i[1]=s;for(var m=2;m<o;m++)i[m]=t[m];return r.a.createElement.apply(null,i)}return r.a.createElement.apply(null,t)}l.displayName="MDXCreateElement"},141:function(e,a,t){"use strict";t.d(a,"b",(function(){return o})),t.d(a,"a",(function(){return i}));var n=t(16),r=t(142);function o(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(n.default)();return{withBaseUrl:(t,n)=>function(e,a,t,{forcePrependBaseUrl:n=!1,absolute:o=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(r.b)(t))return t;if(n)return a+t;const i=t.startsWith(a)?t:a+t.replace(/^\//,"");return o?e+i:i}(a,e,t,n)}}function i(e,a={}){const{withBaseUrl:t}=o();return t(e,a)}},142:function(e,a,t){"use strict";function n(e){return!0===/^(\w*:|\/\/)/.test(e)}function r(e){return void 0!==e&&!n(e)}t.d(a,"b",(function(){return n})),t.d(a,"a",(function(){return r}))},91:function(e,a,t){"use strict";t.r(a),t.d(a,"frontMatter",(function(){return s})),t.d(a,"metadata",(function(){return c})),t.d(a,"toc",(function(){return m})),t.d(a,"default",(function(){return b}));var n=t(3),r=t(7),o=(t(0),t(140)),i=t(141),s={id:"heatmap",title:"Mapa de Tens\xe3o",sidebar_label:"Mapa de Tens\xe3o"},c={unversionedId:"heatmap",id:"heatmap",isDocsHomePage:!1,title:"Mapa de Tens\xe3o",description:"A ferramenta Mapa de Tens\xe3o utiliza o concento de mapa de calor para exibir os valores de tens\xe3o de todas as barras do sistema por meio de cores.",source:"@site/docs/heatmap.md",slug:"/heatmap",permalink:"/PSP/docs/heatmap",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/heatmap.md",version:"current",sidebar_label:"Mapa de Tens\xe3o",sidebar:"docs",previous:{title:"Visualizador de Gr\xe1ficos",permalink:"/PSP/docs/graphViewer"}},m=[{value:"Habilitando a ferramenta Mapa de Tens\xe3o",id:"habilitando-a-ferramenta-mapa-de-tens\xe3o",children:[]}],p={toc:m};function b(e){var a=e.components,t=Object(r.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},p,t,{components:a,mdxType:"MDXLayout"}),Object(o.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(o.b)("p",null,"A ferramenta Mapa de Tens\xe3o utiliza o concento de ",Object(o.b)("a",{parentName:"p",href:"https://en.wikipedia.org/wiki/Heat_map"},"mapa de calor")," para exibir os valores de tens\xe3o de todas as barras do sistema por meio de cores."),Object(o.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(o.b)("source",{src:Object(i.a)("videos/heatmap.mp4"),type:"video/mp4"}),Object(o.b)("source",{src:Object(i.a)("videos/heatmap.webm"),type:"video/webm"})),Object(o.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"Essa ferramenta \xe9 \xfatil para identifica\xe7\xe3o de barras com sub e sobretens\xf5es no sistema de pot\xeancia, assim como o efeito da inser\xe7\xe3o / remo\xe7\xe3o de elementos do sistema."))),Object(o.b)("p",null,"A legenda que correlaciona os valores do m\xf3dulo da tens\xe3o com as cores s\xe3o exibidas \xe0 esquerda da \xe1rea de trabalho."),Object(o.b)("h2",{id:"habilitando-a-ferramenta-mapa-de-tens\xe3o"},"Habilitando a ferramenta Mapa de Tens\xe3o"),Object(o.b)("p",null,"A ferramenta pode ser habilitada ou desabilitada no ",Object(o.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"submenu Ribbon ",Object(o.b)("strong",{parentName:"a"},"Ferramentas"))," clicando no bot\xe3o ",Object(o.b)("strong",{parentName:"p"},"Mapa de tens\xe3o"),' ou pela tecla de atalho "Ctrl + Shift + H".'),Object(o.b)("p",null,"As configura\xe7\xf5es da ferramenta podem ser tamb\xe9m acessadas no ",Object(o.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"submenu Ribbon ",Object(o.b)("strong",{parentName:"a"},"Ferramentas"))," clicando no bot\xe3o ",Object(o.b)("strong",{parentName:"p"},"Configura\xe7\xf5es do projeto")),Object(o.b)("div",null,Object(o.b)("center",null,Object(o.b)("img",{src:Object(i.a)("images/heatmapForm.png"),alt:"Configura\xe7\xf5es da ferramenta Mapa de Tens\xe3o",title:"Configura\xe7\xf5es da ferramenta Mapa de Tens\xe3o"}))),Object(o.b)("div",{className:"admonition admonition-info alert alert--info"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"Na vers\xe3o atual do programa, somente as op\xe7\xf5es do mapa de tens\xe3o s\xe3o exibidas nas configura\xe7\xf5es de projeto."))),Object(o.b)("p",null,"Os limites superiores e inferiores, em ",Object(o.b)("span",{parentName:"p",className:"math math-inline"},Object(o.b)("span",{parentName:"span",className:"katex"},Object(o.b)("span",{parentName:"span",className:"katex-mathml"},Object(o.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(o.b)("semantics",{parentName:"math"},Object(o.b)("mrow",{parentName:"semantics"},Object(o.b)("mi",{parentName:"mrow"},"p"),Object(o.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(o.b)("mi",{parentName:"mrow"},"u"),Object(o.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(o.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(o.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(o.b)("span",{parentName:"span",className:"base"},Object(o.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(o.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(o.b)("span",{parentName:"span",className:"mord"},"."),Object(o.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(o.b)("span",{parentName:"span",className:"mord"},".")))))," s\xe3o editados nesse formul\xe1rio."),Object(o.b)("p",null,"Alternativamente, o programa pode calcular automaticamente os limites. Nesse caso, o limite superior ser\xe1 a maior tens\xe3o do circuito e o limite inferior ser\xe1 a menor tens\xe3o do circuito."),Object(o.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"O c\xe1lculo autom\xe1tico dos limites pode prejudicar a identifica\xe7\xe3o de barras com sub e sobretens\xf5es no sistema."))))}b.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/484c963e.1d93ab6c.js b/docs/assets/js/484c963e.1d93ab6c.js
new file mode 100644
index 0000000..369f7eb
--- /dev/null
+++ b/docs/assets/js/484c963e.1d93ab6c.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[20],{140:function(a,e,t){"use strict";t.d(e,"a",(function(){return l})),t.d(e,"b",(function(){return d}));var n=t(0),s=t.n(n);function m(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function r(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);e&&(n=n.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,n)}return t}function p(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?r(Object(t),!0).forEach((function(e){m(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):r(Object(t)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(t,e))}))}return a}function c(a,e){if(null==a)return{};var t,n,s=function(a,e){if(null==a)return{};var t,n,s={},m=Object.keys(a);for(n=0;n<m.length;n++)t=m[n],e.indexOf(t)>=0||(s[t]=a[t]);return s}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(n=0;n<m.length;n++)t=m[n],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(s[t]=a[t])}return s}var b=s.a.createContext({}),i=function(a){var e=s.a.useContext(b),t=e;return a&&(t="function"==typeof a?a(e):p(p({},e),a)),t},l=function(a){var e=i(a.components);return s.a.createElement(b.Provider,{value:e},a.children)},o={inlineCode:"code",wrapper:function(a){var e=a.children;return s.a.createElement(s.a.Fragment,{},e)}},N=s.a.forwardRef((function(a,e){var t=a.components,n=a.mdxType,m=a.originalType,r=a.parentName,b=c(a,["components","mdxType","originalType","parentName"]),l=i(t),N=n,d=l["".concat(r,".").concat(N)]||l[N]||o[N]||m;return t?s.a.createElement(d,p(p({ref:e},b),{},{components:t})):s.a.createElement(d,p({ref:e},b))}));function d(a,e){var t=arguments,n=e&&e.mdxType;if("string"==typeof a||n){var m=t.length,r=new Array(m);r[0]=N;var p={};for(var c in e)hasOwnProperty.call(e,c)&&(p[c]=e[c]);p.originalType=a,p.mdxType="string"==typeof a?a:n,r[1]=p;for(var b=2;b<m;b++)r[b]=t[b];return s.a.createElement.apply(null,r)}return s.a.createElement.apply(null,t)}N.displayName="MDXCreateElement"},141:function(a,e,t){"use strict";t.d(e,"b",(function(){return m})),t.d(e,"a",(function(){return r}));var n=t(16),s=t(142);function m(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(n.default)();return{withBaseUrl:(t,n)=>function(a,e,t,{forcePrependBaseUrl:n=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(s.b)(t))return t;if(n)return e+t;const r=t.startsWith(e)?t:e+t.replace(/^\//,"");return m?a+r:r}(e,a,t,n)}}function r(a,e={}){const{withBaseUrl:t}=m();return t(a,e)}},142:function(a,e,t){"use strict";function n(a){return!0===/^(\w*:|\/\/)/.test(a)}function s(a){return void 0!==a&&!n(a)}t.d(e,"b",(function(){return n})),t.d(e,"a",(function(){return s}))},92:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return p})),t.d(e,"metadata",(function(){return c})),t.d(e,"toc",(function(){return b})),t.d(e,"default",(function(){return l}));var n=t(3),s=t(7),m=(t(0),t(140)),r=t(141),p={id:"io",title:"Entrada / Sa\xedda",sidebar_label:"Entrada / Sa\xedda"},c={unversionedId:"io",id:"io",isDocsHomePage:!1,title:"Entrada / Sa\xedda",description:"As entradas e sa\xedda s\xe3o vari\xe1veis relacionadas \xe0s m\xe1quinas s\xedncronas. Cada tipo de entrada e sa\xedda est\xe1 relacionada a um regulador da m\xe1quina: Regulador de Tens\xe3o (AVR, do ingl\xeas *Automatic Voltage Regulator*) e Regulador de Velocidade (RV).",source:"@site/docs/io.md",slug:"/io",permalink:"/PSP/docs/io",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/io.md",version:"current",sidebar_label:"Entrada / Sa\xedda",sidebar:"docs",previous:{title:"Editor de Controle",permalink:"/PSP/docs/controlEditor"},next:{title:"Fun\xe7\xe3o Transfer\xeancia",permalink:"/PSP/docs/transferFunction"}},b=[{value:"Vari\xe1veis de entrada e sa\xedda",id:"vari\xe1veis-de-entrada-e-sa\xedda",children:[]}],i={toc:b};function l(a){var e=a.components,t=Object(s.a)(a,["components"]);return Object(m.b)("wrapper",Object(n.a)({},i,t,{components:e,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(r.a)("katex/katex.min.css")}),Object(m.b)("p",null,"As entradas e sa\xedda s\xe3o vari\xe1veis relacionadas \xe0s m\xe1quinas s\xedncronas. Cada tipo de entrada e sa\xedda est\xe1 relacionada a um regulador da m\xe1quina: ",Object(m.b)("strong",{parentName:"p"},"Regulador de Tens\xe3o (AVR, do ingl\xeas ",Object(m.b)("em",{parentName:"strong"},"Automatic Voltage Regulator"),")")," e ",Object(m.b)("strong",{parentName:"p"},"Regulador de Velocidade (RV)"),"."),Object(m.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"O sistema de controle deve ter ",Object(m.b)("strong",{parentName:"p"},"ao menos uma entrada e uma sa\xedda"),"."))),Object(m.b)("p",null,"As entradas e sa\xeddas do sistema de controle s\xe3o definidas por esses blocos, os quais s\xe3o distintos para cada tipo de escopo. A figura abaixo apresenta um exemplo de um formul\xe1rio de edi\xe7\xe3o das entradas e sa\xeddas de um AVR:"),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(r.a)("images/ioForm.png"),alt:"Formul\xe1rio de edi\xe7\xe3o de entradas e sa\xeddas de sistemas de controle de um AVR",title:"Formul\xe1rio de edi\xe7\xe3o de entradas e sa\xeddas de sistemas de controle de um AVR"}))),Object(m.b)("h2",{id:"vari\xe1veis-de-entrada-e-sa\xedda"},"Vari\xe1veis de entrada e sa\xedda"),Object(m.b)("p",null,"O usu\xe1rio deve sinalizar o tipo de bloco entre entrada e sa\xedda e, ent\xe3o, selecionar em uma lista a vari\xe1vel desejada. As seguintes vari\xe1veis de controle est\xe3o atualmente dispon\xedveis no programa:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Tens\xe3o terminal")," (",Object(m.b)("em",{parentName:"p"},"entrada: AVR"),"): M\xf3dulo da tens\xe3o no barramento da m\xe1quina s\xedncrona, em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},"."))))),", vari\xe1vel no tempo. Essa vari\xe1vel \xe9 normalmente utilizada no c\xe1lculo do erro da tens\xe3o de refer\xeancia do AVR;")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Velocidade")," (",Object(m.b)("em",{parentName:"p"},"entrada: AVR e RV"),"): Velocidade da m\xe1quina s\xedncrona, em rad/s, vari\xe1vel no tempo. Normalmente utilizada no c\xe1lculo do erro de velocidade nos reguladores de velocidade, al\xe9m de entrada do PSS em AVRs;")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Pot\xeancia ativa e reativa")," (",Object(m.b)("em",{parentName:"p"},"entrada: AVR"),"): Pot\xeancia ativa fornecida pela m\xe1quina s\xedncrona, em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},"."))))),", vari\xe1vel no tempo. Normalmente utilizada como entrada do PSS (pot\xeancia ativa) e controle de sub e sobrecorrente de excita\xe7\xe3o nos AVRs;")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Tens\xe3o terminal inicial")," (",Object(m.b)("em",{parentName:"p"},"entrada: AVR"),"): M\xf3dulo da tens\xe3o no barramento da m\xe1quina s\xedncrona pr\xe9via ao estudo din\xe2mico originado do fluxo de carga, em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},"."))))),", fixo no tempo. Essa vari\xe1vel est\xe1 normalmente associada \xe0 refer\xeancia de tens\xe3o do AVR;")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Velocidade inicial")," (",Object(m.b)("em",{parentName:"p"},"entrada: AVR e RV"),"): Velocidade do sistema (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"2"),Object(m.b)("mi",{parentName:"mrow"},"\u03c0"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"f"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"f")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2 \\pi f_{ref}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.980548em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"2"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.10764em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))))),"), definida nas ",Object(m.b)("a",{parentName:"p",href:"simulationConfig"},"op\xe7\xf5es de simula\xe7\xe3o"),", em rad/s, fixa no tempo. Normalmente utiliza-se essa vari\xe1vel como refer\xeancia de velocidade em RVs e normaliza\xe7\xe3o da velocidade;")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Pot\xeancia mec\xe2nica inicial")," (",Object(m.b)("em",{parentName:"p"},"entrada: RV"),"): Pot\xeancia mec\xe2nica inicial, calculada ap\xf3s a inicializa\xe7\xe3o das m\xe1quinas s\xedncronas com os dados originados do fluxo de carga, em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},"."))))),", fixa no tempo. Normalmente \xe9 utilizada como refer\xeancia de pot\xeancia mec\xe2nica nos reguladores de velocidade;")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Varia\xe7\xe3o de velocidade e pot\xeancia ativa")," (",Object(m.b)("em",{parentName:"p"},"entrada: AVR"),"): C\xe1lculo da varia\xe7\xe3o dessas entradas entre os passos de integra\xe7\xe3o normalizada pelo passo de integra\xe7\xe3o, conforme a equa\xe7\xe3o:"),Object(m.b)("div",{parentName:"li",className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(m.b)("mi",{parentName:"mrow"},"x"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1")))),Object(m.b)("mi",{parentName:"mfrac"},"h"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta x = \\frac{x_n-x_{n-1}}{h}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.9463300000000001em",verticalAlign:"-0.686em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.26033em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("p",{parentName:"li"},"Em que:"),Object(m.b)("ul",{parentName:"li"},Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(m.b)("mi",{parentName:"mrow"},"x")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta x")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"))))),"\t\xe9 a varia\xe7\xe3o da entrada (velocidade ou pot\xeancia ativa);"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e ",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_{n-1}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.638891em",verticalAlign:"-0.208331em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\t\xe9 a vari\xe1vel no passo atual e anterior, respectivamente;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"h")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"h")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.69444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"))))),"\t\xe9 o passo de integra\xe7\xe3o.")),Object(m.b)("div",{parentName:"li",className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"A normaliza\xe7\xe3o \xe9 necess\xe1ria para a correta utiliza\xe7\xe3o da raz\xe3o de passo de controle, definida nas ",Object(m.b)("a",{parentName:"p",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o"),".")))),Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Tens\xe3o de campo")," (",Object(m.b)("em",{parentName:"p"},"sa\xedda: AVR"),"): Define a tens\xe3o aplicada ao campo na m\xe1quina s\xedncrona, em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))," Utilizada como sa\xedda dos AVRs, controlando principalmente tens\xe3o no barramento conectado e/ou fator de pot\xeancia da m\xe1quina;")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Pot\xeancia mec\xe2nica")," (",Object(m.b)("em",{parentName:"p"},"sa\xedda: RV"),"): Define qual a pot\xeancia mec\xe2nica aplicada no eixo da m\xe1quina s\xedncrona. Utilizada como sa\xedda dos reguladores de velocidade, controlando principalmente a pot\xeancia ativa injetada pela m\xe1quina e sua frequ\xeancia."))))}l.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/5a51001a.97b2c745.js b/docs/assets/js/5a51001a.97b2c745.js
new file mode 100644
index 0000000..d94bc49
--- /dev/null
+++ b/docs/assets/js/5a51001a.97b2c745.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[21],{140:function(e,t,n){"use strict";n.d(t,"a",(function(){return p})),n.d(t,"b",(function(){return m}));var r=n(0),o=n.n(r);function a(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function i(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,r)}return n}function c(e){for(var t=1;t<arguments.length;t++){var n=null!=arguments[t]?arguments[t]:{};t%2?i(Object(n),!0).forEach((function(t){a(e,t,n[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(n)):i(Object(n)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(n,t))}))}return e}function u(e,t){if(null==e)return{};var n,r,o=function(e,t){if(null==e)return{};var n,r,o={},a=Object.keys(e);for(r=0;r<a.length;r++)n=a[r],t.indexOf(n)>=0||(o[n]=e[n]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(r=0;r<a.length;r++)n=a[r],t.indexOf(n)>=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(o[n]=e[n])}return o}var s=o.a.createContext({}),l=function(e){var t=o.a.useContext(s),n=t;return e&&(n="function"==typeof e?e(t):c(c({},t),e)),n},p=function(e){var t=l(e.components);return o.a.createElement(s.Provider,{value:t},e.children)},d={inlineCode:"code",wrapper:function(e){var t=e.children;return o.a.createElement(o.a.Fragment,{},t)}},f=o.a.forwardRef((function(e,t){var n=e.components,r=e.mdxType,a=e.originalType,i=e.parentName,s=u(e,["components","mdxType","originalType","parentName"]),p=l(n),f=r,m=p["".concat(i,".").concat(f)]||p[f]||d[f]||a;return n?o.a.createElement(m,c(c({ref:t},s),{},{components:n})):o.a.createElement(m,c({ref:t},s))}));function m(e,t){var n=arguments,r=t&&t.mdxType;if("string"==typeof e||r){var a=n.length,i=new Array(a);i[0]=f;var c={};for(var u in t)hasOwnProperty.call(t,u)&&(c[u]=t[u]);c.originalType=e,c.mdxType="string"==typeof e?e:r,i[1]=c;for(var s=2;s<a;s++)i[s]=n[s];return o.a.createElement.apply(null,i)}return o.a.createElement.apply(null,n)}f.displayName="MDXCreateElement"},141:function(e,t,n){"use strict";n.d(t,"b",(function(){return a})),n.d(t,"a",(function(){return i}));var r=n(16),o=n(142);function a(){const{siteConfig:{baseUrl:e="/",url:t}={}}=Object(r.default)();return{withBaseUrl:(n,r)=>function(e,t,n,{forcePrependBaseUrl:r=!1,absolute:a=!1}={}){if(!n)return n;if(n.startsWith("#"))return n;if(Object(o.b)(n))return n;if(r)return t+n;const i=n.startsWith(t)?n:t+n.replace(/^\//,"");return a?e+i:i}(t,e,n,r)}}function i(e,t={}){const{withBaseUrl:n}=a();return n(e,t)}},142:function(e,t,n){"use strict";function r(e){return!0===/^(\w*:|\/\/)/.test(e)}function o(e){return void 0!==e&&!r(e)}n.d(t,"b",(function(){return r})),n.d(t,"a",(function(){return o}))},93:function(e,t,n){"use strict";n.r(t),n.d(t,"frontMatter",(function(){return c})),n.d(t,"metadata",(function(){return u})),n.d(t,"toc",(function(){return s})),n.d(t,"default",(function(){return p}));var r=n(3),o=n(7),a=(n(0),n(140)),i=n(141),c={id:"gain",title:"Ganho",sidebar_label:"Ganho"},u={unversionedId:"gain",id:"gain",isDocsHomePage:!1,title:"Ganho",description:"O bloco de ganho multiplica o valor de entrada por uma constante definida pelo usu\xe1rio, possuindo comportamento id\xeantico \xe0 combina\xe7\xe3o de uma constante e um bloco multiplicador.",source:"@site/docs/gain.md",slug:"/gain",permalink:"/PSP/docs/gain",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/gain.md",version:"current",sidebar_label:"Ganho",sidebar:"docs",previous:{title:"Constante",permalink:"/PSP/docs/const"},next:{title:"Express\xe3o Matem\xe1tica",permalink:"/PSP/docs/mathExpression"}},s=[],l={toc:s};function p(e){var t=e.components,n=Object(o.a)(e,["components"]);return Object(a.b)("wrapper",Object(r.a)({},l,n,{components:t,mdxType:"MDXLayout"}),Object(a.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(a.b)("p",null,"O bloco de ganho multiplica o valor de entrada por uma constante definida pelo usu\xe1rio, possuindo comportamento id\xeantico \xe0 combina\xe7\xe3o de uma ",Object(a.b)("a",{parentName:"p",href:"const"},"constante")," e um bloco ",Object(a.b)("a",{parentName:"p",href:"multiplier"},"multiplicador"),"."),Object(a.b)("p",null,"Esse valor de ganho permanece fixo durante todo o tempo de simula\xe7\xe3o e \xe9 identificado no elemento gr\xe1fico exibido no editor de elementos de controle."))}p.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/63.4e2ee22a.js b/docs/assets/js/63.4e2ee22a.js
new file mode 100644
index 0000000..21725d4
--- /dev/null
+++ b/docs/assets/js/63.4e2ee22a.js
@@ -0,0 +1,2 @@
+/*! For license information please see 63.4e2ee22a.js.LICENSE.txt */
+(window.webpackJsonp=window.webpackJsonp||[]).push([[63],{112:function(e,t,r){"use strict";r.r(t);var n=r(0),i=r.n(n),a=r(220),s=r.n(a),c=r(209),o=r.n(c),u=r(143),f=r(25),h=r(150),l=r(8),m=r(148),d=r(16),p=r(151),v=r(174),g=r(152),y=r(149),R=r(113),F=r.n(R);const b=({docsSearchVersionsHelpers:e})=>{const t=Object.entries(e.allDocsData).filter((([,e])=>e.versions.length>1));return i.a.createElement("div",{className:Object(u.a)("col","col--3","padding-left--none",F.a.searchVersionColumn)},t.map((([r,n])=>{const a=t.length>1?`${r}: `:"";return i.a.createElement("select",{key:r,onChange:t=>e.setSearchVersion(r,t.target.value),defaultValue:e.searchVersions[r],className:F.a.searchVersionInput},n.versions.map(((e,t)=>i.a.createElement("option",{key:t,label:`${a}${e.label}`,value:e.name}))))})))};t.default=function(){const{siteConfig:{themeConfig:{algolia:{appId:e,apiKey:t,indexName:r}}},i18n:{currentLocale:a}}=Object(d.default)(),c=function(){const{selectMessage:e}=Object(m.usePluralForm)();return t=>e(t,Object(y.b)({id:"theme.SearchPage.documentsFound.plurals",description:'Pluralized label for "{count} documents found". Use as much plural forms (separated by "|") as your language support (see https://www.unicode.org/cldr/cldr-aux/charts/34/supplemental/language_plural_rules.html)',message:"One document found|{count} documents found"},{count:t}))}(),R=function(){const e=Object(p.useAllDocsData)(),[t,r]=Object(n.useState)((()=>Object.entries(e).reduce(((e,[t,r])=>({...e,[t]:r.versions[0].name})),{}))),i=Object.values(e).some((e=>e.versions.length>1));return{allDocsData:e,versioningEnabled:i,searchVersions:t,setSearchVersion:(e,t)=>r((r=>({...r,[e]:t})))}}(),{searchValue:j,updateSearchPath:P}=Object(v.a)(),[E,x]=Object(n.useState)(j),O={items:[],query:null,totalResults:null,totalPages:null,lastPage:null,hasMore:null,loading:null},[w,_]=Object(n.useReducer)(((e,{type:t,value:r})=>{switch(t){case"reset":return O;case"loading":return{...e,loading:!0};case"update":return E!==r.query?e:{...r,items:0===r.lastPage?r.items:e.items.concat(r.items)};case"advance":{const t=e.totalPages>e.lastPage+1;return{...e,lastPage:t?e.lastPage+1:e.lastPage,hasMore:t}}default:return e}}),O),N=s()(e,t),A=o()(N,r,{hitsPerPage:15,advancedSyntax:!0,disjunctiveFacets:["language","docusaurus_tag"]});A.on("result",(({results:{query:e,hits:t,page:r,nbHits:n,nbPages:i}})=>{if(""===e||!(t instanceof Array))return void _({type:"reset"});const a=e=>e.replace(/algolia-docsearch-suggestion--highlight/g,"search-result-match"),s=t.map((({url:e,_highlightResult:{hierarchy:t},_snippetResult:r={}})=>{const{pathname:n,hash:i}=new URL(e),s=Object.keys(t).map((e=>a(t[e].value)));return{title:s.pop(),url:n+i,summary:r.content?`${a(r.content.value)}...`:"",breadcrumbs:s}}));_({type:"update",value:{items:s,query:e,totalResults:n,totalPages:i,lastPage:r,hasMore:i>r+1,loading:!1}})}));const[S,H]=Object(n.useState)(null),T=Object(n.useRef)(0),Q=Object(n.useRef)(l.a.canUseDOM&&new IntersectionObserver((e=>{const{isIntersecting:t,boundingClientRect:{y:r}}=e[0];t&&T.current>r&&_({type:"advance"}),T.current=r}),{threshold:1})),C=()=>E?Object(y.b)({id:"theme.SearchPage.existingResultsTitle",message:'Search results for "{query}"',description:"The search page title for non-empty query"},{query:E}):Object(y.b)({id:"theme.SearchPage.emptyResultsTitle",message:"Search the documentation",description:"The search page title for empty query"}),D=(e=0)=>{A.addDisjunctiveFacetRefinement("docusaurus_tag","default"),A.addDisjunctiveFacetRefinement("language",a),Object.entries(R.searchVersions).forEach((([e,t])=>{A.addDisjunctiveFacetRefinement("docusaurus_tag",`docs-${e}-${t}`)})),A.setQuery(E).setPage(e).search()};return Object(n.useEffect)((()=>{if(S)return Q.current.observe(S),()=>{Q.current.unobserve(S)}}),[S]),Object(n.useEffect)((()=>{P(E),_({type:"reset"}),E&&(_({type:"loading"}),setTimeout((()=>{D()}),300))}),[E,R.searchVersions]),Object(n.useEffect)((()=>{w.lastPage&&0!==w.lastPage&&D(w.lastPage)}),[w.lastPage]),Object(n.useEffect)((()=>{j&&j!==E&&x(j)}),[j]),i.a.createElement(g.a,{wrapperClassName:"search-page-wrapper"},i.a.createElement(f.a,null,i.a.createElement("title",null,Object(m.useTitleFormatter)(C())),i.a.createElement("meta",{property:"robots",content:"noindex, follow"})),i.a.createElement("div",{className:"container margin-vert--lg"},i.a.createElement("h1",null,C()),i.a.createElement("form",{className:"row",onSubmit:e=>e.preventDefault()},i.a.createElement("div",{className:Object(u.a)("col",F.a.searchQueryColumn,{"col--9":R.versioningEnabled,"col--12":!R.versioningEnabled})},i.a.createElement("input",{type:"search",name:"q",className:F.a.searchQueryInput,placeholder:Object(y.b)({id:"theme.SearchPage.inputPlaceholder",message:"Type your search here",description:"The placeholder for search page input"}),"aria-label":Object(y.b)({id:"theme.SearchPage.inputLabel",message:"Search",description:"The ARIA label for search page input"}),onChange:e=>x(e.target.value),value:E,autoComplete:"off",autoFocus:!0})),R.versioningEnabled&&i.a.createElement(b,{docsSearchVersionsHelpers:R})),i.a.createElement("div",{className:Object(u.a)("row","margin-vert--sm")},i.a.createElement("div",{className:Object(u.a)("col","col--8",F.a.searchResultsColumn)},!!w.totalResults&&i.a.createElement("strong",null,c(w.totalResults))),i.a.createElement("div",{className:Object(u.a)("col","col--4",F.a.searchLogoColumn)},i.a.createElement("a",{target:"_blank",rel:"noopener noreferrer",href:"https://www.algolia.com/","aria-label":Object(y.b)({id:"theme.SearchPage.algoliaLabel",message:"Search by Algolia",description:"The ARIA label for Algolia mention"})},i.a.createElement("svg",{viewBox:"0 0 168 24",className:F.a.algoliaLogo,xmlns:"http://www.w3.org/2000/svg"},i.a.createElement("g",{fill:"none"},i.a.createElement("path",{className:F.a.algoliaLogoPathFill,d:"M120.925 18.804c-4.386.02-4.386-3.54-4.386-4.106l-.007-13.336 2.675-.424v13.254c0 .322 0 2.358 1.718 2.364v2.248zm-10.846-2.18c.821 0 1.43-.047 1.855-.129v-2.719a6.334 6.334 0 0 0-1.574-.199 5.7 5.7 0 0 0-.897.069 2.699 2.699 0 0 0-.814.24c-.24.116-.439.28-.582.491-.15.212-.219.335-.219.656 0 .628.219.991.616 1.23s.938.362 1.615.362zm-.233-9.7c.883 0 1.629.109 2.231.328.602.218 1.088.525 1.444.915.363.396.609.922.76 1.483.157.56.232 1.175.232 1.85v6.874a32.5 32.5 0 0 1-1.868.314c-.834.123-1.772.185-2.813.185-.69 0-1.327-.069-1.895-.198a4.001 4.001 0 0 1-1.471-.636 3.085 3.085 0 0 1-.951-1.134c-.226-.465-.343-1.12-.343-1.803 0-.656.13-1.073.384-1.525a3.24 3.24 0 0 1 1.047-1.106c.445-.287.95-.492 1.532-.615a8.8 8.8 0 0 1 1.82-.185 8.404 8.404 0 0 1 1.972.24v-.438c0-.307-.035-.6-.11-.874a1.88 1.88 0 0 0-.384-.73 1.784 1.784 0 0 0-.724-.493 3.164 3.164 0 0 0-1.143-.205c-.616 0-1.177.075-1.69.164a7.735 7.735 0 0 0-1.26.307l-.321-2.192c.335-.117.834-.233 1.478-.349a10.98 10.98 0 0 1 2.073-.178zm52.842 9.626c.822 0 1.43-.048 1.854-.13V13.7a6.347 6.347 0 0 0-1.574-.199c-.294 0-.595.021-.896.069a2.7 2.7 0 0 0-.814.24 1.46 1.46 0 0 0-.582.491c-.15.212-.218.335-.218.656 0 .628.218.991.615 1.23.404.245.938.362 1.615.362zm-.226-9.694c.883 0 1.629.108 2.231.327.602.219 1.088.526 1.444.915.355.39.609.923.759 1.483a6.8 6.8 0 0 1 .233 1.852v6.873c-.41.088-1.034.19-1.868.314-.834.123-1.772.184-2.813.184-.69 0-1.327-.068-1.895-.198a4.001 4.001 0 0 1-1.471-.635 3.085 3.085 0 0 1-.951-1.134c-.226-.465-.343-1.12-.343-1.804 0-.656.13-1.073.384-1.524.26-.45.608-.82 1.047-1.107.445-.286.95-.491 1.532-.614a8.803 8.803 0 0 1 2.751-.13c.329.034.671.096 1.04.185v-.437a3.3 3.3 0 0 0-.109-.875 1.873 1.873 0 0 0-.384-.731 1.784 1.784 0 0 0-.724-.492 3.165 3.165 0 0 0-1.143-.205c-.616 0-1.177.075-1.69.164a7.75 7.75 0 0 0-1.26.307l-.321-2.193c.335-.116.834-.232 1.478-.348a11.633 11.633 0 0 1 2.073-.177zm-8.034-1.271a1.626 1.626 0 0 1-1.628-1.62c0-.895.725-1.62 1.628-1.62.904 0 1.63.725 1.63 1.62 0 .895-.733 1.62-1.63 1.62zm1.348 13.22h-2.689V7.27l2.69-.423v11.956zm-4.714 0c-4.386.02-4.386-3.54-4.386-4.107l-.008-13.336 2.676-.424v13.254c0 .322 0 2.358 1.718 2.364v2.248zm-8.698-5.903c0-1.156-.253-2.119-.746-2.788-.493-.677-1.183-1.01-2.067-1.01-.882 0-1.574.333-2.065 1.01-.493.676-.733 1.632-.733 2.788 0 1.168.246 1.953.74 2.63.492.683 1.183 1.018 2.066 1.018.882 0 1.574-.342 2.067-1.019.492-.683.738-1.46.738-2.63zm2.737-.007c0 .902-.13 1.584-.397 2.33a5.52 5.52 0 0 1-1.128 1.906 4.986 4.986 0 0 1-1.752 1.223c-.685.286-1.739.45-2.265.45-.528-.006-1.574-.157-2.252-.45a5.096 5.096 0 0 1-1.744-1.223c-.487-.527-.863-1.162-1.137-1.906a6.345 6.345 0 0 1-.41-2.33c0-.902.123-1.77.397-2.508a5.554 5.554 0 0 1 1.15-1.892 5.133 5.133 0 0 1 1.75-1.216c.679-.287 1.425-.423 2.232-.423.808 0 1.553.142 2.237.423a4.88 4.88 0 0 1 1.753 1.216 5.644 5.644 0 0 1 1.135 1.892c.287.738.431 1.606.431 2.508zm-20.138 0c0 1.12.246 2.363.738 2.882.493.52 1.13.78 1.91.78.424 0 .828-.062 1.204-.178.377-.116.677-.253.917-.417V9.33a10.476 10.476 0 0 0-1.766-.226c-.971-.028-1.71.37-2.23 1.004-.513.636-.773 1.75-.773 2.788zm7.438 5.274c0 1.824-.466 3.156-1.404 4.004-.936.846-2.367 1.27-4.296 1.27-.705 0-2.17-.137-3.34-.396l.431-2.118c.98.205 2.272.26 2.95.26 1.074 0 1.84-.219 2.299-.656.459-.437.684-1.086.684-1.948v-.437a8.07 8.07 0 0 1-1.047.397c-.43.13-.93.198-1.492.198-.739 0-1.41-.116-2.018-.349a4.206 4.206 0 0 1-1.567-1.025c-.431-.45-.774-1.017-1.013-1.694-.24-.677-.363-1.885-.363-2.773 0-.834.13-1.88.384-2.577.26-.696.629-1.298 1.129-1.796.493-.498 1.095-.881 1.8-1.162a6.605 6.605 0 0 1 2.428-.457c.87 0 1.67.109 2.45.24.78.129 1.444.265 1.985.415V18.17zM6.972 6.677v1.627c-.712-.446-1.52-.67-2.425-.67-.585 0-1.045.13-1.38.391a1.24 1.24 0 0 0-.502 1.03c0 .425.164.765.494 1.02.33.256.835.532 1.516.83.447.192.795.356 1.045.495.25.138.537.332.862.582.324.25.563.548.718.894.154.345.23.741.23 1.188 0 .947-.334 1.691-1.004 2.234-.67.542-1.537.814-2.601.814-1.18 0-2.16-.229-2.936-.686v-1.708c.84.628 1.814.942 2.92.942.585 0 1.048-.136 1.388-.407.34-.271.51-.646.51-1.125 0-.287-.1-.55-.302-.79-.203-.24-.42-.42-.655-.542-.234-.123-.585-.29-1.053-.503a61.27 61.27 0 0 1-.582-.271 13.67 13.67 0 0 1-.55-.287 4.275 4.275 0 0 1-.567-.351 6.92 6.92 0 0 1-.455-.4c-.18-.17-.31-.34-.39-.51-.08-.17-.155-.37-.224-.598a2.553 2.553 0 0 1-.104-.742c0-.915.333-1.638.998-2.17.664-.532 1.523-.798 2.576-.798.968 0 1.793.17 2.473.51zm7.468 5.696v-.287c-.022-.607-.187-1.088-.495-1.444-.309-.357-.75-.535-1.324-.535-.532 0-.99.194-1.373.583-.382.388-.622.949-.717 1.683h3.909zm1.005 2.792v1.404c-.596.34-1.383.51-2.362.51-1.255 0-2.255-.377-3-1.132-.744-.755-1.116-1.744-1.116-2.968 0-1.297.34-2.316 1.021-3.055.68-.74 1.548-1.11 2.6-1.11 1.033 0 1.852.323 2.458.966.606.644.91 1.572.91 2.784 0 .33-.033.676-.096 1.038h-5.314c.107.702.405 1.239.894 1.611.49.372 1.106.558 1.85.558.862 0 1.58-.202 2.155-.606zm6.605-1.77h-1.212c-.596 0-1.045.116-1.349.35-.303.234-.454.532-.454.894 0 .372.117.664.35.877.235.213.575.32 1.022.32.51 0 .912-.142 1.204-.424.293-.281.44-.651.44-1.108v-.91zm-4.068-2.554V9.325c.627-.361 1.457-.542 2.489-.542 2.116 0 3.175 1.026 3.175 3.08V17h-1.548v-.957c-.415.68-1.143 1.02-2.186 1.02-.766 0-1.38-.22-1.843-.661-.462-.442-.694-1.003-.694-1.684 0-.776.293-1.38.878-1.81.585-.431 1.404-.647 2.457-.647h1.34V11.8c0-.554-.133-.971-.399-1.253-.266-.282-.707-.423-1.324-.423a4.07 4.07 0 0 0-2.345.718zm9.333-1.93v1.42c.394-1 1.101-1.5 2.123-1.5.148 0 .313.016.494.048v1.531a1.885 1.885 0 0 0-.75-.143c-.542 0-.989.24-1.34.718-.351.479-.527 1.048-.527 1.707V17h-1.563V8.91h1.563zm5.01 4.084c.022.82.272 1.492.75 2.019.479.526 1.15.79 2.01.79.639 0 1.235-.176 1.788-.527v1.404c-.521.319-1.186.479-1.995.479-1.265 0-2.276-.4-3.031-1.197-.755-.798-1.133-1.792-1.133-2.984 0-1.16.38-2.151 1.14-2.975.761-.825 1.79-1.237 3.088-1.237.702 0 1.346.149 1.93.447v1.436a3.242 3.242 0 0 0-1.77-.495c-.84 0-1.513.266-2.019.798-.505.532-.758 1.213-.758 2.042zM40.24 5.72v4.579c.458-1 1.293-1.5 2.505-1.5.787 0 1.42.245 1.899.734.479.49.718 1.17.718 2.042V17h-1.564v-5.106c0-.553-.14-.98-.422-1.284-.282-.303-.652-.455-1.11-.455-.531 0-1.002.202-1.411.606-.41.405-.615 1.022-.615 1.851V17h-1.563V5.72h1.563zm14.966 10.02c.596 0 1.096-.253 1.5-.758.404-.506.606-1.157.606-1.955 0-.915-.202-1.62-.606-2.114-.404-.495-.92-.742-1.548-.742-.553 0-1.05.224-1.491.67-.442.447-.662 1.133-.662 2.058 0 .958.212 1.67.638 2.138.425.469.946.703 1.563.703zM53.004 5.72v4.42c.574-.894 1.388-1.341 2.44-1.341 1.022 0 1.857.383 2.506 1.149.649.766.973 1.781.973 3.047 0 1.138-.309 2.109-.925 2.912-.617.803-1.463 1.205-2.537 1.205-1.075 0-1.894-.447-2.457-1.34V17h-1.58V5.72h1.58zm9.908 11.104l-3.223-7.913h1.739l1.005 2.632 1.26 3.415c.096-.32.48-1.458 1.15-3.415l.909-2.632h1.66l-2.92 7.866c-.777 2.074-1.963 3.11-3.559 3.11a2.92 2.92 0 0 1-.734-.079v-1.34c.17.042.351.064.543.064 1.032 0 1.755-.57 2.17-1.708z"}),i.a.createElement("path",{fill:"#5468FF",d:"M78.988.938h16.594a2.968 2.968 0 0 1 2.966 2.966V20.5a2.967 2.967 0 0 1-2.966 2.964H78.988a2.967 2.967 0 0 1-2.966-2.964V3.897A2.961 2.961 0 0 1 78.988.938z"}),i.a.createElement("path",{fill:"white",d:"M89.632 5.967v-.772a.978.978 0 0 0-.978-.977h-2.28a.978.978 0 0 0-.978.977v.793c0 .088.082.15.171.13a7.127 7.127 0 0 1 1.984-.28c.65 0 1.295.088 1.917.259.082.02.164-.04.164-.13m-6.248 1.01l-.39-.389a.977.977 0 0 0-1.382 0l-.465.465a.973.973 0 0 0 0 1.38l.383.383c.062.061.15.047.205-.014.226-.307.472-.601.746-.874.281-.28.568-.526.883-.751.068-.042.075-.137.02-.2m4.16 2.453v3.341c0 .096.104.165.192.117l2.97-1.537c.068-.034.089-.117.055-.184a3.695 3.695 0 0 0-3.08-1.866c-.068 0-.136.054-.136.13m0 8.048a4.489 4.489 0 0 1-4.49-4.482 4.488 4.488 0 0 1 4.49-4.482 4.488 4.488 0 0 1 4.489 4.482 4.484 4.484 0 0 1-4.49 4.482m0-10.85a6.363 6.363 0 1 0 0 12.729 6.37 6.37 0 0 0 6.372-6.368 6.358 6.358 0 0 0-6.371-6.36"})))))),w.items.length>0?i.a.createElement("section",null,w.items.map((({title:e,url:t,summary:r,breadcrumbs:n},a)=>i.a.createElement("article",{key:a,className:F.a.searchResultItem},i.a.createElement(h.a,{to:t,className:F.a.searchResultItemHeading,dangerouslySetInnerHTML:{__html:e}}),n.length>0&&i.a.createElement("span",{className:F.a.searchResultItemPath},n.map(((e,t)=>i.a.createElement(i.a.Fragment,{key:t},0!==t&&i.a.createElement("span",{className:F.a.searchResultItemPathSeparator},"\u203a"),i.a.createElement("span",{dangerouslySetInnerHTML:{__html:e}}))))),r&&i.a.createElement("p",{className:F.a.searchResultItemSummary,dangerouslySetInnerHTML:{__html:r}}))))):[E&&!w.loading&&i.a.createElement("p",{key:"no-results"},i.a.createElement(y.a,{id:"theme.SearchPage.noResultsText",description:"The paragraph for empty search result"},"No results were found")),!!w.loading&&i.a.createElement("div",{key:"spinner",className:F.a.loadingSpinner})],w.hasMore&&i.a.createElement("div",{className:F.a.loader,ref:H},i.a.createElement("span",null,i.a.createElement(y.a,{id:"theme.SearchPage.fetchingNewResults",description:"The paragraph for fetching new search results"},"Fetching new results...")))))}},158:function(e,t,r){"use strict";function n(e){return"function"==typeof e||Array.isArray(e)||"[object Object]"===Object.prototype.toString.call(e)}function i(e,t){if(e===t)return e;for(var r in t)if(Object.prototype.hasOwnProperty.call(t,r)){var a=t[r],s=e[r];void 0!==s&&void 0===a||(n(s)&&n(a)?e[r]=i(s,a):e[r]="object"==typeof(c=a)&&null!==c?i(Array.isArray(c)?[]:{},c):c)}var c;return e}e.exports=function(e){n(e)||(e={});for(var t=1,r=arguments.length;t<r;t++){var a=arguments[t];n(a)&&i(e,a)}return e}},159:function(e,t,r){"use strict";e.exports=function(e,t){if(Array.isArray(e))for(var r=0;r<e.length;r++)if(t(e[r]))return e[r]}},164:function(e,t,r){"use strict";e.exports=function(){var e=Array.prototype.slice.call(arguments);return e.reduceRight((function(e,t){return Object.keys(Object(t)).forEach((function(r){void 0!==t[r]&&(void 0!==e[r]&&delete e[r],e[r]=t[r])})),e}),{})}},165:function(e,t,r){"use strict";e.exports=function(e,t){if(null===e)return{};var r,n,i={},a=Object.keys(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||(i[r]=e[r]);return i}},166:function(e,t,r){"use strict";e.exports=function(e){return e&&Object.keys(e).length>0}},183:function(e,t,r){"use strict";var n=r(158),i=r(164),a=r(211),s=r(159),c=r(212),o=r(165),u=r(166),f=r(213),h=r(214);function l(e,t){return Array.isArray(e)&&Array.isArray(t)?e.length===t.length&&e.every((function(e,r){return l(t[r],e)})):e===t}function m(e){var t=e?m._parseNumbers(e):{};void 0===t.userToken||f(t.userToken)||console.warn("[algoliasearch-helper] The `userToken` parameter is invalid. This can lead to wrong analytics.\n  - Format: [a-zA-Z0-9_-]{1,64}"),this.facets=t.facets||[],this.disjunctiveFacets=t.disjunctiveFacets||[],this.hierarchicalFacets=t.hierarchicalFacets||[],this.facetsRefinements=t.facetsRefinements||{},this.facetsExcludes=t.facetsExcludes||{},this.disjunctiveFacetsRefinements=t.disjunctiveFacetsRefinements||{},this.numericRefinements=t.numericRefinements||{},this.tagRefinements=t.tagRefinements||[],this.hierarchicalFacetsRefinements=t.hierarchicalFacetsRefinements||{};var r=this;Object.keys(t).forEach((function(e){var n=-1!==m.PARAMETERS.indexOf(e),i=void 0!==t[e];!n&&i&&(r[e]=t[e])}))}m.PARAMETERS=Object.keys(new m),m._parseNumbers=function(e){if(e instanceof m)return e;var t={};if(["aroundPrecision","aroundRadius","getRankingInfo","minWordSizefor2Typos","minWordSizefor1Typo","page","maxValuesPerFacet","distinct","minimumAroundRadius","hitsPerPage","minProximity"].forEach((function(r){var n=e[r];if("string"==typeof n){var i=parseFloat(n);t[r]=isNaN(i)?n:i}})),Array.isArray(e.insideBoundingBox)&&(t.insideBoundingBox=e.insideBoundingBox.map((function(e){return Array.isArray(e)?e.map((function(e){return parseFloat(e)})):e}))),e.numericRefinements){var r={};Object.keys(e.numericRefinements).forEach((function(t){var n=e.numericRefinements[t]||{};r[t]={},Object.keys(n).forEach((function(e){var i=n[e].map((function(e){return Array.isArray(e)?e.map((function(e){return"string"==typeof e?parseFloat(e):e})):"string"==typeof e?parseFloat(e):e}));r[t][e]=i}))})),t.numericRefinements=r}return n({},e,t)},m.make=function(e){var t=new m(e);return(e.hierarchicalFacets||[]).forEach((function(e){if(e.rootPath){var r=t.getHierarchicalRefinement(e.name);r.length>0&&0!==r[0].indexOf(e.rootPath)&&(t=t.clearRefinements(e.name)),0===(r=t.getHierarchicalRefinement(e.name)).length&&(t=t.toggleHierarchicalFacetRefinement(e.name,e.rootPath))}})),t},m.validate=function(e,t){var r=t||{};return e.tagFilters&&r.tagRefinements&&r.tagRefinements.length>0?new Error("[Tags] Cannot switch from the managed tag API to the advanced API. It is probably an error, if it is really what you want, you should first clear the tags with clearTags method."):e.tagRefinements.length>0&&r.tagFilters?new Error("[Tags] Cannot switch from the advanced tag API to the managed API. It is probably an error, if it is not, you should first clear the tags with clearTags method."):e.numericFilters&&r.numericRefinements&&u(r.numericRefinements)?new Error("[Numeric filters] Can't switch from the advanced to the managed API. It is probably an error, if this is really what you want, you have to first clear the numeric filters."):u(e.numericRefinements)&&r.numericFilters?new Error("[Numeric filters] Can't switch from the managed API to the advanced. It is probably an error, if this is really what you want, you have to first clear the numeric filters."):null},m.prototype={constructor:m,clearRefinements:function(e){var t={numericRefinements:this._clearNumericRefinements(e),facetsRefinements:h.clearRefinement(this.facetsRefinements,e,"conjunctiveFacet"),facetsExcludes:h.clearRefinement(this.facetsExcludes,e,"exclude"),disjunctiveFacetsRefinements:h.clearRefinement(this.disjunctiveFacetsRefinements,e,"disjunctiveFacet"),hierarchicalFacetsRefinements:h.clearRefinement(this.hierarchicalFacetsRefinements,e,"hierarchicalFacet")};return t.numericRefinements===this.numericRefinements&&t.facetsRefinements===this.facetsRefinements&&t.facetsExcludes===this.facetsExcludes&&t.disjunctiveFacetsRefinements===this.disjunctiveFacetsRefinements&&t.hierarchicalFacetsRefinements===this.hierarchicalFacetsRefinements?this:this.setQueryParameters(t)},clearTags:function(){return void 0===this.tagFilters&&0===this.tagRefinements.length?this:this.setQueryParameters({tagFilters:void 0,tagRefinements:[]})},setIndex:function(e){return e===this.index?this:this.setQueryParameters({index:e})},setQuery:function(e){return e===this.query?this:this.setQueryParameters({query:e})},setPage:function(e){return e===this.page?this:this.setQueryParameters({page:e})},setFacets:function(e){return this.setQueryParameters({facets:e})},setDisjunctiveFacets:function(e){return this.setQueryParameters({disjunctiveFacets:e})},setHitsPerPage:function(e){return this.hitsPerPage===e?this:this.setQueryParameters({hitsPerPage:e})},setTypoTolerance:function(e){return this.typoTolerance===e?this:this.setQueryParameters({typoTolerance:e})},addNumericRefinement:function(e,t,r){var i=c(r);if(this.isNumericRefined(e,t,i))return this;var a=n({},this.numericRefinements);return a[e]=n({},a[e]),a[e][t]?(a[e][t]=a[e][t].slice(),a[e][t].push(i)):a[e][t]=[i],this.setQueryParameters({numericRefinements:a})},getConjunctiveRefinements:function(e){return this.isConjunctiveFacet(e)&&this.facetsRefinements[e]||[]},getDisjunctiveRefinements:function(e){return this.isDisjunctiveFacet(e)&&this.disjunctiveFacetsRefinements[e]||[]},getHierarchicalRefinement:function(e){return this.hierarchicalFacetsRefinements[e]||[]},getExcludeRefinements:function(e){return this.isConjunctiveFacet(e)&&this.facetsExcludes[e]||[]},removeNumericRefinement:function(e,t,r){return void 0!==r?this.isNumericRefined(e,t,r)?this.setQueryParameters({numericRefinements:this._clearNumericRefinements((function(n,i){return i===e&&n.op===t&&l(n.val,c(r))}))}):this:void 0!==t?this.isNumericRefined(e,t)?this.setQueryParameters({numericRefinements:this._clearNumericRefinements((function(r,n){return n===e&&r.op===t}))}):this:this.isNumericRefined(e)?this.setQueryParameters({numericRefinements:this._clearNumericRefinements((function(t,r){return r===e}))}):this},getNumericRefinements:function(e){return this.numericRefinements[e]||{}},getNumericRefinement:function(e,t){return this.numericRefinements[e]&&this.numericRefinements[e][t]},_clearNumericRefinements:function(e){if(void 0===e)return u(this.numericRefinements)?{}:this.numericRefinements;if("string"==typeof e)return o(this.numericRefinements,[e]);if("function"==typeof e){var t=!1,r=this.numericRefinements,n=Object.keys(r).reduce((function(n,i){var a=r[i],s={};return a=a||{},Object.keys(a).forEach((function(r){var n=a[r]||[],c=[];n.forEach((function(t){e({val:t,op:r},i,"numeric")||c.push(t)})),c.length!==n.length&&(t=!0),s[r]=c})),n[i]=s,n}),{});return t?n:this.numericRefinements}},addFacet:function(e){return this.isConjunctiveFacet(e)?this:this.setQueryParameters({facets:this.facets.concat([e])})},addDisjunctiveFacet:function(e){return this.isDisjunctiveFacet(e)?this:this.setQueryParameters({disjunctiveFacets:this.disjunctiveFacets.concat([e])})},addHierarchicalFacet:function(e){if(this.isHierarchicalFacet(e.name))throw new Error("Cannot declare two hierarchical facets with the same name: `"+e.name+"`");return this.setQueryParameters({hierarchicalFacets:this.hierarchicalFacets.concat([e])})},addFacetRefinement:function(e,t){if(!this.isConjunctiveFacet(e))throw new Error(e+" is not defined in the facets attribute of the helper configuration");return h.isRefined(this.facetsRefinements,e,t)?this:this.setQueryParameters({facetsRefinements:h.addRefinement(this.facetsRefinements,e,t)})},addExcludeRefinement:function(e,t){if(!this.isConjunctiveFacet(e))throw new Error(e+" is not defined in the facets attribute of the helper configuration");return h.isRefined(this.facetsExcludes,e,t)?this:this.setQueryParameters({facetsExcludes:h.addRefinement(this.facetsExcludes,e,t)})},addDisjunctiveFacetRefinement:function(e,t){if(!this.isDisjunctiveFacet(e))throw new Error(e+" is not defined in the disjunctiveFacets attribute of the helper configuration");return h.isRefined(this.disjunctiveFacetsRefinements,e,t)?this:this.setQueryParameters({disjunctiveFacetsRefinements:h.addRefinement(this.disjunctiveFacetsRefinements,e,t)})},addTagRefinement:function(e){if(this.isTagRefined(e))return this;var t={tagRefinements:this.tagRefinements.concat(e)};return this.setQueryParameters(t)},removeFacet:function(e){return this.isConjunctiveFacet(e)?this.clearRefinements(e).setQueryParameters({facets:this.facets.filter((function(t){return t!==e}))}):this},removeDisjunctiveFacet:function(e){return this.isDisjunctiveFacet(e)?this.clearRefinements(e).setQueryParameters({disjunctiveFacets:this.disjunctiveFacets.filter((function(t){return t!==e}))}):this},removeHierarchicalFacet:function(e){return this.isHierarchicalFacet(e)?this.clearRefinements(e).setQueryParameters({hierarchicalFacets:this.hierarchicalFacets.filter((function(t){return t.name!==e}))}):this},removeFacetRefinement:function(e,t){if(!this.isConjunctiveFacet(e))throw new Error(e+" is not defined in the facets attribute of the helper configuration");return h.isRefined(this.facetsRefinements,e,t)?this.setQueryParameters({facetsRefinements:h.removeRefinement(this.facetsRefinements,e,t)}):this},removeExcludeRefinement:function(e,t){if(!this.isConjunctiveFacet(e))throw new Error(e+" is not defined in the facets attribute of the helper configuration");return h.isRefined(this.facetsExcludes,e,t)?this.setQueryParameters({facetsExcludes:h.removeRefinement(this.facetsExcludes,e,t)}):this},removeDisjunctiveFacetRefinement:function(e,t){if(!this.isDisjunctiveFacet(e))throw new Error(e+" is not defined in the disjunctiveFacets attribute of the helper configuration");return h.isRefined(this.disjunctiveFacetsRefinements,e,t)?this.setQueryParameters({disjunctiveFacetsRefinements:h.removeRefinement(this.disjunctiveFacetsRefinements,e,t)}):this},removeTagRefinement:function(e){if(!this.isTagRefined(e))return this;var t={tagRefinements:this.tagRefinements.filter((function(t){return t!==e}))};return this.setQueryParameters(t)},toggleRefinement:function(e,t){return this.toggleFacetRefinement(e,t)},toggleFacetRefinement:function(e,t){if(this.isHierarchicalFacet(e))return this.toggleHierarchicalFacetRefinement(e,t);if(this.isConjunctiveFacet(e))return this.toggleConjunctiveFacetRefinement(e,t);if(this.isDisjunctiveFacet(e))return this.toggleDisjunctiveFacetRefinement(e,t);throw new Error("Cannot refine the undeclared facet "+e+"; it should be added to the helper options facets, disjunctiveFacets or hierarchicalFacets")},toggleConjunctiveFacetRefinement:function(e,t){if(!this.isConjunctiveFacet(e))throw new Error(e+" is not defined in the facets attribute of the helper configuration");return this.setQueryParameters({facetsRefinements:h.toggleRefinement(this.facetsRefinements,e,t)})},toggleExcludeFacetRefinement:function(e,t){if(!this.isConjunctiveFacet(e))throw new Error(e+" is not defined in the facets attribute of the helper configuration");return this.setQueryParameters({facetsExcludes:h.toggleRefinement(this.facetsExcludes,e,t)})},toggleDisjunctiveFacetRefinement:function(e,t){if(!this.isDisjunctiveFacet(e))throw new Error(e+" is not defined in the disjunctiveFacets attribute of the helper configuration");return this.setQueryParameters({disjunctiveFacetsRefinements:h.toggleRefinement(this.disjunctiveFacetsRefinements,e,t)})},toggleHierarchicalFacetRefinement:function(e,t){if(!this.isHierarchicalFacet(e))throw new Error(e+" is not defined in the hierarchicalFacets attribute of the helper configuration");var r=this._getHierarchicalFacetSeparator(this.getHierarchicalFacetByName(e)),n={};return void 0!==this.hierarchicalFacetsRefinements[e]&&this.hierarchicalFacetsRefinements[e].length>0&&(this.hierarchicalFacetsRefinements[e][0]===t||0===this.hierarchicalFacetsRefinements[e][0].indexOf(t+r))?-1===t.indexOf(r)?n[e]=[]:n[e]=[t.slice(0,t.lastIndexOf(r))]:n[e]=[t],this.setQueryParameters({hierarchicalFacetsRefinements:i({},n,this.hierarchicalFacetsRefinements)})},addHierarchicalFacetRefinement:function(e,t){if(this.isHierarchicalFacetRefined(e))throw new Error(e+" is already refined.");if(!this.isHierarchicalFacet(e))throw new Error(e+" is not defined in the hierarchicalFacets attribute of the helper configuration.");var r={};return r[e]=[t],this.setQueryParameters({hierarchicalFacetsRefinements:i({},r,this.hierarchicalFacetsRefinements)})},removeHierarchicalFacetRefinement:function(e){if(!this.isHierarchicalFacetRefined(e))return this;var t={};return t[e]=[],this.setQueryParameters({hierarchicalFacetsRefinements:i({},t,this.hierarchicalFacetsRefinements)})},toggleTagRefinement:function(e){return this.isTagRefined(e)?this.removeTagRefinement(e):this.addTagRefinement(e)},isDisjunctiveFacet:function(e){return this.disjunctiveFacets.indexOf(e)>-1},isHierarchicalFacet:function(e){return void 0!==this.getHierarchicalFacetByName(e)},isConjunctiveFacet:function(e){return this.facets.indexOf(e)>-1},isFacetRefined:function(e,t){return!!this.isConjunctiveFacet(e)&&h.isRefined(this.facetsRefinements,e,t)},isExcludeRefined:function(e,t){return!!this.isConjunctiveFacet(e)&&h.isRefined(this.facetsExcludes,e,t)},isDisjunctiveFacetRefined:function(e,t){return!!this.isDisjunctiveFacet(e)&&h.isRefined(this.disjunctiveFacetsRefinements,e,t)},isHierarchicalFacetRefined:function(e,t){if(!this.isHierarchicalFacet(e))return!1;var r=this.getHierarchicalRefinement(e);return t?-1!==r.indexOf(t):r.length>0},isNumericRefined:function(e,t,r){if(void 0===r&&void 0===t)return!!this.numericRefinements[e];var n=this.numericRefinements[e]&&void 0!==this.numericRefinements[e][t];if(void 0===r||!n)return n;var i,a,o=c(r),u=void 0!==(i=this.numericRefinements[e][t],a=o,s(i,(function(e){return l(e,a)})));return n&&u},isTagRefined:function(e){return-1!==this.tagRefinements.indexOf(e)},getRefinedDisjunctiveFacets:function(){var e=this,t=a(Object.keys(this.numericRefinements).filter((function(t){return Object.keys(e.numericRefinements[t]).length>0})),this.disjunctiveFacets);return Object.keys(this.disjunctiveFacetsRefinements).filter((function(t){return e.disjunctiveFacetsRefinements[t].length>0})).concat(t).concat(this.getRefinedHierarchicalFacets())},getRefinedHierarchicalFacets:function(){var e=this;return a(this.hierarchicalFacets.map((function(e){return e.name})),Object.keys(this.hierarchicalFacetsRefinements).filter((function(t){return e.hierarchicalFacetsRefinements[t].length>0})))},getUnrefinedDisjunctiveFacets:function(){var e=this.getRefinedDisjunctiveFacets();return this.disjunctiveFacets.filter((function(t){return-1===e.indexOf(t)}))},managedParameters:["index","facets","disjunctiveFacets","facetsRefinements","facetsExcludes","disjunctiveFacetsRefinements","numericRefinements","tagRefinements","hierarchicalFacets","hierarchicalFacetsRefinements"],getQueryParams:function(){var e=this.managedParameters,t={},r=this;return Object.keys(this).forEach((function(n){var i=r[n];-1===e.indexOf(n)&&void 0!==i&&(t[n]=i)})),t},setQueryParameter:function(e,t){if(this[e]===t)return this;var r={};return r[e]=t,this.setQueryParameters(r)},setQueryParameters:function(e){if(!e)return this;var t=m.validate(this,e);if(t)throw t;var r=this,n=m._parseNumbers(e),i=Object.keys(this).reduce((function(e,t){return e[t]=r[t],e}),{}),a=Object.keys(n).reduce((function(e,t){var r=void 0!==e[t],i=void 0!==n[t];return r&&!i?o(e,[t]):(i&&(e[t]=n[t]),e)}),i);return new this.constructor(a)},resetPage:function(){return void 0===this.page?this:this.setPage(0)},_getHierarchicalFacetSortBy:function(e){return e.sortBy||["isRefined:desc","name:asc"]},_getHierarchicalFacetSeparator:function(e){return e.separator||" > "},_getHierarchicalRootPath:function(e){return e.rootPath||null},_getHierarchicalShowParentLevel:function(e){return"boolean"!=typeof e.showParentLevel||e.showParentLevel},getHierarchicalFacetByName:function(e){return s(this.hierarchicalFacets,(function(t){return t.name===e}))},getHierarchicalFacetBreadcrumb:function(e){if(!this.isHierarchicalFacet(e))return[];var t=this.getHierarchicalRefinement(e)[0];if(!t)return[];var r=this._getHierarchicalFacetSeparator(this.getHierarchicalFacetByName(e));return t.split(r).map((function(e){return e.trim()}))},toString:function(){return JSON.stringify(this,null,2)}},e.exports=m},184:function(e,t,r){"use strict";var n=r(158),i=r(164),a=r(185),s=r(215),c=r(159),o=r(216),u=r(186),f=r(217);function h(e){var t={};return e.forEach((function(e,r){t[e]=r})),t}function l(e,t,r){t&&t[r]&&(e.stats=t[r])}function m(e,t){var r=t[0];this._rawResults=t;var a=this;Object.keys(r).forEach((function(e){a[e]=r[e]})),this.processingTimeMS=t.reduce((function(e,t){return void 0===t.processingTimeMS?e:e+t.processingTimeMS}),0),this.disjunctiveFacets=[],this.hierarchicalFacets=e.hierarchicalFacets.map((function(){return[]})),this.facets=[];var u=e.getRefinedDisjunctiveFacets(),m=h(e.facets),d=h(e.disjunctiveFacets),p=1,v=r.facets||{};Object.keys(v).forEach((function(t){var n,i,s=v[t],u=(n=e.hierarchicalFacets,i=t,c(n,(function(e){return(e.attributes||[]).indexOf(i)>-1})));if(u){var f=u.attributes.indexOf(t),h=o(e.hierarchicalFacets,(function(e){return e.name===u.name}));a.hierarchicalFacets[h][f]={attribute:t,data:s,exhaustive:r.exhaustiveFacetsCount}}else{var p,g=-1!==e.disjunctiveFacets.indexOf(t),y=-1!==e.facets.indexOf(t);g&&(p=d[t],a.disjunctiveFacets[p]={name:t,data:s,exhaustive:r.exhaustiveFacetsCount},l(a.disjunctiveFacets[p],r.facets_stats,t)),y&&(p=m[t],a.facets[p]={name:t,data:s,exhaustive:r.exhaustiveFacetsCount},l(a.facets[p],r.facets_stats,t))}})),this.hierarchicalFacets=s(this.hierarchicalFacets),u.forEach((function(s){var c=t[p],u=c&&c.facets?c.facets:{},f=e.getHierarchicalFacetByName(s);Object.keys(u).forEach((function(t){var s,h=u[t];if(f){s=o(e.hierarchicalFacets,(function(e){return e.name===f.name}));var m=o(a.hierarchicalFacets[s],(function(e){return e.attribute===t}));if(-1===m)return;a.hierarchicalFacets[s][m].data=n({},a.hierarchicalFacets[s][m].data,h)}else{s=d[t];var p=r.facets&&r.facets[t]||{};a.disjunctiveFacets[s]={name:t,data:i({},h,p),exhaustive:c.exhaustiveFacetsCount},l(a.disjunctiveFacets[s],c.facets_stats,t),e.disjunctiveFacetsRefinements[t]&&e.disjunctiveFacetsRefinements[t].forEach((function(r){!a.disjunctiveFacets[s].data[r]&&e.disjunctiveFacetsRefinements[t].indexOf(r)>-1&&(a.disjunctiveFacets[s].data[r]=0)}))}})),p++})),e.getRefinedHierarchicalFacets().forEach((function(r){var n=e.getHierarchicalFacetByName(r),s=e._getHierarchicalFacetSeparator(n),c=e.getHierarchicalRefinement(r);if(!(0===c.length||c[0].split(s).length<2)){var u=t[p],f=u&&u.facets?u.facets:{};Object.keys(f).forEach((function(t){var r=f[t],u=o(e.hierarchicalFacets,(function(e){return e.name===n.name})),h=o(a.hierarchicalFacets[u],(function(e){return e.attribute===t}));if(-1!==h){var l={};if(c.length>0){var m=c[0].split(s)[0];l[m]=a.hierarchicalFacets[u][h].data[m]}a.hierarchicalFacets[u][h].data=i(l,r,a.hierarchicalFacets[u][h].data)}})),p++}})),Object.keys(e.facetsExcludes).forEach((function(t){var n=e.facetsExcludes[t],i=m[t];a.facets[i]={name:t,data:r.facets[t],exhaustive:r.exhaustiveFacetsCount},n.forEach((function(e){a.facets[i]=a.facets[i]||{name:t},a.facets[i].data=a.facets[i].data||{},a.facets[i].data[e]=0}))})),this.hierarchicalFacets=this.hierarchicalFacets.map(f(e)),this.facets=s(this.facets),this.disjunctiveFacets=s(this.disjunctiveFacets),this._state=e}function d(e,t){if(!t.data||0===t.data.length)return t;var r=t.data.map((function(t){return d(e,t)})),i=e(r);return n({},t,{data:i})}function p(e,t){var r=c(e,(function(e){return e.name===t}));return r&&r.stats}function v(e,t,r,n,i){var a=c(i,(function(e){return e.name===r})),s=a&&a.data&&a.data[n]?a.data[n]:0,o=a&&a.exhaustive||!1;return{type:t,attributeName:r,name:n,count:s,exhaustive:o}}m.prototype.getFacetByName=function(e){function t(t){return t.name===e}return c(this.facets,t)||c(this.disjunctiveFacets,t)||c(this.hierarchicalFacets,t)},m.DEFAULT_SORT=["isRefined:desc","count:desc","name:asc"],m.prototype.getFacetValues=function(e,t){var r=function(e,t){function r(e){return e.name===t}if(e._state.isConjunctiveFacet(t)){var n=c(e.facets,r);return n?Object.keys(n.data).map((function(r){return{name:r,count:n.data[r],isRefined:e._state.isFacetRefined(t,r),isExcluded:e._state.isExcludeRefined(t,r)}})):[]}if(e._state.isDisjunctiveFacet(t)){var i=c(e.disjunctiveFacets,r);return i?Object.keys(i.data).map((function(r){return{name:r,count:i.data[r],isRefined:e._state.isDisjunctiveFacetRefined(t,r)}})):[]}if(e._state.isHierarchicalFacet(t))return c(e.hierarchicalFacets,r)}(this,e);if(r){var n=i({},t,{sortBy:m.DEFAULT_SORT});if(Array.isArray(n.sortBy)){var s=u(n.sortBy,m.DEFAULT_SORT);return Array.isArray(r)?a(r,s[0],s[1]):d((function(e){return a(e,s[0],s[1])}),r)}if("function"==typeof n.sortBy)return Array.isArray(r)?r.sort(n.sortBy):d((function(e){return function(e,t){return t.sort(e)}(n.sortBy,e)}),r);throw new Error("options.sortBy is optional but if defined it must be either an array of string (predicates) or a sorting function")}},m.prototype.getFacetStats=function(e){return this._state.isConjunctiveFacet(e)?p(this.facets,e):this._state.isDisjunctiveFacet(e)?p(this.disjunctiveFacets,e):void 0},m.prototype.getRefinements=function(){var e=this._state,t=this,r=[];return Object.keys(e.facetsRefinements).forEach((function(n){e.facetsRefinements[n].forEach((function(i){r.push(v(e,"facet",n,i,t.facets))}))})),Object.keys(e.facetsExcludes).forEach((function(n){e.facetsExcludes[n].forEach((function(i){r.push(v(e,"exclude",n,i,t.facets))}))})),Object.keys(e.disjunctiveFacetsRefinements).forEach((function(n){e.disjunctiveFacetsRefinements[n].forEach((function(i){r.push(v(e,"disjunctive",n,i,t.disjunctiveFacets))}))})),Object.keys(e.hierarchicalFacetsRefinements).forEach((function(n){e.hierarchicalFacetsRefinements[n].forEach((function(i){r.push(function(e,t,r,n){var i=e.getHierarchicalFacetByName(t),a=e._getHierarchicalFacetSeparator(i),s=r.split(a),o=c(n,(function(e){return e.name===t})),u=s.reduce((function(e,t){var r=e&&c(e.data,(function(e){return e.name===t}));return void 0!==r?r:e}),o),f=u&&u.count||0,h=u&&u.exhaustive||!1,l=u&&u.path||"";return{type:"hierarchical",attributeName:t,name:l,count:f,exhaustive:h}}(e,n,i,t.hierarchicalFacets))}))})),Object.keys(e.numericRefinements).forEach((function(t){var n=e.numericRefinements[t];Object.keys(n).forEach((function(e){n[e].forEach((function(n){r.push({type:"numeric",attributeName:t,name:n,numericValue:n,operator:e})}))}))})),e.tagRefinements.forEach((function(e){r.push({type:"tag",attributeName:"_tags",name:e})})),r},e.exports=m},185:function(e,t,r){"use strict";function n(e,t){if(e!==t){var r=void 0!==e,n=null===e,i=void 0!==t,a=null===t;if(!a&&e>t||n&&i||!r)return 1;if(!n&&e<t||a&&r||!i)return-1}return 0}e.exports=function(e,t,r){if(!Array.isArray(e))return[];Array.isArray(r)||(r=[]);var i=e.map((function(e,r){return{criteria:t.map((function(t){return e[t]})),index:r,value:e}}));return i.sort((function(e,t){for(var i=-1;++i<e.criteria.length;){var a=n(e.criteria[i],t.criteria[i]);if(a)return i>=r.length?a:"desc"===r[i]?-a:a}return e.index-t.index})),i.map((function(e){return e.value}))}},186:function(e,t,r){"use strict";var n=r(159);e.exports=function(e,t){var r=(t||[]).map((function(e){return e.split(":")}));return e.reduce((function(e,t){var i=t.split(":"),a=n(r,(function(e){return e[0]===i[0]}));return i.length>1||!a?(e[0].push(i[0]),e[1].push(i[1]),e):(e[0].push(a[0]),e[1].push(a[1]),e)}),[[],[]])}},187:function(e,t,r){"use strict";var n,i="object"==typeof Reflect?Reflect:null,a=i&&"function"==typeof i.apply?i.apply:function(e,t,r){return Function.prototype.apply.call(e,t,r)};n=i&&"function"==typeof i.ownKeys?i.ownKeys:Object.getOwnPropertySymbols?function(e){return Object.getOwnPropertyNames(e).concat(Object.getOwnPropertySymbols(e))}:function(e){return Object.getOwnPropertyNames(e)};var s=Number.isNaN||function(e){return e!=e};function c(){c.init.call(this)}e.exports=c,e.exports.once=function(e,t){return new Promise((function(r,n){function i(r){e.removeListener(t,a),n(r)}function a(){"function"==typeof e.removeListener&&e.removeListener("error",i),r([].slice.call(arguments))}g(e,t,a,{once:!0}),"error"!==t&&function(e,t,r){"function"==typeof e.on&&g(e,"error",t,r)}(e,i,{once:!0})}))},c.EventEmitter=c,c.prototype._events=void 0,c.prototype._eventsCount=0,c.prototype._maxListeners=void 0;var o=10;function u(e){if("function"!=typeof e)throw new TypeError('The "listener" argument must be of type Function. Received type '+typeof e)}function f(e){return void 0===e._maxListeners?c.defaultMaxListeners:e._maxListeners}function h(e,t,r,n){var i,a,s,c;if(u(r),void 0===(a=e._events)?(a=e._events=Object.create(null),e._eventsCount=0):(void 0!==a.newListener&&(e.emit("newListener",t,r.listener?r.listener:r),a=e._events),s=a[t]),void 0===s)s=a[t]=r,++e._eventsCount;else if("function"==typeof s?s=a[t]=n?[r,s]:[s,r]:n?s.unshift(r):s.push(r),(i=f(e))>0&&s.length>i&&!s.warned){s.warned=!0;var o=new Error("Possible EventEmitter memory leak detected. "+s.length+" "+String(t)+" listeners added. Use emitter.setMaxListeners() to increase limit");o.name="MaxListenersExceededWarning",o.emitter=e,o.type=t,o.count=s.length,c=o,console&&console.warn&&console.warn(c)}return e}function l(){if(!this.fired)return this.target.removeListener(this.type,this.wrapFn),this.fired=!0,0===arguments.length?this.listener.call(this.target):this.listener.apply(this.target,arguments)}function m(e,t,r){var n={fired:!1,wrapFn:void 0,target:e,type:t,listener:r},i=l.bind(n);return i.listener=r,n.wrapFn=i,i}function d(e,t,r){var n=e._events;if(void 0===n)return[];var i=n[t];return void 0===i?[]:"function"==typeof i?r?[i.listener||i]:[i]:r?function(e){for(var t=new Array(e.length),r=0;r<t.length;++r)t[r]=e[r].listener||e[r];return t}(i):v(i,i.length)}function p(e){var t=this._events;if(void 0!==t){var r=t[e];if("function"==typeof r)return 1;if(void 0!==r)return r.length}return 0}function v(e,t){for(var r=new Array(t),n=0;n<t;++n)r[n]=e[n];return r}function g(e,t,r,n){if("function"==typeof e.on)n.once?e.once(t,r):e.on(t,r);else{if("function"!=typeof e.addEventListener)throw new TypeError('The "emitter" argument must be of type EventEmitter. Received type '+typeof e);e.addEventListener(t,(function i(a){n.once&&e.removeEventListener(t,i),r(a)}))}}Object.defineProperty(c,"defaultMaxListeners",{enumerable:!0,get:function(){return o},set:function(e){if("number"!=typeof e||e<0||s(e))throw new RangeError('The value of "defaultMaxListeners" is out of range. It must be a non-negative number. Received '+e+".");o=e}}),c.init=function(){void 0!==this._events&&this._events!==Object.getPrototypeOf(this)._events||(this._events=Object.create(null),this._eventsCount=0),this._maxListeners=this._maxListeners||void 0},c.prototype.setMaxListeners=function(e){if("number"!=typeof e||e<0||s(e))throw new RangeError('The value of "n" is out of range. It must be a non-negative number. Received '+e+".");return this._maxListeners=e,this},c.prototype.getMaxListeners=function(){return f(this)},c.prototype.emit=function(e){for(var t=[],r=1;r<arguments.length;r++)t.push(arguments[r]);var n="error"===e,i=this._events;if(void 0!==i)n=n&&void 0===i.error;else if(!n)return!1;if(n){var s;if(t.length>0&&(s=t[0]),s instanceof Error)throw s;var c=new Error("Unhandled error."+(s?" ("+s.message+")":""));throw c.context=s,c}var o=i[e];if(void 0===o)return!1;if("function"==typeof o)a(o,this,t);else{var u=o.length,f=v(o,u);for(r=0;r<u;++r)a(f[r],this,t)}return!0},c.prototype.addListener=function(e,t){return h(this,e,t,!1)},c.prototype.on=c.prototype.addListener,c.prototype.prependListener=function(e,t){return h(this,e,t,!0)},c.prototype.once=function(e,t){return u(t),this.on(e,m(this,e,t)),this},c.prototype.prependOnceListener=function(e,t){return u(t),this.prependListener(e,m(this,e,t)),this},c.prototype.removeListener=function(e,t){var r,n,i,a,s;if(u(t),void 0===(n=this._events))return this;if(void 0===(r=n[e]))return this;if(r===t||r.listener===t)0==--this._eventsCount?this._events=Object.create(null):(delete n[e],n.removeListener&&this.emit("removeListener",e,r.listener||t));else if("function"!=typeof r){for(i=-1,a=r.length-1;a>=0;a--)if(r[a]===t||r[a].listener===t){s=r[a].listener,i=a;break}if(i<0)return this;0===i?r.shift():function(e,t){for(;t+1<e.length;t++)e[t]=e[t+1];e.pop()}(r,i),1===r.length&&(n[e]=r[0]),void 0!==n.removeListener&&this.emit("removeListener",e,s||t)}return this},c.prototype.off=c.prototype.removeListener,c.prototype.removeAllListeners=function(e){var t,r,n;if(void 0===(r=this._events))return this;if(void 0===r.removeListener)return 0===arguments.length?(this._events=Object.create(null),this._eventsCount=0):void 0!==r[e]&&(0==--this._eventsCount?this._events=Object.create(null):delete r[e]),this;if(0===arguments.length){var i,a=Object.keys(r);for(n=0;n<a.length;++n)"removeListener"!==(i=a[n])&&this.removeAllListeners(i);return this.removeAllListeners("removeListener"),this._events=Object.create(null),this._eventsCount=0,this}if("function"==typeof(t=r[e]))this.removeListener(e,t);else if(void 0!==t)for(n=t.length-1;n>=0;n--)this.removeListener(e,t[n]);return this},c.prototype.listeners=function(e){return d(this,e,!0)},c.prototype.rawListeners=function(e){return d(this,e,!1)},c.listenerCount=function(e,t){return"function"==typeof e.listenerCount?e.listenerCount(t):p.call(e,t)},c.prototype.listenerCount=p,c.prototype.eventNames=function(){return this._eventsCount>0?n(this._events):[]}},188:function(e,t,r){"use strict";e.exports=function(e,t){e.prototype=Object.create(t.prototype,{constructor:{value:e,enumerable:!1,writable:!0,configurable:!0}})}},189:function(e,t,r){"use strict";e.exports="3.4.4"},209:function(e,t,r){"use strict";var n=r(210),i=r(183),a=r(184);function s(e,t,r){return new n(e,t,r)}s.version=r(189),s.AlgoliaSearchHelper=n,s.SearchParameters=i,s.SearchResults=a,e.exports=s},210:function(e,t,r){"use strict";var n=r(183),i=r(184),a=r(218),s=r(219),c=r(187),o=r(188),u=r(166),f=r(165),h=r(158),l=r(189);function m(e,t,r){"function"==typeof e.addAlgoliaAgent&&e.addAlgoliaAgent("JS Helper ("+l+")"),this.setClient(e);var i=r||{};i.index=t,this.state=n.make(i),this.lastResults=null,this._queryId=0,this._lastQueryIdReceived=-1,this.derivedHelpers=[],this._currentNbQueries=0}function d(e){if(e<0)throw new Error("Page requested below 0.");return this._change({state:this.state.setPage(e),isPageReset:!1}),this}function p(){return this.state.page}o(m,c.EventEmitter),m.prototype.search=function(){return this._search({onlyWithDerivedHelpers:!1}),this},m.prototype.searchOnlyWithDerivedHelpers=function(){return this._search({onlyWithDerivedHelpers:!0}),this},m.prototype.getQuery=function(){var e=this.state;return s._getHitsSearchParams(e)},m.prototype.searchOnce=function(e,t){var r=e?this.state.setQueryParameters(e):this.state,n=s._getQueries(r.index,r),a=this;if(this._currentNbQueries++,this.emit("searchOnce",{state:r}),!t)return this.client.search(n).then((function(e){return a._currentNbQueries--,0===a._currentNbQueries&&a.emit("searchQueueEmpty"),{content:new i(r,e.results),state:r,_originalResponse:e}}),(function(e){throw a._currentNbQueries--,0===a._currentNbQueries&&a.emit("searchQueueEmpty"),e}));this.client.search(n).then((function(e){a._currentNbQueries--,0===a._currentNbQueries&&a.emit("searchQueueEmpty"),t(null,new i(r,e.results),r)})).catch((function(e){a._currentNbQueries--,0===a._currentNbQueries&&a.emit("searchQueueEmpty"),t(e,null,r)}))},m.prototype.findAnswers=function(e){var t=this.state,r=this.derivedHelpers[0];if(!r)return Promise.resolve([]);var n=r.getModifiedState(t),i=h({attributesForPrediction:e.attributesForPrediction,nbHits:e.nbHits},{params:f(s._getHitsSearchParams(n),["attributesToSnippet","hitsPerPage","restrictSearchableAttributes","snippetEllipsisText"])}),a="search for answers was called, but this client does not have a function client.initIndex(index).findAnswers";if("function"!=typeof this.client.initIndex)throw new Error(a);var c=this.client.initIndex(n.index);if("function"!=typeof c.findAnswers)throw new Error(a);return c.findAnswers(n.query,e.queryLanguages,i)},m.prototype.searchForFacetValues=function(e,t,r,n){var i="function"==typeof this.client.searchForFacetValues;if(!i&&"function"!=typeof this.client.initIndex)throw new Error("search for facet values (searchable) was called, but this client does not have a function client.searchForFacetValues or client.initIndex(index).searchForFacetValues");var a=this.state.setQueryParameters(n||{}),c=a.isDisjunctiveFacet(e),o=s.getSearchForFacetQuery(e,t,r,a);this._currentNbQueries++;var u=this;return this.emit("searchForFacetValues",{state:a,facet:e,query:t}),(i?this.client.searchForFacetValues([{indexName:a.index,params:o}]):this.client.initIndex(a.index).searchForFacetValues(o)).then((function(t){return u._currentNbQueries--,0===u._currentNbQueries&&u.emit("searchQueueEmpty"),(t=Array.isArray(t)?t[0]:t).facetHits.forEach((function(t){t.isRefined=c?a.isDisjunctiveFacetRefined(e,t.value):a.isFacetRefined(e,t.value)})),t}),(function(e){throw u._currentNbQueries--,0===u._currentNbQueries&&u.emit("searchQueueEmpty"),e}))},m.prototype.setQuery=function(e){return this._change({state:this.state.resetPage().setQuery(e),isPageReset:!0}),this},m.prototype.clearRefinements=function(e){return this._change({state:this.state.resetPage().clearRefinements(e),isPageReset:!0}),this},m.prototype.clearTags=function(){return this._change({state:this.state.resetPage().clearTags(),isPageReset:!0}),this},m.prototype.addDisjunctiveFacetRefinement=function(e,t){return this._change({state:this.state.resetPage().addDisjunctiveFacetRefinement(e,t),isPageReset:!0}),this},m.prototype.addDisjunctiveRefine=function(){return this.addDisjunctiveFacetRefinement.apply(this,arguments)},m.prototype.addHierarchicalFacetRefinement=function(e,t){return this._change({state:this.state.resetPage().addHierarchicalFacetRefinement(e,t),isPageReset:!0}),this},m.prototype.addNumericRefinement=function(e,t,r){return this._change({state:this.state.resetPage().addNumericRefinement(e,t,r),isPageReset:!0}),this},m.prototype.addFacetRefinement=function(e,t){return this._change({state:this.state.resetPage().addFacetRefinement(e,t),isPageReset:!0}),this},m.prototype.addRefine=function(){return this.addFacetRefinement.apply(this,arguments)},m.prototype.addFacetExclusion=function(e,t){return this._change({state:this.state.resetPage().addExcludeRefinement(e,t),isPageReset:!0}),this},m.prototype.addExclude=function(){return this.addFacetExclusion.apply(this,arguments)},m.prototype.addTag=function(e){return this._change({state:this.state.resetPage().addTagRefinement(e),isPageReset:!0}),this},m.prototype.removeNumericRefinement=function(e,t,r){return this._change({state:this.state.resetPage().removeNumericRefinement(e,t,r),isPageReset:!0}),this},m.prototype.removeDisjunctiveFacetRefinement=function(e,t){return this._change({state:this.state.resetPage().removeDisjunctiveFacetRefinement(e,t),isPageReset:!0}),this},m.prototype.removeDisjunctiveRefine=function(){return this.removeDisjunctiveFacetRefinement.apply(this,arguments)},m.prototype.removeHierarchicalFacetRefinement=function(e){return this._change({state:this.state.resetPage().removeHierarchicalFacetRefinement(e),isPageReset:!0}),this},m.prototype.removeFacetRefinement=function(e,t){return this._change({state:this.state.resetPage().removeFacetRefinement(e,t),isPageReset:!0}),this},m.prototype.removeRefine=function(){return this.removeFacetRefinement.apply(this,arguments)},m.prototype.removeFacetExclusion=function(e,t){return this._change({state:this.state.resetPage().removeExcludeRefinement(e,t),isPageReset:!0}),this},m.prototype.removeExclude=function(){return this.removeFacetExclusion.apply(this,arguments)},m.prototype.removeTag=function(e){return this._change({state:this.state.resetPage().removeTagRefinement(e),isPageReset:!0}),this},m.prototype.toggleFacetExclusion=function(e,t){return this._change({state:this.state.resetPage().toggleExcludeFacetRefinement(e,t),isPageReset:!0}),this},m.prototype.toggleExclude=function(){return this.toggleFacetExclusion.apply(this,arguments)},m.prototype.toggleRefinement=function(e,t){return this.toggleFacetRefinement(e,t)},m.prototype.toggleFacetRefinement=function(e,t){return this._change({state:this.state.resetPage().toggleFacetRefinement(e,t),isPageReset:!0}),this},m.prototype.toggleRefine=function(){return this.toggleFacetRefinement.apply(this,arguments)},m.prototype.toggleTag=function(e){return this._change({state:this.state.resetPage().toggleTagRefinement(e),isPageReset:!0}),this},m.prototype.nextPage=function(){var e=this.state.page||0;return this.setPage(e+1)},m.prototype.previousPage=function(){var e=this.state.page||0;return this.setPage(e-1)},m.prototype.setCurrentPage=d,m.prototype.setPage=d,m.prototype.setIndex=function(e){return this._change({state:this.state.resetPage().setIndex(e),isPageReset:!0}),this},m.prototype.setQueryParameter=function(e,t){return this._change({state:this.state.resetPage().setQueryParameter(e,t),isPageReset:!0}),this},m.prototype.setState=function(e){return this._change({state:n.make(e),isPageReset:!1}),this},m.prototype.overrideStateWithoutTriggeringChangeEvent=function(e){return this.state=new n(e),this},m.prototype.hasRefinements=function(e){return!!u(this.state.getNumericRefinements(e))||(this.state.isConjunctiveFacet(e)?this.state.isFacetRefined(e):this.state.isDisjunctiveFacet(e)?this.state.isDisjunctiveFacetRefined(e):!!this.state.isHierarchicalFacet(e)&&this.state.isHierarchicalFacetRefined(e))},m.prototype.isExcluded=function(e,t){return this.state.isExcludeRefined(e,t)},m.prototype.isDisjunctiveRefined=function(e,t){return this.state.isDisjunctiveFacetRefined(e,t)},m.prototype.hasTag=function(e){return this.state.isTagRefined(e)},m.prototype.isTagRefined=function(){return this.hasTagRefinements.apply(this,arguments)},m.prototype.getIndex=function(){return this.state.index},m.prototype.getCurrentPage=p,m.prototype.getPage=p,m.prototype.getTags=function(){return this.state.tagRefinements},m.prototype.getRefinements=function(e){var t=[];if(this.state.isConjunctiveFacet(e))this.state.getConjunctiveRefinements(e).forEach((function(e){t.push({value:e,type:"conjunctive"})})),this.state.getExcludeRefinements(e).forEach((function(e){t.push({value:e,type:"exclude"})}));else if(this.state.isDisjunctiveFacet(e)){this.state.getDisjunctiveRefinements(e).forEach((function(e){t.push({value:e,type:"disjunctive"})}))}var r=this.state.getNumericRefinements(e);return Object.keys(r).forEach((function(e){var n=r[e];t.push({value:n,operator:e,type:"numeric"})})),t},m.prototype.getNumericRefinement=function(e,t){return this.state.getNumericRefinement(e,t)},m.prototype.getHierarchicalFacetBreadcrumb=function(e){return this.state.getHierarchicalFacetBreadcrumb(e)},m.prototype._search=function(e){var t=this.state,r=[],n=[];e.onlyWithDerivedHelpers||(n=s._getQueries(t.index,t),r.push({state:t,queriesCount:n.length,helper:this}),this.emit("search",{state:t,results:this.lastResults}));var i=this.derivedHelpers.map((function(e){var n=e.getModifiedState(t),i=s._getQueries(n.index,n);return r.push({state:n,queriesCount:i.length,helper:e}),e.emit("search",{state:n,results:e.lastResults}),i})),a=Array.prototype.concat.apply(n,i),c=this._queryId++;this._currentNbQueries++;try{this.client.search(a).then(this._dispatchAlgoliaResponse.bind(this,r,c)).catch(this._dispatchAlgoliaError.bind(this,c))}catch(o){this.emit("error",{error:o})}},m.prototype._dispatchAlgoliaResponse=function(e,t,r){if(!(t<this._lastQueryIdReceived)){this._currentNbQueries-=t-this._lastQueryIdReceived,this._lastQueryIdReceived=t,0===this._currentNbQueries&&this.emit("searchQueueEmpty");var n=r.results.slice();e.forEach((function(e){var t=e.state,r=e.queriesCount,a=e.helper,s=n.splice(0,r),c=a.lastResults=new i(t,s);a.emit("result",{results:c,state:t})}))}},m.prototype._dispatchAlgoliaError=function(e,t){e<this._lastQueryIdReceived||(this._currentNbQueries-=e-this._lastQueryIdReceived,this._lastQueryIdReceived=e,this.emit("error",{error:t}),0===this._currentNbQueries&&this.emit("searchQueueEmpty"))},m.prototype.containsRefinement=function(e,t,r,n){return e||0!==t.length||0!==r.length||0!==n.length},m.prototype._hasDisjunctiveRefinements=function(e){return this.state.disjunctiveRefinements[e]&&this.state.disjunctiveRefinements[e].length>0},m.prototype._change=function(e){var t=e.state,r=e.isPageReset;t!==this.state&&(this.state=t,this.emit("change",{state:this.state,results:this.lastResults,isPageReset:r}))},m.prototype.clearCache=function(){return this.client.clearCache&&this.client.clearCache(),this},m.prototype.setClient=function(e){return this.client===e||("function"==typeof e.addAlgoliaAgent&&e.addAlgoliaAgent("JS Helper ("+l+")"),this.client=e),this},m.prototype.getClient=function(){return this.client},m.prototype.derive=function(e){var t=new a(this,e);return this.derivedHelpers.push(t),t},m.prototype.detachDerivedHelper=function(e){var t=this.derivedHelpers.indexOf(e);if(-1===t)throw new Error("Derived helper already detached");this.derivedHelpers.splice(t,1)},m.prototype.hasPendingRequests=function(){return this._currentNbQueries>0},e.exports=m},211:function(e,t,r){"use strict";e.exports=function(e,t){return e.filter((function(r,n){return t.indexOf(r)>-1&&e.indexOf(r)===n}))}},212:function(e,t,r){"use strict";e.exports=function e(t){if("number"==typeof t)return t;if("string"==typeof t)return parseFloat(t);if(Array.isArray(t))return t.map(e);throw new Error("The value should be a number, a parsable string or an array of those.")}},213:function(e,t,r){"use strict";e.exports=function(e){return null!==e&&/^[a-zA-Z0-9_-]{1,64}$/.test(e)}},214:function(e,t,r){"use strict";var n=r(164),i=r(165),a=r(166),s={addRefinement:function(e,t,r){if(s.isRefined(e,t,r))return e;var i=""+r,a=e[t]?e[t].concat(i):[i],c={};return c[t]=a,n({},c,e)},removeRefinement:function(e,t,r){if(void 0===r)return s.clearRefinement(e,(function(e,r){return t===r}));var n=""+r;return s.clearRefinement(e,(function(e,r){return t===r&&n===e}))},toggleRefinement:function(e,t,r){if(void 0===r)throw new Error("toggleRefinement should be used with a value");return s.isRefined(e,t,r)?s.removeRefinement(e,t,r):s.addRefinement(e,t,r)},clearRefinement:function(e,t,r){if(void 0===t)return a(e)?{}:e;if("string"==typeof t)return i(e,[t]);if("function"==typeof t){var n=!1,s=Object.keys(e).reduce((function(i,a){var s=e[a]||[],c=s.filter((function(e){return!t(e,a,r)}));return c.length!==s.length&&(n=!0),i[a]=c,i}),{});return n?s:e}},isRefined:function(e,t,r){var n=!!e[t]&&e[t].length>0;if(void 0===r||!n)return n;var i=""+r;return-1!==e[t].indexOf(i)}};e.exports=s},215:function(e,t,r){"use strict";e.exports=function(e){return Array.isArray(e)?e.filter(Boolean):[]}},216:function(e,t,r){"use strict";e.exports=function(e,t){if(!Array.isArray(e))return-1;for(var r=0;r<e.length;r++)if(t(e[r]))return r;return-1}},217:function(e,t,r){"use strict";e.exports=function(e){return function(t,r){var s=e.hierarchicalFacets[r],c=e.hierarchicalFacetsRefinements[s.name]&&e.hierarchicalFacetsRefinements[s.name][0]||"",o=e._getHierarchicalFacetSeparator(s),u=e._getHierarchicalRootPath(s),f=e._getHierarchicalShowParentLevel(s),h=a(e._getHierarchicalFacetSortBy(s)),l=t.every((function(e){return e.exhaustive})),m=function(e,t,r,a,s){return function(c,o,u){var f=c;if(u>0){var h=0;for(f=c;h<u;){var l=f&&Array.isArray(f.data)?f.data:[];f=i(l,(function(e){return e.isRefined})),h++}}if(f){var m=Object.keys(o.data).map((function(e){return[e,o.data[e]]})).filter((function(e){return function(e,t,r,n,i,a){if(i&&(0!==e.indexOf(i)||i===e))return!1;return!i&&-1===e.indexOf(n)||i&&e.split(n).length-i.split(n).length==1||-1===e.indexOf(n)&&-1===r.indexOf(n)||0===r.indexOf(e)||0===e.indexOf(t+n)&&(a||0===e.indexOf(r))}(e[0],f.path||r,s,t,r,a)}));f.data=n(m.map((function(e){var r=e[0];return function(e,t,r,n,i){var a=t.split(r);return{name:a[a.length-1].trim(),path:t,count:e,isRefined:n===t||0===n.indexOf(t+r),exhaustive:i,data:null}}(e[1],r,t,s,o.exhaustive)})),e[0],e[1])}return c}}(h,o,u,f,c),d=t;return u&&(d=t.slice(u.split(o).length)),d.reduce(m,{name:e.hierarchicalFacets[r].name,count:null,isRefined:!0,path:null,exhaustive:l,data:null})}};var n=r(185),i=r(159),a=r(186)},218:function(e,t,r){"use strict";var n=r(187);function i(e,t){this.main=e,this.fn=t,this.lastResults=null}r(188)(i,n.EventEmitter),i.prototype.detach=function(){this.removeAllListeners(),this.main.detachDerivedHelper(this)},i.prototype.getModifiedState=function(e){return this.fn(e)},e.exports=i},219:function(e,t,r){"use strict";var n=r(158),i={_getQueries:function(e,t){var r=[];return r.push({indexName:e,params:i._getHitsSearchParams(t)}),t.getRefinedDisjunctiveFacets().forEach((function(n){r.push({indexName:e,params:i._getDisjunctiveFacetSearchParams(t,n)})})),t.getRefinedHierarchicalFacets().forEach((function(n){var a=t.getHierarchicalFacetByName(n),s=t.getHierarchicalRefinement(n),c=t._getHierarchicalFacetSeparator(a);s.length>0&&s[0].split(c).length>1&&r.push({indexName:e,params:i._getDisjunctiveFacetSearchParams(t,n,!0)})})),r},_getHitsSearchParams:function(e){var t=e.facets.concat(e.disjunctiveFacets).concat(i._getHitsHierarchicalFacetsAttributes(e)),r=i._getFacetFilters(e),a=i._getNumericFilters(e),s={facets:t,tagFilters:i._getTagFilters(e)};return r.length>0&&(s.facetFilters=r),a.length>0&&(s.numericFilters=a),n({},e.getQueryParams(),s)},_getDisjunctiveFacetSearchParams:function(e,t,r){var a=i._getFacetFilters(e,t,r),s=i._getNumericFilters(e,t),c={hitsPerPage:1,page:0,attributesToRetrieve:[],attributesToHighlight:[],attributesToSnippet:[],tagFilters:i._getTagFilters(e),analytics:!1,clickAnalytics:!1},o=e.getHierarchicalFacetByName(t);return c.facets=o?i._getDisjunctiveHierarchicalFacetAttribute(e,o,r):t,s.length>0&&(c.numericFilters=s),a.length>0&&(c.facetFilters=a),n({},e.getQueryParams(),c)},_getNumericFilters:function(e,t){if(e.numericFilters)return e.numericFilters;var r=[];return Object.keys(e.numericRefinements).forEach((function(n){var i=e.numericRefinements[n]||{};Object.keys(i).forEach((function(e){var a=i[e]||[];t!==n&&a.forEach((function(t){if(Array.isArray(t)){var i=t.map((function(t){return n+e+t}));r.push(i)}else r.push(n+e+t)}))}))})),r},_getTagFilters:function(e){return e.tagFilters?e.tagFilters:e.tagRefinements.join(",")},_getFacetFilters:function(e,t,r){var n=[],i=e.facetsRefinements||{};Object.keys(i).forEach((function(e){(i[e]||[]).forEach((function(t){n.push(e+":"+t)}))}));var a=e.facetsExcludes||{};Object.keys(a).forEach((function(e){(a[e]||[]).forEach((function(t){n.push(e+":-"+t)}))}));var s=e.disjunctiveFacetsRefinements||{};Object.keys(s).forEach((function(e){var r=s[e]||[];if(e!==t&&r&&0!==r.length){var i=[];r.forEach((function(t){i.push(e+":"+t)})),n.push(i)}}));var c=e.hierarchicalFacetsRefinements||{};return Object.keys(c).forEach((function(i){var a=(c[i]||[])[0];if(void 0!==a){var s,o,u=e.getHierarchicalFacetByName(i),f=e._getHierarchicalFacetSeparator(u),h=e._getHierarchicalRootPath(u);if(t===i){if(-1===a.indexOf(f)||!h&&!0===r||h&&h.split(f).length===a.split(f).length)return;h?(o=h.split(f).length-1,a=h):(o=a.split(f).length-2,a=a.slice(0,a.lastIndexOf(f))),s=u.attributes[o]}else o=a.split(f).length-1,s=u.attributes[o];s&&n.push([s+":"+a])}})),n},_getHitsHierarchicalFacetsAttributes:function(e){return e.hierarchicalFacets.reduce((function(t,r){var n=e.getHierarchicalRefinement(r.name)[0];if(!n)return t.push(r.attributes[0]),t;var i=e._getHierarchicalFacetSeparator(r),a=n.split(i).length,s=r.attributes.slice(0,a+1);return t.concat(s)}),[])},_getDisjunctiveHierarchicalFacetAttribute:function(e,t,r){var n=e._getHierarchicalFacetSeparator(t);if(!0===r){var i=e._getHierarchicalRootPath(t),a=0;return i&&(a=i.split(n).length),[t.attributes[a]]}var s=(e.getHierarchicalRefinement(t.name)[0]||"").split(n).length-1;return t.attributes.slice(0,s+1)},getSearchForFacetQuery:function(e,t,r,a){var s=a.isDisjunctiveFacet(e)?a.clearRefinements(e):a,c={facetQuery:t,facetName:e};return"number"==typeof r&&(c.maxFacetHits=r),n({},i._getHitsSearchParams(s),c)}};e.exports=i},220:function(e,t,r){e.exports=function(){"use strict";function e(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function t(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function r(r){for(var n=1;n<arguments.length;n++){var i=null!=arguments[n]?arguments[n]:{};n%2?t(Object(i),!0).forEach((function(t){e(r,t,i[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(r,Object.getOwnPropertyDescriptors(i)):t(Object(i)).forEach((function(e){Object.defineProperty(r,e,Object.getOwnPropertyDescriptor(i,e))}))}return r}function n(e,t){if(null==e)return{};var r,n,i=function(e,t){if(null==e)return{};var r,n,i={},a=Object.keys(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||(i[r]=e[r]);return i}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(i[r]=e[r])}return i}function i(e,t){return function(e){if(Array.isArray(e))return e}(e)||function(e,t){if(Symbol.iterator in Object(e)||"[object Arguments]"===Object.prototype.toString.call(e)){var r=[],n=!0,i=!1,a=void 0;try{for(var s,c=e[Symbol.iterator]();!(n=(s=c.next()).done)&&(r.push(s.value),!t||r.length!==t);n=!0);}catch(e){i=!0,a=e}finally{try{n||null==c.return||c.return()}finally{if(i)throw a}}return r}}(e,t)||function(){throw new TypeError("Invalid attempt to destructure non-iterable instance")}()}function a(e){return function(e){if(Array.isArray(e)){for(var t=0,r=new Array(e.length);t<e.length;t++)r[t]=e[t];return r}}(e)||function(e){if(Symbol.iterator in Object(e)||"[object Arguments]"===Object.prototype.toString.call(e))return Array.from(e)}(e)||function(){throw new TypeError("Invalid attempt to spread non-iterable instance")}()}function s(e){var t,r="algoliasearch-client-js-".concat(e.key),n=function(){return void 0===t&&(t=e.localStorage||window.localStorage),t},a=function(){return JSON.parse(n().getItem(r)||"{}")};return{get:function(e,t){var r=arguments.length>2&&void 0!==arguments[2]?arguments[2]:{miss:function(){return Promise.resolve()}};return Promise.resolve().then((function(){var r=JSON.stringify(e),n=a()[r];return Promise.all([n||t(),void 0!==n])})).then((function(e){var t=i(e,2),n=t[0],a=t[1];return Promise.all([n,a||r.miss(n)])})).then((function(e){return i(e,1)[0]}))},set:function(e,t){return Promise.resolve().then((function(){var i=a();return i[JSON.stringify(e)]=t,n().setItem(r,JSON.stringify(i)),t}))},delete:function(e){return Promise.resolve().then((function(){var t=a();delete t[JSON.stringify(e)],n().setItem(r,JSON.stringify(t))}))},clear:function(){return Promise.resolve().then((function(){n().removeItem(r)}))}}}function c(e){var t=a(e.caches),r=t.shift();return void 0===r?{get:function(e,t){var r=arguments.length>2&&void 0!==arguments[2]?arguments[2]:{miss:function(){return Promise.resolve()}};return t().then((function(e){return Promise.all([e,r.miss(e)])})).then((function(e){return i(e,1)[0]}))},set:function(e,t){return Promise.resolve(t)},delete:function(e){return Promise.resolve()},clear:function(){return Promise.resolve()}}:{get:function(e,n){var i=arguments.length>2&&void 0!==arguments[2]?arguments[2]:{miss:function(){return Promise.resolve()}};return r.get(e,n,i).catch((function(){return c({caches:t}).get(e,n,i)}))},set:function(e,n){return r.set(e,n).catch((function(){return c({caches:t}).set(e,n)}))},delete:function(e){return r.delete(e).catch((function(){return c({caches:t}).delete(e)}))},clear:function(){return r.clear().catch((function(){return c({caches:t}).clear()}))}}}function o(){var e=arguments.length>0&&void 0!==arguments[0]?arguments[0]:{serializable:!0},t={};return{get:function(r,n){var i=arguments.length>2&&void 0!==arguments[2]?arguments[2]:{miss:function(){return Promise.resolve()}},a=JSON.stringify(r);if(a in t)return Promise.resolve(e.serializable?JSON.parse(t[a]):t[a]);var s=n(),c=i&&i.miss||function(){return Promise.resolve()};return s.then((function(e){return c(e)})).then((function(){return s}))},set:function(r,n){return t[JSON.stringify(r)]=e.serializable?JSON.stringify(n):n,Promise.resolve(n)},delete:function(e){return delete t[JSON.stringify(e)],Promise.resolve()},clear:function(){return t={},Promise.resolve()}}}function u(e){for(var t=e.length-1;t>0;t--){var r=Math.floor(Math.random()*(t+1)),n=e[t];e[t]=e[r],e[r]=n}return e}function f(e,t){return t?(Object.keys(t).forEach((function(r){e[r]=t[r](e)})),e):e}function h(e){for(var t=arguments.length,r=new Array(t>1?t-1:0),n=1;n<t;n++)r[n-1]=arguments[n];var i=0;return e.replace(/%s/g,(function(){return encodeURIComponent(r[i++])}))}var l={WithinQueryParameters:0,WithinHeaders:1};function m(e,t){var r=e||{},n=r.data||{};return Object.keys(r).forEach((function(e){-1===["timeout","headers","queryParameters","data","cacheable"].indexOf(e)&&(n[e]=r[e])})),{data:Object.entries(n).length>0?n:void 0,timeout:r.timeout||t,headers:r.headers||{},queryParameters:r.queryParameters||{},cacheable:r.cacheable}}var d={Read:1,Write:2,Any:3},p=1,v=2,g=3;function y(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:p;return r(r({},e),{},{status:t,lastUpdate:Date.now()})}function R(e){return"string"==typeof e?{protocol:"https",url:e,accept:d.Any}:{protocol:e.protocol||"https",url:e.url,accept:e.accept||d.Any}}var F="GET",b="POST";function j(e,t){return Promise.all(t.map((function(t){return e.get(t,(function(){return Promise.resolve(y(t))}))}))).then((function(e){var r=e.filter((function(e){return function(e){return e.status===p||Date.now()-e.lastUpdate>12e4}(e)})),n=e.filter((function(e){return function(e){return e.status===g&&Date.now()-e.lastUpdate<=12e4}(e)})),i=[].concat(a(r),a(n));return{getTimeout:function(e,t){return(0===n.length&&0===e?1:n.length+3+e)*t},statelessHosts:i.length>0?i.map((function(e){return R(e)})):t}}))}function P(e,t,n,i){var s=[],c=function(e,t){if(e.method!==F&&(void 0!==e.data||void 0!==t.data)){var n=Array.isArray(e.data)?e.data:r(r({},e.data),t.data);return JSON.stringify(n)}}(n,i),o=function(e,t){var n=r(r({},e.headers),t.headers),i={};return Object.keys(n).forEach((function(e){var t=n[e];i[e.toLowerCase()]=t})),i}(e,i),u=n.method,f=n.method!==F?{}:r(r({},n.data),i.data),h=r(r(r({"x-algolia-agent":e.userAgent.value},e.queryParameters),f),i.queryParameters),l=0,m=function t(r,a){var f=r.pop();if(void 0===f)throw{name:"RetryError",message:"Unreachable hosts - your application id may be incorrect. If the error persists, contact support@algolia.com.",transporterStackTrace:w(s)};var m={data:c,headers:o,method:u,url:x(f,n.path,h),connectTimeout:a(l,e.timeouts.connect),responseTimeout:a(l,i.timeout)},d=function(e){var t={request:m,response:e,host:f,triesLeft:r.length};return s.push(t),t},p={onSuccess:function(e){return function(e){try{return JSON.parse(e.content)}catch(t){throw function(e,t){return{name:"DeserializationError",message:e,response:t}}(t.message,e)}}(e)},onRetry:function(n){var i=d(n);return n.isTimedOut&&l++,Promise.all([e.logger.info("Retryable failure",_(i)),e.hostsCache.set(f,y(f,n.isTimedOut?g:v))]).then((function(){return t(r,a)}))},onFail:function(e){throw d(e),function(e,t){var r=e.content,n=e.status,i=r;try{i=JSON.parse(r).message}catch(e){}return function(e,t,r){return{name:"ApiError",message:e,status:t,transporterStackTrace:r}}(i,n,t)}(e,w(s))}};return e.requester.send(m).then((function(e){return function(e,t){return function(e){var t=e.status;return e.isTimedOut||function(e){var t=e.isTimedOut,r=e.status;return!t&&0==~~r}(e)||2!=~~(t/100)&&4!=~~(t/100)}(e)?t.onRetry(e):2==~~(e.status/100)?t.onSuccess(e):t.onFail(e)}(e,p)}))};return j(e.hostsCache,t).then((function(e){return m(a(e.statelessHosts).reverse(),e.getTimeout)}))}function E(e){var t={value:"Algolia for JavaScript (".concat(e,")"),add:function(e){var r="; ".concat(e.segment).concat(void 0!==e.version?" (".concat(e.version,")"):"");return-1===t.value.indexOf(r)&&(t.value="".concat(t.value).concat(r)),t}};return t}function x(e,t,r){var n=O(r),i="".concat(e.protocol,"://").concat(e.url,"/").concat("/"===t.charAt(0)?t.substr(1):t);return n.length&&(i+="?".concat(n)),i}function O(e){return Object.keys(e).map((function(t){return h("%s=%s",t,(r=e[t],"[object Object]"===Object.prototype.toString.call(r)||"[object Array]"===Object.prototype.toString.call(r)?JSON.stringify(e[t]):e[t]));var r})).join("&")}function w(e){return e.map((function(e){return _(e)}))}function _(e){var t=e.request.headers["x-algolia-api-key"]?{"x-algolia-api-key":"*****"}:{};return r(r({},e),{},{request:r(r({},e.request),{},{headers:r(r({},e.request.headers),t)})})}var N=function(e){var t=e.appId,n=function(e,t,r){var n={"x-algolia-api-key":r,"x-algolia-application-id":t};return{headers:function(){return e===l.WithinHeaders?n:{}},queryParameters:function(){return e===l.WithinQueryParameters?n:{}}}}(void 0!==e.authMode?e.authMode:l.WithinHeaders,t,e.apiKey),a=function(e){var t=e.hostsCache,r=e.logger,n=e.requester,a=e.requestsCache,s=e.responsesCache,c=e.timeouts,o=e.userAgent,u=e.hosts,f=e.queryParameters,h={hostsCache:t,logger:r,requester:n,requestsCache:a,responsesCache:s,timeouts:c,userAgent:o,headers:e.headers,queryParameters:f,hosts:u.map((function(e){return R(e)})),read:function(e,t){var r=m(t,h.timeouts.read),n=function(){return P(h,h.hosts.filter((function(e){return 0!=(e.accept&d.Read)})),e,r)};if(!0!==(void 0!==r.cacheable?r.cacheable:e.cacheable))return n();var a={request:e,mappedRequestOptions:r,transporter:{queryParameters:h.queryParameters,headers:h.headers}};return h.responsesCache.get(a,(function(){return h.requestsCache.get(a,(function(){return h.requestsCache.set(a,n()).then((function(e){return Promise.all([h.requestsCache.delete(a),e])}),(function(e){return Promise.all([h.requestsCache.delete(a),Promise.reject(e)])})).then((function(e){var t=i(e,2);return t[0],t[1]}))}))}),{miss:function(e){return h.responsesCache.set(a,e)}})},write:function(e,t){return P(h,h.hosts.filter((function(e){return 0!=(e.accept&d.Write)})),e,m(t,h.timeouts.write))}};return h}(r(r({hosts:[{url:"".concat(t,"-dsn.algolia.net"),accept:d.Read},{url:"".concat(t,".algolia.net"),accept:d.Write}].concat(u([{url:"".concat(t,"-1.algolianet.com")},{url:"".concat(t,"-2.algolianet.com")},{url:"".concat(t,"-3.algolianet.com")}]))},e),{},{headers:r(r(r({},n.headers()),{"content-type":"application/x-www-form-urlencoded"}),e.headers),queryParameters:r(r({},n.queryParameters()),e.queryParameters)}));return f({transporter:a,appId:t,addAlgoliaAgent:function(e,t){a.userAgent.add({segment:e,version:t})},clearCache:function(){return Promise.all([a.requestsCache.clear(),a.responsesCache.clear()]).then((function(){}))}},e.methods)},A=function(e){return function(t){var r=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{};return f({transporter:e.transporter,appId:e.appId,indexName:t},r.methods)}},S=function(e){return function(t,n){var i=t.map((function(e){return r(r({},e),{},{params:O(e.params||{})})}));return e.transporter.read({method:b,path:"1/indexes/*/queries",data:{requests:i},cacheable:!0},n)}},H=function(e){return function(t,i){return Promise.all(t.map((function(t){var a=t.params,s=a.facetName,c=a.facetQuery,o=n(a,["facetName","facetQuery"]);return A(e)(t.indexName,{methods:{searchForFacetValues:C}}).searchForFacetValues(s,c,r(r({},i),o))})))}},T=function(e){return function(t,r,n){return e.transporter.read({method:b,path:h("1/answers/%s/prediction",e.indexName),data:{query:t,queryLanguages:r},cacheable:!0},n)}},Q=function(e){return function(t,r){return e.transporter.read({method:b,path:h("1/indexes/%s/query",e.indexName),data:{query:t},cacheable:!0},r)}},C=function(e){return function(t,r,n){return e.transporter.read({method:b,path:h("1/indexes/%s/facets/%s/query",e.indexName,t),data:{facetQuery:r},cacheable:!0},n)}},D=1,k=2,L=3;function I(e,t,n){var i,a={appId:e,apiKey:t,timeouts:{connect:1,read:2,write:30},requester:{send:function(e){return new Promise((function(t){var r=new XMLHttpRequest;r.open(e.method,e.url,!0),Object.keys(e.headers).forEach((function(t){return r.setRequestHeader(t,e.headers[t])}));var n,i=function(e,n){return setTimeout((function(){r.abort(),t({status:0,content:n,isTimedOut:!0})}),1e3*e)},a=i(e.connectTimeout,"Connection timeout");r.onreadystatechange=function(){r.readyState>r.OPENED&&void 0===n&&(clearTimeout(a),n=i(e.responseTimeout,"Socket timeout"))},r.onerror=function(){0===r.status&&(clearTimeout(a),clearTimeout(n),t({content:r.responseText||"Network request failed",status:r.status,isTimedOut:!1}))},r.onload=function(){clearTimeout(a),clearTimeout(n),t({content:r.responseText,status:r.status,isTimedOut:!1})},r.send(e.data)}))}},logger:(i=L,{debug:function(e,t){return D>=i&&console.debug(e,t),Promise.resolve()},info:function(e,t){return k>=i&&console.info(e,t),Promise.resolve()},error:function(e,t){return console.error(e,t),Promise.resolve()}}),responsesCache:o(),requestsCache:o({serializable:!1}),hostsCache:c({caches:[s({key:"".concat("4.8.6","-").concat(e)}),o()]}),userAgent:E("4.8.6").add({segment:"Browser",version:"lite"}),authMode:l.WithinQueryParameters};return N(r(r(r({},a),n),{},{methods:{search:S,searchForFacetValues:H,multipleQueries:S,multipleSearchForFacetValues:H,initIndex:function(e){return function(t){return A(e)(t,{methods:{search:Q,searchForFacetValues:C,findAnswers:T}})}}}}))}return I.version="4.8.6",I}()}}]);
\ No newline at end of file
diff --git a/docs/assets/js/63.4e2ee22a.js.LICENSE.txt b/docs/assets/js/63.4e2ee22a.js.LICENSE.txt
new file mode 100644
index 0000000..6ad399e
--- /dev/null
+++ b/docs/assets/js/63.4e2ee22a.js.LICENSE.txt
@@ -0,0 +1 @@
+/*! algoliasearch-lite.umd.js | 4.8.6 | © Algolia, inc. | https://github.com/algolia/algoliasearch-client-javascript */
diff --git a/docs/assets/js/64.d316f18c.js b/docs/assets/js/64.d316f18c.js
new file mode 100644
index 0000000..b48bd37
--- /dev/null
+++ b/docs/assets/js/64.d316f18c.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[64,67],{136:function(e,t,a){"use strict";a.r(t);var n=a(0),r=a.n(n),o=a(140),c=a(16),l=a(28),s=a(152),i=a(3),u=a(143),d=a(148),p=a(144),m=a(178),b=a(179),h=a(177),y=a(150),f=a(142),g=a(180);var v=e=>r.a.createElement("svg",Object(i.a)({width:"20",height:"20",role:"img"},e),r.a.createElement("g",{fill:"#7a7a7a"},r.a.createElement("path",{d:"M9.992 10.023c0 .2-.062.399-.172.547l-4.996 7.492a.982.982 0 01-.828.454H1c-.55 0-1-.453-1-1 0-.2.059-.403.168-.551l4.629-6.942L.168 3.078A.939.939 0 010 2.528c0-.548.45-.997 1-.997h2.996c.352 0 .649.18.828.45L9.82 9.472c.11.148.172.347.172.55zm0 0"}),r.a.createElement("path",{d:"M19.98 10.023c0 .2-.058.399-.168.547l-4.996 7.492a.987.987 0 01-.828.454h-3c-.547 0-.996-.453-.996-1 0-.2.059-.403.168-.551l4.625-6.942-4.625-6.945a.939.939 0 01-.168-.55 1 1 0 01.996-.997h3c.348 0 .649.18.828.45l4.996 7.492c.11.148.168.347.168.55zm0 0"}))),k=a(182),j=a(149),O=a(82),E=a.n(O);const N=(e,t)=>"link"===e.type?Object(d.isSamePath)(e.href,t):"category"===e.type&&e.items.some((e=>N(e,t)));function C({item:e,onItemClick:t,collapsible:a,activePath:o,...c}){const{items:l,label:s}=e,d=N(e,o),p=function(e){const t=Object(n.useRef)(e);return Object(n.useEffect)((()=>{t.current=e}),[e]),t.current}(d),[m,b]=Object(n.useState)((()=>!!a&&(!d&&e.collapsed))),h=Object(n.useRef)(null),[y,f]=Object(n.useState)(void 0),g=(e=!0)=>{var t;f(e?`${null===(t=h.current)||void 0===t?void 0:t.scrollHeight}px`:void 0)};Object(n.useEffect)((()=>{d&&!p&&m&&b(!1)}),[d,p,m]);const v=Object(n.useCallback)((e=>{e.preventDefault(),y||g(),setTimeout((()=>b((e=>!e))),100)}),[y]);return 0===l.length?null:r.a.createElement("li",{className:Object(u.a)("menu__list-item",{"menu__list-item--collapsed":m}),key:s},r.a.createElement("a",Object(i.a)({className:Object(u.a)("menu__link",{"menu__link--sublist":a,"menu__link--active":a&&d,[E.a.menuLinkText]:!a}),onClick:a?v:void 0,href:a?"#!":void 0},c),s),r.a.createElement("ul",{className:"menu__list",ref:h,style:{height:y},onTransitionEnd:()=>{m||g(!1)}},l.map((e=>r.a.createElement(x,{tabIndex:m?"-1":"0",key:e.label,item:e,onItemClick:t,collapsible:a,activePath:o})))))}function T({item:e,onItemClick:t,activePath:a,collapsible:n,...o}){const{href:c,label:l}=e,s=N(e,a);return r.a.createElement("li",{className:"menu__list-item",key:l},r.a.createElement(y.a,Object(i.a)({className:Object(u.a)("menu__link",{"menu__link--active":s,[E.a.menuLinkExternal]:!Object(f.a)(c)}),to:c},Object(f.a)(c)&&{isNavLink:!0,exact:!0,onClick:t},o),l))}function x(e){switch(e.item.type){case"category":return r.a.createElement(C,e);case"link":default:return r.a.createElement(T,e)}}var w=function({path:e,sidebar:t,sidebarCollapsible:a=!0,onCollapse:o,isHidden:c}){const[l,s]=Object(n.useState)(!1),{navbar:{hideOnScroll:i},hideableSidebar:y}=Object(d.useThemeConfig)(),{isAnnouncementBarClosed:f}=Object(p.a)(),{scrollY:O}=Object(h.a)();Object(m.a)(l);const N=Object(b.a)();return Object(n.useEffect)((()=>{N===b.b.desktop&&s(!1)}),[N]),r.a.createElement("div",{className:Object(u.a)(E.a.sidebar,{[E.a.sidebarWithHideableNavbar]:i,[E.a.sidebarHidden]:c})},i&&r.a.createElement(g.a,{tabIndex:-1,className:E.a.sidebarLogo}),r.a.createElement("div",{className:Object(u.a)("menu","menu--responsive","thin-scrollbar",E.a.menu,{"menu--show":l,[E.a.menuWithAnnouncementBar]:!f&&0===O})},r.a.createElement("button",{"aria-label":l?Object(j.b)({id:"theme.docs.sidebar.responsiveCloseButtonLabel",message:"Close menu",description:"The ARIA label for close button of mobile doc sidebar"}):Object(j.b)({id:"theme.docs.sidebar.responsiveOpenButtonLabel",message:"Open menu",description:"The ARIA label for open button of mobile doc sidebar"}),"aria-haspopup":"true",className:"button button--secondary button--sm menu__button",type:"button",onClick:()=>{s(!l)}},l?r.a.createElement("span",{className:Object(u.a)(E.a.sidebarMenuIcon,E.a.sidebarMenuCloseIcon)},"\xd7"):r.a.createElement(k.a,{className:E.a.sidebarMenuIcon,height:24,width:24})),r.a.createElement("ul",{className:"menu__list"},t.map((t=>r.a.createElement(x,{key:t.label,item:t,onItemClick:e=>{e.target.blur(),s(!1)},collapsible:a,activePath:e}))))),y&&r.a.createElement("button",{type:"button",title:Object(j.b)({id:"theme.docs.sidebar.collapseButtonTitle",message:"Collapse sidebar",description:"The title attribute for collapse button of doc sidebar"}),"aria-label":Object(j.b)({id:"theme.docs.sidebar.collapseButtonAriaLabel",message:"Collapse sidebar",description:"The title attribute for collapse button of doc sidebar"}),className:Object(u.a)("button button--secondary button--outline",E.a.collapseSidebarButton),onClick:o},r.a.createElement(v,{className:E.a.collapseSidebarButtonIcon})))},P=a(167),S=a(170),_=a(23),B=a(83),I=a.n(B);function L({currentDocRoute:e,versionMetadata:t,children:a}){var l,i;const{siteConfig:p,isClient:m}=Object(c.default)(),{pluginId:b,permalinkToSidebar:h,docsSidebars:y,version:f}=t,g=h[e.path],k=y[g],[O,E]=Object(n.useState)(!1),[N,C]=Object(n.useState)(!1),T=Object(n.useCallback)((()=>{N&&C(!1),E(!O)}),[N]);return r.a.createElement(s.a,{key:m,wrapperClassName:"main-docs-wrapper",searchMetadatas:{version:f,tag:Object(d.docVersionSearchTag)(b,f)}},r.a.createElement("div",{className:I.a.docPage},k&&r.a.createElement("div",{className:Object(u.a)(I.a.docSidebarContainer,{[I.a.docSidebarContainerHidden]:O}),onTransitionEnd:e=>{e.currentTarget.classList.contains(I.a.docSidebarContainer)&&O&&C(!0)},role:"complementary"},r.a.createElement(w,{key:g,sidebar:k,path:e.path,sidebarCollapsible:null===(l=null===(i=p.themeConfig)||void 0===i?void 0:i.sidebarCollapsible)||void 0===l||l,onCollapse:T,isHidden:N}),N&&r.a.createElement("div",{className:I.a.collapsedDocSidebar,title:Object(j.b)({id:"theme.docs.sidebar.expandButtonTitle",message:"Expand sidebar",description:"The ARIA label and title attribute for expand button of doc sidebar"}),"aria-label":Object(j.b)({id:"theme.docs.sidebar.expandButtonAriaLabel",message:"Expand sidebar",description:"The ARIA label and title attribute for expand button of doc sidebar"}),tabIndex:0,role:"button",onKeyDown:T,onClick:T},r.a.createElement(v,{className:I.a.expandSidebarButtonIcon}))),r.a.createElement("main",{className:Object(u.a)(I.a.docMainContainer,{[I.a.docMainContainerEnhanced]:O})},r.a.createElement("div",{className:Object(u.a)("container padding-vert--lg",I.a.docItemWrapper,{[I.a.docItemWrapperEnhanced]:O})},r.a.createElement(o.a,{components:P.a},a)))))}t.default=function(e){const{route:{routes:t},versionMetadata:a,location:n}=e,o=t.find((e=>Object(_.matchPath)(n.pathname,e)));return o?r.a.createElement(L,{currentDocRoute:o,versionMetadata:a},Object(l.a)(t)):r.a.createElement(S.default,e)}},140:function(e,t,a){"use strict";a.d(t,"a",(function(){return d})),a.d(t,"b",(function(){return b}));var n=a(0),r=a.n(n);function o(e,t,a){return t in e?Object.defineProperty(e,t,{value:a,enumerable:!0,configurable:!0,writable:!0}):e[t]=a,e}function c(e,t){var a=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),a.push.apply(a,n)}return a}function l(e){for(var t=1;t<arguments.length;t++){var a=null!=arguments[t]?arguments[t]:{};t%2?c(Object(a),!0).forEach((function(t){o(e,t,a[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(a)):c(Object(a)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(a,t))}))}return e}function s(e,t){if(null==e)return{};var a,n,r=function(e,t){if(null==e)return{};var a,n,r={},o=Object.keys(e);for(n=0;n<o.length;n++)a=o[n],t.indexOf(a)>=0||(r[a]=e[a]);return r}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)a=o[n],t.indexOf(a)>=0||Object.prototype.propertyIsEnumerable.call(e,a)&&(r[a]=e[a])}return r}var i=r.a.createContext({}),u=function(e){var t=r.a.useContext(i),a=t;return e&&(a="function"==typeof e?e(t):l(l({},t),e)),a},d=function(e){var t=u(e.components);return r.a.createElement(i.Provider,{value:t},e.children)},p={inlineCode:"code",wrapper:function(e){var t=e.children;return r.a.createElement(r.a.Fragment,{},t)}},m=r.a.forwardRef((function(e,t){var a=e.components,n=e.mdxType,o=e.originalType,c=e.parentName,i=s(e,["components","mdxType","originalType","parentName"]),d=u(a),m=n,b=d["".concat(c,".").concat(m)]||d[m]||p[m]||o;return a?r.a.createElement(b,l(l({ref:t},i),{},{components:a})):r.a.createElement(b,l({ref:t},i))}));function b(e,t){var a=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=a.length,c=new Array(o);c[0]=m;var l={};for(var s in t)hasOwnProperty.call(t,s)&&(l[s]=t[s]);l.originalType=e,l.mdxType="string"==typeof e?e:n,c[1]=l;for(var i=2;i<o;i++)c[i]=a[i];return r.a.createElement.apply(null,c)}return r.a.createElement.apply(null,a)}m.displayName="MDXCreateElement"},162:function(e,t){function a(e){let t,a=[];for(let n of e.split(",").map((e=>e.trim())))if(/^-?\d+$/.test(n))a.push(parseInt(n,10));else if(t=n.match(/^(-?\d+)(-|\.\.\.?|\u2025|\u2026|\u22EF)(-?\d+)$/)){let[e,n,r,o]=t;if(n&&o){n=parseInt(n),o=parseInt(o);const e=n<o?1:-1;"-"!==r&&".."!==r&&"\u2025"!==r||(o+=e);for(let t=n;t!==o;t+=e)a.push(t)}}return a}t.default=a,e.exports=a},167:function(e,t,a){"use strict";var n=a(0),r=a.n(n),o=a(150),c=a(3),l=a(143),s={plain:{backgroundColor:"#2a2734",color:"#9a86fd"},styles:[{types:["comment","prolog","doctype","cdata","punctuation"],style:{color:"#6c6783"}},{types:["namespace"],style:{opacity:.7}},{types:["tag","operator","number"],style:{color:"#e09142"}},{types:["property","function"],style:{color:"#9a86fd"}},{types:["tag-id","selector","atrule-id"],style:{color:"#eeebff"}},{types:["attr-name"],style:{color:"#c4b9fe"}},{types:["boolean","string","entity","url","attr-value","keyword","control","directive","unit","statement","regex","at-rule","placeholder","variable"],style:{color:"#ffcc99"}},{types:["deleted"],style:{textDecorationLine:"line-through"}},{types:["inserted"],style:{textDecorationLine:"underline"}},{types:["italic"],style:{fontStyle:"italic"}},{types:["important","bold"],style:{fontWeight:"bold"}},{types:["important"],style:{color:"#c4b9fe"}}]},i={Prism:a(24).a,theme:s};function u(e,t,a){return t in e?Object.defineProperty(e,t,{value:a,enumerable:!0,configurable:!0,writable:!0}):e[t]=a,e}function d(){return(d=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var a=arguments[t];for(var n in a)Object.prototype.hasOwnProperty.call(a,n)&&(e[n]=a[n])}return e}).apply(this,arguments)}var p=/\r\n|\r|\n/,m=function(e){0===e.length?e.push({types:["plain"],content:"\n",empty:!0}):1===e.length&&""===e[0].content&&(e[0].content="\n",e[0].empty=!0)},b=function(e,t){var a=e.length;return a>0&&e[a-1]===t?e:e.concat(t)},h=function(e,t){var a=e.plain,n=Object.create(null),r=e.styles.reduce((function(e,a){var n=a.languages,r=a.style;return n&&!n.includes(t)||a.types.forEach((function(t){var a=d({},e[t],r);e[t]=a})),e}),n);return r.root=a,r.plain=d({},a,{backgroundColor:null}),r};function y(e,t){var a={};for(var n in e)Object.prototype.hasOwnProperty.call(e,n)&&-1===t.indexOf(n)&&(a[n]=e[n]);return a}var f=function(e){function t(){for(var t=this,a=[],n=arguments.length;n--;)a[n]=arguments[n];e.apply(this,a),u(this,"getThemeDict",(function(e){if(void 0!==t.themeDict&&e.theme===t.prevTheme&&e.language===t.prevLanguage)return t.themeDict;t.prevTheme=e.theme,t.prevLanguage=e.language;var a=e.theme?h(e.theme,e.language):void 0;return t.themeDict=a})),u(this,"getLineProps",(function(e){var a=e.key,n=e.className,r=e.style,o=d({},y(e,["key","className","style","line"]),{className:"token-line",style:void 0,key:void 0}),c=t.getThemeDict(t.props);return void 0!==c&&(o.style=c.plain),void 0!==r&&(o.style=void 0!==o.style?d({},o.style,r):r),void 0!==a&&(o.key=a),n&&(o.className+=" "+n),o})),u(this,"getStyleForToken",(function(e){var a=e.types,n=e.empty,r=a.length,o=t.getThemeDict(t.props);if(void 0!==o){if(1===r&&"plain"===a[0])return n?{display:"inline-block"}:void 0;if(1===r&&!n)return o[a[0]];var c=n?{display:"inline-block"}:{},l=a.map((function(e){return o[e]}));return Object.assign.apply(Object,[c].concat(l))}})),u(this,"getTokenProps",(function(e){var a=e.key,n=e.className,r=e.style,o=e.token,c=d({},y(e,["key","className","style","token"]),{className:"token "+o.types.join(" "),children:o.content,style:t.getStyleForToken(o),key:void 0});return void 0!==r&&(c.style=void 0!==c.style?d({},c.style,r):r),void 0!==a&&(c.key=a),n&&(c.className+=" "+n),c})),u(this,"tokenize",(function(e,t,a,n){var r={code:t,grammar:a,language:n,tokens:[]};e.hooks.run("before-tokenize",r);var o=r.tokens=e.tokenize(r.code,r.grammar,r.language);return e.hooks.run("after-tokenize",r),o}))}return e&&(t.__proto__=e),t.prototype=Object.create(e&&e.prototype),t.prototype.constructor=t,t.prototype.render=function(){var e=this.props,t=e.Prism,a=e.language,n=e.code,r=e.children,o=this.getThemeDict(this.props),c=t.languages[a];return r({tokens:function(e){for(var t=[[]],a=[e],n=[0],r=[e.length],o=0,c=0,l=[],s=[l];c>-1;){for(;(o=n[c]++)<r[c];){var i=void 0,u=t[c],d=a[c][o];if("string"==typeof d?(u=c>0?u:["plain"],i=d):(u=b(u,d.type),d.alias&&(u=b(u,d.alias)),i=d.content),"string"==typeof i){var h=i.split(p),y=h.length;l.push({types:u,content:h[0]});for(var f=1;f<y;f++)m(l),s.push(l=[]),l.push({types:u,content:h[f]})}else c++,t.push(u),a.push(i),n.push(0),r.push(i.length)}c--,t.pop(),a.pop(),n.pop(),r.pop()}return m(l),s}(void 0!==c?this.tokenize(t,n,c,a):[n]),className:"prism-code language-"+a,style:void 0!==o?o.root:{},getLineProps:this.getLineProps,getTokenProps:this.getTokenProps})},t}(n.Component);var g=a(162),v=a.n(g),k={plain:{color:"#bfc7d5",backgroundColor:"#292d3e"},styles:[{types:["comment"],style:{color:"rgb(105, 112, 152)",fontStyle:"italic"}},{types:["string","inserted"],style:{color:"rgb(195, 232, 141)"}},{types:["number"],style:{color:"rgb(247, 140, 108)"}},{types:["builtin","char","constant","function"],style:{color:"rgb(130, 170, 255)"}},{types:["punctuation","selector"],style:{color:"rgb(199, 146, 234)"}},{types:["variable"],style:{color:"rgb(191, 199, 213)"}},{types:["class-name","attr-name"],style:{color:"rgb(255, 203, 107)"}},{types:["tag","deleted"],style:{color:"rgb(255, 85, 114)"}},{types:["operator"],style:{color:"rgb(137, 221, 255)"}},{types:["boolean"],style:{color:"rgb(255, 88, 116)"}},{types:["keyword"],style:{fontStyle:"italic"}},{types:["doctype"],style:{color:"rgb(199, 146, 234)",fontStyle:"italic"}},{types:["namespace"],style:{color:"rgb(178, 204, 214)"}},{types:["url"],style:{color:"rgb(221, 221, 221)"}}]},j=a(157),O=a(148);var E=()=>{const{prism:e}=Object(O.useThemeConfig)(),{isDarkTheme:t}=Object(j.a)(),a=e.theme||k,n=e.darkTheme||a;return t?n:a},N=a(149),C=a(60),T=a.n(C);const x=/{([\d,-]+)}/,w=(e=["js","jsBlock","jsx","python","html"])=>{const t={js:{start:"\\/\\/",end:""},jsBlock:{start:"\\/\\*",end:"\\*\\/"},jsx:{start:"\\{\\s*\\/\\*",end:"\\*\\/\\s*\\}"},python:{start:"#",end:""},html:{start:"\x3c!--",end:"--\x3e"}},a=["highlight-next-line","highlight-start","highlight-end"].join("|"),n=e.map((e=>`(?:${t[e].start}\\s*(${a})\\s*${t[e].end})`)).join("|");return new RegExp(`^\\s*(?:${n})\\s*$`)},P=/(?:title=")(.*)(?:")/;function S({children:e,className:t,metastring:a}){const{prism:o}=Object(O.useThemeConfig)(),[s,u]=Object(n.useState)(!1),[d,p]=Object(n.useState)(!1);Object(n.useEffect)((()=>{p(!0)}),[]);const m=Object(n.useRef)(null);let b=[],h="";const y=E(),g=Array.isArray(e)?e.join(""):e;if(a&&x.test(a)){const e=a.match(x)[1];b=v()(e).filter((e=>e>0))}a&&P.test(a)&&(h=a.match(P)[1]);let k=t&&t.replace(/language-/,"");!k&&o.defaultLanguage&&(k=o.defaultLanguage);let j=g.replace(/\n$/,"");if(0===b.length&&void 0!==k){let e="";const t=(e=>{switch(e){case"js":case"javascript":case"ts":case"typescript":return w(["js","jsBlock"]);case"jsx":case"tsx":return w(["js","jsBlock","jsx"]);case"html":return w(["js","jsBlock","html"]);case"python":case"py":return w(["python"]);default:return w()}})(k),a=g.replace(/\n$/,"").split("\n");let n;for(let r=0;r<a.length;){const o=r+1,c=a[r].match(t);if(null!==c){switch(c.slice(1).reduce(((e,t)=>e||t),void 0)){case"highlight-next-line":e+=`${o},`;break;case"highlight-start":n=o;break;case"highlight-end":e+=`${n}-${o-1},`}a.splice(r,1)}else r+=1}b=v()(e),j=a.join("\n")}const C=()=>{!function(e,{target:t=document.body}={}){const a=document.createElement("textarea"),n=document.activeElement;a.value=e,a.setAttribute("readonly",""),a.style.contain="strict",a.style.position="absolute",a.style.left="-9999px",a.style.fontSize="12pt";const r=document.getSelection();let o=!1;r.rangeCount>0&&(o=r.getRangeAt(0)),t.append(a),a.select(),a.selectionStart=0,a.selectionEnd=e.length;let c=!1;try{c=document.execCommand("copy")}catch{}a.remove(),o&&(r.removeAllRanges(),r.addRange(o)),n&&n.focus()}(j),u(!0),setTimeout((()=>u(!1)),2e3)};return r.a.createElement(f,Object(c.a)({},i,{key:String(d),theme:y,code:j,language:k}),(({className:e,style:t,tokens:a,getLineProps:n,getTokenProps:o})=>r.a.createElement("div",{className:T.a.codeBlockContainer},h&&r.a.createElement("div",{style:t,className:T.a.codeBlockTitle},h),r.a.createElement("div",{className:Object(l.a)(T.a.codeBlockContent,k)},r.a.createElement("div",{tabIndex:0,className:Object(l.a)(e,T.a.codeBlock,"thin-scrollbar",{[T.a.codeBlockWithTitle]:h})},r.a.createElement("div",{className:T.a.codeBlockLines,style:t},a.map(((e,t)=>{1===e.length&&""===e[0].content&&(e[0].content="\n");const a=n({line:e,key:t});return b.includes(t+1)&&(a.className=`${a.className} docusaurus-highlight-code-line`),r.a.createElement("div",Object(c.a)({key:t},a),e.map(((e,t)=>r.a.createElement("span",Object(c.a)({key:t},o({token:e,key:t}))))))})))),r.a.createElement("button",{ref:m,type:"button","aria-label":Object(N.b)({id:"theme.CodeBlock.copyButtonAriaLabel",message:"Copy code to clipboard",description:"The ARIA label for copy code blocks button"}),className:Object(l.a)(T.a.copyButton),onClick:C},s?r.a.createElement(N.a,{id:"theme.CodeBlock.copied",description:"The copied button label on code blocks"},"Copied"):r.a.createElement(N.a,{id:"theme.CodeBlock.copy",description:"The copy button label on code blocks"},"Copy"))))))}a(61);var _=a(62),B=a.n(_);var I=e=>function({id:t,...a}){const{navbar:{hideOnScroll:n}}=Object(O.useThemeConfig)();return t?r.a.createElement(e,a,r.a.createElement("a",{"aria-hidden":"true",tabIndex:-1,className:Object(l.a)("anchor",{[B.a.enhancedAnchor]:!n}),id:t}),a.children,r.a.createElement("a",{className:"hash-link",href:`#${t}`,title:Object(N.b)({id:"theme.common.headingLinkTitle",message:"Direct link to heading",description:"Title for link to heading"})},"#")):r.a.createElement(e,a)};const L={code:e=>{const{children:t}=e;return"string"==typeof t?t.includes("\n")?r.a.createElement(S,e):r.a.createElement("code",e):t},a:e=>r.a.createElement(o.a,e),pre:e=>{const{children:t}=e;return r.a.createElement(S,null==t?void 0:t.props)},h1:I("h1"),h2:I("h2"),h3:I("h3"),h4:I("h4"),h5:I("h5"),h6:I("h6")};t.a=L},170:function(e,t,a){"use strict";a.r(t);var n=a(0),r=a.n(n),o=a(152),c=a(149);t.default=function(){return r.a.createElement(o.a,{title:"Page Not Found"},r.a.createElement("main",{className:"container margin-vert--xl"},r.a.createElement("div",{className:"row"},r.a.createElement("div",{className:"col col--6 col--offset-3"},r.a.createElement("h1",{className:"hero__title"},r.a.createElement(c.a,{id:"theme.NotFound.title",description:"The title of the 404 page"},"Page Not Found")),r.a.createElement("p",null,r.a.createElement(c.a,{id:"theme.NotFound.p1",description:"The first paragraph of the 404 page"},"We could not find what you were looking for.")),r.a.createElement("p",null,r.a.createElement(c.a,{id:"theme.NotFound.p2",description:"The 2nd paragraph of the 404 page"},"Please contact the owner of the site that linked you to the original URL and let them know their link is broken."))))))}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/65.4c70e92e.js b/docs/assets/js/65.4c70e92e.js
new file mode 100644
index 0000000..ac280ea
--- /dev/null
+++ b/docs/assets/js/65.4c70e92e.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[65],{226:function(e,t,r){"use strict";function n(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function a(e,t,r){var a=t.initialState;return{getState:function(){return a},dispatch:function(c,i){var l=function(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?n(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):n(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}({},a);a=e(a,{type:c,props:t,payload:i}),r({state:a,prevState:l})}}}function c(e){return e.reduce((function(e,t){return e.concat(t)}),[])}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function l(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?i(Object(r),!0).forEach((function(t){s(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):i(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function s(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function u(e){return 0===e.collections.length?0:e.collections.reduce((function(e,t){return e+t.items.length}),0)}r.r(t),r.d(t,"DocSearchModal",(function(){return Ft}));var f=0;var m=function(){};function p(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function h(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function d(e){return(d="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}function v(e,t){return Promise.resolve(e(t)).then((function(e){return Array.isArray(e),"The `getSources` function must return an array of sources but returned type ".concat(JSON.stringify(d(e)),":\n\n").concat(JSON.stringify(e,null,2)),Promise.all(e.filter((function(e){return Boolean(e)})).map((function(e){e.sourceId;var t=function(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?p(Object(r),!0).forEach((function(t){h(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):p(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}({getItemInputValue:function(e){return e.state.query},getItemUrl:function(){},onSelect:function(e){(0,e.setIsOpen)(!1)},onActive:m},e);return Promise.resolve(t)})))}))}function y(e){return function(e){if(Array.isArray(e))return g(e)}(e)||function(e){if("undefined"!=typeof Symbol&&Symbol.iterator in Object(e))return Array.from(e)}(e)||function(e,t){if(!e)return;if("string"==typeof e)return g(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return g(e,t)}(e)||function(){throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}()}function g(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}function b(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function O(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?b(Object(r),!0).forEach((function(t){S(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):b(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function S(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function E(e){var t=function(e){var t=e.collections.map((function(e){return e.items.length})).reduce((function(e,t,r){var n=(e[r-1]||0)+t;return e.push(n),e}),[]).reduce((function(t,r){return r<=e.activeItemId?t+1:t}),0);return e.collections[t]}(e);if(!t)return null;var r=t.items[function(e){for(var t=e.state,r=e.collection,n=!1,o=0,a=0;!1===n;){var c=t.collections[o];if(c===r){n=!0;break}a+=c.items.length,o++}return t.activeItemId-a}({state:e,collection:t})],n=t.source;return{item:r,itemInputValue:n.getItemInputValue({item:r,state:e}),itemUrl:n.getItemUrl({item:r,state:e}),source:n}}function w(e){return(w="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}function j(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function P(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?j(Object(r),!0).forEach((function(t){I(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):j(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function I(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function D(e,t){if(null==e)return{};var r,n,o=function(e,t){if(null==e)return{};var r,n,o={},a=Object.keys(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}var C=null;function A(e){var t=e.event,r=e.nextState,n=void 0===r?{}:r,o=e.props,a=e.query,c=e.refresh,i=e.store,l=D(e,["event","nextState","props","query","refresh","store"]);C&&o.environment.clearTimeout(C);var s,u=l.setCollections,f=l.setIsOpen,m=l.setQuery,p=l.setActiveItemId,h=l.setStatus;return m(a),p(o.defaultActiveItemId),a||!1!==o.openOnFocus?(h("loading"),C=o.environment.setTimeout((function(){h("stalled")}),o.stallThreshold),o.getSources(P({query:a,refresh:c,state:i.getState()},l)).then((function(e){return h("loading"),Promise.all(e.map((function(e){return Promise.resolve(e.getItems(P({query:a,refresh:c,state:i.getState()},l))).then((function(t){return Array.isArray(t),"The `getItems` function must return an array of items but returned type ".concat(JSON.stringify(w(t)),":\n\n").concat(JSON.stringify(t,null,2)),{source:e,items:t}}))}))).then((function(e){var r;h("idle"),u(e);var s=o.shouldPanelOpen({state:i.getState()});f(null!==(r=n.isOpen)&&void 0!==r?r:o.openOnFocus&&!a&&s||s);var m=E(i.getState());if(null!==i.getState().activeItemId&&m){var p=m.item,d=m.itemInputValue,v=m.itemUrl,y=m.source;y.onActive(P({event:t,item:p,itemInputValue:d,itemUrl:v,refresh:c,source:y,state:i.getState()},l))}})).finally((function(){C&&o.environment.clearTimeout(C)}))}))):(h("idle"),u(i.getState().collections.map((function(e){return P(P({},e),{},{items:[]})}))),f(null!==(s=n.isOpen)&&void 0!==s?s:o.shouldPanelOpen({state:i.getState()})),Promise.resolve())}function N(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function k(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?N(Object(r),!0).forEach((function(t){x(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):N(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function x(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function q(e,t){if(null==e)return{};var r,n,o=function(e,t){if(null==e)return{};var r,n,o={},a=Object.keys(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}function R(e,t){return e===t||e.contains(t)}function T(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function _(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?T(Object(r),!0).forEach((function(t){M(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):T(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function M(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function H(e,t){if(null==e)return{};var r,n,o=function(e,t){if(null==e)return{};var r,n,o={},a=Object.keys(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}function L(e){var t=e.props,r=e.refresh,n=e.store,o=H(e,["props","refresh","store"]);return{getEnvironmentProps:function(e){var r=e.inputElement,o=e.formElement,a=e.panelElement;return _({onTouchStart:function(e){!1!==n.getState().isOpen&&e.target!==r&&(!1===[o,a].some((function(r){return R(r,e.target)||R(r,t.environment.document.activeElement)}))&&n.dispatch("blur",null))},onTouchMove:function(e){!1!==n.getState().isOpen&&r===t.environment.document.activeElement&&e.target!==r&&r.blur()}},H(e,["inputElement","formElement","panelElement"]))},getRootProps:function(e){return _({role:"combobox","aria-expanded":n.getState().isOpen,"aria-haspopup":"listbox","aria-owns":n.getState().isOpen?"".concat(t.id,"-list"):void 0,"aria-labelledby":"".concat(t.id,"-label")},e)},getFormProps:function(e){e.inputElement;return _({action:"",noValidate:!0,role:"search",onSubmit:function(a){var c;a.preventDefault(),t.onSubmit(_({event:a,refresh:r,state:n.getState()},o)),n.dispatch("submit",null),null===(c=e.inputElement)||void 0===c||c.blur()},onReset:function(a){var c;a.preventDefault(),t.onReset(_({event:a,refresh:r,state:n.getState()},o)),n.dispatch("reset",null),null===(c=e.inputElement)||void 0===c||c.focus()}},H(e,["inputElement"]))},getLabelProps:function(e){return _({htmlFor:"".concat(t.id,"-input"),id:"".concat(t.id,"-label")},e)},getInputProps:function(e){function a(e){(t.openOnFocus||Boolean(n.getState().query))&&A(_({event:e,props:t,query:n.getState().completion||n.getState().query,refresh:r,store:n},o)),n.dispatch("focus",null)}var c="ontouchstart"in t.environment,i=e||{},l=(i.inputElement,i.maxLength),s=void 0===l?512:l,u=H(i,["inputElement","maxLength"]),f=E(n.getState());return _({"aria-autocomplete":"both","aria-activedescendant":n.getState().isOpen&&null!==n.getState().activeItemId?"".concat(t.id,"-item-").concat(n.getState().activeItemId):void 0,"aria-controls":n.getState().isOpen?"".concat(t.id,"-list"):void 0,"aria-labelledby":"".concat(t.id,"-label"),value:n.getState().completion||n.getState().query,id:"".concat(t.id,"-input"),autoComplete:"off",autoCorrect:"off",autoCapitalize:"off",enterKeyHint:null!=f&&f.itemUrl?"go":"search",spellCheck:"false",autoFocus:t.autoFocus,placeholder:t.placeholder,maxLength:s,type:"search",onChange:function(e){A(_({event:e,props:t,query:e.currentTarget.value.slice(0,s),refresh:r,store:n},o))},onKeyDown:function(e){!function(e){var t=e.event,r=e.props,n=e.refresh,o=e.store,a=q(e,["event","props","refresh","store"]);if("ArrowUp"===t.key||"ArrowDown"===t.key){t.preventDefault(),o.dispatch(t.key,null);var c=r.environment.document.getElementById("".concat(r.id,"-item-").concat(o.getState().activeItemId));c&&(c.scrollIntoViewIfNeeded?c.scrollIntoViewIfNeeded(!1):c.scrollIntoView(!1));var i=E(o.getState());if(null!==o.getState().activeItemId&&i){var l=i.item,s=i.itemInputValue,u=i.itemUrl,f=i.source;f.onActive(k({event:t,item:l,itemInputValue:s,itemUrl:u,refresh:n,source:f,state:o.getState()},a))}}else if("Escape"===t.key)t.preventDefault(),o.dispatch(t.key,null);else if("Enter"===t.key){if(null===o.getState().activeItemId||o.getState().collections.every((function(e){return 0===e.items.length})))return;t.preventDefault();var m=E(o.getState()),p=m.item,h=m.itemInputValue,d=m.itemUrl,v=m.source;if(t.metaKey||t.ctrlKey)void 0!==d&&(v.onSelect(k({event:t,item:p,itemInputValue:h,itemUrl:d,refresh:n,source:v,state:o.getState()},a)),r.navigator.navigateNewTab({itemUrl:d,item:p,state:o.getState()}));else if(t.shiftKey)void 0!==d&&(v.onSelect(k({event:t,item:p,itemInputValue:h,itemUrl:d,refresh:n,source:v,state:o.getState()},a)),r.navigator.navigateNewWindow({itemUrl:d,item:p,state:o.getState()}));else if(t.altKey);else{if(void 0!==d)return v.onSelect(k({event:t,item:p,itemInputValue:h,itemUrl:d,refresh:n,source:v,state:o.getState()},a)),void r.navigator.navigate({itemUrl:d,item:p,state:o.getState()});A(k({event:t,nextState:{isOpen:!1},props:r,query:h,refresh:n,store:o},a)).then((function(){v.onSelect(k({event:t,item:p,itemInputValue:h,itemUrl:d,refresh:n,source:v,state:o.getState()},a))}))}}}(_({event:e,props:t,refresh:r,store:n},o))},onFocus:a,onBlur:function(){c||n.dispatch("blur",null)},onClick:function(r){e.inputElement!==t.environment.document.activeElement||n.getState().isOpen||a(r)}},u)},getPanelProps:function(e){return _({onMouseDown:function(e){e.preventDefault()},onMouseLeave:function(){n.dispatch("mouseleave",null)}},e)},getListProps:function(e){return _({role:"listbox","aria-labelledby":"".concat(t.id,"-label"),id:"".concat(t.id,"-list")},e)},getItemProps:function(e){var a=e.item,c=e.source,i=H(e,["item","source"]);return _({id:"".concat(t.id,"-item-").concat(a.__autocomplete_id),role:"option","aria-selected":n.getState().activeItemId===a.__autocomplete_id,onMouseMove:function(e){if(a.__autocomplete_id!==n.getState().activeItemId){n.dispatch("mousemove",a.__autocomplete_id);var t=E(n.getState());if(null!==n.getState().activeItemId&&t){var c=t.item,i=t.itemInputValue,l=t.itemUrl,s=t.source;s.onActive(_({event:e,item:c,itemInputValue:i,itemUrl:l,refresh:r,source:s,state:n.getState()},o))}}},onMouseDown:function(e){e.preventDefault()},onClick:function(e){var i=c.getItemInputValue({item:a,state:n.getState()}),l=c.getItemUrl({item:a,state:n.getState()});(l?Promise.resolve():A(_({event:e,nextState:{isOpen:!1},props:t,query:i,refresh:r,store:n},o))).then((function(){c.onSelect(_({event:e,item:a,itemInputValue:i,itemUrl:l,refresh:r,source:c,state:n.getState()},o))}))}},i)}}}function F(e){var t=e.state;return!1===t.isOpen||null===t.activeItemId?null:E(t).itemInputValue||null}function U(e,t,r,n){if(e<0&&(null===t||null!==n&&0===t))return r+e;var o=(null===t?-1:t)+e;return o<=-1||o>=r?null===n?null:0:o}function V(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function z(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?V(Object(r),!0).forEach((function(t){J(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):V(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function J(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}var B=function(e,t){switch(t.type){case"setActiveItemId":return z(z({},e),{},{activeItemId:t.payload});case"setQuery":return z(z({},e),{},{query:t.payload,completion:null});case"setCollections":return z(z({},e),{},{collections:t.payload});case"setIsOpen":return z(z({},e),{},{isOpen:t.payload});case"setStatus":return z(z({},e),{},{status:t.payload});case"setContext":return z(z({},e),{},{context:z(z({},e.context),t.payload)});case"ArrowDown":var r=z(z({},e),{},{activeItemId:U(1,e.activeItemId,u(e),t.props.defaultActiveItemId)});return z(z({},r),{},{completion:F({state:r})});case"ArrowUp":var n=z(z({},e),{},{activeItemId:U(-1,e.activeItemId,u(e),t.props.defaultActiveItemId)});return z(z({},n),{},{completion:F({state:n})});case"Escape":return e.isOpen?z(z({},e),{},{isOpen:!1,completion:null}):z(z({},e),{},{query:"",status:"idle",collections:[]});case"submit":return z(z({},e),{},{activeItemId:null,isOpen:!1,status:"idle"});case"reset":return z(z({},e),{},{activeItemId:!0===t.props.openOnFocus?t.props.defaultActiveItemId:null,status:"idle",query:""});case"focus":return z(z({},e),{},{activeItemId:t.props.defaultActiveItemId,isOpen:(t.props.openOnFocus||Boolean(e.query))&&t.props.shouldPanelOpen({state:e})});case"blur":return t.props.debug?e:z(z({},e),{},{isOpen:!1,activeItemId:null});case"mousemove":return z(z({},e),{},{activeItemId:t.payload});case"mouseleave":return z(z({},e),{},{activeItemId:t.props.defaultActiveItemId});default:return"The reducer action ".concat(JSON.stringify(t.type)," is not supported."),e}};function K(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function $(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?K(Object(r),!0).forEach((function(t){W(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):K(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function W(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function Q(e){var t=[],r=function(e,t){var r,n="undefined"!=typeof window?window:{},o=e.plugins||[];return O(O({debug:!1,openOnFocus:!1,placeholder:"",autoFocus:!1,defaultActiveItemId:null,stallThreshold:300,environment:n,shouldPanelOpen:function(e){return u(e.state)>0}},e),{},{id:null!==(r=e.id)&&void 0!==r?r:"autocomplete-".concat(f++),plugins:o,initialState:O({activeItemId:null,query:"",completion:null,collections:[],isOpen:!1,status:"idle",context:{}},e.initialState),onStateChange:function(t){var r;null===(r=e.onStateChange)||void 0===r||r.call(e,t),o.forEach((function(e){var r;return null===(r=e.onStateChange)||void 0===r?void 0:r.call(e,t)}))},onSubmit:function(t){var r;null===(r=e.onSubmit)||void 0===r||r.call(e,t),o.forEach((function(e){var r;return null===(r=e.onSubmit)||void 0===r?void 0:r.call(e,t)}))},onReset:function(t){var r;null===(r=e.onReset)||void 0===r||r.call(e,t),o.forEach((function(e){var r;return null===(r=e.onReset)||void 0===r?void 0:r.call(e,t)}))},getSources:function(r){return Promise.all([].concat(y(o.map((function(e){return e.getSources}))),[e.getSources]).filter(Boolean).map((function(e){return v(e,r)}))).then((function(e){return c(e)})).then((function(e){return e.map((function(e){return O(O({},e),{},{onSelect:function(r){e.onSelect(r),t.forEach((function(e){var t;return null===(t=e.onSelect)||void 0===t?void 0:t.call(e,r)}))},onActive:function(r){e.onActive(r),t.forEach((function(e){var t;return null===(t=e.onActive)||void 0===t?void 0:t.call(e,r)}))}})}))}))},navigator:O({navigate:function(e){var t=e.itemUrl;n.location.assign(t)},navigateNewTab:function(e){var t=e.itemUrl,r=n.open(t,"_blank","noopener");null==r||r.focus()},navigateNewWindow:function(e){var t=e.itemUrl;n.open(t,"_blank","noopener")}},e.navigator)})}(e,t),n=a(B,r,(function(e){var t=e.prevState,n=e.state;r.onStateChange($({prevState:t,state:n,refresh:s},o))})),o=function(e){var t=e.store;return{setActiveItemId:function(e){t.dispatch("setActiveItemId",e)},setQuery:function(e){t.dispatch("setQuery",e)},setCollections:function(e){var r=0,n=e.map((function(e){return l(l({},e),{},{items:c(e.items).map((function(e){return l(l({},e),{},{__autocomplete_id:r++})}))})}));t.dispatch("setCollections",n)},setIsOpen:function(e){t.dispatch("setIsOpen",e)},setStatus:function(e){t.dispatch("setStatus",e)},setContext:function(e){t.dispatch("setContext",e)}}}({store:n}),i=L($({props:r,refresh:s,store:n},o));function s(){return A($({event:new Event("input"),nextState:{isOpen:n.getState().isOpen},props:r,query:n.getState().query,refresh:s,store:n},o))}return r.plugins.forEach((function(e){var r;return null===(r=e.subscribe)||void 0===r?void 0:r.call(e,$($({},o),{},{refresh:s,onSelect:function(e){t.push({onSelect:e})},onActive:function(e){t.push({onActive:e})}}))})),$($({refresh:s},i),o)}var Y="1.0.0-alpha.44";function G(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function X(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?G(Object(r),!0).forEach((function(t){Z(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):G(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function Z(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function ee(e){return function(e){if(Array.isArray(e))return te(e)}(e)||function(e){if("undefined"!=typeof Symbol&&Symbol.iterator in Object(e))return Array.from(e)}(e)||function(e,t){if(!e)return;if("string"==typeof e)return te(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return te(e,t)}(e)||function(){throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}()}function te(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}function re(e){return function(e){var t=e.searchClient,r=e.queries,n=e.userAgents,o=void 0===n?[]:n;return"function"==typeof t.addAlgoliaAgent&&[{segment:"autocomplete-core",version:Y}].concat(ee(o)).forEach((function(e){var r=e.segment,n=e.version;t.addAlgoliaAgent(r,n)})),t.search(r.map((function(e){return{indexName:e.indexName,query:e.query,params:X({hitsPerPage:5,highlightPreTag:"__aa-highlight__",highlightPostTag:"__/aa-highlight__"},e.params)}})))}({searchClient:e.searchClient,queries:e.queries,userAgents:e.userAgents}).then((function(e){return e.results}))}var ne=r(0),oe=r.n(ne);function ae(){return oe.a.createElement("a",{href:"https://www.algolia.com/docsearch",target:"_blank",rel:"noopener noreferrer"},oe.a.createElement("span",{className:"DocSearch-Label"},"Search by"),oe.a.createElement("svg",{width:"77",height:"19"},oe.a.createElement("path",{d:"M2.5067 0h14.0245c1.384.001 2.5058 1.1205 2.5068 2.5017V16.5c-.0014 1.3808-1.1232 2.4995-2.5068 2.5H2.5067C1.1232 18.9995.0014 17.8808 0 16.5V2.4958A2.495 2.495 0 01.735.7294 2.505 2.505 0 012.5068 0zM37.95 15.0695c-3.7068.0168-3.7068-2.986-3.7068-3.4634L34.2372.3576 36.498 0v11.1794c0 .2715 0 1.9889 1.452 1.994v1.8961zm-9.1666-1.8388c.694 0 1.2086-.0397 1.5678-.1088v-2.2934a5.3639 5.3639 0 00-1.3303-.1679 4.8283 4.8283 0 00-.758.0582 2.2845 2.2845 0 00-.688.2024c-.2029.0979-.371.2362-.4919.4142-.1268.1788-.185.2826-.185.5533 0 .5297.185.8359.5205 1.0375.3355.2016.7928.3053 1.365.3053v-.0008zm-.1969-8.1817c.7463 0 1.3768.092 1.8856.2767.5088.1838.9195.4428 1.2204.7717.3068.334.5147.7777.6423 1.251.1327.4723.196.991.196 1.5603v5.798c-.5235.1036-1.05.192-1.5787.2649-.7048.1037-1.4976.156-2.3774.156-.5832 0-1.1215-.0582-1.6016-.167a3.385 3.385 0 01-1.2432-.5364 2.6034 2.6034 0 01-.8037-.9565c-.191-.3922-.29-.9447-.29-1.5208 0-.5533.11-.905.3246-1.2863a2.7351 2.7351 0 01.8849-.9329c.376-.242.8029-.415 1.2948-.5187a7.4517 7.4517 0 011.5381-.156 7.1162 7.1162 0 011.6667.2024V8.886c0-.259-.0296-.5061-.093-.7372a1.5847 1.5847 0 00-.3245-.6158 1.5079 1.5079 0 00-.6119-.4158 2.6788 2.6788 0 00-.966-.173c-.5206 0-.9948.0634-1.4283.1384a6.5481 6.5481 0 00-1.065.259l-.2712-1.849c.2831-.0986.7048-.1964 1.2491-.2943a9.2979 9.2979 0 011.752-.1501v.0008zm44.6597 8.1193c.6947 0 1.2086-.0405 1.567-.1097v-2.2942a5.3743 5.3743 0 00-1.3303-.1679c-.2485 0-.503.0177-.7573.0582a2.2853 2.2853 0 00-.688.2024 1.2333 1.2333 0 00-.4918.4142c-.1268.1788-.1843.2826-.1843.5533 0 .5297.1843.8359.5198 1.0375.3414.2066.7927.3053 1.365.3053v.0009zm-.191-8.1767c.7463 0 1.3768.0912 1.8856.2759.5087.1847.9195.4436 1.2204.7717.3.329.5147.7786.6414 1.251a5.7248 5.7248 0 01.197 1.562v5.7972c-.3466.0742-.874.1602-1.5788.2648-.7049.1038-1.4976.1552-2.3774.1552-.5832 0-1.1215-.0573-1.6016-.167a3.385 3.385 0 01-1.2432-.5356 2.6034 2.6034 0 01-.8038-.9565c-.191-.3922-.2898-.9447-.2898-1.5216 0-.5533.1098-.905.3245-1.2854a2.7373 2.7373 0 01.8849-.9338c.376-.2412.8029-.4141 1.2947-.5178a7.4545 7.4545 0 012.325-.1097c.2781.0287.5672.081.879.156v-.3686a2.7781 2.7781 0 00-.092-.738 1.5788 1.5788 0 00-.3246-.6166 1.5079 1.5079 0 00-.612-.415 2.6797 2.6797 0 00-.966-.1729c-.5205 0-.9947.0633-1.4282.1384a6.5608 6.5608 0 00-1.065.259l-.2712-1.8498c.283-.0979.7048-.1957 1.2491-.2935a9.8597 9.8597 0 011.752-.1494zm-6.79-1.072c-.7576.001-1.373-.6103-1.3759-1.3664 0-.755.6128-1.3664 1.376-1.3664.764 0 1.3775.6115 1.3775 1.3664s-.6195 1.3664-1.3776 1.3664zm1.1393 11.1507h-2.2726V5.3409l2.2734-.3568v10.0845l-.0008.0017zm-3.984 0c-3.707.0168-3.707-2.986-3.707-3.4642L59.7069.3576 61.9685 0v11.1794c0 .2715 0 1.9889 1.452 1.994V15.0703zm-7.3512-4.979c0-.975-.2138-1.7873-.6305-2.3516-.4167-.571-.9998-.852-1.747-.852-.7454 0-1.3302.281-1.7452.852-.4166.5702-.6195 1.3765-.6195 2.3516 0 .9851.208 1.6473.6254 2.2183.4158.576.9998.8587 1.7461.8587.7454 0 1.3303-.2885 1.747-.8595.4158-.5761.6237-1.2315.6237-2.2184v.0009zm2.3132-.006c0 .7609-.1099 1.3361-.3356 1.9654a4.654 4.654 0 01-.9533 1.6076A4.214 4.214 0 0155.613 14.69c-.579.2412-1.4697.3795-1.9143.3795-.4462-.005-1.3303-.1324-1.9033-.3795a4.307 4.307 0 01-1.474-1.0316c-.4115-.4445-.7293-.9801-.9609-1.6076a5.3423 5.3423 0 01-.3465-1.9653c0-.7608.104-1.493.3356-2.1155a4.683 4.683 0 01.9719-1.5958 4.3383 4.3383 0 011.479-1.0257c.5739-.242 1.2043-.3567 1.8864-.3567.6829 0 1.3125.1197 1.8906.3567a4.1245 4.1245 0 011.4816 1.0257 4.7587 4.7587 0 01.9592 1.5958c.2426.6225.3643 1.3547.3643 2.1155zm-17.0198 0c0 .9448.208 1.9932.6238 2.431.4166.4386.955.6579 1.6142.6579.3584 0 .6998-.0523 1.0176-.1502.3186-.0978.5721-.2134.775-.3517V7.0784a8.8706 8.8706 0 00-1.4926-.1906c-.8206-.0236-1.4452.312-1.8847.8468-.4335.5365-.6533 1.476-.6533 2.3516v-.0008zm6.2863 4.4485c0 1.5385-.3938 2.662-1.1866 3.3773-.791.7136-2.0005 1.0712-3.6308 1.0712-.5958 0-1.834-.1156-2.8228-.334l.3643-1.7865c.8282.173 1.9202.2193 2.4932.2193.9077 0 1.555-.1847 1.943-.5533.388-.3686.578-.916.578-1.643v-.3687a6.8289 6.8289 0 01-.8848.3349c-.3634.1096-.786.167-1.261.167-.6246 0-1.1917-.0979-1.7055-.2944a3.5554 3.5554 0 01-1.3244-.8645c-.3642-.3796-.6541-.8579-.8561-1.4289-.2028-.571-.3068-1.59-.3068-2.339 0-.7034.1099-1.5856.3245-2.1735.2198-.5871.5316-1.0949.9542-1.515.4167-.42.9255-.743 1.5213-.98a5.5923 5.5923 0 012.052-.3855c.7353 0 1.4114.092 2.0707.2024.6592.1088 1.2204.2236 1.6776.35v8.945-.0008zM11.5026 4.2418v-.6511c-.0005-.4553-.3704-.8241-.8266-.8241H8.749c-.4561 0-.826.3688-.8265.824v.669c0 .0742.0693.1264.1445.1096a6.0346 6.0346 0 011.6768-.2362 6.125 6.125 0 011.6202.2185.1116.1116 0 00.1386-.1097zm-5.2806.852l-.3296-.3282a.8266.8266 0 00-1.168 0l-.393.3922a.8199.8199 0 000 1.164l.3237.323c.0524.0515.1268.0397.1733-.0117.191-.259.3989-.507.6305-.7372.2374-.2362.48-.4437.7462-.6335.0575-.0354.0634-.1155.017-.1687zm3.5159 2.069v2.818c0 .081.0879.1392.1622.0987l2.5102-1.2964c.0574-.0287.0752-.0987.0464-.1552a3.1237 3.1237 0 00-2.603-1.574c-.0575 0-.115.0456-.115.1097l-.0008-.0009zm.0008 6.789c-2.0933.0005-3.7915-1.6912-3.7947-3.7804C5.9468 8.0821 7.6452 6.39 9.7387 6.391c2.0932-.0005 3.7911 1.6914 3.794 3.7804a3.7783 3.7783 0 01-1.1124 2.675 3.7936 3.7936 0 01-2.6824 1.1054h.0008zM9.738 4.8002c-1.9218 0-3.6975 1.0232-4.6584 2.6841a5.359 5.359 0 000 5.3683c.9609 1.661 2.7366 2.6841 4.6584 2.6841a5.3891 5.3891 0 003.8073-1.5725 5.3675 5.3675 0 001.578-3.7987 5.3574 5.3574 0 00-1.5771-3.797A5.379 5.379 0 009.7387 4.801l-.0008-.0008z",fill:"currentColor",fillRule:"evenodd"})))}function ce(){return oe.a.createElement(oe.a.Fragment,null,oe.a.createElement("div",{className:"DocSearch-Logo"},oe.a.createElement(ae,null)),oe.a.createElement("ul",{className:"DocSearch-Commands"},oe.a.createElement("li",null,oe.a.createElement("span",{className:"DocSearch-Commands-Key"},oe.a.createElement(ie,null,oe.a.createElement("path",{d:"M12 3.53088v3c0 1-1 2-2 2H4M7 11.53088l-3-3 3-3"}))),oe.a.createElement("span",{className:"DocSearch-Label"},"to select")),oe.a.createElement("li",null,oe.a.createElement("span",{className:"DocSearch-Commands-Key"},oe.a.createElement(ie,null,oe.a.createElement("path",{d:"M7.5 3.5v8M10.5 8.5l-3 3-3-3"}))),oe.a.createElement("span",{className:"DocSearch-Commands-Key"},oe.a.createElement(ie,null,oe.a.createElement("path",{d:"M7.5 11.5v-8M10.5 6.5l-3-3-3 3"}))),oe.a.createElement("span",{className:"DocSearch-Label"},"to navigate")),oe.a.createElement("li",null,oe.a.createElement("span",{className:"DocSearch-Commands-Key"},oe.a.createElement(ie,null,oe.a.createElement("path",{d:"M13.6167 8.936c-.1065.3583-.6883.962-1.4875.962-.7993 0-1.653-.9165-1.653-2.1258v-.5678c0-1.2548.7896-2.1016 1.653-2.1016.8634 0 1.3601.4778 1.4875 1.0724M9 6c-.1352-.4735-.7506-.9219-1.46-.8972-.7092.0246-1.344.57-1.344 1.2166s.4198.8812 1.3445.9805C8.465 7.3992 8.968 7.9337 9 8.5c.032.5663-.454 1.398-1.4595 1.398C6.6593 9.898 6 9 5.963 8.4851m-1.4748.5368c-.2635.5941-.8099.876-1.5443.876s-1.7073-.6248-1.7073-2.204v-.4603c0-1.0416.721-2.131 1.7073-2.131.9864 0 1.6425 1.031 1.5443 2.2492h-2.956"}))),oe.a.createElement("span",{className:"DocSearch-Label"},"to close"))))}function ie(e){return oe.a.createElement("svg",{width:"15",height:"15"},oe.a.createElement("g",{fill:"none",stroke:"currentColor",strokeLinecap:"round",strokeLinejoin:"round",strokeWidth:"1.2"},e.children))}function le(e){var t=e.hit,r=e.children;return oe.a.createElement("a",{href:t.url},r)}function se(){return oe.a.createElement("svg",{width:"40",height:"40",viewBox:"0 0 20 20",fill:"none",fillRule:"evenodd",stroke:"currentColor",strokeLinecap:"round",strokeLinejoin:"round"},oe.a.createElement("path",{d:"M19 4.8a16 16 0 00-2-1.2m-3.3-1.2A16 16 0 001.1 4.7M16.7 8a12 12 0 00-2.8-1.4M10 6a12 12 0 00-6.7 2M12.3 14.7a4 4 0 00-4.5 0M14.5 11.4A8 8 0 0010 10M3 16L18 2M10 18h0"}))}function ue(){return oe.a.createElement("div",{className:"DocSearch-ErrorScreen"},oe.a.createElement("div",{className:"DocSearch-Screen-Icon"},oe.a.createElement(se,null)),oe.a.createElement("p",{className:"DocSearch-Title"},"Unable to fetch results"),oe.a.createElement("p",{className:"DocSearch-Help"},"You might want to check your network connection."))}function fe(){return oe.a.createElement("svg",{width:"40",height:"40",viewBox:"0 0 20 20",fill:"none",fillRule:"evenodd",stroke:"currentColor",strokeLinecap:"round",strokeLinejoin:"round"},oe.a.createElement("path",{d:"M15.5 4.8c2 3 1.7 7-1 9.7h0l4.3 4.3-4.3-4.3a7.8 7.8 0 01-9.8 1m-2.2-2.2A7.8 7.8 0 0113.2 2.4M2 18L18 2"}))}function me(e){return function(e){if(Array.isArray(e))return pe(e)}(e)||function(e){if("undefined"!=typeof Symbol&&Symbol.iterator in Object(e))return Array.from(e)}(e)||function(e,t){if(!e)return;if("string"==typeof e)return pe(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return pe(e,t)}(e)||function(){throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}()}function pe(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}function he(e){var t=e.state.context.searchSuggestions;return oe.a.createElement("div",{className:"DocSearch-NoResults"},oe.a.createElement("div",{className:"DocSearch-Screen-Icon"},oe.a.createElement(fe,null)),oe.a.createElement("p",{className:"DocSearch-Title"},'No results for "',oe.a.createElement("strong",null,e.state.query),'"'),t&&t.length>0&&oe.a.createElement("div",{className:"DocSearch-NoResults-Prefill-List"},oe.a.createElement("p",{className:"DocSearch-Help"},"Try searching for:"),oe.a.createElement("ul",null,t.slice(0,3).reduce((function(t,r){return[].concat(me(t),[oe.a.createElement("li",{key:r},oe.a.createElement("button",{className:"DocSearch-Prefill",key:r,onClick:function(){e.setQuery(r.toLowerCase()+" "),e.refresh(),e.inputRef.current.focus()}},r))])}),[]))),oe.a.createElement("p",{className:"DocSearch-Help"},"Believe this query should return results?"," ",oe.a.createElement("a",{href:"https://github.com/algolia/docsearch-configs/issues/new?template=Missing_results.md&title=[".concat(e.indexName,']+Missing+results+for+query+"').concat(e.state.query,'"'),target:"_blank",rel:"noopener noreferrer"},"Let us know"),"."))}function de(e){switch(e.type){case"lvl1":return oe.a.createElement(ve,null);case"content":return oe.a.createElement(ge,null);default:return oe.a.createElement(ye,null)}}function ve(){return oe.a.createElement("svg",{width:"20",height:"20",viewBox:"0 0 20 20"},oe.a.createElement("path",{d:"M17 6v12c0 .52-.2 1-1 1H4c-.7 0-1-.33-1-1V2c0-.55.42-1 1-1h8l5 5zM14 8h-3.13c-.51 0-.87-.34-.87-.87V4",stroke:"currentColor",fill:"none",fillRule:"evenodd",strokeLinejoin:"round"}))}function ye(){return oe.a.createElement("svg",{width:"20",height:"20",viewBox:"0 0 20 20"},oe.a.createElement("path",{d:"M13 13h4-4V8H7v5h6v4-4H7V8H3h4V3v5h6V3v5h4-4v5zm-6 0v4-4H3h4z",stroke:"currentColor",fill:"none",fillRule:"evenodd",strokeLinecap:"round",strokeLinejoin:"round"}))}function ge(){return oe.a.createElement("svg",{width:"20",height:"20",viewBox:"0 0 20 20"},oe.a.createElement("path",{d:"M17 5H3h14zm0 5H3h14zm0 5H3h14z",stroke:"currentColor",fill:"none",fillRule:"evenodd",strokeLinejoin:"round"}))}function be(){return oe.a.createElement("svg",{className:"DocSearch-Hit-Select-Icon",width:"20",height:"20",viewBox:"0 0 20 20"},oe.a.createElement("g",{stroke:"currentColor",fill:"none",fillRule:"evenodd",strokeLinecap:"round",strokeLinejoin:"round"},oe.a.createElement("path",{d:"M18 3v4c0 2-2 4-4 4H2"}),oe.a.createElement("path",{d:"M8 17l-6-6 6-6"})))}function Oe(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function Se(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?Oe(Object(r),!0).forEach((function(t){Ee(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):Oe(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function Ee(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function we(e,t){if(null==e)return{};var r,n,o=function(e,t){if(null==e)return{};var r,n,o={},a=Object.keys(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}function je(e,t){return t.split(".").reduce((function(e,t){return e&&e[t]}),e)}function Pe(e){var t=e.hit,r=e.attribute,n=e.tagName,o=void 0===n?"span":n,a=we(e,["hit","attribute","tagName"]);return Object(ne.createElement)(o,Se(Se({},a),{},{dangerouslySetInnerHTML:{__html:je(t,"_snippetResult.".concat(r,".value"))||je(t,r)}}))}function Ie(e,t){return function(e){if(Array.isArray(e))return e}(e)||function(e,t){if("undefined"==typeof Symbol||!(Symbol.iterator in Object(e)))return;var r=[],n=!0,o=!1,a=void 0;try{for(var c,i=e[Symbol.iterator]();!(n=(c=i.next()).done)&&(r.push(c.value),!t||r.length!==t);n=!0);}catch(l){o=!0,a=l}finally{try{n||null==i.return||i.return()}finally{if(o)throw a}}return r}(e,t)||function(e,t){if(!e)return;if("string"==typeof e)return De(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return De(e,t)}(e,t)||function(){throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}()}function De(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}function Ce(){return(Ce=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}function Ae(e){return e.collection&&0!==e.collection.items.length?oe.a.createElement("section",{className:"DocSearch-Hits"},oe.a.createElement("div",{className:"DocSearch-Hit-source"},e.title),oe.a.createElement("ul",e.getListProps(),e.collection.items.map((function(t,r){return oe.a.createElement(Ne,Ce({key:[e.title,t.objectID].join(":"),item:t,index:r},e))})))):null}function Ne(e){var t=e.item,r=e.index,n=e.renderIcon,o=e.renderAction,a=e.getItemProps,c=e.onItemClick,i=e.collection,l=e.hitComponent,s=Ie(oe.a.useState(!1),2),u=s[0],f=s[1],m=Ie(oe.a.useState(!1),2),p=m[0],h=m[1],d=oe.a.useRef(null),v=l;return oe.a.createElement("li",Ce({className:["DocSearch-Hit",t.__docsearch_parent&&"DocSearch-Hit--Child",u&&"DocSearch-Hit--deleting",p&&"DocSearch-Hit--favoriting"].filter(Boolean).join(" "),onTransitionEnd:function(){d.current&&d.current()}},a({item:t,source:i.source,onClick:function(){c(t)}})),oe.a.createElement(v,{hit:t},oe.a.createElement("div",{className:"DocSearch-Hit-Container"},n({item:t,index:r}),t.hierarchy[t.type]&&"lvl1"===t.type&&oe.a.createElement("div",{className:"DocSearch-Hit-content-wrapper"},oe.a.createElement(Pe,{className:"DocSearch-Hit-title",hit:t,attribute:"hierarchy.lvl1"}),t.content&&oe.a.createElement(Pe,{className:"DocSearch-Hit-path",hit:t,attribute:"content"})),t.hierarchy[t.type]&&("lvl2"===t.type||"lvl3"===t.type||"lvl4"===t.type||"lvl5"===t.type||"lvl6"===t.type)&&oe.a.createElement("div",{className:"DocSearch-Hit-content-wrapper"},oe.a.createElement(Pe,{className:"DocSearch-Hit-title",hit:t,attribute:"hierarchy.".concat(t.type)}),oe.a.createElement(Pe,{className:"DocSearch-Hit-path",hit:t,attribute:"hierarchy.lvl1"})),"content"===t.type&&oe.a.createElement("div",{className:"DocSearch-Hit-content-wrapper"},oe.a.createElement(Pe,{className:"DocSearch-Hit-title",hit:t,attribute:"content"}),oe.a.createElement(Pe,{className:"DocSearch-Hit-path",hit:t,attribute:"hierarchy.lvl1"})),o({item:t,runDeleteTransition:function(e){f(!0),d.current=e},runFavoriteTransition:function(e){h(!0),d.current=e}}))))}function ke(){return(ke=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}function xe(e){return oe.a.createElement("div",{className:"DocSearch-Dropdown-Container"},e.state.collections.map((function(t,r){if(0===t.items.length)return null;var n=t.items[0].hierarchy.lvl0;return oe.a.createElement(Ae,ke({},e,{key:r,title:n,collection:t,renderIcon:function(e){var r,n=e.item,o=e.index;return oe.a.createElement(oe.a.Fragment,null,n.__docsearch_parent&&oe.a.createElement("svg",{className:"DocSearch-Hit-Tree",viewBox:"0 0 24 54"},oe.a.createElement("g",{stroke:"currentColor",fill:"none",fillRule:"evenodd",strokeLinecap:"round",strokeLinejoin:"round"},n.__docsearch_parent!==(null===(r=t.items[o+1])||void 0===r?void 0:r.__docsearch_parent)?oe.a.createElement("path",{d:"M8 6v21M20 27H8.3"}):oe.a.createElement("path",{d:"M8 6v42M20 27H8.3"}))),oe.a.createElement("div",{className:"DocSearch-Hit-icon"},oe.a.createElement(de,{type:n.type})))},renderAction:function(){return oe.a.createElement("div",{className:"DocSearch-Hit-action"},oe.a.createElement(be,null))}}))})),e.resultsFooterComponent&&oe.a.createElement("section",{className:"DocSearch-HitsFooter"},oe.a.createElement(e.resultsFooterComponent,{state:e.state})))}function qe(){return oe.a.createElement("svg",{width:"20",height:"20",viewBox:"0 0 20 20"},oe.a.createElement("g",{stroke:"currentColor",fill:"none",fillRule:"evenodd",strokeLinecap:"round",strokeLinejoin:"round"},oe.a.createElement("path",{d:"M3.18 6.6a8.23 8.23 0 1112.93 9.94h0a8.23 8.23 0 01-11.63 0"}),oe.a.createElement("path",{d:"M6.44 7.25H2.55V3.36M10.45 6v5.6M10.45 11.6L13 13"})))}function Re(){return oe.a.createElement("svg",{width:"20",height:"20",viewBox:"0 0 20 20"},oe.a.createElement("path",{d:"M10 14.2L5 17l1-5.6-4-4 5.5-.7 2.5-5 2.5 5 5.6.8-4 4 .9 5.5z",stroke:"currentColor",fill:"none",fillRule:"evenodd",strokeLinejoin:"round"}))}function Te(){return oe.a.createElement("svg",{width:"20",height:"20",viewBox:"0 0 20 20"},oe.a.createElement("path",{d:"M10 10l5.09-5.09L10 10l5.09 5.09L10 10zm0 0L4.91 4.91 10 10l-5.09 5.09L10 10z",stroke:"currentColor",fill:"none",fillRule:"evenodd",strokeLinecap:"round",strokeLinejoin:"round"}))}function _e(){return(_e=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}function Me(e){return"idle"===e.state.status&&!1===e.hasCollections?e.disableUserPersonalization?null:oe.a.createElement("div",{className:"DocSearch-StartScreen"},oe.a.createElement("p",{className:"DocSearch-Help"},"No recent searches")):!1===e.hasCollections?null:oe.a.createElement("div",{className:"DocSearch-Dropdown-Container"},oe.a.createElement(Ae,_e({},e,{title:"Recent",collection:e.state.collections[0],renderIcon:function(){return oe.a.createElement("div",{className:"DocSearch-Hit-icon"},oe.a.createElement(qe,null))},renderAction:function(t){var r=t.item,n=t.runFavoriteTransition,o=t.runDeleteTransition;return oe.a.createElement(oe.a.Fragment,null,oe.a.createElement("div",{className:"DocSearch-Hit-action"},oe.a.createElement("button",{className:"DocSearch-Hit-action-button",title:"Save this search",onClick:function(t){t.preventDefault(),t.stopPropagation(),n((function(){e.favoriteSearches.add(r),e.recentSearches.remove(r),e.refresh()}))}},oe.a.createElement(Re,null))),oe.a.createElement("div",{className:"DocSearch-Hit-action"},oe.a.createElement("button",{className:"DocSearch-Hit-action-button",title:"Remove this search from history",onClick:function(t){t.preventDefault(),t.stopPropagation(),o((function(){e.recentSearches.remove(r),e.refresh()}))}},oe.a.createElement(Te,null))))}})),oe.a.createElement(Ae,_e({},e,{title:"Favorites",collection:e.state.collections[1],renderIcon:function(){return oe.a.createElement("div",{className:"DocSearch-Hit-icon"},oe.a.createElement(Re,null))},renderAction:function(t){var r=t.item,n=t.runDeleteTransition;return oe.a.createElement("div",{className:"DocSearch-Hit-action"},oe.a.createElement("button",{className:"DocSearch-Hit-action-button",title:"Remove this search from favorites",onClick:function(t){t.preventDefault(),t.stopPropagation(),n((function(){e.favoriteSearches.remove(r),e.refresh()}))}},oe.a.createElement(Te,null)))}})))}function He(){return(He=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}var Le=oe.a.memo((function(e){if("error"===e.state.status)return oe.a.createElement(ue,null);var t=e.state.collections.some((function(e){return e.items.length>0}));return e.state.query?!1===t?oe.a.createElement(he,e):oe.a.createElement(xe,e):oe.a.createElement(Me,He({},e,{hasCollections:t}))}),(function(e,t){return"loading"===t.state.status||"stalled"===t.state.status}));function Fe(){return oe.a.createElement("svg",{viewBox:"0 0 38 38",stroke:"currentColor",strokeOpacity:".5"},oe.a.createElement("g",{fill:"none",fillRule:"evenodd"},oe.a.createElement("g",{transform:"translate(1 1)",strokeWidth:"2"},oe.a.createElement("circle",{strokeOpacity:".3",cx:"18",cy:"18",r:"18"}),oe.a.createElement("path",{d:"M36 18c0-9.94-8.06-18-18-18"},oe.a.createElement("animateTransform",{attributeName:"transform",type:"rotate",from:"0 18 18",to:"360 18 18",dur:"1s",repeatCount:"indefinite"})))))}var Ue=r(175);function Ve(){return(Ve=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}function ze(e){var t=e.getFormProps({inputElement:e.inputRef.current}).onReset;return oe.a.useEffect((function(){e.autoFocus&&e.inputRef.current&&e.inputRef.current.focus()}),[e.autoFocus,e.inputRef]),oe.a.useEffect((function(){e.isFromSelection&&e.inputRef.current&&e.inputRef.current.select()}),[e.isFromSelection,e.inputRef]),oe.a.createElement(oe.a.Fragment,null,oe.a.createElement("form",{className:"DocSearch-Form",onSubmit:function(e){e.preventDefault()},onReset:t},oe.a.createElement("label",Ve({className:"DocSearch-MagnifierLabel"},e.getLabelProps()),oe.a.createElement(Ue.a,null)),oe.a.createElement("div",{className:"DocSearch-LoadingIndicator"},oe.a.createElement(Fe,null)),oe.a.createElement("input",Ve({className:"DocSearch-Input",ref:e.inputRef},e.getInputProps({inputElement:e.inputRef.current,autoFocus:e.autoFocus,maxLength:64}))),oe.a.createElement("button",{type:"reset",title:"Clear the query",className:"DocSearch-Reset",hidden:!e.state.query},oe.a.createElement(Te,null))),oe.a.createElement("button",{className:"DocSearch-Cancel",onClick:e.onClose},"Cancel"))}function Je(e,t){if(null==e)return{};var r,n,o=function(e,t){if(null==e)return{};var r,n,o={},a=Object.keys(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(n=0;n<a.length;n++)r=a[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}function Be(e){return!1===function(){var e="__TEST_KEY__";try{return localStorage.setItem(e,""),localStorage.removeItem(e),!0}catch(t){return!1}}()?{setItem:function(){},getItem:function(){return[]}}:{setItem:function(t){return window.localStorage.setItem(e,JSON.stringify(t))},getItem:function(){var t=window.localStorage.getItem(e);return t?JSON.parse(t):[]}}}function Ke(e){var t=e.key,r=e.limit,n=void 0===r?5:r,o=Be(t),a=o.getItem().slice(0,n);return{add:function(e){var t=e,r=(t._highlightResult,t._snippetResult,Je(t,["_highlightResult","_snippetResult"])),c=a.findIndex((function(e){return e.objectID===r.objectID}));c>-1&&a.splice(c,1),a.unshift(r),a=a.slice(0,n),o.setItem(a)},remove:function(e){a=a.filter((function(t){return t.objectID!==e.objectID})),o.setItem(a)},getAll:function(){return a}}}function $e(e){const t=`algoliasearch-client-js-${e.key}`;let r;const n=()=>(void 0===r&&(r=e.localStorage||window.localStorage),r),o=()=>JSON.parse(n().getItem(t)||"{}");return{get:(e,t,r={miss:()=>Promise.resolve()})=>Promise.resolve().then((()=>{const r=JSON.stringify(e),n=o()[r];return Promise.all([n||t(),void 0!==n])})).then((([e,t])=>Promise.all([e,t||r.miss(e)]))).then((([e])=>e)),set:(e,r)=>Promise.resolve().then((()=>{const a=o();return a[JSON.stringify(e)]=r,n().setItem(t,JSON.stringify(a)),r})),delete:e=>Promise.resolve().then((()=>{const r=o();delete r[JSON.stringify(e)],n().setItem(t,JSON.stringify(r))})),clear:()=>Promise.resolve().then((()=>{n().removeItem(t)}))}}function We(e){const t=[...e.caches],r=t.shift();return void 0===r?{get:(e,t,r={miss:()=>Promise.resolve()})=>t().then((e=>Promise.all([e,r.miss(e)]))).then((([e])=>e)),set:(e,t)=>Promise.resolve(t),delete:e=>Promise.resolve(),clear:()=>Promise.resolve()}:{get:(e,n,o={miss:()=>Promise.resolve()})=>r.get(e,n,o).catch((()=>We({caches:t}).get(e,n,o))),set:(e,n)=>r.set(e,n).catch((()=>We({caches:t}).set(e,n))),delete:e=>r.delete(e).catch((()=>We({caches:t}).delete(e))),clear:()=>r.clear().catch((()=>We({caches:t}).clear()))}}function Qe(e={serializable:!0}){let t={};return{get(r,n,o={miss:()=>Promise.resolve()}){const a=JSON.stringify(r);if(a in t)return Promise.resolve(e.serializable?JSON.parse(t[a]):t[a]);const c=n(),i=o&&o.miss||(()=>Promise.resolve());return c.then((e=>i(e))).then((()=>c))},set:(r,n)=>(t[JSON.stringify(r)]=e.serializable?JSON.stringify(n):n,Promise.resolve(n)),delete:e=>(delete t[JSON.stringify(e)],Promise.resolve()),clear:()=>(t={},Promise.resolve())}}function Ye(e){let t=e.length-1;for(;t>0;t--){const r=Math.floor(Math.random()*(t+1)),n=e[t];e[t]=e[r],e[r]=n}return e}function Ge(e,t){return t?(Object.keys(t).forEach((r=>{e[r]=t[r](e)})),e):e}function Xe(e,...t){let r=0;return e.replace(/%s/g,(()=>encodeURIComponent(t[r++])))}const Ze="4.8.6",et={WithinQueryParameters:0,WithinHeaders:1};function tt(e,t){const r=e||{},n=r.data||{};return Object.keys(r).forEach((e=>{-1===["timeout","headers","queryParameters","data","cacheable"].indexOf(e)&&(n[e]=r[e])})),{data:Object.entries(n).length>0?n:void 0,timeout:r.timeout||t,headers:r.headers||{},queryParameters:r.queryParameters||{},cacheable:r.cacheable}}const rt={Read:1,Write:2,Any:3},nt=1,ot=2,at=3,ct=12e4;function it(e,t=nt){return{...e,status:t,lastUpdate:Date.now()}}function lt(e){return"string"==typeof e?{protocol:"https",url:e,accept:rt.Any}:{protocol:e.protocol||"https",url:e.url,accept:e.accept||rt.Any}}const st="GET",ut="POST";function ft(e,t){return Promise.all(t.map((t=>e.get(t,(()=>Promise.resolve(it(t))))))).then((e=>{const r=e.filter((e=>function(e){return e.status===nt||Date.now()-e.lastUpdate>ct}(e))),n=e.filter((e=>function(e){return e.status===at&&Date.now()-e.lastUpdate<=ct}(e))),o=[...r,...n];return{getTimeout:(e,t)=>(0===n.length&&0===e?1:n.length+3+e)*t,statelessHosts:o.length>0?o.map((e=>lt(e))):t}}))}function mt(e,t,r,n){const o=[],a=function(e,t){if(e.method===st||void 0===e.data&&void 0===t.data)return;const r=Array.isArray(e.data)?e.data:{...e.data,...t.data};return JSON.stringify(r)}(r,n),c=function(e,t){const r={...e.headers,...t.headers},n={};return Object.keys(r).forEach((e=>{const t=r[e];n[e.toLowerCase()]=t})),n}(e,n),i=r.method,l=r.method!==st?{}:{...r.data,...n.data},s={"x-algolia-agent":e.userAgent.value,...e.queryParameters,...l,...n.queryParameters};let u=0;const f=(t,l)=>{const m=t.pop();if(void 0===m)throw{name:"RetryError",message:"Unreachable hosts - your application id may be incorrect. If the error persists, contact support@algolia.com.",transporterStackTrace:vt(o)};const p={data:a,headers:c,method:i,url:ht(m,r.path,s),connectTimeout:l(u,e.timeouts.connect),responseTimeout:l(u,n.timeout)},h=e=>{const r={request:p,response:e,host:m,triesLeft:t.length};return o.push(r),r},d={onSuccess:e=>function(e){try{return JSON.parse(e.content)}catch(t){throw function(e,t){return{name:"DeserializationError",message:e,response:t}}(t.message,e)}}(e),onRetry(r){const n=h(r);return r.isTimedOut&&u++,Promise.all([e.logger.info("Retryable failure",yt(n)),e.hostsCache.set(m,it(m,r.isTimedOut?at:ot))]).then((()=>f(t,l)))},onFail(e){throw h(e),function({content:e,status:t},r){let n=e;try{n=JSON.parse(e).message}catch(o){}return function(e,t,r){return{name:"ApiError",message:e,status:t,transporterStackTrace:r}}(n,t,r)}(e,vt(o))}};return e.requester.send(p).then((e=>((e,t)=>(e=>{const t=e.status;return e.isTimedOut||(({isTimedOut:e,status:t})=>!e&&0==~~t)(e)||2!=~~(t/100)&&4!=~~(t/100)})(e)?t.onRetry(e):(({status:e})=>2==~~(e/100))(e)?t.onSuccess(e):t.onFail(e))(e,d)))};return ft(e.hostsCache,t).then((e=>f([...e.statelessHosts].reverse(),e.getTimeout)))}function pt(e){const t={value:`Algolia for JavaScript (${e})`,add(e){const r=`; ${e.segment}${void 0!==e.version?` (${e.version})`:""}`;return-1===t.value.indexOf(r)&&(t.value=`${t.value}${r}`),t}};return t}function ht(e,t,r){const n=dt(r);let o=`${e.protocol}://${e.url}/${"/"===t.charAt(0)?t.substr(1):t}`;return n.length&&(o+=`?${n}`),o}function dt(e){return Object.keys(e).map((t=>{return Xe("%s=%s",t,(r=e[t],"[object Object]"===Object.prototype.toString.call(r)||"[object Array]"===Object.prototype.toString.call(r)?JSON.stringify(e[t]):e[t]));var r})).join("&")}function vt(e){return e.map((e=>yt(e)))}function yt(e){const t=e.request.headers["x-algolia-api-key"]?{"x-algolia-api-key":"*****"}:{};return{...e,request:{...e.request,headers:{...e.request.headers,...t}}}}const gt=e=>{const t=e.appId,r=function(e,t,r){const n={"x-algolia-api-key":r,"x-algolia-application-id":t};return{headers:()=>e===et.WithinHeaders?n:{},queryParameters:()=>e===et.WithinQueryParameters?n:{}}}(void 0!==e.authMode?e.authMode:et.WithinHeaders,t,e.apiKey),n=function(e){const{hostsCache:t,logger:r,requester:n,requestsCache:o,responsesCache:a,timeouts:c,userAgent:i,hosts:l,queryParameters:s,headers:u}=e,f={hostsCache:t,logger:r,requester:n,requestsCache:o,responsesCache:a,timeouts:c,userAgent:i,headers:u,queryParameters:s,hosts:l.map((e=>lt(e))),read(e,t){const r=tt(t,f.timeouts.read),n=()=>mt(f,f.hosts.filter((e=>0!=(e.accept&rt.Read))),e,r);if(!0!==(void 0!==r.cacheable?r.cacheable:e.cacheable))return n();const o={request:e,mappedRequestOptions:r,transporter:{queryParameters:f.queryParameters,headers:f.headers}};return f.responsesCache.get(o,(()=>f.requestsCache.get(o,(()=>f.requestsCache.set(o,n()).then((e=>Promise.all([f.requestsCache.delete(o),e])),(e=>Promise.all([f.requestsCache.delete(o),Promise.reject(e)]))).then((([e,t])=>t))))),{miss:e=>f.responsesCache.set(o,e)})},write:(e,t)=>mt(f,f.hosts.filter((e=>0!=(e.accept&rt.Write))),e,tt(t,f.timeouts.write))};return f}({hosts:[{url:`${t}-dsn.algolia.net`,accept:rt.Read},{url:`${t}.algolia.net`,accept:rt.Write}].concat(Ye([{url:`${t}-1.algolianet.com`},{url:`${t}-2.algolianet.com`},{url:`${t}-3.algolianet.com`}])),...e,headers:{...r.headers(),"content-type":"application/x-www-form-urlencoded",...e.headers},queryParameters:{...r.queryParameters(),...e.queryParameters}});return Ge({transporter:n,appId:t,addAlgoliaAgent(e,t){n.userAgent.add({segment:e,version:t})},clearCache:()=>Promise.all([n.requestsCache.clear(),n.responsesCache.clear()]).then((()=>{}))},e.methods)},bt=e=>(t,r={})=>Ge({transporter:e.transporter,appId:e.appId,indexName:t},r.methods),Ot=e=>(t,r)=>{const n=t.map((e=>({...e,params:dt(e.params||{})})));return e.transporter.read({method:ut,path:"1/indexes/*/queries",data:{requests:n},cacheable:!0},r)},St=e=>(t,r)=>Promise.all(t.map((t=>{const{facetName:n,facetQuery:o,...a}=t.params;return bt(e)(t.indexName,{methods:{searchForFacetValues:jt}}).searchForFacetValues(n,o,{...r,...a})}))),Et=e=>(t,r,n)=>e.transporter.read({method:ut,path:Xe("1/answers/%s/prediction",e.indexName),data:{query:t,queryLanguages:r},cacheable:!0},n),wt=e=>(t,r)=>e.transporter.read({method:ut,path:Xe("1/indexes/%s/query",e.indexName),data:{query:t},cacheable:!0},r),jt=e=>(t,r,n)=>e.transporter.read({method:ut,path:Xe("1/indexes/%s/facets/%s/query",e.indexName,t),data:{facetQuery:r},cacheable:!0},n),Pt=1,It=2,Dt=3;function Ct(e,t,r){const n={appId:e,apiKey:t,timeouts:{connect:1,read:2,write:30},requester:{send:e=>new Promise((t=>{const r=new XMLHttpRequest;r.open(e.method,e.url,!0),Object.keys(e.headers).forEach((t=>r.setRequestHeader(t,e.headers[t])));const n=(e,n)=>setTimeout((()=>{r.abort(),t({status:0,content:n,isTimedOut:!0})}),1e3*e),o=n(e.connectTimeout,"Connection timeout");let a;r.onreadystatechange=()=>{r.readyState>r.OPENED&&void 0===a&&(clearTimeout(o),a=n(e.responseTimeout,"Socket timeout"))},r.onerror=()=>{0===r.status&&(clearTimeout(o),clearTimeout(a),t({content:r.responseText||"Network request failed",status:r.status,isTimedOut:!1}))},r.onload=()=>{clearTimeout(o),clearTimeout(a),t({content:r.responseText,status:r.status,isTimedOut:!1})},r.send(e.data)}))},logger:(o=Dt,{debug:(e,t)=>(Pt>=o&&console.debug(e,t),Promise.resolve()),info:(e,t)=>(It>=o&&console.info(e,t),Promise.resolve()),error:(e,t)=>(console.error(e,t),Promise.resolve())}),responsesCache:Qe(),requestsCache:Qe({serializable:!1}),hostsCache:We({caches:[$e({key:`4.8.6-${e}`}),Qe()]}),userAgent:pt(Ze).add({segment:"Browser",version:"lite"}),authMode:et.WithinQueryParameters};var o;return gt({...n,...r,methods:{search:Ot,searchForFacetValues:St,multipleQueries:Ot,multipleSearchForFacetValues:St,initIndex:e=>t=>bt(e)(t,{methods:{search:wt,searchForFacetValues:jt,findAnswers:Et}})}})}Ct.version=Ze;var At=Ct,Nt="3.0.0-alpha.34";function kt(){}function xt(e){return e}function qt(e,t){return e.reduce((function(e,r){var n=t(r);return e.hasOwnProperty(n)||(e[n]=[]),e[n].length<5&&e[n].push(r),e}),{})}function Rt(){return(Rt=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}function Tt(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function _t(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?Tt(Object(r),!0).forEach((function(t){Mt(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):Tt(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function Mt(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function Ht(e,t){return function(e){if(Array.isArray(e))return e}(e)||function(e,t){if("undefined"==typeof Symbol||!(Symbol.iterator in Object(e)))return;var r=[],n=!0,o=!1,a=void 0;try{for(var c,i=e[Symbol.iterator]();!(n=(c=i.next()).done)&&(r.push(c.value),!t||r.length!==t);n=!0);}catch(l){o=!0,a=l}finally{try{n||null==i.return||i.return()}finally{if(o)throw a}}return r}(e,t)||function(e,t){if(!e)return;if("string"==typeof e)return Lt(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return Lt(e,t)}(e,t)||function(){throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}()}function Lt(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}function Ft(e){var t=e.appId,r=void 0===t?"BH4D9OD16A":t,n=e.apiKey,o=e.indexName,a=e.placeholder,c=void 0===a?"Search docs":a,i=e.searchParameters,l=e.onClose,s=void 0===l?kt:l,u=e.transformItems,f=void 0===u?xt:u,m=e.hitComponent,p=void 0===m?le:m,h=e.resultsFooterComponent,d=void 0===h?function(){return null}:h,v=e.navigator,y=e.initialScrollY,g=void 0===y?0:y,b=e.transformSearchClient,O=void 0===b?xt:b,S=e.disableUserPersonalization,E=void 0!==S&&S,w=e.initialQuery,j=void 0===w?"":w,P=Ht(oe.a.useState({query:"",collections:[],completion:null,context:{},isOpen:!1,activeItemId:null,status:"idle"}),2),I=P[0],D=P[1],C=oe.a.useRef(null),A=oe.a.useRef(null),N=oe.a.useRef(null),k=oe.a.useRef(null),x=oe.a.useRef(null),q=oe.a.useRef(10),R=oe.a.useRef("undefined"!=typeof window?window.getSelection().toString().slice(0,64):"").current,T=oe.a.useRef(j||R).current,_=function(e,t,r){return oe.a.useMemo((function(){var n=At(e,t);return n.addAlgoliaAgent("docsearch",Nt),!1===/docsearch.js \(.*\)/.test(n.transporter.userAgent.value)&&n.addAlgoliaAgent("docsearch-react",Nt),r(n)}),[e,t,r])}(r,n,O),M=oe.a.useRef(Ke({key:"__DOCSEARCH_FAVORITE_SEARCHES__".concat(o),limit:10})).current,H=oe.a.useRef(Ke({key:"__DOCSEARCH_RECENT_SEARCHES__".concat(o),limit:0===M.getAll().length?7:4})).current,L=oe.a.useCallback((function(e){if(!E){var t="content"===e.type?e.__docsearch_parent:e;t&&-1===M.getAll().findIndex((function(e){return e.objectID===t.objectID}))&&H.add(t)}}),[M,H,E]),F=oe.a.useMemo((function(){return Q({id:"docsearch",defaultActiveItemId:0,placeholder:c,openOnFocus:!0,initialState:{query:T,context:{searchSuggestions:[]}},navigator:v,onStateChange:function(e){var t=e.state;D(t)},getSources:function(e){var t=e.query,r=e.state,n=e.setContext,a=e.setStatus;return t?re({searchClient:_,queries:[{indexName:o,query:t,params:_t({attributesToRetrieve:["hierarchy.lvl0","hierarchy.lvl1","hierarchy.lvl2","hierarchy.lvl3","hierarchy.lvl4","hierarchy.lvl5","hierarchy.lvl6","content","type","url"],attributesToSnippet:["hierarchy.lvl1:".concat(q.current),"hierarchy.lvl2:".concat(q.current),"hierarchy.lvl3:".concat(q.current),"hierarchy.lvl4:".concat(q.current),"hierarchy.lvl5:".concat(q.current),"hierarchy.lvl6:".concat(q.current),"content:".concat(q.current)],snippetEllipsisText:"\u2026",highlightPreTag:"<mark>",highlightPostTag:"</mark>",hitsPerPage:20},i)}]}).catch((function(e){throw"RetryError"===e.name&&a("error"),e})).then((function(e){var t=e[0].hits,o=e[0].nbHits,a=qt(t,(function(e){return e.hierarchy.lvl0}));return r.context.searchSuggestions.length<Object.keys(a).length&&n({searchSuggestions:Object.keys(a)}),n({nbHits:o}),Object.values(a).map((function(e,t){return{sourceId:"hits".concat(t),onSelect:function(e){var t=e.item,r=e.event;L(t),r.shiftKey||r.ctrlKey||r.metaKey||s()},getItemUrl:function(e){return e.item.url},getItems:function(){return Object.values(qt(e,(function(e){return e.hierarchy.lvl1}))).map(f).map((function(e){return e.map((function(t){return _t(_t({},t),{},{__docsearch_parent:"lvl1"!==t.type&&e.find((function(e){return"lvl1"===e.type&&e.hierarchy.lvl1===t.hierarchy.lvl1}))})}))})).flat()}}}))})):E?[]:[{sourceId:"recentSearches",onSelect:function(e){var t=e.item,r=e.event;L(t),r.shiftKey||r.ctrlKey||r.metaKey||s()},getItemUrl:function(e){return e.item.url},getItems:function(){return H.getAll()}},{sourceId:"favoriteSearches",onSelect:function(e){var t=e.item,r=e.event;L(t),r.shiftKey||r.ctrlKey||r.metaKey||s()},getItemUrl:function(e){return e.item.url},getItems:function(){return M.getAll()}}]}})}),[o,i,_,s,H,M,L,T,c,v,f,E]),U=F.getEnvironmentProps,V=F.getRootProps,z=F.refresh;return function(e){var t=e.getEnvironmentProps,r=e.panelElement,n=e.formElement,o=e.inputElement;oe.a.useEffect((function(){if(r&&n&&o){var e=t({panelElement:r,formElement:n,inputElement:o}),a=e.onTouchStart,c=e.onTouchMove;return window.addEventListener("touchstart",a),window.addEventListener("touchmove",c),function(){window.removeEventListener("touchstart",a),window.removeEventListener("touchmove",c)}}}),[t,r,n,o])}({getEnvironmentProps:U,panelElement:k.current,formElement:N.current,inputElement:x.current}),function(e){var t=e.container;oe.a.useEffect((function(){if(t){var e=t.querySelectorAll("a[href]:not([disabled]), button:not([disabled]), input:not([disabled])"),r=e[0],n=e[e.length-1];return t.addEventListener("keydown",o),function(){t.removeEventListener("keydown",o)}}function o(e){"Tab"===e.key&&(e.shiftKey?document.activeElement===r&&(e.preventDefault(),n.focus()):document.activeElement===n&&(e.preventDefault(),r.focus()))}}),[t])}({container:C.current}),oe.a.useEffect((function(){return document.body.classList.add("DocSearch--active"),function(){var e,t;document.body.classList.remove("DocSearch--active"),null===(e=(t=window).scrollTo)||void 0===e||e.call(t,0,g)}}),[]),oe.a.useEffect((function(){window.matchMedia("(max-width: 750px)").matches&&(q.current=5)}),[]),oe.a.useEffect((function(){k.current&&(k.current.scrollTop=0)}),[I.query]),oe.a.useEffect((function(){T.length>0&&(z(),x.current&&x.current.focus())}),[T,z]),oe.a.useEffect((function(){function e(){if(A.current){var e=.01*window.innerHeight;A.current.style.setProperty("--docsearch-vh","".concat(e,"px"))}}return e(),window.addEventListener("resize",e),function(){window.removeEventListener("resize",e)}}),[]),oe.a.createElement("div",Rt({ref:C},V({"aria-expanded":!0}),{className:["DocSearch","DocSearch-Container","stalled"===I.status&&"DocSearch-Container--Stalled","error"===I.status&&"DocSearch-Container--Errored"].filter(Boolean).join(" "),onMouseDown:function(e){e.target===e.currentTarget&&s()}}),oe.a.createElement("div",{className:"DocSearch-Modal",ref:A},oe.a.createElement("header",{className:"DocSearch-SearchBar",ref:N},oe.a.createElement(ze,Rt({},F,{state:I,autoFocus:0===T.length,onClose:s,inputRef:x,isFromSelection:Boolean(T)&&T===R}))),oe.a.createElement("div",{className:"DocSearch-Dropdown",ref:k},oe.a.createElement(Le,Rt({},F,{indexName:o,state:I,hitComponent:p,resultsFooterComponent:d,disableUserPersonalization:E,recentSearches:H,favoriteSearches:M,onItemClick:function(e){L(e),s()},inputRef:x}))),oe.a.createElement("footer",{className:"DocSearch-Footer"},oe.a.createElement(ce,null))))}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/658d5b0f.a7ab6a1f.js b/docs/assets/js/658d5b0f.a7ab6a1f.js
new file mode 100644
index 0000000..c3927e3
--- /dev/null
+++ b/docs/assets/js/658d5b0f.a7ab6a1f.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[22],{140:function(e,a,t){"use strict";t.d(a,"a",(function(){return p})),t.d(a,"b",(function(){return m}));var r=t(0),o=t.n(r);function n(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function i(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);a&&(r=r.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,r)}return t}function s(e){for(var a=1;a<arguments.length;a++){var t=null!=arguments[a]?arguments[a]:{};a%2?i(Object(t),!0).forEach((function(a){n(e,a,t[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):i(Object(t)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(t,a))}))}return e}function c(e,a){if(null==e)return{};var t,r,o=function(e,a){if(null==e)return{};var t,r,o={},n=Object.keys(e);for(r=0;r<n.length;r++)t=n[r],a.indexOf(t)>=0||(o[t]=e[t]);return o}(e,a);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);for(r=0;r<n.length;r++)t=n[r],a.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(o[t]=e[t])}return o}var d=o.a.createContext({}),l=function(e){var a=o.a.useContext(d),t=a;return e&&(t="function"==typeof e?e(a):s(s({},a),e)),t},p=function(e){var a=l(e.components);return o.a.createElement(d.Provider,{value:a},e.children)},u={inlineCode:"code",wrapper:function(e){var a=e.children;return o.a.createElement(o.a.Fragment,{},a)}},b=o.a.forwardRef((function(e,a){var t=e.components,r=e.mdxType,n=e.originalType,i=e.parentName,d=c(e,["components","mdxType","originalType","parentName"]),p=l(t),b=r,m=p["".concat(i,".").concat(b)]||p[b]||u[b]||n;return t?o.a.createElement(m,s(s({ref:a},d),{},{components:t})):o.a.createElement(m,s({ref:a},d))}));function m(e,a){var t=arguments,r=a&&a.mdxType;if("string"==typeof e||r){var n=t.length,i=new Array(n);i[0]=b;var s={};for(var c in a)hasOwnProperty.call(a,c)&&(s[c]=a[c]);s.originalType=e,s.mdxType="string"==typeof e?e:r,i[1]=s;for(var d=2;d<n;d++)i[d]=t[d];return o.a.createElement.apply(null,i)}return o.a.createElement.apply(null,t)}b.displayName="MDXCreateElement"},141:function(e,a,t){"use strict";t.d(a,"b",(function(){return n})),t.d(a,"a",(function(){return i}));var r=t(16),o=t(142);function n(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(r.default)();return{withBaseUrl:(t,r)=>function(e,a,t,{forcePrependBaseUrl:r=!1,absolute:n=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(o.b)(t))return t;if(r)return a+t;const i=t.startsWith(a)?t:a+t.replace(/^\//,"");return n?e+i:i}(a,e,t,r)}}function i(e,a={}){const{withBaseUrl:t}=n();return t(e,a)}},142:function(e,a,t){"use strict";function r(e){return!0===/^(\w*:|\/\/)/.test(e)}function o(e){return void 0!==e&&!r(e)}t.d(a,"b",(function(){return r})),t.d(a,"a",(function(){return o}))},94:function(e,a,t){"use strict";t.r(a),t.d(a,"frontMatter",(function(){return s})),t.d(a,"metadata",(function(){return c})),t.d(a,"toc",(function(){return d})),t.d(a,"default",(function(){return p}));var r=t(3),o=t(7),n=(t(0),t(140)),i=t(141),s={id:"graphViewer",title:"Visualizador de Gr\xe1ficos",sidebar_label:"Visualizador de Gr\xe1ficos"},c={unversionedId:"graphViewer",id:"graphViewer",isDocsHomePage:!1,title:"Visualizador de Gr\xe1ficos",description:"Para exibi\xe7\xe3o dos resultados originados dos c\xe1lculos de estabilidade e varredura de frequ\xeancias, desenvolveu-se um visualizador de gr\xe1ficos, como mostra a figura abaixo:",source:"@site/docs/graphViewer.md",slug:"/graphViewer",permalink:"/PSP/docs/graphViewer",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/graphViewer.md",version:"current",sidebar_label:"Visualizador de Gr\xe1ficos",sidebar:"docs",previous:{title:"Relat\xf3rios Tabulares",permalink:"/PSP/docs/tabularReport"},next:{title:"Mapa de Tens\xe3o",permalink:"/PSP/docs/heatmap"}},d=[{value:"Cria\xe7\xe3o, manipula\xe7\xe3o e navega\xe7\xe3o de curvas",id:"cria\xe7\xe3o-manipula\xe7\xe3o-e-navega\xe7\xe3o-de-curvas",children:[]}],l={toc:d};function p(e){var a=e.components,t=Object(o.a)(e,["components"]);return Object(n.b)("wrapper",Object(r.a)({},l,t,{components:a,mdxType:"MDXLayout"}),Object(n.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(n.b)("p",null,"Para exibi\xe7\xe3o dos resultados originados dos c\xe1lculos de ",Object(n.b)("a",{parentName:"p",href:"stability"},"estabilidade")," e ",Object(n.b)("a",{parentName:"p",href:"harmonics"},"varredura de frequ\xeancias"),", desenvolveu-se um visualizador de gr\xe1ficos, como mostra a figura abaixo:"),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(i.a)("images/graphViewer.png"),alt:"Visualizador de gr\xe1ficos do PSP-UFU",title:"Visualizador de gr\xe1ficos do PSP-UFU"}))),Object(n.b)("h2",{id:"cria\xe7\xe3o-manipula\xe7\xe3o-e-navega\xe7\xe3o-de-curvas"},"Cria\xe7\xe3o, manipula\xe7\xe3o e navega\xe7\xe3o de curvas"),Object(n.b)("p",null,"Tal visualizador utiliza a biblioteca ",Object(n.b)("a",{parentName:"p",href:"https://wxmathplot.sourceforge.io/"},"wxMathPlot"),", e permite ao usu\xe1rio imprimir todas as curvas no tempo originadas dos resultados de ",Object(n.b)("a",{parentName:"p",href:"stability"},"estabilidade")," e ",Object(n.b)("a",{parentName:"p",href:"harmonics"},"varredura de frequ\xeancias"),", acessados em dados hier\xe1rquicos em forma de \xe1rvore, identificados pelo tipo e nome do elemento de pot\xeancia, al\xe9m do tipo de curva."),Object(n.b)("div",{className:"admonition admonition-info alert alert--info"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"As curvas podem ser plotadas com ",Object(n.b)("strong",{parentName:"p"},"clique duplo"),' sobre ela ou ao selecionar a caixa "Plotar" nas propriedades do tra\xe7o.'))),Object(n.b)("p",null,"Os gr\xe1ficos impressos podem ser caracterizados pela edi\xe7\xe3o de suas propriedades do tra\xe7o, ou seja, pode-se alterar a cor, espessura e tipo de tra\xe7o (seis tipos dispon\xedveis). Por padr\xe3o o eixo vertical \xe9 o tempo (em estabilidade) ou frequ\xeancia (varredura de frequ\xeancias), por\xe9m o usu\xe1rio pode alterar para qualquer curva dispon\xedvel."),Object(n.b)("p",null,"V\xe1rias propriedades gerais do gr\xe1fico podem ser editadas: t\xedtulo do gr\xe1fico, r\xf3tulos dos eixos x e y, margens e limites inferiores e superiores de ambos os eixos."),Object(n.b)("p",null,"O menu ",Object(n.b)("strong",{parentName:"p"},"Visualiza\xe7\xe3o")," permite a inser\xe7\xe3o de exibi\xe7\xe3o de legenda, linhas de grade e coordenadas do ponteiro do mouse (utilizada para destacar pontos na curva), al\xe9m da possibilidade de alternar o tema de impress\xe3o entre escuro e claro, facilitando a visualiza\xe7\xe3o ou exporta\xe7\xe3o do gr\xe1fico."),Object(n.b)("p",null,"No menu ",Object(n.b)("strong",{parentName:"p"},"Arquivo"),", pode-se salvar o gr\xe1fico na forma de imagem (",Object(n.b)("em",{parentName:"p"},".png"),", ",Object(n.b)("em",{parentName:"p"},".jpg")," ou ",Object(n.b)("em",{parentName:"p"},".bmp"),") ou envi\xe1-lo diretamente para a \xe1rea de transfer\xeancia. No mesmo menu tamb\xe9m \xe9 permitido a exporta\xe7\xe3o no formato ",Object(n.b)("em",{parentName:"p"},Object(n.b)("a",{parentName:"em",href:"https://en.wikipedia.org/wiki/Comma-separated_values"},"CSV (Comma-separated Values)")),", o qual poder\xe1 ser utilizado em outros visualizadores de gr\xe1ficos, como o Excel ou o ",Object(n.b)("a",{parentName:"p",href:"http://www.gnuplot.info/"},"gnuplot"),"."),Object(n.b)("p",null,"A \xe1rea de plotagem permite a navega\xe7\xe3o utilizando ferramentas de zoom, por \xe1rea de sele\xe7\xe3o e comandos de mouse, e arrasto das curvas impressas."),Object(n.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Ao clicar com o bot\xe3o direito sobre a \xe1rea de plotagem as op\xe7\xf5es de manipula\xe7\xe3o s\xe3o exibidas por meio de um menu de contexto."))),Object(n.b)("p",null,"Os seguintes ",Object(n.b)("strong",{parentName:"p"},"comandos de mouse")," s\xe3o utilizados para navega\xe7\xe3o das curvas:"),Object(n.b)("table",null,Object(n.b)("thead",{parentName:"table"},Object(n.b)("tr",{parentName:"thead"},Object(n.b)("th",{parentName:"tr",align:null},"Comando"),Object(n.b)("th",{parentName:"tr",align:null},"A\xe7\xe3o"))),Object(n.b)("tbody",{parentName:"table"},Object(n.b)("tr",{parentName:"tbody"},Object(n.b)("td",{parentName:"tr",align:null},"Bot\xe3o esquerdo pressionado + Selecionar \xe1rea"),Object(n.b)("td",{parentName:"tr",align:null},"Seleciona a \xe1rea de zoom")),Object(n.b)("tr",{parentName:"tbody"},Object(n.b)("td",{parentName:"tr",align:null},"Bot\xe3o direito pressionado + Mover mouse"),Object(n.b)("td",{parentName:"tr",align:null},"Arrasta a curva")),Object(n.b)("tr",{parentName:"tbody"},Object(n.b)("td",{parentName:"tr",align:null},"Roda do mouse"),Object(n.b)("td",{parentName:"tr",align:null},"Arrasto vertical")),Object(n.b)("tr",{parentName:"tbody"},Object(n.b)("td",{parentName:"tr",align:null},"Roda do mouse + Shift"),Object(n.b)("td",{parentName:"tr",align:null},"Arrasto horizontal")),Object(n.b)("tr",{parentName:"tbody"},Object(n.b)("td",{parentName:"tr",align:null},"Roda do mouse + Ctrl"),Object(n.b)("td",{parentName:"tr",align:null},"Mais/menos zoom")))))}p.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/66.89d8d473.js b/docs/assets/js/66.89d8d473.js
new file mode 100644
index 0000000..eccf1b5
--- /dev/null
+++ b/docs/assets/js/66.89d8d473.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[66],{225:function(n,i,o){"use strict";o.r(i);var r=o(63);for(var t in r)["default"].indexOf(t)<0&&function(n){o.d(i,n,(function(){return r[n]}))}(t)}}]);
\ No newline at end of file
diff --git a/docs/assets/js/67.74e35f3d.js b/docs/assets/js/67.74e35f3d.js
new file mode 100644
index 0000000..8ade72b
--- /dev/null
+++ b/docs/assets/js/67.74e35f3d.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[67],{170:function(e,t,a){"use strict";a.r(t);var n=a(0),o=a.n(n),l=a(152),r=a(149);t.default=function(){return o.a.createElement(l.a,{title:"Page Not Found"},o.a.createElement("main",{className:"container margin-vert--xl"},o.a.createElement("div",{className:"row"},o.a.createElement("div",{className:"col col--6 col--offset-3"},o.a.createElement("h1",{className:"hero__title"},o.a.createElement(r.a,{id:"theme.NotFound.title",description:"The title of the 404 page"},"Page Not Found")),o.a.createElement("p",null,o.a.createElement(r.a,{id:"theme.NotFound.p1",description:"The first paragraph of the 404 page"},"We could not find what you were looking for.")),o.a.createElement("p",null,o.a.createElement(r.a,{id:"theme.NotFound.p2",description:"The 2nd paragraph of the 404 page"},"Please contact the owner of the site that linked you to the original URL and let them know their link is broken."))))))}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/6875c492.4cbf3903.js b/docs/assets/js/6875c492.4cbf3903.js
new file mode 100644
index 0000000..4020d39
--- /dev/null
+++ b/docs/assets/js/6875c492.4cbf3903.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[23],{95:function(e,a,t){"use strict";t.r(a);var l=t(0),s=t.n(l),n=t(152),r=t(163),c=t(150),o=t(155),m=t(149),i=t(148);function g({tagName:e,count:a}){const t=function(){const{selectMessage:e}=Object(i.usePluralForm)();return a=>e(a,Object(m.b)({id:"theme.blog.post.plurals",description:'Pluralized label for "{count} posts". Use as much plural forms (separated by "|") as your language support (see https://www.unicode.org/cldr/cldr-aux/charts/34/supplemental/language_plural_rules.html)',message:"One post|{count} posts"},{count:a}))}();return s.a.createElement(m.a,{id:"theme.blog.tagTitle",description:"The title of the page for a blog tag",values:{nPosts:t(a),tagName:e}},'{nPosts} tagged with "{tagName}"')}a.default=function(e){const{metadata:a,items:t,sidebar:l}=e,{allTagsPath:i,name:u,count:p}=a;return s.a.createElement(n.a,{title:`Posts tagged "${u}"`,description:`Blog | Tagged "${u}"`,wrapperClassName:"blog-wrapper",searchMetadatas:{tag:"blog_tags_posts"}},s.a.createElement("div",{className:"container margin-vert--lg"},s.a.createElement("div",{className:"row"},s.a.createElement("div",{className:"col col--3"},s.a.createElement(o.a,{sidebar:l})),s.a.createElement("main",{className:"col col--7"},s.a.createElement("h1",null,s.a.createElement(g,{count:p,tagName:u})),s.a.createElement(c.a,{href:i},s.a.createElement(m.a,{id:"theme.tags.tagsPageLink",description:"The label of the link targeting the tag list page"},"View All Tags")),s.a.createElement("div",{className:"margin-vert--xl"},t.map((({content:e})=>s.a.createElement(r.a,{key:e.metadata.permalink,frontMatter:e.frontMatter,metadata:e.metadata,truncated:!0},s.a.createElement(e,null)))))))))}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/6a02ff99.76db6101.js b/docs/assets/js/6a02ff99.76db6101.js
new file mode 100644
index 0000000..075a5d7
--- /dev/null
+++ b/docs/assets/js/6a02ff99.76db6101.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[24],{140:function(e,a,t){"use strict";t.d(a,"a",(function(){return l})),t.d(a,"b",(function(){return d}));var n=t(0),s=t.n(n);function m(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function p(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);a&&(n=n.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,n)}return t}function r(e){for(var a=1;a<arguments.length;a++){var t=null!=arguments[a]?arguments[a]:{};a%2?p(Object(t),!0).forEach((function(a){m(e,a,t[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):p(Object(t)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(t,a))}))}return e}function c(e,a){if(null==e)return{};var t,n,s=function(e,a){if(null==e)return{};var t,n,s={},m=Object.keys(e);for(n=0;n<m.length;n++)t=m[n],a.indexOf(t)>=0||(s[t]=e[t]);return s}(e,a);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(e);for(n=0;n<m.length;n++)t=m[n],a.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(s[t]=e[t])}return s}var b=s.a.createContext({}),i=function(e){var a=s.a.useContext(b),t=a;return e&&(t="function"==typeof e?e(a):r(r({},a),e)),t},l=function(e){var a=i(e.components);return s.a.createElement(b.Provider,{value:a},e.children)},o={inlineCode:"code",wrapper:function(e){var a=e.children;return s.a.createElement(s.a.Fragment,{},a)}},N=s.a.forwardRef((function(e,a){var t=e.components,n=e.mdxType,m=e.originalType,p=e.parentName,b=c(e,["components","mdxType","originalType","parentName"]),l=i(t),N=n,d=l["".concat(p,".").concat(N)]||l[N]||o[N]||m;return t?s.a.createElement(d,r(r({ref:a},b),{},{components:t})):s.a.createElement(d,r({ref:a},b))}));function d(e,a){var t=arguments,n=a&&a.mdxType;if("string"==typeof e||n){var m=t.length,p=new Array(m);p[0]=N;var r={};for(var c in a)hasOwnProperty.call(a,c)&&(r[c]=a[c]);r.originalType=e,r.mdxType="string"==typeof e?e:n,p[1]=r;for(var b=2;b<m;b++)p[b]=t[b];return s.a.createElement.apply(null,p)}return s.a.createElement.apply(null,t)}N.displayName="MDXCreateElement"},141:function(e,a,t){"use strict";t.d(a,"b",(function(){return m})),t.d(a,"a",(function(){return p}));var n=t(16),s=t(142);function m(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(n.default)();return{withBaseUrl:(t,n)=>function(e,a,t,{forcePrependBaseUrl:n=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(s.b)(t))return t;if(n)return a+t;const p=t.startsWith(a)?t:a+t.replace(/^\//,"");return m?e+p:p}(a,e,t,n)}}function p(e,a={}){const{withBaseUrl:t}=m();return t(e,a)}},142:function(e,a,t){"use strict";function n(e){return!0===/^(\w*:|\/\/)/.test(e)}function s(e){return void 0!==e&&!n(e)}t.d(a,"b",(function(){return n})),t.d(a,"a",(function(){return s}))},97:function(e,a,t){"use strict";t.r(a),t.d(a,"frontMatter",(function(){return r})),t.d(a,"metadata",(function(){return c})),t.d(a,"toc",(function(){return b})),t.d(a,"default",(function(){return l}));var n=t(3),s=t(7),m=(t(0),t(140)),p=t(141),r={id:"exponential",title:"Exponencial",sidebar_label:"Exponencial"},c={unversionedId:"exponential",id:"exponential",isDocsHomePage:!1,title:"Exponencial",description:"A fun\xe7\xe3o exponencial dos elementos de controle realiza essa opera\xe7\xe3o com uma entrada real, obedecendo a express\xe3o:",source:"@site/docs/exponential.md",slug:"/exponential",permalink:"/PSP/docs/exponential",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/exponential.md",version:"current",sidebar_label:"Exponencial",sidebar:"docs",previous:{title:"Divisor",permalink:"/PSP/docs/divider"},next:{title:"Limitador absoluto",permalink:"/PSP/docs/limiter"}},b=[{value:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco Exponencial",id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-bloco-exponencial",children:[]}],i={toc:b};function l(e){var a=e.components,t=Object(s.a)(e,["components"]);return Object(m.b)("wrapper",Object(n.a)({},i,t,{components:a,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("p",null,"A fun\xe7\xe3o exponencial dos elementos de controle realiza essa opera\xe7\xe3o com uma entrada real, obedecendo a express\xe3o:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"A"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"e"),Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"B"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n"))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_n = \\bold{A} e^{\\bold{B} u_n}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8932769999999999em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"A")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"e"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8932769999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathbf mtight"},"B")),Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.16454285714285719em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.143em"}},Object(m.b)("span",{parentName:"span"}))))))))))))))))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"u_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e ",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\t\xe9 a entrada e a sa\xedda do bloco exponencial, respectivamente;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"A")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\bold{A}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68611em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"A"))))))," e ",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"B")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\bold{B}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68611em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"B")))))),"\ts\xe3o constantes definidas pelo usu\xe1rio.")),Object(m.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-bloco-exponencial"},"Formul\xe1rio de edi\xe7\xe3o de dados do bloco Exponencial"),Object(m.b)("p",null,"A figura abaixo apresenta o formul\xe1rio de edi\xe7\xe3o de dados do bloco exponencial."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/expForm.png"),alt:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco exponencial no PSP-UFU",title:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco exponencial no PSP-UFU"}))),Object(m.b)("p",null,"Esse bloco n\xe3o linear \xe9 definido pelas constantes A e B, inseridas pelo usu\xe1rio."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Tais blocos s\xe3o \xfateis na representa\xe7\xe3o de n\xe3o linearidades, como, por exemplo, modelagem da satura\xe7\xe3o de m\xe1quinas de corrente cont\xednuas presentes em alguns reguladores autom\xe1ticos de tens\xe3o."))))}l.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/7997999e.d5278255.js b/docs/assets/js/7997999e.d5278255.js
new file mode 100644
index 0000000..f7cbe3b
--- /dev/null
+++ b/docs/assets/js/7997999e.d5278255.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[25],{140:function(e,t,r){"use strict";r.d(t,"a",(function(){return b})),r.d(t,"b",(function(){return m}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function c(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?i(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):i(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function u(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):c(c({},t),e)),r},b=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},s={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},f=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,i=e.parentName,l=u(e,["components","mdxType","originalType","parentName"]),b=p(r),f=n,m=b["".concat(i,".").concat(f)]||b[f]||s[f]||o;return r?a.a.createElement(m,c(c({ref:t},l),{},{components:r})):a.a.createElement(m,c({ref:t},l))}));function m(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,i=new Array(o);i[0]=f;var c={};for(var u in t)hasOwnProperty.call(t,u)&&(c[u]=t[u]);c.originalType=e,c.mdxType="string"==typeof e?e:n,i[1]=c;for(var l=2;l<o;l++)i[l]=r[l];return a.a.createElement.apply(null,i)}return a.a.createElement.apply(null,r)}f.displayName="MDXCreateElement"},98:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return i})),r.d(t,"metadata",(function(){return c})),r.d(t,"toc",(function(){return u})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),i={title:"22019w44a-beta",author:"Thales",author_title:"PhD",author_url:"https://github.com/thales1330",author_image_url:"https://avatars0.githubusercontent.com/u/16141330?s=460&v=4",tags:["psp-ufu"]},c={permalink:"/PSP/blog/2019/11/01/2019w44a-beta",editUrl:"https://github.com/Thales1330/PSP/tree/master/docs/blog/2019-11-01-2019w44a-beta.md",source:"@site/blog/2019-11-01-2019w44a-beta.md",description:"- \u2714\ufe0f Minor changes to 32bit MSW version for compatibility;",date:"2019-11-01T00:00:00.000Z",formattedDate:"October 31, 2019",tags:[{label:"psp-ufu",permalink:"/PSP/blog/tags/psp-ufu"}],title:"22019w44a-beta",readingTime:.09,truncated:!1,prevItem:{title:"2020w24a-beta",permalink:"/PSP/blog/2020/06/13/2020w24a-beta"},nextItem:{title:"2019w42a-beta",permalink:"/PSP/blog/2019/10/13/2019w42a-beta"}},u=[],l={toc:u};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f Minor changes to 32bit MSW version for compatibility;"),Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f Travis CI (Continuous Integration) implemented (Linux).")))}p.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/7e081317.23b51147.js b/docs/assets/js/7e081317.23b51147.js
new file mode 100644
index 0000000..729647b
--- /dev/null
+++ b/docs/assets/js/7e081317.23b51147.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[26],{140:function(e,t,r){"use strict";r.d(t,"a",(function(){return u})),r.d(t,"b",(function(){return d}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function c(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?i(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):i(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function s(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):c(c({},t),e)),r},u=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},b={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},m=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,i=e.parentName,l=s(e,["components","mdxType","originalType","parentName"]),u=p(r),m=n,d=u["".concat(i,".").concat(m)]||u[m]||b[m]||o;return r?a.a.createElement(d,c(c({ref:t},l),{},{components:r})):a.a.createElement(d,c({ref:t},l))}));function d(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,i=new Array(o);i[0]=m;var c={};for(var s in t)hasOwnProperty.call(t,s)&&(c[s]=t[s]);c.originalType=e,c.mdxType="string"==typeof e?e:n,i[1]=c;for(var l=2;l<o;l++)i[l]=r[l];return a.a.createElement.apply(null,i)}return a.a.createElement.apply(null,r)}m.displayName="MDXCreateElement"},99:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return i})),r.d(t,"metadata",(function(){return c})),r.d(t,"toc",(function(){return s})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),i={id:"aboutPSP",slug:"/",title:"PSP-UFU",sidebar_label:"PSP-UFU"},c={unversionedId:"aboutPSP",id:"aboutPSP",isDocsHomePage:!1,title:"PSP-UFU",description:"Most of this user guide was written in Brazilian Portuguese. If you want to help me translate this guide, contact-me on GitHub or Twitter.",source:"@site/docs/aboutPSP.md",slug:"/",permalink:"/PSP/docs/",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/aboutPSP.md",version:"current",sidebar_label:"PSP-UFU",sidebar:"docs",next:{title:"Installation",permalink:"/PSP/docs/installation"}},s=[{value:"About PSP-UFU",id:"about-psp-ufu",children:[{value:"Papers",id:"papers",children:[]},{value:"Contributing to the project",id:"contributing-to-the-project",children:[]},{value:"Developer<del>s</del>",id:"developers",children:[]}]}],l={toc:s};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("div",{className:"admonition admonition-important alert alert--info"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"important")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"Most of this user guide was written in Brazilian Portuguese. If you want to help me translate this guide, contact-me on ",Object(o.b)("a",{parentName:"p",href:"https://github.com/Thales1330/PSP/issues"},"GitHub")," or ",Object(o.b)("a",{parentName:"p",href:"https://twitter.com/PspUfu"},"Twitter"),"."))),Object(o.b)("h2",{id:"about-psp-ufu"},"About PSP-UFU"),Object(o.b)("p",null,"PSP-UFU (Power Systems Platform of Federal University of Uberl\xe2ndia) is a ",Object(o.b)("strong",{parentName:"p"},"multi-platform"),", ",Object(o.b)("strong",{parentName:"p"},"multilingual"),", ",Object(o.b)("strong",{parentName:"p"},"free and open source (FOSS)")," software with ",Object(o.b)("strong",{parentName:"p"},"advanced GUI (Graphical User Interface) features")," and ",Object(o.b)("strong",{parentName:"p"},"CAD (Computer Aided Design) tools")," for studies of electrical power systems."),Object(o.b)("p",null,"The software allows the construction of any electrical transmission network and control systems through the deployment of visual elements. For viewing the results, the program offers ",Object(o.b)("strong",{parentName:"p"},"linked text elements")," on the main screen and also ",Object(o.b)("strong",{parentName:"p"},"table and graph editors"),"."),Object(o.b)("p",null,"The PSP-UFU aims to provide efficient simulation tools for ",Object(o.b)("strong",{parentName:"p"},"research")," and ",Object(o.b)("strong",{parentName:"p"},"education")," purposes, in addition to ",Object(o.b)("strong",{parentName:"p"},"industrial applications")," in electrical power systems."),Object(o.b)("p",null,"Briefly, software can perform the following studies:"),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"Power flow"),Object(o.b)("li",{parentName:"ul"},"Short circuit calculation"),Object(o.b)("li",{parentName:"ul"},"Harmonics"),Object(o.b)("li",{parentName:"ul"},"Transient and dynamic stability")),Object(o.b)("h3",{id:"papers"},"Papers"),Object(o.b)("p",null,"The articles below have more details about the PSP-UFU:"),Object(o.b)("blockquote",null,Object(o.b)("p",{parentName:"blockquote"},"Oliveira, T. L., Guimar\xe3es, G. C., & Silva, L. R. C. (2019). PSP-UFU: An open-source, graphical, and multiplatform software for power system studies. ",Object(o.b)("em",{parentName:"p"},"International Transactions on Electrical Energy Systems"),", e12185. doi: ",Object(o.b)("a",{parentName:"p",href:"https://doi.org/10.1002/2050-7038.12185"},"10.1002/2050-7038.12185"))),Object(o.b)("blockquote",null,Object(o.b)("p",{parentName:"blockquote"},"Oliveira, T. L., Guimar\xe3es, G. C., Silva, L. R., & Rezende, J. O. (2019). Power system education and research applications using free and open-source, graphical and multiplatform PSP-UFU software. ",Object(o.b)("em",{parentName:"p"},"The International Journal of Electrical Engineering & Education"),", 0020720919879058. doi: ",Object(o.b)("a",{parentName:"p",href:"https://doi.org/10.1177/0020720919879058"},"10.1177/0020720919879058"))),Object(o.b)("p",null,"The PhD. Thesis below details in depth the calculations involved, software architecture and tools implemented in the PSP-UFU:"),Object(o.b)("blockquote",null,Object(o.b)("p",{parentName:"blockquote"},"Oliveira, T. L. (2019). Desenvolvimento de um programa computacional livre, gr\xe1fico, e multiplataforma para analisar sistemas el\xe9tricos de pot\xeancia em regime permanente e din\xe2mico. doi: ",Object(o.b)("a",{parentName:"p",href:"https://dx.doi.org/10.14393/ufu.te.2019.2444"},"10.14393/ufu.te.2019.2444"))),Object(o.b)("h3",{id:"contributing-to-the-project"},"Contributing to the project"),Object(o.b)("p",null,"If you are interested in contributing to PSP-UFU in any way (development, criticism, suggestions, etc.), contact us at ",Object(o.b)("a",{parentName:"p",href:"https://github.com/Thales1330/PSP/issues"},"GitHub")," or ",Object(o.b)("a",{parentName:"p",href:"https://twitter.com/PspUfu"},"Twitter"),"."),Object(o.b)("h3",{id:"developers"},"Developer",Object(o.b)("del",{parentName:"h3"},"s")),Object(o.b)("p",null,Object(o.b)("a",{parentName:"p",href:"https://github.com/Thales1330"},"Thales Lima Oliveira")))}p.isMDXComponent=!0}}]);
\ No newline at end of file
diff --git a/docs/assets/js/86b8f0ff.840f4c5e.js b/docs/assets/js/86b8f0ff.840f4c5e.js
new file mode 100644
index 0000000..ddb85ab
--- /dev/null
+++ b/docs/assets/js/86b8f0ff.840f4c5e.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[27],{100:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return r})),t.d(e,"metadata",(function(){return b})),t.d(e,"toc",(function(){return c})),t.d(e,"default",(function(){return i}));var s=t(3),n=t(7),m=(t(0),t(140)),p=t(141),r={id:"limiter",title:"Limitador absoluto",sidebar_label:"Limitador absoluto"},b={unversionedId:"limiter",id:"limiter",isDocsHomePage:!1,title:"Limitador absoluto",description:"Os blocos de limite absoluto cumprem a fun\xe7\xe3o de restringir os valores de entrada de acordo com os limites m\xe1ximos e m\xednimos inseridos pelo usu\xe1rio. Caso a entrada ultrapasse algum dos limites impostos, a sa\xedda ser\xe1 igual a esse valor limite at\xe9 que a entrada retorne para a faixa permitida.",source:"@site/docs/limiter.md",slug:"/limiter",permalink:"/PSP/docs/limiter",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/limiter.md",version:"current",sidebar_label:"Limitador absoluto",sidebar:"docs",previous:{title:"Exponencial",permalink:"/PSP/docs/exponential"},next:{title:"Limitador de taxa",permalink:"/PSP/docs/rateLimiter"}},c=[{value:"Formul\xe1rio de edi\xe7\xe3o do bloco Limitador",id:"formul\xe1rio-de-edi\xe7\xe3o-do-bloco-limitador",children:[]}],l={toc:c};function i(a){var e=a.components,t=Object(n.a)(a,["components"]);return Object(m.b)("wrapper",Object(s.a)({},l,t,{components:e,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("p",null,"Os blocos de limite absoluto cumprem a fun\xe7\xe3o de restringir os valores de entrada de acordo com os limites m\xe1ximos e m\xednimos inseridos pelo usu\xe1rio. Caso a entrada ultrapasse algum dos limites impostos, a sa\xedda ser\xe1 igual a esse valor limite at\xe9 que a entrada retorne para a faixa permitida."),Object(m.b)("p",null,"As restri\xe7\xf5es m\xe1ximas e m\xednimas de valores dos sistemas de controle s\xe3o modeladas utilizando um Limitador, cuja implementa\xe7\xe3o \xe9 bastante simples e segue a seguinte express\xe3o:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"L"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"s"),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow"},"p"))),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},",")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"se\xa0"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow"},">"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"L"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"s"),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow"},"p"))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},",")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"se\xa0"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"L"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mi",{parentName:"mrow"},"f"))),Object(m.b)("mo",{parentName:"mrow"},"\u2264"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow"},"\u2264"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"L"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"s"),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow"},"p"))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"L"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mi",{parentName:"mrow"},"f"))),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},",")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"se\xa0"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow"},"<"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"L"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mi",{parentName:"mrow"},"f")))))))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_n = \\begin{cases} L_{sup}{,} & \\text{se } u_n > L_{sup} \\\\ u_n{,} & \\text{se } L_{inf} \\le u_n \\le L_{sup}\\\\ L_{inf}{,} & \\text{se } u_n < L_{inf} \\end{cases}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"4.32em",verticalAlign:"-1.9099999999999997em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.35002em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.19999em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a9"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.19499em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.20499em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.15001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a8"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.2950099999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.30501em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.60002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a7")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.8500199999999998em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-l"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.41em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.41em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"L"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"u"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")))),Object(m.b)("span",{parentName:"span",style:{top:"-2.97em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")))),Object(m.b)("span",{parentName:"span",style:{top:"-1.5300000000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"L"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},","))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.9099999999999997em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"1em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-l"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.41em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.41em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"se\xa0")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},">"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"L"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"u"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.97em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"se\xa0")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"L"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2264"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2264"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"L"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"u"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-1.5300000000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"se\xa0")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"<"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"L"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.9099999999999997em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\t\xc9\xe9 o valor de sa\xedda atual do bloco"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"L"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"s"),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow"},"p")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"L_{sup}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"L"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"u"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e ",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"L"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mi",{parentName:"mrow"},"f")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"L_{inf}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"L"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\ts\xe3o os limites superior e inferior, respectivamente"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"u_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\t\xe9 o valor de entrada atual do bloco")),Object(m.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-do-bloco-limitador"},"Formul\xe1rio de edi\xe7\xe3o do bloco Limitador"),Object(m.b)("p",null,"A figura abaixo apresenta o formul\xe1rio de edi\xe7\xe3o de dados do bloco limitador."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/limiterForm.png"),alt:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco limitador no PSP-UFU",title:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco limitador no PSP-UFU"}))),Object(m.b)("p",null,"Esse bloco n\xe3o linear \xe9 definido pelo ",Object(m.b)("strong",{parentName:"p"},"limite superior e inferior"),", inseridos pelo usu\xe1rio."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Tais blocos s\xe3o bastante encontrados nos sistemas de controle para limitar a atua\xe7\xe3o do controlador, al\xe9m de representar limites f\xedsicos de modelos implementados, como, por exemplo, valores m\xe1ximos de corrente de excita\xe7\xe3o ou pot\xeancia mec\xe2nica fornecida pelas turbinas."))))}i.isMDXComponent=!0},140:function(a,e,t){"use strict";t.d(e,"a",(function(){return i})),t.d(e,"b",(function(){return O}));var s=t(0),n=t.n(s);function m(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function p(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(a);e&&(s=s.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,s)}return t}function r(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?p(Object(t),!0).forEach((function(e){m(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):p(Object(t)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(t,e))}))}return a}function b(a,e){if(null==a)return{};var t,s,n=function(a,e){if(null==a)return{};var t,s,n={},m=Object.keys(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||(n[t]=a[t]);return n}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(n[t]=a[t])}return n}var c=n.a.createContext({}),l=function(a){var e=n.a.useContext(c),t=e;return a&&(t="function"==typeof a?a(e):r(r({},e),a)),t},i=function(a){var e=l(a.components);return n.a.createElement(c.Provider,{value:e},a.children)},N={inlineCode:"code",wrapper:function(a){var e=a.children;return n.a.createElement(n.a.Fragment,{},e)}},o=n.a.forwardRef((function(a,e){var t=a.components,s=a.mdxType,m=a.originalType,p=a.parentName,c=b(a,["components","mdxType","originalType","parentName"]),i=l(t),o=s,O=i["".concat(p,".").concat(o)]||i[o]||N[o]||m;return t?n.a.createElement(O,r(r({ref:e},c),{},{components:t})):n.a.createElement(O,r({ref:e},c))}));function O(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var m=t.length,p=new Array(m);p[0]=o;var r={};for(var b in e)hasOwnProperty.call(e,b)&&(r[b]=e[b]);r.originalType=a,r.mdxType="string"==typeof a?a:s,p[1]=r;for(var c=2;c<m;c++)p[c]=t[c];return n.a.createElement.apply(null,p)}return n.a.createElement.apply(null,t)}o.displayName="MDXCreateElement"},141:function(a,e,t){"use strict";t.d(e,"b",(function(){return m})),t.d(e,"a",(function(){return p}));var s=t(16),n=t(142);function m(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(s.default)();return{withBaseUrl:(t,s)=>function(a,e,t,{forcePrependBaseUrl:s=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(s)return e+t;const p=t.startsWith(e)?t:e+t.replace(/^\//,"");return m?a+p:p}(e,a,t,s)}}function p(a,e={}){const{withBaseUrl:t}=m();return t(a,e)}},142:function(a,e,t){"use strict";function s(a){return!0===/^(\w*:|\/\/)/.test(a)}function n(a){return void 0!==a&&!s(a)}t.d(e,"b",(function(){return s})),t.d(e,"a",(function(){return n}))}}]);
\ No newline at end of file
diff --git a/docs/assets/js/8773f011.f19d85a5.js b/docs/assets/js/8773f011.f19d85a5.js
new file mode 100644
index 0000000..9dba5ac
--- /dev/null
+++ b/docs/assets/js/8773f011.f19d85a5.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[28],{101:function(a,e,s){"use strict";s.r(e),s.d(e,"frontMatter",(function(){return b})),s.d(e,"metadata",(function(){return r})),s.d(e,"toc",(function(){return c})),s.d(e,"default",(function(){return N}));var t=s(3),n=s(7),m=(s(0),s(140)),p=s(141),b={id:"transferFunction",title:"Fun\xe7\xe3o Transfer\xeancia",sidebar_label:"Fun\xe7\xe3o Transfer\xeancia"},r={unversionedId:"transferFunction",id:"transferFunction",isDocsHomePage:!1,title:"Fun\xe7\xe3o Transfer\xeancia",description:"A Fun\xe7\xe3o Transfer\xeancia \xe9 um importante bloco elementar e essencial em um sistema de controle, visto que esse componente possibilita a representa\xe7\xe3o de sistemas din\xe2micos por meio de equa\xe7\xf5es alg\xe9bricas no dom\xednio da frequ\xeancia.",source:"@site/docs/transferFunction.md",slug:"/transferFunction",permalink:"/PSP/docs/transferFunction",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/transferFunction.md",version:"current",sidebar_label:"Fun\xe7\xe3o Transfer\xeancia",sidebar:"docs",previous:{title:"Entrada / Sa\xedda",permalink:"/PSP/docs/io"},next:{title:"Somador",permalink:"/PSP/docs/sum"}},c=[{value:"Fun\xe7\xe3o Transfer\xeancia no PSP-UFU",id:"fun\xe7\xe3o-transfer\xeancia-no-psp-ufu",children:[]},{value:"Formul\xe1rio de edi\xe7\xe3o de dados da Fun\xe7\xe3o Transfer\xeancia",id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-da-fun\xe7\xe3o-transfer\xeancia",children:[]},{value:"Refer\xeancias",id:"refer\xeancias",children:[]}],l={toc:c};function N(a){var e=a.components,s=Object(n.a)(a,["components"]);return Object(m.b)("wrapper",Object(t.a)({},l,s,{components:e,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("p",null,"A Fun\xe7\xe3o Transfer\xeancia \xe9 um importante bloco elementar e essencial em um sistema de controle, visto que esse componente possibilita a representa\xe7\xe3o de sistemas din\xe2micos por meio de equa\xe7\xf5es alg\xe9bricas no dom\xednio da frequ\xeancia."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Nesses blocos \xe9 utilizado a letra \u201c",Object(m.b)("strong",{parentName:"p"},"s"),"\u201d para representa\xe7\xe3o no dom\xednio da frequ\xeancia, pois essa \xe9 a terminologia mais utilizada em sistemas de controle."))),Object(m.b)("h2",{id:"fun\xe7\xe3o-transfer\xeancia-no-psp-ufu"},"Fun\xe7\xe3o Transfer\xeancia no PSP-UFU"),Object(m.b)("p",null,"Ap\xf3s a inser\xe7\xe3o da fun\xe7\xe3o transfer\xeancia, o programa a transforma na representa\xe7\xe3o em espa\xe7o de estado, visto que sua solu\xe7\xe3o \xe9 sistem\xe1tica tornando-a, assim, mais eficiente computacionalmente."),Object(m.b)("p",null,"Dada uma fun\xe7\xe3o transfer\xeancia gen\xe9rica abaixo:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"mrow"},"Y"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"s"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")")),Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"mrow"},"U"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"s"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mn",{parentName:"msub"},"0")),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup",mathvariant:"bold"},"s"),Object(m.b)("mi",{parentName:"msup"},"k")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mn",{parentName:"msub"},"1")),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup",mathvariant:"bold"},"s"),Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mo",{parentName:"mrow"},"\u22ef"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"s"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mi",{parentName:"msub"},"k"))),Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup",mathvariant:"bold"},"s"),Object(m.b)("mi",{parentName:"msup"},"k")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"a"),Object(m.b)("mn",{parentName:"msub"},"1")),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup",mathvariant:"bold"},"s"),Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mo",{parentName:"mrow"},"\u22ef"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"a"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"s"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"a"),Object(m.b)("mi",{parentName:"msub"},"k"))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\frac{Y(\\bold{s})}{U(\\bold{s})} = \\frac{b_0 \\bold{s}^k + b_1 \\bold{s}^{k-1} + \\cdots + b_{k-1} \\bold{s} + b_k}{\\bold{s}^k + a_1 \\bold{s}^{k-1} + \\cdots + a_{k-1} \\bold{s} + a_k}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.363em",verticalAlign:"-0.936em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.427em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10903em"}},"U"),Object(m.b)("span",{parentName:"span",className:"mopen"},"("),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"mclose"},")"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"mopen"},"("),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"mclose"},")")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.936em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.420439em",verticalAlign:"-0.894331em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.526108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3139999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7751079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.9890000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k")))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7751079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.989em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},"\u22ef"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k")))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8491079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},"\u22ef"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.894331em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("p",null,"A transforma\xe7\xe3o em espa\xe7o de estado na ",Object(m.b)("em",{parentName:"p"},"forma can\xf4nica control\xe1vel")," ficar\xe1 da seguinte forma:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"s"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mn",{parentName:"msub"},"1")))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"s"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mn",{parentName:"msub"},"2")))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mi",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(m.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(m.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"s"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1"))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"s"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"k"))))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"1"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u22ef"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0")))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"1"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u22ef"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0")))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mi",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(m.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(m.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"}))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mi",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(m.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(m.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"}))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mi",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(m.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(m.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"}))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u22f1"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mi",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(m.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(m.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u22ef"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"1")))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"a"),Object(m.b)("mi",{parentName:"msub"},"k"))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"a"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1")))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"a"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"2")))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u22ef"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"a"),Object(m.b)("mn",{parentName:"msub"},"1"))))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mn",{parentName:"msub"},"1"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mn",{parentName:"msub"},"2"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mi",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(m.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(m.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"k"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1")))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"k")))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0")))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0")))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mi",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(m.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(m.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0")))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"1"))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"a"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mn",{parentName:"msub"},"0")),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"a"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mn",{parentName:"msub"},"0")),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mo",{parentName:"mstyle",lspace:"0em",rspace:"0em"},"\u22ef"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mn",{parentName:"msub"},"1")),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"a"),Object(m.b)("mn",{parentName:"msub"},"1")),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mn",{parentName:"msub"},"0")),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mn",{parentName:"msub"},"1"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mn",{parentName:"msub"},"2"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mi",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"mi",mathvariant:"normal"},"\u22ee"),Object(m.b)("mpadded",{parentName:"mi",height:"+0em",voffset:"0em"},Object(m.b)("mspace",{parentName:"mpadded",mathbackground:"black",width:"0em",height:"1.5em"})))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"k")))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"b"),Object(m.b)("mn",{parentName:"msub"},"0")),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"u"),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{bmatrix} \\bold{s}x_1\\\\ \\bold{s}x_2\\\\ \\vdots\\\\ \\bold{s}x_{k-1}\\\\ \\bold{s}x_k \\end{bmatrix} = \\begin{bmatrix} 0 & 1 & 0 & \\cdots & 0\\\\ 0 & 0 & 1 & \\cdots & 0\\\\ \\vdots & \\vdots & \\vdots & \\ddots & \\vdots\\\\ 0 & 0 & 0 & \\cdots & 1\\\\ -a_k & -a_{k-1} & -a_{k-2} & \\cdots & -a_1 \\end{bmatrix} \\begin{bmatrix} x_1\\\\ x_2\\\\ \\vdots\\\\ x_{k-1}\\\\ x_k \\end{bmatrix} + \\begin{bmatrix} 0\\\\ 0\\\\ \\vdots\\\\ 0\\\\ 1 \\end{bmatrix} u_n\\\\ y_n = \\begin{bmatrix} \\left( b_n - a_n b_0 \\right) & \\left( b_{n-1} - a_{n-1} b_0 \\right) & \\cdots & \\left( b_1 - a_1 b_0 \\right) \\end{bmatrix} \\begin{bmatrix} x_1\\\\ x_2\\\\ \\vdots\\\\ x_k \\end{bmatrix} + b_0 u_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"6.66em",verticalAlign:"-3.079999999999999em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.555985em"}},Object(m.b)("span",{parentName:"span",style:{top:"-0.7499750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a3"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8999750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.4959750000000005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0919750000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.6879750000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.283975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.314965000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.555985000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.050045em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.5800000000000005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-6.427500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-5.2275em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.3675em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(m.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.167500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-0.9675000000000009em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"s")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.079999999999999em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.555985em"}},Object(m.b)("span",{parentName:"span",style:{top:"-0.7499750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a6"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8999750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.4959750000000005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0919750000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.6879750000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.283975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.314965000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.555985000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a4")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.050045em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"6.66em",verticalAlign:"-3.079999999999999em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.555985em"}},Object(m.b)("span",{parentName:"span",style:{top:"-0.7499750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a3"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8999750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.4959750000000005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0919750000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.6879750000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.283975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.314965000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.555985000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.050045em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.5800000000000005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-6.427500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.2275em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.3675em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(m.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.167500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-0.9675000000000009em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.079999999999999em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.5800000000000005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-6.427500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.2275em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.3675em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(m.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.167500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-0.9675000000000009em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.079999999999999em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.5800000000000005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-6.427500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.2275em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.3675em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(m.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.167500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-0.9675000000000009em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.079999999999999em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.5800000000000005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-6.240000000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"minner"},"\u22ef"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.04em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"minner"},"\u22ef"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.18em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"minner"},"\u22f1"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.9800000000000009em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"minner"},"\u22ef"))),Object(m.b)("span",{parentName:"span",style:{top:"-0.7800000000000009em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.5em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"minner"},"\u22ef")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.079999999999999em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.5800000000000005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-6.427500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.2275em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.3675em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(m.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.167500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1"))),Object(m.b)("span",{parentName:"span",style:{top:"-0.9675000000000009em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.079999999999999em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.555985em"}},Object(m.b)("span",{parentName:"span",style:{top:"-0.7499750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a6"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8999750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.4959750000000005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0919750000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.6879750000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.283975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.314965000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.555985000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a4")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.050045em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.555985em"}},Object(m.b)("span",{parentName:"span",style:{top:"-0.7499750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a3"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8999750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.4959750000000005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0919750000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.6879750000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.283975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.314965000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.555985000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.050045em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.5800000000000005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-6.427500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-5.2275em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.3675em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(m.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.167500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-0.9675000000000009em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.079999999999999em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.555985em"}},Object(m.b)("span",{parentName:"span",style:{top:"-0.7499750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a6"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8999750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.4959750000000005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0919750000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.6879750000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.283975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.314965000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.555985000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a4")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.050045em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"6.66em",verticalAlign:"-3.079999999999999em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.555985em"}},Object(m.b)("span",{parentName:"span",style:{top:"-0.7499750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a3"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8999750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.4959750000000005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0919750000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.6879750000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.283975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.314965000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.555985000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.050045em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.5800000000000005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-6.427500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.2275em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.3675em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(m.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.167500000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-0.9675000000000009em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.079999999999999em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.555985em"}},Object(m.b)("span",{parentName:"span",style:{top:"-0.7499750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a6"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8999750000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.4959750000000005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0919750000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.6879750000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.283975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.314965000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-5.555985000000001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a4")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.050045em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mspace newline"}),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"5.459999999999999em",verticalAlign:"-2.4799999999999995em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size1"},"[")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8500000000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.01em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.35000000000000003em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8500000000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.01em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.35000000000000003em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8500000000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.01em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"minner"},"\u22ef")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.35000000000000003em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8500000000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.01em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.35000000000000003em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size1"},"]"))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.953995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-1.3499850000000007em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a3"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.4999850000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0959850000000007em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.6919850000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.712975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.953995em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.4500349999999997em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.9799999999999995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-5.8275em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-4.6275em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.7674999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u22ee"),Object(m.b)("span",{parentName:"span",className:"mord rule",style:{borderRightWidth:"0em",borderTopWidth:"1.5em",bottom:"0em"}})))),Object(m.b)("span",{parentName:"span",style:{top:"-1.5675000000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.6875em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03148em"}},"k")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.4799999999999995em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.953995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-1.3499850000000007em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a6"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.4999850000000006em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0959850000000007em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.6919850000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.712975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.953995em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a4")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.4500349999999997em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.84444em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))),Object(m.b)("p",null,"A equa\xe7\xe3o diferencial matricial \xe9 resolvida pelo m\xe9todo ",Object(m.b)("strong",{parentName:"p"},"Trapezoidal Impl\xedcito"),". Um processo iterativo \xe9 realizado at\xe9 que o erro entre os c\xe1lculos se torne menor que uma toler\xe2ncia pr\xe9-estipulada e caso as itera\xe7\xf5es se tornem excessivas, ultrapassando um n\xfamero m\xe1ximo definido pelo usu\xe1rio, o processo \xe9 interrompido com erro. Com os valores do vetor de estado (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"x")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"))))),") calculados obt\xe9m-se o valor da sa\xedda do bloco (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),")."),Object(m.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-da-fun\xe7\xe3o-transfer\xeancia"},"Formul\xe1rio de edi\xe7\xe3o de dados da Fun\xe7\xe3o Transfer\xeancia"),Object(m.b)("p",null,"A figura abaixo apresenta o formul\xe1rio de edi\xe7\xe3o de dados da fun\xe7\xe3o transfer\xeancia."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/transferFunctionForm.png"),alt:"Formul\xe1rio de edi\xe7\xe3o de dados da fun\xe7\xe3o transfer\xeancia no PSP-UFU",title:"Formul\xe1rio de edi\xe7\xe3o de dados da fun\xe7\xe3o transfer\xeancia no PSP-UFU"}))),Object(m.b)("p",null,"A fun\xe7\xe3o transfer\xeancia \xe9 definida pelos coeficientes do numerador e denominador, ",Object(m.b)("strong",{parentName:"p"},"separados por espa\xe7o"),"."),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Os elementos n\xe3o presentes s\xe3o representados como coeficientes de valor zero."),Object(m.b)("p",{parentName:"div"},"Por exemplo, um par\xe2metro inserido igual a \u201c",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mtable",{parentName:"semantics",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"1"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"5")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"0"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"2"))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{matrix} 1 & 0{,}5 & 0 & 2 \\end{matrix}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.2000000000000002em",verticalAlign:"-0.35000000000000003em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8500000000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.01em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.35000000000000003em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8500000000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.01em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"5")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.35000000000000003em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8500000000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.01em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.35000000000000003em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8500000000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.01em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"2")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.35000000000000003em"}},Object(m.b)("span",{parentName:"span"}))))))))))),"\u201d ir\xe1 gerar: \u201c",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"s"),Object(m.b)("mn",{parentName:"msup"},"3")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"5"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"s"),Object(m.b)("mn",{parentName:"msup"},"2")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"2")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"s^3+0{,}5s^2+2")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.897438em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"3")))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.008548em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"5"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"s"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"2"))))),"\u201d."))),Object(m.b)("h2",{id:"refer\xeancias"},"Refer\xeancias"),Object(m.b)("ol",null,Object(m.b)("li",{parentName:"ol"},"OGATA, K. Modern Control Engineering. Prentice Hall Inc., New Jersey, 2004.")))}N.isMDXComponent=!0},140:function(a,e,s){"use strict";s.d(e,"a",(function(){return N})),s.d(e,"b",(function(){return j}));var t=s(0),n=s.n(t);function m(a,e,s){return e in a?Object.defineProperty(a,e,{value:s,enumerable:!0,configurable:!0,writable:!0}):a[e]=s,a}function p(a,e){var s=Object.keys(a);if(Object.getOwnPropertySymbols){var t=Object.getOwnPropertySymbols(a);e&&(t=t.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),s.push.apply(s,t)}return s}function b(a){for(var e=1;e<arguments.length;e++){var s=null!=arguments[e]?arguments[e]:{};e%2?p(Object(s),!0).forEach((function(e){m(a,e,s[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(s)):p(Object(s)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(s,e))}))}return a}function r(a,e){if(null==a)return{};var s,t,n=function(a,e){if(null==a)return{};var s,t,n={},m=Object.keys(a);for(t=0;t<m.length;t++)s=m[t],e.indexOf(s)>=0||(n[s]=a[s]);return n}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(t=0;t<m.length;t++)s=m[t],e.indexOf(s)>=0||Object.prototype.propertyIsEnumerable.call(a,s)&&(n[s]=a[s])}return n}var c=n.a.createContext({}),l=function(a){var e=n.a.useContext(c),s=e;return a&&(s="function"==typeof a?a(e):b(b({},e),a)),s},N=function(a){var e=l(a.components);return n.a.createElement(c.Provider,{value:e},a.children)},i={inlineCode:"code",wrapper:function(a){var e=a.children;return n.a.createElement(n.a.Fragment,{},e)}},O=n.a.forwardRef((function(a,e){var s=a.components,t=a.mdxType,m=a.originalType,p=a.parentName,c=r(a,["components","mdxType","originalType","parentName"]),N=l(s),O=t,j=N["".concat(p,".").concat(O)]||N[O]||i[O]||m;return s?n.a.createElement(j,b(b({ref:e},c),{},{components:s})):n.a.createElement(j,b({ref:e},c))}));function j(a,e){var s=arguments,t=e&&e.mdxType;if("string"==typeof a||t){var m=s.length,p=new Array(m);p[0]=O;var b={};for(var r in e)hasOwnProperty.call(e,r)&&(b[r]=e[r]);b.originalType=a,b.mdxType="string"==typeof a?a:t,p[1]=b;for(var c=2;c<m;c++)p[c]=s[c];return n.a.createElement.apply(null,p)}return n.a.createElement.apply(null,s)}O.displayName="MDXCreateElement"},141:function(a,e,s){"use strict";s.d(e,"b",(function(){return m})),s.d(e,"a",(function(){return p}));var t=s(16),n=s(142);function m(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(t.default)();return{withBaseUrl:(s,t)=>function(a,e,s,{forcePrependBaseUrl:t=!1,absolute:m=!1}={}){if(!s)return s;if(s.startsWith("#"))return s;if(Object(n.b)(s))return s;if(t)return e+s;const p=s.startsWith(e)?s:e+s.replace(/^\//,"");return m?a+p:p}(e,a,s,t)}}function p(a,e={}){const{withBaseUrl:s}=m();return s(a,e)}},142:function(a,e,s){"use strict";function t(a){return!0===/^(\w*:|\/\/)/.test(a)}function n(a){return void 0!==a&&!t(a)}s.d(e,"b",(function(){return t})),s.d(e,"a",(function(){return n}))}}]);
\ No newline at end of file
diff --git a/docs/assets/js/88afc5eb.225f0330.js b/docs/assets/js/88afc5eb.225f0330.js
new file mode 100644
index 0000000..51f8201
--- /dev/null
+++ b/docs/assets/js/88afc5eb.225f0330.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[29],{102:function(e,o,a){"use strict";a.r(o),a.d(o,"frontMatter",(function(){return c})),a.d(o,"metadata",(function(){return i})),a.d(o,"Highlight",(function(){return d})),a.d(o,"toc",(function(){return l})),a.d(o,"default",(function(){return m}));var r=a(3),t=a(7),n=(a(0),a(140)),s=a(141),c={id:"cadTools",title:"Ferramentas CAD",sidebar_label:"Ferramentas CAD"},i={unversionedId:"cadTools",id:"cadTools",isDocsHomePage:!1,title:"Ferramentas CAD",description:"backgroundColor: color,",source:"@site/docs/cadTools.md",slug:"/cadTools",permalink:"/PSP/docs/cadTools",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/cadTools.md",version:"current",sidebar_label:"Ferramentas CAD",sidebar:"docs",previous:{title:"Tela Principal",permalink:"/PSP/docs/mainScreen"},next:{title:"Editor de Pot\xeancia",permalink:"/PSP/docs/powerEditor"}},d=function(e){var o=e.children,a=e.color;return Object(n.b)("span",{style:{backgroundColor:a,borderRadius:"2px",color:"#000",padding:"0.2rem"}},o)},l=[{value:"Ferramentas do menu",id:"ferramentas-do-menu",children:[{value:"Selecionar",id:"selecionar",children:[]},{value:"Mover",id:"mover",children:[]},{value:"Girar",id:"girar",children:[]},{value:"Arrastar",id:"arrastar",children:[]},{value:"Zoom",id:"zoom",children:[]},{value:"Encaixar",id:"encaixar",children:[]},{value:"Copiar e Colar",id:"copiar-e-colar",children:[]},{value:"Excluir",id:"excluir",children:[]}]},{value:"Personaliza\xe7\xe3o gr\xe1fica os elementos",id:"personaliza\xe7\xe3o-gr\xe1fica-os-elementos",children:[{value:"Barra",id:"barra",children:[]},{value:"Linha",id:"linha",children:[]}]},{value:"Conex\xe3o e desconex\xe3o de elemetos na barra",id:"conex\xe3o-e-desconex\xe3o-de-elemetos-na-barra",children:[]}],b={Highlight:d,toc:l};function m(e){var o=e.components,a=Object(t.a)(e,["components"]);return Object(n.b)("wrapper",Object(r.a)({},b,a,{components:o,mdxType:"MDXLayout"}),Object(n.b)("blockquote",null,Object(n.b)("p",{parentName:"blockquote"},"Desenho assistido por computador (DAC; em ingl\xeas: ",Object(n.b)("em",{parentName:"p"},"computer aided design")," - CAD) \xe9 o nome gen\xe9rico de sistemas computacionais (",Object(n.b)("em",{parentName:"p"},"software"),") utilizados pela engenharia, geologia, geografia, arquitetura e design para facilitar o projeto e desenho t\xe9cnicos. No caso do ",Object(n.b)("em",{parentName:"p"},"design"),", este pode estar ligado especificamente a todas as suas vertentes (produtos como vestu\xe1rio, eletroeletr\xf4nicos, automobil\xedsticos, etc.), de modo que os jarg\xf5es de cada especialidade s\xe3o incorporados na interface de cada programa. ",Object(n.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Desenho_assistido_por_computador"},"Wikipedia"))),Object(n.b)("h2",{id:"ferramentas-do-menu"},"Ferramentas do menu"),Object(n.b)("p",null,"Todos os objetos criados cont\xeam v\xe1rios atributos gr\xe1ficos, como: posi\xe7\xe3o, orienta\xe7\xe3o, cor, tamanho, etc. Para modific\xe1-los foram inseridas algumas ferramentas intuitivas e de f\xe1cil utiliza\xe7\xe3o, as quais s\xe3o: ",Object(n.b)("a",{parentName:"p",href:"cadTools#selecionar"},Object(n.b)("strong",{parentName:"a"},"selecionar")),", ",Object(n.b)("a",{parentName:"p",href:"cadTools#mover"},Object(n.b)("strong",{parentName:"a"},"mover")),", ",Object(n.b)("a",{parentName:"p",href:"cadTools#girar"},Object(n.b)("strong",{parentName:"a"},"girar")),", ",Object(n.b)("a",{parentName:"p",href:"cadTools#arrastar"},Object(n.b)("strong",{parentName:"a"},"arrastar")),", ",Object(n.b)("a",{parentName:"p",href:"cadTools#zoom"},Object(n.b)("strong",{parentName:"a"},"zoom")),", ",Object(n.b)("a",{parentName:"p",href:"cadTools#encaixar"},Object(n.b)("strong",{parentName:"a"},"encaixar")),", ",Object(n.b)("a",{parentName:"p",href:"cadTools#copiar-e-colar"},Object(n.b)("strong",{parentName:"a"},"copiar, colar"))," e ",Object(n.b)("a",{parentName:"p",href:"cadTools#excluir"},Object(n.b)("strong",{parentName:"a"},"excluir")),"."),Object(n.b)("p",null,"Essas ferramentas podem ser acessadas por suas teclas de atalho assim como pelo ",Object(n.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"submenu Ferramentas"),"."),Object(n.b)("p",null,"Tais ferramentas permitem a ",Object(n.b)("strong",{parentName:"p"},"personaliza\xe7\xe3o"),", ",Object(n.b)("strong",{parentName:"p"},"navega\xe7\xe3o")," e auxiliam a ",Object(n.b)("strong",{parentName:"p"},"cria\xe7\xe3o")," de redes el\xe9tricas de pot\xeancia, assim como diagramas de controle na plataforma."),Object(n.b)("h3",{id:"selecionar"},"Selecionar"),Object(n.b)("p",null,"A sele\xe7\xe3o de um \xfanico objeto \xe9 realizada clicando com o bot\xe3o esquerdo do mouse sobre o elemento, que ser\xe1 identificado pelo contorno em ",Object(n.b)(d,{color:"#80bfff",mdxType:"Highlight"},"azul")," do objeto."),Object(n.b)("p",null,"Para a sele\xe7\xe3o de v\xe1rios objetos simultaneamente \xe9 necess\xe1rio clicar com o bot\xe3o esquerdo do mouse em um local vazio da tela e arrast\xe1-lo, criando assim um ",Object(n.b)("strong",{parentName:"p"},"ret\xe2ngulo de sele\xe7\xe3o")," que ir\xe1 acompanhar o ponteiro do mouse enquanto o bot\xe3o esquerdo estiver pressionado. Ao solt\xe1-lo todos os objetos que intercederem o ret\xe2ngulo ser\xe3o selecionados."),Object(n.b)("p",null,"Mantendo pressionado a tecla Control (Ctrl) do teclado pode-se manter sele\xe7\xf5es anteriores enquanto novos elementos s\xe3o selecionados."),Object(n.b)("p",null,"Para desmarcar todos os objetos basta clicar em uma \xe1rea sem objetos."),Object(n.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(n.b)("source",{src:Object(s.a)("videos/select.mp4"),type:"video/mp4"}),Object(n.b)("source",{src:Object(s.a)("videos/select.webm"),type:"video/webm"})),Object(n.b)("h3",{id:"mover"},"Mover"),Object(n.b)("p",null,"Um elemento poder\xe1 ser movido para qualquer local por meio da a\xe7\xe3o ",Object(n.b)("em",{parentName:"p"},"drag-and-drop")," (clicando e arrastando) ou pela ferramenta mover."),Object(n.b)("p",null,"Ao habilitar o \u201cmodo mover\u201d, movendo todos os componentes selecionados \xe0 medida que a posi\xe7\xe3o do mouse \xe9 alterada. Para desabilitar esse modo basta pressionar a tecla Escape do teclado."),Object(n.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(n.b)("source",{src:Object(s.a)("videos/move.mp4"),type:"video/mp4"}),Object(n.b)("source",{src:Object(s.a)("videos/move.webm"),type:"video/webm"})),Object(n.b)("h3",{id:"girar"},"Girar"),Object(n.b)("p",null,"Alguns objetos poder\xe3o ser rotacionados atrav\xe9s da ferramenta girar, acessado pela tecla de atalho \u201cR\u201d, girando o objeto no sentido hor\xe1rio, ou \u201cShift + R\u201d, para o sentido anti-hor\xe1rio (essa op\xe7\xe3o ir\xe1 afetar todos os objetos selecionados). O elemento tamb\xe9m pode ser rotacionado pelo ",Object(n.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"submenu Ferramentas")," ou ao acessar o menu de contexto clicando com o bot\xe3o direito sobre o elemento."),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"O menu de contexto somente ser\xe1 exibido se o elemento estiver selecionado."))),Object(n.b)("p",null,"Ao utilizar essa ferramenta os objetos ir\xe3o girar 45\xba a partir do seu ponto de origem. Para atingir a angula\xe7\xe3o pretendida basta repetir o processo de rota\xe7\xe3o."),Object(n.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(n.b)("source",{src:Object(s.a)("videos/rotate.mp4"),type:"video/mp4"}),Object(n.b)("source",{src:Object(s.a)("videos/rotate.webm"),type:"video/webm"})),Object(n.b)("h3",{id:"arrastar"},"Arrastar"),Object(n.b)("p",null,"Tr\xeas ferramentas muito \xfateis na navega\xe7\xe3o do circuito, principalmente em grandes redes, s\xe3o: arrastar, zoom e encaixar."),Object(n.b)("p",null,"A ferramenta arrastar possibilita mover todo o circuito ",Object(n.b)("strong",{parentName:"p"},"preservando as posi\xe7\xf5es relativas entre os elementos"),". Esta ferramenta pode ser acessada pelo submenu \u201cFerramentas\u201d ou ",Object(n.b)("strong",{parentName:"p"},"mantendo pressionada o ",Object(n.b)("em",{parentName:"strong"},"scroll")," do mouse"),", ativando assim o \u201cmodo arrastar\u201d. Ao ativ\xe1-lo todo o circuito ser\xe1 movido clicando e arrastando na dire\xe7\xe3o desejada."),Object(n.b)("p",null,"Para sair do \u201cmodo arrastar\u201d basta pressionar a tecla Escape do teclado."),Object(n.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(n.b)("source",{src:Object(s.a)("videos/drag.mp4"),type:"video/mp4"}),Object(n.b)("source",{src:Object(s.a)("videos/drag.webm"),type:"video/webm"})),Object(n.b)("h3",{id:"zoom"},"Zoom"),Object(n.b)("p",null,"O zoom ser\xe1 aplicado ao utilizar o ",Object(n.b)("strong",{parentName:"p"},"scroll do mouse")," para mais ou menos zoom. A ferramenta zoom ir\xe1 aproximar ou distanciar o circuito a partir da posi\xe7\xe3o do ponteiro do mouse na tela para encontrar objetos ou destaca-los."),Object(n.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(n.b)("source",{src:Object(s.a)("videos/zoom.mp4"),type:"video/mp4"}),Object(n.b)("source",{src:Object(s.a)("videos/zoom.webm"),type:"video/webm"})),Object(n.b)("h3",{id:"encaixar"},"Encaixar"),Object(n.b)("p",null,"A ferramenta encaixar ir\xe1 mover o circuito e aplicar o zoom necess\xe1rio para que todos os componentes da rede sejam exibidos na tela. Esta ferramenta pode ser acessada atrav\xe9s do submenu \u201cFerramentas\u201d ou pela combina\xe7\xe3o de teclas \u201cShift + F\u201d."),Object(n.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(n.b)("source",{src:Object(s.a)("videos/fit.mp4"),type:"video/mp4"}),Object(n.b)("source",{src:Object(s.a)("videos/fit.webm"),type:"video/webm"})),Object(n.b)("h3",{id:"copiar-e-colar"},"Copiar e Colar"),Object(n.b)("p",null,"Duas ferramentas importantes durante o processo de cria\xe7\xe3o da rede el\xe9trica de pot\xeancia no ",Object(n.b)("em",{parentName:"p"},"software")," s\xe3o copiar e colar. Qualquer circuito criado no PSP-UFU poder\xe1 ser duplicado completamente ou parcialmente no mesmo projeto ou em m\xfaltiplos atrav\xe9s dessas ferramentas."),Object(n.b)("p",null,"Para copiar basta selecionar os elementos que se deseja duplicar e acessar a ferramenta no submenu \u201cFerramentas\u201d ou pressionando a combina\xe7\xe3o das teclas \u201cCtrl + C\u201d, ent\xe3o os dados do circuito ser\xe3o copiados para a \xe1rea de transfer\xeancia. Ao copiar um circuito ele poder\xe1 ser colado no mesmo projeto ou em um projeto distinto, utilizando o mesmo submenu ou pressionando a combina\xe7\xe3o das teclas \u201cCtrl + V\u201d."),Object(n.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(n.b)("source",{src:Object(s.a)("videos/copyPaste.mp4"),type:"video/mp4"}),Object(n.b)("source",{src:Object(s.a)("videos/copyPaste.webm"),type:"video/webm"})),Object(n.b)("h3",{id:"excluir"},"Excluir"),Object(n.b)("p",null,"Qualquer objeto poder\xe1 ser exclu\xeddo do projeto por meio da ferramenta deletar, presente no menu Ribbon, pela tecla de atalho Delete ou pelo acesso ao menu de contexto clicando com o bot\xe3o direito sobre o elemento selecionado."),Object(n.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(n.b)("source",{src:Object(s.a)("videos/delete.mp4"),type:"video/mp4"}),Object(n.b)("source",{src:Object(s.a)("videos/delete.webm"),type:"video/webm"})),Object(n.b)("h2",{id:"personaliza\xe7\xe3o-gr\xe1fica-os-elementos"},"Personaliza\xe7\xe3o gr\xe1fica os elementos"),Object(n.b)("p",null,"Alguns elementos permitem sua personaliza\xe7\xe3o gr\xe1fica, como as barras e linhas."),Object(n.b)("h3",{id:"barra"},"Barra"),Object(n.b)("p",null,"No caso dos barramentos, pode-se alterar o ",Object(n.b)("strong",{parentName:"p"},"comprimento da barra")," clicando e arrastando no ",Object(n.b)("em",{parentName:"p"},"pickbox")," exibido ao posicionar o ponteiro do mouse sobre esse elemento selecionado."),Object(n.b)("h3",{id:"linha"},"Linha"),Object(n.b)("p",null,"As linhas podem ser inseridas com ",Object(n.b)("strong",{parentName:"p"},'"n\xf3s" (pontos de ancoragem)'),", personalizando a disposi\xe7\xe3o das linhas no diagrama unifilar. Esses n\xf3s s\xe3o inseridos durante o processo de cria\xe7\xe3o do elemento, anteriormente \xe0 sele\xe7\xe3o da segunda barra."),Object(n.b)("p",null,"Ap\xf3s a sua inser\xe7\xe3o, novos n\xf3s podem ser anexados pelo menu de contexto acessado ao clicar com o bot\xe3o direito sobre a linha selecionada. Sua remo\xe7\xe3o tamb\xe9m \xe9 alcan\xe7ada por uma op\xe7\xe3o do menu de contexto."),Object(n.b)("p",null,"Assim como nos barramentos, a altera\xe7\xe3o da posi\xe7\xe3o dos n\xf3s \xe9 obtida clicando e arrastando o ",Object(n.b)("em",{parentName:"p"},"pickbox")," exibido ao posicionar o ponteiro do mouse sobre esse elemento selecionado."),Object(n.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(n.b)("source",{src:Object(s.a)("videos/graphicPropsChange.mp4"),type:"video/mp4"}),Object(n.b)("source",{src:Object(s.a)("videos/graphicPropsChange.webm"),type:"video/webm"})),Object(n.b)("h2",{id:"conex\xe3o-e-desconex\xe3o-de-elemetos-na-barra"},"Conex\xe3o e desconex\xe3o de elemetos na barra"),Object(n.b)("p",null,"Os elementos podem ser desconectados e reconectados \xe0s barras ap\xf3s sua inser\xe7\xe3o somente pela ferramenta ",Object(n.b)("em",{parentName:"p"},"drag-and-drop"),". Para isso, o elemento deve ser selecionado e o seu n\xf3 de conex\xe3o deve ser arrastado para o local requerido."),Object(n.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"O elemento a ser desconectado/reconectado ",Object(n.b)("strong",{parentName:"p"},"deve ser previamente selecionado")," para efetuar a opera\xe7\xe3o. Caso contr\xe1rio a barra ser\xe1 movida ou nenhuma opera\xe7\xe3o ser\xe1 realizada."))),Object(n.b)("p",null,"No caso de desconex\xe3o, o elemento ser\xe1 automaticamente removido da simula\xe7\xe3o, sendo indicado pela sua cor (o elemento passa a ter cor ",Object(n.b)(d,{color:"#7f7f7f",mdxType:"Highlight"},"cinza"),")."),Object(n.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(n.b)("div",{parentName:"div",className:"admonition-heading"},Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",{parentName:"h5",className:"admonition-icon"},Object(n.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(n.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(n.b)("div",{parentName:"div",className:"admonition-content"},Object(n.b)("p",{parentName:"div"},"Ao reconectar o elemento ao circuito, deve-se ",Object(n.b)("strong",{parentName:"p"},'atentar para estado do seu "disjuntor"'),", indicado por um quadrado pr\xf3ximo ao seu n\xf3 de conex\xe3o. Um elemento reconectado volta ao circuito com seu disjuntor aberto (",Object(n.b)(d,{color:"#ff1919",mdxType:"Highlight"},"vermelho"),"), sendo necess\xe1rio clicar sobre o mesmo a fim de inserir o elemento no circuito."))),Object(n.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(n.b)("source",{src:Object(s.a)("videos/disconnect.mp4"),type:"video/mp4"}),Object(n.b)("source",{src:Object(s.a)("videos/disconnect.webm"),type:"video/webm"})))}m.isMDXComponent=!0},140:function(e,o,a){"use strict";a.d(o,"a",(function(){return b})),a.d(o,"b",(function(){return u}));var r=a(0),t=a.n(r);function n(e,o,a){return o in e?Object.defineProperty(e,o,{value:a,enumerable:!0,configurable:!0,writable:!0}):e[o]=a,e}function s(e,o){var a=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);o&&(r=r.filter((function(o){return Object.getOwnPropertyDescriptor(e,o).enumerable}))),a.push.apply(a,r)}return a}function c(e){for(var o=1;o<arguments.length;o++){var a=null!=arguments[o]?arguments[o]:{};o%2?s(Object(a),!0).forEach((function(o){n(e,o,a[o])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(a)):s(Object(a)).forEach((function(o){Object.defineProperty(e,o,Object.getOwnPropertyDescriptor(a,o))}))}return e}function i(e,o){if(null==e)return{};var a,r,t=function(e,o){if(null==e)return{};var a,r,t={},n=Object.keys(e);for(r=0;r<n.length;r++)a=n[r],o.indexOf(a)>=0||(t[a]=e[a]);return t}(e,o);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);for(r=0;r<n.length;r++)a=n[r],o.indexOf(a)>=0||Object.prototype.propertyIsEnumerable.call(e,a)&&(t[a]=e[a])}return t}var d=t.a.createContext({}),l=function(e){var o=t.a.useContext(d),a=o;return e&&(a="function"==typeof e?e(o):c(c({},o),e)),a},b=function(e){var o=l(e.components);return t.a.createElement(d.Provider,{value:o},e.children)},m={inlineCode:"code",wrapper:function(e){var o=e.children;return t.a.createElement(t.a.Fragment,{},o)}},p=t.a.forwardRef((function(e,o){var a=e.components,r=e.mdxType,n=e.originalType,s=e.parentName,d=i(e,["components","mdxType","originalType","parentName"]),b=l(a),p=r,u=b["".concat(s,".").concat(p)]||b[p]||m[p]||n;return a?t.a.createElement(u,c(c({ref:o},d),{},{components:a})):t.a.createElement(u,c({ref:o},d))}));function u(e,o){var a=arguments,r=o&&o.mdxType;if("string"==typeof e||r){var n=a.length,s=new Array(n);s[0]=p;var c={};for(var i in o)hasOwnProperty.call(o,i)&&(c[i]=o[i]);c.originalType=e,c.mdxType="string"==typeof e?e:r,s[1]=c;for(var d=2;d<n;d++)s[d]=a[d];return t.a.createElement.apply(null,s)}return t.a.createElement.apply(null,a)}p.displayName="MDXCreateElement"},141:function(e,o,a){"use strict";a.d(o,"b",(function(){return n})),a.d(o,"a",(function(){return s}));var r=a(16),t=a(142);function n(){const{siteConfig:{baseUrl:e="/",url:o}={}}=Object(r.default)();return{withBaseUrl:(a,r)=>function(e,o,a,{forcePrependBaseUrl:r=!1,absolute:n=!1}={}){if(!a)return a;if(a.startsWith("#"))return a;if(Object(t.b)(a))return a;if(r)return o+a;const s=a.startsWith(o)?a:o+a.replace(/^\//,"");return n?e+s:s}(o,e,a,r)}}function s(e,o={}){const{withBaseUrl:a}=n();return a(e,o)}},142:function(e,o,a){"use strict";function r(e){return!0===/^(\w*:|\/\/)/.test(e)}function t(e){return void 0!==e&&!r(e)}a.d(o,"b",(function(){return r})),a.d(o,"a",(function(){return t}))}}]);
\ No newline at end of file
diff --git a/docs/assets/js/8cfac46c.a73e6e5b.js b/docs/assets/js/8cfac46c.a73e6e5b.js
new file mode 100644
index 0000000..26eb540
--- /dev/null
+++ b/docs/assets/js/8cfac46c.a73e6e5b.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[30],{103:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return c})),r.d(t,"metadata",(function(){return i})),r.d(t,"toc",(function(){return u})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),c={title:"2019w42a-beta",author:"Thales",author_title:"PhD",author_url:"https://github.com/thales1330",author_image_url:"https://avatars0.githubusercontent.com/u/16141330?s=460&v=4",tags:["psp-ufu"]},i={permalink:"/PSP/blog/2019/10/13/2019w42a-beta",editUrl:"https://github.com/Thales1330/PSP/tree/master/docs/blog/2019-10-13-2019w42a-beta.md",source:"@site/blog/2019-10-13-2019w42a-beta.md",description:"- \ud83d\udd25 Harmonic study implemented;",date:"2019-10-13T00:00:00.000Z",formattedDate:"October 12, 2019",tags:[{label:"psp-ufu",permalink:"/PSP/blog/tags/psp-ufu"}],title:"2019w42a-beta",readingTime:.11,truncated:!1,prevItem:{title:"22019w44a-beta",permalink:"/PSP/blog/2019/11/01/2019w44a-beta"}},u=[],l={toc:u};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"\ud83d\udd25 Harmonic study implemented;"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udd25 Autolayout from importation implemented;"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udd25 Importation of Matpower files;"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udc1b Several minor bugfixes.")))}p.isMDXComponent=!0},140:function(e,t,r){"use strict";r.d(t,"a",(function(){return m})),r.d(t,"b",(function(){return s}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function c(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function i(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?c(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):c(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function u(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):i(i({},t),e)),r},m=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},b={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},f=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,c=e.parentName,l=u(e,["components","mdxType","originalType","parentName"]),m=p(r),f=n,s=m["".concat(c,".").concat(f)]||m[f]||b[f]||o;return r?a.a.createElement(s,i(i({ref:t},l),{},{components:r})):a.a.createElement(s,i({ref:t},l))}));function s(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,c=new Array(o);c[0]=f;var i={};for(var u in t)hasOwnProperty.call(t,u)&&(i[u]=t[u]);i.originalType=e,i.mdxType="string"==typeof e?e:n,c[1]=i;for(var l=2;l<o;l++)c[l]=r[l];return a.a.createElement.apply(null,c)}return a.a.createElement.apply(null,r)}f.displayName="MDXCreateElement"}}]);
\ No newline at end of file
diff --git a/docs/assets/js/8ed8a9e1.4a0217a1.js b/docs/assets/js/8ed8a9e1.4a0217a1.js
new file mode 100644
index 0000000..d2cb7f6
--- /dev/null
+++ b/docs/assets/js/8ed8a9e1.4a0217a1.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[31],{104:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return i})),r.d(t,"metadata",(function(){return c})),r.d(t,"toc",(function(){return u})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),i={title:"2020w24a-beta",author:"Thales",author_title:"PhD",author_url:"https://github.com/thales1330",author_image_url:"https://avatars0.githubusercontent.com/u/16141330?s=460&v=4",tags:["psp-ufu"]},c={permalink:"/PSP/blog/2020/06/13/2020w24a-beta",editUrl:"https://github.com/Thales1330/PSP/tree/master/docs/blog/2020-06-13-2020w24a-beta.md",source:"@site/blog/2020-06-13-2020w24a-beta.md",description:"- \u2714\ufe0f Device context render implemented (to avoid use OpenGL - some machines can't use it properly);",date:"2020-06-13T00:00:00.000Z",formattedDate:"June 12, 2020",tags:[{label:"psp-ufu",permalink:"/PSP/blog/tags/psp-ufu"}],title:"2020w24a-beta",readingTime:.17,truncated:!1,prevItem:{title:"2020w28a-beta",permalink:"/PSP/blog/2020/07/09/2020w28a-beta"},nextItem:{title:"22019w44a-beta",permalink:"/PSP/blog/2019/11/01/2019w44a-beta"}},u=[],l={toc:u};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f Device context render implemented (to avoid use OpenGL - some machines can't use it properly);"),Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f Added Visual Studio solution to the GitHub project;"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udc1b Several major and minor bugfixes.")))}p.isMDXComponent=!0},140:function(e,t,r){"use strict";r.d(t,"a",(function(){return s})),r.d(t,"b",(function(){return f}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function c(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?i(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):i(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function u(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):c(c({},t),e)),r},s=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},b={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},m=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,i=e.parentName,l=u(e,["components","mdxType","originalType","parentName"]),s=p(r),m=n,f=s["".concat(i,".").concat(m)]||s[m]||b[m]||o;return r?a.a.createElement(f,c(c({ref:t},l),{},{components:r})):a.a.createElement(f,c({ref:t},l))}));function f(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,i=new Array(o);i[0]=m;var c={};for(var u in t)hasOwnProperty.call(t,u)&&(c[u]=t[u]);c.originalType=e,c.mdxType="string"==typeof e?e:n,i[1]=c;for(var l=2;l<o;l++)i[l]=r[l];return a.a.createElement.apply(null,i)}return a.a.createElement.apply(null,r)}m.displayName="MDXCreateElement"}}]);
\ No newline at end of file
diff --git a/docs/assets/js/90868595.be008a93.js b/docs/assets/js/90868595.be008a93.js
new file mode 100644
index 0000000..42221f2
--- /dev/null
+++ b/docs/assets/js/90868595.be008a93.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[32],{105:function(e,t,n){"use strict";n.r(t),n.d(t,"frontMatter",(function(){return o})),n.d(t,"metadata",(function(){return c})),n.d(t,"toc",(function(){return p})),n.d(t,"default",(function(){return l}));var a=n(3),r=n(7),s=(n(0),n(140)),i=n(141),o={id:"divider",title:"Divisor",sidebar_label:"Divisor"},c={unversionedId:"divider",id:"divider",isDocsHomePage:!1,title:"Divisor",description:"Esse elemento \xe9 bastante simples e cumpre com a fun\xe7\xe3o matem\xe1ticas de seu nome.",source:"@site/docs/divider.md",slug:"/divider",permalink:"/PSP/docs/divider",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/divider.md",version:"current",sidebar_label:"Divisor",sidebar:"docs",previous:{title:"Multiplicador",permalink:"/PSP/docs/multiplier"},next:{title:"Exponencial",permalink:"/PSP/docs/exponential"}},p=[],m={toc:p};function l(e){var t=e.components,n=Object(r.a)(e,["components"]);return Object(s.b)("wrapper",Object(a.a)({},m,n,{components:t,mdxType:"MDXLayout"}),Object(s.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(s.b)("p",null,"Esse elemento \xe9 bastante simples e cumpre com a fun\xe7\xe3o matem\xe1ticas de seu nome."),Object(s.b)("p",null,"Possui duas entradas de valores reais e sua sa\xedda \xe9 computada na sequ\xeancia do n\xf3 superior pelo inferior, ou seja, a sa\xedda ser\xe1 o valor presente no n\xf3 1 dividido pelo n\xf3 2."),Object(s.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(s.b)("div",{parentName:"div",className:"admonition-heading"},Object(s.b)("h5",{parentName:"div"},Object(s.b)("span",{parentName:"h5",className:"admonition-icon"},Object(s.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(s.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(s.b)("div",{parentName:"div",className:"admonition-content"},Object(s.b)("p",{parentName:"div"},"N\xf3s n\xe3o conectados no divisor s\xe3o considerados como valor nulo. Caso a divis\xe3o possua numerador zero, o valor da sa\xedda \xe9 definida como sendo ",Object(s.b)("span",{parentName:"p",className:"math math-inline"},Object(s.b)("span",{parentName:"span",className:"katex"},Object(s.b)("span",{parentName:"span",className:"katex-mathml"},Object(s.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(s.b)("semantics",{parentName:"math"},Object(s.b)("mrow",{parentName:"semantics"},Object(s.b)("mn",{parentName:"mrow"},"1"),Object(s.b)("msup",{parentName:"mrow"},Object(s.b)("mn",{parentName:"msup"},"0"),Object(s.b)("mn",{parentName:"msup"},"15"))),Object(s.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"10^{15}")))),Object(s.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(s.b)("span",{parentName:"span",className:"base"},Object(s.b)("span",{parentName:"span",className:"strut",style:{height:"0.8141079999999999em",verticalAlign:"0em"}}),Object(s.b)("span",{parentName:"span",className:"mord"},"1"),Object(s.b)("span",{parentName:"span",className:"mord"},Object(s.b)("span",{parentName:"span",className:"mord"},"0"),Object(s.b)("span",{parentName:"span",className:"msupsub"},Object(s.b)("span",{parentName:"span",className:"vlist-t"},Object(s.b)("span",{parentName:"span",className:"vlist-r"},Object(s.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(s.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(s.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(s.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(s.b)("span",{parentName:"span",className:"mord mtight"},Object(s.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(s.b)("span",{parentName:"span",className:"mord mtight"},"5"))))))))))))),"."))))}l.isMDXComponent=!0},140:function(e,t,n){"use strict";n.d(t,"a",(function(){return l})),n.d(t,"b",(function(){return d}));var a=n(0),r=n.n(a);function s(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function i(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);t&&(a=a.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,a)}return n}function o(e){for(var t=1;t<arguments.length;t++){var n=null!=arguments[t]?arguments[t]:{};t%2?i(Object(n),!0).forEach((function(t){s(e,t,n[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(n)):i(Object(n)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(n,t))}))}return e}function c(e,t){if(null==e)return{};var n,a,r=function(e,t){if(null==e)return{};var n,a,r={},s=Object.keys(e);for(a=0;a<s.length;a++)n=s[a],t.indexOf(n)>=0||(r[n]=e[n]);return r}(e,t);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(e);for(a=0;a<s.length;a++)n=s[a],t.indexOf(n)>=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(r[n]=e[n])}return r}var p=r.a.createContext({}),m=function(e){var t=r.a.useContext(p),n=t;return e&&(n="function"==typeof e?e(t):o(o({},t),e)),n},l=function(e){var t=m(e.components);return r.a.createElement(p.Provider,{value:t},e.children)},u={inlineCode:"code",wrapper:function(e){var t=e.children;return r.a.createElement(r.a.Fragment,{},t)}},b=r.a.forwardRef((function(e,t){var n=e.components,a=e.mdxType,s=e.originalType,i=e.parentName,p=c(e,["components","mdxType","originalType","parentName"]),l=m(n),b=a,d=l["".concat(i,".").concat(b)]||l[b]||u[b]||s;return n?r.a.createElement(d,o(o({ref:t},p),{},{components:n})):r.a.createElement(d,o({ref:t},p))}));function d(e,t){var n=arguments,a=t&&t.mdxType;if("string"==typeof e||a){var s=n.length,i=new Array(s);i[0]=b;var o={};for(var c in t)hasOwnProperty.call(t,c)&&(o[c]=t[c]);o.originalType=e,o.mdxType="string"==typeof e?e:a,i[1]=o;for(var p=2;p<s;p++)i[p]=n[p];return r.a.createElement.apply(null,i)}return r.a.createElement.apply(null,n)}b.displayName="MDXCreateElement"},141:function(e,t,n){"use strict";n.d(t,"b",(function(){return s})),n.d(t,"a",(function(){return i}));var a=n(16),r=n(142);function s(){const{siteConfig:{baseUrl:e="/",url:t}={}}=Object(a.default)();return{withBaseUrl:(n,a)=>function(e,t,n,{forcePrependBaseUrl:a=!1,absolute:s=!1}={}){if(!n)return n;if(n.startsWith("#"))return n;if(Object(r.b)(n))return n;if(a)return t+n;const i=n.startsWith(t)?n:t+n.replace(/^\//,"");return s?e+i:i}(t,e,n,a)}}function i(e,t={}){const{withBaseUrl:n}=s();return n(e,t)}},142:function(e,t,n){"use strict";function a(e){return!0===/^(\w*:|\/\/)/.test(e)}function r(e){return void 0!==e&&!a(e)}n.d(t,"b",(function(){return a})),n.d(t,"a",(function(){return r}))}}]);
\ No newline at end of file
diff --git a/docs/assets/js/90d4a177.847ea7ff.js b/docs/assets/js/90d4a177.847ea7ff.js
new file mode 100644
index 0000000..e6f6b61
--- /dev/null
+++ b/docs/assets/js/90d4a177.847ea7ff.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[33],{106:function(p){p.exports=JSON.parse('{"psp-ufu":{"allTagsPath":"/PSP/blog/tags","slug":"psp-ufu","name":"psp-ufu","count":5,"permalink":"/PSP/blog/tags/psp-ufu"}}')}}]);
\ No newline at end of file
diff --git a/docs/assets/js/935f2afb.36752bfd.js b/docs/assets/js/935f2afb.36752bfd.js
new file mode 100644
index 0000000..7cfeaff
--- /dev/null
+++ b/docs/assets/js/935f2afb.36752bfd.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[34],{107:function(o){o.exports=JSON.parse('{"pluginId":"default","version":"current","label":"Next","isLast":true,"docsSidebars":{"docs":[{"collapsed":true,"type":"category","label":"Introduction","items":[{"type":"link","label":"PSP-UFU","href":"/PSP/docs/"},{"type":"link","label":"Installation","href":"/PSP/docs/installation"},{"type":"link","label":"Tela Principal","href":"/PSP/docs/mainScreen"},{"type":"link","label":"Ferramentas CAD","href":"/PSP/docs/cadTools"}]},{"collapsed":true,"type":"category","label":"Power Element Editor","items":[{"type":"link","label":"Editor de Pot\xeancia","href":"/PSP/docs/powerEditor"},{"collapsed":true,"type":"category","label":"Power Elements","items":[{"type":"link","label":"Barramento","href":"/PSP/docs/bus"},{"type":"link","label":"Linha","href":"/PSP/docs/line"},{"type":"link","label":"Transformador","href":"/PSP/docs/transformer"},{"type":"link","label":"Carga","href":"/PSP/docs/load"},{"type":"link","label":"Capacitor","href":"/PSP/docs/capacitor"},{"type":"link","label":"Indutor","href":"/PSP/docs/inductor"},{"type":"link","label":"Fonte de Corrente Harm\xf4nica","href":"/PSP/docs/harmSource"},{"type":"link","label":"Gerador S\xedncrono","href":"/PSP/docs/syncGenerator"},{"type":"link","label":"Compensador S\xedncrono","href":"/PSP/docs/syncMotor"},{"type":"link","label":"Motor de Indu\xe7\xe3o","href":"/PSP/docs/indMotor"}]}]},{"collapsed":true,"type":"category","label":"Control Element Editor","items":[{"type":"link","label":"Editor de Controle","href":"/PSP/docs/controlEditor"},{"collapsed":true,"type":"category","label":"Control Elements","items":[{"type":"link","label":"Entrada / Sa\xedda","href":"/PSP/docs/io"},{"type":"link","label":"Fun\xe7\xe3o Transfer\xeancia","href":"/PSP/docs/transferFunction"},{"type":"link","label":"Somador","href":"/PSP/docs/sum"},{"type":"link","label":"Multiplicador","href":"/PSP/docs/multiplier"},{"type":"link","label":"Divisor","href":"/PSP/docs/divider"},{"type":"link","label":"Exponencial","href":"/PSP/docs/exponential"},{"type":"link","label":"Limitador absoluto","href":"/PSP/docs/limiter"},{"type":"link","label":"Limitador de taxa","href":"/PSP/docs/rateLimiter"},{"type":"link","label":"Constante","href":"/PSP/docs/const"},{"type":"link","label":"Ganho","href":"/PSP/docs/gain"},{"type":"link","label":"Express\xe3o Matem\xe1tica","href":"/PSP/docs/mathExpression"}]}]},{"collapsed":true,"type":"category","label":"Simulations","items":[{"type":"link","label":"Fluxo de Pot\xeancia","href":"/PSP/docs/powerFlow"},{"type":"link","label":"Curto-Circuito","href":"/PSP/docs/fault"},{"type":"link","label":"Harm\xf4nicos","href":"/PSP/docs/harmonics"},{"type":"link","label":"Estabilidade","href":"/PSP/docs/stability"},{"type":"link","label":"Configura\xe7\xf5es da Simula\xe7\xe3o","href":"/PSP/docs/simulationConfig"}]},{"collapsed":true,"type":"category","label":"Data Visualization","items":[{"type":"link","label":"Texto Vinculado","href":"/PSP/docs/text"},{"type":"link","label":"Relat\xf3rios Tabulares","href":"/PSP/docs/tabularReport"},{"type":"link","label":"Visualizador de Gr\xe1ficos","href":"/PSP/docs/graphViewer"},{"type":"link","label":"Mapa de Tens\xe3o","href":"/PSP/docs/heatmap"}]}]},"permalinkToSidebar":{"/PSP/docs/":"docs","/PSP/docs/bus":"docs","/PSP/docs/cadTools":"docs","/PSP/docs/capacitor":"docs","/PSP/docs/const":"docs","/PSP/docs/controlEditor":"docs","/PSP/docs/divider":"docs","/PSP/docs/exponential":"docs","/PSP/docs/fault":"docs","/PSP/docs/gain":"docs","/PSP/docs/graphViewer":"docs","/PSP/docs/harmonics":"docs","/PSP/docs/harmSource":"docs","/PSP/docs/heatmap":"docs","/PSP/docs/indMotor":"docs","/PSP/docs/inductor":"docs","/PSP/docs/installation":"docs","/PSP/docs/io":"docs","/PSP/docs/limiter":"docs","/PSP/docs/line":"docs","/PSP/docs/load":"docs","/PSP/docs/mainScreen":"docs","/PSP/docs/mathExpression":"docs","/PSP/docs/multiplier":"docs","/PSP/docs/powerEditor":"docs","/PSP/docs/powerFlow":"docs","/PSP/docs/rateLimiter":"docs","/PSP/docs/simulationConfig":"docs","/PSP/docs/stability":"docs","/PSP/docs/sum":"docs","/PSP/docs/syncGenerator":"docs","/PSP/docs/syncMotor":"docs","/PSP/docs/tabularReport":"docs","/PSP/docs/text":"docs","/PSP/docs/transferFunction":"docs","/PSP/docs/transformer":"docs"}}')}}]);
\ No newline at end of file
diff --git a/docs/assets/js/97f10cc2.d1840f2b.js b/docs/assets/js/97f10cc2.d1840f2b.js
new file mode 100644
index 0000000..85e0544
--- /dev/null
+++ b/docs/assets/js/97f10cc2.d1840f2b.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[35],{108:function(e,a,t){"use strict";t.r(a),t.d(a,"frontMatter",(function(){return p})),t.d(a,"metadata",(function(){return o})),t.d(a,"toc",(function(){return i})),t.d(a,"default",(function(){return b}));var s=t(3),n=t(7),m=(t(0),t(140)),r=t(141),p=(t(146),t(147),{id:"stability",title:"Estabilidade",sidebar_label:"Estabilidade"}),o={unversionedId:"stability",id:"stability",isDocsHomePage:!1,title:"Estabilidade",description:"Estabilidade de sistemas de pot\xeancia \xe9 a habilidade de um Sistema El\xe9trico de Pot\xeancia (SEP), para uma certa condi\xe7\xe3o de opera\xe7\xe3o, de reestabelecer um estado de opera\xe7\xe3o de equil\xedbrio ap\xf3s ser submetido a um dist\xfarbio f\xedsico. A estabilidade \xe9 reconhecida como um importante problema para a seguran\xe7a da opera\xe7\xe3o desde a d\xe9cada de 1920. Muitos blackouts de grande porte causados pela instabilidade do SEP t\xeam ilustrado a import\xe2ncia desse fen\xf4meno.",source:"@site/docs/stability.md",slug:"/stability",permalink:"/PSP/docs/stability",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/stability.md",version:"current",sidebar_label:"Estabilidade",sidebar:"docs",previous:{title:"Harm\xf4nicos",permalink:"/PSP/docs/harmonics"},next:{title:"Configura\xe7\xf5es da Simula\xe7\xe3o",permalink:"/PSP/docs/simulationConfig"}},i=[{value:"Execu\xe7\xe3o do estudo de estabilidade no PSP-UFU",id:"execu\xe7\xe3o-do-estudo-de-estabilidade-no-psp-ufu",children:[{value:"Inserindo um evento de estabilidade",id:"inserindo-um-evento-de-estabilidade",children:[]},{value:"Erros comuns na execu\xe7\xe3o do estudo de estabilidade",id:"erros-comuns-na-execu\xe7\xe3o-do-estudo-de-estabilidade",children:[]}]},{value:"Estrutura da ferramenta de estabilidade",id:"estrutura-da-ferramenta-de-estabilidade",children:[{value:"Integra\xe7\xe3o num\xe9rica",id:"integra\xe7\xe3o-num\xe9rica",children:[]}]},{value:"Refer\xeancias",id:"refer\xeancias",children:[]}],c={toc:i};function b(e){var a=e.components,t=Object(n.a)(e,["components"]);return Object(m.b)("wrapper",Object(s.a)({},c,t,{components:a,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(r.a)("katex/katex.min.css")}),Object(m.b)("p",null,"Estabilidade de sistemas de pot\xeancia \xe9 a habilidade de um Sistema El\xe9trico de Pot\xeancia (SEP), para uma certa condi\xe7\xe3o de opera\xe7\xe3o, de reestabelecer um estado de opera\xe7\xe3o de equil\xedbrio ap\xf3s ser submetido a um dist\xfarbio f\xedsico. A estabilidade \xe9 reconhecida como um importante problema para a seguran\xe7a da opera\xe7\xe3o desde a d\xe9cada de 1920. Muitos ",Object(m.b)("em",{parentName:"p"},"blackouts")," de grande porte causados pela instabilidade do SEP t\xeam ilustrado a import\xe2ncia desse fen\xf4meno."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(r.a)("images/stability.svg"),alt:"Estabilidade",title:"Estabilidade"}))),Object(m.b)("p",null,"Normalmente s\xe3o realizados dois tipos de estudos de estabilidade (uma classifica\xe7\xe3o mais aprofundada pode ser observada ",Object(m.b)("a",{parentName:"p",href:"https://doi.org/10.1109/TPWRS.2004.825981"},"nesse artigo"),"). A recupera\xe7\xe3o de uma r\xe1pida e brusca perturba\xe7\xe3o \xe9 chamada de ",Object(m.b)("strong",{parentName:"p"},"estabilidade transit\xf3ria"),", e sua solu\xe7\xe3o \xe9 geralmente obtida no dom\xednio do tempo. Outro estudo \xe9 denominado ",Object(m.b)("strong",{parentName:"p"},"estabilidade din\xe2mica"),", utilizado para descrever a resposta do sistema frente a pequenas perturba\xe7\xf5es ao longo de muito tempo, o qual pode ser resolvido tanto no dom\xednio da frequ\xeancia quanto no dom\xednio do tempo."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"No PSP-UFU, a estabilidade din\xe2mica \xe9 tratada como uma extens\xe3o da estabilidade transit\xf3ria, em que os efeitos de pequenas constantes de tempo devem ser ignorados."))),Object(m.b)("p",null,"O modelo para representa\xe7\xe3o do SEP em um estudo de estabilidade transit\xf3ria \xe9 feito por meio do sistema de equa\xe7\xf5es alg\xe9brico-diferenciais (EADs), em que o estado inicial \xe9 considerado est\xe1vel e originado de um estudo de ",Object(m.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga"),". A solu\xe7\xe3o das equa\xe7\xf5es se d\xe1 por meio de um ",Object(m.b)("a",{parentName:"p",href:"https://en.wikipedia.org/wiki/Numerical_integration"},"m\xe9todo de integra\xe7\xe3o num\xe9rica")," e, ent\xe3o, \xe9 observada a resposta do sistema de pot\xeancia."),Object(m.b)("p",null,"Caso a solu\xe7\xe3o no dom\xednio do tempo, ap\xf3s alguma perturba\xe7\xe3o, leve um ou mais par\xe2metros do sistema a valores fisicamente imposs\xedveis ou, at\xe9 mesmo, a solu\xe7\xe3o das equa\xe7\xf5es diferenciais n\xe3o obtenha converg\xeancia em processos iterativos, o sistema \xe9 dito ",Object(m.b)("strong",{parentName:"p"},"inst\xe1vel"),". Em contrapartida, caso as vari\xe1veis de estado dos elementos do sistema oscilem ap\xf3s uma perturba\xe7\xe3o e se estabele\xe7am em um novo ponto de opera\xe7\xe3o, mesmo que distinto dos valores iniciais, o sistema \xe9 considerado ",Object(m.b)("strong",{parentName:"p"},"est\xe1vel"),"."),Object(m.b)("h2",{id:"execu\xe7\xe3o-do-estudo-de-estabilidade-no-psp-ufu"},"Execu\xe7\xe3o do estudo de estabilidade no PSP-UFU"),Object(m.b)("p",null,"Ap\xf3s a constru\xe7\xe3o do diagrama unifilar no ",Object(m.b)("a",{parentName:"p",href:"powerEditor"},"editor de pot\xeancia"),", assim como os ",Object(m.b)("a",{parentName:"p",href:"controlEditor"},"controles")," das ",Object(m.b)("a",{parentName:"p",href:"syncGenerator"},"m\xe1quinas s\xedncronas"),", a execu\xe7\xe3o da estabilidade \xe9 realizada no ",Object(m.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"menu Simula\xe7\xe3o")," clicando no \xedcone do bot\xe3o ",Object(m.b)("strong",{parentName:"p"},"Executar Estabilidade"),'. Ao clicar na parte inferior do bot\xe3o "Executar Estabilidade" ser\xe1 exibido um menu suspenso com a op\xe7\xe3o ',Object(m.b)("strong",{parentName:"p"},"Lista de eventos de estabilidade"),"."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(r.a)("images/menuSimulationStability.svg"),alt:"Menu Simula\xe7\xe3o",title:"Menu Simula\xe7\xe3o"}))),Object(m.b)("p",null,"Ao executar o c\xe1lculo de estabilidade, uma caixa com o status do processo de simula\xe7\xe3o ser\xe1 exibida, indicando primeiramente a inicializa\xe7\xe3o do estudo e posteriormente o tempo de simula\xe7\xe3o calculado."),Object(m.b)("p",null,"Ao clicar na lista de eventos de estabilidade, ser\xe1 exibida uma janela com a descri\xe7\xe3o dos eventos de estabilidade inseridos."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(r.a)("images/stabList.png"),alt:"Lista de eventos de estabilidade",title:"Lista de eventos de estabilidade"}))),Object(m.b)("h3",{id:"inserindo-um-evento-de-estabilidade"},"Inserindo um evento de estabilidade"),Object(m.b)("p",null,"Os dist\xfarbios mais comuns aplicados em estudos de estabilidade transit\xf3ria s\xe3o faltas e chaveamentos. Tais opera\xe7\xf5es s\xe3o facilmente realizadas no PSP-UFU:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Faltas"),": Curtos-circuitos trif\xe1sicos podem ser inseridos nos ",Object(m.b)("a",{parentName:"p",href:"bus"},"barramentos")," do sistema por meio da inclus\xe3o da imped\xe2ncia de falta na matriz admit\xe2ncia de barras da mesma maneira realizada em um elemento ",Object(m.b)("em",{parentName:"p"},"shunt"),". Tal valor \xe9 definido pelo usu\xe1rio e caso seja um curto-circuito franco, um valor n\xe3o nulo, mas suficientemente pr\xf3ximo de zero, \xe9 aplicado, de forma que a tens\xe3o no barramento \xe9 levada a zero durante o dist\xfarbio.")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Chaveamento de ramo"),": Da mesma forma que as faltas, o chaveamento de ramos \xe9 realizado por meio da altera\xe7\xe3o na matriz admit\xe2ncia, removendo ou inserindo os par\xe2metros do elemento a ser chaveado.\nCada ",Object(m.b)("a",{parentName:"p",href:"powerEditor"},"elemento de pot\xeancia"),' possui um bot\xe3o de "Chaveamento" ou "Estabilidade", em que pode ser inserido os tempos de remo\xe7\xe3o e/ou inser\xe7\xe3o do componente.')),Object(m.b)("li",{parentName:"ul"},Object(m.b)("p",{parentName:"li"},Object(m.b)("strong",{parentName:"p"},"Chaveamento de m\xe1quinas"),": A remo\xe7\xe3o de uma m\xe1quina s\xedncrona \xe9 efetivada com a retirada de sua participa\xe7\xe3o no vetor de correntes, al\xe9m da remo\xe7\xe3o de sua admit\xe2ncia fict\xedcia.\nAssim como os ",Object(m.b)("a",{parentName:"p",href:"powerEditor"},"elementos de pot\xeancia"),", as ",Object(m.b)("a",{parentName:"p",href:"syncGenerator"},"m\xe1quinas s\xedncronas"),' possui um bot\xe3o "Chaveamento", em que pode ser inserido os tempos de remo\xe7\xe3o e/ou inser\xe7\xe3o do componente.'),Object(m.b)("div",{parentName:"li",className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Mesmo que removida da barra, os par\xe2metros das ",Object(m.b)("a",{parentName:"p",href:"syncGenerator"},"m\xe1quinas s\xedncronas")," continuam a ser calculados com a corrente do estator nula, podendo fornecer resultados em uma eventual reconex\xe3o."))))),Object(m.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Eventos nos ",Object(m.b)("strong",{parentName:"p"},"sistemas de controle")," podem ser facilmente introduzidos com o bloco de ",Object(m.b)("a",{parentName:"p",href:"mathExpression"},"express\xe3o matem\xe1tica"),". Nesse caso, tais eventos ",Object(m.b)("strong",{parentName:"p"},"n\xe3o")," ser\xe3o exibidos na lista de eventos de estabilidade."))),Object(m.b)("h3",{id:"erros-comuns-na-execu\xe7\xe3o-do-estudo-de-estabilidade"},"Erros comuns na execu\xe7\xe3o do estudo de estabilidade"),Object(m.b)("p",null,"A seguir s\xe3o apresentados os erros mais comuns relacionados ao estudo de estabilidade."),Object(m.b)("h4",{id:"a-seguinte-mensagem-de-erro-\xe9-exibida-n\xe3o-foi-poss\xedvel-construir-a-matriz-admit\xe2ncia"},'A seguinte mensagem de erro \xe9 exibida: "N\xe3o foi poss\xedvel construir a matriz admit\xe2ncia"'),Object(m.b)("p",null,"Essa mensagem de erro \xe9 exibida quando n\xe3o \xe9 poss\xedvel construir a matriz admit\xe2ncia de barras. As seguintes situa\xe7\xf5es podem ocasionar esse erro:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Os par\xe2metros do circuito est\xe3o incorretos"),". Caso par\xe2metros muito fora dos valores padr\xe3o dos elementos el\xe9tricos sejam inseridos, o c\xe1lculo de fluxo de carga pode divergir. Verifique se os dados foram inseridos corretamente."),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Algum barramento est\xe1 isolado"),". Esse erro \xe9 bastante comum e pode ocorrer ao inserir um barramento sem conect\xe1-lo ao sistema ou ao remover os elementos de ramo que conectam uma barra ao sistema. A solu\xe7\xe3o \xe9 eliminar essa barra do diagrama."),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Algum elemento possui par\xe2metros discrepantes dos demais"),". Caso um dos elementos inseridos possua um valor de imped\xe2ncia muito distinto dos demais, como por exemplo uma linha com imped\xe2ncia muito elevada ou uma carga muito pequena, pode levar \xe0 diverg\xeancia do m\xe9todo num\xe9rico. Nesse caso, reconsidere a necessidade de representa\xe7\xe3o desses elementos no circuito e alterne entre os m\xe9todos num\xe9ricos de solu\xe7\xe3o dispon\xedveis.")),Object(m.b)("h4",{id:"a-seguinte-mensagem-de-erro-\xe9-exibida-erro-ao-inicializar-os-valores-de-satura\xe7\xe3o-do"},'A seguinte mensagem de erro \xe9 exibida: "Erro ao inicializar os valores de satura\xe7\xe3o do..."'),Object(m.b)("p",null,"Essa mensagem de erro \xe9 exibida quando n\xe3o \xe9 poss\xedvel calcular os fatores de satura\xe7\xe3o da ",Object(m.b)("a",{parentName:"p",href:"syncGenerator"},"m\xe1quina s\xedncrona"),". As seguintes situa\xe7\xf5es podem ocasionar esse erro:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"O fator de satura\xe7\xe3o \xe9 menor que 1,2"),". Esse valor deve ser maior que 1,2, ou ir\xe1 gerar erros na simula\xe7\xe3o. Caso n\xe3o seja informado, a satura\xe7\xe3o da m\xe1quina n\xe3o \xe9 considerada nos c\xe1lculos."),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Os par\xe2metros da m\xe1quina s\xedncrona est\xe3o incorretos"),". Caso par\xe2metros muito fora dos valores padr\xe3o das m\xe1quinas s\xedncronas sejam inseridos, o c\xe1lculo dos fatores de satura\xe7\xe3o pode divergir. Verifique se os dados foram inseridos corretamente.")),Object(m.b)("h4",{id:"a-seguinte-mensagem-de-erro-\xe9-exibida-erro-ao-inicializar-o-avr--regulador-de-velocidade"},'A seguinte mensagem de erro \xe9 exibida: "Erro ao inicializar o AVR / regulador de velocidade..."'),Object(m.b)("p",null,"Essa mensagem de erro \xe9 exibida quando n\xe3o \xe9 poss\xedvel ",Object(m.b)("a",{parentName:"p",href:"controlEditor#inicializa%C3%A7%C3%A3o-do-sistema-de-controle"},"inicializar o sistema de controle")," de uma ",Object(m.b)("a",{parentName:"p",href:"syncGenerator"},"m\xe1quina s\xedncrona"),". As seguintes situa\xe7\xf5es podem ocasionar esse erro:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"O sistema de controle est\xe1 vazio"),". Caso esteja habilitado o AVR e/ou o regulador de velocidade e o controle n\xe3o foi inserido, esse erro pode ser acionado. Insira o controle da m\xe1quina ou desmarque a op\xe7\xe3o de utiliza\xe7\xe3o do AVR e/ou regulador de velocidade."),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"O sistema de controle n\xe3o possui ao menos uma entrada e uma sa\xedda"),". O sistema de controle deve ter ao menos uma ",Object(m.b)("a",{parentName:"li",href:"io"},"entrada e uma sa\xedda"),", caso contr\xe1rio apresentar\xe1 erro de execu\xe7\xe3o."),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"O passo de integra\xe7\xe3o est\xe1 muito pequeno"),". Caso o passo de integra\xe7\xe3o esteja muito pequeno, os c\xe1lculos gerar\xe3o erros e ir\xe3o divergir. Reduza o passo de integra\xe7\xe3o nas ",Object(m.b)("a",{parentName:"li",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o"),".")),Object(m.b)("h4",{id:"a-seguinte-mensagem-de-erro-\xe9-exibida-imposs\xedvel-resolver-as-m\xe1quinas-do-sistema"},'A seguinte mensagem de erro \xe9 exibida: "Imposs\xedvel resolver as m\xe1quinas do sistema"'),Object(m.b)("p",null,"Essa mensagem de erro \xe9 exibida quando n\xe3o \xe9 poss\xedvel resolver as EADs das m\xe1quinas s\xedncronas inseridas no sistemas. As seguintes situa\xe7\xf5es podem ocasionar esse erro:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Os par\xe2metros da m\xe1quina s\xedncrona est\xe3o incorretos"),". Caso par\xe2metros muito fora dos valores padr\xe3o das m\xe1quinas s\xedncronas sejam inseridos, o c\xe1lculo das EADs pode se tornar imposs\xedvel. Verifique se os dados foram inseridos corretamente."),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"O passo de integra\xe7\xe3o est\xe1 muito pequeno"),". Caso o passo de integra\xe7\xe3o esteja muito pequeno, os c\xe1lculos gerar\xe3o erros e ir\xe3o divergir. Reduza o passo de integra\xe7\xe3o nas ",Object(m.b)("a",{parentName:"li",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o"),"."),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Os par\xe2metros do circuito est\xe3o incorretos"),". Caso par\xe2metros muito fora dos valores padr\xe3o dos elementos el\xe9tricos sejam inseridos, o c\xe1lculo de fluxo de carga pode divergir. Verifique se os dados foram inseridos corretamente."),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Algum barramento est\xe1 isolado"),". Esse erro \xe9 bastante comum e pode ocorrer ao inserir um barramento sem conect\xe1-lo ao sistema ou ao remover os elementos de ramo que conectam uma barra ao sistema. A solu\xe7\xe3o \xe9 eliminar essa barra do diagrama."),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Algum elemento possui par\xe2metros discrepantes dos demais"),". Caso um dos elementos inseridos possua um valor de imped\xe2ncia muito distinto dos demais, como por exemplo uma linha com imped\xe2ncia muito elevada ou uma carga muito pequena, pode levar \xe0 diverg\xeancia do m\xe9todo num\xe9rico. Nesse caso, reconsidere a necessidade de representa\xe7\xe3o desses elementos no circuito e alterne entre os m\xe9todos num\xe9ricos de solu\xe7\xe3o dispon\xedveis.")),Object(m.b)("h4",{id:"a-seguinte-mensagem-de-erro-\xe9-exibida-erro-ao-inicializar-o-escorregamento-do-motor"},'A seguinte mensagem de erro \xe9 exibida: "Erro ao inicializar o escorregamento do motor..."'),Object(m.b)("p",null,"Essa mensagem de erro \xe9 exibida quando n\xe3o \xe9 poss\xedvel calcular o valor de escorregamento inicial do motor de indu\xe7\xe3o. As seguintes situa\xe7\xf5es podem ocasionar esse erro:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Os par\xe2metros de estabilidade do motor est\xe3o incorretos"),". Caso par\xe2metros muito fora dos valores padr\xe3o dos motores de indu\xe7\xe3o sejam inseridos, o c\xe1lculo do escorregamento pode se tornar imposs\xedvel. Verifique se os dados foram inseridos corretamente.")),Object(m.b)("h2",{id:"estrutura-da-ferramenta-de-estabilidade"},"Estrutura da ferramenta de estabilidade"),Object(m.b)("p",null,"A estabilidade de um SEP \xe9 um problema din\xe2mico e necessita de modelos mais elaborados de elementos de pot\xeancia comparados \xe0queles apresentados nos outros estudos. Esses modelos s\xe3o descritos individualmente, com destaque \xe0s ",Object(m.b)("a",{parentName:"p",href:"syncGenerator#gerador-s%C3%ADncrono-no-estudo-de-estabilidade"},"m\xe1quinas s\xedncronas"),", ",Object(m.b)("a",{parentName:"p",href:"load#carga-no-estudo-de-estabilidade"},"cargas ZIP")," e ",Object(m.b)("a",{parentName:"p",href:"indMotor#motor-de-indu%C3%A7%C3%A3o-trif%C3%A1sico-no-estudo-de-estabilidade"},"motores de indu\xe7\xe3o"),"."),Object(m.b)("p",null,"A representa\xe7\xe3o dos demais componentes do sistema el\xe9trico: ",Object(m.b)("a",{parentName:"p",href:"line"},"linhas de transmiss\xe3o"),", ",Object(m.b)("a",{parentName:"p",href:"transformer"},"transformadores")," e elementos ",Object(m.b)("em",{parentName:"p"},"shunt")," (com exce\xe7\xe3o de cargas ZIP), que formam a rede de transmiss\xe3o ou distribui\xe7\xe3o balanceada, \xe9 realizada utilizando os mesmos modelos do ",Object(m.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga"),"."),Object(m.b)("p",null,"Os modelos din\xe2micos para a an\xe1lise no dom\xednio do tempo s\xe3o na forma de um sistema de equa\xe7\xf5es alg\xe9brico-diferenciais (EADs), descritas a seguir:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"x")),Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"t"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mi",{parentName:"mrow"},"f"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"x"),Object(m.b)("mo",{parentName:"mrow",separator:"true"},","),Object(m.b)("mi",{parentName:"mrow"},"y"),Object(m.b)("mo",{parentName:"mrow",separator:"true"},","),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"),Object(m.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(m.b)("mi",{parentName:"mrow"},"g"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mi",{parentName:"mrow"},"f"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"x"),Object(m.b)("mo",{parentName:"mrow",separator:"true"},","),Object(m.b)("mi",{parentName:"mrow"},"y"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dfrac{dx}{dt}= f(x,y,u)\\\\ g = f(x,y)")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.05744em",verticalAlign:"-0.686em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.37144em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(m.b)("span",{parentName:"span",className:"mopen"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"mpunct"},","),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"mpunct"},","),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mclose"},")")),Object(m.b)("span",{parentName:"span",className:"mspace newline"}),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"g"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(m.b)("span",{parentName:"span",className:"mopen"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"mpunct"},","),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"mclose"},")")))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"x")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"))))),"\ts\xe3o as vari\xe1veis de estado"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"y")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))))),"\ts\xe3o as vari\xe1veis de alg\xe9bricas"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"u")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"u")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"))))),"\ts\xe3o as vari\xe1veis de entrada")),Object(m.b)("p",null,"As vari\xe1veis de entrada s\xe3o inseridas pelo usu\xe1rio e permanecem constantes durante todo o processo de c\xe1lculo. Para o problema de estabilidade, as vari\xe1veis alg\xe9bricas iniciais correspondem \xe0s tens\xf5es e \xe2ngulos das barras calculadas no ",Object(m.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga"),". As vari\xe1veis de estado iniciais s\xe3o estimadas ap\xf3s a converg\xeancia do fluxo de pot\xeancia (inicializa\xe7\xe3o dos elementos din\xe2micos)."),Object(m.b)("p",null,"Na sequ\xeancia \xe9 apresentado, na forma de fluxogramas, a estrutura do m\xf3dulo de estabilidade implementado no PSP-UFU. O fluxograma abaixo mostra a estrutura geral da ferramenta de estabilidade."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(r.a)("images/stabGeneral.svg"),alt:"Estrutura geral da ferramenta de estabilidade",title:"Estrutura geral da ferramenta de estabilidade"}))),Object(m.b)("p",null,"A inicializa\xe7\xe3o da rede el\xe9trica e dos elementos din\xe2micos, assim como o precesso iterativo para solu\xe7\xe3o das EADs s\xe3o apresentados nos dois fluxogramas conseguintes."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(r.a)("images/stabInit.svg"),alt:"Inicializa\xe7\xe3o da ferramenta de estabilidade",title:"Inicializa\xe7\xe3o da ferramenta de estabilidade"}))),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(r.a)("images/stabIterative.svg"),alt:"Processo iterativo para c\xe1lculo dos elementos din\xe2micos",title:"Estrutura geral da ferramenta de estabilidade"}))),Object(m.b)("h3",{id:"integra\xe7\xe3o-num\xe9rica"},"Integra\xe7\xe3o num\xe9rica"),Object(m.b)("p",null,"Para resolver as equa\xe7\xf5es diferenciais da m\xe1quina \xe9 necess\xe1rio um m\xe9todo de integra\xe7\xe3o num\xe9rica. Tais m\xe9todos s\xe3o classificados em dois grupos: m\xe9todos expl\xedcitos e m\xe9todos impl\xedcitos. Os m\xe9todos expl\xedcitos, devido \xe0 sua formula\xe7\xe3o, calculam diretamente o estado do sistema em um instante de tempo posterior, enquanto m\xe9todos impl\xedcitos envolvem estados atuais e posteriores em suas equa\xe7\xf5es, exigindo, portanto, um processo iterativo."),Object(m.b)("p",null,"As constantes de tempo presentes no estudo de estabilidade t\xeam uma grande varia\xe7\xe3o em seu valor (podem variar de ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mn",{parentName:"msup"},"0"),Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"3"))),Object(m.b)("mtext",{parentName:"mrow"},"\xa0"),Object(m.b)("mi",{parentName:"mrow"},"s")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"10^{-3}~s")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8141079999999999em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"3"))))))))),Object(m.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"s")))))," a ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"10"),Object(m.b)("mtext",{parentName:"mrow"},"\xa0"),Object(m.b)("mi",{parentName:"mrow"},"s")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"10~s")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"s"))))),"). Isso torna o sistema de equa\xe7\xf5es diferenciais da m\xe1quina s\xedncrona como um sistema r\xedgido (",Object(m.b)("em",{parentName:"p"},Object(m.b)("a",{parentName:"em",href:"https://en.wikipedia.org/wiki/Stiff_equation"},"stiff equation")),"). Caso a an\xe1lise da estabilidade num\xe9rica tanto das equa\xe7\xf5es diferenciais r\xedgidas quanto do m\xe9todo de integra\xe7\xe3o obtenham o mesmo comportamento, o m\xe9todo \xe9 chamado de absolutamente est\xe1vel, ou A-est\xe1vel."),Object(m.b)("p",null,"M\xe9todos de integra\xe7\xe3o num\xe9rica expl\xedcitos, como por exemplo o ",Object(m.b)("a",{parentName:"p",href:"https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods"},"Runge-Kutta")," de quarta ordem, n\xe3o podem ser A-est\xe1veis e, portanto, normalmente possuem comportamento ruim em problemas com equa\xe7\xf5es diferenciais r\xedgidas. Por outro lado, m\xe9todos impl\xedcitos podem ser A-est\xe1veis. Um m\xe9todo impl\xedcito adequado para solu\xe7\xe3o do comportamento din\xe2mico de sistemas el\xe9tricos \xe9 o ",Object(m.b)("strong",{parentName:"p"},"Trapezoidal Impl\xedcito"),", por possuir as seguintes vantagens:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},"\xc9 numericamente est\xe1vel (A-est\xe1vel);"),Object(m.b)("li",{parentName:"ul"},"\xc9 bastante r\xe1pida;"),Object(m.b)("li",{parentName:"ul"},"Possui boa precis\xe3o (dependendo somente do passo de integra\xe7\xe3o utilizado).")),Object(m.b)("p",null,"Tal m\xe9todo foi implementado no PSP-UFU tanto para solu\xe7\xe3o das equa\xe7\xf5es diferenciais da m\xe1quina s\xedncrona quanto nas ",Object(m.b)("a",{parentName:"p",href:"transferFunction"},"fun\xe7\xf5es transfer\xeancia")," do ",Object(m.b)("a",{parentName:"p",href:"controlEditor"},"sistema de controle"),". Sua formula\xe7\xe3o \xe9 dada pela seguinte express\xe3o:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mi",{parentName:"msub"},"n")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"5"),Object(m.b)("mi",{parentName:"mrow"},"h"),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"y"),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1")),Object(m.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"y"),Object(m.b)("mi",{parentName:"msubsup"},"n"),Object(m.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_{n+1}=y_n + 0{,}5 h \\left(y_{n+1}' + y_{n}' \\right)")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.638891em",verticalAlign:"-0.208331em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.7777700000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.20001em",verticalAlign:"-0.35001em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"5"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.801892em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.1130000000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.305331em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8018919999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size1"},")")))))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"h")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"h")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.69444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"))))),"\t\xe9 o passo de integra\xe7\xe3o"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\t\xe9 o valor do estado no passo anterior (instante ",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"t"),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"t_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.76508em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),")"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_{n+1}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.638891em",verticalAlign:"-0.208331em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\t\xe9 o valor do estado no passo atual (instante ",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"t"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"t_{n+1}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8234109999999999em",verticalAlign:"-0.208331em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.301108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.208331em"}},Object(m.b)("span",{parentName:"span"})))))))))),")"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"y"),Object(m.b)("mi",{parentName:"msubsup"},"n"),Object(m.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_{n}'")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.998892em",verticalAlign:"-0.247em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\t\xe9 a equa\xe7\xe3o diferencial no passo anterior"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"y"),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1")),Object(m.b)("mo",{parentName:"msubsup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"y_{n+1}'")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.058331em",verticalAlign:"-0.30643899999999996em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.451892em",marginLeft:"-0.03588em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30643899999999996em"}},Object(m.b)("span",{parentName:"span"})))))))))),"\t\xe9 a equa\xe7\xe3o diferencial no passo atual")),Object(m.b)("p",null,"Nota-se nessa equa\xe7\xe3o que o m\xe9todo \xe9 impl\xedcito devido ao termo ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"n+1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.66666em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"n"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1")))))," aparecer em ambos os lados da equa\xe7\xe3o, por isso \xe9 necess\xe1rio um processo iterativo para sua solu\xe7\xe3o."),Object(m.b)("h2",{id:"refer\xeancias"},"Refer\xeancias"),Object(m.b)("ol",null,Object(m.b)("li",{parentName:"ol"},"MILANO, F. Power System Modelling and Scripting. London: Springer, 2010. doi: ",Object(m.b)("a",{parentName:"li",href:"https://doi.org/10.1007/978-3-642-13669-6"},"https://doi.org/10.1007/978-3-642-13669-6")),Object(m.b)("li",{parentName:"ol"},"KUNDUR, P.; et al. Definition and classification of power system stability. IEEE Transactions Power Systems, v. 19, n. 2, mai 2004, p. 1387-1401. doi: ",Object(m.b)("a",{parentName:"li",href:"https://doi.org/10.1109/TPWRS.2004.825981"},"https://doi.org/10.1109/TPWRS.2004.825981")),Object(m.b)("li",{parentName:"ol"},"ARRILLAGA, J.; WATSON, N. R. Computer Modelling of Electrical Power Systems. Wiley & Sons, New York, 2001. doi: ",Object(m.b)("a",{parentName:"li",href:"https://doi.org/10.1002/9781118878286"},"https://doi.org/10.1002/9781118878286")),Object(m.b)("li",{parentName:"ol"},"PARK, R. H. Two-reactions Theory of Synchronous Machine. Generalized Method of Analysis \u2013 Part I. AIEE Transactions, v. 48, n. 3, jul 1929. doi: ",Object(m.b)("a",{parentName:"li",href:"https://doi.org/10.1109/T-AIEE.1929.5055275"},"https://doi.org/10.1109/T-AIEE.1929.5055275")),Object(m.b)("li",{parentName:"ol"},"ANDERSON, P. M.; FOUAD, A. A. Power System Control and Stability. Wiley-IEEE Press, New York, 2002. doi: ",Object(m.b)("a",{parentName:"li",href:"https://doi.org/10.1109/9780470545577"},"https://doi.org/10.1109/9780470545577")),Object(m.b)("li",{parentName:"ol"},"SAUER, P. W.; PAI, M. A. Power System Dynamics and Stability. Pretience Hall, Upper Saddle River, 1998."),Object(m.b)("li",{parentName:"ol"},"KUNDUR, P. Power System Stability and Control. McGraw-Hill, New York, 1994."),Object(m.b)("li",{parentName:"ol"},"DOMMEL, H. W.; SATO, N. Fast Transient Stability Solutions. IEEE Transactions on Power Aparatus and Systems, v. PAS-91, n. 4, jul 1972, p. 1643-1650. doi: ",Object(m.b)("a",{parentName:"li",href:"https://doi.org/10.1109/TPAS.1972.293341"},"https://doi.org/10.1109/TPAS.1972.293341"))))}b.isMDXComponent=!0},140:function(e,a,t){"use strict";t.d(a,"a",(function(){return b})),t.d(a,"b",(function(){return N}));var s=t(0),n=t.n(s);function m(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function r(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(e);a&&(s=s.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,s)}return t}function p(e){for(var a=1;a<arguments.length;a++){var t=null!=arguments[a]?arguments[a]:{};a%2?r(Object(t),!0).forEach((function(a){m(e,a,t[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):r(Object(t)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(t,a))}))}return e}function o(e,a){if(null==e)return{};var t,s,n=function(e,a){if(null==e)return{};var t,s,n={},m=Object.keys(e);for(s=0;s<m.length;s++)t=m[s],a.indexOf(t)>=0||(n[t]=e[t]);return n}(e,a);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(e);for(s=0;s<m.length;s++)t=m[s],a.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(n[t]=e[t])}return n}var i=n.a.createContext({}),c=function(e){var a=n.a.useContext(i),t=a;return e&&(t="function"==typeof e?e(a):p(p({},a),e)),t},b=function(e){var a=c(e.components);return n.a.createElement(i.Provider,{value:a},e.children)},l={inlineCode:"code",wrapper:function(e){var a=e.children;return n.a.createElement(n.a.Fragment,{},a)}},d=n.a.forwardRef((function(e,a){var t=e.components,s=e.mdxType,m=e.originalType,r=e.parentName,i=o(e,["components","mdxType","originalType","parentName"]),b=c(t),d=s,N=b["".concat(r,".").concat(d)]||b[d]||l[d]||m;return t?n.a.createElement(N,p(p({ref:a},i),{},{components:t})):n.a.createElement(N,p({ref:a},i))}));function N(e,a){var t=arguments,s=a&&a.mdxType;if("string"==typeof e||s){var m=t.length,r=new Array(m);r[0]=d;var p={};for(var o in a)hasOwnProperty.call(a,o)&&(p[o]=a[o]);p.originalType=e,p.mdxType="string"==typeof e?e:s,r[1]=p;for(var i=2;i<m;i++)r[i]=t[i];return n.a.createElement.apply(null,r)}return n.a.createElement.apply(null,t)}d.displayName="MDXCreateElement"},141:function(e,a,t){"use strict";t.d(a,"b",(function(){return m})),t.d(a,"a",(function(){return r}));var s=t(16),n=t(142);function m(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(s.default)();return{withBaseUrl:(t,s)=>function(e,a,t,{forcePrependBaseUrl:s=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(s)return a+t;const r=t.startsWith(a)?t:a+t.replace(/^\//,"");return m?e+r:r}(a,e,t,s)}}function r(e,a={}){const{withBaseUrl:t}=m();return t(e,a)}},142:function(e,a,t){"use strict";function s(e){return!0===/^(\w*:|\/\/)/.test(e)}function n(e){return void 0!==e&&!s(e)}t.d(a,"b",(function(){return s})),t.d(a,"a",(function(){return n}))},143:function(e,a,t){"use strict";function s(e){var a,t,n="";if("string"==typeof e||"number"==typeof e)n+=e;else if("object"==typeof e)if(Array.isArray(e))for(a=0;a<e.length;a++)e[a]&&(t=s(e[a]))&&(n&&(n+=" "),n+=t);else for(a in e)e[a]&&(n&&(n+=" "),n+=a);return n}a.a=function(){for(var e,a,t=0,n="";t<arguments.length;)(e=arguments[t++])&&(a=s(e))&&(n&&(n+=" "),n+=a);return n}},144:function(e,a,t){"use strict";var s=t(0),n=t(145);a.a=function(){const e=Object(s.useContext)(n.a);if(null==e)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return e}},145:function(e,a,t){"use strict";var s=t(0);const n=Object(s.createContext)(void 0);a.a=n},146:function(e,a,t){"use strict";var s=t(0),n=t.n(s),m=t(144),r=t(143),p=t(56),o=t.n(p);const i=37,c=39;a.a=function(e){const{lazy:a,block:t,defaultValue:p,values:b,groupId:l,className:d}=e,{tabGroupChoices:N,setTabGroupChoices:u}=Object(m.a)(),[O,j]=Object(s.useState)(p),h=s.Children.toArray(e.children),g=[];if(null!=l){const e=N[l];null!=e&&e!==O&&b.some((a=>a.value===e))&&j(e)}const v=e=>{const a=e.target,t=g.indexOf(a),s=h[t].props.value;j(s),null!=l&&(u(l,s),setTimeout((()=>{(function(e){const{top:a,left:t,bottom:s,right:n}=e.getBoundingClientRect(),{innerHeight:m,innerWidth:r}=window;return a>=0&&n<=r&&s<=m&&t>=0})(a)||(a.scrollIntoView({block:"center",behavior:"smooth"}),a.classList.add(o.a.tabItemActive),setTimeout((()=>a.classList.remove(o.a.tabItemActive)),2e3))}),150))},f=e=>{var a;let t;switch(e.keyCode){case c:const a=g.indexOf(e.target)+1;t=g[a]||g[0];break;case i:const s=g.indexOf(e.target)-1;t=g[s]||g[g.length-1]}null===(a=t)||void 0===a||a.focus()};return n.a.createElement("div",{className:"tabs-container"},n.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(r.a)("tabs",{"tabs--block":t},d)},b.map((({value:e,label:a})=>n.a.createElement("li",{role:"tab",tabIndex:O===e?0:-1,"aria-selected":O===e,className:Object(r.a)("tabs__item",o.a.tabItem,{"tabs__item--active":O===e}),key:e,ref:e=>g.push(e),onKeyDown:f,onFocus:v,onClick:v},a)))),a?Object(s.cloneElement)(h.filter((e=>e.props.value===O))[0],{className:"margin-vert--md"}):n.a.createElement("div",{className:"margin-vert--md"},h.map(((e,a)=>Object(s.cloneElement)(e,{key:a,hidden:e.props.value!==O})))))}},147:function(e,a,t){"use strict";var s=t(0),n=t.n(s);a.a=function({children:e,hidden:a,className:t}){return n.a.createElement("div",{role:"tabpanel",hidden:a,className:t},e)}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/9e083272.c00d6658.js b/docs/assets/js/9e083272.c00d6658.js
new file mode 100644
index 0000000..ffeadc9
--- /dev/null
+++ b/docs/assets/js/9e083272.c00d6658.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[36],{109:function(e,t,a){"use strict";a.r(t),a.d(t,"frontMatter",(function(){return l})),a.d(t,"metadata",(function(){return p})),a.d(t,"toc",(function(){return m})),a.d(t,"default",(function(){return d}));var r=a(3),n=a(7),o=(a(0),a(140)),i=a(141),c=a(146),s=a(147),l={id:"capacitor",title:"Capacitor",sidebar_label:"Capacitor"},p={unversionedId:"capacitor",id:"capacitor",isDocsHomePage:!1,title:"Capacitor",description:"Um dispositivo constitu\xeddo essencialmente por dois eletrodos separados por um diel\xe9trico. [tradu\xe7\xe3o livre - IEC 60050](",source:"@site/docs/capacitor.md",slug:"/capacitor",permalink:"/PSP/docs/capacitor",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/capacitor.md",version:"current",sidebar_label:"Capacitor",sidebar:"docs",previous:{title:"Carga",permalink:"/PSP/docs/load"},next:{title:"Indutor",permalink:"/PSP/docs/inductor"}},m=[{value:"Capacitor no PSP-UFU",id:"capacitor-no-psp-ufu",children:[]},{value:"Formul\xe1rio de edi\xe7\xe3o dos capacitores",id:"formul\xe1rio-de-edi\xe7\xe3o-dos-capacitores",children:[]}],u={toc:m};function d(e){var t=e.components,a=Object(n.a)(e,["components"]);return Object(o.b)("wrapper",Object(r.a)({},u,a,{components:t,mdxType:"MDXLayout"}),Object(o.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(o.b)("blockquote",null,Object(o.b)("p",{parentName:"blockquote"},"Um dispositivo constitu\xeddo essencialmente por dois eletrodos separados por um diel\xe9trico. ",Object(o.b)("a",{parentName:"p",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=436-01-03"},Object(o.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),".")),Object(o.b)("h2",{id:"capacitor-no-psp-ufu"},"Capacitor no PSP-UFU"),Object(o.b)("p",null,"O elemento capacitor representa, geralmente, um banco de capacitores ",Object(o.b)("em",{parentName:"p"},"shunt")," no circuito do PSP-UFU."),Object(o.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"Um arranjo s\xe9rie de uma ",Object(o.b)("a",{parentName:"p",href:"line"},"linha")," sem as suscept\xe2ncias ",Object(o.b)("em",{parentName:"p"},"shunt"),", um ",Object(o.b)("a",{parentName:"p",href:"bus"},"barramento")," e um ",Object(o.b)("a",{parentName:"p",href:"capacitor"},"capacitor")," pode ser utilizado para fabricar um filtro passivo nos ",Object(o.b)("a",{parentName:"p",href:"harmonics"},"estudos harm\xf4nicos"),". Em vers\xf5es futuras, um elemento de filtro passivo ser\xe1 implementado no PSP-UFU."))),Object(o.b)("p",null,"Os capacitores e reatores exigem somente sua pot\xeancia reativa como par\xe2metro. Esses elementos passivos s\xe3o somente inseridos na matriz admit\xe2ncia cuja imped\xe2ncia \xe9 calculada a partir de sua pot\xeancia e tens\xe3o nominais."),Object(o.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-dos-capacitores"},"Formul\xe1rio de edi\xe7\xe3o dos capacitores"),Object(o.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de inser\xe7\xe3o/altera\xe7\xe3o de dados dos capacitores:"),Object(o.b)("div",null,Object(o.b)("center",null,Object(o.b)("img",{src:Object(i.a)("images/capacitorForm.png"),alt:"Formul\xe1rio dos capacitores no PSP-UFU",title:"Formul\xe1rio dos capacitores no PSP-UFU"}))),Object(o.b)("p",null,'Al\xe9m do \xfanico contexto geral, pode ser observado o bot\xe3o "Estabilidade" na parte inferior esquerda do formul\xe1rio. Esse formul\xe1rio, comum a v\xe1rios outros elementos, permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do capacitor durante o estudo de ',Object(o.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(o.b)("div",null,Object(o.b)("center",null,Object(o.b)("img",{src:Object(i.a)("images/swCapacitor.png"),alt:"Formul\xe1rio de chaveamento do capacitor",title:"Formul\xe1rio de chaveamento do capacitor"}))),Object(o.b)(c.a,{groupId:"transformer-tabs",defaultValue:"general",values:[{label:"Geral",value:"general"},{label:"Bot\xe3o Estabilidade",value:"stability"}],mdxType:"Tabs"},Object(o.b)(s.a,{value:"general",mdxType:"TabItem"},Object(o.b)("h4",{id:"nome"},"Nome"),Object(o.b)("p",null,"Identifica\xe7\xe3o do elemento el\xe9trico. Podem ser inseridos quaisquer n\xfameros de caracteres no padr\xe3o ",Object(o.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Unicode"},"Unicode"),"."),Object(o.b)("p",null,"Todos os componentes de pot\xeancia do PSP-UFU possuem esse campo."),Object(o.b)("h4",{id:"pot\xeancia-reativa"},"Pot\xeancia reativa"),Object(o.b)("p",null,"Os capacitores e reatores exigem somente sua pot\xeancia reativa como par\xe2metro, inserida em Mvar, kvar, var ou ",Object(o.b)("span",{parentName:"p",className:"math math-inline"},Object(o.b)("span",{parentName:"span",className:"katex"},Object(o.b)("span",{parentName:"span",className:"katex-mathml"},Object(o.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(o.b)("semantics",{parentName:"math"},Object(o.b)("mrow",{parentName:"semantics"},Object(o.b)("mi",{parentName:"mrow"},"p"),Object(o.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(o.b)("mi",{parentName:"mrow"},"u"),Object(o.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(o.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(o.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(o.b)("span",{parentName:"span",className:"base"},Object(o.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(o.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(o.b)("span",{parentName:"span",className:"mord"},"."),Object(o.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(o.b)("span",{parentName:"span",className:"mord"},".")))))," (na base de pot\xeancia do sistema). ")),Object(o.b)(s.a,{value:"stability",mdxType:"TabItem"},Object(o.b)("p",null,'O bot\xe3o "Estabilidade" ir\xe1 abrir um formul\xe1rio, comum a v\xe1rios outros elementos, que permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do transformador durante o estudo de ',Object(o.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(o.b)("p",null,'Nesse formul\xe1rio pode ser criada uma lista gen\xe9rica de inser\xe7\xf5es e remo\xe7\xf5es da linha no tempo, personalizada por um contexto de propriedades de chaveamento que s\xe3o editados o tipo de chaveamento (inser\xe7\xe3o ou remo\xe7\xe3o) e o instante (em segundos) do evento. Essas propriedades s\xe3o atribu\xeddas e retiradas da lista gen\xe9rica por meio dos bot\xf5es "Adicionar" e "Remover", respectivamente.'))))}d.isMDXComponent=!0},140:function(e,t,a){"use strict";a.d(t,"a",(function(){return m})),a.d(t,"b",(function(){return b}));var r=a(0),n=a.n(r);function o(e,t,a){return t in e?Object.defineProperty(e,t,{value:a,enumerable:!0,configurable:!0,writable:!0}):e[t]=a,e}function i(e,t){var a=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),a.push.apply(a,r)}return a}function c(e){for(var t=1;t<arguments.length;t++){var a=null!=arguments[t]?arguments[t]:{};t%2?i(Object(a),!0).forEach((function(t){o(e,t,a[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(a)):i(Object(a)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(a,t))}))}return e}function s(e,t){if(null==e)return{};var a,r,n=function(e,t){if(null==e)return{};var a,r,n={},o=Object.keys(e);for(r=0;r<o.length;r++)a=o[r],t.indexOf(a)>=0||(n[a]=e[a]);return n}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(r=0;r<o.length;r++)a=o[r],t.indexOf(a)>=0||Object.prototype.propertyIsEnumerable.call(e,a)&&(n[a]=e[a])}return n}var l=n.a.createContext({}),p=function(e){var t=n.a.useContext(l),a=t;return e&&(a="function"==typeof e?e(t):c(c({},t),e)),a},m=function(e){var t=p(e.components);return n.a.createElement(l.Provider,{value:t},e.children)},u={inlineCode:"code",wrapper:function(e){var t=e.children;return n.a.createElement(n.a.Fragment,{},t)}},d=n.a.forwardRef((function(e,t){var a=e.components,r=e.mdxType,o=e.originalType,i=e.parentName,l=s(e,["components","mdxType","originalType","parentName"]),m=p(a),d=r,b=m["".concat(i,".").concat(d)]||m[d]||u[d]||o;return a?n.a.createElement(b,c(c({ref:t},l),{},{components:a})):n.a.createElement(b,c({ref:t},l))}));function b(e,t){var a=arguments,r=t&&t.mdxType;if("string"==typeof e||r){var o=a.length,i=new Array(o);i[0]=d;var c={};for(var s in t)hasOwnProperty.call(t,s)&&(c[s]=t[s]);c.originalType=e,c.mdxType="string"==typeof e?e:r,i[1]=c;for(var l=2;l<o;l++)i[l]=a[l];return n.a.createElement.apply(null,i)}return n.a.createElement.apply(null,a)}d.displayName="MDXCreateElement"},141:function(e,t,a){"use strict";a.d(t,"b",(function(){return o})),a.d(t,"a",(function(){return i}));var r=a(16),n=a(142);function o(){const{siteConfig:{baseUrl:e="/",url:t}={}}=Object(r.default)();return{withBaseUrl:(a,r)=>function(e,t,a,{forcePrependBaseUrl:r=!1,absolute:o=!1}={}){if(!a)return a;if(a.startsWith("#"))return a;if(Object(n.b)(a))return a;if(r)return t+a;const i=a.startsWith(t)?a:t+a.replace(/^\//,"");return o?e+i:i}(t,e,a,r)}}function i(e,t={}){const{withBaseUrl:a}=o();return a(e,t)}},142:function(e,t,a){"use strict";function r(e){return!0===/^(\w*:|\/\/)/.test(e)}function n(e){return void 0!==e&&!r(e)}a.d(t,"b",(function(){return r})),a.d(t,"a",(function(){return n}))},143:function(e,t,a){"use strict";function r(e){var t,a,n="";if("string"==typeof e||"number"==typeof e)n+=e;else if("object"==typeof e)if(Array.isArray(e))for(t=0;t<e.length;t++)e[t]&&(a=r(e[t]))&&(n&&(n+=" "),n+=a);else for(t in e)e[t]&&(n&&(n+=" "),n+=t);return n}t.a=function(){for(var e,t,a=0,n="";a<arguments.length;)(e=arguments[a++])&&(t=r(e))&&(n&&(n+=" "),n+=t);return n}},144:function(e,t,a){"use strict";var r=a(0),n=a(145);t.a=function(){const e=Object(r.useContext)(n.a);if(null==e)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return e}},145:function(e,t,a){"use strict";var r=a(0);const n=Object(r.createContext)(void 0);t.a=n},146:function(e,t,a){"use strict";var r=a(0),n=a.n(r),o=a(144),i=a(143),c=a(56),s=a.n(c);const l=37,p=39;t.a=function(e){const{lazy:t,block:a,defaultValue:c,values:m,groupId:u,className:d}=e,{tabGroupChoices:b,setTabGroupChoices:f}=Object(o.a)(),[O,v]=Object(r.useState)(c),j=r.Children.toArray(e.children),h=[];if(null!=u){const e=b[u];null!=e&&e!==O&&m.some((t=>t.value===e))&&v(e)}const g=e=>{const t=e.target,a=h.indexOf(t),r=j[a].props.value;v(r),null!=u&&(f(u,r),setTimeout((()=>{(function(e){const{top:t,left:a,bottom:r,right:n}=e.getBoundingClientRect(),{innerHeight:o,innerWidth:i}=window;return t>=0&&n<=i&&r<=o&&a>=0})(t)||(t.scrollIntoView({block:"center",behavior:"smooth"}),t.classList.add(s.a.tabItemActive),setTimeout((()=>t.classList.remove(s.a.tabItemActive)),2e3))}),150))},N=e=>{var t;let a;switch(e.keyCode){case p:const t=h.indexOf(e.target)+1;a=h[t]||h[0];break;case l:const r=h.indexOf(e.target)-1;a=h[r]||h[h.length-1]}null===(t=a)||void 0===t||t.focus()};return n.a.createElement("div",{className:"tabs-container"},n.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(i.a)("tabs",{"tabs--block":a},d)},m.map((({value:e,label:t})=>n.a.createElement("li",{role:"tab",tabIndex:O===e?0:-1,"aria-selected":O===e,className:Object(i.a)("tabs__item",s.a.tabItem,{"tabs__item--active":O===e}),key:e,ref:e=>h.push(e),onKeyDown:N,onFocus:g,onClick:g},t)))),t?Object(r.cloneElement)(j.filter((e=>e.props.value===O))[0],{className:"margin-vert--md"}):n.a.createElement("div",{className:"margin-vert--md"},j.map(((e,t)=>Object(r.cloneElement)(e,{key:t,hidden:e.props.value!==O})))))}},147:function(e,t,a){"use strict";var r=a(0),n=a.n(r);t.a=function({children:e,hidden:t,className:a}){return n.a.createElement("div",{role:"tabpanel",hidden:t,className:a},e)}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/a6aa9e1f.347c6ed8.js b/docs/assets/js/a6aa9e1f.347c6ed8.js
new file mode 100644
index 0000000..2ea536c
--- /dev/null
+++ b/docs/assets/js/a6aa9e1f.347c6ed8.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[37],{137:function(e,a,t){"use strict";t.r(a);var n=t(0),i=t.n(n),l=t(16),r=t(152),o=t(163),s=t(150),c=t(149);var m=function(e){const{metadata:a}=e,{previousPage:t,nextPage:n}=a;return i.a.createElement("nav",{className:"pagination-nav","aria-label":Object(c.b)({id:"theme.blog.paginator.navAriaLabel",message:"Blog list page navigation",description:"The ARIA label for the blog pagination"})},i.a.createElement("div",{className:"pagination-nav__item"},t&&i.a.createElement(s.a,{className:"pagination-nav__link",to:t},i.a.createElement("div",{className:"pagination-nav__label"},"\xab"," ",i.a.createElement(c.a,{id:"theme.blog.paginator.newerEntries",description:"The label used to navigate to the newer blog posts page (previous page)"},"Newer Entries")))),i.a.createElement("div",{className:"pagination-nav__item pagination-nav__item--next"},n&&i.a.createElement(s.a,{className:"pagination-nav__link",to:n},i.a.createElement("div",{className:"pagination-nav__label"},i.a.createElement(c.a,{id:"theme.blog.paginator.olderEntries",description:"The label used to navigate to the older blog posts page (next page)"},"Older Entries")," ","\xbb"))))},p=t(155);a.default=function(e){const{metadata:a,items:t,sidebar:n}=e,{siteConfig:{title:s}}=Object(l.default)(),{blogDescription:c,blogTitle:g,permalink:d}=a,v="/"===d?s:g;return i.a.createElement(r.a,{title:v,description:c,wrapperClassName:"blog-wrapper",searchMetadatas:{tag:"blog_posts_list"}},i.a.createElement("div",{className:"container margin-vert--lg"},i.a.createElement("div",{className:"row"},i.a.createElement("div",{className:"col col--3"},i.a.createElement(p.a,{sidebar:n})),i.a.createElement("main",{className:"col col--7"},t.map((({content:e})=>i.a.createElement(o.a,{key:e.metadata.permalink,frontMatter:e.frontMatter,metadata:e.metadata,truncated:e.metadata.truncated},i.a.createElement(e,null)))),i.a.createElement(m,{metadata:a})))))}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/a943de56.d6ef22ad.js b/docs/assets/js/a943de56.d6ef22ad.js
new file mode 100644
index 0000000..f8fe281
--- /dev/null
+++ b/docs/assets/js/a943de56.d6ef22ad.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[38],{110:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return i})),r.d(t,"metadata",(function(){return u})),r.d(t,"toc",(function(){return c})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),i={title:"2020w31a-beta",author:"Thales",author_title:"PhD",author_url:"https://github.com/thales1330",author_image_url:"https://avatars0.githubusercontent.com/u/16141330?s=460&v=4",tags:["psp-ufu"]},u={permalink:"/PSP/blog/2020/08/01/2020w31a-beta",editUrl:"https://github.com/Thales1330/PSP/tree/master/docs/blog/2020-08-01-2020w31a-beta.md",source:"@site/blog/2020-08-01-2020w31a-beta.md",description:"- \ud83d\udd25 PSP-UFU online user guide finally written (only in Brazilian Portuguese, if you want to help me translate this guide, contact-me on GitHub or Twitter);",date:"2020-08-01T00:00:00.000Z",formattedDate:"July 31, 2020",tags:[{label:"psp-ufu",permalink:"/PSP/blog/tags/psp-ufu"}],title:"2020w31a-beta",readingTime:.265,truncated:!1,nextItem:{title:"2020w28a-beta",permalink:"/PSP/blog/2020/07/09/2020w28a-beta"}},c=[],l={toc:c};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"\ud83d\udd25 PSP-UFU online user guide finally written (only in Brazilian Portuguese, if you want to help me translate this guide, contact-me on ",Object(o.b)("a",{parentName:"li",href:"https://github.com/Thales1330/PSP/issues"},"GitHub")," or ",Object(o.b)("a",{parentName:"li",href:"https://twitter.com/PspUfu"},"Twitter"),");"),Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f New fancy ",Object(o.b)("a",{parentName:"li",href:"https://thales1330.github.io/PSP/"},"PSP-UFU website")," and ",Object(o.b)("a",{parentName:"li",href:"https://thales1330.github.io/PSP/blog"},"changelog")," using ",Object(o.b)("a",{parentName:"li",href:"https://v2.docusaurus.io/"},"docusaurus"),";"),Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f Text element performance improved for OpenGL render;"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udc1b Several major and minor bug fixes.")))}p.isMDXComponent=!0},140:function(e,t,r){"use strict";r.d(t,"a",(function(){return s})),r.d(t,"b",(function(){return m}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function u(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?i(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):i(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function c(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):u(u({},t),e)),r},s=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},b={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},f=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,i=e.parentName,l=c(e,["components","mdxType","originalType","parentName"]),s=p(r),f=n,m=s["".concat(i,".").concat(f)]||s[f]||b[f]||o;return r?a.a.createElement(m,u(u({ref:t},l),{},{components:r})):a.a.createElement(m,u({ref:t},l))}));function m(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,i=new Array(o);i[0]=f;var u={};for(var c in t)hasOwnProperty.call(t,c)&&(u[c]=t[c]);u.originalType=e,u.mdxType="string"==typeof e?e:n,i[1]=u;for(var l=2;l<o;l++)i[l]=r[l];return a.a.createElement.apply(null,i)}return a.a.createElement.apply(null,r)}f.displayName="MDXCreateElement"}}]);
\ No newline at end of file
diff --git a/docs/assets/js/ad9b507e.4c9f04c1.js b/docs/assets/js/ad9b507e.4c9f04c1.js
new file mode 100644
index 0000000..4f35fb2
--- /dev/null
+++ b/docs/assets/js/ad9b507e.4c9f04c1.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[39],{111:function(e,t,a){"use strict";a.r(t),a.d(t,"frontMatter",(function(){return u})),a.d(t,"metadata",(function(){return l})),a.d(t,"toc",(function(){return d})),a.d(t,"default",(function(){return p}));var r=a(3),n=a(7),o=(a(0),a(140)),i=a(141),s=a(146),c=a(147),u={id:"inductor",title:"Indutor",sidebar_label:"Indutor"},l={unversionedId:"inductor",id:"inductor",isDocsHomePage:!1,title:"Indutor",description:"Um reator destinado \xe0 conex\xe3o de deriva\xe7\xe3o em uma rede para compensar a corrente capacitiva. [tradu\xe7\xe3o livre - IEC 60050](",source:"@site/docs/inductor.md",slug:"/inductor",permalink:"/PSP/docs/inductor",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/inductor.md",version:"current",sidebar_label:"Indutor",sidebar:"docs",previous:{title:"Capacitor",permalink:"/PSP/docs/capacitor"},next:{title:"Fonte de Corrente Harm\xf4nica",permalink:"/PSP/docs/harmSource"}},d=[{value:"Indutor no PSP-UFU",id:"indutor-no-psp-ufu",children:[]},{value:"Formul\xe1rio de edi\xe7\xe3o dos indutores",id:"formul\xe1rio-de-edi\xe7\xe3o-dos-indutores",children:[]}],m={toc:d};function p(e){var t=e.components,a=Object(n.a)(e,["components"]);return Object(o.b)("wrapper",Object(r.a)({},m,a,{components:t,mdxType:"MDXLayout"}),Object(o.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(o.b)("blockquote",null,Object(o.b)("p",{parentName:"blockquote"},"Um reator destinado \xe0 conex\xe3o de deriva\xe7\xe3o em uma rede para compensar a corrente capacitiva. ",Object(o.b)("a",{parentName:"p",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=421-01-03"},Object(o.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),".")),Object(o.b)("h2",{id:"indutor-no-psp-ufu"},"Indutor no PSP-UFU"),Object(o.b)("p",null,"O elemento indutor (ou reator) representa, geralmente, reator ",Object(o.b)("em",{parentName:"p"},"shunt")," no circuito do PSP-UFU."),Object(o.b)("p",null,"Os capacitores e reatores exigem somente sua pot\xeancia reativa como par\xe2metro. Esses elementos passivos s\xe3o somente inseridos na matriz admit\xe2ncia cuja imped\xe2ncia \xe9 calculada a partir de sua pot\xeancia e tens\xe3o nominais."),Object(o.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-dos-indutores"},"Formul\xe1rio de edi\xe7\xe3o dos indutores"),Object(o.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de inser\xe7\xe3o/altera\xe7\xe3o de dados dos indutores:"),Object(o.b)("div",null,Object(o.b)("center",null,Object(o.b)("img",{src:Object(i.a)("images/indForm.png"),alt:"Formul\xe1rio dos indutores no PSP-UFU",title:"Formul\xe1rio dos indutores no PSP-UFU"}))),Object(o.b)("p",null,'Al\xe9m do \xfanico contexto geral, pode ser observado o bot\xe3o "Estabilidade" na parte inferior esquerda do formul\xe1rio. Esse formul\xe1rio, comum a v\xe1rios outros elementos, permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do indutor durante o estudo de ',Object(o.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(o.b)("div",null,Object(o.b)("center",null,Object(o.b)("img",{src:Object(i.a)("images/indSw.png"),alt:"Formul\xe1rio de chaveamento do indutor",title:"Formul\xe1rio de chaveamento do indutor"}))),Object(o.b)(s.a,{groupId:"transformer-tabs",defaultValue:"general",values:[{label:"Geral",value:"general"},{label:"Bot\xe3o Estabilidade",value:"stability"}],mdxType:"Tabs"},Object(o.b)(c.a,{value:"general",mdxType:"TabItem"},Object(o.b)("h4",{id:"nome"},"Nome"),Object(o.b)("p",null,"Identifica\xe7\xe3o do elemento el\xe9trico. Podem ser inseridos quaisquer n\xfameros de caracteres no padr\xe3o ",Object(o.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Unicode"},"Unicode"),"."),Object(o.b)("p",null,"Todos os componentes de pot\xeancia do PSP-UFU possuem esse campo."),Object(o.b)("h4",{id:"pot\xeancia-reativa"},"Pot\xeancia reativa"),Object(o.b)("p",null,"Os capacitores e reatores exigem somente sua pot\xeancia reativa como par\xe2metro, inserida em Mvar, kvar, var ou ",Object(o.b)("span",{parentName:"p",className:"math math-inline"},Object(o.b)("span",{parentName:"span",className:"katex"},Object(o.b)("span",{parentName:"span",className:"katex-mathml"},Object(o.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(o.b)("semantics",{parentName:"math"},Object(o.b)("mrow",{parentName:"semantics"},Object(o.b)("mi",{parentName:"mrow"},"p"),Object(o.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(o.b)("mi",{parentName:"mrow"},"u"),Object(o.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(o.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(o.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(o.b)("span",{parentName:"span",className:"base"},Object(o.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(o.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(o.b)("span",{parentName:"span",className:"mord"},"."),Object(o.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(o.b)("span",{parentName:"span",className:"mord"},".")))))," (na base de pot\xeancia do sistema). ")),Object(o.b)(c.a,{value:"stability",mdxType:"TabItem"},Object(o.b)("p",null,'O bot\xe3o "Estabilidade" ir\xe1 abrir um formul\xe1rio, comum a v\xe1rios outros elementos, que permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do transformador durante o estudo de ',Object(o.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(o.b)("p",null,'Nesse formul\xe1rio pode ser criada uma lista gen\xe9rica de inser\xe7\xf5es e remo\xe7\xf5es da linha no tempo, personalizada por um contexto de propriedades de chaveamento que s\xe3o editados o tipo de chaveamento (inser\xe7\xe3o ou remo\xe7\xe3o) e o instante (em segundos) do evento. Essas propriedades s\xe3o atribu\xeddas e retiradas da lista gen\xe9rica por meio dos bot\xf5es "Adicionar" e "Remover", respectivamente.'))))}p.isMDXComponent=!0},140:function(e,t,a){"use strict";a.d(t,"a",(function(){return d})),a.d(t,"b",(function(){return b}));var r=a(0),n=a.n(r);function o(e,t,a){return t in e?Object.defineProperty(e,t,{value:a,enumerable:!0,configurable:!0,writable:!0}):e[t]=a,e}function i(e,t){var a=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),a.push.apply(a,r)}return a}function s(e){for(var t=1;t<arguments.length;t++){var a=null!=arguments[t]?arguments[t]:{};t%2?i(Object(a),!0).forEach((function(t){o(e,t,a[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(a)):i(Object(a)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(a,t))}))}return e}function c(e,t){if(null==e)return{};var a,r,n=function(e,t){if(null==e)return{};var a,r,n={},o=Object.keys(e);for(r=0;r<o.length;r++)a=o[r],t.indexOf(a)>=0||(n[a]=e[a]);return n}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(r=0;r<o.length;r++)a=o[r],t.indexOf(a)>=0||Object.prototype.propertyIsEnumerable.call(e,a)&&(n[a]=e[a])}return n}var u=n.a.createContext({}),l=function(e){var t=n.a.useContext(u),a=t;return e&&(a="function"==typeof e?e(t):s(s({},t),e)),a},d=function(e){var t=l(e.components);return n.a.createElement(u.Provider,{value:t},e.children)},m={inlineCode:"code",wrapper:function(e){var t=e.children;return n.a.createElement(n.a.Fragment,{},t)}},p=n.a.forwardRef((function(e,t){var a=e.components,r=e.mdxType,o=e.originalType,i=e.parentName,u=c(e,["components","mdxType","originalType","parentName"]),d=l(a),p=r,b=d["".concat(i,".").concat(p)]||d[p]||m[p]||o;return a?n.a.createElement(b,s(s({ref:t},u),{},{components:a})):n.a.createElement(b,s({ref:t},u))}));function b(e,t){var a=arguments,r=t&&t.mdxType;if("string"==typeof e||r){var o=a.length,i=new Array(o);i[0]=p;var s={};for(var c in t)hasOwnProperty.call(t,c)&&(s[c]=t[c]);s.originalType=e,s.mdxType="string"==typeof e?e:r,i[1]=s;for(var u=2;u<o;u++)i[u]=a[u];return n.a.createElement.apply(null,i)}return n.a.createElement.apply(null,a)}p.displayName="MDXCreateElement"},141:function(e,t,a){"use strict";a.d(t,"b",(function(){return o})),a.d(t,"a",(function(){return i}));var r=a(16),n=a(142);function o(){const{siteConfig:{baseUrl:e="/",url:t}={}}=Object(r.default)();return{withBaseUrl:(a,r)=>function(e,t,a,{forcePrependBaseUrl:r=!1,absolute:o=!1}={}){if(!a)return a;if(a.startsWith("#"))return a;if(Object(n.b)(a))return a;if(r)return t+a;const i=a.startsWith(t)?a:t+a.replace(/^\//,"");return o?e+i:i}(t,e,a,r)}}function i(e,t={}){const{withBaseUrl:a}=o();return a(e,t)}},142:function(e,t,a){"use strict";function r(e){return!0===/^(\w*:|\/\/)/.test(e)}function n(e){return void 0!==e&&!r(e)}a.d(t,"b",(function(){return r})),a.d(t,"a",(function(){return n}))},143:function(e,t,a){"use strict";function r(e){var t,a,n="";if("string"==typeof e||"number"==typeof e)n+=e;else if("object"==typeof e)if(Array.isArray(e))for(t=0;t<e.length;t++)e[t]&&(a=r(e[t]))&&(n&&(n+=" "),n+=a);else for(t in e)e[t]&&(n&&(n+=" "),n+=t);return n}t.a=function(){for(var e,t,a=0,n="";a<arguments.length;)(e=arguments[a++])&&(t=r(e))&&(n&&(n+=" "),n+=t);return n}},144:function(e,t,a){"use strict";var r=a(0),n=a(145);t.a=function(){const e=Object(r.useContext)(n.a);if(null==e)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return e}},145:function(e,t,a){"use strict";var r=a(0);const n=Object(r.createContext)(void 0);t.a=n},146:function(e,t,a){"use strict";var r=a(0),n=a.n(r),o=a(144),i=a(143),s=a(56),c=a.n(s);const u=37,l=39;t.a=function(e){const{lazy:t,block:a,defaultValue:s,values:d,groupId:m,className:p}=e,{tabGroupChoices:b,setTabGroupChoices:f}=Object(o.a)(),[O,v]=Object(r.useState)(s),j=r.Children.toArray(e.children),h=[];if(null!=m){const e=b[m];null!=e&&e!==O&&d.some((t=>t.value===e))&&v(e)}const g=e=>{const t=e.target,a=h.indexOf(t),r=j[a].props.value;v(r),null!=m&&(f(m,r),setTimeout((()=>{(function(e){const{top:t,left:a,bottom:r,right:n}=e.getBoundingClientRect(),{innerHeight:o,innerWidth:i}=window;return t>=0&&n<=i&&r<=o&&a>=0})(t)||(t.scrollIntoView({block:"center",behavior:"smooth"}),t.classList.add(c.a.tabItemActive),setTimeout((()=>t.classList.remove(c.a.tabItemActive)),2e3))}),150))},y=e=>{var t;let a;switch(e.keyCode){case l:const t=h.indexOf(e.target)+1;a=h[t]||h[0];break;case u:const r=h.indexOf(e.target)-1;a=h[r]||h[h.length-1]}null===(t=a)||void 0===t||t.focus()};return n.a.createElement("div",{className:"tabs-container"},n.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(i.a)("tabs",{"tabs--block":a},p)},d.map((({value:e,label:t})=>n.a.createElement("li",{role:"tab",tabIndex:O===e?0:-1,"aria-selected":O===e,className:Object(i.a)("tabs__item",c.a.tabItem,{"tabs__item--active":O===e}),key:e,ref:e=>h.push(e),onKeyDown:y,onFocus:g,onClick:g},t)))),t?Object(r.cloneElement)(j.filter((e=>e.props.value===O))[0],{className:"margin-vert--md"}):n.a.createElement("div",{className:"margin-vert--md"},j.map(((e,t)=>Object(r.cloneElement)(e,{key:t,hidden:e.props.value!==O})))))}},147:function(e,t,a){"use strict";var r=a(0),n=a.n(r);t.a=function({children:e,hidden:t,className:a}){return n.a.createElement("div",{role:"tabpanel",hidden:t,className:a},e)}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/c4f5d8e4.3d50a28b.js b/docs/assets/js/c4f5d8e4.3d50a28b.js
new file mode 100644
index 0000000..15811f4
--- /dev/null
+++ b/docs/assets/js/c4f5d8e4.3d50a28b.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[40],{114:function(e,a,t){"use strict";t.r(a);var l=t(3),n=t(0),r=t.n(n),c=t(143),i=t(152),m=t(150),s=t(149),o=t(16),u=t(141),E=t(115),d=t.n(E);const h=[{title:r.a.createElement(s.a,null,"Complete Platform"),imageUrl:"img/complete-platform.svg",description:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"PSP-UFU is a")," ",r.a.createElement("b",null,r.a.createElement(s.a,null,"cross-platform, multilingual, Free and Open-Source Software (FOSS)"))," ",r.a.createElement(s.a,null,"with")," ",r.a.createElement("b",null,r.a.createElement(s.a,null,"advanced GUI (Graphical User Interface) features"))," ",r.a.createElement(s.a,null,"and")," ",r.a.createElement("b",null,r.a.createElement(s.a,null,"CAD (Computer-Aided Design) tools"))," ",r.a.createElement(s.a,null,"for electrical power system studies"),".")},{title:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"Advanced CAD Features")),imageUrl:"img/advanced-cad.svg",description:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"The software allows the construction of any")," ",r.a.createElement("b",null,r.a.createElement(s.a,null,"electric transmission network"))," ",r.a.createElement(s.a,null,"and")," ",r.a.createElement("b",null,r.a.createElement(s.a,null,"control systems"))," ",r.a.createElement(s.a,null,"through the deployment of visual elements"),".")},{title:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"Easy Visualization")),imageUrl:"img/visualization.svg",description:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"For the visualization of results, the program offers linked text elements in the main screen, voltage heatmap display, and also table and graph editors."))},{title:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"Application")),imageUrl:"img/application.svg",description:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"The PSP-UFU aims to provide efficient computer simulation tools for")," ",r.a.createElement("b",null,r.a.createElement(s.a,null,"research and education purposes")),", ",r.a.createElement(s.a,null,"in addition to")," ",r.a.createElement("b",null,r.a.createElement(s.a,null,"industrial applications"))," ",r.a.createElement(s.a,null,"in electrical power systems"),".")}],p=[{title:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"Power Flow")),description:r.a.createElement("ul",null,r.a.createElement("li",null,"Newton-Raphson"),r.a.createElement("li",null,"Gauss-Seidel"),r.a.createElement("li",null,r.a.createElement(s.a,null,"Hybrid Newton-Gauss")),r.a.createElement("li",null,r.a.createElement(s.a,null,"Three-phase induction motors included")))},{title:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"Short-Circuit calculation")),description:r.a.createElement("ul",null,r.a.createElement("li",null,r.a.createElement(s.a,null,"Balanced")),r.a.createElement("li",null,r.a.createElement(s.a,null,"Unbalanced")),r.a.createElement("li",null,r.a.createElement(s.a,null,"Short-Circuit power in all system buses")))},{title:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"Harmonics")),description:r.a.createElement("ul",null,r.a.createElement("li",null,r.a.createElement(s.a,null,"Harmonic voltages and THD (Total Harmonic Distortion) calculation")),r.a.createElement("li",null,r.a.createElement(s.a,null,"Frequency scan")))},{title:r.a.createElement(r.a.Fragment,null,r.a.createElement(s.a,null,"Transient and Dynamic Stability")),description:r.a.createElement("ul",null,r.a.createElement("li",null,r.a.createElement(s.a,null,"Several synchronous machine models automatically selected")),r.a.createElement("li",null,r.a.createElement(s.a,null,"Three-phase induction motors")),r.a.createElement("li",null,r.a.createElement(s.a,null,"User-defined machine controls, exciters and prime moves created using block diagrams (Exciters, AVR, PSS, Hydro and Thermal turbines, Speed Governor, etc.)")))}];function g({imageUrl:e,title:a,description:t}){const l=Object(u.a)(e);return r.a.createElement("div",{className:Object(c.a)("col col--4",d.a.feature)},l&&r.a.createElement("div",{className:"text--center"},r.a.createElement("img",{className:d.a.featureImage,src:l,alt:a})),r.a.createElement("h3",null,a),r.a.createElement("p",null,t))}function b({imageUrl:e,title:a,description:t}){const l=Object(u.a)(e);return r.a.createElement("div",{className:Object(c.a)("col col--4",d.a.feature)},l&&r.a.createElement("div",{className:"text--center"},r.a.createElement("img",{className:d.a.featureImage,src:l,alt:a})),r.a.createElement("h3",null,a),t)}a.default=function(){const e=Object(o.default)(),{siteConfig:a={}}=e;return r.a.createElement(i.a,{title:`${a.title}`,description:"<Translate>Power System Platform</Translate>"},r.a.createElement("header",{className:Object(c.a)("hero hero--primary",d.a.heroBanner)},r.a.createElement("div",{className:"container"},r.a.createElement("h1",{className:"hero__title"},a.title),r.a.createElement("p",{className:"hero__subtitle"},r.a.createElement(s.a,null,"Power System Platform of Federal University of Uberl\xe2ndia")),r.a.createElement("p",null,r.a.createElement("center",null,r.a.createElement("iframe",{src:"https://ghbtns.com/github-btn.html?user=thales1330&repo=psp&type=star&count=true&size=large",frameborder:"0",scrolling:"0",width:"130",height:"30",title:"GitHub"}))),r.a.createElement("div",{className:d.a.buttons},r.a.createElement(m.a,{className:Object(c.a)("button button--outline button--secondary button--lg",d.a.getStarted),to:Object(u.a)("https://github.com/Thales1330/PSP/releases/latest")},r.a.createElement(s.a,null,"Download"))),r.a.createElement("div",{className:d.a.buttons},r.a.createElement(m.a,{className:Object(c.a)("button button--outline button--secondary button--lg",d.a.getStarted),to:Object(u.a)("docs/")},r.a.createElement(s.a,null,"User Guide"))),r.a.createElement("div",{className:d.a.buttons},r.a.createElement(m.a,{className:Object(c.a)("button button--outline button--secondary button--lg",d.a.getStarted),to:Object(u.a)("https://minhaskamal.github.io/DownGit/#/home?url=https://github.com/Thales1330/PSP/tree/master/Project/data/samples")},r.a.createElement(s.a,null,"Samples"))))),r.a.createElement("main",null,h&&h.length>0&&r.a.createElement("section",{className:d.a.features},r.a.createElement("div",{className:"container"},r.a.createElement("div",{className:"row"},h.map(((e,a)=>r.a.createElement(g,Object(l.a)({key:a},e))))))),r.a.createElement("div",{className:"container"},r.a.createElement("h2",null,r.a.createElement(s.a,null,"Studies Performed"))),p&&p.length>0&&r.a.createElement("section",{className:d.a.features},r.a.createElement("div",{className:"container"},r.a.createElement("div",{className:"row"},p.map(((e,a)=>r.a.createElement(b,Object(l.a)({key:a},e))))))),r.a.createElement("div",{className:"container"},r.a.createElement("h2",null,r.a.createElement(s.a,null,"Published Papers")),r.a.createElement(s.a,null,"Further details can be found in the published papers:"),r.a.createElement("blockquote",{cite:"https://doi.org/10.1002/2050-7038.12185"},"Oliveira, T. L., Guimar\xe3es, G. C., & Silva, L. R. C. (2019). PSP-UFU: An open-source, graphical, and multiplatform software for power system studies. ",r.a.createElement("i",null,"International Transactions on Electrical Energy Systems"),", e12185. doi: ",r.a.createElement("a",{href:"https://doi.org/10.1002/2050-7038.12185"},"10.1002/2050-7038.12185")),r.a.createElement("blockquote",{cite:"https://doi.org/10.1177/0020720919879058"},"Oliveira, T. L., Guimar\xe3es, G. C., Silva, L. R., & Rezende, J. O. (2019). Power system education and research applications using free and open-source, graphical and multiplatform PSP-UFU software. ",r.a.createElement("i",null,"The International Journal of Electrical Engineering & Education"),", 0020720919879058. doi: ",r.a.createElement("a",{href:"https://doi.org/10.1177/0020720919879058"},"10.1177/0020720919879058"))),r.a.createElement("div",{className:"container"},r.a.createElement("h2",null,r.a.createElement(s.a,null,"Code Documentation")),r.a.createElement("p",null,r.a.createElement(s.a,null,"All detailed descriptions of the source-code can be found at")," ",r.a.createElement("b",null,r.a.createElement("a",{href:"https://thales1330.github.io/PSP/doxygen/html/index.html"},r.a.createElement(s.a,null,"Online Documentation"))),", ",r.a.createElement(s.a,null,"generated by")," ",r.a.createElement("a",{href:"http://www.doxygen.org/"},"Doxygen"),".")),r.a.createElement("div",{className:"container"},r.a.createElement("h2",null,r.a.createElement(s.a,null,"Screenshots")),r.a.createElement("center",null,r.a.createElement("iframe",{src:"gallery.html",style:{position:"relative",width:"100%",height:"56.25vw",display:"block",overflow:"hidden",border:"none"}},r.a.createElement(s.a,null,"Your browser doesn\u2019t support the this feature."))))))}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/c54a95a3.b800229c.js b/docs/assets/js/c54a95a3.b800229c.js
new file mode 100644
index 0000000..fbdb27a
--- /dev/null
+++ b/docs/assets/js/c54a95a3.b800229c.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[41],{116:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return p})),t.d(e,"metadata",(function(){return i})),t.d(e,"toc",(function(){return o})),t.d(e,"default",(function(){return d}));var n=t(3),s=t(7),r=(t(0),t(140)),m=t(141),c=t(146),b=t(147),p={id:"bus",title:"Barramento",sidebar_label:"Barramento"},i={unversionedId:"bus",id:"bus",isDocsHomePage:!1,title:"Barramento",description:"Condutor de baixa imped\xe2ncia ao qual v\xe1rios circuitos el\xe9tricos podem ser conectados em pontos separados.",source:"@site/docs/bus.md",slug:"/bus",permalink:"/PSP/docs/bus",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/bus.md",version:"current",sidebar_label:"Barramento",sidebar:"docs",previous:{title:"Editor de Pot\xeancia",permalink:"/PSP/docs/powerEditor"},next:{title:"Linha",permalink:"/PSP/docs/line"}},o=[{value:"Barramento no PSP-UFU",id:"barramento-no-psp-ufu",children:[]},{value:"Formul\xe1rio de edi\xe7\xe3o dos barramentos",id:"formul\xe1rio-de-edi\xe7\xe3o-dos-barramentos",children:[]}],l={toc:o};function d(a){var e=a.components,t=Object(s.a)(a,["components"]);return Object(r.b)("wrapper",Object(n.a)({},l,t,{components:e,mdxType:"MDXLayout"}),Object(r.b)("link",{rel:"stylesheet",href:Object(m.a)("katex/katex.min.css")}),Object(r.b)("blockquote",null,Object(r.b)("p",{parentName:"blockquote"},"Condutor de baixa imped\xe2ncia ao qual v\xe1rios circuitos el\xe9tricos podem ser conectados em pontos separados.\nNota - Em muitos casos, o barramento consiste em uma barra. ",Object(r.b)("a",{parentName:"p",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=151-12-30"},Object(r.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),".")),Object(r.b)("h2",{id:"barramento-no-psp-ufu"},"Barramento no PSP-UFU"),Object(r.b)("p",null,"O elemento ",Object(r.b)("strong",{parentName:"p"},"barramento"),", ou simplesmente ",Object(r.b)("strong",{parentName:"p"},"barra"),", \xe9 um conector ou n\xf3 do diagrama unifilar do PSP-UFU. Essa barra pode representar um PAC (Ponto de Acoplamento Comum), um poste de distribui\xe7\xe3o, uma subesta\xe7\xe3o, um barramento da subesta\xe7\xe3o, entre in\xfameros outros tipos pontos de an\xe1lise e conex\xe3o entre elementos."),Object(r.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-dos-barramentos"},"Formul\xe1rio de edi\xe7\xe3o dos barramentos"),Object(r.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"O barramento deve ser o ",Object(r.b)("strong",{parentName:"p"},"primeiro elemento el\xe9trico a ser inserido no diagrama de pot\xeancia"),", uma vez que os demais componentes de pot\xeancia s\xe3o conectados nele."))),Object(r.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de inser\xe7\xe3o/altera\xe7\xe3o de dados das barras:"),Object(r.b)("div",null,Object(r.b)("center",null,Object(r.b)("img",{src:Object(m.a)("images/busForm.png"),alt:"Formul\xe1rio dos barramentos no PSP-UFU",title:"Formul\xe1rio dos barramentos no PSP-UFU"}))),Object(r.b)("p",null,"Esse formul\xe1rio \xe9 subdividido em quatro contextos distintos:"),Object(r.b)("ul",null,Object(r.b)("li",{parentName:"ul"},Object(r.b)("strong",{parentName:"li"},"Geral"),": no qual s\xe3o inseridas informa\xe7\xf5es gerais da barra e informa\xe7\xf5es do fluxo de carga;"),Object(r.b)("li",{parentName:"ul"},Object(r.b)("strong",{parentName:"li"},"Falta"),": local onde o curto-circuito ",Object(r.b)("em",{parentName:"li"},"shunt")," deve ser inserido;"),Object(r.b)("li",{parentName:"ul"},Object(r.b)("strong",{parentName:"li"},"Estabilidade"),": contendo op\xe7\xf5es de visualiza\xe7\xe3o de dados da barra em gr\xe1ficos no tempo e inser\xe7\xe3o de faltas trif\xe1sicas no c\xe1lculo de estabilidade transit\xf3ria;"),Object(r.b)("li",{parentName:"ul"},Object(r.b)("strong",{parentName:"li"},"Qualidade de energia"),": cont\xe9m a op\xe7\xe3o de de visualiza\xe7\xe3o da imped\xe2ncia harm\xf4nica vista pela barra.")),Object(r.b)("hr",null),Object(r.b)(c.a,{groupId:"bus-tabs",defaultValue:"general",values:[{label:"Geral",value:"general"},{label:"Falta",value:"fault"},{label:"Estabilidade",value:"stability"},{label:"Qualidade de energia",value:"powerQuality"}],mdxType:"Tabs"},Object(r.b)(b.a,{value:"general",mdxType:"TabItem"},Object(r.b)("h4",{id:"nome"},"Nome"),Object(r.b)("p",null,"Identifica\xe7\xe3o do elemento el\xe9trico. Podem ser inseridos quaisquer n\xfameros de caracteres no padr\xe3o ",Object(r.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Unicode"},"Unicode"),"."),Object(r.b)("p",null,"Todos os componentes de pot\xeancia do PSP-UFU possuem esse campo."),Object(r.b)("h4",{id:"tens\xe3o-nominal"},"Tens\xe3o nominal"),Object(r.b)("p",null,"Utilizado para c\xe1lculo da imped\xe2ncia base de alguns elementos conectados, al\xe9m do c\xe1lculo da rela\xe7\xe3o de transforma\xe7\xe3o dos transformadores conectados entre barras. Sua unidade pode ser selecionada, sendo expressa em V ou em kV."),Object(r.b)("p",null,"A modifica\xe7\xe3o desse par\xe2metro ir\xe1 alterar toda a tens\xe3o do trecho conectado por linhas el\xe9tricas, sendo emitido um alerta ao usu\xe1rio."),Object(r.b)("h4",{id:"tens\xe3o-controlada"},"Tens\xe3o controlada"),Object(r.b)("p",null,"Caracteriza o barramento como ",Object(r.b)("strong",{parentName:"p"},"barra de tens\xe3o controlada (",Object(r.b)("a",{parentName:"strong",href:"powerFlow"},"Barra PV"),")"),","),Object(r.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"Essa op\xe7\xe3o \xe9 somente v\xe1lida caso alguma m\xe1quina s\xedncrona esteja conectado, caso contr\xe1rio esse valor ser\xe1 ignorado. Caso o limite de pot\xeancia reativa da m\xe1quina s\xedncrona conectada seja ultrapassado esse valor tamb\xe9m \xe9 ignorado."))),Object(r.b)("p",null,"O valor poder\xe1 ser inserido em p.u. ou em volts (ou kV caso a tens\xe3o nominal esteja nesta unidade)."),Object(r.b)("h4",{id:"barra-de-refer\xeancia"},"Barra de refer\xeancia"),Object(r.b)("p",null,"Caracteriza o barramento como ",Object(r.b)("strong",{parentName:"p"},"barra de refer\xeancia (",Object(r.b)("a",{parentName:"strong",href:"powerFlow"},"Barra de oscila\xe7\xe3o"),")"),". Essa op\xe7\xe3o \xe9 somente v\xe1lida caso esteja conectado um gerador s\xedncrono, caso contr\xe1rio uma mensagem de erro ser\xe1 exibida ao usu\xe1rio ao realizar algum dos c\xe1lculos do programa.")),Object(r.b)(b.a,{value:"fault",mdxType:"TabItem"},Object(r.b)("h4",{id:"inserir-falta"},"Inserir falta"),Object(r.b)("p",null,"Indica se existe um curto-circuito na barra nos estudos de ",Object(r.b)("a",{parentName:"p",href:"fault"},"curto-circuito"),"."),Object(r.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"Nota-se que essa op\xe7\xe3o ir\xe1 inserir uma falta no c\xe1lculo de ",Object(r.b)("a",{parentName:"p",href:"fault"},"curto-circuito")," e ",Object(r.b)("strong",{parentName:"p"},"n\xe3o ser\xe1 considerado no estudo de estabilidade"),"."))),Object(r.b)("h4",{id:"tipo-de-falta"},"Tipo de falta"),Object(r.b)("p",null,"Seleciona o tipo de falha shunt da barra:"),Object(r.b)("ul",null,Object(r.b)("li",{parentName:"ul"},"trif\xe1sico para a terra"),Object(r.b)("li",{parentName:"ul"},"fase-fase"),Object(r.b)("li",{parentName:"ul"},"fase-fase-terra"),Object(r.b)("li",{parentName:"ul"},"fase-terra")),Object(r.b)("h4",{id:"local-da-falta"},"Local da falta"),Object(r.b)("p",null,"Seleciona a fase em que se situa a falta (ou combina\xe7\xe3o delas no caso de falha entre duas fases), sendo essa op\xe7\xe3o desabilitada para o tipo de falta trif\xe1sica."),Object(r.b)("h4",{id:"resist\xeancia-e-reat\xe2ncia-de-falta"},"Resist\xeancia e reat\xe2ncia de falta"),Object(r.b)("p",null,"Representam a imped\xe2ncia da falta. Curtos-circuitos francos (sem imped\xe2ncia de falta) s\xe3o representados inserindo valor zero em ambos os campos.")),Object(r.b)(b.a,{value:"stability",mdxType:"TabItem"},Object(r.b)("h4",{id:"imprimir-dados"},"Imprimir dados"),Object(r.b)("p",null,"Mostra os dados da barra editada no gr\xe1fico gerado pelo estudo de estabilidade transit\xf3ria. Os seguintes dados s\xe3o exibidos:"),Object(r.b)("ul",null,Object(r.b)("li",{parentName:"ul"},"m\xf3dulo da tens\xe3o do barramento"),Object(r.b)("li",{parentName:"ul"},"\xe2ngulo da tens\xe3o do barramento.")),Object(r.b)("h4",{id:"inserir-falta-1"},"Inserir falta"),Object(r.b)("p",null,"Insere uma falta trif\xe1sica na barra no c\xe1lculo de ",Object(r.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(r.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"Nota-se que essa op\xe7\xe3o ir\xe1 inserir uma falta no c\xe1lculo de ",Object(r.b)("a",{parentName:"p",href:"stability"},"estabilidade")," e ",Object(r.b)("strong",{parentName:"p"},"n\xe3o ser\xe1 considerado no estudo de ",Object(r.b)("a",{parentName:"strong",href:"fault"},"curto-circuito")),"."))),Object(r.b)("h4",{id:"tempo"},"Tempo"),Object(r.b)("p",null,"Instante no tempo (",Object(r.b)("span",{parentName:"p",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("msub",{parentName:"mrow"},Object(r.b)("mi",{parentName:"msub"},"t"),Object(r.b)("mrow",{parentName:"msub"},Object(r.b)("mi",{parentName:"mrow"},"f"),Object(r.b)("mi",{parentName:"mrow"},"a"),Object(r.b)("mi",{parentName:"mrow"},"l"),Object(r.b)("mi",{parentName:"mrow"},"t"),Object(r.b)("mi",{parentName:"mrow"},"a")))),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"t_{falta}")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.9011879999999999em",verticalAlign:"-0.286108em"}}),Object(r.b)("span",{parentName:"span",className:"mord"},Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(r.b)("span",{parentName:"span",className:"msupsub"},Object(r.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(r.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(r.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(r.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(r.b)("span",{parentName:"span",className:"mord mtight"},Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"))))),Object(r.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(r.b)("span",{parentName:"span"})))))))))),") em que ocorre a falta durante os estudos de ",Object(r.b)("a",{parentName:"p",href:"stability"},"estabilidade"),". Esse campo e os pr\xf3ximos s\xe3o somente acessados caso seja inserida uma falta no estudo de estabilidade."),Object(r.b)("h4",{id:"dura\xe7\xe3o-da-falta"},"Dura\xe7\xe3o da falta"),Object(r.b)("p",null,"Dura\xe7\xe3o da falta inserida (",Object(r.b)("span",{parentName:"p",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(r.b)("msub",{parentName:"mrow"},Object(r.b)("mi",{parentName:"msub"},"t"),Object(r.b)("mrow",{parentName:"msub"},Object(r.b)("mi",{parentName:"mrow"},"f"),Object(r.b)("mi",{parentName:"mrow"},"a"),Object(r.b)("mi",{parentName:"mrow"},"l"),Object(r.b)("mi",{parentName:"mrow"},"t"),Object(r.b)("mi",{parentName:"mrow"},"a")))),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta t_{falta}")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}}),Object(r.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(r.b)("span",{parentName:"span",className:"mord"},Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(r.b)("span",{parentName:"span",className:"msupsub"},Object(r.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(r.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(r.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(r.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(r.b)("span",{parentName:"span",className:"mord mtight"},Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"))))),Object(r.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(r.b)("span",{parentName:"span"})))))))))),") no estudo de estabilidade. A falta ir\xe1 iniciar no instante ",Object(r.b)("span",{parentName:"p",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("msub",{parentName:"mrow"},Object(r.b)("mi",{parentName:"msub"},"t"),Object(r.b)("mrow",{parentName:"msub"},Object(r.b)("mi",{parentName:"mrow"},"f"),Object(r.b)("mi",{parentName:"mrow"},"a"),Object(r.b)("mi",{parentName:"mrow"},"l"),Object(r.b)("mi",{parentName:"mrow"},"t"),Object(r.b)("mi",{parentName:"mrow"},"a")))),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"t_{falta}")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.9011879999999999em",verticalAlign:"-0.286108em"}}),Object(r.b)("span",{parentName:"span",className:"mord"},Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(r.b)("span",{parentName:"span",className:"msupsub"},Object(r.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(r.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(r.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(r.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(r.b)("span",{parentName:"span",className:"mord mtight"},Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"))))),Object(r.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(r.b)("span",{parentName:"span"}))))))))))," e ser\xe1 interrompida em ",Object(r.b)("span",{parentName:"p",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("msub",{parentName:"mrow"},Object(r.b)("mi",{parentName:"msub"},"t"),Object(r.b)("mrow",{parentName:"msub"},Object(r.b)("mi",{parentName:"mrow"},"f"),Object(r.b)("mi",{parentName:"mrow"},"a"),Object(r.b)("mi",{parentName:"mrow"},"l"),Object(r.b)("mi",{parentName:"mrow"},"t"),Object(r.b)("mi",{parentName:"mrow"},"a"))),Object(r.b)("mo",{parentName:"mrow"},"+"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(r.b)("msub",{parentName:"mrow"},Object(r.b)("mi",{parentName:"msub"},"t"),Object(r.b)("mrow",{parentName:"msub"},Object(r.b)("mi",{parentName:"mrow"},"f"),Object(r.b)("mi",{parentName:"mrow"},"a"),Object(r.b)("mi",{parentName:"mrow"},"l"),Object(r.b)("mi",{parentName:"mrow"},"t"),Object(r.b)("mi",{parentName:"mrow"},"a")))),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"t_{falta}+\\Delta t_{falta}")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.9011879999999999em",verticalAlign:"-0.286108em"}}),Object(r.b)("span",{parentName:"span",className:"mord"},Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(r.b)("span",{parentName:"span",className:"msupsub"},Object(r.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(r.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(r.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(r.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(r.b)("span",{parentName:"span",className:"mord mtight"},Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"))))),Object(r.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(r.b)("span",{parentName:"span"})))))),Object(r.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(r.b)("span",{parentName:"span",className:"mbin"},"+"),Object(r.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}}),Object(r.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(r.b)("span",{parentName:"span",className:"mord"},Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(r.b)("span",{parentName:"span",className:"msupsub"},Object(r.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(r.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(r.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(r.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(r.b)("span",{parentName:"span",className:"mord mtight"},Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"))))),Object(r.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(r.b)("span",{parentName:"span"})))))))))),"."),Object(r.b)("h4",{id:"resist\xeancia-e-reat\xe2ncia-de-falta-1"},"Resist\xeancia e reat\xe2ncia de falta"),Object(r.b)("p",null,"Imped\xe2ncia de falta nos estudos de estabilidade. Uma falta franca \xe9 representada pela inser\xe7\xe3o de um valor de imped\xe2ncia shunt de valor muito baixo (",Object(r.b)("span",{parentName:"p",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"j"),Object(r.b)("mn",{parentName:"mrow"},"1"),Object(r.b)("msup",{parentName:"mrow"},Object(r.b)("mn",{parentName:"msup"},"0"),Object(r.b)("mrow",{parentName:"msup"},Object(r.b)("mo",{parentName:"mrow"},"\u2212"),Object(r.b)("mn",{parentName:"mrow"},"5"))),Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"j10^{-5} p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"1.008548em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05724em"}},"j"),Object(r.b)("span",{parentName:"span",className:"mord"},"1"),Object(r.b)("span",{parentName:"span",className:"mord"},Object(r.b)("span",{parentName:"span",className:"mord"},"0"),Object(r.b)("span",{parentName:"span",className:"msupsub"},Object(r.b)("span",{parentName:"span",className:"vlist-t"},Object(r.b)("span",{parentName:"span",className:"vlist-r"},Object(r.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(r.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(r.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(r.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(r.b)("span",{parentName:"span",className:"mord mtight"},Object(r.b)("span",{parentName:"span",className:"mord mtight"},"\u2212"),Object(r.b)("span",{parentName:"span",className:"mord mtight"},"5"))))))))),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),").")),Object(r.b)(b.a,{value:"powerQuality",mdxType:"TabItem"},Object(r.b)("h4",{id:"imprimir-imped\xe2ncia-harm\xf4nica-da-barra"},"Imprimir imped\xe2ncia harm\xf4nica da barra"),Object(r.b)("p",null,"Imprime a imped\xe2ncia harm\xf4nica vista por essa barra referente ao estudo de ",Object(r.b)("a",{parentName:"p",href:"harmonics"},"Resposta na Frequ\xeancia"),"."))),Object(r.b)("hr",null),Object(r.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"Resumo de como definir o tipo de barra:"),Object(r.b)("ul",{parentName:"div"},Object(r.b)("li",{parentName:"ul"},"Para definir o barramento como sendo uma ",Object(r.b)("strong",{parentName:"li"},Object(r.b)("a",{parentName:"strong",href:"powerFlow"},"Barra PQ")),', as op\xe7\xf5es "Barra de refer\xeancia" e "Tens\xe3o controlada" devem estar ',Object(r.b)("strong",{parentName:"li"},"desmarcadas"),"; "),Object(r.b)("li",{parentName:"ul"},"Para definir o barramento como sendo uma ",Object(r.b)("strong",{parentName:"li"},Object(r.b)("a",{parentName:"strong",href:"powerFlow"},"Barra PV")),", deve-se ",Object(r.b)("strong",{parentName:"li"},"marcar somente"),' a op\xe7\xe3o "Tens\xe3o controlada", mantendo a op\xe7\xe3o "Barra de refer\xeancia" desmarcada;'),Object(r.b)("li",{parentName:"ul"},"Para definir o barramento como sendo uma ",Object(r.b)("strong",{parentName:"li"},Object(r.b)("a",{parentName:"strong",href:"powerFlow"},"Barra de Refer\xeancia")),', deve-se marcar a op\xe7\xe3o "Barra de refer\xeancia". Caso a op\xe7\xe3o "Tens\xe3o controlada" esteja desmarcada ser\xe1 admitido um valor de tens\xe3o controlada de ',Object(r.b)("span",{parentName:"li",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mn",{parentName:"mrow"},"1"),Object(r.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(r.b)("mn",{parentName:"mrow"},"0"),Object(r.b)("mtext",{parentName:"mrow"},"\xa0"),Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1{,}0~p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord"},"1"),Object(r.b)("span",{parentName:"span",className:"mord"},Object(r.b)("span",{parentName:"span",className:"mpunct"},",")),Object(r.b)("span",{parentName:"span",className:"mord"},"0"),Object(r.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))))))),Object(r.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},Object(r.b)("strong",{parentName:"p"},"O sistema deve possuir somente uma barra de refer\xeancia"),"."))))}d.isMDXComponent=!0},140:function(a,e,t){"use strict";t.d(e,"a",(function(){return o})),t.d(e,"b",(function(){return N}));var n=t(0),s=t.n(n);function r(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function m(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);e&&(n=n.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,n)}return t}function c(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?m(Object(t),!0).forEach((function(e){r(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):m(Object(t)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(t,e))}))}return a}function b(a,e){if(null==a)return{};var t,n,s=function(a,e){if(null==a)return{};var t,n,s={},r=Object.keys(a);for(n=0;n<r.length;n++)t=r[n],e.indexOf(t)>=0||(s[t]=a[t]);return s}(a,e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(a);for(n=0;n<r.length;n++)t=r[n],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(s[t]=a[t])}return s}var p=s.a.createContext({}),i=function(a){var e=s.a.useContext(p),t=e;return a&&(t="function"==typeof a?a(e):c(c({},e),a)),t},o=function(a){var e=i(a.components);return s.a.createElement(p.Provider,{value:e},a.children)},l={inlineCode:"code",wrapper:function(a){var e=a.children;return s.a.createElement(s.a.Fragment,{},e)}},d=s.a.forwardRef((function(a,e){var t=a.components,n=a.mdxType,r=a.originalType,m=a.parentName,p=b(a,["components","mdxType","originalType","parentName"]),o=i(t),d=n,N=o["".concat(m,".").concat(d)]||o[d]||l[d]||r;return t?s.a.createElement(N,c(c({ref:e},p),{},{components:t})):s.a.createElement(N,c({ref:e},p))}));function N(a,e){var t=arguments,n=e&&e.mdxType;if("string"==typeof a||n){var r=t.length,m=new Array(r);m[0]=d;var c={};for(var b in e)hasOwnProperty.call(e,b)&&(c[b]=e[b]);c.originalType=a,c.mdxType="string"==typeof a?a:n,m[1]=c;for(var p=2;p<r;p++)m[p]=t[p];return s.a.createElement.apply(null,m)}return s.a.createElement.apply(null,t)}d.displayName="MDXCreateElement"},141:function(a,e,t){"use strict";t.d(e,"b",(function(){return r})),t.d(e,"a",(function(){return m}));var n=t(16),s=t(142);function r(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(n.default)();return{withBaseUrl:(t,n)=>function(a,e,t,{forcePrependBaseUrl:n=!1,absolute:r=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(s.b)(t))return t;if(n)return e+t;const m=t.startsWith(e)?t:e+t.replace(/^\//,"");return r?a+m:m}(e,a,t,n)}}function m(a,e={}){const{withBaseUrl:t}=r();return t(a,e)}},142:function(a,e,t){"use strict";function n(a){return!0===/^(\w*:|\/\/)/.test(a)}function s(a){return void 0!==a&&!n(a)}t.d(e,"b",(function(){return n})),t.d(e,"a",(function(){return s}))},143:function(a,e,t){"use strict";function n(a){var e,t,s="";if("string"==typeof a||"number"==typeof a)s+=a;else if("object"==typeof a)if(Array.isArray(a))for(e=0;e<a.length;e++)a[e]&&(t=n(a[e]))&&(s&&(s+=" "),s+=t);else for(e in a)a[e]&&(s&&(s+=" "),s+=e);return s}e.a=function(){for(var a,e,t=0,s="";t<arguments.length;)(a=arguments[t++])&&(e=n(a))&&(s&&(s+=" "),s+=e);return s}},144:function(a,e,t){"use strict";var n=t(0),s=t(145);e.a=function(){const a=Object(n.useContext)(s.a);if(null==a)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return a}},145:function(a,e,t){"use strict";var n=t(0);const s=Object(n.createContext)(void 0);e.a=s},146:function(a,e,t){"use strict";var n=t(0),s=t.n(n),r=t(144),m=t(143),c=t(56),b=t.n(c);const p=37,i=39;e.a=function(a){const{lazy:e,block:t,defaultValue:c,values:o,groupId:l,className:d}=a,{tabGroupChoices:N,setTabGroupChoices:u}=Object(r.a)(),[O,j]=Object(n.useState)(c),h=n.Children.toArray(a.children),g=[];if(null!=l){const a=N[l];null!=a&&a!==O&&o.some((e=>e.value===a))&&j(a)}const f=a=>{const e=a.target,t=g.indexOf(e),n=h[t].props.value;j(n),null!=l&&(u(l,n),setTimeout((()=>{(function(a){const{top:e,left:t,bottom:n,right:s}=a.getBoundingClientRect(),{innerHeight:r,innerWidth:m}=window;return e>=0&&s<=m&&n<=r&&t>=0})(e)||(e.scrollIntoView({block:"center",behavior:"smooth"}),e.classList.add(b.a.tabItemActive),setTimeout((()=>e.classList.remove(b.a.tabItemActive)),2e3))}),150))},v=a=>{var e;let t;switch(a.keyCode){case i:const e=g.indexOf(a.target)+1;t=g[e]||g[0];break;case p:const n=g.indexOf(a.target)-1;t=g[n]||g[g.length-1]}null===(e=t)||void 0===e||e.focus()};return s.a.createElement("div",{className:"tabs-container"},s.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(m.a)("tabs",{"tabs--block":t},d)},o.map((({value:a,label:e})=>s.a.createElement("li",{role:"tab",tabIndex:O===a?0:-1,"aria-selected":O===a,className:Object(m.a)("tabs__item",b.a.tabItem,{"tabs__item--active":O===a}),key:a,ref:a=>g.push(a),onKeyDown:v,onFocus:f,onClick:f},e)))),e?Object(n.cloneElement)(h.filter((a=>a.props.value===O))[0],{className:"margin-vert--md"}):s.a.createElement("div",{className:"margin-vert--md"},h.map(((a,e)=>Object(n.cloneElement)(a,{key:e,hidden:a.props.value!==O})))))}},147:function(a,e,t){"use strict";var n=t(0),s=t.n(n);e.a=function({children:a,hidden:e,className:t}){return s.a.createElement("div",{role:"tabpanel",hidden:e,className:t},a)}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/ccb74ecc.ee2bf141.js b/docs/assets/js/ccb74ecc.ee2bf141.js
new file mode 100644
index 0000000..e1b3135
--- /dev/null
+++ b/docs/assets/js/ccb74ecc.ee2bf141.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[42],{117:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return r})),t.d(e,"metadata",(function(){return c})),t.d(e,"toc",(function(){return b})),t.d(e,"default",(function(){return l}));var s=t(3),n=t(7),m=(t(0),t(140)),p=t(141),r=(t(146),t(147),{id:"harmonics",title:"Harm\xf4nicos",sidebar_label:"Harm\xf4nicos"}),c={unversionedId:"harmonics",id:"harmonics",isDocsHomePage:!1,title:"Harm\xf4nicos",description:"Duas ferramentas relacionadas a harm\xf4nicos foram desenvolvidas no PSP-UFU:",source:"@site/docs/harmonics.md",slug:"/harmonics",permalink:"/PSP/docs/harmonics",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/harmonics.md",version:"current",sidebar_label:"Harm\xf4nicos",sidebar:"docs",previous:{title:"Curto-Circuito",permalink:"/PSP/docs/fault"},next:{title:"Estabilidade",permalink:"/PSP/docs/stability"}},b=[{value:"Execu\xe7\xe3o do c\xe1lculo de harm\xf4nicos no PSP-UFU",id:"execu\xe7\xe3o-do-c\xe1lculo-de-harm\xf4nicos-no-psp-ufu",children:[{value:"Distor\xe7\xf5es Harm\xf4nicas",id:"distor\xe7\xf5es-harm\xf4nicas",children:[]},{value:"Resposta na Frequ\xeancia",id:"resposta-na-frequ\xeancia",children:[]}]},{value:"C\xe1lculos das ferramentas harm\xf4nicas",id:"c\xe1lculos-das-ferramentas-harm\xf4nicas",children:[]},{value:"Refer\xeancias",id:"refer\xeancias",children:[]}],i={toc:b};function l(a){var e=a.components,t=Object(n.a)(a,["components"]);return Object(m.b)("wrapper",Object(s.a)({},i,t,{components:e,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("p",null,"Duas ferramentas relacionadas a harm\xf4nicos foram desenvolvidas no PSP-UFU:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},"Distor\xe7\xe3o Harm\xf4nica Total de Tens\xe3o (THD, do ingl\xeas ",Object(m.b)("em",{parentName:"li"},"Total Harmonic Distortion"),");"),Object(m.b)("li",{parentName:"ul"},"Resposta na Frequ\xeancia.")),Object(m.b)("p",null,"A ferramenta de ",Object(m.b)("strong",{parentName:"p"},Object(m.b)("a",{parentName:"strong",href:"https://en.wikipedia.org/wiki/Total_harmonic_distortion"},"Distor\xe7\xe3o Harm\xf4nica Total"))," calcula as tens\xf5es harm\xf4nicas causadas por ",Object(m.b)("a",{parentName:"p",href:"harmSource"},"fontes de corrente harm\xf4nicas"),", assim como o THD de todos os barramentos do sistema."),Object(m.b)("p",null,"A ferramenta de ",Object(m.b)("strong",{parentName:"p"},"Resposta na Frequ\xeancia")," (ou an\xe1lise de varredura de frequ\xeancia) envolve a varia\xe7\xe3o da imped\xe2ncia da rede em um espectro de frequ\xeancias observado a partir de um certo barramento."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"A an\xe1lise de varredura de frequ\xeancia \xe9 amplamente usada no projeto de filtros harm\xf4nicos."))),Object(m.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Um arranjo s\xe9rie de uma ",Object(m.b)("a",{parentName:"p",href:"line"},"linha")," sem as suscept\xe2ncias ",Object(m.b)("em",{parentName:"p"},"shunt"),", um ",Object(m.b)("a",{parentName:"p",href:"bus"},"barramento")," e um ",Object(m.b)("a",{parentName:"p",href:"capacitor"},"capacitor")," pode ser utilizado para fabricar um filtro passivo nos ",Object(m.b)("a",{parentName:"p",href:"harmonics"},"estudos harm\xf4nicos"),". Em vers\xf5es futuras, um elemento de filtro passivo ser\xe1 implementado no PSP-UFU."))),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Na vers\xe3o atual do programa n\xe3o s\xe3o consideradas as altera\xe7\xf5es das resist\xeancias do sistema causado pelo efeito pelicular. Vers\xf5es futuras ir\xe3o contemplar tal caracter\xedstica."))),Object(m.b)("h2",{id:"execu\xe7\xe3o-do-c\xe1lculo-de-harm\xf4nicos-no-psp-ufu"},"Execu\xe7\xe3o do c\xe1lculo de harm\xf4nicos no PSP-UFU"),Object(m.b)("p",null,"Ap\xf3s a constru\xe7\xe3o do diagrama unifilar no ",Object(m.b)("a",{parentName:"p",href:"powerEditor"},"editor de pot\xeancia"),", a execu\xe7\xe3o do c\xe1lculo das distor\xe7\xf5es harm\xf4nicas \xe9 realizada no ",Object(m.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"menu Simula\xe7\xe3o")," clicando no bot\xe3o ",Object(m.b)("strong",{parentName:"p"},"Distor\xe7\xf5es Harm\xf4nicas"),". Para acessar a ferramenta de de varredura de frequ\xeancia, basta clicar no bot\xe3o ",Object(m.b)("strong",{parentName:"p"},"Resposta na Frequ\xeancia"),"."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/menuSimulationHamonics.svg"),alt:"Acesso \xe0s ferramentas de estudo harm\xf4nico",title:"Acesso \xe0s ferramentas de estudo harm\xf4nico"}))),Object(m.b)("h3",{id:"distor\xe7\xf5es-harm\xf4nicas"},"Distor\xe7\xf5es Harm\xf4nicas"),Object(m.b)("p",null,'Ao clicar sobre o bot\xe3o "Distor\xe7\xf5es Harm\xf4nicas" as distor\xe7\xf5es causadas pelas ',Object(m.b)("a",{parentName:"p",href:"harmSource"},"fontes de corrente harm\xf4nica")," s\xe3o calculadas em todos os barramentos do sistema."),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Caso n\xe3o forem inseridas ",Object(m.b)("a",{parentName:"p",href:"harmSource"},"fontes de corrente harm\xf4nica")," no sistema de pot\xeancia, a distor\xe7\xe3o de tens\xe3o de todas as barras ser\xe1 ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mtext",{parentName:"mrow"},"\xa0"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"%")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0{,}0~\\%")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.94444em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(m.b)("span",{parentName:"span",className:"mord"},"%"))))),"."))),Object(m.b)("p",null,Object(m.b)("strong",{parentName:"p"},"Outra possibilidade")," \xe9 a execu\xe7\xe3o por meio do c\xe1lculo cont\xednuo, tamb\xe9m presente no ",Object(m.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"menu Simula\xe7\xe3o")," e seu acionamento \xe9 realizado co clicar no bot\xe3o ",Object(m.b)("strong",{parentName:"p"},"Habilitar solu\xe7\xe3o"),". Com essa op\xe7\xe3o, os c\xe1lculos est\xe1ticos selecionados nas ",Object(m.b)("a",{parentName:"p",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o")," s\xe3o automaticamente realizados ao modificar quaisquer par\xe2metros da rede, como dados el\xe9tricos e acionamento dos disjuntores dos elementos (remo\xe7\xe3o ou inser\xe7\xe3o)."),Object(m.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Os c\xe1lculos dos n\xedveis de THD ",Object(m.b)("strong",{parentName:"p"},"n\xe3o s\xe3o habilitados por padr\xe3o")," no c\xe1lculo cont\xednuo e devem ser inseridos nas ",Object(m.b)("a",{parentName:"p",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o"),"."))),Object(m.b)("p",null,"Os resultados das distor\xe7\xf5es harm\xf4nicas s\xe3o exibidos nos ",Object(m.b)("a",{parentName:"p",href:"text"},"elementos de texto vinculados")," e ao posicionar o mouse sobre um barramento."),Object(m.b)("h3",{id:"resposta-na-frequ\xeancia"},"Resposta na Frequ\xeancia"),Object(m.b)("p",null,'Ao clicar sobre o bot\xe3o "Resposta na Frequ\xeancia" ser\xe1 exibido um formul\xe1rio para inser\xe7\xe3o dos par\xe2metros da ferramenta:'),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/injHarmCurrent.png"),alt:"Acesso \xe0 ferramentas resposta na frequ\xeancia",title:"Acesso \xe0 ferramentas resposta na frequ\xeancia"}))),Object(m.b)("h4",{id:"frequ\xeancia-inicial"},"Frequ\xeancia inicial"),Object(m.b)("p",null,"Define a frequ\xeancia inicial da varredura."),Object(m.b)("h4",{id:"frequ\xeancia-final"},"Frequ\xeancia final"),Object(m.b)("p",null,"Define a frequ\xeancia final da varredura."),Object(m.b)("h4",{id:"passo-de-frequ\xeancia"},"Passo de frequ\xeancia"),Object(m.b)("p",null,"Define o passo de incremento da frequ\xeancia. Passos menores ir\xe3o gerar gr\xe1ficos mais precisos, por\xe9m podem aumentar muito o tempo de execu\xe7\xe3o."),Object(m.b)("h4",{id:"corrente-injetada"},"Corrente injetada"),Object(m.b)("p",null,"Define o barramento o qual ser\xe1 injetada a corrente harm\xf4nica para an\xe1lise."),Object(m.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},'Esse campo pode ser entendido como: "',Object(m.b)("em",{parentName:"p"},"A resposta das imped\xe2ncias harm\xf4nicas vistas pelos barramentos do sistema caso tenha uma fonte de corrente harm\xf4nica na barra selecionada"),'".'))),Object(m.b)("h4",{id:"bot\xe3o-executar"},"Bot\xe3o Executar"),Object(m.b)("p",null,"Ao clicar no bot\xe3o executar a varredura ser\xe1 executada e os resultados exibidos no ",Object(m.b)("a",{parentName:"p",href:"graphViewer"},"vizualizador de gr\xe1ficos"),", como mostra a imagem abaixo."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/freqScanPlot.png"),alt:"Exemplo de resposta na frequ\xeancia",title:"Exemplo de resposta na frequ\xeancia"}))),Object(m.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Para visualizar a varredura da imped\xe2ncia harm\xf4nica de um barramento, essa op\xe7\xe3o deve ser habilitada em seu ",Object(m.b)("a",{parentName:"p",href:"bus#imprimir-imped%C3%A2ncia-harm%C3%B4nica-da-barra"},"formul\xe1rio de edi\xe7\xe3o de dados"),"."))),Object(m.b)("h2",{id:"c\xe1lculos-das-ferramentas-harm\xf4nicas"},"C\xe1lculos das ferramentas harm\xf4nicas"),Object(m.b)("p",null,"Ambos c\xe1lculos s\xe3o realizados a partir da seguinte equa\xe7\xe3o matricial:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mo",{parentName:"msup",stretchy:"false"},"]"),Object(m.b)("mi",{parentName:"msup"},"h")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"b"),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow"},"s"))),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mo",{parentName:"msup",stretchy:"false"},"]"),Object(m.b)("mi",{parentName:"msup"},"h")),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mo",{parentName:"msup",stretchy:"false"},"]"),Object(m.b)("mi",{parentName:"msup"},"h"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"[\\dot{I}]^h= [Y_{bus}]^h [\\dot{V}]^h")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.17019em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mopen"},"["),Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"mclose"},"]"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8991079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h")))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.17019em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mopen"},"["),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"u"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"mclose"},"]"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8991079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h")))))))),Object(m.b)("span",{parentName:"span",className:"mopen"},"["),Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"mclose"},"]"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8991079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h"))))))))))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mo",{parentName:"msup",stretchy:"false"},"]"),Object(m.b)("mi",{parentName:"msup"},"h"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"[\\dot{I}]^h")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.17019em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mopen"},"["),Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"mclose"},"]"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h")))))))))))),"\tVetor das correntes harm\xf4nicas injetadas nas barras"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"b"),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow"},"s"))),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mo",{parentName:"msup",stretchy:"false"},"]"),Object(m.b)("mi",{parentName:"msup"},"h"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"[Y_{bus}]^h")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.099108em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mopen"},"["),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"u"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"mclose"},"]"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h")))))))))))),"\tMatriz admit\xe2ncia harm\xf4nica de barras"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mo",{parentName:"msup",stretchy:"false"},"]"),Object(m.b)("mi",{parentName:"msup"},"h"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"[\\dot{V}]^h")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.17019em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mopen"},"["),Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"mclose"},"]"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h")))))))))))),"\tVetor das tens\xf5es harm\xf4nicas nas barras"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"h")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"h")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.69444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"))))),"\tOrdem harm\xf4nica")),Object(m.b)("p",null,"O vetor das correntes harm\xf4nicas injetadas \xe9 definido no programa utilizando um elemento de pot\xeancia, chamado \u201cfonte de corrente harm\xf4nica\u201d, em que o usu\xe1rio pode criar uma lista de correntes injetadas (em A e/ou ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},"."))))),") em um barramento."),Object(m.b)("p",null,"O programa define automaticamente as ordens harm\xf4nicas na simula\xe7\xe3o analisando todas as listas de fontes de corrente harm\xf4nicas previamente aos c\xe1lculos. Com isso s\xe3o calculadas as admit\xe2ncias harm\xf4nicas necess\xe1rias de cada elemento pela multiplica\xe7\xe3o das reat\xe2ncias indutivas (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"x"),Object(m.b)("mi",{parentName:"msubsup"},"l"),Object(m.b)("mn",{parentName:"msubsup"},"1"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_{l}^1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.097216em",verticalAlign:"-0.2831079999999999em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(m.b)("span",{parentName:"span"})))))))))),") e suscept\xe2ncias capacitivas (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"b"),Object(m.b)("mi",{parentName:"msubsup"},"c"),Object(m.b)("mn",{parentName:"msubsup"},"1"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"b_{c}^1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.061108em",verticalAlign:"-0.247em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))))))),") fundamentais de cada elemento pelas ordens harm\xf4nicas:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"x"),Object(m.b)("mi",{parentName:"msubsup"},"l"),Object(m.b)("mi",{parentName:"msubsup"},"h")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mi",{parentName:"mrow"},"h"),Object(m.b)("mo",{parentName:"mrow"},"\xd7"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"x"),Object(m.b)("mi",{parentName:"msubsup"},"l"),Object(m.b)("mn",{parentName:"msubsup"},"1")),Object(m.b)("mspace",{parentName:"mrow",linebreak:"newline"}),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"b"),Object(m.b)("mi",{parentName:"msubsup"},"c"),Object(m.b)("mi",{parentName:"msubsup"},"h")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mi",{parentName:"mrow"},"h"),Object(m.b)("mo",{parentName:"mrow"},"\xd7"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"b"),Object(m.b)("mi",{parentName:"msubsup"},"c"),Object(m.b)("mn",{parentName:"msubsup"},"1"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_{l}^h=h\xd7x_l^1\\\\ b_{c}^h=h\xd7b_c^1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.146108em",verticalAlign:"-0.247em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8991079999999998em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.77777em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\xd7"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.1111079999999998em",verticalAlign:"-0.247em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mspace newline"}),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.146108em",verticalAlign:"-0.247em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8991079999999998em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.77777em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\xd7"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.1111079999999998em",verticalAlign:"-0.247em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"b"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8641079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"}))))))))))),Object(m.b)("p",null,"Uma vez calculadas as admit\xe2ncias harm\xf4nicas, s\xe3o utilizados os mesmos modelos e algoritmos convencionais para constru\xe7\xe3o da ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"Y"),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"b"),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow"},"s")),Object(m.b)("mi",{parentName:"msubsup"},"h"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Y_{bus}^h")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.132216em",verticalAlign:"-0.2831079999999999em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"u"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2831079999999999em"}},Object(m.b)("span",{parentName:"span"})))))))))),"."),Object(m.b)("p",null,"A equa\xe7\xe3o matricial \xe9 resolvida usando o m\xe9todo de elimina\xe7\xe3o gaussiana para evitar a invers\xe3o de cada matriz de admit\xe2ncia harm\xf4nica. Este procedimento torna o c\xe1lculo das tens\xf5es harm\xf4nicas computacionalmente eficiente."),Object(m.b)("p",null,"Uma vez calculadas as tens\xf5es harm\xf4nicas, a THD em uma barra gen\xe9rica ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"i")))))," pode ser definida por:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mtext",{parentName:"msub"},"THD"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("munderover",{parentName:"mrow"},Object(m.b)("mo",{parentName:"munderover"},"\u2211"),Object(m.b)("mrow",{parentName:"munderover"},Object(m.b)("mi",{parentName:"mrow"},"h"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mn",{parentName:"mrow"},"2")),Object(m.b)("mi",{parentName:"munderover"},"n")),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"V"),Object(m.b)("mi",{parentName:"msubsup"},"i"),Object(m.b)("mi",{parentName:"msubsup"},"h"))),Object(m.b)("msubsup",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msubsup"},"V"),Object(m.b)("mi",{parentName:"msubsup"},"i"),Object(m.b)("mn",{parentName:"msubsup"},"1")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\text{THD}_i=\\dfrac{\\sum_{h=2}^{n} V_{i}^h}{V_i^1}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"THD")),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.5016819999999997em",verticalAlign:"-0.9628639999999999em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.538818em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.7959080000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0448000000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.27686399999999994em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.6897100000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mop"},Object(m.b)("span",{parentName:"span",className:"mop op-symbol small-op",style:{position:"relative",top:"-0.0000050000000000050004em"}},"\u2211"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.804292em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.40029em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h"),Object(m.b)("span",{parentName:"span",className:"mrel mtight"},"="),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.2029em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.29971000000000003em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.849108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.441336em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"h")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.258664em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9628639999999999em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("p",null,"Na ferramenta de Resposta na Frequ\xeancia uma corrente senoidal \xe9 injetada na barra em uma faixa de frequ\xeancias e o conjunto de equa\xe7\xf5es matriciais \xe9 usado para calcular a resposta da tens\xe3o. Este c\xe1lculo \xe9 repetido em etapas discretas cobrindo o espectro de frequ\xeancia especificado."),Object(m.b)("p",null,"O programa usa a matriz admit\xe2ncia de sequ\xeancia positiva e uma corrente injetada de ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1{,}0 p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))," tamb\xe9m de sequ\xeancia positiva na equa\xe7\xe3o matricial para calcular diretamente as imped\xe2ncias em p.u."),Object(m.b)("h2",{id:"refer\xeancias"},"Refer\xeancias"),Object(m.b)("ol",null,Object(m.b)("li",{parentName:"ol"},"ARRILLAGA, J.; WATSON, N. R. Power System Harmonics. John Wiley & Sons; Chichester, 2003. doi: ",Object(m.b)("a",{parentName:"li",href:"https://doi.org/10.1002/0470871229"},"https://doi.org/10.1002/0470871229"))))}l.isMDXComponent=!0},140:function(a,e,t){"use strict";t.d(e,"a",(function(){return l})),t.d(e,"b",(function(){return O}));var s=t(0),n=t.n(s);function m(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function p(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(a);e&&(s=s.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,s)}return t}function r(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?p(Object(t),!0).forEach((function(e){m(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):p(Object(t)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(t,e))}))}return a}function c(a,e){if(null==a)return{};var t,s,n=function(a,e){if(null==a)return{};var t,s,n={},m=Object.keys(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||(n[t]=a[t]);return n}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(n[t]=a[t])}return n}var b=n.a.createContext({}),i=function(a){var e=n.a.useContext(b),t=e;return a&&(t="function"==typeof a?a(e):r(r({},e),a)),t},l=function(a){var e=i(a.components);return n.a.createElement(b.Provider,{value:e},a.children)},N={inlineCode:"code",wrapper:function(a){var e=a.children;return n.a.createElement(n.a.Fragment,{},e)}},o=n.a.forwardRef((function(a,e){var t=a.components,s=a.mdxType,m=a.originalType,p=a.parentName,b=c(a,["components","mdxType","originalType","parentName"]),l=i(t),o=s,O=l["".concat(p,".").concat(o)]||l[o]||N[o]||m;return t?n.a.createElement(O,r(r({ref:e},b),{},{components:t})):n.a.createElement(O,r({ref:e},b))}));function O(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var m=t.length,p=new Array(m);p[0]=o;var r={};for(var c in e)hasOwnProperty.call(e,c)&&(r[c]=e[c]);r.originalType=a,r.mdxType="string"==typeof a?a:s,p[1]=r;for(var b=2;b<m;b++)p[b]=t[b];return n.a.createElement.apply(null,p)}return n.a.createElement.apply(null,t)}o.displayName="MDXCreateElement"},141:function(a,e,t){"use strict";t.d(e,"b",(function(){return m})),t.d(e,"a",(function(){return p}));var s=t(16),n=t(142);function m(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(s.default)();return{withBaseUrl:(t,s)=>function(a,e,t,{forcePrependBaseUrl:s=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(s)return e+t;const p=t.startsWith(e)?t:e+t.replace(/^\//,"");return m?a+p:p}(e,a,t,s)}}function p(a,e={}){const{withBaseUrl:t}=m();return t(a,e)}},142:function(a,e,t){"use strict";function s(a){return!0===/^(\w*:|\/\/)/.test(a)}function n(a){return void 0!==a&&!s(a)}t.d(e,"b",(function(){return s})),t.d(e,"a",(function(){return n}))},143:function(a,e,t){"use strict";function s(a){var e,t,n="";if("string"==typeof a||"number"==typeof a)n+=a;else if("object"==typeof a)if(Array.isArray(a))for(e=0;e<a.length;e++)a[e]&&(t=s(a[e]))&&(n&&(n+=" "),n+=t);else for(e in a)a[e]&&(n&&(n+=" "),n+=e);return n}e.a=function(){for(var a,e,t=0,n="";t<arguments.length;)(a=arguments[t++])&&(e=s(a))&&(n&&(n+=" "),n+=e);return n}},144:function(a,e,t){"use strict";var s=t(0),n=t(145);e.a=function(){const a=Object(s.useContext)(n.a);if(null==a)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return a}},145:function(a,e,t){"use strict";var s=t(0);const n=Object(s.createContext)(void 0);e.a=n},146:function(a,e,t){"use strict";var s=t(0),n=t.n(s),m=t(144),p=t(143),r=t(56),c=t.n(r);const b=37,i=39;e.a=function(a){const{lazy:e,block:t,defaultValue:r,values:l,groupId:N,className:o}=a,{tabGroupChoices:O,setTabGroupChoices:j}=Object(m.a)(),[h,d]=Object(s.useState)(r),u=s.Children.toArray(a.children),g=[];if(null!=N){const a=O[N];null!=a&&a!==h&&l.some((e=>e.value===a))&&d(a)}const v=a=>{const e=a.target,t=g.indexOf(e),s=u[t].props.value;d(s),null!=N&&(j(N,s),setTimeout((()=>{(function(a){const{top:e,left:t,bottom:s,right:n}=a.getBoundingClientRect(),{innerHeight:m,innerWidth:p}=window;return e>=0&&n<=p&&s<=m&&t>=0})(e)||(e.scrollIntoView({block:"center",behavior:"smooth"}),e.classList.add(c.a.tabItemActive),setTimeout((()=>e.classList.remove(c.a.tabItemActive)),2e3))}),150))},f=a=>{var e;let t;switch(a.keyCode){case i:const e=g.indexOf(a.target)+1;t=g[e]||g[0];break;case b:const s=g.indexOf(a.target)-1;t=g[s]||g[g.length-1]}null===(e=t)||void 0===e||e.focus()};return n.a.createElement("div",{className:"tabs-container"},n.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(p.a)("tabs",{"tabs--block":t},o)},l.map((({value:a,label:e})=>n.a.createElement("li",{role:"tab",tabIndex:h===a?0:-1,"aria-selected":h===a,className:Object(p.a)("tabs__item",c.a.tabItem,{"tabs__item--active":h===a}),key:a,ref:a=>g.push(a),onKeyDown:f,onFocus:v,onClick:v},e)))),e?Object(s.cloneElement)(u.filter((a=>a.props.value===h))[0],{className:"margin-vert--md"}):n.a.createElement("div",{className:"margin-vert--md"},u.map(((a,e)=>Object(s.cloneElement)(a,{key:e,hidden:a.props.value!==h})))))}},147:function(a,e,t){"use strict";var s=t(0),n=t.n(s);e.a=function({children:a,hidden:e,className:t}){return n.a.createElement("div",{role:"tabpanel",hidden:e,className:t},a)}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/ccc49370.8f79fb70.js b/docs/assets/js/ccc49370.8f79fb70.js
new file mode 100644
index 0000000..0a0425f
--- /dev/null
+++ b/docs/assets/js/ccc49370.8f79fb70.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[43],{138:function(e,t,a){"use strict";a.r(t);var n=a(0),l=a.n(n),r=a(152),i=a(163),o=a(149),c=a(150);var s=function(e){const{nextItem:t,prevItem:a}=e;return l.a.createElement("nav",{className:"pagination-nav","aria-label":Object(o.b)({id:"theme.blog.post.paginator.navAriaLabel",message:"Blog post page navigation",description:"The ARIA label for the blog posts pagination"})},l.a.createElement("div",{className:"pagination-nav__item"},a&&l.a.createElement(c.a,{className:"pagination-nav__link",to:a.permalink},l.a.createElement("div",{className:"pagination-nav__sublabel"},l.a.createElement(o.a,{id:"theme.blog.post.paginator.newerPost",description:"The blog post button label to navigate to the newer/previous post"},"Newer Post")),l.a.createElement("div",{className:"pagination-nav__label"},"\xab ",a.title))),l.a.createElement("div",{className:"pagination-nav__item pagination-nav__item--next"},t&&l.a.createElement(c.a,{className:"pagination-nav__link",to:t.permalink},l.a.createElement("div",{className:"pagination-nav__sublabel"},l.a.createElement(o.a,{id:"theme.blog.post.paginator.olderPost",description:"The blog post button label to navigate to the older/next post"},"Older Post")),l.a.createElement("div",{className:"pagination-nav__label"},t.title," \xbb"))))},m=a(155),d=a(168),p=a(169);t.default=function(e){const{content:t,sidebar:a}=e,{frontMatter:n,metadata:o}=t,{title:c,description:u,nextItem:v,prevItem:g,editUrl:E}=o,{hide_table_of_contents:b}=n;return l.a.createElement(r.a,{title:c,description:u,wrapperClassName:"blog-wrapper"},t&&l.a.createElement("div",{className:"container margin-vert--lg"},l.a.createElement("div",{className:"row"},l.a.createElement("div",{className:"col col--3"},l.a.createElement(m.a,{sidebar:a})),l.a.createElement("main",{className:"col col--7"},l.a.createElement(i.a,{frontMatter:n,metadata:o,isBlogPostPage:!0},l.a.createElement(t,null)),l.a.createElement("div",null,E&&l.a.createElement(p.a,{editUrl:E})),(v||g)&&l.a.createElement("div",{className:"margin-vert--xl"},l.a.createElement(s,{nextItem:v,prevItem:g}))),!b&&t.toc&&l.a.createElement("div",{className:"col col--2"},l.a.createElement(d.a,{toc:t.toc})))))}},168:function(e,t,a){"use strict";var n=a(0),l=a.n(n),r=a(143);var i=function(e,t,a){const[l,r]=Object(n.useState)(void 0);Object(n.useEffect)((()=>{function n(){const n=function(){const e=Array.from(document.getElementsByClassName("anchor")),t=e.find((e=>{const{top:t}=e.getBoundingClientRect();return t>=a}));if(t){if(t.getBoundingClientRect().top>=a){const a=e[e.indexOf(t)-1];return null!=a?a:t}return t}return e[e.length-1]}();if(n){let a=0,i=!1;const o=document.getElementsByClassName(e);for(;a<o.length&&!i;){const e=o[a],{href:c}=e,s=decodeURIComponent(c.substring(c.indexOf("#")+1));n.id===s&&(l&&l.classList.remove(t),e.classList.add(t),r(e),i=!0),a+=1}}}return document.addEventListener("scroll",n),document.addEventListener("resize",n),n(),()=>{document.removeEventListener("scroll",n),document.removeEventListener("resize",n)}}))},o=a(58),c=a.n(o);const s="table-of-contents__link";function m({toc:e,isChild:t}){return e.length?l.a.createElement("ul",{className:t?"":"table-of-contents table-of-contents__left-border"},e.map((e=>l.a.createElement("li",{key:e.id},l.a.createElement("a",{href:`#${e.id}`,className:s,dangerouslySetInnerHTML:{__html:e.value}}),l.a.createElement(m,{isChild:!0,toc:e.children}))))):null}t.a=function({toc:e}){return i(s,"table-of-contents__link--active",100),l.a.createElement("div",{className:Object(r.a)(c.a.tableOfContents,"thin-scrollbar")},l.a.createElement(m,{toc:e}))}},169:function(e,t,a){"use strict";a.d(t,"a",(function(){return d}));var n=a(0),l=a.n(n),r=a(149),i=a(3),o=a(143),c=a(59),s=a.n(c);var m=({className:e,...t})=>l.a.createElement("svg",Object(i.a)({fill:"currentColor",height:"1.2em",width:"1.2em",preserveAspectRatio:"xMidYMid meet",role:"img",viewBox:"0 0 40 40",className:Object(o.a)(s.a.iconEdit,e),"aria-label":"Edit page"},t),l.a.createElement("g",null,l.a.createElement("path",{d:"m34.5 11.7l-3 3.1-6.3-6.3 3.1-3q0.5-0.5 1.2-0.5t1.1 0.5l3.9 3.9q0.5 0.4 0.5 1.1t-0.5 1.2z m-29.5 17.1l18.4-18.5 6.3 6.3-18.4 18.4h-6.3v-6.2z"})));function d({editUrl:e}){return l.a.createElement("a",{href:e,target:"_blank",rel:"noreferrer noopener"},l.a.createElement(m,null),l.a.createElement(r.a,{id:"theme.common.editThisPage",description:"The link label to edit the current page"},"Edit this page"))}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/d463bbea.41a8a567.js b/docs/assets/js/d463bbea.41a8a567.js
new file mode 100644
index 0000000..edf5b3e
--- /dev/null
+++ b/docs/assets/js/d463bbea.41a8a567.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[44],{118:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return i})),r.d(t,"metadata",(function(){return u})),r.d(t,"toc",(function(){return c})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),i={title:"2020w31a-beta",author:"Thales",author_title:"PhD",author_url:"https://github.com/thales1330",author_image_url:"https://avatars0.githubusercontent.com/u/16141330?s=460&v=4",tags:["psp-ufu"]},u={permalink:"/PSP/blog/2020/08/01/2020w31a-beta",editUrl:"https://github.com/Thales1330/PSP/tree/master/docs/blog/2020-08-01-2020w31a-beta.md",source:"@site/blog/2020-08-01-2020w31a-beta.md",description:"- \ud83d\udd25 PSP-UFU online user guide finally written (only in Brazilian Portuguese, if you want to help me translate this guide, contact-me on GitHub or Twitter);",date:"2020-08-01T00:00:00.000Z",formattedDate:"July 31, 2020",tags:[{label:"psp-ufu",permalink:"/PSP/blog/tags/psp-ufu"}],title:"2020w31a-beta",readingTime:.265,truncated:!1,nextItem:{title:"2020w28a-beta",permalink:"/PSP/blog/2020/07/09/2020w28a-beta"}},c=[],l={toc:c};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"\ud83d\udd25 PSP-UFU online user guide finally written (only in Brazilian Portuguese, if you want to help me translate this guide, contact-me on ",Object(o.b)("a",{parentName:"li",href:"https://github.com/Thales1330/PSP/issues"},"GitHub")," or ",Object(o.b)("a",{parentName:"li",href:"https://twitter.com/PspUfu"},"Twitter"),");"),Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f New fancy ",Object(o.b)("a",{parentName:"li",href:"https://thales1330.github.io/PSP/"},"PSP-UFU website")," and ",Object(o.b)("a",{parentName:"li",href:"https://thales1330.github.io/PSP/blog"},"changelog")," using ",Object(o.b)("a",{parentName:"li",href:"https://v2.docusaurus.io/"},"docusaurus"),";"),Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f Text element performance improved for OpenGL render;"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udc1b Several major and minor bug fixes.")))}p.isMDXComponent=!0},140:function(e,t,r){"use strict";r.d(t,"a",(function(){return s})),r.d(t,"b",(function(){return m}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function u(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?i(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):i(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function c(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):u(u({},t),e)),r},s=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},b={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},f=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,i=e.parentName,l=c(e,["components","mdxType","originalType","parentName"]),s=p(r),f=n,m=s["".concat(i,".").concat(f)]||s[f]||b[f]||o;return r?a.a.createElement(m,u(u({ref:t},l),{},{components:r})):a.a.createElement(m,u({ref:t},l))}));function m(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,i=new Array(o);i[0]=f;var u={};for(var c in t)hasOwnProperty.call(t,c)&&(u[c]=t[c]);u.originalType=e,u.mdxType="string"==typeof e?e:n,i[1]=u;for(var l=2;l<o;l++)i[l]=r[l];return a.a.createElement.apply(null,i)}return a.a.createElement.apply(null,r)}f.displayName="MDXCreateElement"}}]);
\ No newline at end of file
diff --git a/docs/assets/js/d50d565c.e778d388.js b/docs/assets/js/d50d565c.e778d388.js
new file mode 100644
index 0000000..1fe9496
--- /dev/null
+++ b/docs/assets/js/d50d565c.e778d388.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[45],{119:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return c})),r.d(t,"metadata",(function(){return i})),r.d(t,"toc",(function(){return u})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),c={title:"2020w28a-beta",author:"Thales",author_title:"PhD",author_url:"https://github.com/thales1330",author_image_url:"https://avatars0.githubusercontent.com/u/16141330?s=460&v=4",tags:["psp-ufu"]},i={permalink:"/PSP/blog/2020/07/09/2020w28a-beta",editUrl:"https://github.com/Thales1330/PSP/tree/master/docs/blog/2020-07-09-2020w28a-beta.md",source:"@site/blog/2020-07-09-2020w28a-beta.md",description:"- \ud83d\udd25 Voltage heatmap implemented (OpenGL enabled);",date:"2020-07-09T00:00:00.000Z",formattedDate:"July 8, 2020",tags:[{label:"psp-ufu",permalink:"/PSP/blog/tags/psp-ufu"}],title:"2020w28a-beta",readingTime:.07,truncated:!1,prevItem:{title:"2020w31a-beta",permalink:"/PSP/blog/2020/08/01/2020w31a-beta"},nextItem:{title:"2020w24a-beta",permalink:"/PSP/blog/2020/06/13/2020w24a-beta"}},u=[],l={toc:u};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"\ud83d\udd25 Voltage heatmap implemented (OpenGL enabled);"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udc1b Several major and minor bugfixes.")))}p.isMDXComponent=!0},140:function(e,t,r){"use strict";r.d(t,"a",(function(){return b})),r.d(t,"b",(function(){return s}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function c(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function i(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?c(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):c(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function u(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):i(i({},t),e)),r},b=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},m={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},f=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,c=e.parentName,l=u(e,["components","mdxType","originalType","parentName"]),b=p(r),f=n,s=b["".concat(c,".").concat(f)]||b[f]||m[f]||o;return r?a.a.createElement(s,i(i({ref:t},l),{},{components:r})):a.a.createElement(s,i({ref:t},l))}));function s(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,c=new Array(o);c[0]=f;var i={};for(var u in t)hasOwnProperty.call(t,u)&&(i[u]=t[u]);i.originalType=e,i.mdxType="string"==typeof e?e:n,c[1]=i;for(var l=2;l<o;l++)c[l]=r[l];return a.a.createElement.apply(null,c)}return a.a.createElement.apply(null,r)}f.displayName="MDXCreateElement"}}]);
\ No newline at end of file
diff --git a/docs/assets/js/d537ea54.f6f28e89.js b/docs/assets/js/d537ea54.f6f28e89.js
new file mode 100644
index 0000000..3124aea
--- /dev/null
+++ b/docs/assets/js/d537ea54.f6f28e89.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[46],{120:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return i})),r.d(t,"metadata",(function(){return c})),r.d(t,"toc",(function(){return u})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),i={title:"22019w44a-beta",author:"Thales",author_title:"PhD",author_url:"https://github.com/thales1330",author_image_url:"https://avatars0.githubusercontent.com/u/16141330?s=460&v=4",tags:["psp-ufu"]},c={permalink:"/PSP/blog/2019/11/01/2019w44a-beta",editUrl:"https://github.com/Thales1330/PSP/tree/master/docs/blog/2019-11-01-2019w44a-beta.md",source:"@site/blog/2019-11-01-2019w44a-beta.md",description:"- \u2714\ufe0f Minor changes to 32bit MSW version for compatibility;",date:"2019-11-01T00:00:00.000Z",formattedDate:"October 31, 2019",tags:[{label:"psp-ufu",permalink:"/PSP/blog/tags/psp-ufu"}],title:"22019w44a-beta",readingTime:.09,truncated:!1,prevItem:{title:"2020w24a-beta",permalink:"/PSP/blog/2020/06/13/2020w24a-beta"},nextItem:{title:"2019w42a-beta",permalink:"/PSP/blog/2019/10/13/2019w42a-beta"}},u=[],l={toc:u};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f Minor changes to 32bit MSW version for compatibility;"),Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f Travis CI (Continuous Integration) implemented (Linux).")))}p.isMDXComponent=!0},140:function(e,t,r){"use strict";r.d(t,"a",(function(){return b})),r.d(t,"b",(function(){return m}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function c(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?i(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):i(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function u(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):c(c({},t),e)),r},b=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},s={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},f=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,i=e.parentName,l=u(e,["components","mdxType","originalType","parentName"]),b=p(r),f=n,m=b["".concat(i,".").concat(f)]||b[f]||s[f]||o;return r?a.a.createElement(m,c(c({ref:t},l),{},{components:r})):a.a.createElement(m,c({ref:t},l))}));function m(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,i=new Array(o);i[0]=f;var c={};for(var u in t)hasOwnProperty.call(t,u)&&(c[u]=t[u]);c.originalType=e,c.mdxType="string"==typeof e?e:n,i[1]=c;for(var l=2;l<o;l++)i[l]=r[l];return a.a.createElement.apply(null,i)}return a.a.createElement.apply(null,r)}f.displayName="MDXCreateElement"}}]);
\ No newline at end of file
diff --git a/docs/assets/js/d5f3ae99.afb8a1f5.js b/docs/assets/js/d5f3ae99.afb8a1f5.js
new file mode 100644
index 0000000..8267db8
--- /dev/null
+++ b/docs/assets/js/d5f3ae99.afb8a1f5.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[47],{121:function(e,a,t){"use strict";t.r(a),t.d(a,"frontMatter",(function(){return r})),t.d(a,"metadata",(function(){return c})),t.d(a,"toc",(function(){return b})),t.d(a,"default",(function(){return l}));var s=t(3),n=t(7),m=(t(0),t(140)),p=t(141),r={id:"controlEditor",title:"Editor de Controle",sidebar_label:"Editor de Controle"},c={unversionedId:"controlEditor",id:"controlEditor",isDocsHomePage:!1,title:"Editor de Controle",description:"Os controles das m\xe1quinas s\xedncronas s\xe3o criados, modificados, importados e exportados em um editor distinto dos elementos de pot\xeancia, apresentado na figura abaixo.",source:"@site/docs/controlEditor.md",slug:"/controlEditor",permalink:"/PSP/docs/controlEditor",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/controlEditor.md",version:"current",sidebar_label:"Editor de Controle",sidebar:"docs",previous:{title:"Motor de Indu\xe7\xe3o",permalink:"/PSP/docs/indMotor"},next:{title:"Entrada / Sa\xedda",permalink:"/PSP/docs/io"}},b=[{value:"Elementos de Controle",id:"elementos-de-controle",children:[]},{value:"Inicializa\xe7\xe3o do sistema de controle",id:"inicializa\xe7\xe3o-do-sistema-de-controle",children:[]},{value:"Teste do diagrama de controle",id:"teste-do-diagrama-de-controle",children:[]}],i={toc:b};function l(e){var a=e.components,t=Object(n.a)(e,["components"]);return Object(m.b)("wrapper",Object(s.a)({},i,t,{components:a,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("p",null,"Os controles das ",Object(m.b)("a",{parentName:"p",href:"syncGenerator"},"m\xe1quinas s\xedncronas")," s\xe3o criados, modificados, importados e exportados em um editor distinto dos elementos de pot\xeancia, apresentado na figura abaixo."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/controlEditor.png"),alt:"Editor de elementos de controle do PSP-UFU",title:"Editor de elementos de controle do PSP-UFU"}))),Object(m.b)("p",null,"O acesso ao editor \xe9 realizado por meio de dois bot\xf5es presentes no ",Object(m.b)("a",{parentName:"p",href:"syncGenerator#formul%C3%A1rio-de-edi%C3%A7%C3%A3o-dos-geradores-s%C3%ADncronos"},"formul\xe1rio de edi\xe7\xe3o dos dados de estabilidade dos geradores s\xedncronos"),":"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"syncGenerator#utilizar-avr-e-regulador-de-velocidade"},"Editar AVR")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"syncGenerator#utilizar-avr-e-regulador-de-velocidade"},"Editar regulador de velocidade"))),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"No PSP-UFU a op\xe7\xe3o de editar o ",Object(m.b)("strong",{parentName:"p"},"AVR")," engloba mais que somente o controle de tens\xe3o da m\xe1quina. Nele ",Object(m.b)("strong",{parentName:"p"},"deve")," ser inserida a malha de controle da m\xe1quina assim como a ",Object(m.b)("strong",{parentName:"p"},"excitatriz da m\xe1quina s\xedncrona"),". Outras estrat\xe9gias de controle (opcionais), como PSS (",Object(m.b)("em",{parentName:"p"},"Power System Stabilizer"),") e/ou controles de sobre e sub excita\xe7\xe3o, s\xe3o tamb\xe9m implementadas em conjunto (como apresentado na figura anterior)."))),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Assim como no AVR, o ",Object(m.b)("strong",{parentName:"p"},"Regulador de Velocidade")," engloba mais que a regula\xe7\xe3o prim\xe1ria da m\xe1quina. Nessa op\xe7\xe3o ",Object(m.b)("strong",{parentName:"p"},"deve")," ser inserida ao menos a malha de controle da regula\xe7\xe3o prim\xe1ria de velocidade, assim como o ",Object(m.b)("strong",{parentName:"p"},"modelo da turbina"),". Estrat\xe9gias opcionais de controle da velocidade tamb\xe9m s\xe3o inseridas nessa op\xe7\xe3o."))),Object(m.b)("h2",{id:"elementos-de-controle"},"Elementos de Controle"),Object(m.b)("p",null,"O acesso aos elementos de controle \xe9 realizado em uma janela (remov\xedvel e encaix\xe1vel) por meio de \xedcones relacionados."),Object(m.b)("p",null,"Uma vez que o usu\xe1rio clicar no \xedcone desejado, o elemento de controle acompanhar\xe1 o ponteiro do mouse at\xe9 ser efetivamente inserido na posi\xe7\xe3o desejada ao clicar novamente na \xe1rea de trabalho. Os elementos s\xe3o ent\xe3o conectados por \u201clinhas de conex\xe3o\u201d inseridas ao clicar nos n\xf3s dos componentes previamente adicionados, permitindo a constru\xe7\xe3o da rede de controle gen\xe9rica."),Object(m.b)("p",null,"As ferramentas de manipula\xe7\xe3o e navega\xe7\xe3o, como arrastar, mover e excluir s\xe3o ",Object(m.b)("a",{parentName:"p",href:"cadTools"},"herdadas")," do ",Object(m.b)("a",{parentName:"p",href:"powerEditor"},"editor de elementos de pot\xeancia"),", possuindo comportamento id\xeantico. A ",Object(m.b)("strong",{parentName:"p"},"edi\xe7\xe3o dos dados")," dos componentes inseridos tamb\xe9m \xe9 realizada com ",Object(m.b)("strong",{parentName:"p"},"duplo clique")," sobre o elemento inserido, exibindo um formul\xe1rio de edi\xe7\xe3o de dados."),Object(m.b)("video",{autoPlay:!0,loop:!0,muted:!0,playsInline:!0,controls:!0},Object(m.b)("source",{src:"/PSP/videos/timelapseControlEditor.mp4",type:"video/mp4"}),Object(m.b)("source",{src:"/PSP/videos/timelapseControlEditor.webm",type:"video/webm"})),Object(m.b)("p",null,"Os seguintes blocos de controle est\xe3o presentes no PSP-UFU:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"io"},"Entrada e Sa\xedda")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"transferFunction"},"Fun\xe7\xe3o Transfer\xeancia")),Object(m.b)("li",{parentName:"ul"},"Matem\xe1tica",Object(m.b)("ul",{parentName:"li"},Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"sum"},"Somador")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"multiplier"},"Multiplicador")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"divider"},"Divisor")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"exponential"},"Exponencial")))),Object(m.b)("li",{parentName:"ul"},"Limitadores",Object(m.b)("ul",{parentName:"li"},Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"limiter"},"Limitador absoluto")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"rateLimiter"},"Limitador de taxa")))),Object(m.b)("li",{parentName:"ul"},"Constantes",Object(m.b)("ul",{parentName:"li"},Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"const"},"Constante")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"gain"},"Ganho")))),Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"mathExpression"},"Express\xe3o Matem\xe1tica"))),Object(m.b)("h2",{id:"inicializa\xe7\xe3o-do-sistema-de-controle"},"Inicializa\xe7\xe3o do sistema de controle"),Object(m.b)("p",null,"Caso as entradas do sistema de controle apresentem valores diferentes de zero ou a primeira opera\xe7\xe3o entre elas n\xe3o resulte em uma sa\xedda nula, o sistema necessita de inicializa\xe7\xe3o, de forma a adequar os valores de entradas e sa\xedda dos blocos elementares e dos vetores de estado das ",Object(m.b)("a",{parentName:"p",href:"transferFunction"},"fun\xe7\xf5es transfer\xeancias")," presentes. Tal procedimento \xe9 realizado por meio da solu\xe7\xe3o de toda rede de controle at\xe9 que se obtenha sua converg\xeancia, ou seja, a diferen\xe7a absoluta entre as mesmas sa\xeddas de uma solu\xe7\xe3o anterior e uma atual deve ser nula ou muito pr\xf3xima de zero."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"info")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"O processo de ",Object(m.b)("strong",{parentName:"p"},"inicializa\xe7\xe3o \xe9 realizada automaticamente")," pelo PSP-UFU."),Object(m.b)("p",{parentName:"div"},"Uma vez que a inicializa\xe7\xe3o \xe9 imposta pelas ",Object(m.b)("a",{parentName:"p",href:"io"},"entradas")," do controle, erros de converg\xeancia podem ocorrer devido \xe0 m\xe1 parametriza\xe7\xe3o dos elementos dos sistemas de ",Object(m.b)("strong",{parentName:"p"},"pot\xeancia e controle"),"."))),Object(m.b)("p",null,"Para otimizar e melhorar a estabilidade do processo de inicializa\xe7\xe3o utilizou-se um passo de integra\xe7\xe3o vari\xe1vel dentro de limites, de forma que o passo aumenta em condi\xe7\xf5es de diferen\xe7as menores entre as solu\xe7\xf5es do sistema de controle e diminui caso essa diferen\xe7a se torne elevada. A implementa\xe7\xe3o dessa abordagem reduziu significativamente o encerramento do processo com erro causado pela instabilidade num\xe9rica, al\xe9m de acelerar a inicializa\xe7\xe3o."),Object(m.b)("p",null,"O fluxograma abaixo evidencia o processo de inicializa\xe7\xe3o implementado no PSP-UFU:"),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/controlInit.png"),alt:"Estrutura da inicializa\xe7\xe3o do sistema de controle",title:"Estrutura da inicializa\xe7\xe3o do sistema de controle"}))),Object(m.b)("h2",{id:"teste-do-diagrama-de-controle"},"Teste do diagrama de controle"),Object(m.b)("p",null,'Na parte inferior esquerda do Editor de Controle est\xe1 presente o bot\xe3o "',Object(m.b)("strong",{parentName:"p"},"Testar Sistema..."),'". O bot\xe3o acessa o formul\xe1rio de teste de controles, como \xe9 indicado na figura abaixo:'),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/testControl.png"),alt:"Formul\xe1rio de teste de controles",title:"Formul\xe1rio de teste de controles"}))),Object(m.b)("p",null,"Nesse formul\xe1rio \xe9 poss\xedvel inserir o comportamento de ",Object(m.b)("strong",{parentName:"p"},"todas as entradas do diagrama"),":"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Tipo de entrada"),': Define um dos tipos de entradas poss\xedveis no PSP-UFU: "Passo (',Object(m.b)("em",{parentName:"li"},"Step"),')", Rampa (',Object(m.b)("em",{parentName:"li"},"Ramp"),") ou Quadr\xe1tica (",Object(m.b)("em",{parentName:"li"},"Quadratic"),");"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Tempo de in\xedcio (",Object(m.b)("span",{parentName:"strong",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"t"),Object(m.b)("mi",{parentName:"msub"},"i"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"t_i")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.76508em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),")"),": Define o tempo de in\xedcio na simula\xe7\xe3o da entrada definida. As entradas iniciais s\xe3o sempre definidas como zero e assumem valores diferentes ap\xf3s o tempo de in\xedcio;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Inclina\xe7\xe3o (",Object(m.b)("span",{parentName:"strong",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03b1")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\alpha")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.0037em"}},"\u03b1"))))),")"),": Valor relacionado ao tipo de entrada:",Object(m.b)("ul",{parentName:"li"},Object(m.b)("li",{parentName:"ul"},'Para entrada do tipo "Passo" - O valor da inclina\xe7\xe3o define o valor final do passo:',Object(m.b)("div",{parentName:"li",className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"Se\xa0"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow"},"<"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"t"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mo",{parentName:"mrow"},"\u2192"),Object(m.b)("mi",{parentName:"mrow"},"f"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true"},","),Object(m.b)("mn",{parentName:"mrow"},"0"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"Se\xa0"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow"},"\u2265"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"t"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mo",{parentName:"mrow"},"\u2192"),Object(m.b)("mi",{parentName:"mrow"},"f"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mi",{parentName:"mrow"},"\u03b1"))))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{cases} \\text{Se~} t < t_i \\rightarrow f(t) = 0,0\\\\ \\text{Se~} t \\ge t_i \\rightarrow f(t) = \\alpha \\end{cases}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"3.0000299999999998em",verticalAlign:"-1.25003em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size4"},"{")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-l"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.69em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.69em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"Se"),Object(m.b)("span",{parentName:"span",className:"mord nobreak"},"\xa0")),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"<"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2192"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(m.b)("span",{parentName:"span",className:"mopen"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mclose"},")"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mpunct"},","),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.25em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"Se"),Object(m.b)("span",{parentName:"span",className:"mord nobreak"},"\xa0")),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2265"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2192"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(m.b)("span",{parentName:"span",className:"mopen"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mclose"},")"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.0037em"}},"\u03b1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.19em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))))),Object(m.b)("li",{parentName:"ul"},'Para entrada do tipo "Rampa" - define o coeficiente de inclina\xe7\xe3o da reta:',Object(m.b)("div",{parentName:"li",className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"Se\xa0"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow"},"<"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"t"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mo",{parentName:"mrow"},"\u2192"),Object(m.b)("mi",{parentName:"mrow"},"f"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true"},","),Object(m.b)("mn",{parentName:"mrow"},"0"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"Se\xa0"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow"},"\u2265"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"t"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mo",{parentName:"mrow"},"\u2192"),Object(m.b)("mi",{parentName:"mrow"},"f"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mi",{parentName:"mrow"},"\u03b1"),Object(m.b)("mo",{parentName:"mrow"},"\xd7"),Object(m.b)("mi",{parentName:"mrow"},"t"))))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{cases} \\text{Se~} t < t_i \\rightarrow f(t) = 0,0\\\\ \\text{Se~} t \\ge t_i \\rightarrow f(t) = \\alpha \\times t \\end{cases}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"3.0000299999999998em",verticalAlign:"-1.25003em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size4"},"{")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-l"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.69em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.69em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"Se"),Object(m.b)("span",{parentName:"span",className:"mord nobreak"},"\xa0")),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"<"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2192"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(m.b)("span",{parentName:"span",className:"mopen"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mclose"},")"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mpunct"},","),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.25em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"Se"),Object(m.b)("span",{parentName:"span",className:"mord nobreak"},"\xa0")),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2265"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2192"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(m.b)("span",{parentName:"span",className:"mopen"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mclose"},")"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.0037em"}},"\u03b1"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\xd7"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.19em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))))),Object(m.b)("li",{parentName:"ul"},'Para entrada do tipo "Quadr\xe1tica" - define o coeficiente de crescimento da curva:',Object(m.b)("div",{parentName:"li",className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"Se\xa0"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow"},"<"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"t"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mo",{parentName:"mrow"},"\u2192"),Object(m.b)("mi",{parentName:"mrow"},"f"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true"},","),Object(m.b)("mn",{parentName:"mrow"},"0"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mtext",{parentName:"mrow"},"Se\xa0"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow"},"\u2265"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"t"),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mo",{parentName:"mrow"},"\u2192"),Object(m.b)("mi",{parentName:"mrow"},"f"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mi",{parentName:"mrow"},"\u03b1"),Object(m.b)("mo",{parentName:"mrow"},"\xd7"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"t"),Object(m.b)("mn",{parentName:"msup"},"2")))))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{cases} \\text{Se~} t < t_i \\rightarrow f(t) = 0,0\\\\ \\text{Se~} t \\ge t_i \\rightarrow f(t) = \\alpha \\times t^2 \\end{cases}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"3.0000299999999998em",verticalAlign:"-1.25003em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size4"},"{")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-l"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.69em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.69em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"Se"),Object(m.b)("span",{parentName:"span",className:"mord nobreak"},"\xa0")),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"<"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2192"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(m.b)("span",{parentName:"span",className:"mopen"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mclose"},")"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mpunct"},","),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.25em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"Se"),Object(m.b)("span",{parentName:"span",className:"mord nobreak"},"\xa0")),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2265"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2192"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.10764em"}},"f"),Object(m.b)("span",{parentName:"span",className:"mopen"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mclose"},")"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.0037em"}},"\u03b1"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\xd7"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.19em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))))))),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Passo de integra\xe7\xe3o (",Object(m.b)("span",{parentName:"strong",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"h")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"h")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.69444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"h"))))),")"),": Passo do m\xe9todo de integra\xe7\xe3o Trapezoidal Impl\xedcito;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Tempo de simula\xe7\xe3o (",Object(m.b)("span",{parentName:"strong",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"t"),Object(m.b)("mi",{parentName:"msub"},"f"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"t_f")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.9011879999999999em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))))),")"),": Tempo total de simula\xe7\xe3o.")),Object(m.b)("p",null,"Ap\xf3s a simula\xe7\xe3o os resultados s\xe3o exibidos no ",Object(m.b)("a",{parentName:"p",href:"graphViewer"},"visualizador de gr\xe1ficos"),"."),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"A mesma parametriza\xe7\xe3o de entrada \xe9 aplicada em todos os blocos de ",Object(m.b)("a",{parentName:"p",href:"io"},"entrada")," do sistema."))),Object(m.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"\xc9 poss\xedvel aplicar ",Object(m.b)("strong",{parentName:"p"},"v\xe1rias entradas distintas")," (inclusive com condicionais!) utilizando o bloco de ",Object(m.b)("a",{parentName:"p",href:"mathExpression"},"express\xe3o matem\xe1tica"),"."))),Object(m.b)("p",null,"Utilizando o bloco de ",Object(m.b)("a",{parentName:"p",href:"mathExpression"},"express\xe3o matem\xe1tica")," \xe9 poss\xedvel inserir entradas complexas, como por exemplo testar o diagrama de blocos (AVR DC1C + PSS1A - ",Object(m.b)("a",{parentName:"p",href:"https://doi.org/10.1109/IEEESTD.2016.7553421"},"IEEE Std. 421.5-2016"),") da figura abaixo:"),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/exControl.svg"),alt:"Sistema de controle sob teste",title:"Sistema de controle sob teste"}))),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/compControl.svg"),alt:"Compara\xe7\xe3o do sistema de controle sob teste",title:"Compara\xe7\xe3o do sistema de controle sob teste"}))))}l.isMDXComponent=!0},140:function(e,a,t){"use strict";t.d(a,"a",(function(){return l})),t.d(a,"b",(function(){return O}));var s=t(0),n=t.n(s);function m(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function p(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(e);a&&(s=s.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,s)}return t}function r(e){for(var a=1;a<arguments.length;a++){var t=null!=arguments[a]?arguments[a]:{};a%2?p(Object(t),!0).forEach((function(a){m(e,a,t[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):p(Object(t)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(t,a))}))}return e}function c(e,a){if(null==e)return{};var t,s,n=function(e,a){if(null==e)return{};var t,s,n={},m=Object.keys(e);for(s=0;s<m.length;s++)t=m[s],a.indexOf(t)>=0||(n[t]=e[t]);return n}(e,a);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(e);for(s=0;s<m.length;s++)t=m[s],a.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(n[t]=e[t])}return n}var b=n.a.createContext({}),i=function(e){var a=n.a.useContext(b),t=a;return e&&(t="function"==typeof e?e(a):r(r({},a),e)),t},l=function(e){var a=i(e.components);return n.a.createElement(b.Provider,{value:a},e.children)},o={inlineCode:"code",wrapper:function(e){var a=e.children;return n.a.createElement(n.a.Fragment,{},a)}},N=n.a.forwardRef((function(e,a){var t=e.components,s=e.mdxType,m=e.originalType,p=e.parentName,b=c(e,["components","mdxType","originalType","parentName"]),l=i(t),N=s,O=l["".concat(p,".").concat(N)]||l[N]||o[N]||m;return t?n.a.createElement(O,r(r({ref:a},b),{},{components:t})):n.a.createElement(O,r({ref:a},b))}));function O(e,a){var t=arguments,s=a&&a.mdxType;if("string"==typeof e||s){var m=t.length,p=new Array(m);p[0]=N;var r={};for(var c in a)hasOwnProperty.call(a,c)&&(r[c]=a[c]);r.originalType=e,r.mdxType="string"==typeof e?e:s,p[1]=r;for(var b=2;b<m;b++)p[b]=t[b];return n.a.createElement.apply(null,p)}return n.a.createElement.apply(null,t)}N.displayName="MDXCreateElement"},141:function(e,a,t){"use strict";t.d(a,"b",(function(){return m})),t.d(a,"a",(function(){return p}));var s=t(16),n=t(142);function m(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(s.default)();return{withBaseUrl:(t,s)=>function(e,a,t,{forcePrependBaseUrl:s=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(s)return a+t;const p=t.startsWith(a)?t:a+t.replace(/^\//,"");return m?e+p:p}(a,e,t,s)}}function p(e,a={}){const{withBaseUrl:t}=m();return t(e,a)}},142:function(e,a,t){"use strict";function s(e){return!0===/^(\w*:|\/\/)/.test(e)}function n(e){return void 0!==e&&!s(e)}t.d(a,"b",(function(){return s})),t.d(a,"a",(function(){return n}))}}]);
\ No newline at end of file
diff --git a/docs/assets/js/dcc783b1.80895426.js b/docs/assets/js/dcc783b1.80895426.js
new file mode 100644
index 0000000..31ee1b1
--- /dev/null
+++ b/docs/assets/js/dcc783b1.80895426.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[48],{122:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return c})),r.d(t,"metadata",(function(){return i})),r.d(t,"toc",(function(){return u})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),c={title:"2019w42a-beta",author:"Thales",author_title:"PhD",author_url:"https://github.com/thales1330",author_image_url:"https://avatars0.githubusercontent.com/u/16141330?s=460&v=4",tags:["psp-ufu"]},i={permalink:"/PSP/blog/2019/10/13/2019w42a-beta",editUrl:"https://github.com/Thales1330/PSP/tree/master/docs/blog/2019-10-13-2019w42a-beta.md",source:"@site/blog/2019-10-13-2019w42a-beta.md",description:"- \ud83d\udd25 Harmonic study implemented;",date:"2019-10-13T00:00:00.000Z",formattedDate:"October 12, 2019",tags:[{label:"psp-ufu",permalink:"/PSP/blog/tags/psp-ufu"}],title:"2019w42a-beta",readingTime:.11,truncated:!1,prevItem:{title:"22019w44a-beta",permalink:"/PSP/blog/2019/11/01/2019w44a-beta"}},u=[],l={toc:u};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"\ud83d\udd25 Harmonic study implemented;"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udd25 Autolayout from importation implemented;"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udd25 Importation of Matpower files;"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udc1b Several minor bugfixes.")))}p.isMDXComponent=!0},140:function(e,t,r){"use strict";r.d(t,"a",(function(){return m})),r.d(t,"b",(function(){return s}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function c(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function i(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?c(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):c(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function u(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):i(i({},t),e)),r},m=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},b={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},f=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,c=e.parentName,l=u(e,["components","mdxType","originalType","parentName"]),m=p(r),f=n,s=m["".concat(c,".").concat(f)]||m[f]||b[f]||o;return r?a.a.createElement(s,i(i({ref:t},l),{},{components:r})):a.a.createElement(s,i({ref:t},l))}));function s(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,c=new Array(o);c[0]=f;var i={};for(var u in t)hasOwnProperty.call(t,u)&&(i[u]=t[u]);i.originalType=e,i.mdxType="string"==typeof e?e:n,c[1]=i;for(var l=2;l<o;l++)c[l]=r[l];return a.a.createElement.apply(null,c)}return a.a.createElement.apply(null,r)}f.displayName="MDXCreateElement"}}]);
\ No newline at end of file
diff --git a/docs/assets/js/dd251301.bc5765ae.js b/docs/assets/js/dd251301.bc5765ae.js
new file mode 100644
index 0000000..2d39e44
--- /dev/null
+++ b/docs/assets/js/dd251301.bc5765ae.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[49],{123:function(a,e,s){"use strict";s.r(e),s.d(e,"frontMatter",(function(){return b})),s.d(e,"metadata",(function(){return c})),s.d(e,"toc",(function(){return r})),s.d(e,"default",(function(){return l}));var t=s(3),n=s(7),m=(s(0),s(140)),p=s(141),b=(s(146),s(147),{id:"fault",title:"Curto-Circuito",sidebar_label:"Curto-Circuito"}),c={unversionedId:"fault",id:"fault",isDocsHomePage:!1,title:"Curto-Circuito",description:"O principal objetivo da an\xe1lise de curto-circuito \xe9 o c\xe1lculo das correntes e tens\xf5es de falta para especifica\xe7\xe3o de disjuntores, transformadores de corrente e a parametriza\xe7\xe3o de rel\xe9s de prote\xe7\xe3o. De 70 a 80% das faltas em linhas de transmiss\xe3o s\xe3o entre uma fase e terra, as quais ocorrem devido ao centelhamento de apenas uma fase da linha para a torre e ent\xe3o para a terra.O menor n\xfamero de faltas, cerca de 5%, envolve todas as tr\xeas fases, chamadas de faltas trif\xe1sicas. Os outros tipos de faltas envolvem duas fases e duas fases e a terra.",source:"@site/docs/fault.md",slug:"/fault",permalink:"/PSP/docs/fault",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/fault.md",version:"current",sidebar_label:"Curto-Circuito",sidebar:"docs",previous:{title:"Fluxo de Pot\xeancia",permalink:"/PSP/docs/powerFlow"},next:{title:"Harm\xf4nicos",permalink:"/PSP/docs/harmonics"}},r=[{value:"C\xe1lculo de Curto-Circuito no PSP-UFU",id:"c\xe1lculo-de-curto-circuito-no-psp-ufu",children:[]},{value:"Execu\xe7\xe3o do c\xe1lculo de curto-circuito no PSP-UFU",id:"execu\xe7\xe3o-do-c\xe1lculo-de-curto-circuito-no-psp-ufu",children:[{value:"Erros comuns na execu\xe7\xe3o do c\xe1lculo de curto-circuito",id:"erros-comuns-na-execu\xe7\xe3o-do-c\xe1lculo-de-curto-circuito",children:[]}]},{value:"O c\xe1lculo de curto-circuito",id:"o-c\xe1lculo-de-curto-circuito",children:[{value:"M\xe9todo das componentes sim\xe9tricas",id:"m\xe9todo-das-componentes-sim\xe9tricas",children:[]},{value:"Equa\xe7\xf5es do curto-circuito",id:"equa\xe7\xf5es-do-curto-circuito",children:[]}]},{value:"Refer\xeancias",id:"refer\xeancias",children:[]}],N={toc:r};function l(a){var e=a.components,s=Object(n.a)(a,["components"]);return Object(m.b)("wrapper",Object(t.a)({},N,s,{components:e,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("p",null,"O principal objetivo da an\xe1lise de curto-circuito \xe9 o c\xe1lculo das correntes e tens\xf5es de falta para especifica\xe7\xe3o de disjuntores, transformadores de corrente e a parametriza\xe7\xe3o de rel\xe9s de prote\xe7\xe3o. De 70 a 80% das faltas em linhas de transmiss\xe3o s\xe3o entre uma fase e terra, as quais ocorrem devido ao centelhamento de apenas uma fase da linha para a torre e ent\xe3o para a terra.O menor n\xfamero de faltas, cerca de 5%, envolve todas as tr\xeas fases, chamadas de faltas trif\xe1sicas. Os outros tipos de faltas envolvem duas fases e duas fases e a terra."),Object(m.b)("p",null,"Todas essas falhas, exceto a trif\xe1sica, s\xe3o assim\xe9tricas e causam desequil\xedbrio entre as fases."),Object(m.b)("h2",{id:"c\xe1lculo-de-curto-circuito-no-psp-ufu"},"C\xe1lculo de Curto-Circuito no PSP-UFU"),Object(m.b)("p",null,"O primeiro est\xe1gio do c\xe1lculo de curto-circuito \xe9 a determina\xe7\xe3o das tens\xf5es pr\xe9-falta, das pot\xeancias de gera\xe7\xe3o e cargas do sistema. Esses dados s\xe3o obtidos por meio do estudo de ",Object(m.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga"),"."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Atualmente, o PSP-UFU fornece resultado para os seguintes tipos de falta:"),Object(m.b)("ul",{parentName:"div"},Object(m.b)("li",{parentName:"ul"},"Falta Trif\xe1sica (3F-T);"),Object(m.b)("li",{parentName:"ul"},"Falta Fase-Terra (F-T);"),Object(m.b)("li",{parentName:"ul"},"Falta Fase-Fase (F-F);"),Object(m.b)("li",{parentName:"ul"},"Falta Fase-Fase-Terra (F-F-T).")))),Object(m.b)("p",null,"Os modelos dos elementos el\xe9tricos que constituem um sistema de pot\xeancia para o estudo de curto-circuito s\xe3o semelhantes aos do fluxo de carga, apresentando algumas diverg\xeancias para as faltas desbalanceadas (F-T, F-F e F-F-T)."),Object(m.b)("p",null,"As faltas que ocorrem com maior frequ\xeancia em sistemas de pot\xeancia s\xe3o assim\xe9tricas. Como qualquer falta assim\xe9trica provoca fluxo de corrente desequilibrada \xe9 necess\xe1rio empregar o m\xe9todo das componentes sim\xe9tricas. Esse m\xe9todo permite o estudo de sistemas balanceados em conjunto cargas desbalanceadas."),Object(m.b)("h2",{id:"execu\xe7\xe3o-do-c\xe1lculo-de-curto-circuito-no-psp-ufu"},"Execu\xe7\xe3o do c\xe1lculo de curto-circuito no PSP-UFU"),Object(m.b)("p",null,"Existem duas formas de se calcular o curto-circuito no PSP-UFU:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Falta"),": Calcula a falta inserida nas ",Object(m.b)("a",{parentName:"li",href:"bus"},"barras"),". Nesse tipo de c\xe1lculo \xe9 poss\xedvel calcular faltas ",Object(m.b)("em",{parentName:"li"},"shunt")," nos ",Object(m.b)("a",{parentName:"li",href:"bus"},"barramentos")," balanceadas e desbalanceadas."),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"N\xedvel de curto-circuito"),": Calcula o n\xedvel de curto-circuito (falta trif\xe1sica) em todos ",Object(m.b)("a",{parentName:"li",href:"bus"},"barramentos")," do sistema.")),Object(m.b)("p",null,"Ap\xf3s a constru\xe7\xe3o do diagrama unifilar no ",Object(m.b)("a",{parentName:"p",href:"powerEditor"},"editor de pot\xeancia"),", a execu\xe7\xe3o do c\xe1lculo de curto-circuito \xe9 realizada no ",Object(m.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"menu Simula\xe7\xe3o")," clicando no bot\xe3o ",Object(m.b)("strong",{parentName:"p"},"Falta"),". Para calcular o n\xedvel de curto-circuito (falta trif\xe1sica) em todos ",Object(m.b)("a",{parentName:"p",href:"bus"},"barramentos")," do sistema, basta clicar no bot\xe3o ",Object(m.b)("strong",{parentName:"p"},"N\xedvel de curto-circuito"),"."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/menuSimulationFaulta.svg"),alt:"Execu\xe7\xe3o dos c\xe1lculos de curto-circuito",title:"Execu\xe7\xe3o dos c\xe1lculos de curto-circuito"}))),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"\xc9 poss\xedvel calcular as faltas sem a execu\xe7\xe3o do ",Object(m.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga"),", por\xe9m ",Object(m.b)("strong",{parentName:"p"},"n\xe3o \xe9 recomend\xe1vel"),", visto que os valores das correntes de falta s\xe3o significativamente alteradas."))),Object(m.b)("p",null,Object(m.b)("strong",{parentName:"p"},"Outra possibilidade")," \xe9 a execu\xe7\xe3o por meio do c\xe1lculo cont\xednuo, tamb\xe9m presente no ",Object(m.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"menu Simula\xe7\xe3o")," e seu acionamento \xe9 realizado co clicar no bot\xe3o ",Object(m.b)("strong",{parentName:"p"},"Habilitar solu\xe7\xe3o"),". Com essa op\xe7\xe3o, os c\xe1lculos est\xe1ticos selecionados nas ",Object(m.b)("a",{parentName:"p",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o")," s\xe3o automaticamente realizados ao modificar quaisquer par\xe2metros da rede, como dados el\xe9tricos e acionamento dos disjuntores dos elementos (remo\xe7\xe3o ou inser\xe7\xe3o)."),Object(m.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Os c\xe1lculos de curtos-circuitos n\xe3o s\xe3o habilitados por padr\xe3o no c\xe1lculo cont\xednuo e devem ser inseridos nas ",Object(m.b)("a",{parentName:"p",href:"simulationConfig"},"configura\xe7\xf5es de simula\xe7\xe3o"),"."))),Object(m.b)("p",null,"Os resultados do c\xe1lculo de curto-circuito s\xe3o exibidos nos ",Object(m.b)("a",{parentName:"p",href:"text"},"elementos de texto vinculado"),", ao posicionar o mouse sobre os barramentos e em ",Object(m.b)("a",{parentName:"p",href:"tabularReport"},"relat\xf3rios tabulares"),"."),Object(m.b)("h3",{id:"erros-comuns-na-execu\xe7\xe3o-do-c\xe1lculo-de-curto-circuito"},"Erros comuns na execu\xe7\xe3o do c\xe1lculo de curto-circuito"),Object(m.b)("p",null,"A seguir s\xe3o apresentados os erros mais comuns relacionados ao calculo de curto-circuito."),Object(m.b)("h4",{id:"a-seguinte-mensagem-de-erro-\xe9-exibida-falha-ao-inverter-a-matriz-admit\xe2ncia-de-sequ\xeancia-zero"},'A seguinte mensagem de erro \xe9 exibida: "Falha ao inverter a matriz admit\xe2ncia de sequ\xeancia zero"'),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Impossibilidade de circula\xe7\xe3o da corrente de sequ\xeancia zero"),". Caso o gerador n\xe3o seja aterrado, n\xe3o circular\xe1 corrente de sequ\xeancia zero por ele. Nesse caso, dependendo da conex\xe3o do transformador pr\xf3ximo ao gerador sem aterramento, a matriz admit\xe2ncia de sequ\xeancia zero \xe9 singular. Para contornar esse problema escolha uma das duas solu\xe7\xf5es abaixo:",Object(m.b)("ul",{parentName:"li"},Object(m.b)("li",{parentName:"ul"},'Marque a op\xe7\xe3o "Neutro aterrado" e insira um alto valor de reat\xe2ncia de aterramento (',Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"j"),Object(m.b)("mn",{parentName:"mrow"},"9999"),Object(m.b)("mtext",{parentName:"mrow"},"\xa0"),Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"j9999~p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.85396em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05724em"}},"j"),Object(m.b)("span",{parentName:"span",className:"mord"},"9"),Object(m.b)("span",{parentName:"span",className:"mord"},"9"),Object(m.b)("span",{parentName:"span",className:"mord"},"9"),Object(m.b)("span",{parentName:"span",className:"mord"},"9"),Object(m.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},"."))))),", por exemplo);"),Object(m.b)("li",{parentName:"ul"},"Ou, na barra do gerador, insira um reator de baixo valor de pot\xeancia reativa (",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mtext",{parentName:"mrow"},"\xa0"),Object(m.b)("mi",{parentName:"mrow"},"v"),Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"r")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1{,}0~var")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"v"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"))))),", por exemplo).")))),Object(m.b)("h2",{id:"o-c\xe1lculo-de-curto-circuito"},"O c\xe1lculo de curto-circuito"),Object(m.b)("p",null,"Como j\xe1 foi apresentado anteriormente, as faltas que ocorrem com maior frequ\xeancia em sistemas de pot\xeancia s\xe3o assim\xe9tricas. Como qualquer falta assim\xe9trica provoca fluxo de corrente desequilibrada \xe9 necess\xe1rio empregar o m\xe9todo das componentes sim\xe9tricas. Esse m\xe9todo permite o estudo de sistemas balanceados com cargas desbalanceadas."),Object(m.b)("h3",{id:"m\xe9todo-das-componentes-sim\xe9tricas"},"M\xe9todo das componentes sim\xe9tricas"),Object(m.b)("p",null,"Esse m\xe9todo proposto por C. L. Fortescue, permite definir um sistema de n fasores desbalanceados em n \u2013 1 sistemas de n fases balanceados e um sistema de fase zero. O sistema de fase zero \xe9 definido por todas as fases de mesmo m\xf3dulo e \xe2ngulo.\nPara um sistema trif\xe1sico pode-se definir tr\xeas componentes de sequ\xeancia:"),Object(m.b)("ol",null,Object(m.b)("li",{parentName:"ol"},"Componentes de sequ\xeancia positiva, constituindo em tr\xeas fasores iguais em m\xf3dulo, 120\xba defasados entre si, e tendo a mesma sequ\xeancia de fase que os fasores originais;"),Object(m.b)("li",{parentName:"ol"},"Componentes de sequ\xeancia negativa, constituindo em tr\xeas fasores iguais em m\xf3dulo, 120\xba defasados entre si, e tendo a sequ\xeancia de fase oposta \xe0 dos fasores originais."),Object(m.b)("li",{parentName:"ol"},"Componentes de sequ\xeancia zero, constituindo em tr\xeas fasores iguais em m\xf3dulo e com defasagem nula entre si.")),Object(m.b)("p",null,"Com isso pode-se decompor as tens\xf5es de fase em componentes sim\xe9tricas pelas seguintes equa\xe7\xf5es:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"a")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"2"))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"0"))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"b")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"b"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"b"),Object(m.b)("mn",{parentName:"mrow"},"2"))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"b"),Object(m.b)("mn",{parentName:"mrow"},"0"))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"c")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"c"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"c"),Object(m.b)("mn",{parentName:"mrow"},"2"))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"c"),Object(m.b)("mn",{parentName:"mrow"},"0"))))))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{cases} \\dot{V}_a = \\dot{V}_{a1} + \\dot{V}_{a2} + \\dot{V}_{a0}\\\\ \\dot{V}_b = \\dot{V}_{b1} + \\dot{V}_{b2} + \\dot{V}_{b0}\\\\ \\dot{V}_c = \\dot{V}_{c1} + \\dot{V}_{c2} + \\dot{V}_{c0} \\end{cases}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"4.32em",verticalAlign:"-1.9099999999999997em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.35002em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.19999em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a9"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.19499em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.20499em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.15001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a8"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.2950099999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.30501em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.60002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a7")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.8500199999999998em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-l"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.41em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.41em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.97em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-1.5300000000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.9099999999999997em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("p",null,"A figura abaixo apresenta um exemplo de componentes sim\xe9tricas e sua soma para obter os fasores desequilibrados."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/fortescue.svg"),alt:"Exemplo de componentes sim\xe9tricas e sua soma para obter os fasores desequilibrados",title:"Exemplo de componentes sim\xe9tricas e sua soma para obter os fasores desequilibrados"}))),Object(m.b)("p",null,"Para simplificar os c\xe1lculos adota-se um operador \u201c",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"a"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{a}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.63056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))))))),"\u201d, com o intuito de indicar a rota\xe7\xe3o de um fasor. Tal operador \xe9 um n\xfamero complexo de m\xf3dulo unit\xe1rio e \xe2ngulo de 120\xba:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"a"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2220"),Object(m.b)("mn",{parentName:"mrow"},"12"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mn",{parentName:"msup"},"0"),Object(m.b)("mo",{parentName:"msup",lspace:"0em",rspace:"0em"},"\u2218")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"e"),Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mi",{parentName:"mrow"},"j"),Object(m.b)("mn",{parentName:"mrow"},"2"),Object(m.b)("mi",{parentName:"mrow"},"\u03c0"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"/"),Object(m.b)("mn",{parentName:"mrow"},"3"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"5"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mi",{parentName:"mrow"},"j"),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"866")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{a} = 1 \\angle 120^{\\circ} = 1 e^{j2\\pi/3} = -0{,}5 + j0{,}866")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.63056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.724115em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2220"),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},"2"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.724115em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2218"))))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.938em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"e"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.938em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05724em"}},"j"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"\u03c0"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"/"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"3"))))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"5"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.85396em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05724em"}},"j"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"8"),Object(m.b)("span",{parentName:"span",className:"mord"},"6"),Object(m.b)("span",{parentName:"span",className:"mord"},"6")))))),Object(m.b)("p",null,"Com isso pode-se utilizar as equa\xe7\xf5es (de tens\xe3o apresentadas  em conjunto com o operador \u201c",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"a"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{a}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.63056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))))))),"\u201d para construir a seguinte equa\xe7\xe3o matricial:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"a"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"b"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"c")))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mover",{parentName:"mrow"},Object(m.b)("mover",{parentName:"mover"},Object(m.b)("mrow",{parentName:"mover"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"1"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"1"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"1")))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"1"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msup",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"a"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mn",{parentName:"msup"},"2")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mover",{parentName:"mstyle",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"a"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mn",{parentName:"mstyle"},"1"))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mover",{parentName:"mstyle",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"a"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msup",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"a"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mn",{parentName:"msup"},"2")))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u23de")),Object(m.b)("mrow",{parentName:"mover"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"A"),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]"))),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"0")))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"1")))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"2"))))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{bmatrix} \\dot{V}_a\\\\ \\dot{V}_b\\\\ \\dot{V}_c \\end{bmatrix} = \\overbrace{ \\begin{bmatrix} 1 & 1 & 1\\\\ 1 & \\overline{a}^2 & \\overline{a}\\\\ 1 & \\overline{a} & \\overline{a}^2 \\end{bmatrix} }^{\\left[ \\bold{A} \\right]} \\begin{bmatrix} \\dot{V}_{a0}\\\\ \\dot{V}_{a1}\\\\ \\dot{V}_{a2} \\end{bmatrix}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"3.8405700000000005em",verticalAlign:"-1.6702850000000007em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.0510099999999998em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.2500000000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a3"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.8099900000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.05101em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.170285em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.250095em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.9699049999999994em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-1.6897149999999994em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"c")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6702850000000007em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.0510099999999998em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.2500000000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a6"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.8099900000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.05101em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a4")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"5.2692950000000005em",verticalAlign:"-1.6702850000000007em"}}),Object(m.b)("span",{parentName:"span",className:"mord mover"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"3.59901em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.6990099999999995em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"4.6990099999999995em"}}),Object(m.b)("span",{parentName:"span",className:"mord mover"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.69901em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.05101em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"4.05101em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.0510099999999998em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.2500000000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a3"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.8099900000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.05101em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.05em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.21em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0099999999999993em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1"))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8099999999999994em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.5500000000000007em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.05em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.21em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0099999999999993em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8099999999999994em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.5500000000000007em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.05em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.21em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"1"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0099999999999993em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-1.8099999999999994em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"a"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.5500000000000007em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.0510099999999998em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.2500000000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a6"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.8099900000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.05101em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a4")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"svg-align",style:{top:"-6.202019999999999em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"4.05101em"}}),Object(m.b)("span",{parentName:"span",className:"stretchy",style:{height:"0.548em",minWidth:"1.6em"}},Object(m.b)("span",{parentName:"span",className:"brace-left",style:{height:"0.548em"}},Object(m.b)("svg",{parentName:"span",width:"400em",height:"0.548em",viewBox:"0 0 400000 548",preserveAspectRatio:"xMinYMin slice"},Object(m.b)("path",{parentName:"svg",d:"M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z"}))),Object(m.b)("span",{parentName:"span",className:"brace-center",style:{height:"0.548em"}},Object(m.b)("svg",{parentName:"span",width:"400em",height:"0.548em",viewBox:"0 0 400000 548",preserveAspectRatio:"xMidYMin slice"},Object(m.b)("path",{parentName:"svg",d:"M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z"}))),Object(m.b)("span",{parentName:"span",className:"brace-right",style:{height:"0.548em"}},Object(m.b)("svg",{parentName:"span",width:"400em",height:"0.548em",viewBox:"0 0 400000 548",preserveAspectRatio:"xMaxYMin slice"},Object(m.b)("path",{parentName:"svg",d:"M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z"})))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",style:{top:"-7.773019999999999em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"4.6990099999999995em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"minner mtight"},Object(m.b)("span",{parentName:"span",className:"mopen mtight delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"mtight"},"[")),Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathbf mtight"},"A")),Object(m.b)("span",{parentName:"span",className:"mclose mtight delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"mtight"},"]"))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.0510099999999998em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.2500000000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a3"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.8099900000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.05101em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.170285em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.250095em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.9699049999999994em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-1.6897149999999994em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6702850000000007em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.0510099999999998em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.2500000000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a6"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.8099900000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.05101em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a4")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.55002em"}},Object(m.b)("span",{parentName:"span"})))))))))))),Object(m.b)("p",null,"Considerando a matriz quadrada da equa\xe7\xe3o anterior sendo ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"A"),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\left[ \\bold{A} \\right]")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"["),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"A")),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},"]")))))),", pode-se encontrar as componentes sim\xe9tricas pr\xe9-multiplicando ambos os lados dessa mesma equa\xe7\xe3o por ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mi",{parentName:"mrow",mathvariant:"bold"},"A"),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mn",{parentName:"mrow"},"1")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\left[ \\bold{A} \\right]^{-1}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.204008em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"["),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"A")),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},"]")),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.954008em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.2029em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))))))))))),"."),Object(m.b)("p",null,"Da mesma forma que no estudo de fluxo de carga, a representa\xe7\xe3o dos elementos do sistema para o estudo de curto-circuito \xe9 realizada por meio de circuitos equivalentes inseridos na matriz admit\xe2ncia de barras. Nas faltas assim\xe9tricas (F-T, F-F e F-F-T) \xe9 necess\xe1rio formar tr\xeas matrizes admit\xe2ncia de sequ\xeancia: positiva, negativa e zero."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"As informa\xe7\xf5es a respeito das particularidades dos modelos para o estudo de curto-circuito s\xe3o apresentados individualmente nos ",Object(m.b)("a",{parentName:"p",href:"powerEditor#editando-dados-el%C3%A9tricos"},"elementos de pot\xeancia"),"."))),Object(m.b)("h3",{id:"equa\xe7\xf5es-do-curto-circuito"},"Equa\xe7\xf5es do curto-circuito"),Object(m.b)("p",null,"Primeiramente ser\xe1 tratado o equacionamento para faltas balanceadas e ent\xe3o os estudos ser\xe3o estendidos para as faltas desbalanceadas por meio da utiliza\xe7\xe3o do m\xe9todo das componentes sim\xe9tricas."),Object(m.b)("h4",{id:"faltas-balanceadas"},"Faltas balanceadas"),Object(m.b)("p",null,"Utiliza-se da matriz imped\xe2ncia de barras para o c\xe1lculo de curto-circuito, definida pela seguinte equa\xe7\xe3o matricial:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"]"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Z"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"b"),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow"},"s"))),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"]"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"]")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"[\\dot{V}] = [Z_{bus}][\\dot{I}]")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.17019em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mopen"},"["),Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},"]"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.17019em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mopen"},"["),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"Z"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"u"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose"},"]"),Object(m.b)("span",{parentName:"span",className:"mopen"},"["),Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},"]")))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"["),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Z"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"b"),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow"},"s"))),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"]")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"[Z_{bus}]")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mopen"},"["),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07153em"}},"Z"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.07153em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"b"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"u"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"s"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose"},"]")))))," \xe9 a inversa da matriz admit\xe2ncia de barras, chamada de matriz imped\xe2ncia de barras.")),Object(m.b)("p",null,"Por meio da expans\xe3o da equa\xe7\xe3o anterior \xe9 poss\xedvel calcular a corrente de falta trif\xe1sica na barra gen\xe9rica ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"i"))))),":"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"f")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"E"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i"))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"f"))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{I}_f = \\frac{\\dot{E}_i}{\\overline{z}_{ii}+\\overline{z}_{f}}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.206298em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.569298em",verticalAlign:"-0.972108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.5971899999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.055550000000000016em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.972108em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"f"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{I}_f")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.206298em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"}))))))))))," \xe9 a corrente de falta trif\xe1sica na barra ",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"i")))))),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"E"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"i"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{E}_i")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.07019em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.055550000000000016em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," \xe9 a tens\xe3o pr\xe9-falta na barra ",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"i")))))),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{z}_{ii}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.78056em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," \xe9 a imped\xe2ncia equivalente de Thevenin vista pela barra ",Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"i"))))),", retirada da matriz imped\xe2ncia"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"f"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{z}_{f}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.916668em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"}))))))))))," \xe9 a imped\xe2ncia de falta")),Object(m.b)("h4",{id:"faltas-desbalanceadas"},"Faltas desbalanceadas"),Object(m.b)("p",null,"O desenvolvimento das equa\xe7\xf5es do c\xe1lculo de curto-circuito para faltas desbalanceadas \xe9 realizado seguindo o seguinte procedimento:"),Object(m.b)("ol",null,Object(m.b)("li",{parentName:"ol"},"Definir os diagramas no ponto da falta, mostrando as conex\xf5es de todas fases para a falta. Assume-se que apenas imped\xe2ncias balanceadas est\xe3o presentes em ambos os lados do ponto da falta e o equivalente Thevenin at\xe9 esse ponto \xe9 conhecido;"),Object(m.b)("li",{parentName:"ol"},"Escrever as condi\xe7\xf5es de contorno relacionando as tens\xf5es e corrente conhecidas para o tipo de falta estudada;"),Object(m.b)("li",{parentName:"ol"},"Transformar as correntes e tens\xf5es do item 2 de a-b-c para o sistema de coordenadas 0-1-2;"),Object(m.b)("li",{parentName:"ol"},"Encontrar a corrente do curto-circuito em estudo baseado no seguinte sistema de equa\xe7\xf5es (para a fase A):",Object(m.b)("div",{parentName:"li",className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"{"),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"E"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"a")),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"1"))),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mn",{parentName:"msub"},"1")))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"2"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"2"))),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mn",{parentName:"msub"},"2")))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mn",{parentName:"mrow"},"0"))),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mn",{parentName:"msub"},"0")))))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{cases} \\dot{V}_{a1} = \\dot{E}_a - \\dot{I}_{a1} \\overline{z}_1\\\\ \\dot{V}_{a2} = - \\dot{I}_{a2} \\overline{z}_2\\\\ \\dot{V}_{a0} = - \\dot{I}_{a0} \\overline{z}_0 \\end{cases}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"4.32em",verticalAlign:"-1.9099999999999997em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.35002em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.19999em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a9"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.19499em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.20499em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.15001em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a8"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.2950099999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.30501em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23aa"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.60002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.15em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a7")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.8500199999999998em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-l"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.41em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.41em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.055550000000000016em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.97em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-1.5300000000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.30110799999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.9099999999999997em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))))),Object(m.b)("p",null,"A tabela abaixo apresenta as equa\xe7\xf5es para as faltas desbalanceadas ap\xf3s a execu\xe7\xe3o do procedimento apresenteado:"),Object(m.b)("table",null,Object(m.b)("thead",{parentName:"table"},Object(m.b)("tr",{parentName:"thead"},Object(m.b)("th",{parentName:"tr",align:null},Object(m.b)("strong",{parentName:"th"},"Falta")),Object(m.b)("th",{parentName:"tr",align:"center"},Object(m.b)("strong",{parentName:"th"},"Seq. Positiva (",Object(m.b)("span",{parentName:"strong",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msubsup"},"f"),Object(m.b)("mn",{parentName:"msubsup"},"1"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{I}_{f}^{1}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.3394059999999999em",verticalAlign:"-0.4192159999999999em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.4192159999999999em"}},Object(m.b)("span",{parentName:"span"})))))))))),")")),Object(m.b)("th",{parentName:"tr",align:"center"},Object(m.b)("strong",{parentName:"th"},"Seq. Negativa (",Object(m.b)("span",{parentName:"strong",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msubsup"},"f"),Object(m.b)("mn",{parentName:"msubsup"},"2"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{I}_{f}^{2}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.3394059999999999em",verticalAlign:"-0.4192159999999999em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.4192159999999999em"}},Object(m.b)("span",{parentName:"span"})))))))))),")")),Object(m.b)("th",{parentName:"tr",align:"center"},Object(m.b)("strong",{parentName:"th"},"Seq. Zero (",Object(m.b)("span",{parentName:"strong",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msubsup"},"f"),Object(m.b)("mn",{parentName:"msubsup"},"0"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{I}_{f}^{0}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.3394059999999999em",verticalAlign:"-0.4192159999999999em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.4192159999999999em"}},Object(m.b)("span",{parentName:"span"})))))))))),")")))),Object(m.b)("tbody",{parentName:"table"},Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("strong",{parentName:"td"},"F-T")),Object(m.b)("td",{parentName:"tr",align:"center"},Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mstyle",{parentName:"mrow",displaystyle:"true",scriptlevel:"0"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"E"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"1")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"2")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"0")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"3"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"f")))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dfrac{\\dot{E}_i}{\\overline{z}_{ii}^{1} + \\overline{z}_{ii}^{2} + \\overline{z}_{ii}^{0} + 3 \\overline{z}_{f}}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.6078659999999996em",verticalAlign:"-1.010676em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.5971899999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.275432em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"3"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.055550000000000016em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.010676em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("td",{parentName:"tr",align:"center"},Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msubsup"},"f"),Object(m.b)("mn",{parentName:"msubsup"},"1"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{I}_{f}^{1}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.3394059999999999em",verticalAlign:"-0.4192159999999999em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.4192159999999999em"}},Object(m.b)("span",{parentName:"span"}))))))))))),Object(m.b)("td",{parentName:"tr",align:"center"},Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msubsup"},"f"),Object(m.b)("mn",{parentName:"msubsup"},"1"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{I}_{f}^{1}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.3394059999999999em",verticalAlign:"-0.4192159999999999em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.4192159999999999em"}},Object(m.b)("span",{parentName:"span"})))))))))))),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("strong",{parentName:"td"},"F-F")),Object(m.b)("td",{parentName:"tr",align:"center"},Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mstyle",{parentName:"mrow",displaystyle:"true",scriptlevel:"0"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"E"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"1")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"2")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"f")))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dfrac{\\dot{E}_i}{\\overline{z}_{ii}^{1} + \\overline{z}_{ii}^{2} + \\overline{z}_{f}}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.6078659999999996em",verticalAlign:"-1.010676em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.5971899999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.275432em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.055550000000000016em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.010676em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("td",{parentName:"tr",align:"center"},Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msubsup"},"f"),Object(m.b)("mn",{parentName:"msubsup"},"1"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"- \\dot{I}_{f}^{1}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.3394059999999999em",verticalAlign:"-0.4192159999999999em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.4192159999999999em"}},Object(m.b)("span",{parentName:"span"}))))))))))),Object(m.b)("td",{parentName:"tr",align:"center"},Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0{,}0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))))))),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("strong",{parentName:"td"},"F-F-T")),Object(m.b)("td",{parentName:"tr",align:"center"},Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mstyle",{parentName:"mrow",displaystyle:"true",scriptlevel:"0"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"E"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"2")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"0")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"3"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"f")),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")"))),Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"1")),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"2")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"3"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"2")),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"f")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"2")),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"0")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"3"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"1")),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"f")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"1")),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"0")))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dfrac{\\dot{E}_i \\left( \\overline{z}_{ii}^{2} + \\overline{z}_{ii}^{0} + 3 \\overline{z}_{f} \\right)}{\\overline{z}_{ii}^{1} \\overline{z}_{ii}^{2} + 3 \\overline{z}_{ii}^{2} \\overline{z}_{f} + \\overline{z}_{ii}^{2} \\overline{z}_{ii}^{0} + 3 \\overline{z}_{ii}^{1} \\overline{z}_{f} + \\overline{z}_{ii}^{1} \\overline{z}_{ii}^{0} }")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.670876em",verticalAlign:"-1.010676em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6602000000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.275432em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"3"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"3"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.7400100000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.055550000000000016em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size1"},"(")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"3"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size1"},")")))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.010676em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("td",{parentName:"tr",align:"center"},Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mstyle",{parentName:"mrow",displaystyle:"true",scriptlevel:"0"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"E"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"1")),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msubsup"},"f"),Object(m.b)("mn",{parentName:"msubsup"},"1"))),Object(m.b)("msubsup",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"2"))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"- \\dfrac{\\dot{E}_i - \\overline{z}_{ii}^{1} \\dot{I}_{f}^{1}}{\\overline{z}_{ii}^{2}}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.700974em",verticalAlign:"-0.971568em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.729406em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.275432em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.809216em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.055550000000000016em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.4192159999999999em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.971568em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("td",{parentName:"tr",align:"center"},Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mstyle",{parentName:"mrow",displaystyle:"true",scriptlevel:"0"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"E"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"i")),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"1")),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msubsup"},"f"),Object(m.b)("mn",{parentName:"msubsup"},"1"))),Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("mn",{parentName:"msubsup"},"0")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"3"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"f")))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"- \\dfrac{\\dot{E}_i - \\overline{z}_{ii}^{1} \\dot{I}_{f}^{1}}{\\overline{z}_{ii}^{0} + 3 \\overline{z}_{f}}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.740082em",verticalAlign:"-1.010676em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.729406em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.275432em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"0"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"3"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.809216em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05764em"}},"E"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.055550000000000016em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.834568em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4530000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.08346em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.247em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8141079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4168920000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.4192159999999999em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.010676em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))))))),Object(m.b)("p",null,"Para obter os valores em a-b-c \xe9 usada a equa\xe7\xe3o matricial apresentada anteriormente, encerrando o c\xe1lculo de curto-circuito."),Object(m.b)("h2",{id:"refer\xeancias"},"Refer\xeancias"),Object(m.b)("ol",null,Object(m.b)("li",{parentName:"ol"},"ARRILLAGA, J.; WATSON, N. R. Computer Modelling of Electrical Power Systems. Wiley & Sons, New York, 2001. doi: ",Object(m.b)("a",{parentName:"li",href:"https://doi.org/10.1002/9781118878286"},"https://doi.org/10.1002/9781118878286")),Object(m.b)("li",{parentName:"ol"},"STEVENSON JR.; WILLIAN, D. Elementos de An\xe1lise de Sistemas de Pot\xeancia. 2\xaa ed. S\xe3o Paulo: McGraw-Hill, 1986."),Object(m.b)("li",{parentName:"ol"},"ANDERSON, P. M.; FOUAD, A. A. Power System Control and Stability. Wiley-IEEE Press, New York, 2002. doi: ",Object(m.b)("a",{parentName:"li",href:"https://doi.org/10.1109/9780470545577"},"https://doi.org/10.1109/9780470545577")),Object(m.b)("li",{parentName:"ol"},"FORTESCUE, C. L. Method of Symmetrical Coordinates Applied to the Solution of Polyphase Networks. Trans. AIEE, v. 37, p.1027-1140, 1918. doi: ",Object(m.b)("a",{parentName:"li",href:"https://doi.org/10.1109/T-AIEE.1918.4765570"},"https://doi.org/10.1109/T-AIEE.1918.4765570")),Object(m.b)("li",{parentName:"ol"},"ANDERSON, P. M. Analysis of faulted power systems. New York: IEEE Press, 1995.")))}l.isMDXComponent=!0},140:function(a,e,s){"use strict";s.d(e,"a",(function(){return l})),s.d(e,"b",(function(){return j}));var t=s(0),n=s.n(t);function m(a,e,s){return e in a?Object.defineProperty(a,e,{value:s,enumerable:!0,configurable:!0,writable:!0}):a[e]=s,a}function p(a,e){var s=Object.keys(a);if(Object.getOwnPropertySymbols){var t=Object.getOwnPropertySymbols(a);e&&(t=t.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),s.push.apply(s,t)}return s}function b(a){for(var e=1;e<arguments.length;e++){var s=null!=arguments[e]?arguments[e]:{};e%2?p(Object(s),!0).forEach((function(e){m(a,e,s[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(s)):p(Object(s)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(s,e))}))}return a}function c(a,e){if(null==a)return{};var s,t,n=function(a,e){if(null==a)return{};var s,t,n={},m=Object.keys(a);for(t=0;t<m.length;t++)s=m[t],e.indexOf(s)>=0||(n[s]=a[s]);return n}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(t=0;t<m.length;t++)s=m[t],e.indexOf(s)>=0||Object.prototype.propertyIsEnumerable.call(a,s)&&(n[s]=a[s])}return n}var r=n.a.createContext({}),N=function(a){var e=n.a.useContext(r),s=e;return a&&(s="function"==typeof a?a(e):b(b({},e),a)),s},l=function(a){var e=N(a.components);return n.a.createElement(r.Provider,{value:e},a.children)},i={inlineCode:"code",wrapper:function(a){var e=a.children;return n.a.createElement(n.a.Fragment,{},e)}},O=n.a.forwardRef((function(a,e){var s=a.components,t=a.mdxType,m=a.originalType,p=a.parentName,r=c(a,["components","mdxType","originalType","parentName"]),l=N(s),O=t,j=l["".concat(p,".").concat(O)]||l[O]||i[O]||m;return s?n.a.createElement(j,b(b({ref:e},r),{},{components:s})):n.a.createElement(j,b({ref:e},r))}));function j(a,e){var s=arguments,t=e&&e.mdxType;if("string"==typeof a||t){var m=s.length,p=new Array(m);p[0]=O;var b={};for(var c in e)hasOwnProperty.call(e,c)&&(b[c]=e[c]);b.originalType=a,b.mdxType="string"==typeof a?a:t,p[1]=b;for(var r=2;r<m;r++)p[r]=s[r];return n.a.createElement.apply(null,p)}return n.a.createElement.apply(null,s)}O.displayName="MDXCreateElement"},141:function(a,e,s){"use strict";s.d(e,"b",(function(){return m})),s.d(e,"a",(function(){return p}));var t=s(16),n=s(142);function m(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(t.default)();return{withBaseUrl:(s,t)=>function(a,e,s,{forcePrependBaseUrl:t=!1,absolute:m=!1}={}){if(!s)return s;if(s.startsWith("#"))return s;if(Object(n.b)(s))return s;if(t)return e+s;const p=s.startsWith(e)?s:e+s.replace(/^\//,"");return m?a+p:p}(e,a,s,t)}}function p(a,e={}){const{withBaseUrl:s}=m();return s(a,e)}},142:function(a,e,s){"use strict";function t(a){return!0===/^(\w*:|\/\/)/.test(a)}function n(a){return void 0!==a&&!t(a)}s.d(e,"b",(function(){return t})),s.d(e,"a",(function(){return n}))},143:function(a,e,s){"use strict";function t(a){var e,s,n="";if("string"==typeof a||"number"==typeof a)n+=a;else if("object"==typeof a)if(Array.isArray(a))for(e=0;e<a.length;e++)a[e]&&(s=t(a[e]))&&(n&&(n+=" "),n+=s);else for(e in a)a[e]&&(n&&(n+=" "),n+=e);return n}e.a=function(){for(var a,e,s=0,n="";s<arguments.length;)(a=arguments[s++])&&(e=t(a))&&(n&&(n+=" "),n+=e);return n}},144:function(a,e,s){"use strict";var t=s(0),n=s(145);e.a=function(){const a=Object(t.useContext)(n.a);if(null==a)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return a}},145:function(a,e,s){"use strict";var t=s(0);const n=Object(t.createContext)(void 0);e.a=n},146:function(a,e,s){"use strict";var t=s(0),n=s.n(t),m=s(144),p=s(143),b=s(56),c=s.n(b);const r=37,N=39;e.a=function(a){const{lazy:e,block:s,defaultValue:b,values:l,groupId:i,className:O}=a,{tabGroupChoices:j,setTabGroupChoices:o}=Object(m.a)(),[h,d]=Object(t.useState)(b),g=t.Children.toArray(a.children),u=[];if(null!=i){const a=j[i];null!=a&&a!==h&&l.some((e=>e.value===a))&&d(a)}const v=a=>{const e=a.target,s=u.indexOf(e),t=g[s].props.value;d(t),null!=i&&(o(i,t),setTimeout((()=>{(function(a){const{top:e,left:s,bottom:t,right:n}=a.getBoundingClientRect(),{innerHeight:m,innerWidth:p}=window;return e>=0&&n<=p&&t<=m&&s>=0})(e)||(e.scrollIntoView({block:"center",behavior:"smooth"}),e.classList.add(c.a.tabItemActive),setTimeout((()=>e.classList.remove(c.a.tabItemActive)),2e3))}),150))},y=a=>{var e;let s;switch(a.keyCode){case N:const e=u.indexOf(a.target)+1;s=u[e]||u[0];break;case r:const t=u.indexOf(a.target)-1;s=u[t]||u[u.length-1]}null===(e=s)||void 0===e||e.focus()};return n.a.createElement("div",{className:"tabs-container"},n.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(p.a)("tabs",{"tabs--block":s},O)},l.map((({value:a,label:e})=>n.a.createElement("li",{role:"tab",tabIndex:h===a?0:-1,"aria-selected":h===a,className:Object(p.a)("tabs__item",c.a.tabItem,{"tabs__item--active":h===a}),key:a,ref:a=>u.push(a),onKeyDown:y,onFocus:v,onClick:v},e)))),e?Object(t.cloneElement)(g.filter((a=>a.props.value===h))[0],{className:"margin-vert--md"}):n.a.createElement("div",{className:"margin-vert--md"},g.map(((a,e)=>Object(t.cloneElement)(a,{key:e,hidden:a.props.value!==h})))))}},147:function(a,e,s){"use strict";var t=s(0),n=s.n(t);e.a=function({children:a,hidden:e,className:s}){return n.a.createElement("div",{role:"tabpanel",hidden:e,className:s},a)}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/e0028f30.c783e066.js b/docs/assets/js/e0028f30.c783e066.js
new file mode 100644
index 0000000..cf0ddef
--- /dev/null
+++ b/docs/assets/js/e0028f30.c783e066.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[50],{124:function(o){o.exports=JSON.parse('{"permalink":"/PSP/blog","page":1,"postsPerPage":10,"totalPages":1,"totalCount":5,"previousPage":null,"nextPage":null,"blogDescription":"Blog","blogTitle":"Blog"}')}}]);
\ No newline at end of file
diff --git a/docs/assets/js/e1ddd01a.4db04e61.js b/docs/assets/js/e1ddd01a.4db04e61.js
new file mode 100644
index 0000000..ebd8543
--- /dev/null
+++ b/docs/assets/js/e1ddd01a.4db04e61.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[51],{125:function(p){p.exports=JSON.parse('{"allTagsPath":"/PSP/blog/tags","slug":"psp-ufu","name":"psp-ufu","count":5,"permalink":"/PSP/blog/tags/psp-ufu"}')}}]);
\ No newline at end of file
diff --git a/docs/assets/js/e240fc47.9381c330.js b/docs/assets/js/e240fc47.9381c330.js
new file mode 100644
index 0000000..2899bbb
--- /dev/null
+++ b/docs/assets/js/e240fc47.9381c330.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[52],{126:function(e,r,t){"use strict";t.r(r),t.d(r,"frontMatter",(function(){return s})),t.d(r,"metadata",(function(){return c})),t.d(r,"toc",(function(){return d})),t.d(r,"default",(function(){return l}));var o=t(3),n=t(7),a=(t(0),t(140)),i=t(141),s={id:"sum",title:"Somador",sidebar_label:"Somador"},c={unversionedId:"sum",id:"sum",isDocsHomePage:!1,title:"Somador",description:"Como o pr\xf3prio nome sugere, os somadores s\xe3o elementos de controle capazes de somar qualquer quantidade de valores reais.",source:"@site/docs/sum.md",slug:"/sum",permalink:"/PSP/docs/sum",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/sum.md",version:"current",sidebar_label:"Somador",sidebar:"docs",previous:{title:"Fun\xe7\xe3o Transfer\xeancia",permalink:"/PSP/docs/transferFunction"},next:{title:"Multiplicador",permalink:"/PSP/docs/multiplier"}},d=[{value:"Formul\xe1rio de edi\xe7\xe3o de dados do somador",id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-somador",children:[]}],u={toc:d};function l(e){var r=e.components,t=Object(n.a)(e,["components"]);return Object(a.b)("wrapper",Object(o.a)({},u,t,{components:r,mdxType:"MDXLayout"}),Object(a.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(a.b)("p",null,"Como o pr\xf3prio nome sugere, os somadores s\xe3o elementos de controle capazes de somar qualquer quantidade de valores reais."),Object(a.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-somador"},"Formul\xe1rio de edi\xe7\xe3o de dados do somador"),Object(a.b)("p",null,"A quantidade de entradas, assim como seus sinais s\xe3o definidas pelo usu\xe1rio, como mostra a figura abaixo."),Object(a.b)("div",null,Object(a.b)("center",null,Object(a.b)("img",{src:Object(i.a)("images/sumForm.png"),alt:"Formul\xe1rio de edi\xe7\xe3o de dados do somador no PSP-UFU",title:"Formul\xe1rio de edi\xe7\xe3o de dados do somador no PSP-UFU"}))),Object(a.b)("p",null,"No seu \xfanico campo \u201c",Object(a.b)("strong",{parentName:"p"},"Sinais"),"\u201d \xe9 inserida uma lista de sinais ",Object(a.b)("strong",{parentName:"p"},"separados por espa\xe7os")," contendo os s\xedmbolos \u201c+\u201d para uma entrada positiva e \u201c-\u201d para negativa."),Object(a.b)("div",{className:"admonition admonition-info alert alert--info"},Object(a.b)("div",{parentName:"div",className:"admonition-heading"},Object(a.b)("h5",{parentName:"div"},Object(a.b)("span",{parentName:"h5",className:"admonition-icon"},Object(a.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(a.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(a.b)("div",{parentName:"div",className:"admonition-content"},Object(a.b)("p",{parentName:"div"},"O usu\xe1rio pode inserir duas ou mais entradas de sinais no bloco."))),Object(a.b)("p",null,"Uma vez inseridas novas entradas, n\xf3s correspondentes ser\xe3o inclu\xeddos no elemento gr\xe1fico do somador, o qual poder\xe1 ser conectado por meio das linhas de conex\xe3o."),Object(a.b)("p",null,"De forma semelhante, o usu\xe1rio poder\xe1 excluir entradas de sinais pr\xe9-existentes, as quais ser\xe3o removidas no \xedcone gr\xe1fico pela remo\xe7\xe3o do n\xf3 e da linha (caso exista alguma conectada)."))}l.isMDXComponent=!0},140:function(e,r,t){"use strict";t.d(r,"a",(function(){return l})),t.d(r,"b",(function(){return b}));var o=t(0),n=t.n(o);function a(e,r,t){return r in e?Object.defineProperty(e,r,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[r]=t,e}function i(e,r){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);r&&(o=o.filter((function(r){return Object.getOwnPropertyDescriptor(e,r).enumerable}))),t.push.apply(t,o)}return t}function s(e){for(var r=1;r<arguments.length;r++){var t=null!=arguments[r]?arguments[r]:{};r%2?i(Object(t),!0).forEach((function(r){a(e,r,t[r])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):i(Object(t)).forEach((function(r){Object.defineProperty(e,r,Object.getOwnPropertyDescriptor(t,r))}))}return e}function c(e,r){if(null==e)return{};var t,o,n=function(e,r){if(null==e)return{};var t,o,n={},a=Object.keys(e);for(o=0;o<a.length;o++)t=a[o],r.indexOf(t)>=0||(n[t]=e[t]);return n}(e,r);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(o=0;o<a.length;o++)t=a[o],r.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(n[t]=e[t])}return n}var d=n.a.createContext({}),u=function(e){var r=n.a.useContext(d),t=r;return e&&(t="function"==typeof e?e(r):s(s({},r),e)),t},l=function(e){var r=u(e.components);return n.a.createElement(d.Provider,{value:r},e.children)},m={inlineCode:"code",wrapper:function(e){var r=e.children;return n.a.createElement(n.a.Fragment,{},r)}},p=n.a.forwardRef((function(e,r){var t=e.components,o=e.mdxType,a=e.originalType,i=e.parentName,d=c(e,["components","mdxType","originalType","parentName"]),l=u(t),p=o,b=l["".concat(i,".").concat(p)]||l[p]||m[p]||a;return t?n.a.createElement(b,s(s({ref:r},d),{},{components:t})):n.a.createElement(b,s({ref:r},d))}));function b(e,r){var t=arguments,o=r&&r.mdxType;if("string"==typeof e||o){var a=t.length,i=new Array(a);i[0]=p;var s={};for(var c in r)hasOwnProperty.call(r,c)&&(s[c]=r[c]);s.originalType=e,s.mdxType="string"==typeof e?e:o,i[1]=s;for(var d=2;d<a;d++)i[d]=t[d];return n.a.createElement.apply(null,i)}return n.a.createElement.apply(null,t)}p.displayName="MDXCreateElement"},141:function(e,r,t){"use strict";t.d(r,"b",(function(){return a})),t.d(r,"a",(function(){return i}));var o=t(16),n=t(142);function a(){const{siteConfig:{baseUrl:e="/",url:r}={}}=Object(o.default)();return{withBaseUrl:(t,o)=>function(e,r,t,{forcePrependBaseUrl:o=!1,absolute:a=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(o)return r+t;const i=t.startsWith(r)?t:r+t.replace(/^\//,"");return a?e+i:i}(r,e,t,o)}}function i(e,r={}){const{withBaseUrl:t}=a();return t(e,r)}},142:function(e,r,t){"use strict";function o(e){return!0===/^(\w*:|\/\/)/.test(e)}function n(e){return void 0!==e&&!o(e)}t.d(r,"b",(function(){return o})),t.d(r,"a",(function(){return n}))}}]);
\ No newline at end of file
diff --git a/docs/assets/js/eaff9a91.a35d9712.js b/docs/assets/js/eaff9a91.a35d9712.js
new file mode 100644
index 0000000..a001664
--- /dev/null
+++ b/docs/assets/js/eaff9a91.a35d9712.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[53],{127:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return i})),r.d(t,"metadata",(function(){return c})),r.d(t,"toc",(function(){return u})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),i={title:"2020w24a-beta",author:"Thales",author_title:"PhD",author_url:"https://github.com/thales1330",author_image_url:"https://avatars0.githubusercontent.com/u/16141330?s=460&v=4",tags:["psp-ufu"]},c={permalink:"/PSP/blog/2020/06/13/2020w24a-beta",editUrl:"https://github.com/Thales1330/PSP/tree/master/docs/blog/2020-06-13-2020w24a-beta.md",source:"@site/blog/2020-06-13-2020w24a-beta.md",description:"- \u2714\ufe0f Device context render implemented (to avoid use OpenGL - some machines can't use it properly);",date:"2020-06-13T00:00:00.000Z",formattedDate:"June 12, 2020",tags:[{label:"psp-ufu",permalink:"/PSP/blog/tags/psp-ufu"}],title:"2020w24a-beta",readingTime:.17,truncated:!1,prevItem:{title:"2020w28a-beta",permalink:"/PSP/blog/2020/07/09/2020w28a-beta"},nextItem:{title:"22019w44a-beta",permalink:"/PSP/blog/2019/11/01/2019w44a-beta"}},u=[],l={toc:u};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f Device context render implemented (to avoid use OpenGL - some machines can't use it properly);"),Object(o.b)("li",{parentName:"ul"},"\u2714\ufe0f Added Visual Studio solution to the GitHub project;"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udc1b Several major and minor bugfixes.")))}p.isMDXComponent=!0},140:function(e,t,r){"use strict";r.d(t,"a",(function(){return s})),r.d(t,"b",(function(){return f}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function c(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?i(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):i(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function u(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):c(c({},t),e)),r},s=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},b={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},m=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,i=e.parentName,l=u(e,["components","mdxType","originalType","parentName"]),s=p(r),m=n,f=s["".concat(i,".").concat(m)]||s[m]||b[m]||o;return r?a.a.createElement(f,c(c({ref:t},l),{},{components:r})):a.a.createElement(f,c({ref:t},l))}));function f(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,i=new Array(o);i[0]=m;var c={};for(var u in t)hasOwnProperty.call(t,u)&&(c[u]=t[u]);c.originalType=e,c.mdxType="string"==typeof e?e:n,i[1]=c;for(var l=2;l<o;l++)i[l]=r[l];return a.a.createElement.apply(null,i)}return a.a.createElement.apply(null,r)}m.displayName="MDXCreateElement"}}]);
\ No newline at end of file
diff --git a/docs/assets/js/eb483476.be43fa6f.js b/docs/assets/js/eb483476.be43fa6f.js
new file mode 100644
index 0000000..93acabf
--- /dev/null
+++ b/docs/assets/js/eb483476.be43fa6f.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[54],{128:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return c})),t.d(e,"metadata",(function(){return l})),t.d(e,"toc",(function(){return N})),t.d(e,"default",(function(){return j}));var s=t(3),n=t(7),m=(t(0),t(140)),p=t(141),b=t(146),r=t(147),c={id:"transformer",title:"Transformador",sidebar_label:"Transformador"},l={unversionedId:"transformer",id:"transformer",isDocsHomePage:!1,title:"Transformador",description:"Aparelho est\xe1tico com dois ou mais enrolamentos que, por indu\xe7\xe3o eletromagn\xe9tica, transforma um sistema de tens\xe3o e corrente alternada em outro sistema de tens\xe3o e corrente geralmente de valores diferentes e na mesma frequ\xeancia com o objetivo de transmitir energia el\xe9trica. [tradu\xe7\xe3o livre - IEC 60050](",source:"@site/docs/transformer.md",slug:"/transformer",permalink:"/PSP/docs/transformer",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/transformer.md",version:"current",sidebar_label:"Transformador",sidebar:"docs",previous:{title:"Linha",permalink:"/PSP/docs/line"},next:{title:"Carga",permalink:"/PSP/docs/load"}},N=[{value:"Transformador no PSP-UFU",id:"transformador-no-psp-ufu",children:[{value:"Transformadores no estudo de curto-circuito",id:"transformadores-no-estudo-de-curto-circuito",children:[]}]},{value:"Formul\xe1rio de edi\xe7\xe3o dos transformadores",id:"formul\xe1rio-de-edi\xe7\xe3o-dos-transformadores",children:[]}],i={toc:N};function j(a){var e=a.components,t=Object(n.a)(a,["components"]);return Object(m.b)("wrapper",Object(s.a)({},i,t,{components:e,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("blockquote",null,Object(m.b)("p",{parentName:"blockquote"},"Aparelho est\xe1tico com dois ou mais enrolamentos que, por indu\xe7\xe3o eletromagn\xe9tica, transforma um sistema de tens\xe3o e corrente alternada em outro sistema de tens\xe3o e corrente geralmente de valores diferentes e na mesma frequ\xeancia com o objetivo de transmitir energia el\xe9trica. ",Object(m.b)("a",{parentName:"p",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=421-01-01"},Object(m.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),".")),Object(m.b)("h2",{id:"transformador-no-psp-ufu"},"Transformador no PSP-UFU"),Object(m.b)("p",null,"Transformadores com quaisquer conex\xf5es e defasagens entre as tens\xf5es prim\xe1rias e secund\xe1rias podem ser inseridos no PSP-UFU. Para isso, os transformadores devem ser modelados representando seu tape (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"t")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"t")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.61508em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))))),") e defasagem (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03d5")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\phi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8888799999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"\u03d5"))))),"), utilizando um transformador ideal de rela\xe7\xe3o de transforma\xe7\xe3o ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"t"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mo",{parentName:"mrow"},":"),Object(m.b)("mn",{parentName:"mrow"},"1")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{t}:1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.81508em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.81508em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.73508em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},":"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1")))))," em s\xe9rie com sua imped\xe2ncia (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"T")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"r"),Object(m.b)("mi",{parentName:"msub"},"T")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mi",{parentName:"mrow"},"j"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"T"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{y}_T = r_T + jx_T")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8747em",verticalAlign:"-0.24414em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.19444em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.23419099999999995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4558600000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.24414em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.73333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.85396em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05724em"}},"j"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.32833099999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"), em que ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"t"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{t}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.81508em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.81508em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.73508em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))))))))))," \xe9 um n\xfamero complexo (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2220"),Object(m.b)("mi",{parentName:"mrow"},"\u03d5")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"t\\angle\\phi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8888799999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2220"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"\u03d5"))))),")"),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"O modelo utilizado no PSP-UFU ",Object(m.b)("strong",{parentName:"p"},"n\xe3o considera")," o ramo magnetizante ou imped\xe2ncias m\xfatuas entre as fases."))),Object(m.b)("p",null,"A figura abaixo mostra o modelo do transformador implementado no PSP-UFU:"),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/transformerModel.svg"),alt:"Modelo PI da linha",title:"Modelo PI da linha"}))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub",mathvariant:"bold"},"r"),Object(m.b)("mi",{parentName:"msub",mathvariant:"bold"},"T"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\bold{r_T}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.59444em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"r"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33027699999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathbf mtight"},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))),"\t\xe9 a resist\xeancia total do transformador;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub",mathvariant:"bold"},"x"),Object(m.b)("mi",{parentName:"msub",mathvariant:"bold"},"T"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\bold{x_T}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.59444em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33027699999999993em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathbf mtight"},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))),"\t\xe9 a reat\xe2ncia indutiva total do transformador;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mover",{parentName:"mrow",accent:"true"},Object(m.b)("mi",{parentName:"mover",mathvariant:"bold"},"t"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\bold{\\overline{t}}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8349200000000001em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8349200000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathbf"},"t"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.7549200000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))))))))))),"\t\xe9 a o tape complexo do transformador.")),Object(m.b)("p",null,"A rela\xe7\xe3o entre as tens\xf5es e correntes das barras gen\xe9ricas ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"i")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.65952em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"i")))))," e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"j")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"j")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.85396em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.05724em"}},"j")))))," \xe9 obtida pela equa\xe7\xe3o matricial:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"j")))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"I"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"j"),Object(m.b)("mi",{parentName:"mrow"},"i"))))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"T")),Object(m.b)("msup",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msup"},"t"),Object(m.b)("mn",{parentName:"msup"},"2")))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mstyle",{parentName:"mrow",scriptlevel:"0",displaystyle:"true"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"T")),Object(m.b)("msup",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"t"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mo",{parentName:"msup"},"\u2217")))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mstyle",{parentName:"mrow",scriptlevel:"0",displaystyle:"true"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"T")),Object(m.b)("mover",{parentName:"mfrac",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"t"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e"))))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"T")))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mo",{parentName:"mrow"},"\xd7"),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"i"))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msub"},"j")))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{bmatrix} \\dot{I}_{ij}\\\\ \\dot{I}_{ji} \\end{bmatrix} = \\begin{bmatrix} \\displaystyle \\frac{\\overline{y}_T}{t^2} & -\\displaystyle \\frac{\\overline{y}_T}{\\overline{t}^*}\\\\ -\\displaystyle \\frac{\\overline{y}_T}{\\overline{t}} & \\overline{y}_T \\end{bmatrix} \\times \\begin{bmatrix} \\dot{V}_{i}\\\\ \\dot{V}_{j} \\end{bmatrix}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.5603800000000003em",verticalAlign:"-1.0301900000000004em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"[")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.53019em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.61em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.311664em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05724em"}},"j"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.3298099999999997em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.07847em"}},"I"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.027780000000000013em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.311664em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05724em"}},"j"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0301900000000004em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"]"))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"4.202030000000001em",verticalAlign:"-1.850025em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.352005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-1.9499950000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a3"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0999950000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.1109850000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.352005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.850025em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.3019380000000007em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.301938em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.30756em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.30756em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.740108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.9890000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.6769999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.19444em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.23419099999999995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4558600000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.24414em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.2107020000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.30756em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.30756em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.29492em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.81508em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.73508em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.6769999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.19444em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.23419099999999995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4558600000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.24414em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.70508em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.8019379999999998em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.3019380000000007em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.301938em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.30756em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.30756em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.216324em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.81508em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.73508em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.893676em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.26798em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2217")))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.6769999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.19444em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.23419099999999995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4558600000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.24414em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.783676em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.2107020000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.30756em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.19444em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.23419099999999995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4558600000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.24414em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.8019379999999998em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.352005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-1.9499950000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a6"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0999950000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.1109850000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.352005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a4")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.850025em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\xd7"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.5603800000000003em",verticalAlign:"-1.0301900000000004em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"[")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.53019em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.61em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.3298099999999997em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.311664em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05724em"}},"j"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0301900000000004em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"]")))))))),Object(m.b)("p",null,"Assim como nas ",Object(m.b)("a",{parentName:"p",href:"line"},"linhas"),", o transformador de dois enrolamentos deve ser inserido entre barras, por\xe9m n\xe3o h\xe1 a necessidade das tens\xf5es nominais desses barramentos serem id\xeanticas."),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"A primeira barra selecionada ser\xe1 o lado ",Object(m.b)("strong",{parentName:"p"},"prim\xe1rio"),", o qual \xe9 indicado por um c\xedrculo. Para alterar o lado prim\xe1rio ap\xf3s a inser\xe7\xe3o basta desconectar os n\xf3s dos transformadores e reconect\xe1-los alternando as barras, utilizando as ",Object(m.b)("a",{parentName:"p",href:"cadTools#conex%C3%A3o-e-desconex%C3%A3o-de-elemetos-na-barra"},"ferramentas CAD"),"."))),Object(m.b)("h3",{id:"transformadores-no-estudo-de-curto-circuito"},"Transformadores no estudo de curto-circuito"),Object(m.b)("p",null,"Da mesma forma que no estudo de fluxo de carga, a representa\xe7\xe3o dos elementos do sistema para o estudo de curto-circuito \xe9 realizada por meio de circuitos equivalentes inseridos na matriz admit\xe2ncia de barras. Nas ",Object(m.b)("a",{parentName:"p",href:"fault"},"faltas desbalanceadas")," \xe9 necess\xe1rio formar tr\xeas matrizes admit\xe2ncia de sequ\xeancia: positiva, negativa e zero."),Object(m.b)("p",null,"A matriz admit\xe2ncia de sequ\xeancia positiva \xe9 constru\xedda da mesma forma que os estudos de fluxo de carga. Na sequ\xeancia negativa o \xe2ngulo de defasagem entre tens\xf5es prim\xe1ria e secund\xe1ria (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03d5")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\phi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8888799999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"\u03d5"))))),") deve ser invertido, uma vez que os fasores da sequ\xeancia negativa ",Object(m.b)("strong",{parentName:"p"},"s\xe3o deslocados na dire\xe7\xe3o oposta"),". Com isso, a matriz que representa as admit\xe2ncias da equa\xe7\xe3o anterior deve ser substitu\xedda pela seguinte express\xe3o:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"Y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"i"))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"Y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"j")))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"Y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"j"),Object(m.b)("mi",{parentName:"mrow"},"i"))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"Y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"j"),Object(m.b)("mi",{parentName:"mrow"},"j"))))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"["),Object(m.b)("mtable",{parentName:"mrow",rowspacing:"0.15999999999999992em",columnspacing:"1em"},Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mstyle",{parentName:"mstyle",scriptlevel:"0",displaystyle:"true"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"T")),Object(m.b)("msup",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msup"},"t"),Object(m.b)("mn",{parentName:"msup"},"2")))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mstyle",{parentName:"mrow",scriptlevel:"0",displaystyle:"true"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"T")),Object(m.b)("mover",{parentName:"mfrac",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"t"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")))))))),Object(m.b)("mtr",{parentName:"mtable"},Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("mrow",{parentName:"mstyle"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mstyle",{parentName:"mrow",scriptlevel:"0",displaystyle:"true"},Object(m.b)("mfrac",{parentName:"mstyle"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"T")),Object(m.b)("msup",{parentName:"mfrac"},Object(m.b)("mover",{parentName:"msup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"t"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mo",{parentName:"msup"},"\u2217"))))))),Object(m.b)("mtd",{parentName:"mtr"},Object(m.b)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},Object(m.b)("msub",{parentName:"mstyle"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"y"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"T")))))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"]"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{bmatrix} \\overline{Y}_{ii} & \\overline{Y}_{ij}\\\\ \\overline{Y}_{ji} & \\overline{Y}_{jj} \\end{bmatrix} = \\begin{bmatrix} \\displaystyle \\frac{\\overline{y}_T}{t^2} & -\\displaystyle \\frac{\\overline{y}_T}{\\overline{t}}\\\\ -\\displaystyle \\frac{\\overline{y}_T}{\\overline{t}^*} & \\overline{y}_T \\end{bmatrix}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.4866600000000005em",verticalAlign:"-0.9933300000000005em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"[")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.49333em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.61em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8833300000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.80333em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.31166399999999994em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.3666699999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8833300000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.80333em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.311664em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05724em"}},"j"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9933300000000005em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.49333em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.61em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8833300000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.80333em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.311664em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05724em"}},"j"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-2.3666699999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.8833300000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.80333em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.311664em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05724em"}},"j"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.05724em"}},"j"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9933300000000005em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"]"))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"4.202030000000001em",verticalAlign:"-1.850025em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.352005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-1.9499950000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a3"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0999950000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.1109850000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a2"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.352005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a1")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.850025em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mtable"},Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.3019380000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.301938em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.30756em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.30756em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.740108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.9890000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.6769999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.19444em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.23419099999999995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4558600000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.24414em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.686em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.2892979999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.30756em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.30756em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.216324em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.81508em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.73508em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.893676em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.26798em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"\u2217")))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.6769999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.19444em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.23419099999999995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4558600000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.24414em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.783676em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.8019380000000003em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"arraycolsep",style:{width:"0.5em"}}),Object(m.b)("span",{parentName:"span",className:"col-align-c"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.3019380000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-4.301938em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.30756em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.30756em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.29492em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.81508em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"t"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.73508em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.6769999999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.19444em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.23419099999999995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4558600000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.24414em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.70508em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))),Object(m.b)("span",{parentName:"span",style:{top:"-2.2892979999999996em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.30756em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"y"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}}))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.19444em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.23419099999999995em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4558600000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"T")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.24414em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.8019380000000003em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"2.352005em"}},Object(m.b)("span",{parentName:"span",style:{top:"-1.9499950000000004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a6"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.0999950000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.1109850000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a5"))),Object(m.b)("span",{parentName:"span",style:{top:"-4.352005em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.1550000000000002em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size4"},Object(m.b)("span",{parentName:"span"},"\u23a4")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.850025em"}},Object(m.b)("span",{parentName:"span"})))))))))))),Object(m.b)("p",null,"A imped\xe2ncia de sequ\xeancia negativa nos transformadores deve ser tratada de maneira espec\xedfica devido aos diferentes tipos de conex\xe3o. Na figura abaixo s\xe3o mostrados os circuitos equivalentes para cada tipo de conex\xe3o de transformadores de dois enrolamentos. As setas indicam os caminhos poss\xedveis para circula\xe7\xe3o da corrente de sequ\xeancia zero."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/seqZeroTrafo.svg"),alt:"Circuitos equivalentes de sequ\xeancia zero dos transformadores",title:"Circuitos equivalentes de sequ\xeancia zero dos transformadores"}))),Object(m.b)("p",null,"Para os transformadores com conex\xe3o estrela aterrado, se a liga\xe7\xe3o do neutro para a terra apresentar uma imped\xe2ncia ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\overline{z}_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.78056em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),", o circuito equivalente de sequ\xeancia zero deve ter imped\xe2ncia de ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"3"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msub",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"z"),Object(m.b)("mo",{parentName:"mover",stretchy:"true"},"\u203e")),Object(m.b)("mi",{parentName:"msub"},"n"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"3\\overline{z}_n")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.79444em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"3"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord overline"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.63056em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.04398em"}},"z"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.55056em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"overline-line",style:{borderBottomWidth:"0.04em"}})))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.151392em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," em s\xe9rie com a resist\xeancia e reat\xe2ncia equivalentes do transformador."),Object(m.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-dos-transformadores"},"Formul\xe1rio de edi\xe7\xe3o dos transformadores"),Object(m.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de inser\xe7\xe3o/altera\xe7\xe3o de dados dos transformadores:"),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/trafoForm.png"),alt:"Formul\xe1rio dos transformadores no PSP-UFU",title:"Formul\xe1rio dos transformadores no PSP-UFU"}))),Object(m.b)("p",null,"Esse formul\xe1rio \xe9 subdividido em dois contextos distintos:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Geral"),": no qual s\xe3o inseridas informa\xe7\xf5es gerais dos transformadores, informa\xe7\xf5es do fluxo de carga, sua conex\xe3o e defasagem;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Falta"),": local onde as imped\xe2ncias de sequ\xeancia zero e imped\xe2ncias de aterramento s\xe3o inseridas.")),Object(m.b)("p",null,'Al\xe9m desses dois contextos, pode ser observado o bot\xe3o "Estabilidade" na parte inferior esquerda do formul\xe1rio. Esse formul\xe1rio, comum a v\xe1rios outros elementos, permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do transformador durante o estudo de ',Object(m.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/trafoSw.png"),alt:"Formul\xe1rio de chaveamento do transformador",title:"Formul\xe1rio de chaveamento do transformador"}))),Object(m.b)(b.a,{groupId:"transformer-tabs",defaultValue:"general",values:[{label:"Geral",value:"general"},{label:"Falta",value:"fault"},{label:"Bot\xe3o Estabilidade",value:"stability"}],mdxType:"Tabs"},Object(m.b)(r.a,{value:"general",mdxType:"TabItem"},Object(m.b)("h4",{id:"nome"},"Nome"),Object(m.b)("p",null,"Identifica\xe7\xe3o do elemento el\xe9trico. Podem ser inseridos quaisquer n\xfameros de caracteres no padr\xe3o ",Object(m.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Unicode"},"Unicode"),"."),Object(m.b)("p",null,"Todos os componentes de pot\xeancia do PSP-UFU possuem esse campo."),Object(m.b)("h4",{id:"tens\xe3o-nominal"},"Tens\xe3o nominal"),Object(m.b)("p",null,"Campo de informa\xe7\xe3o ",Object(m.b)("em",{parentName:"p"},"n\xe3o edit\xe1vel")," que apresenta a tens\xe3o prim\xe1ria e secund\xe1ria do transformador. Para alterar esse campo \xe9 necess\xe1rio editar o campo correspondente dos ",Object(m.b)("a",{parentName:"p",href:"bus#geral"},"barramento")," conectados."),Object(m.b)("h4",{id:"tens\xe3o-base"},"Tens\xe3o base"),Object(m.b)("p",null,"Tens\xe3o utilizada para converter os par\xe2metros de imped\xe2ncia inseridos em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u03a9")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Omega")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u03a9")))))," para ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))," As tens\xf5es selecionadas por uma caixa de escolha s\xe3o editadas nos formul\xe1rios dos ",Object(m.b)("a",{parentName:"p",href:"bus#geral"},"barramentos")," conectados."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"A tens\xe3o base \xe9 ignorada caso os dados inseridos estejam em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))))),Object(m.b)("h4",{id:"pot\xeancia-nominal"},"Pot\xeancia nominal"),Object(m.b)("p",null,"Pot\xeancia nominal do transformador, inserida em MVA, kVA ou VA."),Object(m.b)("p",null,'Esse campo \xe9 especialmente importante caso a op\xe7\xe3o "Utilizar a pot\xeancia nominal como base" esteja marcada.'),Object(m.b)("h4",{id:"imped\xe2ncia-do-transformador"},"Imped\xe2ncia do transformador"),Object(m.b)("p",null,"Imped\xe2ncia s\xe9rie do transformador (resist\xeancia e reat\xe2ncia indutiva), inserida em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))," ou ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u03a9")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Omega")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u03a9"))))),". Caso as imped\xe2ncias sejam inseridas em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u03a9")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Omega")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u03a9")))))," ser\xe1 utilizada a tens\xe3o base selecionada para convers\xe3o para ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))),Object(m.b)("h4",{id:"conex\xe3o"},"Conex\xe3o"),Object(m.b)("p",null,"Conex\xe3o do transformador utilizada para c\xe1lculo das correntes de sequ\xeancia zero nas faltas desbalanceadas com presen\xe7a de terra (fase-terra e fase-fase-terra)."),Object(m.b)("p",null,"As seguintes conex\xf5es est\xe3o dispon\xedveis:"),Object(m.b)("ol",null,Object(m.b)("li",{parentName:"ol"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"o"))),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"o")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Y_{aterrado}-Y_{aterrado}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))),Object(m.b)("li",{parentName:"ol"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"Y"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"o")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Y-Y_{aterrado}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.76666em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))),Object(m.b)("li",{parentName:"ol"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"o"))),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mi",{parentName:"mrow"},"Y")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Y_{aterrado}-Y")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y")))))),Object(m.b)("li",{parentName:"ol"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"Y"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mi",{parentName:"mrow"},"Y")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Y-Y")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.76666em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y")))))),Object(m.b)("li",{parentName:"ol"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"o")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta-Y_{aterrado}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.76666em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))),Object(m.b)("li",{parentName:"ol"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mi",{parentName:"mrow"},"Y")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta-Y")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.76666em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y")))))),Object(m.b)("li",{parentName:"ol"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"o"))),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Y_{aterrado}-\\Delta")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394")))))),Object(m.b)("li",{parentName:"ol"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"Y"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Y-\\Delta")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.76666em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394")))))),Object(m.b)("li",{parentName:"ol"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta-\\Delta")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.76666em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394"))))))),Object(m.b)("h4",{id:"tap"},"TAP"),Object(m.b)("p",null,"Tape do transformador ",Object(m.b)("strong",{parentName:"p"},"em rela\xe7\xe3o ao prim\xe1rio"),"."),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"O tape no PSP-UFU deve ser inserido pela rela\xe7\xe3o entre a tens\xe3o prim\xe1ria nominal e a tens\xe3o de tape ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("mtext",{parentName:"mrow"},"TAP"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mi",{parentName:"mrow"},"o"),Object(m.b)("mi",{parentName:"mrow"},"m"),Object(m.b)("mi",{parentName:"mrow"},"i"),Object(m.b)("mi",{parentName:"mrow"},"n"),Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"l"))),Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow"},"e")))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\left(\\text{TAP} = \\frac{V_{nominal}}{V_{tape}}\\right)")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.80002em",verticalAlign:"-0.65002em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size2"},"(")),Object(m.b)("span",{parentName:"span",className:"mord text"},Object(m.b)("span",{parentName:"span",className:"mord"},"TAP")),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.894191em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.655em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.29634285714285713em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.357em",marginLeft:"-0.22222em",marginRight:"0.07142857142857144em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"p"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.2818857142857143em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.41586em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3487714285714287em",marginLeft:"-0.22222em",marginRight:"0.07142857142857144em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"m"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"n"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15122857142857138em"}},Object(m.b)("span",{parentName:"span"})))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.5423199999999999em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size2"},")"))))))),"."))),Object(m.b)("h4",{id:"defasagem"},"Defasagem"),Object(m.b)("p",null,"Defasagem do transformador em rela\xe7\xe3o ao prim\xe1rio, em graus. Esse valor independe do tipo de conex\xe3o, portanto para conex\xf5es diferentes de ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"Y"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mi",{parentName:"mrow"},"Y")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Y-Y")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.76666em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"))))),"(aterrado ou n\xe3o) e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\Delta-\\Delta")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.76666em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394"))))),", deve-se inserir o \xe2ngulo de defasagem correto."),Object(m.b)("h4",{id:"utilizar-pot\xeancia-nominal-como-base"},"Utilizar pot\xeancia nominal como base"),Object(m.b)("p",null,"Caso essa op\xe7\xe3o seja marcada, o programa ir\xe1 utilizar a pot\xeancia nominal do transformador como base para a convers\xe3o das unidades, caso contr\xe1rio ser\xe1 usada a ",Object(m.b)("a",{parentName:"p",href:"simulationConfig"},"pot\xeancia base do sistema"),".")),Object(m.b)(r.a,{value:"fault",mdxType:"TabItem"},Object(m.b)("h4",{id:"imped\xe2ncia-de-sequ\xeancia-zero-do-transformador"},"Imped\xe2ncia de sequ\xeancia zero do transformador"),Object(m.b)("p",null,"Esses par\xe2metros s\xe3o necess\xe1rios para o correto c\xe1lculo das correntes de ",Object(m.b)("a",{parentName:"p",href:"fault"},"falta desbalanceadas")," (fase-fase, fase-fase-terra e fase-terra) e devem ser inseridos em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))),Object(m.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"A n\xe3o inser\xe7\xe3o desses dados acarretar\xe3o em resultados incorretos para ",Object(m.b)("a",{parentName:"p",href:"fault"},"faltas desbalanceadas"),"."))),Object(m.b)("h4",{id:"imped\xe2ncias-de-aterramento"},"Imped\xe2ncias de aterramento"),Object(m.b)("p",null,"As imped\xe2ncias de aterramento s\xe3o somente utilizadas para conex\xe3o ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"Y"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"t"),Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"r"),Object(m.b)("mi",{parentName:"mrow"},"a"),Object(m.b)("mi",{parentName:"mrow"},"d"),Object(m.b)("mi",{parentName:"mrow"},"o")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Y_{aterrado}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"Y"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"t"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"e"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}},"r"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"a"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))))," e devem ser inseridas em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},"."))))))),Object(m.b)(r.a,{value:"stability",mdxType:"TabItem"},Object(m.b)("p",null,'O bot\xe3o "Estabilidade" ir\xe1 abrir um formul\xe1rio, comum a v\xe1rios outros elementos, que permite a inser\xe7\xe3o e/ou remo\xe7\xe3o do transformador durante o estudo de ',Object(m.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."),Object(m.b)("p",null,'Nesse formul\xe1rio pode ser criada uma lista gen\xe9rica de inser\xe7\xf5es e remo\xe7\xf5es da linha no tempo, personalizada por um contexto de propriedades de chaveamento que s\xe3o editados o tipo de chaveamento (inser\xe7\xe3o ou remo\xe7\xe3o) e o instante (em segundos) do evento. Essas propriedades s\xe3o atribu\xeddas e retiradas da lista gen\xe9rica por meio dos bot\xf5es "Adicionar" e "Remover", respectivamente.'))))}j.isMDXComponent=!0},140:function(a,e,t){"use strict";t.d(e,"a",(function(){return N})),t.d(e,"b",(function(){return O}));var s=t(0),n=t.n(s);function m(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function p(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(a);e&&(s=s.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,s)}return t}function b(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?p(Object(t),!0).forEach((function(e){m(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):p(Object(t)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(t,e))}))}return a}function r(a,e){if(null==a)return{};var t,s,n=function(a,e){if(null==a)return{};var t,s,n={},m=Object.keys(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||(n[t]=a[t]);return n}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(n[t]=a[t])}return n}var c=n.a.createContext({}),l=function(a){var e=n.a.useContext(c),t=e;return a&&(t="function"==typeof a?a(e):b(b({},e),a)),t},N=function(a){var e=l(a.components);return n.a.createElement(c.Provider,{value:e},a.children)},i={inlineCode:"code",wrapper:function(a){var e=a.children;return n.a.createElement(n.a.Fragment,{},e)}},j=n.a.forwardRef((function(a,e){var t=a.components,s=a.mdxType,m=a.originalType,p=a.parentName,c=r(a,["components","mdxType","originalType","parentName"]),N=l(t),j=s,O=N["".concat(p,".").concat(j)]||N[j]||i[j]||m;return t?n.a.createElement(O,b(b({ref:e},c),{},{components:t})):n.a.createElement(O,b({ref:e},c))}));function O(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var m=t.length,p=new Array(m);p[0]=j;var b={};for(var r in e)hasOwnProperty.call(e,r)&&(b[r]=e[r]);b.originalType=a,b.mdxType="string"==typeof a?a:s,p[1]=b;for(var c=2;c<m;c++)p[c]=t[c];return n.a.createElement.apply(null,p)}return n.a.createElement.apply(null,t)}j.displayName="MDXCreateElement"},141:function(a,e,t){"use strict";t.d(e,"b",(function(){return m})),t.d(e,"a",(function(){return p}));var s=t(16),n=t(142);function m(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(s.default)();return{withBaseUrl:(t,s)=>function(a,e,t,{forcePrependBaseUrl:s=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(s)return e+t;const p=t.startsWith(e)?t:e+t.replace(/^\//,"");return m?a+p:p}(e,a,t,s)}}function p(a,e={}){const{withBaseUrl:t}=m();return t(a,e)}},142:function(a,e,t){"use strict";function s(a){return!0===/^(\w*:|\/\/)/.test(a)}function n(a){return void 0!==a&&!s(a)}t.d(e,"b",(function(){return s})),t.d(e,"a",(function(){return n}))},143:function(a,e,t){"use strict";function s(a){var e,t,n="";if("string"==typeof a||"number"==typeof a)n+=a;else if("object"==typeof a)if(Array.isArray(a))for(e=0;e<a.length;e++)a[e]&&(t=s(a[e]))&&(n&&(n+=" "),n+=t);else for(e in a)a[e]&&(n&&(n+=" "),n+=e);return n}e.a=function(){for(var a,e,t=0,n="";t<arguments.length;)(a=arguments[t++])&&(e=s(a))&&(n&&(n+=" "),n+=e);return n}},144:function(a,e,t){"use strict";var s=t(0),n=t(145);e.a=function(){const a=Object(s.useContext)(n.a);if(null==a)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return a}},145:function(a,e,t){"use strict";var s=t(0);const n=Object(s.createContext)(void 0);e.a=n},146:function(a,e,t){"use strict";var s=t(0),n=t.n(s),m=t(144),p=t(143),b=t(56),r=t.n(b);const c=37,l=39;e.a=function(a){const{lazy:e,block:t,defaultValue:b,values:N,groupId:i,className:j}=a,{tabGroupChoices:O,setTabGroupChoices:o}=Object(m.a)(),[h,d]=Object(s.useState)(b),g=s.Children.toArray(a.children),u=[];if(null!=i){const a=O[i];null!=a&&a!==h&&N.some((e=>e.value===a))&&d(a)}const v=a=>{const e=a.target,t=u.indexOf(e),s=g[t].props.value;d(s),null!=i&&(o(i,s),setTimeout((()=>{(function(a){const{top:e,left:t,bottom:s,right:n}=a.getBoundingClientRect(),{innerHeight:m,innerWidth:p}=window;return e>=0&&n<=p&&s<=m&&t>=0})(e)||(e.scrollIntoView({block:"center",behavior:"smooth"}),e.classList.add(r.a.tabItemActive),setTimeout((()=>e.classList.remove(r.a.tabItemActive)),2e3))}),150))},y=a=>{var e;let t;switch(a.keyCode){case l:const e=u.indexOf(a.target)+1;t=u[e]||u[0];break;case c:const s=u.indexOf(a.target)-1;t=u[s]||u[u.length-1]}null===(e=t)||void 0===e||e.focus()};return n.a.createElement("div",{className:"tabs-container"},n.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(p.a)("tabs",{"tabs--block":t},j)},N.map((({value:a,label:e})=>n.a.createElement("li",{role:"tab",tabIndex:h===a?0:-1,"aria-selected":h===a,className:Object(p.a)("tabs__item",r.a.tabItem,{"tabs__item--active":h===a}),key:a,ref:a=>u.push(a),onKeyDown:y,onFocus:v,onClick:v},e)))),e?Object(s.cloneElement)(g.filter((a=>a.props.value===h))[0],{className:"margin-vert--md"}):n.a.createElement("div",{className:"margin-vert--md"},g.map(((a,e)=>Object(s.cloneElement)(a,{key:e,hidden:a.props.value!==h})))))}},147:function(a,e,t){"use strict";var s=t(0),n=t.n(s);e.a=function({children:a,hidden:e,className:t}){return n.a.createElement("div",{role:"tabpanel",hidden:e,className:t},a)}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/f4fe2c8f.657a7a1a.js b/docs/assets/js/f4fe2c8f.657a7a1a.js
new file mode 100644
index 0000000..c18f0e0
--- /dev/null
+++ b/docs/assets/js/f4fe2c8f.657a7a1a.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[55],{129:function(e,a,t){"use strict";t.r(a),t.d(a,"frontMatter",(function(){return d})),t.d(a,"metadata",(function(){return l})),t.d(a,"toc",(function(){return m})),t.d(a,"default",(function(){return u}));var o=t(3),n=t(7),r=(t(0),t(140)),i=t(141),s=t(146),c=t(147),d={id:"syncMotor",title:"Compensador S\xedncrono",sidebar_label:"Compensador S\xedncrono"},l={unversionedId:"syncMotor",id:"syncMotor",isDocsHomePage:!1,title:"Compensador S\xedncrono",description:"Uma m\xe1quina s\xedncrona operando sem carga mec\xe2nica e fornecendo ou absorvendo energia reativa. [tradu\xe7\xe3o livre - IEC 60050](",source:"@site/docs/syncMotor.md",slug:"/syncMotor",permalink:"/PSP/docs/syncMotor",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/syncMotor.md",version:"current",sidebar_label:"Compensador S\xedncrono",sidebar:"docs",previous:{title:"Gerador S\xedncrono",permalink:"/PSP/docs/syncGenerator"},next:{title:"Motor de Indu\xe7\xe3o",permalink:"/PSP/docs/indMotor"}},m=[{value:"Compensador S\xedncrono no PSP-UFU",id:"compensador-s\xedncrono-no-psp-ufu",children:[]},{value:"Formul\xe1rio de edi\xe7\xe3o dos compensadores s\xedncronos",id:"formul\xe1rio-de-edi\xe7\xe3o-dos-compensadores-s\xedncronos",children:[]}],p={toc:m};function u(e){var a=e.components,t=Object(n.a)(e,["components"]);return Object(r.b)("wrapper",Object(o.a)({},p,t,{components:a,mdxType:"MDXLayout"}),Object(r.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(r.b)("blockquote",null,Object(r.b)("p",{parentName:"blockquote"},"Uma m\xe1quina s\xedncrona operando sem carga mec\xe2nica e fornecendo ou absorvendo energia reativa. ",Object(r.b)("a",{parentName:"p",href:"http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=411-34-03"},Object(r.b)("em",{parentName:"a"},"tradu\xe7\xe3o livre")," - IEC 60050"),".")),Object(r.b)("h2",{id:"compensador-s\xedncrono-no-psp-ufu"},"Compensador S\xedncrono no PSP-UFU"),Object(r.b)("p",null,"O compensador s\xedncrono nada mais \xe9 que um motor s\xedncrono operando sem carga em seu eixo com o intuito de fornecer ou absorver pot\xeancia reativa na rede. Em rela\xe7\xe3o ao ",Object(r.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga"),", no PSP-UFU esse elemento tem comportamento id\xeantico ao ",Object(r.b)("a",{parentName:"p",href:"syncGenerator"},"gerador s\xedncrono"),", por\xe9m a sua pot\xeancia ativa \xe9 inserida nos algoritmos de solu\xe7\xe3o com sinal negativo."),Object(r.b)("p",null,"Sua parametriza\xe7\xe3o para o estudo de ",Object(r.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga"),", ",Object(r.b)("a",{parentName:"p",href:"fault"},"falta")," e ",Object(r.b)("a",{parentName:"p",href:"harmonics"},"harm\xf4nicos")," \xe9 id\xeantica ao ",Object(r.b)("a",{parentName:"p",href:"syncGenerator"},"gerador s\xedncrono"),"."),Object(r.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"O compensador s\xedncrono ",Object(r.b)("strong",{parentName:"p"},"n\xe3o foi implementado no estudo de ",Object(r.b)("a",{parentName:"strong",href:"stability"},"estabilidade"))," e sua presen\xe7a no circuito pode causar erros durante os c\xe1lculos."),Object(r.b)("p",{parentName:"div"},"N\xe3o inclua esse elemento para os estudos de ",Object(r.b)("a",{parentName:"p",href:"stability"},"estabilidade"),". Vers\xf5es futuras do PSP-UFU ir\xe3o contemplar esse elemento para esse estudo."))),Object(r.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"\xc9 poss\xedvel utilizar um ",Object(r.b)("a",{parentName:"p",href:"syncGenerator"},"gerador s\xedncrono")," com pot\xeancia ativa ",Object(r.b)("em",{parentName:"p"},"nula")," ou ",Object(r.b)("em",{parentName:"p"},"negativa")," para representar o compensador s\xedncrono nos estudos de ",Object(r.b)("a",{parentName:"p",href:"stability"},"estabilidade"),"."))),Object(r.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-dos-compensadores-s\xedncronos"},"Formul\xe1rio de edi\xe7\xe3o dos compensadores s\xedncronos"),Object(r.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de inser\xe7\xe3o/altera\xe7\xe3o de dados dos compensadores s\xedncronos:"),Object(r.b)("div",null,Object(r.b)("center",null,Object(r.b)("img",{src:Object(i.a)("images/syncMotorForm.png"),alt:"Formul\xe1rio dos compensadores s\xedncronos no PSP-UFU",title:"Formul\xe1rio dos compensadores s\xedncronos no PSP-UFU"}))),Object(r.b)(s.a,{groupId:"syncMotor-tabs",defaultValue:"general",values:[{label:"Geral",value:"general"},{label:"Falta",value:"fault"}],mdxType:"Tabs"},Object(r.b)(c.a,{value:"general",mdxType:"TabItem"},Object(r.b)("h4",{id:"nome"},"Nome"),Object(r.b)("p",null,"Identifica\xe7\xe3o do elemento el\xe9trico. Podem ser inseridos quaisquer n\xfameros de caracteres no padr\xe3o ",Object(r.b)("a",{parentName:"p",href:"https://pt.wikipedia.org/wiki/Unicode"},"Unicode"),"."),Object(r.b)("p",null,"Todos os componentes de pot\xeancia do PSP-UFU possuem esse campo."),Object(r.b)("h4",{id:"pot\xeancia-nominal"},"Pot\xeancia nominal"),Object(r.b)("p",null,"Pot\xeancia nominal do compensador, inserida em MVA, kVA ou VA."),Object(r.b)("p",null,'Esse campo \xe9 especialmente importante caso a op\xe7\xe3o "Utilizar a pot\xeancia nominal como base" esteja marcada.'),Object(r.b)("h4",{id:"pot\xeancias-ativa-e-reativa"},"Pot\xeancias ativa e reativa"),Object(r.b)("p",null,"Pot\xeancias ativa (inserida em W, kW, MW ou p.u.) e reativa (inserida em var, kvar, Mvar ou p.u.) do compensador."),Object(r.b)("p",null,"Caso a barra conectada seja PV o valor de pot\xeancia reativa ser\xe1 ignorado e caso seja de refer\xeancia ambos os valores inseridos ser\xe3o desprezados."),Object(r.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"Caso mais de um compensador esteja conectado na mesma barra, os valores de pot\xeancia reativa (nas barras de refer\xeancia e PV) e ativa (nas barras de refer\xeancia) s\xe3o igualmente distribu\xeddas, respeitando os limites individuais de pot\xeancia reativa."))),Object(r.b)("h4",{id:"pot\xeancias-reativas-m\xe1xima-e-m\xednima"},"Pot\xeancias reativas m\xe1xima e m\xednima"),Object(r.b)("p",null,"Limites de pot\xeancia reativa m\xe1xima e m\xednima do compensador para controle de tens\xe3o em barras PV. Caso esses valores sejam ultrapassados, o reativo gerado pela unidade ser\xe1 limitado ao valor inserido e a barra conectada ser\xe1 transformada em PQ, n\xe3o controlando a tens\xe3o estabelecida."),Object(r.b)("h4",{id:"utilizar-pot\xeancia-nominal-como-base"},"Utilizar pot\xeancia nominal como base"),Object(r.b)("p",null,"Caso essa op\xe7\xe3o seja marcada, o programa ir\xe1 utilizar a pot\xeancia nominal do compensador como base para a convers\xe3o das unidades, inclusive aqueles no formul\xe1rio de estabilidade, caso contr\xe1rio ser\xe1 usada a ",Object(r.b)("a",{parentName:"p",href:"simulationConfig"},"pot\xeancia base do sistema"),".")),Object(r.b)(c.a,{value:"fault",mdxType:"TabItem"},Object(r.b)("h4",{id:"imped\xe2ncias-de-sequ\xeancia"},"Imped\xe2ncias de sequ\xeancia"),Object(r.b)("p",null,"Valores de resist\xeancia e reat\xe2ncia para c\xe1lculo das correntes de falta. S\xe3o inseridos dados de sequ\xeancia positiva, negativa e zero."),Object(r.b)("h4",{id:"imped\xe2ncia-de-aterramento"},"Imped\xe2ncia de aterramento"),Object(r.b)("p",null,"Valores utilizados para o c\xe1lculo das correntes de falta do tipo fase-terra e fase-fase-terra. Caso o neutro do gerador n\xe3o seja aterrado, o valor inserido nesse campo \xe9 ignorado."),Object(r.b)("h4",{id:"neutro-aterrado"},"Neutro aterrado"),Object(r.b)("p",null,"Indica se o neutro do gerador \xe9 aterrado."))))}u.isMDXComponent=!0},140:function(e,a,t){"use strict";t.d(a,"a",(function(){return m})),t.d(a,"b",(function(){return b}));var o=t(0),n=t.n(o);function r(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function i(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);a&&(o=o.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,o)}return t}function s(e){for(var a=1;a<arguments.length;a++){var t=null!=arguments[a]?arguments[a]:{};a%2?i(Object(t),!0).forEach((function(a){r(e,a,t[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):i(Object(t)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(t,a))}))}return e}function c(e,a){if(null==e)return{};var t,o,n=function(e,a){if(null==e)return{};var t,o,n={},r=Object.keys(e);for(o=0;o<r.length;o++)t=r[o],a.indexOf(t)>=0||(n[t]=e[t]);return n}(e,a);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);for(o=0;o<r.length;o++)t=r[o],a.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(n[t]=e[t])}return n}var d=n.a.createContext({}),l=function(e){var a=n.a.useContext(d),t=a;return e&&(t="function"==typeof e?e(a):s(s({},a),e)),t},m=function(e){var a=l(e.components);return n.a.createElement(d.Provider,{value:a},e.children)},p={inlineCode:"code",wrapper:function(e){var a=e.children;return n.a.createElement(n.a.Fragment,{},a)}},u=n.a.forwardRef((function(e,a){var t=e.components,o=e.mdxType,r=e.originalType,i=e.parentName,d=c(e,["components","mdxType","originalType","parentName"]),m=l(t),u=o,b=m["".concat(i,".").concat(u)]||m[u]||p[u]||r;return t?n.a.createElement(b,s(s({ref:a},d),{},{components:t})):n.a.createElement(b,s({ref:a},d))}));function b(e,a){var t=arguments,o=a&&a.mdxType;if("string"==typeof e||o){var r=t.length,i=new Array(r);i[0]=u;var s={};for(var c in a)hasOwnProperty.call(a,c)&&(s[c]=a[c]);s.originalType=e,s.mdxType="string"==typeof e?e:o,i[1]=s;for(var d=2;d<r;d++)i[d]=t[d];return n.a.createElement.apply(null,i)}return n.a.createElement.apply(null,t)}u.displayName="MDXCreateElement"},141:function(e,a,t){"use strict";t.d(a,"b",(function(){return r})),t.d(a,"a",(function(){return i}));var o=t(16),n=t(142);function r(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(o.default)();return{withBaseUrl:(t,o)=>function(e,a,t,{forcePrependBaseUrl:o=!1,absolute:r=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(o)return a+t;const i=t.startsWith(a)?t:a+t.replace(/^\//,"");return r?e+i:i}(a,e,t,o)}}function i(e,a={}){const{withBaseUrl:t}=r();return t(e,a)}},142:function(e,a,t){"use strict";function o(e){return!0===/^(\w*:|\/\/)/.test(e)}function n(e){return void 0!==e&&!o(e)}t.d(a,"b",(function(){return o})),t.d(a,"a",(function(){return n}))},143:function(e,a,t){"use strict";function o(e){var a,t,n="";if("string"==typeof e||"number"==typeof e)n+=e;else if("object"==typeof e)if(Array.isArray(e))for(a=0;a<e.length;a++)e[a]&&(t=o(e[a]))&&(n&&(n+=" "),n+=t);else for(a in e)e[a]&&(n&&(n+=" "),n+=a);return n}a.a=function(){for(var e,a,t=0,n="";t<arguments.length;)(e=arguments[t++])&&(a=o(e))&&(n&&(n+=" "),n+=a);return n}},144:function(e,a,t){"use strict";var o=t(0),n=t(145);a.a=function(){const e=Object(o.useContext)(n.a);if(null==e)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return e}},145:function(e,a,t){"use strict";var o=t(0);const n=Object(o.createContext)(void 0);a.a=n},146:function(e,a,t){"use strict";var o=t(0),n=t.n(o),r=t(144),i=t(143),s=t(56),c=t.n(s);const d=37,l=39;a.a=function(e){const{lazy:a,block:t,defaultValue:s,values:m,groupId:p,className:u}=e,{tabGroupChoices:b,setTabGroupChoices:f}=Object(r.a)(),[v,O]=Object(o.useState)(s),j=o.Children.toArray(e.children),h=[];if(null!=p){const e=b[p];null!=e&&e!==v&&m.some((a=>a.value===e))&&O(e)}const g=e=>{const a=e.target,t=h.indexOf(a),o=j[t].props.value;O(o),null!=p&&(f(p,o),setTimeout((()=>{(function(e){const{top:a,left:t,bottom:o,right:n}=e.getBoundingClientRect(),{innerHeight:r,innerWidth:i}=window;return a>=0&&n<=i&&o<=r&&t>=0})(a)||(a.scrollIntoView({block:"center",behavior:"smooth"}),a.classList.add(c.a.tabItemActive),setTimeout((()=>a.classList.remove(c.a.tabItemActive)),2e3))}),150))},y=e=>{var a;let t;switch(e.keyCode){case l:const a=h.indexOf(e.target)+1;t=h[a]||h[0];break;case d:const o=h.indexOf(e.target)-1;t=h[o]||h[h.length-1]}null===(a=t)||void 0===a||a.focus()};return n.a.createElement("div",{className:"tabs-container"},n.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(i.a)("tabs",{"tabs--block":t},u)},m.map((({value:e,label:a})=>n.a.createElement("li",{role:"tab",tabIndex:v===e?0:-1,"aria-selected":v===e,className:Object(i.a)("tabs__item",c.a.tabItem,{"tabs__item--active":v===e}),key:e,ref:e=>h.push(e),onKeyDown:y,onFocus:g,onClick:g},a)))),a?Object(o.cloneElement)(j.filter((e=>e.props.value===v))[0],{className:"margin-vert--md"}):n.a.createElement("div",{className:"margin-vert--md"},j.map(((e,a)=>Object(o.cloneElement)(e,{key:a,hidden:e.props.value!==v})))))}},147:function(e,a,t){"use strict";var o=t(0),n=t.n(o);a.a=function({children:e,hidden:a,className:t}){return n.a.createElement("div",{role:"tabpanel",hidden:a,className:t},e)}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/f5562597.59211f81.js b/docs/assets/js/f5562597.59211f81.js
new file mode 100644
index 0000000..f9941b2
--- /dev/null
+++ b/docs/assets/js/f5562597.59211f81.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[56],{130:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return c})),r.d(t,"metadata",(function(){return s})),r.d(t,"toc",(function(){return u})),r.d(t,"default",(function(){return d}));var a=r(3),n=r(7),o=(r(0),r(140)),i=r(141),c={id:"tabularReport",title:"Relat\xf3rios Tabulares",sidebar_label:"Relat\xf3rios Tabulares"},s={unversionedId:"tabularReport",id:"tabularReport",isDocsHomePage:!1,title:"Relat\xf3rios Tabulares",description:"Para visualiza\xe7\xe3o de todos os resultados dos c\xe1lculos de fluxo de carga e curto-circuito, desenvolveu-se um visualizador de relat\xf3rios tabulares:",source:"@site/docs/tabularReport.md",slug:"/tabularReport",permalink:"/PSP/docs/tabularReport",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/tabularReport.md",version:"current",sidebar_label:"Relat\xf3rios Tabulares",sidebar:"docs",previous:{title:"Texto Vinculado",permalink:"/PSP/docs/text"},next:{title:"Visualizador de Gr\xe1ficos",permalink:"/PSP/docs/graphViewer"}},u=[],l={toc:u};function d(e){var t=e.components,r=Object(n.a)(e,["components"]);return Object(o.b)("wrapper",Object(a.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("link",{rel:"stylesheet",href:Object(i.a)("katex/katex.min.css")}),Object(o.b)("p",null,"Para visualiza\xe7\xe3o de todos os resultados dos c\xe1lculos de ",Object(o.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga")," e ",Object(o.b)("a",{parentName:"p",href:"fault"},"curto-circuito"),", desenvolveu-se um visualizador de relat\xf3rios tabulares:"),Object(o.b)("div",null,Object(o.b)("center",null,Object(o.b)("img",{src:Object(i.a)("images/tabReport.png"),alt:"Visualizador de dados tabulados no PSP-UFU",title:"Visualizador de dados tabulados no PSP-UFU"}))),Object(o.b)("p",null,"Tal visualizador pode ser acessado no ",Object(o.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"submenu Ribbon")," ",Object(o.b)("strong",{parentName:"p"},"Ferramentas")," e ent\xe3o no bot\xe3o ",Object(o.b)("strong",{parentName:"p"},"Relat\xf3rio de dados"),", sendo exibido o formul\xe1rio organizado em abas."),Object(o.b)("p",null,"As grandezas de alguns dados desse relat\xf3rio podem ser modificadas, sendo selecionadas no cabe\xe7alho da tabela, como mostra a figura acima."),Object(o.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(o.b)("div",{parentName:"div",className:"admonition-heading"},Object(o.b)("h5",{parentName:"div"},Object(o.b)("span",{parentName:"h5",className:"admonition-icon"},Object(o.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(o.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(o.b)("div",{parentName:"div",className:"admonition-content"},Object(o.b)("p",{parentName:"div"},"Os valores podem ser exportados para editores de texto e tabelas externos, selecionando e copiando (Ctrl+C) para a \xe1rea de transfer\xeancia."))))}d.isMDXComponent=!0},140:function(e,t,r){"use strict";r.d(t,"a",(function(){return d})),r.d(t,"b",(function(){return f}));var a=r(0),n=r.n(a);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);t&&(a=a.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,a)}return r}function c(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?i(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):i(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function s(e,t){if(null==e)return{};var r,a,n=function(e,t){if(null==e)return{};var r,a,n={},o=Object.keys(e);for(a=0;a<o.length;a++)r=o[a],t.indexOf(r)>=0||(n[r]=e[r]);return n}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(a=0;a<o.length;a++)r=o[a],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(n[r]=e[r])}return n}var u=n.a.createContext({}),l=function(e){var t=n.a.useContext(u),r=t;return e&&(r="function"==typeof e?e(t):c(c({},t),e)),r},d=function(e){var t=l(e.components);return n.a.createElement(u.Provider,{value:t},e.children)},b={inlineCode:"code",wrapper:function(e){var t=e.children;return n.a.createElement(n.a.Fragment,{},t)}},p=n.a.forwardRef((function(e,t){var r=e.components,a=e.mdxType,o=e.originalType,i=e.parentName,u=s(e,["components","mdxType","originalType","parentName"]),d=l(r),p=a,f=d["".concat(i,".").concat(p)]||d[p]||b[p]||o;return r?n.a.createElement(f,c(c({ref:t},u),{},{components:r})):n.a.createElement(f,c({ref:t},u))}));function f(e,t){var r=arguments,a=t&&t.mdxType;if("string"==typeof e||a){var o=r.length,i=new Array(o);i[0]=p;var c={};for(var s in t)hasOwnProperty.call(t,s)&&(c[s]=t[s]);c.originalType=e,c.mdxType="string"==typeof e?e:a,i[1]=c;for(var u=2;u<o;u++)i[u]=r[u];return n.a.createElement.apply(null,i)}return n.a.createElement.apply(null,r)}p.displayName="MDXCreateElement"},141:function(e,t,r){"use strict";r.d(t,"b",(function(){return o})),r.d(t,"a",(function(){return i}));var a=r(16),n=r(142);function o(){const{siteConfig:{baseUrl:e="/",url:t}={}}=Object(a.default)();return{withBaseUrl:(r,a)=>function(e,t,r,{forcePrependBaseUrl:a=!1,absolute:o=!1}={}){if(!r)return r;if(r.startsWith("#"))return r;if(Object(n.b)(r))return r;if(a)return t+r;const i=r.startsWith(t)?r:t+r.replace(/^\//,"");return o?e+i:i}(t,e,r,a)}}function i(e,t={}){const{withBaseUrl:r}=o();return r(e,t)}},142:function(e,t,r){"use strict";function a(e){return!0===/^(\w*:|\/\/)/.test(e)}function n(e){return void 0!==e&&!a(e)}r.d(t,"b",(function(){return a})),r.d(t,"a",(function(){return n}))}}]);
\ No newline at end of file
diff --git a/docs/assets/js/f9c3174d.3546db4d.js b/docs/assets/js/f9c3174d.3546db4d.js
new file mode 100644
index 0000000..4a704a9
--- /dev/null
+++ b/docs/assets/js/f9c3174d.3546db4d.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[57],{131:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return b})),t.d(e,"metadata",(function(){return i})),t.d(e,"toc",(function(){return l})),t.d(e,"default",(function(){return N}));var s=t(3),n=t(7),m=(t(0),t(140)),p=t(141),r=t(146),c=t(147),b={id:"simulationConfig",title:"Configura\xe7\xf5es da Simula\xe7\xe3o",sidebar_label:"Configura\xe7\xf5es da Simula\xe7\xe3o"},i={unversionedId:"simulationConfig",id:"simulationConfig",isDocsHomePage:!1,title:"Configura\xe7\xf5es da Simula\xe7\xe3o",description:"As parametriza\xe7\xf5es e configura\xe7\xf5es das simula\xe7\xf5es s\xe3o acessadas no menu Simula\xe7\xe3o clicando no \xedcone do bot\xe3o Configura\xe7\xf5es de simula\xe7\xe3o.",source:"@site/docs/simulationConfig.md",slug:"/simulationConfig",permalink:"/PSP/docs/simulationConfig",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/simulationConfig.md",version:"current",sidebar_label:"Configura\xe7\xf5es da Simula\xe7\xe3o",sidebar:"docs",previous:{title:"Estabilidade",permalink:"/PSP/docs/stability"},next:{title:"Texto Vinculado",permalink:"/PSP/docs/text"}},l=[{value:"Formul\xe1rio de edi\xe7\xe3o das configura\xe7\xf5es de simula\xe7\xe3o",id:"formul\xe1rio-de-edi\xe7\xe3o-das-configura\xe7\xf5es-de-simula\xe7\xe3o",children:[]}],o={toc:l};function N(a){var e=a.components,t=Object(n.a)(a,["components"]);return Object(m.b)("wrapper",Object(s.a)({},o,t,{components:e,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("p",null,"As parametriza\xe7\xf5es e configura\xe7\xf5es das simula\xe7\xf5es s\xe3o acessadas no ",Object(m.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"menu Simula\xe7\xe3o")," clicando no \xedcone do bot\xe3o ",Object(m.b)("strong",{parentName:"p"},"Configura\xe7\xf5es de simula\xe7\xe3o"),"."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/menuSimulationSettings.svg"),alt:"Menu Simula\xe7\xe3o",title:"Menu Simula\xe7\xe3o"}))),Object(m.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-das-configura\xe7\xf5es-de-simula\xe7\xe3o"},"Formul\xe1rio de edi\xe7\xe3o das configura\xe7\xf5es de simula\xe7\xe3o"),Object(m.b)("p",null,"A imagem abaixo apresenta o formul\xe1rio de edi\xe7\xe3o das configura\xe7\xf5es de simula\xe7\xe3o:"),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/simulationConfigForm.png"),alt:"Configura\xe7\xf5es de simula\xe7\xe3o",title:"Configura\xe7\xf5es de simula\xe7\xe3o"}))),Object(m.b)("p",null,"Esse formul\xe1rio \xe9 subdividido em quatro contextos distintos:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Geral"),": no qual s\xe3o inseridas informa\xe7\xf5es gerais e comuns a v\xe1rias simula\xe7\xf5es;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Fluxo de carga"),": local onde \xe9 selecionado o ",Object(m.b)("a",{parentName:"li",href:"powerFlow#m%C3%A9todos-de-solu%C3%A7%C3%A3o-num%C3%A9rica-do-fluxo-de-carga-no-psp-ufu"},"m\xe9todo de solu\xe7\xe3o num\xe9rica"),", assim como seus par\xe2metros;"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Estabilidade"),": contendo op\xe7\xf5es de simula\xe7\xe3o no tempo e par\xe2metros do ",Object(m.b)("a",{parentName:"li",href:"stability#integra%C3%A7%C3%A3o-num%C3%A9rica"},"m\xe9todo de integra\xe7\xe3o"),";"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("strong",{parentName:"li"},"Carga ZIP"),": cont\xe9m as op\xe7\xf5es gerais das ",Object(m.b)("a",{parentName:"li",href:"load#carga-no-estudo-de-estabilidade"},"cargas do tipo ZIP")," no estudo de ",Object(m.b)("a",{parentName:"li",href:"stability"},"estabilidade"),".")),Object(m.b)("hr",null),Object(m.b)(r.a,{groupId:"simulationConfigs-tabs",defaultValue:"general",values:[{label:"Geral",value:"general"},{label:"Fluxo de carga",value:"powerFlow"},{label:"Estabilidade",value:"stability"},{label:"Carga ZIP",value:"zipLoad"}],mdxType:"Tabs"},Object(m.b)(c.a,{value:"general",mdxType:"TabItem"},Object(m.b)("h4",{id:"pot\xeancia-base"},"Pot\xeancia base"),Object(m.b)("p",null,"Pot\xeancia base do sistema utilizada para convers\xe3o dos dados reais em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))," e vice-versa. Pode ser inserido em VA, kVA ou MVA."),Object(m.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},'A pot\xeancia base de cada elemento pode ser distinta da pot\xeancia base do sistema. Para isso, basta marcar a op\xe7\xe3o "Utilizar pot\xeancia nominal ',"[",Object(m.b)("em",{parentName:"p"},"do elemento"),"]",' como base", presente em seus respectivos ',Object(m.b)("a",{parentName:"p",href:"powerEditor"},"formul\xe1rios de edi\xe7\xe3o da dados"),"."))),Object(m.b)("h4",{id:"frequ\xeancia-do-sistema"},"Frequ\xeancia do sistema"),Object(m.b)("p",null,"Define a frequ\xeancia nominal do sistema."),Object(m.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},'Ao alterar a frequ\xeancia nominal atente-se ao campo "',Object(m.b)("a",{parentName:"p",href:"syncGenerator#frequ%C3%AAncia-de-circuito-aberto"},"Frequ\xeancia de circuito aberto"),'" das m\xe1quinas s\xedncronas.'))),Object(m.b)("h4",{id:"c\xe1lculo-cont\xednuo"},"C\xe1lculo cont\xednuo"),Object(m.b)("p",null,"Habilita ou desabilita o c\xe1lculo cont\xednuo para os c\xe1lculos de ",Object(m.b)("a",{parentName:"p",href:"fault"},"curto-circuito"),", ",Object(m.b)("a",{parentName:"p",href:"fault"},"n\xedvel de curto-circuito")," e ",Object(m.b)("a",{parentName:"p",href:"harmonics"},"distor\xe7\xf5es harm\xf4nicas"),". O c\xe1lculo cont\xednuo para o ",Object(m.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga")," \xe9 sempre habilitado."),Object(m.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Para habilitar o c\xe1lculo cont\xednuo aperte o bot\xe3o ",Object(m.b)("strong",{parentName:"p"},"Habilitar solu\xe7\xe3o")," presente no ",Object(m.b)("a",{parentName:"p",href:"mainScreen#menu-ribbon"},"menu Simula\xe7\xe3o"),"."),Object(m.b)("p",{parentName:"div"},"Com essa op\xe7\xe3o, os c\xe1lculos est\xe1ticos selecionados s\xe3o automaticamente realizados ao modificar quaisquer par\xe2metros da rede, como dados el\xe9tricos e acionamento dos disjuntores dos elementos (remo\xe7\xe3o ou inser\xe7\xe3o).")))),Object(m.b)(c.a,{value:"powerFlow",mdxType:"TabItem"},Object(m.b)("h4",{id:"m\xe9todo-de-solu\xe7\xe3o"},"M\xe9todo de solu\xe7\xe3o"),Object(m.b)("p",null,"Define o m\xe9todo de solu\xe7\xe3o num\xe9rica para o estudo de ",Object(m.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga"),". Na vers\xe3o atual, est\xe1 presente no PSP-UFU os seguintes m\xe9todos:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"powerFlow#gauss-seidel"},"Gauss-Seidel")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"powerFlow#newton-raphson"},"Newton-Raphson")),Object(m.b)("li",{parentName:"ul"},Object(m.b)("a",{parentName:"li",href:"powerFlow#m%C3%A9todos-de-solu%C3%A7%C3%A3o-num%C3%A9rica-do-fluxo-de-carga-no-psp-ufu"},"Gauss-Newton h\xedbrido"))),Object(m.b)("h4",{id:"fator-de-acelera\xe7\xe3o"},"Fator de acelera\xe7\xe3o"),Object(m.b)("p",null,"Fator utilizado para acelerar a converg\xeancia nos m\xe9todos de Gauss. A utiliza\xe7\xe3o do fator de acelera\xe7\xe3o \xe9 realizada por meio da equa\xe7\xe3o:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("msub",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"msub"},"i"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"A"),Object(m.b)("mi",{parentName:"mrow"},"C"))),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"v"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mi",{parentName:"mrow"},"\u03b1"),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msubsup"},"i"),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"v"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("msub",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"msub"},"i"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"A"),Object(m.b)("mi",{parentName:"mrow"},"C"))),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"v"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("msub",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"msub"},"i"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"A"),Object(m.b)("mi",{parentName:"mrow"},"C"))),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"v"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_{i_{AC}}^{(v + 1)} = \\alpha \\left( \\dot{V}_{i}^{(v + 1)}- \\dot{V}_{i_{AC}}^{(v)} \\right) + \\dot{V}_{i_{AC}}^{(v)}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.4219689999999998em",verticalAlign:"-0.377169em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3567071428571427em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"A"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"C"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.14329285714285717em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(m.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.377169em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.80002em",verticalAlign:"-0.65002em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.0037em"}},"\u03b1"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size2"},"(")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(m.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.276864em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3567071428571427em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"A"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"C"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.14329285714285717em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(m.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.377169em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size2"},")"))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.4219689999999998em",verticalAlign:"-0.377169em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3567071428571427em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"A"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"C"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.14329285714285717em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(m.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.377169em"}},Object(m.b)("span",{parentName:"span"}))))))))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("msub",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"msub"},"i"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"A"),Object(m.b)("mi",{parentName:"mrow"},"C"))),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"v"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_{i_{AC}}^{(v + 1)}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.4219689999999998em",verticalAlign:"-0.377169em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3567071428571427em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"A"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"C"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.14329285714285717em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(m.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.377169em"}},Object(m.b)("span",{parentName:"span"}))))))))))," \xe9 a tens\xe3o complexa da itera\xe7\xe3o atual com fator de acelera\xe7\xe3o aplicado"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("mi",{parentName:"msubsup"},"i"),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"v"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_{i}^{(v + 1)}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.321664em",verticalAlign:"-0.27686399999999994em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(m.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.27686399999999994em"}},Object(m.b)("span",{parentName:"span"}))))))))))," \xe9 a tens\xe3o complexa da itera\xe7\xe3o atual"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mover",{parentName:"msubsup",accent:"true"},Object(m.b)("mi",{parentName:"mover"},"V"),Object(m.b)("mo",{parentName:"mover"},"\u02d9")),Object(m.b)("msub",{parentName:"msubsup"},Object(m.b)("mi",{parentName:"msub"},"i"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"A"),Object(m.b)("mi",{parentName:"mrow"},"C"))),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"v"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\dot{V}_{i_{AC}}^{(v)}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.4219689999999998em",verticalAlign:"-0.377169em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord accent"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9201900000000001em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.25233em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"accent-body",style:{left:"-0.13889em"}},Object(m.b)("span",{parentName:"span",className:"mord"},"\u02d9"))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.3567071428571427em",marginLeft:"0em",marginRight:"0.07142857142857144em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.5em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size3 size1 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"A"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.07153em"}},"C"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.14329285714285717em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(m.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.377169em"}},Object(m.b)("span",{parentName:"span"}))))))))))," \xe9 a tens\xe3o complexa da itera\xe7\xe3o anterior com fator de acelera\xe7\xe3o aplicado"),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03b1")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\alpha")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.0037em"}},"\u03b1")))))," \xe9 o fator de acelera\xe7\xe3o")),Object(m.b)("p",null,"Essa op\xe7\xe3o \xe9 habilitada somente para os m\xe9todos de ",Object(m.b)("a",{parentName:"p",href:"powerFlow#gauss-seidel"},"Gauss-Seidel")," e ",Object(m.b)("a",{parentName:"p",href:"powerFlow#m%C3%A9todos-de-solu%C3%A7%C3%A3o-num%C3%A9rica-do-fluxo-de-carga-no-psp-ufu"},"Gauss-Newton h\xedbrido"),"."),Object(m.b)("h4",{id:"toler\xe2ncia"},"Toler\xe2ncia"),Object(m.b)("p",null,"\xc9 o valor de erro entre as itera\xe7\xf5es (em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},"."))))),") no qual \xe9 obtida a converg\xeancia do m\xe9todo num\xe9rico."),Object(m.b)("p",null,"Para o m\xe9todo de ",Object(m.b)("a",{parentName:"p",href:"powerFlow#gauss-seidel"},"Gauss-Seidel")," o erro \xe9 calculado pelo maior valor do m\xf3dulo da diferen\xe7a entre a tens\xe3o na itera\xe7\xe3o anterior e atual (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"e"),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"\u2223"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"V"),Object(m.b)("mi",{parentName:"msubsup"},"i"),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"v"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("msubsup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msubsup"},"V"),Object(m.b)("mi",{parentName:"msubsup"},"i"),Object(m.b)("mrow",{parentName:"msubsup"},Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},"("),Object(m.b)("mi",{parentName:"mrow"},"v"),Object(m.b)("mo",{parentName:"mrow",stretchy:"false"},")"))),Object(m.b)("mo",{parentName:"mrow",fence:"true"},"\u2223"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e = \\left| V_{i}^{(v + 1)} - V_{i}^{(v)} \\right|")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"e"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.8239899999999998em",verticalAlign:"-0.6500149999999999em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.173975em"}},Object(m.b)("span",{parentName:"span",style:{top:"-1.955985em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.606em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size1"},Object(m.b)("span",{parentName:"span"},"\u2223"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.556985em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.606em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size1"},Object(m.b)("span",{parentName:"span"},"\u2223"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.572975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.606em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size1"},Object(m.b)("span",{parentName:"span"},"\u2223"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.173975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.606em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size1"},Object(m.b)("span",{parentName:"span"},"\u2223")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.6500149999999999em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(m.b)("span",{parentName:"span",className:"mbin mtight"},"+"),Object(m.b)("span",{parentName:"span",className:"mord mtight"},"1"),Object(m.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.27686399999999994em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.0448em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.4231360000000004em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"i")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.2198em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mopen mtight"},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"v"),Object(m.b)("span",{parentName:"span",className:"mclose mtight"},")"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.27686399999999994em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mclose"},Object(m.b)("span",{parentName:"span",className:"delimsizing mult"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.173975em"}},Object(m.b)("span",{parentName:"span",style:{top:"-1.955985em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.606em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size1"},Object(m.b)("span",{parentName:"span"},"\u2223"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.556985em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.606em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size1"},Object(m.b)("span",{parentName:"span"},"\u2223"))),Object(m.b)("span",{parentName:"span",style:{top:"-2.572975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.606em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size1"},Object(m.b)("span",{parentName:"span"},"\u2223"))),Object(m.b)("span",{parentName:"span",style:{top:"-3.173975em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.606em"}}),Object(m.b)("span",{parentName:"span",className:"delimsizinginner delim-size1"},Object(m.b)("span",{parentName:"span"},"\u2223")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.6500149999999999em"}},Object(m.b)("span",{parentName:"span"}))))))))))),"); enquanto que no m\xe9todo de ",Object(m.b)("a",{parentName:"p",href:"powerFlow#newton-raphson"},"Newton-Raphson")," esse erro \xe9 o m\xf3dulo do maior valor de ajuste de pot\xeancia (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2223"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(m.b)("mi",{parentName:"mrow"},"P"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2223")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"|\\Delta P|")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2223"),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2223")))))," ou ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2223"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u0394"),Object(m.b)("mi",{parentName:"mrow"},"Q"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"\u2223")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"|\\Delta Q|")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2223"),Object(m.b)("span",{parentName:"span",className:"mord"},"\u0394"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2223"))))),")."),Object(m.b)("h4",{id:"itera\xe7\xf5es-m\xe1x"},"Itera\xe7\xf5es m\xe1x"),Object(m.b)("p",null,"\xc9 o n\xfamero m\xe1ximo de itera\xe7\xf5es que um m\xe9todo poder\xe1 alcan\xe7ar. Caso esse valor seja alcan\xe7ado, o c\xe1lculo de ",Object(m.b)("a",{parentName:"p",href:"powerFlow"},"fluxo de carga")," \xe9 interrompido com erro."),Object(m.b)("h4",{id:"\xe2ngulo-da-barra-de-refer\xeancia"},"\xc2ngulo da barra de refer\xeancia"),Object(m.b)("p",null,"\xc9 o valor do \xe2ngulo da ",Object(m.b)("a",{parentName:"p",href:"powerFlow"},"barra de refer\xeancia"),", em graus."),Object(m.b)("h4",{id:"in\xe9rcia-do-newton"},"In\xe9rcia do Newton"),Object(m.b)("p",null,"\xc9 o valor que multiplica as corre\xe7\xf5es de pot\xeancia. Valores maiores que ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1{,}0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0")))))," incrementam a corre\xe7\xe3o e menores que ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1{,}0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0")))))," diminuem a corre\xe7\xe3o."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Valores menores que ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1{,}0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0")))))," ",Object(m.b)("em",{parentName:"p"},"podem")," auxiliar na converg\xeancia, por\xe9m aumentam o n\xfamero de itera\xe7\xf5es e consequentemente o tempo de processamento do m\xe9todo."))),Object(m.b)("p",null,"Essa op\xe7\xe3o \xe9 habilitada somente para o m\xe9todo de ",Object(m.b)("a",{parentName:"p",href:"powerFlow#newton-raphson"},"Newton-Raphson"),"."),Object(m.b)("h4",{id:"toler\xe2ncia-do-gauss"},"Toler\xe2ncia do Gauss"),Object(m.b)("p",null,"Define a toler\xe2ncia do Gauss-Seidel para o m\xe9todo h\xedbrido. Essa op\xe7\xe3o \xe9 habilitada somente para o m\xe9todo de ",Object(m.b)("a",{parentName:"p",href:"powerFlow#m%C3%A9todos-de-solu%C3%A7%C3%A3o-num%C3%A9rica-do-fluxo-de-carga-no-psp-ufu"},"Gauss-Newton h\xedbrido"),"."),Object(m.b)("p",null,"Uma vez que o Newton-Raphson \xe9 consideravelmente sens\xedvel \xe0s condi\xe7\xf5es iniciais, as primeiras itera\xe7\xf5es s\xe3o calculadas utilizado o Gauss-Seidel at\xe9 que o erro fique menor que a toler\xe2ncia especificada no campo \u201cToler\xe2ncia do Gauss\u201d. A partir desse ponto o c\xe1lculo \xe9 realizado utilizando o m\xe9todo de Newton-Raphson at\xe9 que se obtenha a converg\xeancia com um erro menor que a toler\xe2ncia estipulada no campo \u201cToler\xe2ncia\u201d."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Tal op\xe7\xe3o auxilia na converg\xeancia de sistemas imposs\xedveis de resolver utilizando Newton-Raphson convencional.")))),Object(m.b)(c.a,{value:"stability",mdxType:"TabItem"},Object(m.b)("h4",{id:"passo-de-integra\xe7\xe3o"},"Passo de integra\xe7\xe3o"),Object(m.b)("p",null,"Define o passo de integra\xe7\xe3o para o m\xe9todo de integra\xe7\xe3o ",Object(m.b)("a",{parentName:"p",href:"stability#integra%C3%A7%C3%A3o-num%C3%A9rica"},"Trapezoidal Impl\xedcito"),"."),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Valores muito elevados poder\xe3o gerar erros de simula\xe7\xe3o, enquanto valores muito pequenos aumentar\xe3o significativamente o tempo de processamento do c\xe1lculo de estabilidade."))),Object(m.b)("h4",{id:"tempo-de-simula\xe7\xe3o"},"Tempo de simula\xe7\xe3o"),Object(m.b)("p",null,"Define o tempo total de simula\xe7\xe3o, em segundos."),Object(m.b)("h4",{id:"toler\xe2ncia-1"},"Toler\xe2ncia"),Object(m.b)("p",null,"Toler\xe2ncia do processo iterativo (em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},"."))))),") do m\xe9todo de integra\xe7\xe3o ",Object(m.b)("a",{parentName:"p",href:"stability#integra%C3%A7%C3%A3o-num%C3%A9rica"},"Trapezoidal Impl\xedcito"),"."),Object(m.b)("h4",{id:"itera\xe7\xf5es-m\xe1x-1"},"Itera\xe7\xf5es m\xe1x"),Object(m.b)("p",null,"N\xfamero m\xe1ximo de itera\xe7\xf5es do processo iterativo do m\xe9todo de integra\xe7\xe3o ",Object(m.b)("a",{parentName:"p",href:"stability#integra%C3%A7%C3%A3o-num%C3%A9rica"},"Trapezoidal Impl\xedcito"),". Caso o n\xfamero de itera\xe7\xf5es ultrapasse esse valor, o c\xe1lculo de estabilidade ser\xe1 encerrado com erro."),Object(m.b)("h4",{id:"raz\xe3o-de-passo-dos-controles"},"Raz\xe3o de passo dos controles"),Object(m.b)("p",null,"Define a quantidade passos de integra\xe7\xe3o que o sistema de controle ser\xe1 submetido para ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1")))))," passo de integra\xe7\xe3o do sistema de pot\xeancia."),Object(m.b)("p",null,"Por exemplo, se o passo de integra\xe7\xe3o for definido em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"01"),Object(m.b)("mtext",{parentName:"mrow"},"\xa0"),Object(m.b)("mi",{parentName:"mrow"},"s")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0{,}01~s")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"s")))))," e a raz\xe3o de passo como ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"10")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"10")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))))),", o valor efetivo do passo de integra\xe7\xe3o para os sistemas de controle ser\xe1 de ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"001"),Object(m.b)("mtext",{parentName:"mrow"},"\xa0"),Object(m.b)("mi",{parentName:"mrow"},"s")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0{,}001~s")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"s")))))," (10 vezes menor)."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"A utiliza\xe7\xe3o desse campo se justifica em situa\xe7\xf5es de grandes diferen\xe7as nas constantes de tempo das m\xe1quinas s\xedncronas (geralmente maiores) e dos sistemas de controle (geralmente menores)."))),Object(m.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Um valor de raz\xe3o de passo de controles igual a ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1")))))," n\xe3o ir\xe1 alterar o passo de integra\xe7\xe3o do sistema de controle."))),Object(m.b)("h4",{id:"tempo-de-impress\xe3o"},"Tempo de impress\xe3o"),Object(m.b)("p",null,"\xc9 o intervalo de tempo o qual o programa ir\xe1 armazenar os dados para impress\xe3o em ",Object(m.b)("a",{parentName:"p",href:"graphViewer"},"gr\xe1ficos no tempo"),"."),Object(m.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Valores muito pequenos (menores que ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"001"),Object(m.b)("mtext",{parentName:"mrow"},"\xa0"),Object(m.b)("mi",{parentName:"mrow"},"s")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0{,}001~s")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mspace nobreak"},"\xa0"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"s"))))),") podem aumentar significativamente o tempo de processamento do c\xe1lculo de estabilidade."),Object(m.b)("p",{parentName:"div"},"O tempo de impress\xe3o ",Object(m.b)("strong",{parentName:"p"},"deve ser maior ou igual")," ao passo de integra\xe7\xe3o.")))),Object(m.b)(c.a,{value:"zipLoad",mdxType:"TabItem"},Object(m.b)("h4",{id:"utilizar-composi\xe7\xe3o-geral-para-todas-as-cargas-do-sistema"},"Utilizar composi\xe7\xe3o geral para todas as cargas do sistema"),Object(m.b)("p",null,"Habilita a composi\xe7\xe3o da ",Object(m.b)("a",{parentName:"p",href:"load#carga-no-estudo-de-estabilidade"},"carga ZIP")," para todas as cargas que ",Object(m.b)("strong",{parentName:"p"},"n\xe3o")," possuem parametriza\xe7\xe3o individual."),Object(m.b)("h4",{id:"composi\xe7\xe3o-da-carga-pot\xeancias-ativa-e-reativa"},"Composi\xe7\xe3o da carga (pot\xeancias ativa e reativa)"),Object(m.b)("p",null,"Define a composi\xe7\xe3o, em porcentagem, das parcelas de Imped\xe2ncia, Corrente e Pot\xeancia constantes da carga. Essa composi\xe7\xe3o pode ser implementada individualmente para a pot\xeancia ativa e reativa."),Object(m.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"A soma das parcelas da carga ZIP para uma pot\xeancia deve ser 100%, caso contr\xe1rio ser\xe1 exibida uma mensagem de erro."))),Object(m.b)("h4",{id:"subtens\xe3o-a-qual-as-cargas-ser\xe3o-modeladas-como-imped\xe2ncia-constante"},"Subtens\xe3o a qual as cargas ser\xe3o modeladas como imped\xe2ncia constante"),Object(m.b)("p",null,"Define o valor percentual da tens\xe3o (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"l"),Object(m.b)("mi",{parentName:"mrow"},"o"),Object(m.b)("mi",{parentName:"mrow"},"w")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_{low}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02691em"}},"w"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),") que, para valores inferiores a esse, a carga passa a ser considerada como imped\xe2ncia constante pura."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Cargas de corrente e pot\xeancia constantes possuem problemas em tens\xf5es muito baixas. \xc0 medida que a tens\xe3o diminui as correntes dessas cargas n\xe3o reduz, resultando em perda de precis\xe3o e problemas na converg\xeancia de processos iterativos. Para contornar esse problema utiliza-se uma tens\xe3o pr\xe9-definida (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"V"),Object(m.b)("mrow",{parentName:"msub"},Object(m.b)("mi",{parentName:"mrow"},"l"),Object(m.b)("mi",{parentName:"mrow"},"o"),Object(m.b)("mi",{parentName:"mrow"},"w")))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V_{low}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}},"l"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"o"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.02691em"}},"w"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),"), a qual as cargas (ou parcelas) de corrente e pot\xeancia constantes s\xe3o modeladas como imped\xe2ncia constante."))))),Object(m.b)("hr",null))}N.isMDXComponent=!0},140:function(a,e,t){"use strict";t.d(e,"a",(function(){return l})),t.d(e,"b",(function(){return O}));var s=t(0),n=t.n(s);function m(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function p(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(a);e&&(s=s.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,s)}return t}function r(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?p(Object(t),!0).forEach((function(e){m(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):p(Object(t)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(t,e))}))}return a}function c(a,e){if(null==a)return{};var t,s,n=function(a,e){if(null==a)return{};var t,s,n={},m=Object.keys(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||(n[t]=a[t]);return n}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(s=0;s<m.length;s++)t=m[s],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(n[t]=a[t])}return n}var b=n.a.createContext({}),i=function(a){var e=n.a.useContext(b),t=e;return a&&(t="function"==typeof a?a(e):r(r({},e),a)),t},l=function(a){var e=i(a.components);return n.a.createElement(b.Provider,{value:e},a.children)},o={inlineCode:"code",wrapper:function(a){var e=a.children;return n.a.createElement(n.a.Fragment,{},e)}},N=n.a.forwardRef((function(a,e){var t=a.components,s=a.mdxType,m=a.originalType,p=a.parentName,b=c(a,["components","mdxType","originalType","parentName"]),l=i(t),N=s,O=l["".concat(p,".").concat(N)]||l[N]||o[N]||m;return t?n.a.createElement(O,r(r({ref:e},b),{},{components:t})):n.a.createElement(O,r({ref:e},b))}));function O(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var m=t.length,p=new Array(m);p[0]=N;var r={};for(var c in e)hasOwnProperty.call(e,c)&&(r[c]=e[c]);r.originalType=a,r.mdxType="string"==typeof a?a:s,p[1]=r;for(var b=2;b<m;b++)p[b]=t[b];return n.a.createElement.apply(null,p)}return n.a.createElement.apply(null,t)}N.displayName="MDXCreateElement"},141:function(a,e,t){"use strict";t.d(e,"b",(function(){return m})),t.d(e,"a",(function(){return p}));var s=t(16),n=t(142);function m(){const{siteConfig:{baseUrl:a="/",url:e}={}}=Object(s.default)();return{withBaseUrl:(t,s)=>function(a,e,t,{forcePrependBaseUrl:s=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(n.b)(t))return t;if(s)return e+t;const p=t.startsWith(e)?t:e+t.replace(/^\//,"");return m?a+p:p}(e,a,t,s)}}function p(a,e={}){const{withBaseUrl:t}=m();return t(a,e)}},142:function(a,e,t){"use strict";function s(a){return!0===/^(\w*:|\/\/)/.test(a)}function n(a){return void 0!==a&&!s(a)}t.d(e,"b",(function(){return s})),t.d(e,"a",(function(){return n}))},143:function(a,e,t){"use strict";function s(a){var e,t,n="";if("string"==typeof a||"number"==typeof a)n+=a;else if("object"==typeof a)if(Array.isArray(a))for(e=0;e<a.length;e++)a[e]&&(t=s(a[e]))&&(n&&(n+=" "),n+=t);else for(e in a)a[e]&&(n&&(n+=" "),n+=e);return n}e.a=function(){for(var a,e,t=0,n="";t<arguments.length;)(a=arguments[t++])&&(e=s(a))&&(n&&(n+=" "),n+=e);return n}},144:function(a,e,t){"use strict";var s=t(0),n=t(145);e.a=function(){const a=Object(s.useContext)(n.a);if(null==a)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return a}},145:function(a,e,t){"use strict";var s=t(0);const n=Object(s.createContext)(void 0);e.a=n},146:function(a,e,t){"use strict";var s=t(0),n=t.n(s),m=t(144),p=t(143),r=t(56),c=t.n(r);const b=37,i=39;e.a=function(a){const{lazy:e,block:t,defaultValue:r,values:l,groupId:o,className:N}=a,{tabGroupChoices:O,setTabGroupChoices:j}=Object(m.a)(),[d,h]=Object(s.useState)(r),u=s.Children.toArray(a.children),g=[];if(null!=o){const a=O[o];null!=a&&a!==d&&l.some((e=>e.value===a))&&h(a)}const v=a=>{const e=a.target,t=g.indexOf(e),s=u[t].props.value;h(s),null!=o&&(j(o,s),setTimeout((()=>{(function(a){const{top:e,left:t,bottom:s,right:n}=a.getBoundingClientRect(),{innerHeight:m,innerWidth:p}=window;return e>=0&&n<=p&&s<=m&&t>=0})(e)||(e.scrollIntoView({block:"center",behavior:"smooth"}),e.classList.add(c.a.tabItemActive),setTimeout((()=>e.classList.remove(c.a.tabItemActive)),2e3))}),150))},w=a=>{var e;let t;switch(a.keyCode){case i:const e=g.indexOf(a.target)+1;t=g[e]||g[0];break;case b:const s=g.indexOf(a.target)-1;t=g[s]||g[g.length-1]}null===(e=t)||void 0===e||e.focus()};return n.a.createElement("div",{className:"tabs-container"},n.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(p.a)("tabs",{"tabs--block":t},N)},l.map((({value:a,label:e})=>n.a.createElement("li",{role:"tab",tabIndex:d===a?0:-1,"aria-selected":d===a,className:Object(p.a)("tabs__item",c.a.tabItem,{"tabs__item--active":d===a}),key:a,ref:a=>g.push(a),onKeyDown:w,onFocus:v,onClick:v},e)))),e?Object(s.cloneElement)(u.filter((a=>a.props.value===d))[0],{className:"margin-vert--md"}):n.a.createElement("div",{className:"margin-vert--md"},u.map(((a,e)=>Object(s.cloneElement)(a,{key:e,hidden:a.props.value!==d})))))}},147:function(a,e,t){"use strict";var s=t(0),n=t.n(s);e.a=function({children:a,hidden:e,className:t}){return n.a.createElement("div",{role:"tabpanel",hidden:e,className:t},a)}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/fada0ee8.b2090879.js b/docs/assets/js/fada0ee8.b2090879.js
new file mode 100644
index 0000000..8c85fb9
--- /dev/null
+++ b/docs/assets/js/fada0ee8.b2090879.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[58],{132:function(e,a,t){"use strict";t.r(a),t.d(a,"frontMatter",(function(){return c})),t.d(a,"metadata",(function(){return b})),t.d(a,"toc",(function(){return p})),t.d(a,"default",(function(){return i}));var n=t(3),m=t(7),r=(t(0),t(140)),s=t(141),c=(t(146),t(147),{id:"text",title:"Texto Vinculado",sidebar_label:"Texto Vinculado"}),b={unversionedId:"text",id:"text",isDocsHomePage:!1,title:"Texto Vinculado",description:"O elemento de texto vinculado (ao elemento de pot\xeancia) pode ser inserido no editor de elementos de pot\xeancia. Esse elemento de texto pode ser vinculado a in\xfameros resultados e par\xe2metros do sistema de pot\xeancia.",source:"@site/docs/text.md",slug:"/text",permalink:"/PSP/docs/text",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/text.md",version:"current",sidebar_label:"Texto Vinculado",sidebar:"docs",previous:{title:"Configura\xe7\xf5es da Simula\xe7\xe3o",permalink:"/PSP/docs/simulationConfig"},next:{title:"Relat\xf3rios Tabulares",permalink:"/PSP/docs/tabularReport"}},p=[{value:"Inserindo elementos de texto no PSP-UFU",id:"inserindo-elementos-de-texto-no-psp-ufu",children:[]},{value:"Formul\xe1rio de edi\xe7\xe3o de dados do elemento de texto",id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-elemento-de-texto",children:[]}],o={toc:p};function i(e){var a=e.components,t=Object(m.a)(e,["components"]);return Object(r.b)("wrapper",Object(n.a)({},o,t,{components:a,mdxType:"MDXLayout"}),Object(r.b)("link",{rel:"stylesheet",href:Object(s.a)("katex/katex.min.css")}),Object(r.b)("p",null,"O elemento de texto vinculado (ao elemento de pot\xeancia) pode ser inserido no editor de ",Object(r.b)("a",{parentName:"p",href:"powerEditor"},"elementos de pot\xeancia"),". Esse elemento de texto pode ser vinculado a in\xfameros resultados e par\xe2metros do sistema de pot\xeancia."),Object(r.b)("p",null,"Esse elemento \xe9 \xfatil para identifica\xe7\xe3o e an\xe1lise dos resultados de elementos de pot\xeancia."),Object(r.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"Outra aplica\xe7\xe3o importante \xe9 a atualiza\xe7\xe3o de seu valor ao aplicar a \u201csolu\xe7\xe3o cont\xednua\u201d no projeto, auxiliando na visualiza\xe7\xe3o das mudan\xe7as de estado da rede el\xe9trica."),Object(r.b)("p",{parentName:"div"},"Tamb\xe9m pode-se utilizar os resultados apresentados por esses elementos juntamente com o diagrama unifilar na cria\xe7\xe3o de relat\xf3rios do projeto."))),Object(r.b)("div",null,Object(r.b)("center",null,Object(r.b)("img",{src:Object(s.a)("images/textExp.png"),alt:"Exemplo do elemento de texto no PSP-UFU",title:"Exemplo de elemento de texto no PSP-UFU"}))),Object(r.b)("h2",{id:"inserindo-elementos-de-texto-no-psp-ufu"},"Inserindo elementos de texto no PSP-UFU"),Object(r.b)("p",null,"Por meio do submenu ",Object(r.b)("strong",{parentName:"p"},"Ferramentas")," pode-se inserir os elementos de texto, como \xe9 apresentado na imagem abaixo."),Object(r.b)("div",null,Object(r.b)("center",null,Object(r.b)("img",{src:Object(s.a)("images/addTextElement.svg"),alt:"Adicionar elementos de texto",title:"Adicionar elementos de texto"}))),Object(r.b)("p",null,'Ao selecionar o bot\xe3o "Texto" ou utilizar a ',Object(r.b)("strong",{parentName:"p"},'tecla de atalho "A"'),", o usu\xe1rio deve clicar na posi\xe7\xe3o desejada da ",Object(r.b)("a",{parentName:"p",href:"powerEditor"},"\xe1rea de trabalho"),'. Com isso, ser\xe1 adicionado um elemento tempor\xe1rio com o valor "Texto". Para parametrizar esse elemento clique duas vezes sobre ele.'),Object(r.b)("div",{className:"admonition admonition-caution alert alert--warning"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"}))),"Aten\xe7\xe3o")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"O elemento de texto, assim como os ",Object(r.b)("a",{parentName:"p",href:"controlEditor"},"elementos de controle")," n\xe3o exibem automaticamente o formul\xe1rio de edi\xe7\xe3o de dados ao inseri-lo pela primeira vez."))),Object(r.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-elemento-de-texto"},"Formul\xe1rio de edi\xe7\xe3o de dados do elemento de texto"),Object(r.b)("p",null,"A figura abaixo apresenta o formul\xe1rio de edi\xe7\xe3o de dados desse componente gr\xe1fico."),Object(r.b)("div",null,Object(r.b)("center",null,Object(r.b)("img",{src:Object(s.a)("images/textForm.png"),alt:"Formul\xe1rio do elemento de texto no PSP-UFU",title:"Formul\xe1rio do elemento de texto no PSP-UFU"}))),Object(r.b)("p",null,"Sua parametriza\xe7\xe3o \xe9 realizada por campos que associam o componente aos elementos el\xe9tricos de pot\xeancia, al\xe9m do formato dos resultados num\xe9ricos. Os campos s\xe3o liberados a medida que os dados anteriores s\xe3o inseridos e uma mensagem de erro \xe9 apresentada ao usu\xe1rio caso algum par\xe2metro necess\xe1rio n\xe3o seja preenchido."),Object(r.b)("p",null,"O processo de associa\xe7\xe3o se inicia na escolha do tipo de elemento de pot\xeancia ser\xe1 vinculado ao texto. Em seguida \xe9 exibida uma lista com o nome de todos os componentes previamente inseridos no editor de elementos de pot\xeancia do tipo definido no campo anterior, associando, assim, o texto ao elemento."),Object(r.b)("p",null,"Em \u201cTipo de texto\u201d define-se qual ser\xe1 a sa\xedda apresentada. Tal campo depende do tipo de elemento selecionado, como mostra a tabela abaixo. Alguns outros dados s\xe3o necess\xe1rios para os elementos de ramo, como barra de origem e destino, com o intuito de representar o fluxo correto de pot\xeancia e corrente. Finalmente o usu\xe1rio deve inserir a quantidade de casas decimais para dados num\xe9ricos. A pr\xe9-visualiza\xe7\xe3o pode ser observada no formul\xe1rio."),Object(r.b)("table",null,Object(r.b)("thead",{parentName:"table"},Object(r.b)("tr",{parentName:"thead"},Object(r.b)("th",{parentName:"tr",align:"center"},"Elemento de pot\xeancia"),Object(r.b)("th",{parentName:"tr",align:null},"Tipo de texto"),Object(r.b)("th",{parentName:"tr",align:null},"Unidades dispon\xedveis"))),Object(r.b)("tbody",{parentName:"table"},Object(r.b)("tr",{parentName:"tbody"},Object(r.b)("td",{parentName:"tr",align:"center"},Object(r.b)("a",{parentName:"td",href:"bus"},"Barra")),Object(r.b)("td",{parentName:"tr",align:null},"Nome",Object(r.b)("br",null),"Tens\xe3o",Object(r.b)("br",null),"\xc2ngulo",Object(r.b)("br",null),"Corrente de falta",Object(r.b)("br",null),"Tens\xe3o de falta",Object(r.b)("br",null),"N\xedvel de curto-circuito",Object(r.b)("br",null),"THD de tens\xe3o"),Object(r.b)("td",{parentName:"tr",align:null},"-",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", V, kV",Object(r.b)("br",null),"Graus, Radianos",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", A, kA",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", V, kV",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", VA, kVA, MVA",Object(r.b)("br",null),"%")),Object(r.b)("tr",{parentName:"tbody"},Object(r.b)("td",{parentName:"tr",align:"center"},Object(r.b)("a",{parentName:"td",href:"syncGenerator"},"Gerador")),Object(r.b)("td",{parentName:"tr",align:null},"Nome",Object(r.b)("br",null),"Pot\xeancia ativa",Object(r.b)("br",null),"Pot\xeancia reativa",Object(r.b)("br",null),"Corrente de falta"),Object(r.b)("td",{parentName:"tr",align:null},"-",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", W, kW, MW",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", var, kvar, Mvar",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", A, kA")),Object(r.b)("tr",{parentName:"tbody"},Object(r.b)("td",{parentName:"tr",align:"center"},Object(r.b)("a",{parentName:"td",href:"line"},"Linha")," e ",Object(r.b)("a",{parentName:"td",href:"transformer"},"transformador")),Object(r.b)("td",{parentName:"tr",align:null},"Nome",Object(r.b)("br",null),"Fluxo de pot\xeancia ativo",Object(r.b)("br",null),"Fluxo de pot\xeancia reativo",Object(r.b)("br",null),"Perdas",Object(r.b)("br",null),"Corrente",Object(r.b)("br",null),"Corrente de falta"),Object(r.b)("td",{parentName:"tr",align:null},"-",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", W, kW, MW",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", var, kvar, Mvar",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", W, kW, MW",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", A, kA",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", A, kA")),Object(r.b)("tr",{parentName:"tbody"},Object(r.b)("td",{parentName:"tr",align:"center"},Object(r.b)("a",{parentName:"td",href:"load"},"Carga"),", ",Object(r.b)("a",{parentName:"td",href:"indMotor"},"Motor de indu\xe7\xe3o"),Object(r.b)("br",null),"e ",Object(r.b)("a",{parentName:"td",href:"syncMotor"},"Compensador s\xedncrono")),Object(r.b)("td",{parentName:"tr",align:null},"Nome",Object(r.b)("br",null),"Pot\xeancia ativa",Object(r.b)("br",null),"Pot\xeancia reativa"),Object(r.b)("td",{parentName:"tr",align:null},"-",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", W, kW, MW",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", var, kvar, Mvar")),Object(r.b)("tr",{parentName:"tbody"},Object(r.b)("td",{parentName:"tr",align:"center"},Object(r.b)("a",{parentName:"td",href:"capacitor"},"Capacitor")," e ",Object(r.b)("a",{parentName:"td",href:"inductor"},"Indutor")),Object(r.b)("td",{parentName:"tr",align:null},"Nome",Object(r.b)("br",null),"Pot\xeancia reativa"),Object(r.b)("td",{parentName:"tr",align:null},"-",Object(r.b)("br",null),Object(r.b)("span",{parentName:"td",className:"math math-inline"},Object(r.b)("span",{parentName:"span",className:"katex"},Object(r.b)("span",{parentName:"span",className:"katex-mathml"},Object(r.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(r.b)("semantics",{parentName:"math"},Object(r.b)("mrow",{parentName:"semantics"},Object(r.b)("mi",{parentName:"mrow"},"p"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(r.b)("mi",{parentName:"mrow"},"u"),Object(r.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(r.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(r.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(r.b)("span",{parentName:"span",className:"base"},Object(r.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(r.b)("span",{parentName:"span",className:"mord"},"."),Object(r.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(r.b)("span",{parentName:"span",className:"mord"},"."))))),", var, kvar, Mvar")))),Object(r.b)("div",{className:"admonition admonition-info alert alert--info"},Object(r.b)("div",{parentName:"div",className:"admonition-heading"},Object(r.b)("h5",{parentName:"div"},Object(r.b)("span",{parentName:"h5",className:"admonition-icon"},Object(r.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(r.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(r.b)("div",{parentName:"div",className:"admonition-content"},Object(r.b)("p",{parentName:"div"},"Uma vez inseridos, esses elementos de texto podem ser manipulados da ",Object(r.b)("a",{parentName:"p",href:"cadTools"},"mesma forma que os elementos de pot\xeancia"),"."))))}i.isMDXComponent=!0},140:function(e,a,t){"use strict";t.d(a,"a",(function(){return i})),t.d(a,"b",(function(){return N}));var n=t(0),m=t.n(n);function r(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function s(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);a&&(n=n.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,n)}return t}function c(e){for(var a=1;a<arguments.length;a++){var t=null!=arguments[a]?arguments[a]:{};a%2?s(Object(t),!0).forEach((function(a){r(e,a,t[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):s(Object(t)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(t,a))}))}return e}function b(e,a){if(null==e)return{};var t,n,m=function(e,a){if(null==e)return{};var t,n,m={},r=Object.keys(e);for(n=0;n<r.length;n++)t=r[n],a.indexOf(t)>=0||(m[t]=e[t]);return m}(e,a);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);for(n=0;n<r.length;n++)t=r[n],a.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(m[t]=e[t])}return m}var p=m.a.createContext({}),o=function(e){var a=m.a.useContext(p),t=a;return e&&(t="function"==typeof e?e(a):c(c({},a),e)),t},i=function(e){var a=o(e.components);return m.a.createElement(p.Provider,{value:a},e.children)},l={inlineCode:"code",wrapper:function(e){var a=e.children;return m.a.createElement(m.a.Fragment,{},a)}},d=m.a.forwardRef((function(e,a){var t=e.components,n=e.mdxType,r=e.originalType,s=e.parentName,p=b(e,["components","mdxType","originalType","parentName"]),i=o(t),d=n,N=i["".concat(s,".").concat(d)]||i[d]||l[d]||r;return t?m.a.createElement(N,c(c({ref:a},p),{},{components:t})):m.a.createElement(N,c({ref:a},p))}));function N(e,a){var t=arguments,n=a&&a.mdxType;if("string"==typeof e||n){var r=t.length,s=new Array(r);s[0]=d;var c={};for(var b in a)hasOwnProperty.call(a,b)&&(c[b]=a[b]);c.originalType=e,c.mdxType="string"==typeof e?e:n,s[1]=c;for(var p=2;p<r;p++)s[p]=t[p];return m.a.createElement.apply(null,s)}return m.a.createElement.apply(null,t)}d.displayName="MDXCreateElement"},141:function(e,a,t){"use strict";t.d(a,"b",(function(){return r})),t.d(a,"a",(function(){return s}));var n=t(16),m=t(142);function r(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(n.default)();return{withBaseUrl:(t,n)=>function(e,a,t,{forcePrependBaseUrl:n=!1,absolute:r=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(m.b)(t))return t;if(n)return a+t;const s=t.startsWith(a)?t:a+t.replace(/^\//,"");return r?e+s:s}(a,e,t,n)}}function s(e,a={}){const{withBaseUrl:t}=r();return t(e,a)}},142:function(e,a,t){"use strict";function n(e){return!0===/^(\w*:|\/\/)/.test(e)}function m(e){return void 0!==e&&!n(e)}t.d(a,"b",(function(){return n})),t.d(a,"a",(function(){return m}))},143:function(e,a,t){"use strict";function n(e){var a,t,m="";if("string"==typeof e||"number"==typeof e)m+=e;else if("object"==typeof e)if(Array.isArray(e))for(a=0;a<e.length;a++)e[a]&&(t=n(e[a]))&&(m&&(m+=" "),m+=t);else for(a in e)e[a]&&(m&&(m+=" "),m+=a);return m}a.a=function(){for(var e,a,t=0,m="";t<arguments.length;)(e=arguments[t++])&&(a=n(e))&&(m&&(m+=" "),m+=a);return m}},144:function(e,a,t){"use strict";var n=t(0),m=t(145);a.a=function(){const e=Object(n.useContext)(m.a);if(null==e)throw new Error("`useUserPreferencesContext` is used outside of `Layout` Component.");return e}},145:function(e,a,t){"use strict";var n=t(0);const m=Object(n.createContext)(void 0);a.a=m},146:function(e,a,t){"use strict";var n=t(0),m=t.n(n),r=t(144),s=t(143),c=t(56),b=t.n(c);const p=37,o=39;a.a=function(e){const{lazy:a,block:t,defaultValue:c,values:i,groupId:l,className:d}=e,{tabGroupChoices:N,setTabGroupChoices:O}=Object(r.a)(),[j,u]=Object(n.useState)(c),h=n.Children.toArray(e.children),v=[];if(null!=l){const e=N[l];null!=e&&e!==j&&i.some((a=>a.value===e))&&u(e)}const w=e=>{const a=e.target,t=v.indexOf(a),n=h[t].props.value;u(n),null!=l&&(O(l,n),setTimeout((()=>{(function(e){const{top:a,left:t,bottom:n,right:m}=e.getBoundingClientRect(),{innerHeight:r,innerWidth:s}=window;return a>=0&&m<=s&&n<=r&&t>=0})(a)||(a.scrollIntoView({block:"center",behavior:"smooth"}),a.classList.add(b.a.tabItemActive),setTimeout((()=>a.classList.remove(b.a.tabItemActive)),2e3))}),150))},f=e=>{var a;let t;switch(e.keyCode){case o:const a=v.indexOf(e.target)+1;t=v[a]||v[0];break;case p:const n=v.indexOf(e.target)-1;t=v[n]||v[v.length-1]}null===(a=t)||void 0===a||a.focus()};return m.a.createElement("div",{className:"tabs-container"},m.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(s.a)("tabs",{"tabs--block":t},d)},i.map((({value:e,label:a})=>m.a.createElement("li",{role:"tab",tabIndex:j===e?0:-1,"aria-selected":j===e,className:Object(s.a)("tabs__item",b.a.tabItem,{"tabs__item--active":j===e}),key:e,ref:e=>v.push(e),onKeyDown:f,onFocus:w,onClick:w},a)))),a?Object(n.cloneElement)(h.filter((e=>e.props.value===j))[0],{className:"margin-vert--md"}):m.a.createElement("div",{className:"margin-vert--md"},h.map(((e,a)=>Object(n.cloneElement)(e,{key:a,hidden:e.props.value!==j})))))}},147:function(e,a,t){"use strict";var n=t(0),m=t.n(n);a.a=function({children:e,hidden:a,className:t}){return m.a.createElement("div",{role:"tabpanel",hidden:a,className:t},e)}}}]);
\ No newline at end of file
diff --git a/docs/assets/js/fae3e67f.d94c7e0c.js b/docs/assets/js/fae3e67f.d94c7e0c.js
new file mode 100644
index 0000000..7c871f9
--- /dev/null
+++ b/docs/assets/js/fae3e67f.d94c7e0c.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[59],{133:function(e,a,t){"use strict";t.r(a),t.d(a,"frontMatter",(function(){return b})),t.d(a,"metadata",(function(){return r})),t.d(a,"toc",(function(){return c})),t.d(a,"default",(function(){return i}));var n=t(3),s=t(7),m=(t(0),t(140)),p=t(141),b={id:"mathExpression",title:"Express\xe3o Matem\xe1tica",sidebar_label:"Express\xe3o Matem\xe1tica"},r={unversionedId:"mathExpression",id:"mathExpression",isDocsHomePage:!1,title:"Express\xe3o Matem\xe1tica",description:"O bloco de express\xe3o matem\xe1tica utiliza a biblioteca externa fparser e permite ao usu\xe1rio inserir express\xf5es matem\xe1ticas gen\xe9ricas de qualquer complexidade combinadas a estruturas condicionais em um diagrama de controle, aumentando significativamente a capacidade de generaliza\xe7\xe3o do programa.",source:"@site/docs/mathExpression.md",slug:"/mathExpression",permalink:"/PSP/docs/mathExpression",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/mathExpression.md",version:"current",sidebar_label:"Express\xe3o Matem\xe1tica",sidebar:"docs",previous:{title:"Ganho",permalink:"/PSP/docs/gain"},next:{title:"Fluxo de Pot\xeancia",permalink:"/PSP/docs/powerFlow"}},c=[{value:"Sintaxe das express\xf5es matem\xe1ticas",id:"sintaxe-das-express\xf5es-matem\xe1ticas",children:[]},{value:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco de Express\xe3o Matem\xe1tica",id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-bloco-de-express\xe3o-matem\xe1tica",children:[]},{value:"Exemplo de Express\xe3o Matem\xe1tica",id:"exemplo-de-express\xe3o-matem\xe1tica",children:[]},{value:"Refer\xeancias",id:"refer\xeancias",children:[]}],l={toc:c};function i(e){var a=e.components,t=Object(s.a)(e,["components"]);return Object(m.b)("wrapper",Object(n.a)({},l,t,{components:a,mdxType:"MDXLayout"}),Object(m.b)("link",{rel:"stylesheet",href:Object(p.a)("katex/katex.min.css")}),Object(m.b)("p",null,"O bloco de express\xe3o matem\xe1tica utiliza a biblioteca externa ",Object(m.b)("a",{parentName:"p",href:"http://warp.povusers.org/FunctionParser/"},"fparser")," e permite ao usu\xe1rio inserir express\xf5es matem\xe1ticas gen\xe9ricas de qualquer complexidade combinadas a estruturas condicionais em um diagrama de controle, aumentando significativamente a capacidade de generaliza\xe7\xe3o do programa."),Object(m.b)("h2",{id:"sintaxe-das-express\xf5es-matem\xe1ticas"},"Sintaxe das express\xf5es matem\xe1ticas"),Object(m.b)("p",null,"As sintaxes das opera\xe7\xf5es (para express\xf5es ",Object(m.b)("inlineCode",{parentName:"p"},"A")," e ",Object(m.b)("inlineCode",{parentName:"p"},"B"),") s\xe3o apresentadas na tabela abaixo:"),Object(m.b)("table",null,Object(m.b)("thead",{parentName:"table"},Object(m.b)("tr",{parentName:"thead"},Object(m.b)("th",{parentName:"tr",align:null},"Operador"),Object(m.b)("th",{parentName:"tr",align:null},"Express\xe3o"))),Object(m.b)("tbody",{parentName:"table"},Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"( )")),Object(m.b)("td",{parentName:"tr",align:null},"Express\xe3o em par\xeanteses primeiro")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"A unit")),Object(m.b)("td",{parentName:"tr",align:null},"Um multiplicador de unidade (se um estiver sido adicionado)")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"A^B")),Object(m.b)("td",{parentName:"tr",align:null},"Exponencia\xe7\xe3o (",Object(m.b)("inlineCode",{parentName:"td"},"A")," elevado \xe0 pot\xeancia ",Object(m.b)("inlineCode",{parentName:"td"},"B"),")")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"-A")),Object(m.b)("td",{parentName:"tr",align:null},"Opera\xe7\xe3o un\xe1ria de oposto")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"!A")),Object(m.b)("td",{parentName:"tr",align:null},"Opera\xe7\xe3o l\xf3gica un\xe1ria de nega\xe7\xe3o (resulta em ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1")))))," se ",Object(m.b)("inlineCode",{parentName:"td"},"int(A)")," \xe9 ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))))),", sen\xe3o ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))))),")")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"A*B")," ",Object(m.b)("inlineCode",{parentName:"td"},"A/B")," ",Object(m.b)("inlineCode",{parentName:"td"},"A%B")),Object(m.b)("td",{parentName:"tr",align:null},"Multiplica\xe7\xe3o, divis\xe3o e m\xf3dulo")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"A+B")," ",Object(m.b)("inlineCode",{parentName:"td"},"A-B")),Object(m.b)("td",{parentName:"tr",align:null},"Adi\xe7\xe3o e subtra\xe7\xe3o")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"A=B")," ",Object(m.b)("inlineCode",{parentName:"td"},"A<B")," ",Object(m.b)("inlineCode",{parentName:"td"},"A<=B")," ",Object(m.b)("inlineCode",{parentName:"td"},"A!=B")," ",Object(m.b)("inlineCode",{parentName:"td"},"A>B")," ",Object(m.b)("inlineCode",{parentName:"td"},"A>=B")),Object(m.b)("td",{parentName:"tr",align:null},"Compara\xe7\xe3o entre ",Object(m.b)("inlineCode",{parentName:"td"},"A")," e ",Object(m.b)("inlineCode",{parentName:"td"},"B")," (resulta em ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1")))))," ou ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))))),")")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"A&B")),Object(m.b)("td",{parentName:"tr",align:null},"Resulta em ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1")))))," se ",Object(m.b)("inlineCode",{parentName:"td"},"int(A)")," e ",Object(m.b)("inlineCode",{parentName:"td"},"int(B)")," forem diferentes de ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))))),", sen\xe3o ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))))))),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"A"),"|",Object(m.b)("inlineCode",{parentName:"td"},"B")),Object(m.b)("td",{parentName:"tr",align:null},"Resulta em ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"1")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1")))))," se ",Object(m.b)("inlineCode",{parentName:"td"},"int(A)")," ou ",Object(m.b)("inlineCode",{parentName:"td"},"int(B)")," forem diferentes de ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))))),", sen\xe3o ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))))))))),Object(m.b)("p",null,"As ",Object(m.b)("strong",{parentName:"p"},"fun\xe7\xf5es matem\xe1ticas")," suportadas pela biblioteca, as quais podem ser utilizadas na constru\xe7\xe3o de diagrama de blocos, s\xe3o descritas na tabela abaixo:"),Object(m.b)("table",null,Object(m.b)("thead",{parentName:"table"},Object(m.b)("tr",{parentName:"thead"},Object(m.b)("th",{parentName:"tr",align:null},"Express\xe3o"),Object(m.b)("th",{parentName:"tr",align:null},"Descri\xe7\xe3o"))),Object(m.b)("tbody",{parentName:"table"},Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"abs(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Valor absoluto de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Para n\xfameros reais, se ",Object(m.b)("inlineCode",{parentName:"td"},"A")," \xe9 negativo, retorna ",Object(m.b)("inlineCode",{parentName:"td"},"\u2013A"),", sen\xe3o retorna ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Para n\xfameros complexos a express\xe3o \xe9 equivalente a ",Object(m.b)("inlineCode",{parentName:"td"},"hypot(real(x),imag(x))"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"acos(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Arco cosseno de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Retorna o \xe2ngulo em radianos.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"acosh(A)")),Object(m.b)("td",{parentName:"tr",align:null},"O mesmo que ",Object(m.b)("inlineCode",{parentName:"td"},"acos()")," mas para cosseno hiperb\xf3lico")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"arg(A)")),Object(m.b)("td",{parentName:"tr",align:null},"\xc2ngulo de fase de um n\xfamero complexo ",Object(m.b)("inlineCode",{parentName:"td"},"A"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"asin(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Arco seno de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Retorna o \xe2ngulo em radianos.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"asinh(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Mesmo que ",Object(m.b)("inlineCode",{parentName:"td"},"asin()"),", mas para seno hiperb\xf3lico")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"atan(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Arco tangente de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Retorna o \xe2ngulo em radianos.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"atan2(A,B)")),Object(m.b)("td",{parentName:"tr",align:null},"Arco tangente de ",Object(m.b)("inlineCode",{parentName:"td"},"A/B"),", a qual os sinais dos dois argumentos para determinar o quadrante do resultado. Retorna a solu\xe7\xe3o de do seguinte sistema: ",Object(m.b)("inlineCode",{parentName:"td"},"hypot(A,B)*sin(x)=A, hypot(A,B)*cos(x)=B"),". O valor retornado varia de ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mo",{parentName:"mrow"},"\u2212"),Object(m.b)("mi",{parentName:"mrow"},"\u03c0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"-\\pi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.66666em",verticalAlign:"-0.08333em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"\u2212"),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c0")))))," a ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"\u03c0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\pi")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.03588em"}},"\u03c0"))))),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"atanh(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Mesmo que ",Object(m.b)("inlineCode",{parentName:"td"},"atan()"),", mas para tangente hiperb\xf3lica.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"cbrt(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Raiz c\xfabica de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"conj(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Conjugado complexo de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"ceil(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Teto de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Arredonda para o pr\xf3ximo maior inteiro.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"cos(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Cosseno de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Retorna o \xe2ngulo em radianos.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"cosh(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Mesmo que ",Object(m.b)("inlineCode",{parentName:"td"},"cos()"),", mas para cosseno hiperb\xf3lico")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"cot(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Cotangente de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Retorna o \xe2ngulo em radianos.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"csc(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Cossecante de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Retorna o \xe2ngulo em radianos.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"exp(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Exponencial de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Retorna o valor de e elevado a pot\xeancia A.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"exp2(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Exponencial de ",Object(m.b)("inlineCode",{parentName:"td"},"A")," na base ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"2")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"2"))))),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"floor(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Piso de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Arredonda para o pr\xf3ximo menor inteiro.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"hypot(A,B)")),Object(m.b)("td",{parentName:"tr",align:null},"Fun\xe7\xe3o de dist\xe2ncia Euclidiana.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"if(A,B,C)")),Object(m.b)("td",{parentName:"tr",align:null},"Se ",Object(m.b)("inlineCode",{parentName:"td"},"int(A)")," \xe9 diferente de ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"0")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"0")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"0"))))),", retorna o valor de ",Object(m.b)("inlineCode",{parentName:"td"},"B"),", sen\xe3o retorna ",Object(m.b)("inlineCode",{parentName:"td"},"C"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"imag(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Retorna a parte imagin\xe1ria do n\xfamero complexo ",Object(m.b)("inlineCode",{parentName:"td"},"A"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"int(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Arredonda ",Object(m.b)("inlineCode",{parentName:"td"},"A")," para o inteiro mais pr\xf3ximo.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"log(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Logaritmo natural (base ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"e")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"e"))))),") de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"log2(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Logaritmo na base ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"2")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"2")))))," de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"log10(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Logaritmo na base ",Object(m.b)("span",{parentName:"td",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mn",{parentName:"mrow"},"10")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"10")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},"0")))))," de A.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"max(A,B)")),Object(m.b)("td",{parentName:"tr",align:null},"Se ",Object(m.b)("inlineCode",{parentName:"td"},"A>B"),", o resultado \xe9 ",Object(m.b)("inlineCode",{parentName:"td"},"A"),", sen\xe3o \xe9 ",Object(m.b)("inlineCode",{parentName:"td"},"B"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"min(A,B)")),Object(m.b)("td",{parentName:"tr",align:null},"Se ",Object(m.b)("inlineCode",{parentName:"td"},"A<B"),", o resultado \xe9 ",Object(m.b)("inlineCode",{parentName:"td"},"A"),", sen\xe3o \xe9 ",Object(m.b)("inlineCode",{parentName:"td"},"B"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"polar(A,B)")),Object(m.b)("td",{parentName:"tr",align:null},"Retorna o n\xfamero complexo de magnitude ",Object(m.b)("inlineCode",{parentName:"td"},"A")," e \xe2ngulo de fase ",Object(m.b)("inlineCode",{parentName:"td"},"B")," (em radianos).")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"pow(A,B)")),Object(m.b)("td",{parentName:"tr",align:null},"Exponencia\xe7\xe3o (",Object(m.b)("inlineCode",{parentName:"td"},"A")," elevado \xe0 pot\xeancia ",Object(m.b)("inlineCode",{parentName:"td"},"B"),")")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"real(A,B)")),Object(m.b)("td",{parentName:"tr",align:null},"Retorna a parte real do n\xfamero complexo ",Object(m.b)("inlineCode",{parentName:"td"},"A"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"sec(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Secante de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"sin(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Seno de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Retorna o \xe2ngulo em radianos.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"sinh(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Mesmo que ",Object(m.b)("inlineCode",{parentName:"td"},"sin()"),", mas para seno hiperb\xf3lico.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"sqrt(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Raiz quadrada de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),".")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"tan(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Tangente de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Retorna o \xe2ngulo em radianos.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"tanh(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Mesmo que ",Object(m.b)("inlineCode",{parentName:"td"},"tan()"),", mas para tangente hiperb\xf3lica.")),Object(m.b)("tr",{parentName:"tbody"},Object(m.b)("td",{parentName:"tr",align:null},Object(m.b)("inlineCode",{parentName:"td"},"trunc(A)")),Object(m.b)("td",{parentName:"tr",align:null},"Valor truncado de ",Object(m.b)("inlineCode",{parentName:"td"},"A"),". Retorna o n\xfamero inteiro de ",Object(m.b)("inlineCode",{parentName:"td"},"A")," sem a parcela fracionada.")))),Object(m.b)("p",null,"\xc9 poss\xedvel atribuir novas vari\xe1veis utilizando a seguinte sintaxe: "),Object(m.b)("pre",null,Object(m.b)("code",{parentName:"pre",className:"language-cpp"},"<nome da vari\xe1vel> := <express\xe3o>; <fun\xe7\xe3o>\n")),Object(m.b)("p",null,"Por exemplo:"),Object(m.b)("pre",null,Object(m.b)("code",{parentName:"pre",className:"language-cpp"},"comprimento := sqrt(x*x+y*y); 2*comprimento*sin(comprimento)\n")),Object(m.b)("div",{className:"admonition admonition-tip alert alert--success"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"}))),"Dica")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"O caractere de espa\xe7o e de nova linha s\xe3o ignorados na interpreta\xe7\xe3o da express\xe3o, portanto para maior organiza\xe7\xe3o, o c\xf3digo anterior pode ser escrito da seguinte forma:"),Object(m.b)("pre",{parentName:"div"},Object(m.b)("code",{parentName:"pre",className:"language-cpp"},"comprimento := sqrt(x*x+y*y);\n2*comprimento*sin(comprimento)\n")))),Object(m.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M5.05.31c.81 2.17.41 3.38-.52 4.31C3.55 5.67 1.98 6.45.9 7.98c-1.45 2.05-1.7 6.53 3.53 7.7-2.2-1.16-2.67-4.52-.3-6.61-.61 2.03.53 3.33 1.94 2.86 1.39-.47 2.3.53 2.27 1.67-.02.78-.31 1.44-1.13 1.81 3.42-.59 4.78-3.42 4.78-5.56 0-2.84-2.53-3.22-1.25-5.61-1.52.13-2.03 1.13-1.89 2.75.09 1.08-1.02 1.8-1.86 1.33-.67-.41-.66-1.19-.06-1.78C8.18 5.31 8.68 2.45 5.05.32L5.03.3l.02.01z"}))),"Cuidado!")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Note que a express\xe3o que determina o valor de sa\xedda do bloco ",Object(m.b)("strong",{parentName:"p"},"n\xe3o possui")," o caractere ",Object(m.b)("inlineCode",{parentName:"p"},";")," em seu final."))),Object(m.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-bloco-de-express\xe3o-matem\xe1tica"},"Formul\xe1rio de edi\xe7\xe3o de dados do bloco de Express\xe3o Matem\xe1tica"),Object(m.b)("p",null,"O formul\xe1rio de inser\xe7\xe3o e edi\xe7\xe3o das entradas do bloco e da express\xe3o matem\xe1tica gen\xe9rica, assim como ferramentas de aux\xedlio de sua constru\xe7\xe3o \xe9 apresentado na figura abaixo."),Object(m.b)("div",null,Object(m.b)("center",null,Object(m.b)("img",{src:Object(p.a)("images/mathExpressionForm.png"),alt:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco de express\xe3o matem\xe1tica no PSP-UFU",title:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco de express\xe3o matem\xe1tica no PSP-UFU"}))),Object(m.b)("p",null,"No campo de \u201cVari\xe1veis de entrada\u201d \xe9 inserida uma lista com os nomes das entradas separados por espa\xe7os. Um n\xfamero qualquer de entrada pode ser definido nessa lista esses nomes s\xe3o apresentados no \xedcone gr\xe1fico presente no editor de controle, al\xe9m de serem destacados na express\xe3o inserida pelo usu\xe1rio. O n\xfamero de entradas e sa\xeddas se comporta de forma semelhante aos ",Object(m.b)("a",{parentName:"p",href:"sum"},"blocos somadores"),"."),Object(m.b)("p",null,"Abaixo do campo das vari\xe1veis de entrada est\xe1 presente o local para inser\xe7\xe3o da express\xe3o matem\xe1tica. A sintaxe da express\xe3o inserida pelo usu\xe1rio possui realce (por meio de diferentes formas e cores da fonte) para n\xfameros, operadores, vari\xe1veis de entrada, fun\xe7\xf5es e constantes, facilitando a cria\xe7\xe3o, manipula\xe7\xe3o e identifica\xe7\xe3o de erros de digita\xe7\xe3o e l\xf3gica."),Object(m.b)("div",{className:"admonition admonition-info alert alert--info"},Object(m.b)("div",{parentName:"div",className:"admonition-heading"},Object(m.b)("h5",{parentName:"div"},Object(m.b)("span",{parentName:"h5",className:"admonition-icon"},Object(m.b)("svg",{parentName:"span",xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"},Object(m.b)("path",{parentName:"svg",fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"}))),"Informa\xe7\xe3o")),Object(m.b)("div",{parentName:"div",className:"admonition-content"},Object(m.b)("p",{parentName:"div"},"Como ferramenta de aux\xedlio ao usu\xe1rio foi desenvolvida uma verifica\xe7\xe3o da express\xe3o inserida."))),Object(m.b)("p",null,"Tal ferramenta ir\xe1 encontrar erros e indicar\xe1 ao usu\xe1rio qual o tipo do erro, al\xe9m da sua localiza\xe7\xe3o, destacando-o. A figura anterior exemplifica a identifica\xe7\xe3o autom\xe1tica do erro pelo PSP-UFU, assim como sua posi\xe7\xe3o na express\xe3o inserida."),Object(m.b)("h2",{id:"exemplo-de-express\xe3o-matem\xe1tica"},"Exemplo de Express\xe3o Matem\xe1tica"),Object(m.b)("p",null,"A corrente de campo em ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"p"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},"."),Object(m.b)("mi",{parentName:"mrow"},"u"),Object(m.b)("mi",{parentName:"mrow",mathvariant:"normal"},".")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"p.u.")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"p"),Object(m.b)("span",{parentName:"span",className:"mord"},"."),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"u"),Object(m.b)("span",{parentName:"span",className:"mord"},".")))))," pode ser estimada de forma aproximada utilizando as pot\xeancias ativa (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"P")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"))))),") e reativa (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"Q")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"))))),"), assim como as reat\xe2ncias transit\xf3rias de eixo direto (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"d"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_d")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),") e em quadratura (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"q"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_q")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.716668em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))))),") e o m\xf3dulo da tens\xe3o terminal (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"V")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))))),") da m\xe1quina:"),Object(m.b)("div",{className:"math math-display"},Object(m.b)("span",{parentName:"div",className:"katex-display"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"i"),Object(m.b)("mi",{parentName:"msub"},"f")),Object(m.b)("mo",{parentName:"mrow"},"\u2248"),Object(m.b)("msqrt",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"msqrt"},Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("mi",{parentName:"mrow"},"V"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"Q"),Object(m.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(m.b)("mn",{parentName:"msup"},"2")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"P"),Object(m.b)("mn",{parentName:"msup"},"2")))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"d")),Object(m.b)("msub",{parentName:"mfrac"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"q"))),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("mn",{parentName:"mrow"},"1"),Object(m.b)("mo",{parentName:"mrow",separator:"true",lspace:"0em",rspace:"0em"},","),Object(m.b)("mn",{parentName:"mrow"},"0"),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(m.b)("mo",{parentName:"mrow"},"\xd7"),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"mfrac"},Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"Q"),Object(m.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(m.b)("mrow",{parentName:"mrow"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("mi",{parentName:"mrow"},"V"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"Q"),Object(m.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("msup",{parentName:"msup"},Object(m.b)("mi",{parentName:"msup"},"P"),Object(m.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(m.b)("mn",{parentName:"msup"},"2"))),Object(m.b)("msqrt",{parentName:"mfrac"},Object(m.b)("mrow",{parentName:"msqrt"},Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mrow",{parentName:"msup"},Object(m.b)("mo",{parentName:"mrow",fence:"true"},"("),Object(m.b)("mi",{parentName:"mrow"},"V"),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"Q"),Object(m.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(m.b)("mo",{parentName:"mrow",fence:"true"},")")),Object(m.b)("mn",{parentName:"msup"},"2")),Object(m.b)("mo",{parentName:"mrow"},"+"),Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"P"),Object(m.b)("mn",{parentName:"msup"},"2")))))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"i_f \\approx \\sqrt{ \\left( V + Q' \\right)^2 + P^2} + \\left(\\frac{x_d}{x_q} +1{,}0 \\right) \\times \\frac{Q' \\left( V + Q' \\right) + {P'}^2}{\\sqrt{\\left( V + Q'\\right)^2 + P^2}}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.9456279999999999em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"i"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.3361079999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}},"f")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"\u2248"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.84em",verticalAlign:"-0.454121em"}}),Object(m.b)("span",{parentName:"span",className:"mord sqrt"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.385879em"}},Object(m.b)("span",{parentName:"span",className:"svg-align",style:{top:"-3.8em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.8em"}}),Object(m.b)("span",{parentName:"span",className:"mord",style:{paddingLeft:"1em"}},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.6778919999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.9890000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.954008em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.2029em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.740108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.9890000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.345879em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.8em"}}),Object(m.b)("span",{parentName:"span",className:"hide-tail",style:{minWidth:"1.02em",height:"1.8800000000000001em"}},Object(m.b)("svg",{parentName:"span",width:"400em",height:"1.8800000000000001em",viewBox:"0 0 400000 1944",preserveAspectRatio:"xMinYMin slice"},Object(m.b)("path",{parentName:"svg",d:"M983 90\nl0 -0\nc4,-6.7,10,-10,18,-10 H400000v40\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM1001 80h400000v40h-400000z"}))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.454121em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"2.4221079999999997em",verticalAlign:"-0.972108em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},"(")),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.1075599999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.314em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.677em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"}))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.972108em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},"1"),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mpunct"},",")),Object(m.b)("span",{parentName:"span",className:"mord"},"0"),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},Object(m.b)("span",{parentName:"span",className:"delimsizing size3"},")"))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\xd7"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"3.3629em",verticalAlign:"-1.73em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.6329em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.1100000000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.3370040000000003em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord sqrt"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.337004em"}},Object(m.b)("span",{parentName:"span",className:"svg-align",style:{top:"-3.8em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.8em"}}),Object(m.b)("span",{parentName:"span",className:"mord",style:{paddingLeft:"1em"}},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.6778919999999999em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.9890000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.954008em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.2029em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.740108em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.9890000000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2")))))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.297004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.8em"}}),Object(m.b)("span",{parentName:"span",className:"hide-tail",style:{minWidth:"1.02em",height:"1.8800000000000001em"}},Object(m.b)("svg",{parentName:"span",width:"400em",height:"1.8800000000000001em",viewBox:"0 0 400000 1944",preserveAspectRatio:"xMinYMin slice"},Object(m.b)("path",{parentName:"svg",d:"M983 90\nl0 -0\nc4,-6.7,10,-10,18,-10 H400000v40\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM1001 80h400000v40h-400000z"}))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.502996em"}},Object(m.b)("span",{parentName:"span"}))))))),Object(m.b)("span",{parentName:"span",style:{top:"-3.5670040000000003em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.3370040000000003em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-4.014004em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3.3370040000000003em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.16666666666666666em"}}),Object(m.b)("span",{parentName:"span",className:"minner"},Object(m.b)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(m.b)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"+"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032")))))))))),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.9559em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.2047920000000003em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"2"))))))))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"1.73em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("p",null,"Em que:"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"P"),Object(m.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"q")),Object(m.b)("mo",{parentName:"mrow"},"\xd7"),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("mi",{parentName:"mfrac"},"P"),Object(m.b)("mi",{parentName:"mfrac"},"V"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P' = x_q \\times \\frac{P}{V}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.751892em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8694379999999999em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\xd7"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.217331em",verticalAlign:"-0.345em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.872331em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.22222em"}},"V")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.394em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.13889em"}},"P"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),Object(m.b)("li",{parentName:"ul"},Object(m.b)("span",{parentName:"li",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"Q"),Object(m.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032")),Object(m.b)("mo",{parentName:"mrow"},"="),Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"q")),Object(m.b)("mo",{parentName:"mrow"},"\xd7"),Object(m.b)("mfrac",{parentName:"mrow"},Object(m.b)("mi",{parentName:"mfrac"},"Q"),Object(m.b)("mi",{parentName:"mfrac"},"V"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q' = x_q \\times \\frac{Q}{V}")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.946332em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032"))))))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}}),Object(m.b)("span",{parentName:"span",className:"mrel"},"="),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8694379999999999em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}}),Object(m.b)("span",{parentName:"span",className:"mbin"},"\xd7"),Object(m.b)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"1.269439em",verticalAlign:"-0.345em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mopen nulldelimiter"}),Object(m.b)("span",{parentName:"span",className:"mfrac"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.924439em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.6550000000000002em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.22222em"}},"V")))),Object(m.b)("span",{parentName:"span",style:{top:"-3.23em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"frac-line",style:{borderBottomWidth:"0.04em"}})),Object(m.b)("span",{parentName:"span",style:{top:"-3.446108em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"Q"))))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.345em"}},Object(m.b)("span",{parentName:"span"}))))),Object(m.b)("span",{parentName:"span",className:"mclose nulldelimiter"})))))))),Object(m.b)("p",null,'Primeiramente, deve-se inserir no campo "vari\xe1veis de entrada" as grandezas fornecidas pelo PSP-UFU. Nesse caso, como pode ser observado no bloco de ',Object(m.b)("a",{parentName:"p",href:"io"},"entrada / sa\xedda"),", todas as vari\xe1veis necess\xe1rias s\xe3o fornecidas: ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"P")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"))))),", ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"Q")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.8777699999999999em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q")))))," e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("mi",{parentName:"mrow"},"V")),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"V")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.68333em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.22222em"}},"V"))))),". Essas vari\xe1veis devem ser inseridas separadas por espa\xe7o: ",Object(m.b)("inlineCode",{parentName:"p"},"p q v"),"."),Object(m.b)("p",null,"Utilizando tr\xeas blocos de ",Object(m.b)("a",{parentName:"p",href:"io"},"entrada / sa\xedda")," pode-se fornecer tais dados ao conect\xe1-los ao bloco de express\xe3o matem\xe1tica."),Object(m.b)("p",null,"As reat\xe2ncias transit\xf3rias de eixo direto (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"d"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_d")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.33610799999999996em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight"},"d")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15em"}},Object(m.b)("span",{parentName:"span"})))))))))),") e em quadratura (",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msub",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msub"},"x"),Object(m.b)("mi",{parentName:"msub"},"q"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"x_q")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.716668em",verticalAlign:"-0.286108em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"x"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t vlist-t2"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.15139200000000003em"}},Object(m.b)("span",{parentName:"span",style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}},"q")))),Object(m.b)("span",{parentName:"span",className:"vlist-s"},"\u200b")),Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.286108em"}},Object(m.b)("span",{parentName:"span"})))))))))),") podem ser definidas diretamente na express\xe3o matem\xe1tica:"),Object(m.b)("pre",null,Object(m.b)("code",{parentName:"pre",className:"language-cpp"},"xd := 0.146;\nxq := 0.0969;\n")),Object(m.b)("p",null,"Os valores de ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"P"),Object(m.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"P'")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.751892em",verticalAlign:"0em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault",style:{marginRight:"0.13889em"}},"P"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032")))))))))))))," e ",Object(m.b)("span",{parentName:"p",className:"math math-inline"},Object(m.b)("span",{parentName:"span",className:"katex"},Object(m.b)("span",{parentName:"span",className:"katex-mathml"},Object(m.b)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},Object(m.b)("semantics",{parentName:"math"},Object(m.b)("mrow",{parentName:"semantics"},Object(m.b)("msup",{parentName:"mrow"},Object(m.b)("mi",{parentName:"msup"},"Q"),Object(m.b)("mo",{parentName:"msup",mathvariant:"normal",lspace:"0em",rspace:"0em"},"\u2032"))),Object(m.b)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"Q'")))),Object(m.b)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},Object(m.b)("span",{parentName:"span",className:"base"},Object(m.b)("span",{parentName:"span",className:"strut",style:{height:"0.946332em",verticalAlign:"-0.19444em"}}),Object(m.b)("span",{parentName:"span",className:"mord"},Object(m.b)("span",{parentName:"span",className:"mord mathdefault"},"Q"),Object(m.b)("span",{parentName:"span",className:"msupsub"},Object(m.b)("span",{parentName:"span",className:"vlist-t"},Object(m.b)("span",{parentName:"span",className:"vlist-r"},Object(m.b)("span",{parentName:"span",className:"vlist",style:{height:"0.751892em"}},Object(m.b)("span",{parentName:"span",style:{top:"-3.063em",marginRight:"0.05em"}},Object(m.b)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),Object(m.b)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},Object(m.b)("span",{parentName:"span",className:"mord mtight"},"\u2032")))))))))))))," podem ser tamb\xe9m calculados:"),Object(m.b)("pre",null,Object(m.b)("code",{parentName:"pre",className:"language-cpp"},"yp := xq * p / v;\nyq := xq * q / v;\n")),Object(m.b)("p",null,"Com todos os dados necess\xe1rios pode-se calcular a corrente de campo:"),Object(m.b)("pre",null,Object(m.b)("code",{parentName:"pre",className:"language-cpp"},"i_f := sqrt((v + yq)^2 + p^2) + (xd / xq + 1.0) *\n       ((yq * (v + yq) + yp^2) / sqrt((v + yq)^2 + p^2));\n")),Object(m.b)("p",null,"Finalmente, pode-se definir a sa\xedda do bloco (n\xe3o inserindo ",Object(m.b)("inlineCode",{parentName:"p"},";"),"):"),Object(m.b)("pre",null,Object(m.b)("code",{parentName:"pre",className:"language-cpp"},"i_f\n")),Object(m.b)("p",null,"Portanto, para as entradas definidas como ",Object(m.b)("inlineCode",{parentName:"p"},"p q v"),", a express\xe3o matem\xe1tica total para c\xe1lculo da corrente de campo ser\xe1:"),Object(m.b)("pre",null,Object(m.b)("code",{parentName:"pre",className:"language-cpp"},"xd := 0.146;\nxq := 0.0969;\nyp := xq * p / v;\nyq := xq * q / v;\ni_f := sqrt((v + yq)^2 + p^2) + (xd / xq + 1.0) *\n       ((yq * (v + yq) + yp^2) / sqrt((v + yq)^2 + p^2));\ni_f\n")),Object(m.b)("h2",{id:"refer\xeancias"},"Refer\xeancias"),Object(m.b)("ul",null,Object(m.b)("li",{parentName:"ul"},"NIEMINEN, J.; YLILUOMA, J. Function Parser for C++ v4.5.2. Dispon\xedvel em: ",Object(m.b)("a",{parentName:"li",href:"http://warp.povusers.org/FunctionParser/"},"http://warp.povusers.org/FunctionParser/"),". ")))}i.isMDXComponent=!0},140:function(e,a,t){"use strict";t.d(a,"a",(function(){return i})),t.d(a,"b",(function(){return O}));var n=t(0),s=t.n(n);function m(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function p(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);a&&(n=n.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,n)}return t}function b(e){for(var a=1;a<arguments.length;a++){var t=null!=arguments[a]?arguments[a]:{};a%2?p(Object(t),!0).forEach((function(a){m(e,a,t[a])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):p(Object(t)).forEach((function(a){Object.defineProperty(e,a,Object.getOwnPropertyDescriptor(t,a))}))}return e}function r(e,a){if(null==e)return{};var t,n,s=function(e,a){if(null==e)return{};var t,n,s={},m=Object.keys(e);for(n=0;n<m.length;n++)t=m[n],a.indexOf(t)>=0||(s[t]=e[t]);return s}(e,a);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(e);for(n=0;n<m.length;n++)t=m[n],a.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(s[t]=e[t])}return s}var c=s.a.createContext({}),l=function(e){var a=s.a.useContext(c),t=a;return e&&(t="function"==typeof e?e(a):b(b({},a),e)),t},i=function(e){var a=l(e.components);return s.a.createElement(c.Provider,{value:a},e.children)},N={inlineCode:"code",wrapper:function(e){var a=e.children;return s.a.createElement(s.a.Fragment,{},a)}},o=s.a.forwardRef((function(e,a){var t=e.components,n=e.mdxType,m=e.originalType,p=e.parentName,c=r(e,["components","mdxType","originalType","parentName"]),i=l(t),o=n,O=i["".concat(p,".").concat(o)]||i[o]||N[o]||m;return t?s.a.createElement(O,b(b({ref:a},c),{},{components:t})):s.a.createElement(O,b({ref:a},c))}));function O(e,a){var t=arguments,n=a&&a.mdxType;if("string"==typeof e||n){var m=t.length,p=new Array(m);p[0]=o;var b={};for(var r in a)hasOwnProperty.call(a,r)&&(b[r]=a[r]);b.originalType=e,b.mdxType="string"==typeof e?e:n,p[1]=b;for(var c=2;c<m;c++)p[c]=t[c];return s.a.createElement.apply(null,p)}return s.a.createElement.apply(null,t)}o.displayName="MDXCreateElement"},141:function(e,a,t){"use strict";t.d(a,"b",(function(){return m})),t.d(a,"a",(function(){return p}));var n=t(16),s=t(142);function m(){const{siteConfig:{baseUrl:e="/",url:a}={}}=Object(n.default)();return{withBaseUrl:(t,n)=>function(e,a,t,{forcePrependBaseUrl:n=!1,absolute:m=!1}={}){if(!t)return t;if(t.startsWith("#"))return t;if(Object(s.b)(t))return t;if(n)return a+t;const p=t.startsWith(a)?t:a+t.replace(/^\//,"");return m?e+p:p}(a,e,t,n)}}function p(e,a={}){const{withBaseUrl:t}=m();return t(e,a)}},142:function(e,a,t){"use strict";function n(e){return!0===/^(\w*:|\/\/)/.test(e)}function s(e){return void 0!==e&&!n(e)}t.d(a,"b",(function(){return n})),t.d(a,"a",(function(){return s}))}}]);
\ No newline at end of file
diff --git a/docs/assets/js/ff0ce105.2dcc6cd2.js b/docs/assets/js/ff0ce105.2dcc6cd2.js
new file mode 100644
index 0000000..c175626
--- /dev/null
+++ b/docs/assets/js/ff0ce105.2dcc6cd2.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[60],{134:function(e,t,r){"use strict";r.r(t),r.d(t,"frontMatter",(function(){return c})),r.d(t,"metadata",(function(){return i})),r.d(t,"toc",(function(){return u})),r.d(t,"default",(function(){return p}));var n=r(3),a=r(7),o=(r(0),r(140)),c={title:"2020w28a-beta",author:"Thales",author_title:"PhD",author_url:"https://github.com/thales1330",author_image_url:"https://avatars0.githubusercontent.com/u/16141330?s=460&v=4",tags:["psp-ufu"]},i={permalink:"/PSP/blog/2020/07/09/2020w28a-beta",editUrl:"https://github.com/Thales1330/PSP/tree/master/docs/blog/2020-07-09-2020w28a-beta.md",source:"@site/blog/2020-07-09-2020w28a-beta.md",description:"- \ud83d\udd25 Voltage heatmap implemented (OpenGL enabled);",date:"2020-07-09T00:00:00.000Z",formattedDate:"July 8, 2020",tags:[{label:"psp-ufu",permalink:"/PSP/blog/tags/psp-ufu"}],title:"2020w28a-beta",readingTime:.07,truncated:!1,prevItem:{title:"2020w31a-beta",permalink:"/PSP/blog/2020/08/01/2020w31a-beta"},nextItem:{title:"2020w24a-beta",permalink:"/PSP/blog/2020/06/13/2020w24a-beta"}},u=[],l={toc:u};function p(e){var t=e.components,r=Object(a.a)(e,["components"]);return Object(o.b)("wrapper",Object(n.a)({},l,r,{components:t,mdxType:"MDXLayout"}),Object(o.b)("ul",null,Object(o.b)("li",{parentName:"ul"},"\ud83d\udd25 Voltage heatmap implemented (OpenGL enabled);"),Object(o.b)("li",{parentName:"ul"},"\ud83d\udc1b Several major and minor bugfixes.")))}p.isMDXComponent=!0},140:function(e,t,r){"use strict";r.d(t,"a",(function(){return b})),r.d(t,"b",(function(){return s}));var n=r(0),a=r.n(n);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function c(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function i(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?c(Object(r),!0).forEach((function(t){o(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):c(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}function u(e,t){if(null==e)return{};var r,n,a=function(e,t){if(null==e)return{};var r,n,a={},o=Object.keys(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||(a[r]=e[r]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(n=0;n<o.length;n++)r=o[n],t.indexOf(r)>=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(a[r]=e[r])}return a}var l=a.a.createContext({}),p=function(e){var t=a.a.useContext(l),r=t;return e&&(r="function"==typeof e?e(t):i(i({},t),e)),r},b=function(e){var t=p(e.components);return a.a.createElement(l.Provider,{value:t},e.children)},m={inlineCode:"code",wrapper:function(e){var t=e.children;return a.a.createElement(a.a.Fragment,{},t)}},f=a.a.forwardRef((function(e,t){var r=e.components,n=e.mdxType,o=e.originalType,c=e.parentName,l=u(e,["components","mdxType","originalType","parentName"]),b=p(r),f=n,s=b["".concat(c,".").concat(f)]||b[f]||m[f]||o;return r?a.a.createElement(s,i(i({ref:t},l),{},{components:r})):a.a.createElement(s,i({ref:t},l))}));function s(e,t){var r=arguments,n=t&&t.mdxType;if("string"==typeof e||n){var o=r.length,c=new Array(o);c[0]=f;var i={};for(var u in t)hasOwnProperty.call(t,u)&&(i[u]=t[u]);i.originalType=e,i.mdxType="string"==typeof e?e:n,c[1]=i;for(var l=2;l<o;l++)c[l]=r[l];return a.a.createElement.apply(null,c)}return a.a.createElement.apply(null,r)}f.displayName="MDXCreateElement"}}]);
\ No newline at end of file
diff --git a/docs/assets/js/main.d208036b.js b/docs/assets/js/main.d208036b.js
new file mode 100644
index 0000000..bba5875
--- /dev/null
+++ b/docs/assets/js/main.d208036b.js
@@ -0,0 +1,2 @@
+/*! For license information please see main.d208036b.js.LICENSE.txt */
+(window.webpackJsonp=window.webpackJsonp||[]).push([[61],[function(e,t,n){"use strict";e.exports=n(39)},function(e,t,n){e.exports=n(43)()},function(e,t,n){"use strict";n.d(t,"a",(function(){return y})),n.d(t,"b",(function(){return w})),n.d(t,"c",(function(){return P})),n.d(t,"d",(function(){return O})),n.d(t,"e",(function(){return b})),n.d(t,"f",(function(){return I})),n.d(t,"g",(function(){return D})),n.d(t,"h",(function(){return g})),n.d(t,"i",(function(){return E})),n.d(t,"j",(function(){return C})),n.d(t,"k",(function(){return M})),n.d(t,"l",(function(){return B})),n.d(t,"m",(function(){return U})),n.d(t,"n",(function(){return z})),n.d(t,"o",(function(){return j}));var r=n(5),o=n(0),a=n.n(o),i=(n(1),n(6)),l=n(21),u=n(4),s=n(3),c=n(22),d=n.n(c),f=(n(30),n(7)),p=n(34),m=n.n(p),h=function(e){var t=Object(l.a)();return t.displayName=e,t}("Router-History"),g=function(e){var t=Object(l.a)();return t.displayName=e,t}("Router"),b=function(e){function t(t){var n;return(n=e.call(this,t)||this).state={location:t.history.location},n._isMounted=!1,n._pendingLocation=null,t.staticContext||(n.unlisten=t.history.listen((function(e){n._isMounted?n.setState({location:e}):n._pendingLocation=e}))),n}Object(r.a)(t,e),t.computeRootMatch=function(e){return{path:"/",url:"/",params:{},isExact:"/"===e}};var n=t.prototype;return n.componentDidMount=function(){this._isMounted=!0,this._pendingLocation&&this.setState({location:this._pendingLocation})},n.componentWillUnmount=function(){this.unlisten&&this.unlisten()},n.render=function(){return a.a.createElement(g.Provider,{value:{history:this.props.history,location:this.state.location,match:t.computeRootMatch(this.state.location.pathname),staticContext:this.props.staticContext}},a.a.createElement(h.Provider,{children:this.props.children||null,value:this.props.history}))},t}(a.a.Component);var y=function(e){function t(){for(var t,n=arguments.length,r=new Array(n),o=0;o<n;o++)r[o]=arguments[o];return(t=e.call.apply(e,[this].concat(r))||this).history=Object(i.d)(t.props),t}return Object(r.a)(t,e),t.prototype.render=function(){return a.a.createElement(b,{history:this.history,children:this.props.children})},t}(a.a.Component);var v=function(e){function t(){return e.apply(this,arguments)||this}Object(r.a)(t,e);var n=t.prototype;return n.componentDidMount=function(){this.props.onMount&&this.props.onMount.call(this,this)},n.componentDidUpdate=function(e){this.props.onUpdate&&this.props.onUpdate.call(this,this,e)},n.componentWillUnmount=function(){this.props.onUnmount&&this.props.onUnmount.call(this,this)},n.render=function(){return null},t}(a.a.Component);function w(e){var t=e.message,n=e.when,r=void 0===n||n;return a.a.createElement(g.Consumer,null,(function(e){if(e||Object(u.a)(!1),!r||e.staticContext)return null;var n=e.history.block;return a.a.createElement(v,{onMount:function(e){e.release=n(t)},onUpdate:function(e,r){r.message!==t&&(e.release(),e.release=n(t))},onUnmount:function(e){e.release()},message:t})}))}var S={},k=0;function E(e,t){return void 0===e&&(e="/"),void 0===t&&(t={}),"/"===e?e:function(e){if(S[e])return S[e];var t=d.a.compile(e);return k<1e4&&(S[e]=t,k++),t}(e)(t,{pretty:!0})}function P(e){var t=e.computedMatch,n=e.to,r=e.push,o=void 0!==r&&r;return a.a.createElement(g.Consumer,null,(function(e){e||Object(u.a)(!1);var r=e.history,l=e.staticContext,c=o?r.push:r.replace,d=Object(i.c)(t?"string"==typeof n?E(n,t.params):Object(s.a)({},n,{pathname:E(n.pathname,t.params)}):n);return l?(c(d),null):a.a.createElement(v,{onMount:function(){c(d)},onUpdate:function(e,t){var n=Object(i.c)(t.to);Object(i.f)(n,Object(s.a)({},d,{key:n.key}))||c(d)},to:n})}))}var T={},x=0;function C(e,t){void 0===t&&(t={}),("string"==typeof t||Array.isArray(t))&&(t={path:t});var n=t,r=n.path,o=n.exact,a=void 0!==o&&o,i=n.strict,l=void 0!==i&&i,u=n.sensitive,s=void 0!==u&&u;return[].concat(r).reduce((function(t,n){if(!n&&""!==n)return null;if(t)return t;var r=function(e,t){var n=""+t.end+t.strict+t.sensitive,r=T[n]||(T[n]={});if(r[e])return r[e];var o=[],a={regexp:d()(e,o,t),keys:o};return x<1e4&&(r[e]=a,x++),a}(n,{end:a,strict:l,sensitive:s}),o=r.regexp,i=r.keys,u=o.exec(e);if(!u)return null;var c=u[0],f=u.slice(1),p=e===c;return a&&!p?null:{path:n,url:"/"===n&&""===c?"/":c,isExact:p,params:i.reduce((function(e,t,n){return e[t.name]=f[n],e}),{})}}),null)}var O=function(e){function t(){return e.apply(this,arguments)||this}return Object(r.a)(t,e),t.prototype.render=function(){var e=this;return a.a.createElement(g.Consumer,null,(function(t){t||Object(u.a)(!1);var n=e.props.location||t.location,r=e.props.computedMatch?e.props.computedMatch:e.props.path?C(n.pathname,e.props):t.match,o=Object(s.a)({},t,{location:n,match:r}),i=e.props,l=i.children,c=i.component,d=i.render;return Array.isArray(l)&&0===l.length&&(l=null),a.a.createElement(g.Provider,{value:o},o.match?l?"function"==typeof l?l(o):l:c?a.a.createElement(c,o):d?d(o):null:"function"==typeof l?l(o):null)}))},t}(a.a.Component);function _(e){return"/"===e.charAt(0)?e:"/"+e}function A(e,t){if(!e)return t;var n=_(e);return 0!==t.pathname.indexOf(n)?t:Object(s.a)({},t,{pathname:t.pathname.substr(n.length)})}function R(e){return"string"==typeof e?e:Object(i.e)(e)}function N(e){return function(){Object(u.a)(!1)}}function L(){}var I=function(e){function t(){for(var t,n=arguments.length,r=new Array(n),o=0;o<n;o++)r[o]=arguments[o];return(t=e.call.apply(e,[this].concat(r))||this).handlePush=function(e){return t.navigateTo(e,"PUSH")},t.handleReplace=function(e){return t.navigateTo(e,"REPLACE")},t.handleListen=function(){return L},t.handleBlock=function(){return L},t}Object(r.a)(t,e);var n=t.prototype;return n.navigateTo=function(e,t){var n=this.props,r=n.basename,o=void 0===r?"":r,a=n.context,l=void 0===a?{}:a;l.action=t,l.location=function(e,t){return e?Object(s.a)({},t,{pathname:_(e)+t.pathname}):t}(o,Object(i.c)(e)),l.url=R(l.location)},n.render=function(){var e=this.props,t=e.basename,n=void 0===t?"":t,r=e.context,o=void 0===r?{}:r,l=e.location,u=void 0===l?"/":l,c=Object(f.a)(e,["basename","context","location"]),d={createHref:function(e){return _(n+R(e))},action:"POP",location:A(n,Object(i.c)(u)),push:this.handlePush,replace:this.handleReplace,go:N(),goBack:N(),goForward:N(),listen:this.handleListen,block:this.handleBlock};return a.a.createElement(b,Object(s.a)({},c,{history:d,staticContext:o}))},t}(a.a.Component);var D=function(e){function t(){return e.apply(this,arguments)||this}return Object(r.a)(t,e),t.prototype.render=function(){var e=this;return a.a.createElement(g.Consumer,null,(function(t){t||Object(u.a)(!1);var n,r,o=e.props.location||t.location;return a.a.Children.forEach(e.props.children,(function(e){if(null==r&&a.a.isValidElement(e)){n=e;var i=e.props.path||e.props.from;r=i?C(o.pathname,Object(s.a)({},e.props,{path:i})):t.match}})),r?a.a.cloneElement(n,{location:o,computedMatch:r}):null}))},t}(a.a.Component);function j(e){var t="withRouter("+(e.displayName||e.name)+")",n=function(t){var n=t.wrappedComponentRef,r=Object(f.a)(t,["wrappedComponentRef"]);return a.a.createElement(g.Consumer,null,(function(t){return t||Object(u.a)(!1),a.a.createElement(e,Object(s.a)({},r,t,{ref:n}))}))};return n.displayName=t,n.WrappedComponent=e,m()(n,e)}var F=a.a.useContext;function M(){return F(h)}function B(){return F(g).location}function U(){var e=F(g).match;return e?e.params:{}}function z(e){var t=B(),n=F(g).match;return e?C(t.pathname,e):n}},function(e,t,n){"use strict";function r(){return(r=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var n=arguments[t];for(var r in n)Object.prototype.hasOwnProperty.call(n,r)&&(e[r]=n[r])}return e}).apply(this,arguments)}n.d(t,"a",(function(){return r}))},function(e,t,n){"use strict";var r="Invariant failed";t.a=function(e,t){if(!e)throw new Error(r)}},function(e,t,n){"use strict";function r(e,t){return(r=Object.setPrototypeOf||function(e,t){return e.__proto__=t,e})(e,t)}function o(e,t){e.prototype=Object.create(t.prototype),e.prototype.constructor=e,r(e,t)}n.d(t,"a",(function(){return o}))},function(e,t,n){"use strict";n.d(t,"a",(function(){return E})),n.d(t,"b",(function(){return _})),n.d(t,"d",(function(){return R})),n.d(t,"c",(function(){return h})),n.d(t,"f",(function(){return g})),n.d(t,"e",(function(){return m}));var r=n(3);function o(e){return"/"===e.charAt(0)}function a(e,t){for(var n=t,r=n+1,o=e.length;r<o;n+=1,r+=1)e[n]=e[r];e.pop()}var i=function(e,t){void 0===t&&(t="");var n,r=e&&e.split("/")||[],i=t&&t.split("/")||[],l=e&&o(e),u=t&&o(t),s=l||u;if(e&&o(e)?i=r:r.length&&(i.pop(),i=i.concat(r)),!i.length)return"/";if(i.length){var c=i[i.length-1];n="."===c||".."===c||""===c}else n=!1;for(var d=0,f=i.length;f>=0;f--){var p=i[f];"."===p?a(i,f):".."===p?(a(i,f),d++):d&&(a(i,f),d--)}if(!s)for(;d--;d)i.unshift("..");!s||""===i[0]||i[0]&&o(i[0])||i.unshift("");var m=i.join("/");return n&&"/"!==m.substr(-1)&&(m+="/"),m};function l(e){return e.valueOf?e.valueOf():Object.prototype.valueOf.call(e)}var u=function e(t,n){if(t===n)return!0;if(null==t||null==n)return!1;if(Array.isArray(t))return Array.isArray(n)&&t.length===n.length&&t.every((function(t,r){return e(t,n[r])}));if("object"==typeof t||"object"==typeof n){var r=l(t),o=l(n);return r!==t||o!==n?e(r,o):Object.keys(Object.assign({},t,n)).every((function(r){return e(t[r],n[r])}))}return!1},s=n(4);function c(e){return"/"===e.charAt(0)?e:"/"+e}function d(e){return"/"===e.charAt(0)?e.substr(1):e}function f(e,t){return function(e,t){return 0===e.toLowerCase().indexOf(t.toLowerCase())&&-1!=="/?#".indexOf(e.charAt(t.length))}(e,t)?e.substr(t.length):e}function p(e){return"/"===e.charAt(e.length-1)?e.slice(0,-1):e}function m(e){var t=e.pathname,n=e.search,r=e.hash,o=t||"/";return n&&"?"!==n&&(o+="?"===n.charAt(0)?n:"?"+n),r&&"#"!==r&&(o+="#"===r.charAt(0)?r:"#"+r),o}function h(e,t,n,o){var a;"string"==typeof e?(a=function(e){var t=e||"/",n="",r="",o=t.indexOf("#");-1!==o&&(r=t.substr(o),t=t.substr(0,o));var a=t.indexOf("?");return-1!==a&&(n=t.substr(a),t=t.substr(0,a)),{pathname:t,search:"?"===n?"":n,hash:"#"===r?"":r}}(e)).state=t:(void 0===(a=Object(r.a)({},e)).pathname&&(a.pathname=""),a.search?"?"!==a.search.charAt(0)&&(a.search="?"+a.search):a.search="",a.hash?"#"!==a.hash.charAt(0)&&(a.hash="#"+a.hash):a.hash="",void 0!==t&&void 0===a.state&&(a.state=t));try{a.pathname=decodeURI(a.pathname)}catch(l){throw l instanceof URIError?new URIError('Pathname "'+a.pathname+'" could not be decoded. This is likely caused by an invalid percent-encoding.'):l}return n&&(a.key=n),o?a.pathname?"/"!==a.pathname.charAt(0)&&(a.pathname=i(a.pathname,o.pathname)):a.pathname=o.pathname:a.pathname||(a.pathname="/"),a}function g(e,t){return e.pathname===t.pathname&&e.search===t.search&&e.hash===t.hash&&e.key===t.key&&u(e.state,t.state)}function b(){var e=null;var t=[];return{setPrompt:function(t){return e=t,function(){e===t&&(e=null)}},confirmTransitionTo:function(t,n,r,o){if(null!=e){var a="function"==typeof e?e(t,n):e;"string"==typeof a?"function"==typeof r?r(a,o):o(!0):o(!1!==a)}else o(!0)},appendListener:function(e){var n=!0;function r(){n&&e.apply(void 0,arguments)}return t.push(r),function(){n=!1,t=t.filter((function(e){return e!==r}))}},notifyListeners:function(){for(var e=arguments.length,n=new Array(e),r=0;r<e;r++)n[r]=arguments[r];t.forEach((function(e){return e.apply(void 0,n)}))}}}var y=!("undefined"==typeof window||!window.document||!window.document.createElement);function v(e,t){t(window.confirm(e))}var w="popstate",S="hashchange";function k(){try{return window.history.state||{}}catch(e){return{}}}function E(e){void 0===e&&(e={}),y||Object(s.a)(!1);var t,n=window.history,o=(-1===(t=window.navigator.userAgent).indexOf("Android 2.")&&-1===t.indexOf("Android 4.0")||-1===t.indexOf("Mobile Safari")||-1!==t.indexOf("Chrome")||-1!==t.indexOf("Windows Phone"))&&window.history&&"pushState"in window.history,a=!(-1===window.navigator.userAgent.indexOf("Trident")),i=e,l=i.forceRefresh,u=void 0!==l&&l,d=i.getUserConfirmation,g=void 0===d?v:d,E=i.keyLength,P=void 0===E?6:E,T=e.basename?p(c(e.basename)):"";function x(e){var t=e||{},n=t.key,r=t.state,o=window.location,a=o.pathname+o.search+o.hash;return T&&(a=f(a,T)),h(a,r,n)}function C(){return Math.random().toString(36).substr(2,P)}var O=b();function _(e){Object(r.a)(z,e),z.length=n.length,O.notifyListeners(z.location,z.action)}function A(e){(function(e){return void 0===e.state&&-1===navigator.userAgent.indexOf("CriOS")})(e)||L(x(e.state))}function R(){L(x(k()))}var N=!1;function L(e){if(N)N=!1,_();else{O.confirmTransitionTo(e,"POP",g,(function(t){t?_({action:"POP",location:e}):function(e){var t=z.location,n=D.indexOf(t.key);-1===n&&(n=0);var r=D.indexOf(e.key);-1===r&&(r=0);var o=n-r;o&&(N=!0,F(o))}(e)}))}}var I=x(k()),D=[I.key];function j(e){return T+m(e)}function F(e){n.go(e)}var M=0;function B(e){1===(M+=e)&&1===e?(window.addEventListener(w,A),a&&window.addEventListener(S,R)):0===M&&(window.removeEventListener(w,A),a&&window.removeEventListener(S,R))}var U=!1;var z={length:n.length,action:"POP",location:I,createHref:j,push:function(e,t){var r="PUSH",a=h(e,t,C(),z.location);O.confirmTransitionTo(a,r,g,(function(e){if(e){var t=j(a),i=a.key,l=a.state;if(o)if(n.pushState({key:i,state:l},null,t),u)window.location.href=t;else{var s=D.indexOf(z.location.key),c=D.slice(0,s+1);c.push(a.key),D=c,_({action:r,location:a})}else window.location.href=t}}))},replace:function(e,t){var r="REPLACE",a=h(e,t,C(),z.location);O.confirmTransitionTo(a,r,g,(function(e){if(e){var t=j(a),i=a.key,l=a.state;if(o)if(n.replaceState({key:i,state:l},null,t),u)window.location.replace(t);else{var s=D.indexOf(z.location.key);-1!==s&&(D[s]=a.key),_({action:r,location:a})}else window.location.replace(t)}}))},go:F,goBack:function(){F(-1)},goForward:function(){F(1)},block:function(e){void 0===e&&(e=!1);var t=O.setPrompt(e);return U||(B(1),U=!0),function(){return U&&(U=!1,B(-1)),t()}},listen:function(e){var t=O.appendListener(e);return B(1),function(){B(-1),t()}}};return z}var P="hashchange",T={hashbang:{encodePath:function(e){return"!"===e.charAt(0)?e:"!/"+d(e)},decodePath:function(e){return"!"===e.charAt(0)?e.substr(1):e}},noslash:{encodePath:d,decodePath:c},slash:{encodePath:c,decodePath:c}};function x(e){var t=e.indexOf("#");return-1===t?e:e.slice(0,t)}function C(){var e=window.location.href,t=e.indexOf("#");return-1===t?"":e.substring(t+1)}function O(e){window.location.replace(x(window.location.href)+"#"+e)}function _(e){void 0===e&&(e={}),y||Object(s.a)(!1);var t=window.history,n=(window.navigator.userAgent.indexOf("Firefox"),e),o=n.getUserConfirmation,a=void 0===o?v:o,i=n.hashType,l=void 0===i?"slash":i,u=e.basename?p(c(e.basename)):"",d=T[l],g=d.encodePath,w=d.decodePath;function S(){var e=w(C());return u&&(e=f(e,u)),h(e)}var k=b();function E(e){Object(r.a)(U,e),U.length=t.length,k.notifyListeners(U.location,U.action)}var _=!1,A=null;function R(){var e,t,n=C(),r=g(n);if(n!==r)O(r);else{var o=S(),i=U.location;if(!_&&(t=o,(e=i).pathname===t.pathname&&e.search===t.search&&e.hash===t.hash))return;if(A===m(o))return;A=null,function(e){if(_)_=!1,E();else{var t="POP";k.confirmTransitionTo(e,t,a,(function(n){n?E({action:t,location:e}):function(e){var t=U.location,n=D.lastIndexOf(m(t));-1===n&&(n=0);var r=D.lastIndexOf(m(e));-1===r&&(r=0);var o=n-r;o&&(_=!0,j(o))}(e)}))}}(o)}}var N=C(),L=g(N);N!==L&&O(L);var I=S(),D=[m(I)];function j(e){t.go(e)}var F=0;function M(e){1===(F+=e)&&1===e?window.addEventListener(P,R):0===F&&window.removeEventListener(P,R)}var B=!1;var U={length:t.length,action:"POP",location:I,createHref:function(e){var t=document.querySelector("base"),n="";return t&&t.getAttribute("href")&&(n=x(window.location.href)),n+"#"+g(u+m(e))},push:function(e,t){var n="PUSH",r=h(e,void 0,void 0,U.location);k.confirmTransitionTo(r,n,a,(function(e){if(e){var t=m(r),o=g(u+t);if(C()!==o){A=t,function(e){window.location.hash=e}(o);var a=D.lastIndexOf(m(U.location)),i=D.slice(0,a+1);i.push(t),D=i,E({action:n,location:r})}else E()}}))},replace:function(e,t){var n="REPLACE",r=h(e,void 0,void 0,U.location);k.confirmTransitionTo(r,n,a,(function(e){if(e){var t=m(r),o=g(u+t);C()!==o&&(A=t,O(o));var a=D.indexOf(m(U.location));-1!==a&&(D[a]=t),E({action:n,location:r})}}))},go:j,goBack:function(){j(-1)},goForward:function(){j(1)},block:function(e){void 0===e&&(e=!1);var t=k.setPrompt(e);return B||(M(1),B=!0),function(){return B&&(B=!1,M(-1)),t()}},listen:function(e){var t=k.appendListener(e);return M(1),function(){M(-1),t()}}};return U}function A(e,t,n){return Math.min(Math.max(e,t),n)}function R(e){void 0===e&&(e={});var t=e,n=t.getUserConfirmation,o=t.initialEntries,a=void 0===o?["/"]:o,i=t.initialIndex,l=void 0===i?0:i,u=t.keyLength,s=void 0===u?6:u,c=b();function d(e){Object(r.a)(w,e),w.length=w.entries.length,c.notifyListeners(w.location,w.action)}function f(){return Math.random().toString(36).substr(2,s)}var p=A(l,0,a.length-1),g=a.map((function(e){return h(e,void 0,"string"==typeof e?f():e.key||f())})),y=m;function v(e){var t=A(w.index+e,0,w.entries.length-1),r=w.entries[t];c.confirmTransitionTo(r,"POP",n,(function(e){e?d({action:"POP",location:r,index:t}):d()}))}var w={length:g.length,action:"POP",location:g[p],index:p,entries:g,createHref:y,push:function(e,t){var r="PUSH",o=h(e,t,f(),w.location);c.confirmTransitionTo(o,r,n,(function(e){if(e){var t=w.index+1,n=w.entries.slice(0);n.length>t?n.splice(t,n.length-t,o):n.push(o),d({action:r,location:o,index:t,entries:n})}}))},replace:function(e,t){var r="REPLACE",o=h(e,t,f(),w.location);c.confirmTransitionTo(o,r,n,(function(e){e&&(w.entries[w.index]=o,d({action:r,location:o}))}))},go:v,goBack:function(){v(-1)},goForward:function(){v(1)},canGo:function(e){var t=w.index+e;return t>=0&&t<w.entries.length},block:function(e){return void 0===e&&(e=!1),c.setPrompt(e)},listen:function(e){return c.appendListener(e)}};return w}},function(e,t,n){"use strict";function r(e,t){if(null==e)return{};var n,r,o={},a=Object.keys(e);for(r=0;r<a.length;r++)n=a[r],t.indexOf(n)>=0||(o[n]=e[n]);return o}n.d(t,"a",(function(){return r}))},function(e,t,n){"use strict";const r=!("undefined"==typeof window||!window.document||!window.document.createElement),o={canUseDOM:r,canUseEventListeners:r&&!(!window.addEventListener&&!window.attachEvent),canUseIntersectionObserver:r&&"IntersectionObserver"in window,canUseViewport:r&&!!window.screen};t.a=o},function(e,t,n){"use strict";n.d(t,"a",(function(){return l})),n.d(t,"b",(function(){return u}));var r=n(2),o=n(3),a=n(0),i=n.n(a);function l(e,t,n){return void 0===n&&(n=[]),e.some((function(e){var o=e.path?Object(r.j)(t,e):n.length?n[n.length-1].match:r.e.computeRootMatch(t);return o&&(n.push({route:e,match:o}),e.routes&&l(e.routes,t,n)),o})),n}function u(e,t,n){return void 0===t&&(t={}),void 0===n&&(n={}),e?i.a.createElement(r.g,n,e.map((function(e,n){return i.a.createElement(r.d,{key:e.key||n,path:e.path,exact:e.exact,strict:e.strict,render:function(n){return e.render?e.render(Object(o.a)({},n,{},t,{route:e})):i.a.createElement(e.component,Object(o.a)({},n,t,{route:e}))}})}))):null}},function(e,t,n){"use strict";n.d(t,"a",(function(){return d})),n.d(t,"b",(function(){return f})),n.d(t,"c",(function(){return y})),n.d(t,"e",(function(){return S}));var r=n(2);n.d(t,"d",(function(){return r.a})),n.d(t,"f",(function(){return r.b})),n.d(t,"g",(function(){return r.c})),n.d(t,"h",(function(){return r.d})),n.d(t,"i",(function(){return r.e})),n.d(t,"j",(function(){return r.f})),n.d(t,"k",(function(){return r.g})),n.d(t,"l",(function(){return r.i})),n.d(t,"m",(function(){return r.j})),n.d(t,"n",(function(){return r.k})),n.d(t,"o",(function(){return r.l})),n.d(t,"p",(function(){return r.m})),n.d(t,"q",(function(){return r.n})),n.d(t,"r",(function(){return r.o}));var o=n(5),a=n(0),i=n.n(a),l=n(6),u=(n(1),n(3)),s=n(7),c=n(4),d=function(e){function t(){for(var t,n=arguments.length,r=new Array(n),o=0;o<n;o++)r[o]=arguments[o];return(t=e.call.apply(e,[this].concat(r))||this).history=Object(l.a)(t.props),t}return Object(o.a)(t,e),t.prototype.render=function(){return i.a.createElement(r.e,{history:this.history,children:this.props.children})},t}(i.a.Component);var f=function(e){function t(){for(var t,n=arguments.length,r=new Array(n),o=0;o<n;o++)r[o]=arguments[o];return(t=e.call.apply(e,[this].concat(r))||this).history=Object(l.b)(t.props),t}return Object(o.a)(t,e),t.prototype.render=function(){return i.a.createElement(r.e,{history:this.history,children:this.props.children})},t}(i.a.Component);var p=function(e,t){return"function"==typeof e?e(t):e},m=function(e,t){return"string"==typeof e?Object(l.c)(e,null,null,t):e},h=function(e){return e},g=i.a.forwardRef;void 0===g&&(g=h);var b=g((function(e,t){var n=e.innerRef,r=e.navigate,o=e.onClick,a=Object(s.a)(e,["innerRef","navigate","onClick"]),l=a.target,c=Object(u.a)({},a,{onClick:function(e){try{o&&o(e)}catch(t){throw e.preventDefault(),t}e.defaultPrevented||0!==e.button||l&&"_self"!==l||function(e){return!!(e.metaKey||e.altKey||e.ctrlKey||e.shiftKey)}(e)||(e.preventDefault(),r())}});return c.ref=h!==g&&t||n,i.a.createElement("a",c)}));var y=g((function(e,t){var n=e.component,o=void 0===n?b:n,a=e.replace,l=e.to,d=e.innerRef,f=Object(s.a)(e,["component","replace","to","innerRef"]);return i.a.createElement(r.h.Consumer,null,(function(e){e||Object(c.a)(!1);var n=e.history,r=m(p(l,e.location),e.location),s=r?n.createHref(r):"",b=Object(u.a)({},f,{href:s,navigate:function(){var t=p(l,e.location);(a?n.replace:n.push)(t)}});return h!==g?b.ref=t||d:b.innerRef=d,i.a.createElement(o,b)}))})),v=function(e){return e},w=i.a.forwardRef;void 0===w&&(w=v);var S=w((function(e,t){var n=e["aria-current"],o=void 0===n?"page":n,a=e.activeClassName,l=void 0===a?"active":a,d=e.activeStyle,f=e.className,h=e.exact,g=e.isActive,b=e.location,S=e.sensitive,k=e.strict,E=e.style,P=e.to,T=e.innerRef,x=Object(s.a)(e,["aria-current","activeClassName","activeStyle","className","exact","isActive","location","sensitive","strict","style","to","innerRef"]);return i.a.createElement(r.h.Consumer,null,(function(e){e||Object(c.a)(!1);var n=b||e.location,a=m(p(P,n),n),s=a.pathname,C=s&&s.replace(/([.+*?=^!:${}()[\]|/\\])/g,"\\$1"),O=C?Object(r.j)(n.pathname,{path:C,exact:h,sensitive:S,strict:k}):null,_=!!(g?g(O,n):O),A=_?function(){for(var e=arguments.length,t=new Array(e),n=0;n<e;n++)t[n]=arguments[n];return t.filter((function(e){return e})).join(" ")}(f,l):f,R=_?Object(u.a)({},E,{},d):E,N=Object(u.a)({"aria-current":_&&o||null,className:A,style:R,to:a},x);return v!==w?N.ref=t||T:N.innerRef=T,i.a.createElement(y,N)}))}))},function(e,t,n){"use strict";n.r(t),t.default={title:"PSP-UFU",tagline:"Power System Platform of Federal University of Uberl\xe2ndia",url:"https://thales1330.github.io",baseUrl:"/PSP/",favicon:"img/favicon.ico",organizationName:"thales1330",projectName:"PSP",themeConfig:{colorMode:{defaultMode:"dark",disableSwitch:!1,respectPrefersColorScheme:!0,switchConfig:{darkIcon:"\ud83c\udf19",darkIconStyle:{marginLeft:"2px"},lightIcon:"\u2600",lightIconStyle:{marginLeft:"1px"}}},navbar:{title:"PSP-UFU",logo:{alt:"PSP-UFU logo",src:"img/logo.svg"},items:[{to:"docs/",activeBasePath:"docs",label:"User Guide",position:"left"},{to:"blog",label:"Changelog",position:"left"},{type:"localeDropdown",position:"right",dropdownItemsBefore:[],dropdownItemsAfter:[]},{href:"https://github.com/Thales1330/PSP",label:"GitHub",position:"right"}],hideOnScroll:!1},footer:{style:"dark",links:[{title:"Guide",items:[{label:"PSP-UFU Guide",to:"docs/"},{label:"Code Documentation",to:"https://thales1330.github.io/PSP/doxygen/html/index.html"}]},{title:"Community",items:[{label:"Ask a question",href:"https://github.com/Thales1330/PSP/issues"},{label:"Twitter",href:"https://twitter.com/PspUfu"}]},{title:"Site Image Credit",items:[{label:"Images designed by upklyak / slidesgo / macrovector / Freepik",href:"http://www.freepik.com/"}]}],copyright:"Copyright \xa9 2021 Thales Lima Oliveira. Built with Docusaurus."},algolia:{apiKey:"810abe1ba98dec3f185d77a2dcf491d5",indexName:"psp-ufu",searchParameters:{},contextualSearch:!1,appId:"BH4D9OD16A"},docs:{versionPersistence:"localStorage"},metadatas:[],prism:{additionalLanguages:[]},hideableSidebar:!1},presets:[["@docusaurus/preset-classic",{docs:{sidebarPath:"C:\\Users\\Pichau\\Documents\\GitHub\\PSP\\docusaurus\\sidebars.js",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus",remarkPlugins:[null],rehypePlugins:[[null,{strict:!1}]]},blog:{showReadingTime:!0,editUrl:"https://github.com/Thales1330/PSP/tree/master/docs"},theme:{customCss:"C:\\Users\\Pichau\\Documents\\GitHub\\PSP\\docusaurus\\src\\css\\custom.css"},sitemap:{changefreq:"weekly",priority:.5}}]],i18n:{defaultLocale:"en",locales:["en","pt"],localeConfigs:{en:{label:"English",direction:"ltr"},pt:{label:"Portugu\xeas",direction:"ltr"}}},baseUrlIssueBanner:!0,onBrokenLinks:"throw",onBrokenMarkdownLinks:"warn",onDuplicateRoutes:"warn",customFields:{},plugins:[],themes:[],titleDelimiter:"|",noIndex:!1}},function(e,t,n){"use strict";var r=Object.getOwnPropertySymbols,o=Object.prototype.hasOwnProperty,a=Object.prototype.propertyIsEnumerable;function i(e){if(null==e)throw new TypeError("Object.assign cannot be called with null or undefined");return Object(e)}e.exports=function(){try{if(!Object.assign)return!1;var e=new String("abc");if(e[5]="de","5"===Object.getOwnPropertyNames(e)[0])return!1;for(var t={},n=0;n<10;n++)t["_"+String.fromCharCode(n)]=n;if("0123456789"!==Object.getOwnPropertyNames(t).map((function(e){return t[e]})).join(""))return!1;var r={};return"abcdefghijklmnopqrst".split("").forEach((function(e){r[e]=e})),"abcdefghijklmnopqrst"===Object.keys(Object.assign({},r)).join("")}catch(o){return!1}}()?Object.assign:function(e,t){for(var n,l,u=i(e),s=1;s<arguments.length;s++){for(var c in n=Object(arguments[s]))o.call(n,c)&&(u[c]=n[c]);if(r){l=r(n);for(var d=0;d<l.length;d++)a.call(n,l[d])&&(u[l[d]]=n[l[d]])}}return u}},function(e){e.exports=JSON.parse('{"/PSP/-5c4":{"component":"c4f5d8e4","config":"5e9f5e1a"},"/PSP/blog-a70":{"component":"a6aa9e1f","sidebar":"2efa02d5","items":[{"content":"d463bbea"},{"content":"d50d565c"},{"content":"8ed8a9e1"},{"content":"7997999e"},{"content":"dcc783b1"}],"metadata":"e0028f30"},"/PSP/blog/2019/10/13/2019w42a-beta-e7e":{"component":"ccc49370","sidebar":"2efa02d5","content":"8cfac46c"},"/PSP/blog/2019/11/01/2019w44a-beta-b68":{"component":"ccc49370","sidebar":"2efa02d5","content":"d537ea54"},"/PSP/blog/2020/06/13/2020w24a-beta-f1d":{"component":"ccc49370","sidebar":"2efa02d5","content":"eaff9a91"},"/PSP/blog/2020/07/09/2020w28a-beta-dcb":{"component":"ccc49370","sidebar":"2efa02d5","content":"ff0ce105"},"/PSP/blog/2020/08/01/2020w31a-beta-e7a":{"component":"ccc49370","sidebar":"2efa02d5","content":"a943de56"},"/PSP/blog/tags-5c1":{"component":"01a85c17","sidebar":"2efa02d5","tags":"90d4a177"},"/PSP/blog/tags/psp-ufu-1fc":{"component":"6875c492","sidebar":"2efa02d5","items":[{"content":"d463bbea"},{"content":"d50d565c"},{"content":"8ed8a9e1"},{"content":"7997999e"},{"content":"dcc783b1"}],"metadata":"e1ddd01a"},"/PSP/search-89b":{"component":"bb0ce18c"},"/PSP/docs-323":{"component":"1be78505","versionMetadata":"935f2afb"},"/PSP/docs/-7d5":{"component":"17896441","content":"7e081317"},"/PSP/docs/bus-f3e":{"component":"17896441","content":"c54a95a3"},"/PSP/docs/cadTools-386":{"component":"17896441","content":"88afc5eb"},"/PSP/docs/capacitor-417":{"component":"17896441","content":"9e083272"},"/PSP/docs/const-6ff":{"component":"17896441","content":"3c5f9397"},"/PSP/docs/controlEditor-7b8":{"component":"17896441","content":"d5f3ae99"},"/PSP/docs/divider-86e":{"component":"17896441","content":"90868595"},"/PSP/docs/exponential-707":{"component":"17896441","content":"6a02ff99"},"/PSP/docs/fault-c23":{"component":"17896441","content":"dd251301"},"/PSP/docs/gain-87c":{"component":"17896441","content":"5a51001a"},"/PSP/docs/graphViewer-a77":{"component":"17896441","content":"658d5b0f"},"/PSP/docs/harmonics-282":{"component":"17896441","content":"ccb74ecc"},"/PSP/docs/harmSource-30e":{"component":"17896441","content":"042f27db"},"/PSP/docs/heatmap-ae9":{"component":"17896441","content":"4674b17c"},"/PSP/docs/indMotor-427":{"component":"17896441","content":"0c878f6a"},"/PSP/docs/inductor-b41":{"component":"17896441","content":"ad9b507e"},"/PSP/docs/installation-5d3":{"component":"17896441","content":"3b8c55ea"},"/PSP/docs/io-955":{"component":"17896441","content":"484c963e"},"/PSP/docs/limiter-f6b":{"component":"17896441","content":"86b8f0ff"},"/PSP/docs/line-cd1":{"component":"17896441","content":"16c40e2a"},"/PSP/docs/load-5b9":{"component":"17896441","content":"419ecf13"},"/PSP/docs/mainScreen-0ed":{"component":"17896441","content":"2f9e530b"},"/PSP/docs/mathExpression-1b9":{"component":"17896441","content":"fae3e67f"},"/PSP/docs/multiplier-b80":{"component":"17896441","content":"38defb3b"},"/PSP/docs/powerEditor-10b":{"component":"17896441","content":"45a07814"},"/PSP/docs/powerFlow-e94":{"component":"17896441","content":"109a3630"},"/PSP/docs/rateLimiter-e7c":{"component":"17896441","content":"154b882b"},"/PSP/docs/simulationConfig-a49":{"component":"17896441","content":"f9c3174d"},"/PSP/docs/stability-a30":{"component":"17896441","content":"97f10cc2"},"/PSP/docs/sum-ff3":{"component":"17896441","content":"e240fc47"},"/PSP/docs/syncGenerator-c51":{"component":"17896441","content":"0ce9c370"},"/PSP/docs/syncMotor-c06":{"component":"17896441","content":"f4fe2c8f"},"/PSP/docs/tabularReport-133":{"component":"17896441","content":"f5562597"},"/PSP/docs/text-c0d":{"component":"17896441","content":"fada0ee8"},"/PSP/docs/transferFunction-f19":{"component":"17896441","content":"8773f011"},"/PSP/docs/transformer-188":{"component":"17896441","content":"eb483476"}}')},function(e,t,n){"use strict";var r=n(0),o=n.n(r);t.a=o.a.createContext(null)},function(e,t,n){var r,o;void 0===(o="function"==typeof(r=function(){var e,t,n={version:"0.2.0"},r=n.settings={minimum:.08,easing:"ease",positionUsing:"",speed:200,trickle:!0,trickleRate:.02,trickleSpeed:800,showSpinner:!0,barSelector:'[role="bar"]',spinnerSelector:'[role="spinner"]',parent:"body",template:'<div class="bar" role="bar"><div class="peg"></div></div><div class="spinner" role="spinner"><div class="spinner-icon"></div></div>'};function o(e,t,n){return e<t?t:e>n?n:e}function a(e){return 100*(-1+e)}function i(e,t,n){var o;return(o="translate3d"===r.positionUsing?{transform:"translate3d("+a(e)+"%,0,0)"}:"translate"===r.positionUsing?{transform:"translate("+a(e)+"%,0)"}:{"margin-left":a(e)+"%"}).transition="all "+t+"ms "+n,o}n.configure=function(e){var t,n;for(t in e)void 0!==(n=e[t])&&e.hasOwnProperty(t)&&(r[t]=n);return this},n.status=null,n.set=function(e){var t=n.isStarted();e=o(e,r.minimum,1),n.status=1===e?null:e;var a=n.render(!t),s=a.querySelector(r.barSelector),c=r.speed,d=r.easing;return a.offsetWidth,l((function(t){""===r.positionUsing&&(r.positionUsing=n.getPositioningCSS()),u(s,i(e,c,d)),1===e?(u(a,{transition:"none",opacity:1}),a.offsetWidth,setTimeout((function(){u(a,{transition:"all "+c+"ms linear",opacity:0}),setTimeout((function(){n.remove(),t()}),c)}),c)):setTimeout(t,c)})),this},n.isStarted=function(){return"number"==typeof n.status},n.start=function(){n.status||n.set(0);var e=function(){setTimeout((function(){n.status&&(n.trickle(),e())}),r.trickleSpeed)};return r.trickle&&e(),this},n.done=function(e){return e||n.status?n.inc(.3+.5*Math.random()).set(1):this},n.inc=function(e){var t=n.status;return t?("number"!=typeof e&&(e=(1-t)*o(Math.random()*t,.1,.95)),t=o(t+e,0,.994),n.set(t)):n.start()},n.trickle=function(){return n.inc(Math.random()*r.trickleRate)},e=0,t=0,n.promise=function(r){return r&&"resolved"!==r.state()?(0===t&&n.start(),e++,t++,r.always((function(){0==--t?(e=0,n.done()):n.set((e-t)/e)})),this):this},n.render=function(e){if(n.isRendered())return document.getElementById("nprogress");c(document.documentElement,"nprogress-busy");var t=document.createElement("div");t.id="nprogress",t.innerHTML=r.template;var o,i=t.querySelector(r.barSelector),l=e?"-100":a(n.status||0),s=document.querySelector(r.parent);return u(i,{transition:"all 0 linear",transform:"translate3d("+l+"%,0,0)"}),r.showSpinner||(o=t.querySelector(r.spinnerSelector))&&p(o),s!=document.body&&c(s,"nprogress-custom-parent"),s.appendChild(t),t},n.remove=function(){d(document.documentElement,"nprogress-busy"),d(document.querySelector(r.parent),"nprogress-custom-parent");var e=document.getElementById("nprogress");e&&p(e)},n.isRendered=function(){return!!document.getElementById("nprogress")},n.getPositioningCSS=function(){var e=document.body.style,t="WebkitTransform"in e?"Webkit":"MozTransform"in e?"Moz":"msTransform"in e?"ms":"OTransform"in e?"O":"";return t+"Perspective"in e?"translate3d":t+"Transform"in e?"translate":"margin"};var l=function(){var e=[];function t(){var n=e.shift();n&&n(t)}return function(n){e.push(n),1==e.length&&t()}}(),u=function(){var e=["Webkit","O","Moz","ms"],t={};function n(e){return e.replace(/^-ms-/,"ms-").replace(/-([\da-z])/gi,(function(e,t){return t.toUpperCase()}))}function r(t){var n=document.body.style;if(t in n)return t;for(var r,o=e.length,a=t.charAt(0).toUpperCase()+t.slice(1);o--;)if((r=e[o]+a)in n)return r;return t}function o(e){return e=n(e),t[e]||(t[e]=r(e))}function a(e,t,n){t=o(t),e.style[t]=n}return function(e,t){var n,r,o=arguments;if(2==o.length)for(n in t)void 0!==(r=t[n])&&t.hasOwnProperty(n)&&a(e,n,r);else a(e,o[1],o[2])}}();function s(e,t){return("string"==typeof e?e:f(e)).indexOf(" "+t+" ")>=0}function c(e,t){var n=f(e),r=n+t;s(n,t)||(e.className=r.substring(1))}function d(e,t){var n,r=f(e);s(e,t)&&(n=r.replace(" "+t+" "," "),e.className=n.substring(1,n.length-1))}function f(e){return(" "+(e.className||"")+" ").replace(/\s+/gi," ")}function p(e){e&&e.parentNode&&e.parentNode.removeChild(e)}return n})?r.call(t,n,t,e):r)||(e.exports=o)},function(e,t,n){"use strict";n.r(t);var r=n(0),o=n(14);t.default=function(){const e=Object(r.useContext)(o.a);if(null===e)throw new Error("Docusaurus context not provided");return e}},,,function(e,t,n){var r={"./":48};function o(e){var t=a(e);return n(t)}function a(e){if(!n.o(r,e)){var t=new Error("Cannot find module '"+e+"'");throw t.code="MODULE_NOT_FOUND",t}return r[e]}o.keys=function(){return Object.keys(r)},o.resolve=a,e.exports=o,o.id=19},function(e,t,n){"use strict";function r(e,t){e.prototype=Object.create(t.prototype),e.prototype.constructor=e,e.__proto__=t}function o(e){if(void 0===e)throw new ReferenceError("this hasn't been initialised - super() hasn't been called");return e}function a(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function i(){return(i=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var n=arguments[t];for(var r in n)Object.prototype.hasOwnProperty.call(n,r)&&(e[r]=n[r])}return e}).apply(this,arguments)}var l=n(0),u=n(1),s=[],c=[];function d(e){var t=e(),n={loading:!0,loaded:null,error:null};return n.promise=t.then((function(e){return n.loading=!1,n.loaded=e,e})).catch((function(e){throw n.loading=!1,n.error=e,e})),n}function f(e){var t={loading:!1,loaded:{},error:null},n=[];try{Object.keys(e).forEach((function(r){var o=d(e[r]);o.loading?t.loading=!0:(t.loaded[r]=o.loaded,t.error=o.error),n.push(o.promise),o.promise.then((function(e){t.loaded[r]=e})).catch((function(e){t.error=e}))}))}catch(r){t.error=r}return t.promise=Promise.all(n).then((function(e){return t.loading=!1,e})).catch((function(e){throw t.loading=!1,e})),t}function p(e,t){return l.createElement((n=e)&&n.__esModule?n.default:n,t);var n}function m(e,t){var d,f;if(!t.loading)throw new Error("react-loadable requires a `loading` component");var m=i({loader:null,loading:null,delay:200,timeout:null,render:p,webpack:null,modules:null},t),h=null;function g(){return h||(h=e(m.loader)),h.promise}return s.push(g),"function"==typeof m.webpack&&c.push((function(){if((0,m.webpack)().every((function(e){return void 0!==e&&void 0!==n.m[e]})))return g()})),f=d=function(t){function n(n){var r;return a(o(o(r=t.call(this,n)||this)),"retry",(function(){r.setState({error:null,loading:!0,timedOut:!1}),h=e(m.loader),r._loadModule()})),g(),r.state={error:h.error,pastDelay:!1,timedOut:!1,loading:h.loading,loaded:h.loaded},r}r(n,t),n.preload=function(){return g()};var i=n.prototype;return i.UNSAFE_componentWillMount=function(){this._loadModule()},i.componentDidMount=function(){this._mounted=!0},i._loadModule=function(){var e=this;if(this.context.loadable&&Array.isArray(m.modules)&&m.modules.forEach((function(t){e.context.loadable.report(t)})),h.loading){var t=function(t){e._mounted&&e.setState(t)};"number"==typeof m.delay&&(0===m.delay?this.setState({pastDelay:!0}):this._delay=setTimeout((function(){t({pastDelay:!0})}),m.delay)),"number"==typeof m.timeout&&(this._timeout=setTimeout((function(){t({timedOut:!0})}),m.timeout));var n=function(){t({error:h.error,loaded:h.loaded,loading:h.loading}),e._clearTimeouts()};h.promise.then((function(){return n(),null})).catch((function(e){return n(),null}))}},i.componentWillUnmount=function(){this._mounted=!1,this._clearTimeouts()},i._clearTimeouts=function(){clearTimeout(this._delay),clearTimeout(this._timeout)},i.render=function(){return this.state.loading||this.state.error?l.createElement(m.loading,{isLoading:this.state.loading,pastDelay:this.state.pastDelay,timedOut:this.state.timedOut,error:this.state.error,retry:this.retry}):this.state.loaded?m.render(this.state.loaded,this.props):null},n}(l.Component),a(d,"contextTypes",{loadable:u.shape({report:u.func.isRequired})}),f}function h(e){return m(d,e)}h.Map=function(e){if("function"!=typeof e.render)throw new Error("LoadableMap requires a `render(loaded, props)` function");return m(f,e)};var g=function(e){function t(){return e.apply(this,arguments)||this}r(t,e);var n=t.prototype;return n.getChildContext=function(){return{loadable:{report:this.props.report}}},n.render=function(){return l.Children.only(this.props.children)},t}(l.Component);function b(e){for(var t=[];e.length;){var n=e.pop();t.push(n())}return Promise.all(t).then((function(){if(e.length)return b(e)}))}a(g,"propTypes",{report:u.func.isRequired}),a(g,"childContextTypes",{loadable:u.shape({report:u.func.isRequired}).isRequired}),h.Capture=g,h.preloadAll=function(){return new Promise((function(e,t){b(s).then(e,t)}))},h.preloadReady=function(){return new Promise((function(e,t){b(c).then(e,e)}))},e.exports=h},function(e,t,n){"use strict";(function(e){var r=n(0),o=n.n(r),a=n(5),i=n(1),l=n.n(i),u=1073741823,s="undefined"!=typeof globalThis?globalThis:"undefined"!=typeof window?window:void 0!==e?e:{};function c(e){var t=[];return{on:function(e){t.push(e)},off:function(e){t=t.filter((function(t){return t!==e}))},get:function(){return e},set:function(n,r){e=n,t.forEach((function(t){return t(e,r)}))}}}var d=o.a.createContext||function(e,t){var n,o,i,d="__create-react-context-"+((s[i="__global_unique_id__"]=(s[i]||0)+1)+"__"),f=function(e){function n(){var t;return(t=e.apply(this,arguments)||this).emitter=c(t.props.value),t}Object(a.a)(n,e);var r=n.prototype;return r.getChildContext=function(){var e;return(e={})[d]=this.emitter,e},r.componentWillReceiveProps=function(e){if(this.props.value!==e.value){var n,r=this.props.value,o=e.value;((a=r)===(i=o)?0!==a||1/a==1/i:a!=a&&i!=i)?n=0:(n="function"==typeof t?t(r,o):u,0!==(n|=0)&&this.emitter.set(e.value,n))}var a,i},r.render=function(){return this.props.children},n}(r.Component);f.childContextTypes=((n={})[d]=l.a.object.isRequired,n);var p=function(t){function n(){var e;return(e=t.apply(this,arguments)||this).state={value:e.getValue()},e.onUpdate=function(t,n){0!=((0|e.observedBits)&n)&&e.setState({value:e.getValue()})},e}Object(a.a)(n,t);var r=n.prototype;return r.componentWillReceiveProps=function(e){var t=e.observedBits;this.observedBits=null==t?u:t},r.componentDidMount=function(){this.context[d]&&this.context[d].on(this.onUpdate);var e=this.props.observedBits;this.observedBits=null==e?u:e},r.componentWillUnmount=function(){this.context[d]&&this.context[d].off(this.onUpdate)},r.getValue=function(){return this.context[d]?this.context[d].get():e},r.render=function(){return(e=this.props.children,Array.isArray(e)?e[0]:e)(this.state.value);var e},n}(r.Component);return p.contextTypes=((o={})[d]=l.a.object,o),{Provider:f,Consumer:p}};t.a=d}).call(this,n(29))},function(e,t,n){var r=n(45);e.exports=p,e.exports.parse=a,e.exports.compile=function(e,t){return l(a(e,t),t)},e.exports.tokensToFunction=l,e.exports.tokensToRegExp=f;var o=new RegExp(["(\\\\.)","([\\/.])?(?:(?:\\:(\\w+)(?:\\(((?:\\\\.|[^\\\\()])+)\\))?|\\(((?:\\\\.|[^\\\\()])+)\\))([+*?])?|(\\*))"].join("|"),"g");function a(e,t){for(var n,r=[],a=0,i=0,l="",c=t&&t.delimiter||"/";null!=(n=o.exec(e));){var d=n[0],f=n[1],p=n.index;if(l+=e.slice(i,p),i=p+d.length,f)l+=f[1];else{var m=e[i],h=n[2],g=n[3],b=n[4],y=n[5],v=n[6],w=n[7];l&&(r.push(l),l="");var S=null!=h&&null!=m&&m!==h,k="+"===v||"*"===v,E="?"===v||"*"===v,P=n[2]||c,T=b||y;r.push({name:g||a++,prefix:h||"",delimiter:P,optional:E,repeat:k,partial:S,asterisk:!!w,pattern:T?s(T):w?".*":"[^"+u(P)+"]+?"})}}return i<e.length&&(l+=e.substr(i)),l&&r.push(l),r}function i(e){return encodeURI(e).replace(/[\/?#]/g,(function(e){return"%"+e.charCodeAt(0).toString(16).toUpperCase()}))}function l(e,t){for(var n=new Array(e.length),o=0;o<e.length;o++)"object"==typeof e[o]&&(n[o]=new RegExp("^(?:"+e[o].pattern+")$",d(t)));return function(t,o){for(var a="",l=t||{},u=(o||{}).pretty?i:encodeURIComponent,s=0;s<e.length;s++){var c=e[s];if("string"!=typeof c){var d,f=l[c.name];if(null==f){if(c.optional){c.partial&&(a+=c.prefix);continue}throw new TypeError('Expected "'+c.name+'" to be defined')}if(r(f)){if(!c.repeat)throw new TypeError('Expected "'+c.name+'" to not repeat, but received `'+JSON.stringify(f)+"`");if(0===f.length){if(c.optional)continue;throw new TypeError('Expected "'+c.name+'" to not be empty')}for(var p=0;p<f.length;p++){if(d=u(f[p]),!n[s].test(d))throw new TypeError('Expected all "'+c.name+'" to match "'+c.pattern+'", but received `'+JSON.stringify(d)+"`");a+=(0===p?c.prefix:c.delimiter)+d}}else{if(d=c.asterisk?encodeURI(f).replace(/[?#]/g,(function(e){return"%"+e.charCodeAt(0).toString(16).toUpperCase()})):u(f),!n[s].test(d))throw new TypeError('Expected "'+c.name+'" to match "'+c.pattern+'", but received "'+d+'"');a+=c.prefix+d}}else a+=c}return a}}function u(e){return e.replace(/([.+*?=^!:${}()[\]|\/\\])/g,"\\$1")}function s(e){return e.replace(/([=!:$\/()])/g,"\\$1")}function c(e,t){return e.keys=t,e}function d(e){return e&&e.sensitive?"":"i"}function f(e,t,n){r(t)||(n=t||n,t=[]);for(var o=(n=n||{}).strict,a=!1!==n.end,i="",l=0;l<e.length;l++){var s=e[l];if("string"==typeof s)i+=u(s);else{var f=u(s.prefix),p="(?:"+s.pattern+")";t.push(s),s.repeat&&(p+="(?:"+f+p+")*"),i+=p=s.optional?s.partial?f+"("+p+")?":"(?:"+f+"("+p+"))?":f+"("+p+")"}}var m=u(n.delimiter||"/"),h=i.slice(-m.length)===m;return o||(i=(h?i.slice(0,-m.length):i)+"(?:"+m+"(?=$))?"),i+=a?"$":o&&h?"":"(?="+m+"|$)",c(new RegExp("^"+i,d(n)),t)}function p(e,t,n){return r(t)||(n=t||n,t=[]),n=n||{},e instanceof RegExp?function(e,t){var n=e.source.match(/\((?!\?)/g);if(n)for(var r=0;r<n.length;r++)t.push({name:r,prefix:null,delimiter:null,optional:!1,repeat:!1,partial:!1,asterisk:!1,pattern:null});return c(e,t)}(e,t):r(e)?function(e,t,n){for(var r=[],o=0;o<e.length;o++)r.push(p(e[o],t,n).source);return c(new RegExp("(?:"+r.join("|")+")",d(n)),t)}(e,t,n):function(e,t,n){return f(a(e,n),t,n)}(e,t,n)}},function(e,t,n){"use strict";n.r(t);var r=n(10);n.d(t,"MemoryRouter",(function(){return r.d})),n.d(t,"Prompt",(function(){return r.f})),n.d(t,"Redirect",(function(){return r.g})),n.d(t,"Route",(function(){return r.h})),n.d(t,"Router",(function(){return r.i})),n.d(t,"StaticRouter",(function(){return r.j})),n.d(t,"Switch",(function(){return r.k})),n.d(t,"generatePath",(function(){return r.l})),n.d(t,"matchPath",(function(){return r.m})),n.d(t,"useHistory",(function(){return r.n})),n.d(t,"useLocation",(function(){return r.o})),n.d(t,"useParams",(function(){return r.p})),n.d(t,"useRouteMatch",(function(){return r.q})),n.d(t,"withRouter",(function(){return r.r})),n.d(t,"BrowserRouter",(function(){return r.a})),n.d(t,"HashRouter",(function(){return r.b})),n.d(t,"Link",(function(){return r.c})),n.d(t,"NavLink",(function(){return r.e}))},function(e,t,n){"use strict";var r,o,a,i=(r=0,o={util:{encode:function(e){return e instanceof a?new a(e.type,o.util.encode(e.content),e.alias):"Array"===o.util.type(e)?e.map(o.util.encode):e.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/\u00a0/g," ")},type:function(e){return Object.prototype.toString.call(e).match(/\[object (\w+)\]/)[1]},objId:function(e){return e.__id||Object.defineProperty(e,"__id",{value:++r}),e.__id},clone:function(e,t){var n=o.util.type(e);switch(t=t||{},n){case"Object":if(t[o.util.objId(e)])return t[o.util.objId(e)];var r={};for(var a in t[o.util.objId(e)]=r,e)e.hasOwnProperty(a)&&(r[a]=o.util.clone(e[a],t));return r;case"Array":return t[o.util.objId(e)]?t[o.util.objId(e)]:(r=[],t[o.util.objId(e)]=r,e.forEach((function(e,n){r[n]=o.util.clone(e,t)})),r)}return e}},languages:{extend:function(e,t){var n=o.util.clone(o.languages[e]);for(var r in t)n[r]=t[r];return n},insertBefore:function(e,t,n,r){var a=(r=r||o.languages)[e];if(2==arguments.length){for(var i in n=arguments[1])n.hasOwnProperty(i)&&(a[i]=n[i]);return a}var l={};for(var u in a)if(a.hasOwnProperty(u)){if(u==t)for(var i in n)n.hasOwnProperty(i)&&(l[i]=n[i]);l[u]=a[u]}return o.languages.DFS(o.languages,(function(t,n){n===r[e]&&t!=e&&(this[t]=l)})),r[e]=l},DFS:function(e,t,n,r){for(var a in r=r||{},e)e.hasOwnProperty(a)&&(t.call(e,a,e[a],n||a),"Object"!==o.util.type(e[a])||r[o.util.objId(e[a])]?"Array"!==o.util.type(e[a])||r[o.util.objId(e[a])]||(r[o.util.objId(e[a])]=!0,o.languages.DFS(e[a],t,a,r)):(r[o.util.objId(e[a])]=!0,o.languages.DFS(e[a],t,null,r)))}},plugins:{},highlight:function(e,t,n){var r={code:e,grammar:t,language:n};return o.hooks.run("before-tokenize",r),r.tokens=o.tokenize(r.code,r.grammar),o.hooks.run("after-tokenize",r),a.stringify(o.util.encode(r.tokens),r.language)},matchGrammar:function(e,t,n,r,a,i,l){var u=o.Token;for(var s in n)if(n.hasOwnProperty(s)&&n[s]){if(s==l)return;var c=n[s];c="Array"===o.util.type(c)?c:[c];for(var d=0;d<c.length;++d){var f=c[d],p=f.inside,m=!!f.lookbehind,h=!!f.greedy,g=0,b=f.alias;if(h&&!f.pattern.global){var y=f.pattern.toString().match(/[imuy]*$/)[0];f.pattern=RegExp(f.pattern.source,y+"g")}f=f.pattern||f;for(var v=r,w=a;v<t.length;w+=t[v].length,++v){var S=t[v];if(t.length>e.length)return;if(!(S instanceof u)){if(h&&v!=t.length-1){if(f.lastIndex=w,!(C=f.exec(e)))break;for(var k=C.index+(m?C[1].length:0),E=C.index+C[0].length,P=v,T=w,x=t.length;P<x&&(T<E||!t[P].type&&!t[P-1].greedy);++P)k>=(T+=t[P].length)&&(++v,w=T);if(t[v]instanceof u)continue;O=P-v,S=e.slice(w,T),C.index-=w}else{f.lastIndex=0;var C=f.exec(S),O=1}if(C){m&&(g=C[1]?C[1].length:0),E=(k=C.index+g)+(C=C[0].slice(g)).length;var _=S.slice(0,k),A=S.slice(E),R=[v,O];_&&(++v,w+=_.length,R.push(_));var N=new u(s,p?o.tokenize(C,p):C,b,C,h);if(R.push(N),A&&R.push(A),Array.prototype.splice.apply(t,R),1!=O&&o.matchGrammar(e,t,n,v,w,!0,s),i)break}else if(i)break}}}}},hooks:{add:function(){},run:function(e,t){}},tokenize:function(e,t,n){var r=[e],a=t.rest;if(a){for(var i in a)t[i]=a[i];delete t.rest}return o.matchGrammar(e,r,t,0,0,!1),r}},(a=o.Token=function(e,t,n,r,o){this.type=e,this.content=t,this.alias=n,this.length=0|(r||"").length,this.greedy=!!o}).stringify=function(e,t,n){if("string"==typeof e)return e;if("Array"===o.util.type(e))return e.map((function(n){return a.stringify(n,t,e)})).join("");var r={type:e.type,content:a.stringify(e.content,t,n),tag:"span",classes:["token",e.type],attributes:{},language:t,parent:n};if(e.alias){var i="Array"===o.util.type(e.alias)?e.alias:[e.alias];Array.prototype.push.apply(r.classes,i)}var l=Object.keys(r.attributes).map((function(e){return e+'="'+(r.attributes[e]||"").replace(/"/g,"&quot;")+'"'})).join(" ");return"<"+r.tag+' class="'+r.classes.join(" ")+'"'+(l?" "+l:"")+">"+r.content+"</"+r.tag+">"},o);i.languages.markup={comment:/<!--[\s\S]*?-->/,prolog:/<\?[\s\S]+?\?>/,doctype:{pattern:/<!DOCTYPE(?:[^>"'[\]]|"[^"]*"|'[^']*')+(?:\[(?:[^<"'\]]|"[^"]*"|'[^']*'|<(?!!--)|<!--(?:[^-]|-(?!->))*-->)*\]\s*)?>/i,greedy:!0,inside:{"internal-subset":{pattern:/(\[)[\s\S]+(?=\]>$)/,lookbehind:!0,greedy:!0,inside:null},string:{pattern:/"[^"]*"|'[^']*'/,greedy:!0},punctuation:/^<!|>$|[[\]]/,"doctype-tag":/^DOCTYPE/,name:/[^\s<>'"]+/}},cdata:/<!\[CDATA\[[\s\S]*?]]>/i,tag:{pattern:/<\/?(?!\d)[^\s>\/=$<%]+(?:\s(?:\s*[^\s>\/=]+(?:\s*=\s*(?:"[^"]*"|'[^']*'|[^\s'">=]+(?=[\s>]))|(?=[\s/>])))+)?\s*\/?>/,greedy:!0,inside:{tag:{pattern:/^<\/?[^\s>\/]+/,inside:{punctuation:/^<\/?/,namespace:/^[^\s>\/:]+:/}},"attr-value":{pattern:/=\s*(?:"[^"]*"|'[^']*'|[^\s'">=]+)/,inside:{punctuation:[{pattern:/^=/,alias:"attr-equals"},/"|'/]}},punctuation:/\/?>/,"attr-name":{pattern:/[^\s>\/]+/,inside:{namespace:/^[^\s>\/:]+:/}}}},entity:[{pattern:/&[\da-z]{1,8};/i,alias:"named-entity"},/&#x?[\da-f]{1,8};/i]},i.languages.markup.tag.inside["attr-value"].inside.entity=i.languages.markup.entity,i.languages.markup.doctype.inside["internal-subset"].inside=i.languages.markup,i.hooks.add("wrap",(function(e){"entity"===e.type&&(e.attributes.title=e.content.replace(/&amp;/,"&"))})),Object.defineProperty(i.languages.markup.tag,"addInlined",{value:function(e,t){var n={};n["language-"+t]={pattern:/(^<!\[CDATA\[)[\s\S]+?(?=\]\]>$)/i,lookbehind:!0,inside:i.languages[t]},n.cdata=/^<!\[CDATA\[|\]\]>$/i;var r={"included-cdata":{pattern:/<!\[CDATA\[[\s\S]*?\]\]>/i,inside:n}};r["language-"+t]={pattern:/[\s\S]+/,inside:i.languages[t]};var o={};o[e]={pattern:RegExp(/(<__[^>]*>)(?:<!\[CDATA\[(?:[^\]]|\](?!\]>))*\]\]>|(?!<!\[CDATA\[)[\s\S])*?(?=<\/__>)/.source.replace(/__/g,(function(){return e})),"i"),lookbehind:!0,greedy:!0,inside:r},i.languages.insertBefore("markup","cdata",o)}}),i.languages.html=i.languages.markup,i.languages.mathml=i.languages.markup,i.languages.svg=i.languages.markup,i.languages.xml=i.languages.extend("markup",{}),i.languages.ssml=i.languages.xml,i.languages.atom=i.languages.xml,i.languages.rss=i.languages.xml,function(e){var t="\\b(?:BASH|BASHOPTS|BASH_ALIASES|BASH_ARGC|BASH_ARGV|BASH_CMDS|BASH_COMPLETION_COMPAT_DIR|BASH_LINENO|BASH_REMATCH|BASH_SOURCE|BASH_VERSINFO|BASH_VERSION|COLORTERM|COLUMNS|COMP_WORDBREAKS|DBUS_SESSION_BUS_ADDRESS|DEFAULTS_PATH|DESKTOP_SESSION|DIRSTACK|DISPLAY|EUID|GDMSESSION|GDM_LANG|GNOME_KEYRING_CONTROL|GNOME_KEYRING_PID|GPG_AGENT_INFO|GROUPS|HISTCONTROL|HISTFILE|HISTFILESIZE|HISTSIZE|HOME|HOSTNAME|HOSTTYPE|IFS|INSTANCE|JOB|LANG|LANGUAGE|LC_ADDRESS|LC_ALL|LC_IDENTIFICATION|LC_MEASUREMENT|LC_MONETARY|LC_NAME|LC_NUMERIC|LC_PAPER|LC_TELEPHONE|LC_TIME|LESSCLOSE|LESSOPEN|LINES|LOGNAME|LS_COLORS|MACHTYPE|MAILCHECK|MANDATORY_PATH|NO_AT_BRIDGE|OLDPWD|OPTERR|OPTIND|ORBIT_SOCKETDIR|OSTYPE|PAPERSIZE|PATH|PIPESTATUS|PPID|PS1|PS2|PS3|PS4|PWD|RANDOM|REPLY|SECONDS|SELINUX_INIT|SESSION|SESSIONTYPE|SESSION_MANAGER|SHELL|SHELLOPTS|SHLVL|SSH_AUTH_SOCK|TERM|UID|UPSTART_EVENTS|UPSTART_INSTANCE|UPSTART_JOB|UPSTART_SESSION|USER|WINDOWID|XAUTHORITY|XDG_CONFIG_DIRS|XDG_CURRENT_DESKTOP|XDG_DATA_DIRS|XDG_GREETER_DATA_DIR|XDG_MENU_PREFIX|XDG_RUNTIME_DIR|XDG_SEAT|XDG_SEAT_PATH|XDG_SESSION_DESKTOP|XDG_SESSION_ID|XDG_SESSION_PATH|XDG_SESSION_TYPE|XDG_VTNR|XMODIFIERS)\\b",n={pattern:/(^(["']?)\w+\2)[ \t]+\S.*/,lookbehind:!0,alias:"punctuation",inside:null},r={bash:n,environment:{pattern:RegExp("\\$"+t),alias:"constant"},variable:[{pattern:/\$?\(\([\s\S]+?\)\)/,greedy:!0,inside:{variable:[{pattern:/(^\$\(\([\s\S]+)\)\)/,lookbehind:!0},/^\$\(\(/],number:/\b0x[\dA-Fa-f]+\b|(?:\b\d+(?:\.\d*)?|\B\.\d+)(?:[Ee]-?\d+)?/,operator:/--?|-=|\+\+?|\+=|!=?|~|\*\*?|\*=|\/=?|%=?|<<=?|>>=?|<=?|>=?|==?|&&?|&=|\^=?|\|\|?|\|=|\?|:/,punctuation:/\(\(?|\)\)?|,|;/}},{pattern:/\$\((?:\([^)]+\)|[^()])+\)|`[^`]+`/,greedy:!0,inside:{variable:/^\$\(|^`|\)$|`$/}},{pattern:/\$\{[^}]+\}/,greedy:!0,inside:{operator:/:[-=?+]?|[!\/]|##?|%%?|\^\^?|,,?/,punctuation:/[\[\]]/,environment:{pattern:RegExp("(\\{)"+t),lookbehind:!0,alias:"constant"}}},/\$(?:\w+|[#?*!@$])/],entity:/\\(?:[abceEfnrtv\\"]|O?[0-7]{1,3}|x[0-9a-fA-F]{1,2}|u[0-9a-fA-F]{4}|U[0-9a-fA-F]{8})/};e.languages.bash={shebang:{pattern:/^#!\s*\/.*/,alias:"important"},comment:{pattern:/(^|[^"{\\$])#.*/,lookbehind:!0},"function-name":[{pattern:/(\bfunction\s+)\w+(?=(?:\s*\(?:\s*\))?\s*\{)/,lookbehind:!0,alias:"function"},{pattern:/\b\w+(?=\s*\(\s*\)\s*\{)/,alias:"function"}],"for-or-select":{pattern:/(\b(?:for|select)\s+)\w+(?=\s+in\s)/,alias:"variable",lookbehind:!0},"assign-left":{pattern:/(^|[\s;|&]|[<>]\()\w+(?=\+?=)/,inside:{environment:{pattern:RegExp("(^|[\\s;|&]|[<>]\\()"+t),lookbehind:!0,alias:"constant"}},alias:"variable",lookbehind:!0},string:[{pattern:/((?:^|[^<])<<-?\s*)(\w+?)\s[\s\S]*?(?:\r?\n|\r)\2/,lookbehind:!0,greedy:!0,inside:r},{pattern:/((?:^|[^<])<<-?\s*)(["'])(\w+)\2\s[\s\S]*?(?:\r?\n|\r)\3/,lookbehind:!0,greedy:!0,inside:{bash:n}},{pattern:/(^|[^\\](?:\\\\)*)(["'])(?:\\[\s\S]|\$\([^)]+\)|\$(?!\()|`[^`]+`|(?!\2)[^\\`$])*\2/,lookbehind:!0,greedy:!0,inside:r}],environment:{pattern:RegExp("\\$?"+t),alias:"constant"},variable:r.variable,function:{pattern:/(^|[\s;|&]|[<>]\()(?:add|apropos|apt|aptitude|apt-cache|apt-get|aspell|automysqlbackup|awk|basename|bash|bc|bconsole|bg|bzip2|cal|cat|cfdisk|chgrp|chkconfig|chmod|chown|chroot|cksum|clear|cmp|column|comm|composer|cp|cron|crontab|csplit|curl|cut|date|dc|dd|ddrescue|debootstrap|df|diff|diff3|dig|dir|dircolors|dirname|dirs|dmesg|du|egrep|eject|env|ethtool|expand|expect|expr|fdformat|fdisk|fg|fgrep|file|find|fmt|fold|format|free|fsck|ftp|fuser|gawk|git|gparted|grep|groupadd|groupdel|groupmod|groups|grub-mkconfig|gzip|halt|head|hg|history|host|hostname|htop|iconv|id|ifconfig|ifdown|ifup|import|install|ip|jobs|join|kill|killall|less|link|ln|locate|logname|logrotate|look|lpc|lpr|lprint|lprintd|lprintq|lprm|ls|lsof|lynx|make|man|mc|mdadm|mkconfig|mkdir|mke2fs|mkfifo|mkfs|mkisofs|mknod|mkswap|mmv|more|most|mount|mtools|mtr|mutt|mv|nano|nc|netstat|nice|nl|nohup|notify-send|npm|nslookup|op|open|parted|passwd|paste|pathchk|ping|pkill|pnpm|popd|pr|printcap|printenv|ps|pushd|pv|quota|quotacheck|quotactl|ram|rar|rcp|reboot|remsync|rename|renice|rev|rm|rmdir|rpm|rsync|scp|screen|sdiff|sed|sendmail|seq|service|sftp|sh|shellcheck|shuf|shutdown|sleep|slocate|sort|split|ssh|stat|strace|su|sudo|sum|suspend|swapon|sync|tac|tail|tar|tee|time|timeout|top|touch|tr|traceroute|tsort|tty|umount|uname|unexpand|uniq|units|unrar|unshar|unzip|update-grub|uptime|useradd|userdel|usermod|users|uudecode|uuencode|v|vdir|vi|vim|virsh|vmstat|wait|watch|wc|wget|whereis|which|who|whoami|write|xargs|xdg-open|yarn|yes|zenity|zip|zsh|zypper)(?=$|[)\s;|&])/,lookbehind:!0},keyword:{pattern:/(^|[\s;|&]|[<>]\()(?:if|then|else|elif|fi|for|while|in|case|esac|function|select|do|done|until)(?=$|[)\s;|&])/,lookbehind:!0},builtin:{pattern:/(^|[\s;|&]|[<>]\()(?:\.|:|break|cd|continue|eval|exec|exit|export|getopts|hash|pwd|readonly|return|shift|test|times|trap|umask|unset|alias|bind|builtin|caller|command|declare|echo|enable|help|let|local|logout|mapfile|printf|read|readarray|source|type|typeset|ulimit|unalias|set|shopt)(?=$|[)\s;|&])/,lookbehind:!0,alias:"class-name"},boolean:{pattern:/(^|[\s;|&]|[<>]\()(?:true|false)(?=$|[)\s;|&])/,lookbehind:!0},"file-descriptor":{pattern:/\B&\d\b/,alias:"important"},operator:{pattern:/\d?<>|>\||\+=|==?|!=?|=~|<<[<-]?|[&\d]?>>|\d?[<>]&?|&[>&]?|\|[&|]?|<=?|>=?/,inside:{"file-descriptor":{pattern:/^\d/,alias:"important"}}},punctuation:/\$?\(\(?|\)\)?|\.\.|[{}[\];\\]/,number:{pattern:/(^|\s)(?:[1-9]\d*|0)(?:[.,]\d+)?\b/,lookbehind:!0}},n.inside=e.languages.bash;for(var o=["comment","function-name","for-or-select","assign-left","string","environment","function","keyword","builtin","boolean","file-descriptor","operator","punctuation","number"],a=r.variable[1].inside,i=0;i<o.length;i++)a[o[i]]=e.languages.bash[o[i]];e.languages.shell=e.languages.bash}(i),i.languages.clike={comment:[{pattern:/(^|[^\\])\/\*[\s\S]*?(?:\*\/|$)/,lookbehind:!0,greedy:!0},{pattern:/(^|[^\\:])\/\/.*/,lookbehind:!0,greedy:!0}],string:{pattern:/(["'])(?:\\(?:\r\n|[\s\S])|(?!\1)[^\\\r\n])*\1/,greedy:!0},"class-name":{pattern:/(\b(?:class|interface|extends|implements|trait|instanceof|new)\s+|\bcatch\s+\()[\w.\\]+/i,lookbehind:!0,inside:{punctuation:/[.\\]/}},keyword:/\b(?:if|else|while|do|for|return|in|instanceof|function|new|try|throw|catch|finally|null|break|continue)\b/,boolean:/\b(?:true|false)\b/,function:/\w+(?=\()/,number:/\b0x[\da-f]+\b|(?:\b\d+(?:\.\d*)?|\B\.\d+)(?:e[+-]?\d+)?/i,operator:/[<>]=?|[!=]=?=?|--?|\+\+?|&&?|\|\|?|[?*/~^%]/,punctuation:/[{}[\];(),.:]/},i.languages.c=i.languages.extend("clike",{comment:{pattern:/\/\/(?:[^\r\n\\]|\\(?:\r\n?|\n|(?![\r\n])))*|\/\*[\s\S]*?(?:\*\/|$)/,greedy:!0},"class-name":{pattern:/(\b(?:enum|struct)\s+(?:__attribute__\s*\(\([\s\S]*?\)\)\s*)?)\w+|\b[a-z]\w*_t\b/,lookbehind:!0},keyword:/\b(?:__attribute__|_Alignas|_Alignof|_Atomic|_Bool|_Complex|_Generic|_Imaginary|_Noreturn|_Static_assert|_Thread_local|asm|typeof|inline|auto|break|case|char|const|continue|default|do|double|else|enum|extern|float|for|goto|if|int|long|register|return|short|signed|sizeof|static|struct|switch|typedef|union|unsigned|void|volatile|while)\b/,function:/[a-z_]\w*(?=\s*\()/i,number:/(?:\b0x(?:[\da-f]+(?:\.[\da-f]*)?|\.[\da-f]+)(?:p[+-]?\d+)?|(?:\b\d+(?:\.\d*)?|\B\.\d+)(?:e[+-]?\d+)?)[ful]{0,4}/i,operator:/>>=?|<<=?|->|([-+&|:])\1|[?:~]|[-+*/%&|^!=<>]=?/}),i.languages.insertBefore("c","string",{macro:{pattern:/(^\s*)#\s*[a-z](?:[^\r\n\\/]|\/(?!\*)|\/\*(?:[^*]|\*(?!\/))*\*\/|\\(?:\r\n|[\s\S]))*/im,lookbehind:!0,greedy:!0,alias:"property",inside:{string:[{pattern:/^(#\s*include\s*)<[^>]+>/,lookbehind:!0},i.languages.c.string],comment:i.languages.c.comment,"macro-name":[{pattern:/(^#\s*define\s+)\w+\b(?!\()/i,lookbehind:!0},{pattern:/(^#\s*define\s+)\w+\b(?=\()/i,lookbehind:!0,alias:"function"}],directive:{pattern:/^(#\s*)[a-z]+/,lookbehind:!0,alias:"keyword"},"directive-hash":/^#/,punctuation:/##|\\(?=[\r\n])/,expression:{pattern:/\S[\s\S]*/,inside:i.languages.c}}},constant:/\b(?:__FILE__|__LINE__|__DATE__|__TIME__|__TIMESTAMP__|__func__|EOF|NULL|SEEK_CUR|SEEK_END|SEEK_SET|stdin|stdout|stderr)\b/}),delete i.languages.c.boolean,function(e){var t=/\b(?:alignas|alignof|asm|auto|bool|break|case|catch|char|char8_t|char16_t|char32_t|class|compl|concept|const|consteval|constexpr|constinit|const_cast|continue|co_await|co_return|co_yield|decltype|default|delete|do|double|dynamic_cast|else|enum|explicit|export|extern|float|for|friend|goto|if|inline|int|int8_t|int16_t|int32_t|int64_t|uint8_t|uint16_t|uint32_t|uint64_t|long|mutable|namespace|new|noexcept|nullptr|operator|private|protected|public|register|reinterpret_cast|requires|return|short|signed|sizeof|static|static_assert|static_cast|struct|switch|template|this|thread_local|throw|try|typedef|typeid|typename|union|unsigned|using|virtual|void|volatile|wchar_t|while)\b/;e.languages.cpp=e.languages.extend("c",{"class-name":[{pattern:RegExp(/(\b(?:class|concept|enum|struct|typename)\s+)(?!<keyword>)\w+/.source.replace(/<keyword>/g,(function(){return t.source}))),lookbehind:!0},/\b[A-Z]\w*(?=\s*::\s*\w+\s*\()/,/\b[A-Z_]\w*(?=\s*::\s*~\w+\s*\()/i,/\w+(?=\s*<(?:[^<>]|<(?:[^<>]|<[^<>]*>)*>)*>\s*::\s*\w+\s*\()/],keyword:t,number:{pattern:/(?:\b0b[01']+|\b0x(?:[\da-f']+(?:\.[\da-f']*)?|\.[\da-f']+)(?:p[+-]?[\d']+)?|(?:\b[\d']+(?:\.[\d']*)?|\B\.[\d']+)(?:e[+-]?[\d']+)?)[ful]{0,4}/i,greedy:!0},operator:/>>=?|<<=?|->|([-+&|:])\1|[?:~]|<=>|[-+*/%&|^!=<>]=?|\b(?:and|and_eq|bitand|bitor|not|not_eq|or|or_eq|xor|xor_eq)\b/,boolean:/\b(?:true|false)\b/}),e.languages.insertBefore("cpp","string",{"raw-string":{pattern:/R"([^()\\ ]{0,16})\([\s\S]*?\)\1"/,alias:"string",greedy:!0}}),e.languages.insertBefore("cpp","class-name",{"base-clause":{pattern:/(\b(?:class|struct)\s+\w+\s*:\s*)[^;{}"'\s]+(?:\s+[^;{}"'\s]+)*(?=\s*[;{])/,lookbehind:!0,greedy:!0,inside:e.languages.extend("cpp",{})}}),e.languages.insertBefore("inside","operator",{"class-name":/\b[a-z_]\w*\b(?!\s*::)/i},e.languages.cpp["base-clause"])}(i),function(e){var t=/("|')(?:\\(?:\r\n|[\s\S])|(?!\1)[^\\\r\n])*\1/;e.languages.css={comment:/\/\*[\s\S]*?\*\//,atrule:{pattern:/@[\w-](?:[^;{\s]|\s+(?![\s{]))*(?:;|(?=\s*\{))/,inside:{rule:/^@[\w-]+/,"selector-function-argument":{pattern:/(\bselector\s*\(\s*(?![\s)]))(?:[^()\s]|\s+(?![\s)])|\((?:[^()]|\([^()]*\))*\))+(?=\s*\))/,lookbehind:!0,alias:"selector"},keyword:{pattern:/(^|[^\w-])(?:and|not|only|or)(?![\w-])/,lookbehind:!0}}},url:{pattern:RegExp("\\burl\\((?:"+t.source+"|"+/(?:[^\\\r\n()"']|\\[\s\S])*/.source+")\\)","i"),greedy:!0,inside:{function:/^url/i,punctuation:/^\(|\)$/,string:{pattern:RegExp("^"+t.source+"$"),alias:"url"}}},selector:RegExp("[^{}\\s](?:[^{};\"'\\s]|\\s+(?![\\s{])|"+t.source+")*(?=\\s*\\{)"),string:{pattern:t,greedy:!0},property:/(?!\s)[-_a-z\xA0-\uFFFF](?:(?!\s)[-\w\xA0-\uFFFF])*(?=\s*:)/i,important:/!important\b/i,function:/[-a-z0-9]+(?=\()/i,punctuation:/[(){};:,]/},e.languages.css.atrule.inside.rest=e.languages.css;var n=e.languages.markup;n&&(n.tag.addInlined("style","css"),e.languages.insertBefore("inside","attr-value",{"style-attr":{pattern:/(^|["'\s])style\s*=\s*(?:"[^"]*"|'[^']*')/i,lookbehind:!0,inside:{"attr-value":{pattern:/=\s*(?:"[^"]*"|'[^']*'|[^\s'">=]+)/,inside:{style:{pattern:/(["'])[\s\S]+(?=["']$)/,lookbehind:!0,alias:"language-css",inside:e.languages.css},punctuation:[{pattern:/^=/,alias:"attr-equals"},/"|'/]}},"attr-name":/^style/i}}},n.tag))}(i),function(e){var t,n=/("|')(?:\\(?:\r\n|[\s\S])|(?!\1)[^\\\r\n])*\1/;e.languages.css.selector={pattern:e.languages.css.selector,inside:t={"pseudo-element":/:(?:after|before|first-letter|first-line|selection)|::[-\w]+/,"pseudo-class":/:[-\w]+/,class:/\.[-\w]+/,id:/#[-\w]+/,attribute:{pattern:RegExp("\\[(?:[^[\\]\"']|"+n.source+")*\\]"),greedy:!0,inside:{punctuation:/^\[|\]$/,"case-sensitivity":{pattern:/(\s)[si]$/i,lookbehind:!0,alias:"keyword"},namespace:{pattern:/^(\s*)(?:(?!\s)[-*\w\xA0-\uFFFF])*\|(?!=)/,lookbehind:!0,inside:{punctuation:/\|$/}},"attr-name":{pattern:/^(\s*)(?:(?!\s)[-\w\xA0-\uFFFF])+/,lookbehind:!0},"attr-value":[n,{pattern:/(=\s*)(?:(?!\s)[-\w\xA0-\uFFFF])+(?=\s*$)/,lookbehind:!0}],operator:/[|~*^$]?=/}},"n-th":[{pattern:/(\(\s*)[+-]?\d*[\dn](?:\s*[+-]\s*\d+)?(?=\s*\))/,lookbehind:!0,inside:{number:/[\dn]+/,operator:/[+-]/}},{pattern:/(\(\s*)(?:even|odd)(?=\s*\))/i,lookbehind:!0}],combinator:/>|\+|~|\|\|/,punctuation:/[(),]/}},e.languages.css.atrule.inside["selector-function-argument"].inside=t,e.languages.insertBefore("css","property",{variable:{pattern:/(^|[^-\w\xA0-\uFFFF])--(?!\s)[-_a-z\xA0-\uFFFF](?:(?!\s)[-\w\xA0-\uFFFF])*/i,lookbehind:!0}});var r={pattern:/(\b\d+)(?:%|[a-z]+\b)/,lookbehind:!0},o={pattern:/(^|[^\w.-])-?(?:\d+(?:\.\d+)?|\.\d+)/,lookbehind:!0};e.languages.insertBefore("css","function",{operator:{pattern:/(\s)[+\-*\/](?=\s)/,lookbehind:!0},hexcode:{pattern:/\B#(?:[\da-f]{1,2}){3,4}\b/i,alias:"color"},color:[/\b(?:AliceBlue|AntiqueWhite|Aqua|Aquamarine|Azure|Beige|Bisque|Black|BlanchedAlmond|Blue|BlueViolet|Brown|BurlyWood|CadetBlue|Chartreuse|Chocolate|Coral|CornflowerBlue|Cornsilk|Crimson|Cyan|DarkBlue|DarkCyan|DarkGoldenRod|DarkGr[ae]y|DarkGreen|DarkKhaki|DarkMagenta|DarkOliveGreen|DarkOrange|DarkOrchid|DarkRed|DarkSalmon|DarkSeaGreen|DarkSlateBlue|DarkSlateGr[ae]y|DarkTurquoise|DarkViolet|DeepPink|DeepSkyBlue|DimGr[ae]y|DodgerBlue|FireBrick|FloralWhite|ForestGreen|Fuchsia|Gainsboro|GhostWhite|Gold|GoldenRod|Gr[ae]y|Green|GreenYellow|HoneyDew|HotPink|IndianRed|Indigo|Ivory|Khaki|Lavender|LavenderBlush|LawnGreen|LemonChiffon|LightBlue|LightCoral|LightCyan|LightGoldenRodYellow|LightGr[ae]y|LightGreen|LightPink|LightSalmon|LightSeaGreen|LightSkyBlue|LightSlateGr[ae]y|LightSteelBlue|LightYellow|Lime|LimeGreen|Linen|Magenta|Maroon|MediumAquaMarine|MediumBlue|MediumOrchid|MediumPurple|MediumSeaGreen|MediumSlateBlue|MediumSpringGreen|MediumTurquoise|MediumVioletRed|MidnightBlue|MintCream|MistyRose|Moccasin|NavajoWhite|Navy|OldLace|Olive|OliveDrab|Orange|OrangeRed|Orchid|PaleGoldenRod|PaleGreen|PaleTurquoise|PaleVioletRed|PapayaWhip|PeachPuff|Peru|Pink|Plum|PowderBlue|Purple|Red|RosyBrown|RoyalBlue|SaddleBrown|Salmon|SandyBrown|SeaGreen|SeaShell|Sienna|Silver|SkyBlue|SlateBlue|SlateGr[ae]y|Snow|SpringGreen|SteelBlue|Tan|Teal|Thistle|Tomato|Transparent|Turquoise|Violet|Wheat|White|WhiteSmoke|Yellow|YellowGreen)\b/i,{pattern:/\b(?:rgb|hsl)\(\s*\d{1,3}\s*,\s*\d{1,3}%?\s*,\s*\d{1,3}%?\s*\)\B|\b(?:rgb|hsl)a\(\s*\d{1,3}\s*,\s*\d{1,3}%?\s*,\s*\d{1,3}%?\s*,\s*(?:0|0?\.\d+|1)\s*\)\B/i,inside:{unit:r,number:o,function:/[\w-]+(?=\()/,punctuation:/[(),]/}}],entity:/\\[\da-f]{1,8}/i,unit:r,number:o})}(i),i.languages.javascript=i.languages.extend("clike",{"class-name":[i.languages.clike["class-name"],{pattern:/(^|[^$\w\xA0-\uFFFF])(?!\s)[_$A-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*(?=\.(?:prototype|constructor))/,lookbehind:!0}],keyword:[{pattern:/((?:^|})\s*)(?:catch|finally)\b/,lookbehind:!0},{pattern:/(^|[^.]|\.\.\.\s*)\b(?:as|async(?=\s*(?:function\b|\(|[$\w\xA0-\uFFFF]|$))|await|break|case|class|const|continue|debugger|default|delete|do|else|enum|export|extends|for|from|function|(?:get|set)(?=\s*[\[$\w\xA0-\uFFFF])|if|implements|import|in|instanceof|interface|let|new|null|of|package|private|protected|public|return|static|super|switch|this|throw|try|typeof|undefined|var|void|while|with|yield)\b/,lookbehind:!0}],function:/#?(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*(?=\s*(?:\.\s*(?:apply|bind|call)\s*)?\()/,number:/\b(?:(?:0[xX](?:[\dA-Fa-f](?:_[\dA-Fa-f])?)+|0[bB](?:[01](?:_[01])?)+|0[oO](?:[0-7](?:_[0-7])?)+)n?|(?:\d(?:_\d)?)+n|NaN|Infinity)\b|(?:\b(?:\d(?:_\d)?)+\.?(?:\d(?:_\d)?)*|\B\.(?:\d(?:_\d)?)+)(?:[Ee][+-]?(?:\d(?:_\d)?)+)?/,operator:/--|\+\+|\*\*=?|=>|&&=?|\|\|=?|[!=]==|<<=?|>>>?=?|[-+*/%&|^!=<>]=?|\.{3}|\?\?=?|\?\.?|[~:]/}),i.languages.javascript["class-name"][0].pattern=/(\b(?:class|interface|extends|implements|instanceof|new)\s+)[\w.\\]+/,i.languages.insertBefore("javascript","keyword",{regex:{pattern:/((?:^|[^$\w\xA0-\uFFFF."'\])\s]|\b(?:return|yield))\s*)\/(?:\[(?:[^\]\\\r\n]|\\.)*]|\\.|[^/\\\[\r\n])+\/[gimyus]{0,6}(?=(?:\s|\/\*(?:[^*]|\*(?!\/))*\*\/)*(?:$|[\r\n,.;:})\]]|\/\/))/,lookbehind:!0,greedy:!0,inside:{"regex-source":{pattern:/^(\/)[\s\S]+(?=\/[a-z]*$)/,lookbehind:!0,alias:"language-regex",inside:i.languages.regex},"regex-flags":/[a-z]+$/,"regex-delimiter":/^\/|\/$/}},"function-variable":{pattern:/#?(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*(?=\s*[=:]\s*(?:async\s*)?(?:\bfunction\b|(?:\((?:[^()]|\([^()]*\))*\)|(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*)\s*=>))/,alias:"function"},parameter:[{pattern:/(function(?:\s+(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*)?\s*\(\s*)(?!\s)(?:[^()\s]|\s+(?![\s)])|\([^()]*\))+(?=\s*\))/,lookbehind:!0,inside:i.languages.javascript},{pattern:/(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*(?=\s*=>)/i,inside:i.languages.javascript},{pattern:/(\(\s*)(?!\s)(?:[^()\s]|\s+(?![\s)])|\([^()]*\))+(?=\s*\)\s*=>)/,lookbehind:!0,inside:i.languages.javascript},{pattern:/((?:\b|\s|^)(?!(?:as|async|await|break|case|catch|class|const|continue|debugger|default|delete|do|else|enum|export|extends|finally|for|from|function|get|if|implements|import|in|instanceof|interface|let|new|null|of|package|private|protected|public|return|set|static|super|switch|this|throw|try|typeof|undefined|var|void|while|with|yield)(?![$\w\xA0-\uFFFF]))(?:(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*\s*)\(\s*|\]\s*\(\s*)(?!\s)(?:[^()\s]|\s+(?![\s)])|\([^()]*\))+(?=\s*\)\s*\{)/,lookbehind:!0,inside:i.languages.javascript}],constant:/\b[A-Z](?:[A-Z_]|\dx?)*\b/}),i.languages.insertBefore("javascript","string",{"template-string":{pattern:/`(?:\\[\s\S]|\${(?:[^{}]|{(?:[^{}]|{[^}]*})*})+}|(?!\${)[^\\`])*`/,greedy:!0,inside:{"template-punctuation":{pattern:/^`|`$/,alias:"string"},interpolation:{pattern:/((?:^|[^\\])(?:\\{2})*)\${(?:[^{}]|{(?:[^{}]|{[^}]*})*})+}/,lookbehind:!0,inside:{"interpolation-punctuation":{pattern:/^\${|}$/,alias:"punctuation"},rest:i.languages.javascript}},string:/[\s\S]+/}}}),i.languages.markup&&i.languages.markup.tag.addInlined("script","javascript"),i.languages.js=i.languages.javascript,function(e){var t=e.util.clone(e.languages.javascript);e.languages.jsx=e.languages.extend("markup",t),e.languages.jsx.tag.pattern=/<\/?(?:[\w.:-]+(?:\s+(?:[\w.:$-]+(?:=(?:"(?:\\[^]|[^\\"])*"|'(?:\\[^]|[^\\'])*'|[^\s{'">=]+|\{(?:\{(?:\{[^{}]*\}|[^{}])*\}|[^{}])+\}))?|\{\s*\.{3}\s*[a-z_$][\w$]*(?:\.[a-z_$][\w$]*)*\s*\}))*\s*\/?)?>/i,e.languages.jsx.tag.inside.tag.pattern=/^<\/?[^\s>\/]*/i,e.languages.jsx.tag.inside["attr-value"].pattern=/=(?!\{)(?:"(?:\\[^]|[^\\"])*"|'(?:\\[^]|[^\\'])*'|[^\s'">]+)/i,e.languages.jsx.tag.inside.tag.inside["class-name"]=/^[A-Z]\w*(?:\.[A-Z]\w*)*$/,e.languages.insertBefore("inside","attr-name",{spread:{pattern:/\{\s*\.{3}\s*[a-z_$][\w$]*(?:\.[a-z_$][\w$]*)*\s*\}/,inside:{punctuation:/\.{3}|[{}.]/,"attr-value":/\w+/}}},e.languages.jsx.tag),e.languages.insertBefore("inside","attr-value",{script:{pattern:/=(?:\{(?:\{(?:\{[^{}]*\}|[^{}])*\}|[^{}])+\})/i,inside:{"script-punctuation":{pattern:/^=(?={)/,alias:"punctuation"},rest:e.languages.jsx},alias:"language-javascript"}},e.languages.jsx.tag);var n=function(e){return e?"string"==typeof e?e:"string"==typeof e.content?e.content:e.content.map(n).join(""):""},r=function(t){for(var o=[],a=0;a<t.length;a++){var i=t[a],l=!1;if("string"!=typeof i&&("tag"===i.type&&i.content[0]&&"tag"===i.content[0].type?"</"===i.content[0].content[0].content?o.length>0&&o[o.length-1].tagName===n(i.content[0].content[1])&&o.pop():"/>"===i.content[i.content.length-1].content||o.push({tagName:n(i.content[0].content[1]),openedBraces:0}):o.length>0&&"punctuation"===i.type&&"{"===i.content?o[o.length-1].openedBraces++:o.length>0&&o[o.length-1].openedBraces>0&&"punctuation"===i.type&&"}"===i.content?o[o.length-1].openedBraces--:l=!0),(l||"string"==typeof i)&&o.length>0&&0===o[o.length-1].openedBraces){var u=n(i);a<t.length-1&&("string"==typeof t[a+1]||"plain-text"===t[a+1].type)&&(u+=n(t[a+1]),t.splice(a+1,1)),a>0&&("string"==typeof t[a-1]||"plain-text"===t[a-1].type)&&(u=n(t[a-1])+u,t.splice(a-1,1),a--),t[a]=new e.Token("plain-text",u,null,u)}i.content&&"string"!=typeof i.content&&r(i.content)}};e.hooks.add("after-tokenize",(function(e){"jsx"!==e.language&&"tsx"!==e.language||r(e.tokens)}))}(i),function(e){function t(e,t){return RegExp(e.replace(/<ID>/g,(function(){return/(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*/.source})),t)}e.languages.insertBefore("javascript","function-variable",{"method-variable":{pattern:RegExp("(\\.\\s*)"+e.languages.javascript["function-variable"].pattern.source),lookbehind:!0,alias:["function-variable","method","function","property-access"]}}),e.languages.insertBefore("javascript","function",{method:{pattern:RegExp("(\\.\\s*)"+e.languages.javascript.function.source),lookbehind:!0,alias:["function","property-access"]}}),e.languages.insertBefore("javascript","constant",{"known-class-name":[{pattern:/\b(?:(?:(?:Uint|Int)(?:8|16|32)|Uint8Clamped|Float(?:32|64))?Array|ArrayBuffer|BigInt|Boolean|DataView|Date|Error|Function|Intl|JSON|Math|Number|Object|Promise|Proxy|Reflect|RegExp|String|Symbol|(?:Weak)?(?:Set|Map)|WebAssembly)\b/,alias:"class-name"},{pattern:/\b(?:[A-Z]\w*)Error\b/,alias:"class-name"}]}),e.languages.insertBefore("javascript","keyword",{imports:{pattern:t(/(\bimport\b\s*)(?:<ID>(?:\s*,\s*(?:\*\s*as\s+<ID>|\{[^{}]*\}))?|\*\s*as\s+<ID>|\{[^{}]*\})(?=\s*\bfrom\b)/.source),lookbehind:!0,inside:e.languages.javascript},exports:{pattern:t(/(\bexport\b\s*)(?:\*(?:\s*as\s+<ID>)?(?=\s*\bfrom\b)|\{[^{}]*\})/.source),lookbehind:!0,inside:e.languages.javascript}}),e.languages.javascript.keyword.unshift({pattern:/\b(?:as|default|export|from|import)\b/,alias:"module"},{pattern:/\b(?:await|break|catch|continue|do|else|for|finally|if|return|switch|throw|try|while|yield)\b/,alias:"control-flow"},{pattern:/\bnull\b/,alias:["null","nil"]},{pattern:/\bundefined\b/,alias:"nil"}),e.languages.insertBefore("javascript","operator",{spread:{pattern:/\.{3}/,alias:"operator"},arrow:{pattern:/=>/,alias:"operator"}}),e.languages.insertBefore("javascript","punctuation",{"property-access":{pattern:t(/(\.\s*)#?<ID>/.source),lookbehind:!0},"maybe-class-name":{pattern:/(^|[^$\w\xA0-\uFFFF])[A-Z][$\w\xA0-\uFFFF]+/,lookbehind:!0},dom:{pattern:/\b(?:document|location|navigator|performance|(?:local|session)Storage|window)\b/,alias:"variable"},console:{pattern:/\bconsole(?=\s*\.)/,alias:"class-name"}});for(var n=["function","function-variable","method","method-variable","property-access"],r=0;r<n.length;r++){var o=n[r],a=e.languages.javascript[o];"RegExp"===e.util.type(a)&&(a=e.languages.javascript[o]={pattern:a});var i=a.inside||{};a.inside=i,i["maybe-class-name"]=/^[A-Z][\s\S]*/}}(i),function(e){var t=/#(?!\{).+/,n={pattern:/#\{[^}]+\}/,alias:"variable"};e.languages.coffeescript=e.languages.extend("javascript",{comment:t,string:[{pattern:/'(?:\\[\s\S]|[^\\'])*'/,greedy:!0},{pattern:/"(?:\\[\s\S]|[^\\"])*"/,greedy:!0,inside:{interpolation:n}}],keyword:/\b(?:and|break|by|catch|class|continue|debugger|delete|do|each|else|extend|extends|false|finally|for|if|in|instanceof|is|isnt|let|loop|namespace|new|no|not|null|of|off|on|or|own|return|super|switch|then|this|throw|true|try|typeof|undefined|unless|until|when|while|window|with|yes|yield)\b/,"class-member":{pattern:/@(?!\d)\w+/,alias:"variable"}}),e.languages.insertBefore("coffeescript","comment",{"multiline-comment":{pattern:/###[\s\S]+?###/,alias:"comment"},"block-regex":{pattern:/\/{3}[\s\S]*?\/{3}/,alias:"regex",inside:{comment:t,interpolation:n}}}),e.languages.insertBefore("coffeescript","string",{"inline-javascript":{pattern:/`(?:\\[\s\S]|[^\\`])*`/,inside:{delimiter:{pattern:/^`|`$/,alias:"punctuation"},script:{pattern:/[\s\S]+/,alias:"language-javascript",inside:e.languages.javascript}}},"multiline-string":[{pattern:/'''[\s\S]*?'''/,greedy:!0,alias:"string"},{pattern:/"""[\s\S]*?"""/,greedy:!0,alias:"string",inside:{interpolation:n}}]}),e.languages.insertBefore("coffeescript","keyword",{property:/(?!\d)\w+(?=\s*:(?!:))/}),delete e.languages.coffeescript["template-string"],e.languages.coffee=e.languages.coffeescript}(i),function(e){e.languages.diff={coord:[/^(?:\*{3}|-{3}|\+{3}).*$/m,/^@@.*@@$/m,/^\d.*$/m]};var t={"deleted-sign":"-","deleted-arrow":"<","inserted-sign":"+","inserted-arrow":">",unchanged:" ",diff:"!"};Object.keys(t).forEach((function(n){var r=t[n],o=[];/^\w+$/.test(n)||o.push(/\w+/.exec(n)[0]),"diff"===n&&o.push("bold"),e.languages.diff[n]={pattern:RegExp("^(?:["+r+"].*(?:\r\n?|\n|(?![\\s\\S])))+","m"),alias:o,inside:{line:{pattern:/(.)(?=[\s\S]).*(?:\r\n?|\n)?/,lookbehind:!0},prefix:{pattern:/[\s\S]/,alias:/\w+/.exec(n)[0]}}}})),Object.defineProperty(e.languages.diff,"PREFIXES",{value:t})}(i),i.languages.git={comment:/^#.*/m,deleted:/^[-\u2013].*/m,inserted:/^\+.*/m,string:/("|')(?:\\.|(?!\1)[^\\\r\n])*\1/m,command:{pattern:/^.*\$ git .*$/m,inside:{parameter:/\s--?\w+/m}},coord:/^@@.*@@$/m,"commit-sha1":/^commit \w{40}$/m},i.languages.go=i.languages.extend("clike",{string:{pattern:/(["'`])(?:\\[\s\S]|(?!\1)[^\\])*\1/,greedy:!0},keyword:/\b(?:break|case|chan|const|continue|default|defer|else|fallthrough|for|func|go(?:to)?|if|import|interface|map|package|range|return|select|struct|switch|type|var)\b/,boolean:/\b(?:_|iota|nil|true|false)\b/,number:/(?:\b0x[a-f\d]+|(?:\b\d+(?:\.\d*)?|\B\.\d+)(?:e[-+]?\d+)?)i?/i,operator:/[*\/%^!=]=?|\+[=+]?|-[=-]?|\|[=|]?|&(?:=|&|\^=?)?|>(?:>=?|=)?|<(?:<=?|=|-)?|:=|\.\.\./,builtin:/\b(?:bool|byte|complex(?:64|128)|error|float(?:32|64)|rune|string|u?int(?:8|16|32|64)?|uintptr|append|cap|close|complex|copy|delete|imag|len|make|new|panic|print(?:ln)?|real|recover)\b/}),delete i.languages.go["class-name"],i.languages.graphql={comment:/#.*/,description:{pattern:/(?:"""(?:[^"]|(?!""")")*"""|"(?:\\.|[^\\"\r\n])*")(?=\s*[a-z_])/i,greedy:!0,alias:"string",inside:{"language-markdown":{pattern:/(^"(?:"")?)(?!\1)[\s\S]+(?=\1$)/,lookbehind:!0,inside:i.languages.markdown}}},string:{pattern:/"""(?:[^"]|(?!""")")*"""|"(?:\\.|[^\\"\r\n])*"/,greedy:!0},number:/(?:\B-|\b)\d+(?:\.\d+)?(?:e[+-]?\d+)?\b/i,boolean:/\b(?:true|false)\b/,variable:/\$[a-z_]\w*/i,directive:{pattern:/@[a-z_]\w*/i,alias:"function"},"attr-name":{pattern:/[a-z_]\w*(?=\s*(?:\((?:[^()"]|"(?:\\.|[^\\"\r\n])*")*\))?:)/i,greedy:!0},"class-name":{pattern:/(\b(?:enum|implements|interface|on|scalar|type|union)\s+|&\s*)[a-zA-Z_]\w*/,lookbehind:!0},fragment:{pattern:/(\bfragment\s+|\.{3}\s*(?!on\b))[a-zA-Z_]\w*/,lookbehind:!0,alias:"function"},keyword:/\b(?:directive|enum|extend|fragment|implements|input|interface|mutation|on|query|repeatable|scalar|schema|subscription|type|union)\b/,operator:/[!=|&]|\.{3}/,punctuation:/[!(){}\[\]:=,]/,constant:/\b(?!ID\b)[A-Z][A-Z_\d]*\b/},function(e){function t(e,t){return"___"+e.toUpperCase()+t+"___"}Object.defineProperties(e.languages["markup-templating"]={},{buildPlaceholders:{value:function(n,r,o,a){if(n.language===r){var i=n.tokenStack=[];n.code=n.code.replace(o,(function(e){if("function"==typeof a&&!a(e))return e;for(var o,l=i.length;-1!==n.code.indexOf(o=t(r,l));)++l;return i[l]=e,o})),n.grammar=e.languages.markup}}},tokenizePlaceholders:{value:function(n,r){if(n.language===r&&n.tokenStack){n.grammar=e.languages[r];var o=0,a=Object.keys(n.tokenStack);!function i(l){for(var u=0;u<l.length&&!(o>=a.length);u++){var s=l[u];if("string"==typeof s||s.content&&"string"==typeof s.content){var c=a[o],d=n.tokenStack[c],f="string"==typeof s?s:s.content,p=t(r,c),m=f.indexOf(p);if(m>-1){++o;var h=f.substring(0,m),g=new e.Token(r,e.tokenize(d,n.grammar),"language-"+r,d),b=f.substring(m+p.length),y=[];h&&y.push.apply(y,i([h])),y.push(g),b&&y.push.apply(y,i([b])),"string"==typeof s?l.splice.apply(l,[u,1].concat(y)):s.content=y}}else s.content&&i(s.content)}return l}(n.tokens)}}}})}(i),function(e){e.languages.handlebars={comment:/\{\{![\s\S]*?\}\}/,delimiter:{pattern:/^\{\{\{?|\}\}\}?$/i,alias:"punctuation"},string:/(["'])(?:\\.|(?!\1)[^\\\r\n])*\1/,number:/\b0x[\dA-Fa-f]+\b|(?:\b\d+(?:\.\d*)?|\B\.\d+)(?:[Ee][+-]?\d+)?/,boolean:/\b(?:true|false)\b/,block:{pattern:/^(\s*(?:~\s*)?)[#\/]\S+?(?=\s*(?:~\s*)?$|\s)/i,lookbehind:!0,alias:"keyword"},brackets:{pattern:/\[[^\]]+\]/,inside:{punctuation:/\[|\]/,variable:/[\s\S]+/}},punctuation:/[!"#%&':()*+,.\/;<=>@\[\\\]^`{|}~]/,variable:/[^!"#%&'()*+,\/;<=>@\[\\\]^`{|}~\s]+/},e.hooks.add("before-tokenize",(function(t){e.languages["markup-templating"].buildPlaceholders(t,"handlebars",/\{\{\{[\s\S]+?\}\}\}|\{\{[\s\S]+?\}\}/g)})),e.hooks.add("after-tokenize",(function(t){e.languages["markup-templating"].tokenizePlaceholders(t,"handlebars")}))}(i),i.languages.json={property:{pattern:/"(?:\\.|[^\\"\r\n])*"(?=\s*:)/,greedy:!0},string:{pattern:/"(?:\\.|[^\\"\r\n])*"(?!\s*:)/,greedy:!0},comment:{pattern:/\/\/.*|\/\*[\s\S]*?(?:\*\/|$)/,greedy:!0},number:/-?\b\d+(?:\.\d+)?(?:e[+-]?\d+)?\b/i,punctuation:/[{}[\],]/,operator:/:/,boolean:/\b(?:true|false)\b/,null:{pattern:/\bnull\b/,alias:"keyword"}},i.languages.webmanifest=i.languages.json,i.languages.less=i.languages.extend("css",{comment:[/\/\*[\s\S]*?\*\//,{pattern:/(^|[^\\])\/\/.*/,lookbehind:!0}],atrule:{pattern:/@[\w-](?:\((?:[^(){}]|\([^(){}]*\))*\)|[^(){};\s]|\s+(?!\s))*?(?=\s*\{)/,inside:{punctuation:/[:()]/}},selector:{pattern:/(?:@\{[\w-]+\}|[^{};\s@])(?:@\{[\w-]+\}|\((?:[^(){}]|\([^(){}]*\))*\)|[^(){};@\s]|\s+(?!\s))*?(?=\s*\{)/,inside:{variable:/@+[\w-]+/}},property:/(?:@\{[\w-]+\}|[\w-])+(?:\+_?)?(?=\s*:)/i,operator:/[+\-*\/]/}),i.languages.insertBefore("less","property",{variable:[{pattern:/@[\w-]+\s*:/,inside:{punctuation:/:/}},/@@?[\w-]+/],"mixin-usage":{pattern:/([{;]\s*)[.#](?!\d)[\w-].*?(?=[(;])/,lookbehind:!0,alias:"function"}}),i.languages.makefile={comment:{pattern:/(^|[^\\])#(?:\\(?:\r\n|[\s\S])|[^\\\r\n])*/,lookbehind:!0},string:{pattern:/(["'])(?:\\(?:\r\n|[\s\S])|(?!\1)[^\\\r\n])*\1/,greedy:!0},builtin:/\.[A-Z][^:#=\s]+(?=\s*:(?!=))/,symbol:{pattern:/^(?:[^:=\s]|[ \t]+(?![\s:]))+(?=\s*:(?!=))/m,inside:{variable:/\$+(?:(?!\$)[^(){}:#=\s]+|(?=[({]))/}},variable:/\$+(?:(?!\$)[^(){}:#=\s]+|\([@*%<^+?][DF]\)|(?=[({]))/,keyword:[/-include\b|\b(?:define|else|endef|endif|export|ifn?def|ifn?eq|include|override|private|sinclude|undefine|unexport|vpath)\b/,{pattern:/(\()(?:addsuffix|abspath|and|basename|call|dir|error|eval|file|filter(?:-out)?|findstring|firstword|flavor|foreach|guile|if|info|join|lastword|load|notdir|or|origin|patsubst|realpath|shell|sort|strip|subst|suffix|value|warning|wildcard|word(?:s|list)?)(?=[ \t])/,lookbehind:!0}],operator:/(?:::|[?:+!])?=|[|@]/,punctuation:/[:;(){}]/},function(e){var t=/(?:\\.|[^\\\n\r]|(?:\n|\r\n?)(?!\n|\r\n?))/.source;function n(e){return e=e.replace(/<inner>/g,(function(){return t})),RegExp(/((?:^|[^\\])(?:\\{2})*)/.source+"(?:"+e+")")}var r=/(?:\\.|``(?:[^`\r\n]|`(?!`))+``|`[^`\r\n]+`|[^\\|\r\n`])+/.source,o=/\|?__(?:\|__)+\|?(?:(?:\n|\r\n?)|(?![\s\S]))/.source.replace(/__/g,(function(){return r})),a=/\|?[ \t]*:?-{3,}:?[ \t]*(?:\|[ \t]*:?-{3,}:?[ \t]*)+\|?(?:\n|\r\n?)/.source;e.languages.markdown=e.languages.extend("markup",{}),e.languages.insertBefore("markdown","prolog",{"front-matter-block":{pattern:/(^(?:\s*[\r\n])?)---(?!.)[\s\S]*?[\r\n]---(?!.)/,lookbehind:!0,greedy:!0,inside:{punctuation:/^---|---$/,"font-matter":{pattern:/\S+(?:\s+\S+)*/,alias:["yaml","language-yaml"],inside:e.languages.yaml}}},blockquote:{pattern:/^>(?:[\t ]*>)*/m,alias:"punctuation"},table:{pattern:RegExp("^"+o+a+"(?:"+o+")*","m"),inside:{"table-data-rows":{pattern:RegExp("^("+o+a+")(?:"+o+")*$"),lookbehind:!0,inside:{"table-data":{pattern:RegExp(r),inside:e.languages.markdown},punctuation:/\|/}},"table-line":{pattern:RegExp("^("+o+")"+a+"$"),lookbehind:!0,inside:{punctuation:/\||:?-{3,}:?/}},"table-header-row":{pattern:RegExp("^"+o+"$"),inside:{"table-header":{pattern:RegExp(r),alias:"important",inside:e.languages.markdown},punctuation:/\|/}}}},code:[{pattern:/((?:^|\n)[ \t]*\n|(?:^|\r\n?)[ \t]*\r\n?)(?: {4}|\t).+(?:(?:\n|\r\n?)(?: {4}|\t).+)*/,lookbehind:!0,alias:"keyword"},{pattern:/``.+?``|`[^`\r\n]+`/,alias:"keyword"},{pattern:/^```[\s\S]*?^```$/m,greedy:!0,inside:{"code-block":{pattern:/^(```.*(?:\n|\r\n?))[\s\S]+?(?=(?:\n|\r\n?)^```$)/m,lookbehind:!0},"code-language":{pattern:/^(```).+/,lookbehind:!0},punctuation:/```/}}],title:[{pattern:/\S.*(?:\n|\r\n?)(?:==+|--+)(?=[ \t]*$)/m,alias:"important",inside:{punctuation:/==+$|--+$/}},{pattern:/(^\s*)#.+/m,lookbehind:!0,alias:"important",inside:{punctuation:/^#+|#+$/}}],hr:{pattern:/(^\s*)([*-])(?:[\t ]*\2){2,}(?=\s*$)/m,lookbehind:!0,alias:"punctuation"},list:{pattern:/(^\s*)(?:[*+-]|\d+\.)(?=[\t ].)/m,lookbehind:!0,alias:"punctuation"},"url-reference":{pattern:/!?\[[^\]]+\]:[\t ]+(?:\S+|<(?:\\.|[^>\\])+>)(?:[\t ]+(?:"(?:\\.|[^"\\])*"|'(?:\\.|[^'\\])*'|\((?:\\.|[^)\\])*\)))?/,inside:{variable:{pattern:/^(!?\[)[^\]]+/,lookbehind:!0},string:/(?:"(?:\\.|[^"\\])*"|'(?:\\.|[^'\\])*'|\((?:\\.|[^)\\])*\))$/,punctuation:/^[\[\]!:]|[<>]/},alias:"url"},bold:{pattern:n(/\b__(?:(?!_)<inner>|_(?:(?!_)<inner>)+_)+__\b|\*\*(?:(?!\*)<inner>|\*(?:(?!\*)<inner>)+\*)+\*\*/.source),lookbehind:!0,greedy:!0,inside:{content:{pattern:/(^..)[\s\S]+(?=..$)/,lookbehind:!0,inside:{}},punctuation:/\*\*|__/}},italic:{pattern:n(/\b_(?:(?!_)<inner>|__(?:(?!_)<inner>)+__)+_\b|\*(?:(?!\*)<inner>|\*\*(?:(?!\*)<inner>)+\*\*)+\*/.source),lookbehind:!0,greedy:!0,inside:{content:{pattern:/(^.)[\s\S]+(?=.$)/,lookbehind:!0,inside:{}},punctuation:/[*_]/}},strike:{pattern:n(/(~~?)(?:(?!~)<inner>)+?\2/.source),lookbehind:!0,greedy:!0,inside:{content:{pattern:/(^~~?)[\s\S]+(?=\1$)/,lookbehind:!0,inside:{}},punctuation:/~~?/}},url:{pattern:n(/!?\[(?:(?!\])<inner>)+\](?:\([^\s)]+(?:[\t ]+"(?:\\.|[^"\\])*")?\)|[ \t]?\[(?:(?!\])<inner>)+\])/.source),lookbehind:!0,greedy:!0,inside:{operator:/^!/,content:{pattern:/(^\[)[^\]]+(?=\])/,lookbehind:!0,inside:{}},variable:{pattern:/(^\][ \t]?\[)[^\]]+(?=\]$)/,lookbehind:!0},url:{pattern:/(^\]\()[^\s)]+/,lookbehind:!0},string:{pattern:/(^[ \t]+)"(?:\\.|[^"\\])*"(?=\)$)/,lookbehind:!0}}}}),["url","bold","italic","strike"].forEach((function(t){["url","bold","italic","strike"].forEach((function(n){t!==n&&(e.languages.markdown[t].inside.content.inside[n]=e.languages.markdown[n])}))})),e.hooks.add("after-tokenize",(function(e){"markdown"!==e.language&&"md"!==e.language||function e(t){if(t&&"string"!=typeof t)for(var n=0,r=t.length;n<r;n++){var o=t[n];if("code"===o.type){var a=o.content[1],i=o.content[3];if(a&&i&&"code-language"===a.type&&"code-block"===i.type&&"string"==typeof a.content){var l=a.content.replace(/\b#/g,"sharp").replace(/\b\+\+/g,"pp"),u="language-"+(l=(/[a-z][\w-]*/i.exec(l)||[""])[0].toLowerCase());i.alias?"string"==typeof i.alias?i.alias=[i.alias,u]:i.alias.push(u):i.alias=[u]}}else e(o.content)}}(e.tokens)})),e.hooks.add("wrap",(function(t){if("code-block"===t.type){for(var n="",r=0,o=t.classes.length;r<o;r++){var a=t.classes[r],i=/language-(.+)/.exec(a);if(i){n=i[1];break}}var l=e.languages[n];if(l){var u=t.content.replace(/&lt;/g,"<").replace(/&amp;/g,"&");t.content=e.highlight(u,l,n)}else if(n&&"none"!==n&&e.plugins.autoloader){var s="md-"+(new Date).valueOf()+"-"+Math.floor(1e16*Math.random());t.attributes.id=s,e.plugins.autoloader.loadLanguages(n,(function(){var t=document.getElementById(s);t&&(t.innerHTML=e.highlight(t.textContent,e.languages[n],n))}))}}})),e.languages.md=e.languages.markdown}(i),i.languages.objectivec=i.languages.extend("c",{string:/("|')(?:\\(?:\r\n|[\s\S])|(?!\1)[^\\\r\n])*\1|@"(?:\\(?:\r\n|[\s\S])|[^"\\\r\n])*"/,keyword:/\b(?:asm|typeof|inline|auto|break|case|char|const|continue|default|do|double|else|enum|extern|float|for|goto|if|int|long|register|return|short|signed|sizeof|static|struct|switch|typedef|union|unsigned|void|volatile|while|in|self|super)\b|(?:@interface|@end|@implementation|@protocol|@class|@public|@protected|@private|@property|@try|@catch|@finally|@throw|@synthesize|@dynamic|@selector)\b/,operator:/-[->]?|\+\+?|!=?|<<?=?|>>?=?|==?|&&?|\|\|?|[~^%?*\/@]/}),delete i.languages.objectivec["class-name"],i.languages.objc=i.languages.objectivec,i.languages.ocaml={comment:/\(\*[\s\S]*?\*\)/,string:[{pattern:/"(?:\\.|[^\\\r\n"])*"/,greedy:!0},{pattern:/(['`])(?:\\(?:\d+|x[\da-f]+|.)|(?!\1)[^\\\r\n])\1/i,greedy:!0}],number:/\b(?:0x[\da-f][\da-f_]+|(?:0[bo])?\d[\d_]*(?:\.[\d_]*)?(?:e[+-]?[\d_]+)?)/i,directive:{pattern:/\B#\w+/,alias:"important"},label:{pattern:/\B~\w+/,alias:"function"},"type-variable":{pattern:/\B'\w+/,alias:"function"},variant:{pattern:/`\w+/,alias:"variable"},module:{pattern:/\b[A-Z]\w+/,alias:"variable"},keyword:/\b(?:as|assert|begin|class|constraint|do|done|downto|else|end|exception|external|for|fun|function|functor|if|in|include|inherit|initializer|lazy|let|match|method|module|mutable|new|nonrec|object|of|open|private|rec|sig|struct|then|to|try|type|val|value|virtual|when|where|while|with)\b/,boolean:/\b(?:false|true)\b/,operator:/:=|[=<>@^|&+\-*\/$%!?~][!$%&*+\-.\/:<=>?@^|~]*|\b(?:and|asr|land|lor|lsl|lsr|lxor|mod|or)\b/,punctuation:/[(){}\[\]|.,:;]|\b_\b/},i.languages.python={comment:{pattern:/(^|[^\\])#.*/,lookbehind:!0},"string-interpolation":{pattern:/(?:f|rf|fr)(?:("""|''')[\s\S]*?\1|("|')(?:\\.|(?!\2)[^\\\r\n])*\2)/i,greedy:!0,inside:{interpolation:{pattern:/((?:^|[^{])(?:{{)*){(?!{)(?:[^{}]|{(?!{)(?:[^{}]|{(?!{)(?:[^{}])+})+})+}/,lookbehind:!0,inside:{"format-spec":{pattern:/(:)[^:(){}]+(?=}$)/,lookbehind:!0},"conversion-option":{pattern:/![sra](?=[:}]$)/,alias:"punctuation"},rest:null}},string:/[\s\S]+/}},"triple-quoted-string":{pattern:/(?:[rub]|rb|br)?("""|''')[\s\S]*?\1/i,greedy:!0,alias:"string"},string:{pattern:/(?:[rub]|rb|br)?("|')(?:\\.|(?!\1)[^\\\r\n])*\1/i,greedy:!0},function:{pattern:/((?:^|\s)def[ \t]+)[a-zA-Z_]\w*(?=\s*\()/g,lookbehind:!0},"class-name":{pattern:/(\bclass\s+)\w+/i,lookbehind:!0},decorator:{pattern:/(^\s*)@\w+(?:\.\w+)*/im,lookbehind:!0,alias:["annotation","punctuation"],inside:{punctuation:/\./}},keyword:/\b(?:and|as|assert|async|await|break|class|continue|def|del|elif|else|except|exec|finally|for|from|global|if|import|in|is|lambda|nonlocal|not|or|pass|print|raise|return|try|while|with|yield)\b/,builtin:/\b(?:__import__|abs|all|any|apply|ascii|basestring|bin|bool|buffer|bytearray|bytes|callable|chr|classmethod|cmp|coerce|compile|complex|delattr|dict|dir|divmod|enumerate|eval|execfile|file|filter|float|format|frozenset|getattr|globals|hasattr|hash|help|hex|id|input|int|intern|isinstance|issubclass|iter|len|list|locals|long|map|max|memoryview|min|next|object|oct|open|ord|pow|property|range|raw_input|reduce|reload|repr|reversed|round|set|setattr|slice|sorted|staticmethod|str|sum|super|tuple|type|unichr|unicode|vars|xrange|zip)\b/,boolean:/\b(?:True|False|None)\b/,number:/(?:\b(?=\d)|\B(?=\.))(?:0[bo])?(?:(?:\d|0x[\da-f])[\da-f]*(?:\.\d*)?|\.\d+)(?:e[+-]?\d+)?j?\b/i,operator:/[-+%=]=?|!=|\*\*?=?|\/\/?=?|<[<=>]?|>[=>]?|[&|^~]/,punctuation:/[{}[\];(),.:]/},i.languages.python["string-interpolation"].inside.interpolation.inside.rest=i.languages.python,i.languages.py=i.languages.python,i.languages.reason=i.languages.extend("clike",{string:{pattern:/"(?:\\(?:\r\n|[\s\S])|[^\\\r\n"])*"/,greedy:!0},"class-name":/\b[A-Z]\w*/,keyword:/\b(?:and|as|assert|begin|class|constraint|do|done|downto|else|end|exception|external|for|fun|function|functor|if|in|include|inherit|initializer|lazy|let|method|module|mutable|new|nonrec|object|of|open|or|private|rec|sig|struct|switch|then|to|try|type|val|virtual|when|while|with)\b/,operator:/\.{3}|:[:=]|\|>|->|=(?:==?|>)?|<=?|>=?|[|^?'#!~`]|[+\-*\/]\.?|\b(?:mod|land|lor|lxor|lsl|lsr|asr)\b/}),i.languages.insertBefore("reason","class-name",{character:{pattern:/'(?:\\x[\da-f]{2}|\\o[0-3][0-7][0-7]|\\\d{3}|\\.|[^'\\\r\n])'/,alias:"string"},constructor:{pattern:/\b[A-Z]\w*\b(?!\s*\.)/,alias:"variable"},label:{pattern:/\b[a-z]\w*(?=::)/,alias:"symbol"}}),delete i.languages.reason.function,function(e){e.languages.sass=e.languages.extend("css",{comment:{pattern:/^([ \t]*)\/[\/*].*(?:(?:\r?\n|\r)\1[ \t].+)*/m,lookbehind:!0}}),e.languages.insertBefore("sass","atrule",{"atrule-line":{pattern:/^(?:[ \t]*)[@+=].+/m,inside:{atrule:/(?:@[\w-]+|[+=])/m}}}),delete e.languages.sass.atrule;var t=/\$[-\w]+|#\{\$[-\w]+\}/,n=[/[+*\/%]|[=!]=|<=?|>=?|\b(?:and|or|not)\b/,{pattern:/(\s+)-(?=\s)/,lookbehind:!0}];e.languages.insertBefore("sass","property",{"variable-line":{pattern:/^[ \t]*\$.+/m,inside:{punctuation:/:/,variable:t,operator:n}},"property-line":{pattern:/^[ \t]*(?:[^:\s]+ *:.*|:[^:\s].*)/m,inside:{property:[/[^:\s]+(?=\s*:)/,{pattern:/(:)[^:\s]+/,lookbehind:!0}],punctuation:/:/,variable:t,operator:n,important:e.languages.sass.important}}}),delete e.languages.sass.property,delete e.languages.sass.important,e.languages.insertBefore("sass","punctuation",{selector:{pattern:/([ \t]*)\S(?:,[^,\r\n]+|[^,\r\n]*)(?:,[^,\r\n]+)*(?:,(?:\r?\n|\r)\1[ \t]+\S(?:,[^,\r\n]+|[^,\r\n]*)(?:,[^,\r\n]+)*)*/,lookbehind:!0}})}(i),i.languages.scss=i.languages.extend("css",{comment:{pattern:/(^|[^\\])(?:\/\*[\s\S]*?\*\/|\/\/.*)/,lookbehind:!0},atrule:{pattern:/@[\w-](?:\([^()]+\)|[^()\s]|\s+(?!\s))*?(?=\s+[{;])/,inside:{rule:/@[\w-]+/}},url:/(?:[-a-z]+-)?url(?=\()/i,selector:{pattern:/(?=\S)[^@;{}()]?(?:[^@;{}()\s]|\s+(?!\s)|#\{\$[-\w]+\})+(?=\s*\{(?:\}|\s|[^}][^:{}]*[:{][^}]+))/m,inside:{parent:{pattern:/&/,alias:"important"},placeholder:/%[-\w]+/,variable:/\$[-\w]+|#\{\$[-\w]+\}/}},property:{pattern:/(?:[-\w]|\$[-\w]|#\{\$[-\w]+\})+(?=\s*:)/,inside:{variable:/\$[-\w]+|#\{\$[-\w]+\}/}}}),i.languages.insertBefore("scss","atrule",{keyword:[/@(?:if|else(?: if)?|forward|for|each|while|import|use|extend|debug|warn|mixin|include|function|return|content)\b/i,{pattern:/( +)(?:from|through)(?= )/,lookbehind:!0}]}),i.languages.insertBefore("scss","important",{variable:/\$[-\w]+|#\{\$[-\w]+\}/}),i.languages.insertBefore("scss","function",{"module-modifier":{pattern:/\b(?:as|with|show|hide)\b/i,alias:"keyword"},placeholder:{pattern:/%[-\w]+/,alias:"selector"},statement:{pattern:/\B!(?:default|optional)\b/i,alias:"keyword"},boolean:/\b(?:true|false)\b/,null:{pattern:/\bnull\b/,alias:"keyword"},operator:{pattern:/(\s)(?:[-+*\/%]|[=!]=|<=?|>=?|and|or|not)(?=\s)/,lookbehind:!0}}),i.languages.scss.atrule.inside.rest=i.languages.scss,i.languages.sql={comment:{pattern:/(^|[^\\])(?:\/\*[\s\S]*?\*\/|(?:--|\/\/|#).*)/,lookbehind:!0},variable:[{pattern:/@(["'`])(?:\\[\s\S]|(?!\1)[^\\])+\1/,greedy:!0},/@[\w.$]+/],string:{pattern:/(^|[^@\\])("|')(?:\\[\s\S]|(?!\2)[^\\]|\2\2)*\2/,greedy:!0,lookbehind:!0},function:/\b(?:AVG|COUNT|FIRST|FORMAT|LAST|LCASE|LEN|MAX|MID|MIN|MOD|NOW|ROUND|SUM|UCASE)(?=\s*\()/i,keyword:/\b(?:ACTION|ADD|AFTER|ALGORITHM|ALL|ALTER|ANALYZE|ANY|APPLY|AS|ASC|AUTHORIZATION|AUTO_INCREMENT|BACKUP|BDB|BEGIN|BERKELEYDB|BIGINT|BINARY|BIT|BLOB|BOOL|BOOLEAN|BREAK|BROWSE|BTREE|BULK|BY|CALL|CASCADED?|CASE|CHAIN|CHAR(?:ACTER|SET)?|CHECK(?:POINT)?|CLOSE|CLUSTERED|COALESCE|COLLATE|COLUMNS?|COMMENT|COMMIT(?:TED)?|COMPUTE|CONNECT|CONSISTENT|CONSTRAINT|CONTAINS(?:TABLE)?|CONTINUE|CONVERT|CREATE|CROSS|CURRENT(?:_DATE|_TIME|_TIMESTAMP|_USER)?|CURSOR|CYCLE|DATA(?:BASES?)?|DATE(?:TIME)?|DAY|DBCC|DEALLOCATE|DEC|DECIMAL|DECLARE|DEFAULT|DEFINER|DELAYED|DELETE|DELIMITERS?|DENY|DESC|DESCRIBE|DETERMINISTIC|DISABLE|DISCARD|DISK|DISTINCT|DISTINCTROW|DISTRIBUTED|DO|DOUBLE|DROP|DUMMY|DUMP(?:FILE)?|DUPLICATE|ELSE(?:IF)?|ENABLE|ENCLOSED|END|ENGINE|ENUM|ERRLVL|ERRORS|ESCAPED?|EXCEPT|EXEC(?:UTE)?|EXISTS|EXIT|EXPLAIN|EXTENDED|FETCH|FIELDS|FILE|FILLFACTOR|FIRST|FIXED|FLOAT|FOLLOWING|FOR(?: EACH ROW)?|FORCE|FOREIGN|FREETEXT(?:TABLE)?|FROM|FULL|FUNCTION|GEOMETRY(?:COLLECTION)?|GLOBAL|GOTO|GRANT|GROUP|HANDLER|HASH|HAVING|HOLDLOCK|HOUR|IDENTITY(?:_INSERT|COL)?|IF|IGNORE|IMPORT|INDEX|INFILE|INNER|INNODB|INOUT|INSERT|INT|INTEGER|INTERSECT|INTERVAL|INTO|INVOKER|ISOLATION|ITERATE|JOIN|KEYS?|KILL|LANGUAGE|LAST|LEAVE|LEFT|LEVEL|LIMIT|LINENO|LINES|LINESTRING|LOAD|LOCAL|LOCK|LONG(?:BLOB|TEXT)|LOOP|MATCH(?:ED)?|MEDIUM(?:BLOB|INT|TEXT)|MERGE|MIDDLEINT|MINUTE|MODE|MODIFIES|MODIFY|MONTH|MULTI(?:LINESTRING|POINT|POLYGON)|NATIONAL|NATURAL|NCHAR|NEXT|NO|NONCLUSTERED|NULLIF|NUMERIC|OFF?|OFFSETS?|ON|OPEN(?:DATASOURCE|QUERY|ROWSET)?|OPTIMIZE|OPTION(?:ALLY)?|ORDER|OUT(?:ER|FILE)?|OVER|PARTIAL|PARTITION|PERCENT|PIVOT|PLAN|POINT|POLYGON|PRECEDING|PRECISION|PREPARE|PREV|PRIMARY|PRINT|PRIVILEGES|PROC(?:EDURE)?|PUBLIC|PURGE|QUICK|RAISERROR|READS?|REAL|RECONFIGURE|REFERENCES|RELEASE|RENAME|REPEAT(?:ABLE)?|REPLACE|REPLICATION|REQUIRE|RESIGNAL|RESTORE|RESTRICT|RETURN(?:S|ING)?|REVOKE|RIGHT|ROLLBACK|ROUTINE|ROW(?:COUNT|GUIDCOL|S)?|RTREE|RULE|SAVE(?:POINT)?|SCHEMA|SECOND|SELECT|SERIAL(?:IZABLE)?|SESSION(?:_USER)?|SET(?:USER)?|SHARE|SHOW|SHUTDOWN|SIMPLE|SMALLINT|SNAPSHOT|SOME|SONAME|SQL|START(?:ING)?|STATISTICS|STATUS|STRIPED|SYSTEM_USER|TABLES?|TABLESPACE|TEMP(?:ORARY|TABLE)?|TERMINATED|TEXT(?:SIZE)?|THEN|TIME(?:STAMP)?|TINY(?:BLOB|INT|TEXT)|TOP?|TRAN(?:SACTIONS?)?|TRIGGER|TRUNCATE|TSEQUAL|TYPES?|UNBOUNDED|UNCOMMITTED|UNDEFINED|UNION|UNIQUE|UNLOCK|UNPIVOT|UNSIGNED|UPDATE(?:TEXT)?|USAGE|USE|USER|USING|VALUES?|VAR(?:BINARY|CHAR|CHARACTER|YING)|VIEW|WAITFOR|WARNINGS|WHEN|WHERE|WHILE|WITH(?: ROLLUP|IN)?|WORK|WRITE(?:TEXT)?|YEAR)\b/i,boolean:/\b(?:TRUE|FALSE|NULL)\b/i,number:/\b0x[\da-f]+\b|\b\d+(?:\.\d*)?|\B\.\d+\b/i,operator:/[-+*\/=%^~]|&&?|\|\|?|!=?|<(?:=>?|<|>)?|>[>=]?|\b(?:AND|BETWEEN|IN|LIKE|NOT|OR|IS|DIV|REGEXP|RLIKE|SOUNDS LIKE|XOR)\b/i,punctuation:/[;[\]()`,.]/},function(e){var t={pattern:/(\b\d+)(?:%|[a-z]+)/,lookbehind:!0},n={pattern:/(^|[^\w.-])-?(?:\d+(?:\.\d+)?|\.\d+)/,lookbehind:!0},r={comment:{pattern:/(^|[^\\])(?:\/\*[\s\S]*?\*\/|\/\/.*)/,lookbehind:!0},url:{pattern:/url\((["']?).*?\1\)/i,greedy:!0},string:{pattern:/("|')(?:(?!\1)[^\\\r\n]|\\(?:\r\n|[\s\S]))*\1/,greedy:!0},interpolation:null,func:null,important:/\B!(?:important|optional)\b/i,keyword:{pattern:/(^|\s+)(?:(?:if|else|for|return|unless)(?=\s+|$)|@[\w-]+)/,lookbehind:!0},hexcode:/#[\da-f]{3,6}/i,color:[/\b(?:AliceBlue|AntiqueWhite|Aqua|Aquamarine|Azure|Beige|Bisque|Black|BlanchedAlmond|Blue|BlueViolet|Brown|BurlyWood|CadetBlue|Chartreuse|Chocolate|Coral|CornflowerBlue|Cornsilk|Crimson|Cyan|DarkBlue|DarkCyan|DarkGoldenRod|DarkGr[ae]y|DarkGreen|DarkKhaki|DarkMagenta|DarkOliveGreen|DarkOrange|DarkOrchid|DarkRed|DarkSalmon|DarkSeaGreen|DarkSlateBlue|DarkSlateGr[ae]y|DarkTurquoise|DarkViolet|DeepPink|DeepSkyBlue|DimGr[ae]y|DodgerBlue|FireBrick|FloralWhite|ForestGreen|Fuchsia|Gainsboro|GhostWhite|Gold|GoldenRod|Gr[ae]y|Green|GreenYellow|HoneyDew|HotPink|IndianRed|Indigo|Ivory|Khaki|Lavender|LavenderBlush|LawnGreen|LemonChiffon|LightBlue|LightCoral|LightCyan|LightGoldenRodYellow|LightGr[ae]y|LightGreen|LightPink|LightSalmon|LightSeaGreen|LightSkyBlue|LightSlateGr[ae]y|LightSteelBlue|LightYellow|Lime|LimeGreen|Linen|Magenta|Maroon|MediumAquaMarine|MediumBlue|MediumOrchid|MediumPurple|MediumSeaGreen|MediumSlateBlue|MediumSpringGreen|MediumTurquoise|MediumVioletRed|MidnightBlue|MintCream|MistyRose|Moccasin|NavajoWhite|Navy|OldLace|Olive|OliveDrab|Orange|OrangeRed|Orchid|PaleGoldenRod|PaleGreen|PaleTurquoise|PaleVioletRed|PapayaWhip|PeachPuff|Peru|Pink|Plum|PowderBlue|Purple|Red|RosyBrown|RoyalBlue|SaddleBrown|Salmon|SandyBrown|SeaGreen|SeaShell|Sienna|Silver|SkyBlue|SlateBlue|SlateGr[ae]y|Snow|SpringGreen|SteelBlue|Tan|Teal|Thistle|Tomato|Transparent|Turquoise|Violet|Wheat|White|WhiteSmoke|Yellow|YellowGreen)\b/i,{pattern:/\b(?:rgb|hsl)\(\s*\d{1,3}\s*,\s*\d{1,3}%?\s*,\s*\d{1,3}%?\s*\)\B|\b(?:rgb|hsl)a\(\s*\d{1,3}\s*,\s*\d{1,3}%?\s*,\s*\d{1,3}%?\s*,\s*(?:0|0?\.\d+|1)\s*\)\B/i,inside:{unit:t,number:n,function:/[\w-]+(?=\()/,punctuation:/[(),]/}}],entity:/\\[\da-f]{1,8}/i,unit:t,boolean:/\b(?:true|false)\b/,operator:[/~|[+!\/%<>?=]=?|[-:]=|\*[*=]?|\.{2,3}|&&|\|\||\B-\B|\b(?:and|in|is(?: a| defined| not|nt)?|not|or)\b/],number:n,punctuation:/[{}()\[\];:,]/};r.interpolation={pattern:/\{[^\r\n}:]+\}/,alias:"variable",inside:{delimiter:{pattern:/^{|}$/,alias:"punctuation"},rest:r}},r.func={pattern:/[\w-]+\([^)]*\).*/,inside:{function:/^[^(]+/,rest:r}},e.languages.stylus={"atrule-declaration":{pattern:/(^\s*)@.+/m,lookbehind:!0,inside:{atrule:/^@[\w-]+/,rest:r}},"variable-declaration":{pattern:/(^[ \t]*)[\w$-]+\s*.?=[ \t]*(?:\{[^{}]*\}|\S.*|$)/m,lookbehind:!0,inside:{variable:/^\S+/,rest:r}},statement:{pattern:/(^[ \t]*)(?:if|else|for|return|unless)[ \t].+/m,lookbehind:!0,inside:{keyword:/^\S+/,rest:r}},"property-declaration":{pattern:/((?:^|\{)([ \t]*))(?:[\w-]|\{[^}\r\n]+\})+(?:\s*:\s*|[ \t]+)(?!\s)[^{\r\n]*(?:;|[^{\r\n,](?=$)(?!(?:\r?\n|\r)(?:\{|\2[ \t]+)))/m,lookbehind:!0,inside:{property:{pattern:/^[^\s:]+/,inside:{interpolation:r.interpolation}},rest:r}},selector:{pattern:/(^[ \t]*)(?:(?=\S)(?:[^{}\r\n:()]|::?[\w-]+(?:\([^)\r\n]*\)|(?![\w-]))|\{[^}\r\n]+\})+)(?:(?:\r?\n|\r)(?:\1(?:(?=\S)(?:[^{}\r\n:()]|::?[\w-]+(?:\([^)\r\n]*\)|(?![\w-]))|\{[^}\r\n]+\})+)))*(?:,$|\{|(?=(?:\r?\n|\r)(?:\{|\1[ \t]+)))/m,lookbehind:!0,inside:{interpolation:r.interpolation,comment:r.comment,punctuation:/[{},]/}},func:r.func,string:r.string,comment:{pattern:/(^|[^\\])(?:\/\*[\s\S]*?\*\/|\/\/.*)/,lookbehind:!0,greedy:!0},interpolation:r.interpolation,punctuation:/[{}()\[\];:.]/}}(i),function(e){e.languages.typescript=e.languages.extend("javascript",{"class-name":{pattern:/(\b(?:class|extends|implements|instanceof|interface|new|type)\s+)(?!keyof\b)(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*(?:\s*<(?:[^<>]|<(?:[^<>]|<[^<>]*>)*>)*>)?/,lookbehind:!0,greedy:!0,inside:null},keyword:/\b(?:abstract|as|asserts|async|await|break|case|catch|class|const|constructor|continue|debugger|declare|default|delete|do|else|enum|export|extends|finally|for|from|function|get|if|implements|import|in|instanceof|interface|is|keyof|let|module|namespace|new|null|of|package|private|protected|public|readonly|return|require|set|static|super|switch|this|throw|try|type|typeof|undefined|var|void|while|with|yield)\b/,builtin:/\b(?:string|Function|any|number|boolean|Array|symbol|console|Promise|unknown|never)\b/}),delete e.languages.typescript.parameter;var t=e.languages.extend("typescript",{});delete t["class-name"],e.languages.typescript["class-name"].inside=t,e.languages.insertBefore("typescript","function",{"generic-function":{pattern:/#?(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*\s*<(?:[^<>]|<(?:[^<>]|<[^<>]*>)*>)*>(?=\s*\()/,greedy:!0,inside:{function:/^#?(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*/,generic:{pattern:/<[\s\S]+/,alias:"class-name",inside:t}}}}),e.languages.ts=e.languages.typescript}(i),function(e){var t=e.util.clone(e.languages.typescript);e.languages.tsx=e.languages.extend("jsx",t);var n=e.languages.tsx.tag;n.pattern=RegExp(/(^|[^\w$]|(?=<\/))/.source+"(?:"+n.pattern.source+")",n.pattern.flags),n.lookbehind=!0}(i),i.languages.wasm={comment:[/\(;[\s\S]*?;\)/,{pattern:/;;.*/,greedy:!0}],string:{pattern:/"(?:\\[\s\S]|[^"\\])*"/,greedy:!0},keyword:[{pattern:/\b(?:align|offset)=/,inside:{operator:/=/}},{pattern:/\b(?:(?:f32|f64|i32|i64)(?:\.(?:abs|add|and|ceil|clz|const|convert_[su]\/i(?:32|64)|copysign|ctz|demote\/f64|div(?:_[su])?|eqz?|extend_[su]\/i32|floor|ge(?:_[su])?|gt(?:_[su])?|le(?:_[su])?|load(?:(?:8|16|32)_[su])?|lt(?:_[su])?|max|min|mul|nearest|neg?|or|popcnt|promote\/f32|reinterpret\/[fi](?:32|64)|rem_[su]|rot[lr]|shl|shr_[su]|store(?:8|16|32)?|sqrt|sub|trunc(?:_[su]\/f(?:32|64))?|wrap\/i64|xor))?|memory\.(?:grow|size))\b/,inside:{punctuation:/\./}},/\b(?:anyfunc|block|br(?:_if|_table)?|call(?:_indirect)?|data|drop|elem|else|end|export|func|get_(?:global|local)|global|if|import|local|loop|memory|module|mut|nop|offset|param|result|return|select|set_(?:global|local)|start|table|tee_local|then|type|unreachable)\b/],variable:/\$[\w!#$%&'*+\-./:<=>?@\\^_`|~]+/i,number:/[+-]?\b(?:\d(?:_?\d)*(?:\.\d(?:_?\d)*)?(?:[eE][+-]?\d(?:_?\d)*)?|0x[\da-fA-F](?:_?[\da-fA-F])*(?:\.[\da-fA-F](?:_?[\da-fA-D])*)?(?:[pP][+-]?\d(?:_?\d)*)?)\b|\binf\b|\bnan(?::0x[\da-fA-F](?:_?[\da-fA-D])*)?\b/,punctuation:/[()]/},function(e){var t=/[*&][^\s[\]{},]+/,n=/!(?:<[\w\-%#;/?:@&=+$,.!~*'()[\]]+>|(?:[a-zA-Z\d-]*!)?[\w\-%#;/?:@&=+$.~*'()]+)?/,r="(?:"+n.source+"(?:[ \t]+"+t.source+")?|"+t.source+"(?:[ \t]+"+n.source+")?)",o=/(?:[^\s\x00-\x08\x0e-\x1f!"#%&'*,\-:>?@[\]`{|}\x7f-\x84\x86-\x9f\ud800-\udfff\ufffe\uffff]|[?:-]<PLAIN>)(?:[ \t]*(?:(?![#:])<PLAIN>|:<PLAIN>))*/.source.replace(/<PLAIN>/g,(function(){return/[^\s\x00-\x08\x0e-\x1f,[\]{}\x7f-\x84\x86-\x9f\ud800-\udfff\ufffe\uffff]/.source})),a=/"(?:[^"\\\r\n]|\\.)*"|'(?:[^'\\\r\n]|\\.)*'/.source;function i(e,t){t=(t||"").replace(/m/g,"")+"m";var n=/([:\-,[{]\s*(?:\s<<prop>>[ \t]+)?)(?:<<value>>)(?=[ \t]*(?:$|,|]|}|(?:[\r\n]\s*)?#))/.source.replace(/<<prop>>/g,(function(){return r})).replace(/<<value>>/g,(function(){return e}));return RegExp(n,t)}e.languages.yaml={scalar:{pattern:RegExp(/([\-:]\s*(?:\s<<prop>>[ \t]+)?[|>])[ \t]*(?:((?:\r?\n|\r)[ \t]+)\S[^\r\n]*(?:\2[^\r\n]+)*)/.source.replace(/<<prop>>/g,(function(){return r}))),lookbehind:!0,alias:"string"},comment:/#.*/,key:{pattern:RegExp(/((?:^|[:\-,[{\r\n?])[ \t]*(?:<<prop>>[ \t]+)?)<<key>>(?=\s*:\s)/.source.replace(/<<prop>>/g,(function(){return r})).replace(/<<key>>/g,(function(){return"(?:"+o+"|"+a+")"}))),lookbehind:!0,greedy:!0,alias:"atrule"},directive:{pattern:/(^[ \t]*)%.+/m,lookbehind:!0,alias:"important"},datetime:{pattern:i(/\d{4}-\d\d?-\d\d?(?:[tT]|[ \t]+)\d\d?:\d{2}:\d{2}(?:\.\d*)?(?:[ \t]*(?:Z|[-+]\d\d?(?::\d{2})?))?|\d{4}-\d{2}-\d{2}|\d\d?:\d{2}(?::\d{2}(?:\.\d*)?)?/.source),lookbehind:!0,alias:"number"},boolean:{pattern:i(/true|false/.source,"i"),lookbehind:!0,alias:"important"},null:{pattern:i(/null|~/.source,"i"),lookbehind:!0,alias:"important"},string:{pattern:i(a),lookbehind:!0,greedy:!0},number:{pattern:i(/[+-]?(?:0x[\da-f]+|0o[0-7]+|(?:\d+(?:\.\d*)?|\.?\d+)(?:e[+-]?\d+)?|\.inf|\.nan)/.source,"i"),lookbehind:!0},tag:n,important:t,punctuation:/---|[:[\]{}\-,|>?]|\.\.\./},e.languages.yml=e.languages.yaml}(i),t.a=i},function(e,t,n){"use strict";var r=n(0),o=n.n(r),a=n(35);t.a=function(e){return o.a.createElement(a.a,Object.assign({},e))}},function(e,t,n){"use strict";!function e(){if("undefined"!=typeof __REACT_DEVTOOLS_GLOBAL_HOOK__&&"function"==typeof __REACT_DEVTOOLS_GLOBAL_HOOK__.checkDCE)try{__REACT_DEVTOOLS_GLOBAL_HOOK__.checkDCE(e)}catch(t){console.error(t)}}(),e.exports=n(40)},function(e){e.exports=JSON.parse("{}")},function(e,t,n){"use strict";var r=n(9);t.a=r.b},function(e,t){var n;n=function(){return this}();try{n=n||new Function("return this")()}catch(r){"object"==typeof window&&(n=window)}e.exports=n},function(e,t,n){"use strict";e.exports=n(46)},function(e){e.exports=JSON.parse('{"docusaurus-plugin-content-docs":{"default":{"path":"/PSP/docs","versions":[{"name":"current","label":"Next","isLast":true,"path":"/PSP/docs","mainDocId":"aboutPSP","docs":[{"id":"aboutPSP","path":"/PSP/docs/","sidebar":"docs"},{"id":"bus","path":"/PSP/docs/bus","sidebar":"docs"},{"id":"cadTools","path":"/PSP/docs/cadTools","sidebar":"docs"},{"id":"capacitor","path":"/PSP/docs/capacitor","sidebar":"docs"},{"id":"const","path":"/PSP/docs/const","sidebar":"docs"},{"id":"controlEditor","path":"/PSP/docs/controlEditor","sidebar":"docs"},{"id":"divider","path":"/PSP/docs/divider","sidebar":"docs"},{"id":"exponential","path":"/PSP/docs/exponential","sidebar":"docs"},{"id":"fault","path":"/PSP/docs/fault","sidebar":"docs"},{"id":"gain","path":"/PSP/docs/gain","sidebar":"docs"},{"id":"graphViewer","path":"/PSP/docs/graphViewer","sidebar":"docs"},{"id":"harmonics","path":"/PSP/docs/harmonics","sidebar":"docs"},{"id":"harmSource","path":"/PSP/docs/harmSource","sidebar":"docs"},{"id":"heatmap","path":"/PSP/docs/heatmap","sidebar":"docs"},{"id":"indMotor","path":"/PSP/docs/indMotor","sidebar":"docs"},{"id":"inductor","path":"/PSP/docs/inductor","sidebar":"docs"},{"id":"installation","path":"/PSP/docs/installation","sidebar":"docs"},{"id":"io","path":"/PSP/docs/io","sidebar":"docs"},{"id":"limiter","path":"/PSP/docs/limiter","sidebar":"docs"},{"id":"line","path":"/PSP/docs/line","sidebar":"docs"},{"id":"load","path":"/PSP/docs/load","sidebar":"docs"},{"id":"mainScreen","path":"/PSP/docs/mainScreen","sidebar":"docs"},{"id":"mathExpression","path":"/PSP/docs/mathExpression","sidebar":"docs"},{"id":"multiplier","path":"/PSP/docs/multiplier","sidebar":"docs"},{"id":"powerEditor","path":"/PSP/docs/powerEditor","sidebar":"docs"},{"id":"powerFlow","path":"/PSP/docs/powerFlow","sidebar":"docs"},{"id":"rateLimiter","path":"/PSP/docs/rateLimiter","sidebar":"docs"},{"id":"simulationConfig","path":"/PSP/docs/simulationConfig","sidebar":"docs"},{"id":"stability","path":"/PSP/docs/stability","sidebar":"docs"},{"id":"sum","path":"/PSP/docs/sum","sidebar":"docs"},{"id":"syncGenerator","path":"/PSP/docs/syncGenerator","sidebar":"docs"},{"id":"syncMotor","path":"/PSP/docs/syncMotor","sidebar":"docs"},{"id":"tabularReport","path":"/PSP/docs/tabularReport","sidebar":"docs"},{"id":"text","path":"/PSP/docs/text","sidebar":"docs"},{"id":"transferFunction","path":"/PSP/docs/transferFunction","sidebar":"docs"},{"id":"transformer","path":"/PSP/docs/transformer","sidebar":"docs"}]}]}}}')},function(e){e.exports=JSON.parse('{"defaultLocale":"en","locales":["en","pt"],"localeConfigs":{"en":{"label":"English","direction":"ltr"},"pt":{"label":"Portugu\xeas","direction":"ltr"}},"currentLocale":"en"}')},function(e){e.exports=JSON.parse('{"docusaurusVersion":"2.0.0-alpha.71","siteVersion":"0.1.2","pluginVersions":{"docusaurus-plugin-content-docs":{"type":"package","name":"@docusaurus/plugin-content-docs","version":"2.0.0-alpha.71"},"docusaurus-plugin-content-blog":{"type":"package","name":"@docusaurus/plugin-content-blog","version":"2.0.0-alpha.71"},"docusaurus-plugin-content-pages":{"type":"package","name":"@docusaurus/plugin-content-pages","version":"2.0.0-alpha.71"},"docusaurus-plugin-sitemap":{"type":"package","name":"@docusaurus/plugin-sitemap","version":"2.0.0-alpha.71"},"docusaurus-theme-classic":{"type":"package","name":"@docusaurus/theme-classic","version":"2.0.0-alpha.71"},"docusaurus-theme-search-algolia":{"type":"package","name":"@docusaurus/theme-search-algolia","version":"2.0.0-alpha.71"}}}')},function(e,t,n){"use strict";var r=n(30),o={childContextTypes:!0,contextType:!0,contextTypes:!0,defaultProps:!0,displayName:!0,getDefaultProps:!0,getDerivedStateFromError:!0,getDerivedStateFromProps:!0,mixins:!0,propTypes:!0,type:!0},a={name:!0,length:!0,prototype:!0,caller:!0,callee:!0,arguments:!0,arity:!0},i={$$typeof:!0,compare:!0,defaultProps:!0,displayName:!0,propTypes:!0,type:!0},l={};function u(e){return r.isMemo(e)?i:l[e.$$typeof]||o}l[r.ForwardRef]={$$typeof:!0,render:!0,defaultProps:!0,displayName:!0,propTypes:!0},l[r.Memo]=i;var s=Object.defineProperty,c=Object.getOwnPropertyNames,d=Object.getOwnPropertySymbols,f=Object.getOwnPropertyDescriptor,p=Object.getPrototypeOf,m=Object.prototype;e.exports=function e(t,n,r){if("string"!=typeof n){if(m){var o=p(n);o&&o!==m&&e(t,o,r)}var i=c(n);d&&(i=i.concat(d(n)));for(var l=u(t),h=u(n),g=0;g<i.length;++g){var b=i[g];if(!(a[b]||r&&r[b]||h&&h[b]||l&&l[b])){var y=f(n,b);try{s(t,b,y)}catch(v){}}}}return t}},function(e,t,n){"use strict";(function(e){n.d(t,"a",(function(){return ge}));var r,o,a,i,l=n(1),u=n.n(l),s=n(36),c=n.n(s),d=n(37),f=n.n(d),p=n(0),m=n.n(p),h=n(12),g=n.n(h),b="bodyAttributes",y="htmlAttributes",v="titleAttributes",w={BASE:"base",BODY:"body",HEAD:"head",HTML:"html",LINK:"link",META:"meta",NOSCRIPT:"noscript",SCRIPT:"script",STYLE:"style",TITLE:"title"},S=(Object.keys(w).map((function(e){return w[e]})),"charset"),k="cssText",E="href",P="http-equiv",T="innerHTML",x="itemprop",C="name",O="property",_="rel",A="src",R="target",N={accesskey:"accessKey",charset:"charSet",class:"className",contenteditable:"contentEditable",contextmenu:"contextMenu","http-equiv":"httpEquiv",itemprop:"itemProp",tabindex:"tabIndex"},L="defaultTitle",I="defer",D="encodeSpecialCharacters",j="onChangeClientState",F="titleTemplate",M=Object.keys(N).reduce((function(e,t){return e[N[t]]=t,e}),{}),B=[w.NOSCRIPT,w.SCRIPT,w.STYLE],U="data-react-helmet",z="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e},$=function(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")},G=function(){function e(e,t){for(var n=0;n<t.length;n++){var r=t[n];r.enumerable=r.enumerable||!1,r.configurable=!0,"value"in r&&(r.writable=!0),Object.defineProperty(e,r.key,r)}}return function(t,n,r){return n&&e(t.prototype,n),r&&e(t,r),t}}(),q=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var n=arguments[t];for(var r in n)Object.prototype.hasOwnProperty.call(n,r)&&(e[r]=n[r])}return e},H=function(e,t){var n={};for(var r in e)t.indexOf(r)>=0||Object.prototype.hasOwnProperty.call(e,r)&&(n[r]=e[r]);return n},W=function(e,t){if(!e)throw new ReferenceError("this hasn't been initialised - super() hasn't been called");return!t||"object"!=typeof t&&"function"!=typeof t?e:t},V=function(e){var t=!(arguments.length>1&&void 0!==arguments[1])||arguments[1];return!1===t?String(e):String(e).replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/"/g,"&quot;").replace(/'/g,"&#x27;")},K=function(e){var t=Z(e,w.TITLE),n=Z(e,F);if(n&&t)return n.replace(/%s/g,(function(){return Array.isArray(t)?t.join(""):t}));var r=Z(e,L);return t||r||void 0},Y=function(e){return Z(e,j)||function(){}},Q=function(e,t){return t.filter((function(t){return void 0!==t[e]})).map((function(t){return t[e]})).reduce((function(e,t){return q({},e,t)}),{})},X=function(e,t){return t.filter((function(e){return void 0!==e[w.BASE]})).map((function(e){return e[w.BASE]})).reverse().reduce((function(t,n){if(!t.length)for(var r=Object.keys(n),o=0;o<r.length;o++){var a=r[o].toLowerCase();if(-1!==e.indexOf(a)&&n[a])return t.concat(n)}return t}),[])},J=function(e,t,n){var r={};return n.filter((function(t){return!!Array.isArray(t[e])||(void 0!==t[e]&&oe("Helmet: "+e+' should be of type "Array". Instead found type "'+z(t[e])+'"'),!1)})).map((function(t){return t[e]})).reverse().reduce((function(e,n){var o={};n.filter((function(e){for(var n=void 0,a=Object.keys(e),i=0;i<a.length;i++){var l=a[i],u=l.toLowerCase();-1===t.indexOf(u)||n===_&&"canonical"===e[n].toLowerCase()||u===_&&"stylesheet"===e[u].toLowerCase()||(n=u),-1===t.indexOf(l)||l!==T&&l!==k&&l!==x||(n=l)}if(!n||!e[n])return!1;var s=e[n].toLowerCase();return r[n]||(r[n]={}),o[n]||(o[n]={}),!r[n][s]&&(o[n][s]=!0,!0)})).reverse().forEach((function(t){return e.push(t)}));for(var a=Object.keys(o),i=0;i<a.length;i++){var l=a[i],u=g()({},r[l],o[l]);r[l]=u}return e}),[]).reverse()},Z=function(e,t){for(var n=e.length-1;n>=0;n--){var r=e[n];if(r.hasOwnProperty(t))return r[t]}return null},ee=(r=Date.now(),function(e){var t=Date.now();t-r>16?(r=t,e(t)):setTimeout((function(){ee(e)}),0)}),te=function(e){return clearTimeout(e)},ne="undefined"!=typeof window?window.requestAnimationFrame&&window.requestAnimationFrame.bind(window)||window.webkitRequestAnimationFrame||window.mozRequestAnimationFrame||ee:e.requestAnimationFrame||ee,re="undefined"!=typeof window?window.cancelAnimationFrame||window.webkitCancelAnimationFrame||window.mozCancelAnimationFrame||te:e.cancelAnimationFrame||te,oe=function(e){return console&&"function"==typeof console.warn&&console.warn(e)},ae=null,ie=function(e,t){var n=e.baseTag,r=e.bodyAttributes,o=e.htmlAttributes,a=e.linkTags,i=e.metaTags,l=e.noscriptTags,u=e.onChangeClientState,s=e.scriptTags,c=e.styleTags,d=e.title,f=e.titleAttributes;se(w.BODY,r),se(w.HTML,o),ue(d,f);var p={baseTag:ce(w.BASE,n),linkTags:ce(w.LINK,a),metaTags:ce(w.META,i),noscriptTags:ce(w.NOSCRIPT,l),scriptTags:ce(w.SCRIPT,s),styleTags:ce(w.STYLE,c)},m={},h={};Object.keys(p).forEach((function(e){var t=p[e],n=t.newTags,r=t.oldTags;n.length&&(m[e]=n),r.length&&(h[e]=p[e].oldTags)})),t&&t(),u(e,m,h)},le=function(e){return Array.isArray(e)?e.join(""):e},ue=function(e,t){void 0!==e&&document.title!==e&&(document.title=le(e)),se(w.TITLE,t)},se=function(e,t){var n=document.getElementsByTagName(e)[0];if(n){for(var r=n.getAttribute(U),o=r?r.split(","):[],a=[].concat(o),i=Object.keys(t),l=0;l<i.length;l++){var u=i[l],s=t[u]||"";n.getAttribute(u)!==s&&n.setAttribute(u,s),-1===o.indexOf(u)&&o.push(u);var c=a.indexOf(u);-1!==c&&a.splice(c,1)}for(var d=a.length-1;d>=0;d--)n.removeAttribute(a[d]);o.length===a.length?n.removeAttribute(U):n.getAttribute(U)!==i.join(",")&&n.setAttribute(U,i.join(","))}},ce=function(e,t){var n=document.head||document.querySelector(w.HEAD),r=n.querySelectorAll(e+"["+"data-react-helmet]"),o=Array.prototype.slice.call(r),a=[],i=void 0;return t&&t.length&&t.forEach((function(t){var n=document.createElement(e);for(var r in t)if(t.hasOwnProperty(r))if(r===T)n.innerHTML=t.innerHTML;else if(r===k)n.styleSheet?n.styleSheet.cssText=t.cssText:n.appendChild(document.createTextNode(t.cssText));else{var l=void 0===t[r]?"":t[r];n.setAttribute(r,l)}n.setAttribute(U,"true"),o.some((function(e,t){return i=t,n.isEqualNode(e)}))?o.splice(i,1):a.push(n)})),o.forEach((function(e){return e.parentNode.removeChild(e)})),a.forEach((function(e){return n.appendChild(e)})),{oldTags:o,newTags:a}},de=function(e){return Object.keys(e).reduce((function(t,n){var r=void 0!==e[n]?n+'="'+e[n]+'"':""+n;return t?t+" "+r:r}),"")},fe=function(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{};return Object.keys(e).reduce((function(t,n){return t[N[n]||n]=e[n],t}),t)},pe=function(e,t,n){switch(e){case w.TITLE:return{toComponent:function(){return e=t.title,n=t.titleAttributes,(r={key:e})[U]=!0,o=fe(n,r),[m.a.createElement(w.TITLE,o,e)];var e,n,r,o},toString:function(){return function(e,t,n,r){var o=de(n),a=le(t);return o?"<"+e+' data-react-helmet="true" '+o+">"+V(a,r)+"</"+e+">":"<"+e+' data-react-helmet="true">'+V(a,r)+"</"+e+">"}(e,t.title,t.titleAttributes,n)}};case b:case y:return{toComponent:function(){return fe(t)},toString:function(){return de(t)}};default:return{toComponent:function(){return function(e,t){return t.map((function(t,n){var r,o=((r={key:n})[U]=!0,r);return Object.keys(t).forEach((function(e){var n=N[e]||e;if(n===T||n===k){var r=t.innerHTML||t.cssText;o.dangerouslySetInnerHTML={__html:r}}else o[n]=t[e]})),m.a.createElement(e,o)}))}(e,t)},toString:function(){return function(e,t,n){return t.reduce((function(t,r){var o=Object.keys(r).filter((function(e){return!(e===T||e===k)})).reduce((function(e,t){var o=void 0===r[t]?t:t+'="'+V(r[t],n)+'"';return e?e+" "+o:o}),""),a=r.innerHTML||r.cssText||"",i=-1===B.indexOf(e);return t+"<"+e+' data-react-helmet="true" '+o+(i?"/>":">"+a+"</"+e+">")}),"")}(e,t,n)}}}},me=function(e){var t=e.baseTag,n=e.bodyAttributes,r=e.encode,o=e.htmlAttributes,a=e.linkTags,i=e.metaTags,l=e.noscriptTags,u=e.scriptTags,s=e.styleTags,c=e.title,d=void 0===c?"":c,f=e.titleAttributes;return{base:pe(w.BASE,t,r),bodyAttributes:pe(b,n,r),htmlAttributes:pe(y,o,r),link:pe(w.LINK,a,r),meta:pe(w.META,i,r),noscript:pe(w.NOSCRIPT,l,r),script:pe(w.SCRIPT,u,r),style:pe(w.STYLE,s,r),title:pe(w.TITLE,{title:d,titleAttributes:f},r)}},he=c()((function(e){return{baseTag:X([E,R],e),bodyAttributes:Q(b,e),defer:Z(e,I),encode:Z(e,D),htmlAttributes:Q(y,e),linkTags:J(w.LINK,[_,E],e),metaTags:J(w.META,[C,S,P,O,x],e),noscriptTags:J(w.NOSCRIPT,[T],e),onChangeClientState:Y(e),scriptTags:J(w.SCRIPT,[A,T],e),styleTags:J(w.STYLE,[k],e),title:K(e),titleAttributes:Q(v,e)}}),(function(e){ae&&re(ae),e.defer?ae=ne((function(){ie(e,(function(){ae=null}))})):(ie(e),ae=null)}),me)((function(){return null})),ge=(o=he,i=a=function(e){function t(){return $(this,t),W(this,e.apply(this,arguments))}return function(e,t){if("function"!=typeof t&&null!==t)throw new TypeError("Super expression must either be null or a function, not "+typeof t);e.prototype=Object.create(t&&t.prototype,{constructor:{value:e,enumerable:!1,writable:!0,configurable:!0}}),t&&(Object.setPrototypeOf?Object.setPrototypeOf(e,t):e.__proto__=t)}(t,e),t.prototype.shouldComponentUpdate=function(e){return!f()(this.props,e)},t.prototype.mapNestedChildrenToProps=function(e,t){if(!t)return null;switch(e.type){case w.SCRIPT:case w.NOSCRIPT:return{innerHTML:t};case w.STYLE:return{cssText:t}}throw new Error("<"+e.type+" /> elements are self-closing and can not contain children. Refer to our API for more information.")},t.prototype.flattenArrayTypeChildren=function(e){var t,n=e.child,r=e.arrayTypeChildren,o=e.newChildProps,a=e.nestedChildren;return q({},r,((t={})[n.type]=[].concat(r[n.type]||[],[q({},o,this.mapNestedChildrenToProps(n,a))]),t))},t.prototype.mapObjectTypeChildren=function(e){var t,n,r=e.child,o=e.newProps,a=e.newChildProps,i=e.nestedChildren;switch(r.type){case w.TITLE:return q({},o,((t={})[r.type]=i,t.titleAttributes=q({},a),t));case w.BODY:return q({},o,{bodyAttributes:q({},a)});case w.HTML:return q({},o,{htmlAttributes:q({},a)})}return q({},o,((n={})[r.type]=q({},a),n))},t.prototype.mapArrayTypeChildrenToProps=function(e,t){var n=q({},t);return Object.keys(e).forEach((function(t){var r;n=q({},n,((r={})[t]=e[t],r))})),n},t.prototype.warnOnInvalidChildren=function(e,t){return!0},t.prototype.mapChildrenToProps=function(e,t){var n=this,r={};return m.a.Children.forEach(e,(function(e){if(e&&e.props){var o=e.props,a=o.children,i=function(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{};return Object.keys(e).reduce((function(t,n){return t[M[n]||n]=e[n],t}),t)}(H(o,["children"]));switch(n.warnOnInvalidChildren(e,a),e.type){case w.LINK:case w.META:case w.NOSCRIPT:case w.SCRIPT:case w.STYLE:r=n.flattenArrayTypeChildren({child:e,arrayTypeChildren:r,newChildProps:i,nestedChildren:a});break;default:t=n.mapObjectTypeChildren({child:e,newProps:t,newChildProps:i,nestedChildren:a})}}})),t=this.mapArrayTypeChildrenToProps(r,t)},t.prototype.render=function(){var e=this.props,t=e.children,n=H(e,["children"]),r=q({},n);return t&&(r=this.mapChildrenToProps(t,r)),m.a.createElement(o,r)},G(t,null,[{key:"canUseDOM",set:function(e){o.canUseDOM=e}}]),t}(m.a.Component),a.propTypes={base:u.a.object,bodyAttributes:u.a.object,children:u.a.oneOfType([u.a.arrayOf(u.a.node),u.a.node]),defaultTitle:u.a.string,defer:u.a.bool,encodeSpecialCharacters:u.a.bool,htmlAttributes:u.a.object,link:u.a.arrayOf(u.a.object),meta:u.a.arrayOf(u.a.object),noscript:u.a.arrayOf(u.a.object),onChangeClientState:u.a.func,script:u.a.arrayOf(u.a.object),style:u.a.arrayOf(u.a.object),title:u.a.string,titleAttributes:u.a.object,titleTemplate:u.a.string},a.defaultProps={defer:!0,encodeSpecialCharacters:!0},a.peek=o.peek,a.rewind=function(){var e=o.rewind();return e||(e=me({baseTag:[],bodyAttributes:{},encodeSpecialCharacters:!0,htmlAttributes:{},linkTags:[],metaTags:[],noscriptTags:[],scriptTags:[],styleTags:[],title:"",titleAttributes:{}})),e},i);ge.renderStatic=ge.rewind}).call(this,n(29))},function(e,t,n){"use strict";var r,o=n(0),a=(r=o)&&"object"==typeof r&&"default"in r?r.default:r;function i(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}var l=!("undefined"==typeof window||!window.document||!window.document.createElement);e.exports=function(e,t,n){if("function"!=typeof e)throw new Error("Expected reducePropsToState to be a function.");if("function"!=typeof t)throw new Error("Expected handleStateChangeOnClient to be a function.");if(void 0!==n&&"function"!=typeof n)throw new Error("Expected mapStateOnServer to either be undefined or a function.");return function(r){if("function"!=typeof r)throw new Error("Expected WrappedComponent to be a React component.");var u,s=[];function c(){u=e(s.map((function(e){return e.props}))),d.canUseDOM?t(u):n&&(u=n(u))}var d=function(e){var t,n;function o(){return e.apply(this,arguments)||this}n=e,(t=o).prototype=Object.create(n.prototype),t.prototype.constructor=t,t.__proto__=n,o.peek=function(){return u},o.rewind=function(){if(o.canUseDOM)throw new Error("You may only call rewind() on the server. Call peek() to read the current state.");var e=u;return u=void 0,s=[],e};var i=o.prototype;return i.UNSAFE_componentWillMount=function(){s.push(this),c()},i.componentDidUpdate=function(){c()},i.componentWillUnmount=function(){var e=s.indexOf(this);s.splice(e,1),c()},i.render=function(){return a.createElement(r,this.props)},o}(o.PureComponent);return i(d,"displayName","SideEffect("+function(e){return e.displayName||e.name||"Component"}(r)+")"),i(d,"canUseDOM",l),d}}},function(e,t){var n="undefined"!=typeof Element,r="function"==typeof Map,o="function"==typeof Set,a="function"==typeof ArrayBuffer&&!!ArrayBuffer.isView;function i(e,t){if(e===t)return!0;if(e&&t&&"object"==typeof e&&"object"==typeof t){if(e.constructor!==t.constructor)return!1;var l,u,s,c;if(Array.isArray(e)){if((l=e.length)!=t.length)return!1;for(u=l;0!=u--;)if(!i(e[u],t[u]))return!1;return!0}if(r&&e instanceof Map&&t instanceof Map){if(e.size!==t.size)return!1;for(c=e.entries();!(u=c.next()).done;)if(!t.has(u.value[0]))return!1;for(c=e.entries();!(u=c.next()).done;)if(!i(u.value[1],t.get(u.value[0])))return!1;return!0}if(o&&e instanceof Set&&t instanceof Set){if(e.size!==t.size)return!1;for(c=e.entries();!(u=c.next()).done;)if(!t.has(u.value[0]))return!1;return!0}if(a&&ArrayBuffer.isView(e)&&ArrayBuffer.isView(t)){if((l=e.length)!=t.length)return!1;for(u=l;0!=u--;)if(e[u]!==t[u])return!1;return!0}if(e.constructor===RegExp)return e.source===t.source&&e.flags===t.flags;if(e.valueOf!==Object.prototype.valueOf)return e.valueOf()===t.valueOf();if(e.toString!==Object.prototype.toString)return e.toString()===t.toString();if((l=(s=Object.keys(e)).length)!==Object.keys(t).length)return!1;for(u=l;0!=u--;)if(!Object.prototype.hasOwnProperty.call(t,s[u]))return!1;if(n&&e instanceof Element)return!1;for(u=l;0!=u--;)if(("_owner"!==s[u]&&"__v"!==s[u]&&"__o"!==s[u]||!e.$$typeof)&&!i(e[s[u]],t[s[u]]))return!1;return!0}return e!=e&&t!=t}e.exports=function(e,t){try{return i(e,t)}catch(n){if((n.message||"").match(/stack|recursion/i))return console.warn("react-fast-compare cannot handle circular refs"),!1;throw n}}},function(e,t,n){e.exports=n(54)},function(e,t,n){"use strict";var r=n(12),o="function"==typeof Symbol&&Symbol.for,a=o?Symbol.for("react.element"):60103,i=o?Symbol.for("react.portal"):60106,l=o?Symbol.for("react.fragment"):60107,u=o?Symbol.for("react.strict_mode"):60108,s=o?Symbol.for("react.profiler"):60114,c=o?Symbol.for("react.provider"):60109,d=o?Symbol.for("react.context"):60110,f=o?Symbol.for("react.forward_ref"):60112,p=o?Symbol.for("react.suspense"):60113,m=o?Symbol.for("react.memo"):60115,h=o?Symbol.for("react.lazy"):60116,g="function"==typeof Symbol&&Symbol.iterator;function b(e){for(var t="https://reactjs.org/docs/error-decoder.html?invariant="+e,n=1;n<arguments.length;n++)t+="&args[]="+encodeURIComponent(arguments[n]);return"Minified React error #"+e+"; visit "+t+" for the full message or use the non-minified dev environment for full errors and additional helpful warnings."}var y={isMounted:function(){return!1},enqueueForceUpdate:function(){},enqueueReplaceState:function(){},enqueueSetState:function(){}},v={};function w(e,t,n){this.props=e,this.context=t,this.refs=v,this.updater=n||y}function S(){}function k(e,t,n){this.props=e,this.context=t,this.refs=v,this.updater=n||y}w.prototype.isReactComponent={},w.prototype.setState=function(e,t){if("object"!=typeof e&&"function"!=typeof e&&null!=e)throw Error(b(85));this.updater.enqueueSetState(this,e,t,"setState")},w.prototype.forceUpdate=function(e){this.updater.enqueueForceUpdate(this,e,"forceUpdate")},S.prototype=w.prototype;var E=k.prototype=new S;E.constructor=k,r(E,w.prototype),E.isPureReactComponent=!0;var P={current:null},T=Object.prototype.hasOwnProperty,x={key:!0,ref:!0,__self:!0,__source:!0};function C(e,t,n){var r,o={},i=null,l=null;if(null!=t)for(r in void 0!==t.ref&&(l=t.ref),void 0!==t.key&&(i=""+t.key),t)T.call(t,r)&&!x.hasOwnProperty(r)&&(o[r]=t[r]);var u=arguments.length-2;if(1===u)o.children=n;else if(1<u){for(var s=Array(u),c=0;c<u;c++)s[c]=arguments[c+2];o.children=s}if(e&&e.defaultProps)for(r in u=e.defaultProps)void 0===o[r]&&(o[r]=u[r]);return{$$typeof:a,type:e,key:i,ref:l,props:o,_owner:P.current}}function O(e){return"object"==typeof e&&null!==e&&e.$$typeof===a}var _=/\/+/g,A=[];function R(e,t,n,r){if(A.length){var o=A.pop();return o.result=e,o.keyPrefix=t,o.func=n,o.context=r,o.count=0,o}return{result:e,keyPrefix:t,func:n,context:r,count:0}}function N(e){e.result=null,e.keyPrefix=null,e.func=null,e.context=null,e.count=0,10>A.length&&A.push(e)}function L(e,t,n,r){var o=typeof e;"undefined"!==o&&"boolean"!==o||(e=null);var l=!1;if(null===e)l=!0;else switch(o){case"string":case"number":l=!0;break;case"object":switch(e.$$typeof){case a:case i:l=!0}}if(l)return n(r,e,""===t?"."+D(e,0):t),1;if(l=0,t=""===t?".":t+":",Array.isArray(e))for(var u=0;u<e.length;u++){var s=t+D(o=e[u],u);l+=L(o,s,n,r)}else if(null===e||"object"!=typeof e?s=null:s="function"==typeof(s=g&&e[g]||e["@@iterator"])?s:null,"function"==typeof s)for(e=s.call(e),u=0;!(o=e.next()).done;)l+=L(o=o.value,s=t+D(o,u++),n,r);else if("object"===o)throw n=""+e,Error(b(31,"[object Object]"===n?"object with keys {"+Object.keys(e).join(", ")+"}":n,""));return l}function I(e,t,n){return null==e?0:L(e,"",t,n)}function D(e,t){return"object"==typeof e&&null!==e&&null!=e.key?function(e){var t={"=":"=0",":":"=2"};return"$"+(""+e).replace(/[=:]/g,(function(e){return t[e]}))}(e.key):t.toString(36)}function j(e,t){e.func.call(e.context,t,e.count++)}function F(e,t,n){var r=e.result,o=e.keyPrefix;e=e.func.call(e.context,t,e.count++),Array.isArray(e)?M(e,r,n,(function(e){return e})):null!=e&&(O(e)&&(e=function(e,t){return{$$typeof:a,type:e.type,key:t,ref:e.ref,props:e.props,_owner:e._owner}}(e,o+(!e.key||t&&t.key===e.key?"":(""+e.key).replace(_,"$&/")+"/")+n)),r.push(e))}function M(e,t,n,r,o){var a="";null!=n&&(a=(""+n).replace(_,"$&/")+"/"),I(e,F,t=R(t,a,r,o)),N(t)}var B={current:null};function U(){var e=B.current;if(null===e)throw Error(b(321));return e}var z={ReactCurrentDispatcher:B,ReactCurrentBatchConfig:{suspense:null},ReactCurrentOwner:P,IsSomeRendererActing:{current:!1},assign:r};t.Children={map:function(e,t,n){if(null==e)return e;var r=[];return M(e,r,null,t,n),r},forEach:function(e,t,n){if(null==e)return e;I(e,j,t=R(null,null,t,n)),N(t)},count:function(e){return I(e,(function(){return null}),null)},toArray:function(e){var t=[];return M(e,t,null,(function(e){return e})),t},only:function(e){if(!O(e))throw Error(b(143));return e}},t.Component=w,t.Fragment=l,t.Profiler=s,t.PureComponent=k,t.StrictMode=u,t.Suspense=p,t.__SECRET_INTERNALS_DO_NOT_USE_OR_YOU_WILL_BE_FIRED=z,t.cloneElement=function(e,t,n){if(null==e)throw Error(b(267,e));var o=r({},e.props),i=e.key,l=e.ref,u=e._owner;if(null!=t){if(void 0!==t.ref&&(l=t.ref,u=P.current),void 0!==t.key&&(i=""+t.key),e.type&&e.type.defaultProps)var s=e.type.defaultProps;for(c in t)T.call(t,c)&&!x.hasOwnProperty(c)&&(o[c]=void 0===t[c]&&void 0!==s?s[c]:t[c])}var c=arguments.length-2;if(1===c)o.children=n;else if(1<c){s=Array(c);for(var d=0;d<c;d++)s[d]=arguments[d+2];o.children=s}return{$$typeof:a,type:e.type,key:i,ref:l,props:o,_owner:u}},t.createContext=function(e,t){return void 0===t&&(t=null),(e={$$typeof:d,_calculateChangedBits:t,_currentValue:e,_currentValue2:e,_threadCount:0,Provider:null,Consumer:null}).Provider={$$typeof:c,_context:e},e.Consumer=e},t.createElement=C,t.createFactory=function(e){var t=C.bind(null,e);return t.type=e,t},t.createRef=function(){return{current:null}},t.forwardRef=function(e){return{$$typeof:f,render:e}},t.isValidElement=O,t.lazy=function(e){return{$$typeof:h,_ctor:e,_status:-1,_result:null}},t.memo=function(e,t){return{$$typeof:m,type:e,compare:void 0===t?null:t}},t.useCallback=function(e,t){return U().useCallback(e,t)},t.useContext=function(e,t){return U().useContext(e,t)},t.useDebugValue=function(){},t.useEffect=function(e,t){return U().useEffect(e,t)},t.useImperativeHandle=function(e,t,n){return U().useImperativeHandle(e,t,n)},t.useLayoutEffect=function(e,t){return U().useLayoutEffect(e,t)},t.useMemo=function(e,t){return U().useMemo(e,t)},t.useReducer=function(e,t,n){return U().useReducer(e,t,n)},t.useRef=function(e){return U().useRef(e)},t.useState=function(e){return U().useState(e)},t.version="16.13.1"},function(e,t,n){"use strict";var r=n(0),o=n(12),a=n(41);function i(e){for(var t="https://reactjs.org/docs/error-decoder.html?invariant="+e,n=1;n<arguments.length;n++)t+="&args[]="+encodeURIComponent(arguments[n]);return"Minified React error #"+e+"; visit "+t+" for the full message or use the non-minified dev environment for full errors and additional helpful warnings."}if(!r)throw Error(i(227));function l(e,t,n,r,o,a,i,l,u){var s=Array.prototype.slice.call(arguments,3);try{t.apply(n,s)}catch(c){this.onError(c)}}var u=!1,s=null,c=!1,d=null,f={onError:function(e){u=!0,s=e}};function p(e,t,n,r,o,a,i,c,d){u=!1,s=null,l.apply(f,arguments)}var m=null,h=null,g=null;function b(e,t,n){var r=e.type||"unknown-event";e.currentTarget=g(n),function(e,t,n,r,o,a,l,f,m){if(p.apply(this,arguments),u){if(!u)throw Error(i(198));var h=s;u=!1,s=null,c||(c=!0,d=h)}}(r,t,void 0,e),e.currentTarget=null}var y=null,v={};function w(){if(y)for(var e in v){var t=v[e],n=y.indexOf(e);if(!(-1<n))throw Error(i(96,e));if(!k[n]){if(!t.extractEvents)throw Error(i(97,e));for(var r in k[n]=t,n=t.eventTypes){var o=void 0,a=n[r],l=t,u=r;if(E.hasOwnProperty(u))throw Error(i(99,u));E[u]=a;var s=a.phasedRegistrationNames;if(s){for(o in s)s.hasOwnProperty(o)&&S(s[o],l,u);o=!0}else a.registrationName?(S(a.registrationName,l,u),o=!0):o=!1;if(!o)throw Error(i(98,r,e))}}}}function S(e,t,n){if(P[e])throw Error(i(100,e));P[e]=t,T[e]=t.eventTypes[n].dependencies}var k=[],E={},P={},T={};function x(e){var t,n=!1;for(t in e)if(e.hasOwnProperty(t)){var r=e[t];if(!v.hasOwnProperty(t)||v[t]!==r){if(v[t])throw Error(i(102,t));v[t]=r,n=!0}}n&&w()}var C=!("undefined"==typeof window||void 0===window.document||void 0===window.document.createElement),O=null,_=null,A=null;function R(e){if(e=h(e)){if("function"!=typeof O)throw Error(i(280));var t=e.stateNode;t&&(t=m(t),O(e.stateNode,e.type,t))}}function N(e){_?A?A.push(e):A=[e]:_=e}function L(){if(_){var e=_,t=A;if(A=_=null,R(e),t)for(e=0;e<t.length;e++)R(t[e])}}function I(e,t){return e(t)}function D(e,t,n,r,o){return e(t,n,r,o)}function j(){}var F=I,M=!1,B=!1;function U(){null===_&&null===A||(j(),L())}function z(e,t,n){if(B)return e(t,n);B=!0;try{return F(e,t,n)}finally{B=!1,U()}}var $=/^[:A-Z_a-z\u00C0-\u00D6\u00D8-\u00F6\u00F8-\u02FF\u0370-\u037D\u037F-\u1FFF\u200C-\u200D\u2070-\u218F\u2C00-\u2FEF\u3001-\uD7FF\uF900-\uFDCF\uFDF0-\uFFFD][:A-Z_a-z\u00C0-\u00D6\u00D8-\u00F6\u00F8-\u02FF\u0370-\u037D\u037F-\u1FFF\u200C-\u200D\u2070-\u218F\u2C00-\u2FEF\u3001-\uD7FF\uF900-\uFDCF\uFDF0-\uFFFD\-.0-9\u00B7\u0300-\u036F\u203F-\u2040]*$/,G=Object.prototype.hasOwnProperty,q={},H={};function W(e,t,n,r,o,a){this.acceptsBooleans=2===t||3===t||4===t,this.attributeName=r,this.attributeNamespace=o,this.mustUseProperty=n,this.propertyName=e,this.type=t,this.sanitizeURL=a}var V={};"children dangerouslySetInnerHTML defaultValue defaultChecked innerHTML suppressContentEditableWarning suppressHydrationWarning style".split(" ").forEach((function(e){V[e]=new W(e,0,!1,e,null,!1)})),[["acceptCharset","accept-charset"],["className","class"],["htmlFor","for"],["httpEquiv","http-equiv"]].forEach((function(e){var t=e[0];V[t]=new W(t,1,!1,e[1],null,!1)})),["contentEditable","draggable","spellCheck","value"].forEach((function(e){V[e]=new W(e,2,!1,e.toLowerCase(),null,!1)})),["autoReverse","externalResourcesRequired","focusable","preserveAlpha"].forEach((function(e){V[e]=new W(e,2,!1,e,null,!1)})),"allowFullScreen async autoFocus autoPlay controls default defer disabled disablePictureInPicture formNoValidate hidden loop noModule noValidate open playsInline readOnly required reversed scoped seamless itemScope".split(" ").forEach((function(e){V[e]=new W(e,3,!1,e.toLowerCase(),null,!1)})),["checked","multiple","muted","selected"].forEach((function(e){V[e]=new W(e,3,!0,e,null,!1)})),["capture","download"].forEach((function(e){V[e]=new W(e,4,!1,e,null,!1)})),["cols","rows","size","span"].forEach((function(e){V[e]=new W(e,6,!1,e,null,!1)})),["rowSpan","start"].forEach((function(e){V[e]=new W(e,5,!1,e.toLowerCase(),null,!1)}));var K=/[\-:]([a-z])/g;function Y(e){return e[1].toUpperCase()}"accent-height alignment-baseline arabic-form baseline-shift cap-height clip-path clip-rule color-interpolation color-interpolation-filters color-profile color-rendering dominant-baseline enable-background fill-opacity fill-rule flood-color flood-opacity font-family font-size font-size-adjust font-stretch font-style font-variant font-weight glyph-name glyph-orientation-horizontal glyph-orientation-vertical horiz-adv-x horiz-origin-x image-rendering letter-spacing lighting-color marker-end marker-mid marker-start overline-position overline-thickness paint-order panose-1 pointer-events rendering-intent shape-rendering stop-color stop-opacity strikethrough-position strikethrough-thickness stroke-dasharray stroke-dashoffset stroke-linecap stroke-linejoin stroke-miterlimit stroke-opacity stroke-width text-anchor text-decoration text-rendering underline-position underline-thickness unicode-bidi unicode-range units-per-em v-alphabetic v-hanging v-ideographic v-mathematical vector-effect vert-adv-y vert-origin-x vert-origin-y word-spacing writing-mode xmlns:xlink x-height".split(" ").forEach((function(e){var t=e.replace(K,Y);V[t]=new W(t,1,!1,e,null,!1)})),"xlink:actuate xlink:arcrole xlink:role xlink:show xlink:title xlink:type".split(" ").forEach((function(e){var t=e.replace(K,Y);V[t]=new W(t,1,!1,e,"http://www.w3.org/1999/xlink",!1)})),["xml:base","xml:lang","xml:space"].forEach((function(e){var t=e.replace(K,Y);V[t]=new W(t,1,!1,e,"http://www.w3.org/XML/1998/namespace",!1)})),["tabIndex","crossOrigin"].forEach((function(e){V[e]=new W(e,1,!1,e.toLowerCase(),null,!1)})),V.xlinkHref=new W("xlinkHref",1,!1,"xlink:href","http://www.w3.org/1999/xlink",!0),["src","href","action","formAction"].forEach((function(e){V[e]=new W(e,1,!1,e.toLowerCase(),null,!0)}));var Q=r.__SECRET_INTERNALS_DO_NOT_USE_OR_YOU_WILL_BE_FIRED;function X(e,t,n,r){var o=V.hasOwnProperty(t)?V[t]:null;(null!==o?0===o.type:!r&&(2<t.length&&("o"===t[0]||"O"===t[0])&&("n"===t[1]||"N"===t[1])))||(function(e,t,n,r){if(null==t||function(e,t,n,r){if(null!==n&&0===n.type)return!1;switch(typeof t){case"function":case"symbol":return!0;case"boolean":return!r&&(null!==n?!n.acceptsBooleans:"data-"!==(e=e.toLowerCase().slice(0,5))&&"aria-"!==e);default:return!1}}(e,t,n,r))return!0;if(r)return!1;if(null!==n)switch(n.type){case 3:return!t;case 4:return!1===t;case 5:return isNaN(t);case 6:return isNaN(t)||1>t}return!1}(t,n,o,r)&&(n=null),r||null===o?function(e){return!!G.call(H,e)||!G.call(q,e)&&($.test(e)?H[e]=!0:(q[e]=!0,!1))}(t)&&(null===n?e.removeAttribute(t):e.setAttribute(t,""+n)):o.mustUseProperty?e[o.propertyName]=null===n?3!==o.type&&"":n:(t=o.attributeName,r=o.attributeNamespace,null===n?e.removeAttribute(t):(n=3===(o=o.type)||4===o&&!0===n?"":""+n,r?e.setAttributeNS(r,t,n):e.setAttribute(t,n))))}Q.hasOwnProperty("ReactCurrentDispatcher")||(Q.ReactCurrentDispatcher={current:null}),Q.hasOwnProperty("ReactCurrentBatchConfig")||(Q.ReactCurrentBatchConfig={suspense:null});var J=/^(.*)[\\\/]/,Z="function"==typeof Symbol&&Symbol.for,ee=Z?Symbol.for("react.element"):60103,te=Z?Symbol.for("react.portal"):60106,ne=Z?Symbol.for("react.fragment"):60107,re=Z?Symbol.for("react.strict_mode"):60108,oe=Z?Symbol.for("react.profiler"):60114,ae=Z?Symbol.for("react.provider"):60109,ie=Z?Symbol.for("react.context"):60110,le=Z?Symbol.for("react.concurrent_mode"):60111,ue=Z?Symbol.for("react.forward_ref"):60112,se=Z?Symbol.for("react.suspense"):60113,ce=Z?Symbol.for("react.suspense_list"):60120,de=Z?Symbol.for("react.memo"):60115,fe=Z?Symbol.for("react.lazy"):60116,pe=Z?Symbol.for("react.block"):60121,me="function"==typeof Symbol&&Symbol.iterator;function he(e){return null===e||"object"!=typeof e?null:"function"==typeof(e=me&&e[me]||e["@@iterator"])?e:null}function ge(e){if(null==e)return null;if("function"==typeof e)return e.displayName||e.name||null;if("string"==typeof e)return e;switch(e){case ne:return"Fragment";case te:return"Portal";case oe:return"Profiler";case re:return"StrictMode";case se:return"Suspense";case ce:return"SuspenseList"}if("object"==typeof e)switch(e.$$typeof){case ie:return"Context.Consumer";case ae:return"Context.Provider";case ue:var t=e.render;return t=t.displayName||t.name||"",e.displayName||(""!==t?"ForwardRef("+t+")":"ForwardRef");case de:return ge(e.type);case pe:return ge(e.render);case fe:if(e=1===e._status?e._result:null)return ge(e)}return null}function be(e){var t="";do{e:switch(e.tag){case 3:case 4:case 6:case 7:case 10:case 9:var n="";break e;default:var r=e._debugOwner,o=e._debugSource,a=ge(e.type);n=null,r&&(n=ge(r.type)),r=a,a="",o?a=" (at "+o.fileName.replace(J,"")+":"+o.lineNumber+")":n&&(a=" (created by "+n+")"),n="\n    in "+(r||"Unknown")+a}t+=n,e=e.return}while(e);return t}function ye(e){switch(typeof e){case"boolean":case"number":case"object":case"string":case"undefined":return e;default:return""}}function ve(e){var t=e.type;return(e=e.nodeName)&&"input"===e.toLowerCase()&&("checkbox"===t||"radio"===t)}function we(e){e._valueTracker||(e._valueTracker=function(e){var t=ve(e)?"checked":"value",n=Object.getOwnPropertyDescriptor(e.constructor.prototype,t),r=""+e[t];if(!e.hasOwnProperty(t)&&void 0!==n&&"function"==typeof n.get&&"function"==typeof n.set){var o=n.get,a=n.set;return Object.defineProperty(e,t,{configurable:!0,get:function(){return o.call(this)},set:function(e){r=""+e,a.call(this,e)}}),Object.defineProperty(e,t,{enumerable:n.enumerable}),{getValue:function(){return r},setValue:function(e){r=""+e},stopTracking:function(){e._valueTracker=null,delete e[t]}}}}(e))}function Se(e){if(!e)return!1;var t=e._valueTracker;if(!t)return!0;var n=t.getValue(),r="";return e&&(r=ve(e)?e.checked?"true":"false":e.value),(e=r)!==n&&(t.setValue(e),!0)}function ke(e,t){var n=t.checked;return o({},t,{defaultChecked:void 0,defaultValue:void 0,value:void 0,checked:null!=n?n:e._wrapperState.initialChecked})}function Ee(e,t){var n=null==t.defaultValue?"":t.defaultValue,r=null!=t.checked?t.checked:t.defaultChecked;n=ye(null!=t.value?t.value:n),e._wrapperState={initialChecked:r,initialValue:n,controlled:"checkbox"===t.type||"radio"===t.type?null!=t.checked:null!=t.value}}function Pe(e,t){null!=(t=t.checked)&&X(e,"checked",t,!1)}function Te(e,t){Pe(e,t);var n=ye(t.value),r=t.type;if(null!=n)"number"===r?(0===n&&""===e.value||e.value!=n)&&(e.value=""+n):e.value!==""+n&&(e.value=""+n);else if("submit"===r||"reset"===r)return void e.removeAttribute("value");t.hasOwnProperty("value")?Ce(e,t.type,n):t.hasOwnProperty("defaultValue")&&Ce(e,t.type,ye(t.defaultValue)),null==t.checked&&null!=t.defaultChecked&&(e.defaultChecked=!!t.defaultChecked)}function xe(e,t,n){if(t.hasOwnProperty("value")||t.hasOwnProperty("defaultValue")){var r=t.type;if(!("submit"!==r&&"reset"!==r||void 0!==t.value&&null!==t.value))return;t=""+e._wrapperState.initialValue,n||t===e.value||(e.value=t),e.defaultValue=t}""!==(n=e.name)&&(e.name=""),e.defaultChecked=!!e._wrapperState.initialChecked,""!==n&&(e.name=n)}function Ce(e,t,n){"number"===t&&e.ownerDocument.activeElement===e||(null==n?e.defaultValue=""+e._wrapperState.initialValue:e.defaultValue!==""+n&&(e.defaultValue=""+n))}function Oe(e,t){return e=o({children:void 0},t),(t=function(e){var t="";return r.Children.forEach(e,(function(e){null!=e&&(t+=e)})),t}(t.children))&&(e.children=t),e}function _e(e,t,n,r){if(e=e.options,t){t={};for(var o=0;o<n.length;o++)t["$"+n[o]]=!0;for(n=0;n<e.length;n++)o=t.hasOwnProperty("$"+e[n].value),e[n].selected!==o&&(e[n].selected=o),o&&r&&(e[n].defaultSelected=!0)}else{for(n=""+ye(n),t=null,o=0;o<e.length;o++){if(e[o].value===n)return e[o].selected=!0,void(r&&(e[o].defaultSelected=!0));null!==t||e[o].disabled||(t=e[o])}null!==t&&(t.selected=!0)}}function Ae(e,t){if(null!=t.dangerouslySetInnerHTML)throw Error(i(91));return o({},t,{value:void 0,defaultValue:void 0,children:""+e._wrapperState.initialValue})}function Re(e,t){var n=t.value;if(null==n){if(n=t.children,t=t.defaultValue,null!=n){if(null!=t)throw Error(i(92));if(Array.isArray(n)){if(!(1>=n.length))throw Error(i(93));n=n[0]}t=n}null==t&&(t=""),n=t}e._wrapperState={initialValue:ye(n)}}function Ne(e,t){var n=ye(t.value),r=ye(t.defaultValue);null!=n&&((n=""+n)!==e.value&&(e.value=n),null==t.defaultValue&&e.defaultValue!==n&&(e.defaultValue=n)),null!=r&&(e.defaultValue=""+r)}function Le(e){var t=e.textContent;t===e._wrapperState.initialValue&&""!==t&&null!==t&&(e.value=t)}var Ie="http://www.w3.org/1999/xhtml",De="http://www.w3.org/2000/svg";function je(e){switch(e){case"svg":return"http://www.w3.org/2000/svg";case"math":return"http://www.w3.org/1998/Math/MathML";default:return"http://www.w3.org/1999/xhtml"}}function Fe(e,t){return null==e||"http://www.w3.org/1999/xhtml"===e?je(t):"http://www.w3.org/2000/svg"===e&&"foreignObject"===t?"http://www.w3.org/1999/xhtml":e}var Me,Be,Ue=(Be=function(e,t){if(e.namespaceURI!==De||"innerHTML"in e)e.innerHTML=t;else{for((Me=Me||document.createElement("div")).innerHTML="<svg>"+t.valueOf().toString()+"</svg>",t=Me.firstChild;e.firstChild;)e.removeChild(e.firstChild);for(;t.firstChild;)e.appendChild(t.firstChild)}},"undefined"!=typeof MSApp&&MSApp.execUnsafeLocalFunction?function(e,t,n,r){MSApp.execUnsafeLocalFunction((function(){return Be(e,t)}))}:Be);function ze(e,t){if(t){var n=e.firstChild;if(n&&n===e.lastChild&&3===n.nodeType)return void(n.nodeValue=t)}e.textContent=t}function $e(e,t){var n={};return n[e.toLowerCase()]=t.toLowerCase(),n["Webkit"+e]="webkit"+t,n["Moz"+e]="moz"+t,n}var Ge={animationend:$e("Animation","AnimationEnd"),animationiteration:$e("Animation","AnimationIteration"),animationstart:$e("Animation","AnimationStart"),transitionend:$e("Transition","TransitionEnd")},qe={},He={};function We(e){if(qe[e])return qe[e];if(!Ge[e])return e;var t,n=Ge[e];for(t in n)if(n.hasOwnProperty(t)&&t in He)return qe[e]=n[t];return e}C&&(He=document.createElement("div").style,"AnimationEvent"in window||(delete Ge.animationend.animation,delete Ge.animationiteration.animation,delete Ge.animationstart.animation),"TransitionEvent"in window||delete Ge.transitionend.transition);var Ve=We("animationend"),Ke=We("animationiteration"),Ye=We("animationstart"),Qe=We("transitionend"),Xe="abort canplay canplaythrough durationchange emptied encrypted ended error loadeddata loadedmetadata loadstart pause play playing progress ratechange seeked seeking stalled suspend timeupdate volumechange waiting".split(" "),Je=new("function"==typeof WeakMap?WeakMap:Map);function Ze(e){var t=Je.get(e);return void 0===t&&(t=new Map,Je.set(e,t)),t}function et(e){var t=e,n=e;if(e.alternate)for(;t.return;)t=t.return;else{e=t;do{0!=(1026&(t=e).effectTag)&&(n=t.return),e=t.return}while(e)}return 3===t.tag?n:null}function tt(e){if(13===e.tag){var t=e.memoizedState;if(null===t&&(null!==(e=e.alternate)&&(t=e.memoizedState)),null!==t)return t.dehydrated}return null}function nt(e){if(et(e)!==e)throw Error(i(188))}function rt(e){if(!(e=function(e){var t=e.alternate;if(!t){if(null===(t=et(e)))throw Error(i(188));return t!==e?null:e}for(var n=e,r=t;;){var o=n.return;if(null===o)break;var a=o.alternate;if(null===a){if(null!==(r=o.return)){n=r;continue}break}if(o.child===a.child){for(a=o.child;a;){if(a===n)return nt(o),e;if(a===r)return nt(o),t;a=a.sibling}throw Error(i(188))}if(n.return!==r.return)n=o,r=a;else{for(var l=!1,u=o.child;u;){if(u===n){l=!0,n=o,r=a;break}if(u===r){l=!0,r=o,n=a;break}u=u.sibling}if(!l){for(u=a.child;u;){if(u===n){l=!0,n=a,r=o;break}if(u===r){l=!0,r=a,n=o;break}u=u.sibling}if(!l)throw Error(i(189))}}if(n.alternate!==r)throw Error(i(190))}if(3!==n.tag)throw Error(i(188));return n.stateNode.current===n?e:t}(e)))return null;for(var t=e;;){if(5===t.tag||6===t.tag)return t;if(t.child)t.child.return=t,t=t.child;else{if(t===e)break;for(;!t.sibling;){if(!t.return||t.return===e)return null;t=t.return}t.sibling.return=t.return,t=t.sibling}}return null}function ot(e,t){if(null==t)throw Error(i(30));return null==e?t:Array.isArray(e)?Array.isArray(t)?(e.push.apply(e,t),e):(e.push(t),e):Array.isArray(t)?[e].concat(t):[e,t]}function at(e,t,n){Array.isArray(e)?e.forEach(t,n):e&&t.call(n,e)}var it=null;function lt(e){if(e){var t=e._dispatchListeners,n=e._dispatchInstances;if(Array.isArray(t))for(var r=0;r<t.length&&!e.isPropagationStopped();r++)b(e,t[r],n[r]);else t&&b(e,t,n);e._dispatchListeners=null,e._dispatchInstances=null,e.isPersistent()||e.constructor.release(e)}}function ut(e){if(null!==e&&(it=ot(it,e)),e=it,it=null,e){if(at(e,lt),it)throw Error(i(95));if(c)throw e=d,c=!1,d=null,e}}function st(e){return(e=e.target||e.srcElement||window).correspondingUseElement&&(e=e.correspondingUseElement),3===e.nodeType?e.parentNode:e}function ct(e){if(!C)return!1;var t=(e="on"+e)in document;return t||((t=document.createElement("div")).setAttribute(e,"return;"),t="function"==typeof t[e]),t}var dt=[];function ft(e){e.topLevelType=null,e.nativeEvent=null,e.targetInst=null,e.ancestors.length=0,10>dt.length&&dt.push(e)}function pt(e,t,n,r){if(dt.length){var o=dt.pop();return o.topLevelType=e,o.eventSystemFlags=r,o.nativeEvent=t,o.targetInst=n,o}return{topLevelType:e,eventSystemFlags:r,nativeEvent:t,targetInst:n,ancestors:[]}}function mt(e){var t=e.targetInst,n=t;do{if(!n){e.ancestors.push(n);break}var r=n;if(3===r.tag)r=r.stateNode.containerInfo;else{for(;r.return;)r=r.return;r=3!==r.tag?null:r.stateNode.containerInfo}if(!r)break;5!==(t=n.tag)&&6!==t||e.ancestors.push(n),n=Rn(r)}while(n);for(n=0;n<e.ancestors.length;n++){t=e.ancestors[n];var o=st(e.nativeEvent);r=e.topLevelType;var a=e.nativeEvent,i=e.eventSystemFlags;0===n&&(i|=64);for(var l=null,u=0;u<k.length;u++){var s=k[u];s&&(s=s.extractEvents(r,t,a,o,i))&&(l=ot(l,s))}ut(l)}}function ht(e,t,n){if(!n.has(e)){switch(e){case"scroll":Yt(t,"scroll",!0);break;case"focus":case"blur":Yt(t,"focus",!0),Yt(t,"blur",!0),n.set("blur",null),n.set("focus",null);break;case"cancel":case"close":ct(e)&&Yt(t,e,!0);break;case"invalid":case"submit":case"reset":break;default:-1===Xe.indexOf(e)&&Kt(e,t)}n.set(e,null)}}var gt,bt,yt,vt=!1,wt=[],St=null,kt=null,Et=null,Pt=new Map,Tt=new Map,xt=[],Ct="mousedown mouseup touchcancel touchend touchstart auxclick dblclick pointercancel pointerdown pointerup dragend dragstart drop compositionend compositionstart keydown keypress keyup input textInput close cancel copy cut paste click change contextmenu reset submit".split(" "),Ot="focus blur dragenter dragleave mouseover mouseout pointerover pointerout gotpointercapture lostpointercapture".split(" ");function _t(e,t,n,r,o){return{blockedOn:e,topLevelType:t,eventSystemFlags:32|n,nativeEvent:o,container:r}}function At(e,t){switch(e){case"focus":case"blur":St=null;break;case"dragenter":case"dragleave":kt=null;break;case"mouseover":case"mouseout":Et=null;break;case"pointerover":case"pointerout":Pt.delete(t.pointerId);break;case"gotpointercapture":case"lostpointercapture":Tt.delete(t.pointerId)}}function Rt(e,t,n,r,o,a){return null===e||e.nativeEvent!==a?(e=_t(t,n,r,o,a),null!==t&&(null!==(t=Nn(t))&&bt(t)),e):(e.eventSystemFlags|=r,e)}function Nt(e){var t=Rn(e.target);if(null!==t){var n=et(t);if(null!==n)if(13===(t=n.tag)){if(null!==(t=tt(n)))return e.blockedOn=t,void a.unstable_runWithPriority(e.priority,(function(){yt(n)}))}else if(3===t&&n.stateNode.hydrate)return void(e.blockedOn=3===n.tag?n.stateNode.containerInfo:null)}e.blockedOn=null}function Lt(e){if(null!==e.blockedOn)return!1;var t=Zt(e.topLevelType,e.eventSystemFlags,e.container,e.nativeEvent);if(null!==t){var n=Nn(t);return null!==n&&bt(n),e.blockedOn=t,!1}return!0}function It(e,t,n){Lt(e)&&n.delete(t)}function Dt(){for(vt=!1;0<wt.length;){var e=wt[0];if(null!==e.blockedOn){null!==(e=Nn(e.blockedOn))&&gt(e);break}var t=Zt(e.topLevelType,e.eventSystemFlags,e.container,e.nativeEvent);null!==t?e.blockedOn=t:wt.shift()}null!==St&&Lt(St)&&(St=null),null!==kt&&Lt(kt)&&(kt=null),null!==Et&&Lt(Et)&&(Et=null),Pt.forEach(It),Tt.forEach(It)}function jt(e,t){e.blockedOn===t&&(e.blockedOn=null,vt||(vt=!0,a.unstable_scheduleCallback(a.unstable_NormalPriority,Dt)))}function Ft(e){function t(t){return jt(t,e)}if(0<wt.length){jt(wt[0],e);for(var n=1;n<wt.length;n++){var r=wt[n];r.blockedOn===e&&(r.blockedOn=null)}}for(null!==St&&jt(St,e),null!==kt&&jt(kt,e),null!==Et&&jt(Et,e),Pt.forEach(t),Tt.forEach(t),n=0;n<xt.length;n++)(r=xt[n]).blockedOn===e&&(r.blockedOn=null);for(;0<xt.length&&null===(n=xt[0]).blockedOn;)Nt(n),null===n.blockedOn&&xt.shift()}var Mt={},Bt=new Map,Ut=new Map,zt=["abort","abort",Ve,"animationEnd",Ke,"animationIteration",Ye,"animationStart","canplay","canPlay","canplaythrough","canPlayThrough","durationchange","durationChange","emptied","emptied","encrypted","encrypted","ended","ended","error","error","gotpointercapture","gotPointerCapture","load","load","loadeddata","loadedData","loadedmetadata","loadedMetadata","loadstart","loadStart","lostpointercapture","lostPointerCapture","playing","playing","progress","progress","seeking","seeking","stalled","stalled","suspend","suspend","timeupdate","timeUpdate",Qe,"transitionEnd","waiting","waiting"];function $t(e,t){for(var n=0;n<e.length;n+=2){var r=e[n],o=e[n+1],a="on"+(o[0].toUpperCase()+o.slice(1));a={phasedRegistrationNames:{bubbled:a,captured:a+"Capture"},dependencies:[r],eventPriority:t},Ut.set(r,t),Bt.set(r,a),Mt[o]=a}}$t("blur blur cancel cancel click click close close contextmenu contextMenu copy copy cut cut auxclick auxClick dblclick doubleClick dragend dragEnd dragstart dragStart drop drop focus focus input input invalid invalid keydown keyDown keypress keyPress keyup keyUp mousedown mouseDown mouseup mouseUp paste paste pause pause play play pointercancel pointerCancel pointerdown pointerDown pointerup pointerUp ratechange rateChange reset reset seeked seeked submit submit touchcancel touchCancel touchend touchEnd touchstart touchStart volumechange volumeChange".split(" "),0),$t("drag drag dragenter dragEnter dragexit dragExit dragleave dragLeave dragover dragOver mousemove mouseMove mouseout mouseOut mouseover mouseOver pointermove pointerMove pointerout pointerOut pointerover pointerOver scroll scroll toggle toggle touchmove touchMove wheel wheel".split(" "),1),$t(zt,2);for(var Gt="change selectionchange textInput compositionstart compositionend compositionupdate".split(" "),qt=0;qt<Gt.length;qt++)Ut.set(Gt[qt],0);var Ht=a.unstable_UserBlockingPriority,Wt=a.unstable_runWithPriority,Vt=!0;function Kt(e,t){Yt(t,e,!1)}function Yt(e,t,n){var r=Ut.get(t);switch(void 0===r?2:r){case 0:r=Qt.bind(null,t,1,e);break;case 1:r=Xt.bind(null,t,1,e);break;default:r=Jt.bind(null,t,1,e)}n?e.addEventListener(t,r,!0):e.addEventListener(t,r,!1)}function Qt(e,t,n,r){M||j();var o=Jt,a=M;M=!0;try{D(o,e,t,n,r)}finally{(M=a)||U()}}function Xt(e,t,n,r){Wt(Ht,Jt.bind(null,e,t,n,r))}function Jt(e,t,n,r){if(Vt)if(0<wt.length&&-1<Ct.indexOf(e))e=_t(null,e,t,n,r),wt.push(e);else{var o=Zt(e,t,n,r);if(null===o)At(e,r);else if(-1<Ct.indexOf(e))e=_t(o,e,t,n,r),wt.push(e);else if(!function(e,t,n,r,o){switch(t){case"focus":return St=Rt(St,e,t,n,r,o),!0;case"dragenter":return kt=Rt(kt,e,t,n,r,o),!0;case"mouseover":return Et=Rt(Et,e,t,n,r,o),!0;case"pointerover":var a=o.pointerId;return Pt.set(a,Rt(Pt.get(a)||null,e,t,n,r,o)),!0;case"gotpointercapture":return a=o.pointerId,Tt.set(a,Rt(Tt.get(a)||null,e,t,n,r,o)),!0}return!1}(o,e,t,n,r)){At(e,r),e=pt(e,r,null,t);try{z(mt,e)}finally{ft(e)}}}}function Zt(e,t,n,r){if(null!==(n=Rn(n=st(r)))){var o=et(n);if(null===o)n=null;else{var a=o.tag;if(13===a){if(null!==(n=tt(o)))return n;n=null}else if(3===a){if(o.stateNode.hydrate)return 3===o.tag?o.stateNode.containerInfo:null;n=null}else o!==n&&(n=null)}}e=pt(e,r,n,t);try{z(mt,e)}finally{ft(e)}return null}var en={animationIterationCount:!0,borderImageOutset:!0,borderImageSlice:!0,borderImageWidth:!0,boxFlex:!0,boxFlexGroup:!0,boxOrdinalGroup:!0,columnCount:!0,columns:!0,flex:!0,flexGrow:!0,flexPositive:!0,flexShrink:!0,flexNegative:!0,flexOrder:!0,gridArea:!0,gridRow:!0,gridRowEnd:!0,gridRowSpan:!0,gridRowStart:!0,gridColumn:!0,gridColumnEnd:!0,gridColumnSpan:!0,gridColumnStart:!0,fontWeight:!0,lineClamp:!0,lineHeight:!0,opacity:!0,order:!0,orphans:!0,tabSize:!0,widows:!0,zIndex:!0,zoom:!0,fillOpacity:!0,floodOpacity:!0,stopOpacity:!0,strokeDasharray:!0,strokeDashoffset:!0,strokeMiterlimit:!0,strokeOpacity:!0,strokeWidth:!0},tn=["Webkit","ms","Moz","O"];function nn(e,t,n){return null==t||"boolean"==typeof t||""===t?"":n||"number"!=typeof t||0===t||en.hasOwnProperty(e)&&en[e]?(""+t).trim():t+"px"}function rn(e,t){for(var n in e=e.style,t)if(t.hasOwnProperty(n)){var r=0===n.indexOf("--"),o=nn(n,t[n],r);"float"===n&&(n="cssFloat"),r?e.setProperty(n,o):e[n]=o}}Object.keys(en).forEach((function(e){tn.forEach((function(t){t=t+e.charAt(0).toUpperCase()+e.substring(1),en[t]=en[e]}))}));var on=o({menuitem:!0},{area:!0,base:!0,br:!0,col:!0,embed:!0,hr:!0,img:!0,input:!0,keygen:!0,link:!0,meta:!0,param:!0,source:!0,track:!0,wbr:!0});function an(e,t){if(t){if(on[e]&&(null!=t.children||null!=t.dangerouslySetInnerHTML))throw Error(i(137,e,""));if(null!=t.dangerouslySetInnerHTML){if(null!=t.children)throw Error(i(60));if("object"!=typeof t.dangerouslySetInnerHTML||!("__html"in t.dangerouslySetInnerHTML))throw Error(i(61))}if(null!=t.style&&"object"!=typeof t.style)throw Error(i(62,""))}}function ln(e,t){if(-1===e.indexOf("-"))return"string"==typeof t.is;switch(e){case"annotation-xml":case"color-profile":case"font-face":case"font-face-src":case"font-face-uri":case"font-face-format":case"font-face-name":case"missing-glyph":return!1;default:return!0}}var un=Ie;function sn(e,t){var n=Ze(e=9===e.nodeType||11===e.nodeType?e:e.ownerDocument);t=T[t];for(var r=0;r<t.length;r++)ht(t[r],e,n)}function cn(){}function dn(e){if(void 0===(e=e||("undefined"!=typeof document?document:void 0)))return null;try{return e.activeElement||e.body}catch(t){return e.body}}function fn(e){for(;e&&e.firstChild;)e=e.firstChild;return e}function pn(e,t){var n,r=fn(e);for(e=0;r;){if(3===r.nodeType){if(n=e+r.textContent.length,e<=t&&n>=t)return{node:r,offset:t-e};e=n}e:{for(;r;){if(r.nextSibling){r=r.nextSibling;break e}r=r.parentNode}r=void 0}r=fn(r)}}function mn(e,t){return!(!e||!t)&&(e===t||(!e||3!==e.nodeType)&&(t&&3===t.nodeType?mn(e,t.parentNode):"contains"in e?e.contains(t):!!e.compareDocumentPosition&&!!(16&e.compareDocumentPosition(t))))}function hn(){for(var e=window,t=dn();t instanceof e.HTMLIFrameElement;){try{var n="string"==typeof t.contentWindow.location.href}catch(r){n=!1}if(!n)break;t=dn((e=t.contentWindow).document)}return t}function gn(e){var t=e&&e.nodeName&&e.nodeName.toLowerCase();return t&&("input"===t&&("text"===e.type||"search"===e.type||"tel"===e.type||"url"===e.type||"password"===e.type)||"textarea"===t||"true"===e.contentEditable)}var bn="$?",yn="$!",vn=null,wn=null;function Sn(e,t){switch(e){case"button":case"input":case"select":case"textarea":return!!t.autoFocus}return!1}function kn(e,t){return"textarea"===e||"option"===e||"noscript"===e||"string"==typeof t.children||"number"==typeof t.children||"object"==typeof t.dangerouslySetInnerHTML&&null!==t.dangerouslySetInnerHTML&&null!=t.dangerouslySetInnerHTML.__html}var En="function"==typeof setTimeout?setTimeout:void 0,Pn="function"==typeof clearTimeout?clearTimeout:void 0;function Tn(e){for(;null!=e;e=e.nextSibling){var t=e.nodeType;if(1===t||3===t)break}return e}function xn(e){e=e.previousSibling;for(var t=0;e;){if(8===e.nodeType){var n=e.data;if("$"===n||n===yn||n===bn){if(0===t)return e;t--}else"/$"===n&&t++}e=e.previousSibling}return null}var Cn=Math.random().toString(36).slice(2),On="__reactInternalInstance$"+Cn,_n="__reactEventHandlers$"+Cn,An="__reactContainere$"+Cn;function Rn(e){var t=e[On];if(t)return t;for(var n=e.parentNode;n;){if(t=n[An]||n[On]){if(n=t.alternate,null!==t.child||null!==n&&null!==n.child)for(e=xn(e);null!==e;){if(n=e[On])return n;e=xn(e)}return t}n=(e=n).parentNode}return null}function Nn(e){return!(e=e[On]||e[An])||5!==e.tag&&6!==e.tag&&13!==e.tag&&3!==e.tag?null:e}function Ln(e){if(5===e.tag||6===e.tag)return e.stateNode;throw Error(i(33))}function In(e){return e[_n]||null}function Dn(e){do{e=e.return}while(e&&5!==e.tag);return e||null}function jn(e,t){var n=e.stateNode;if(!n)return null;var r=m(n);if(!r)return null;n=r[t];e:switch(t){case"onClick":case"onClickCapture":case"onDoubleClick":case"onDoubleClickCapture":case"onMouseDown":case"onMouseDownCapture":case"onMouseMove":case"onMouseMoveCapture":case"onMouseUp":case"onMouseUpCapture":case"onMouseEnter":(r=!r.disabled)||(r=!("button"===(e=e.type)||"input"===e||"select"===e||"textarea"===e)),e=!r;break e;default:e=!1}if(e)return null;if(n&&"function"!=typeof n)throw Error(i(231,t,typeof n));return n}function Fn(e,t,n){(t=jn(e,n.dispatchConfig.phasedRegistrationNames[t]))&&(n._dispatchListeners=ot(n._dispatchListeners,t),n._dispatchInstances=ot(n._dispatchInstances,e))}function Mn(e){if(e&&e.dispatchConfig.phasedRegistrationNames){for(var t=e._targetInst,n=[];t;)n.push(t),t=Dn(t);for(t=n.length;0<t--;)Fn(n[t],"captured",e);for(t=0;t<n.length;t++)Fn(n[t],"bubbled",e)}}function Bn(e,t,n){e&&n&&n.dispatchConfig.registrationName&&(t=jn(e,n.dispatchConfig.registrationName))&&(n._dispatchListeners=ot(n._dispatchListeners,t),n._dispatchInstances=ot(n._dispatchInstances,e))}function Un(e){e&&e.dispatchConfig.registrationName&&Bn(e._targetInst,null,e)}function zn(e){at(e,Mn)}var $n=null,Gn=null,qn=null;function Hn(){if(qn)return qn;var e,t,n=Gn,r=n.length,o="value"in $n?$n.value:$n.textContent,a=o.length;for(e=0;e<r&&n[e]===o[e];e++);var i=r-e;for(t=1;t<=i&&n[r-t]===o[a-t];t++);return qn=o.slice(e,1<t?1-t:void 0)}function Wn(){return!0}function Vn(){return!1}function Kn(e,t,n,r){for(var o in this.dispatchConfig=e,this._targetInst=t,this.nativeEvent=n,e=this.constructor.Interface)e.hasOwnProperty(o)&&((t=e[o])?this[o]=t(n):"target"===o?this.target=r:this[o]=n[o]);return this.isDefaultPrevented=(null!=n.defaultPrevented?n.defaultPrevented:!1===n.returnValue)?Wn:Vn,this.isPropagationStopped=Vn,this}function Yn(e,t,n,r){if(this.eventPool.length){var o=this.eventPool.pop();return this.call(o,e,t,n,r),o}return new this(e,t,n,r)}function Qn(e){if(!(e instanceof this))throw Error(i(279));e.destructor(),10>this.eventPool.length&&this.eventPool.push(e)}function Xn(e){e.eventPool=[],e.getPooled=Yn,e.release=Qn}o(Kn.prototype,{preventDefault:function(){this.defaultPrevented=!0;var e=this.nativeEvent;e&&(e.preventDefault?e.preventDefault():"unknown"!=typeof e.returnValue&&(e.returnValue=!1),this.isDefaultPrevented=Wn)},stopPropagation:function(){var e=this.nativeEvent;e&&(e.stopPropagation?e.stopPropagation():"unknown"!=typeof e.cancelBubble&&(e.cancelBubble=!0),this.isPropagationStopped=Wn)},persist:function(){this.isPersistent=Wn},isPersistent:Vn,destructor:function(){var e,t=this.constructor.Interface;for(e in t)this[e]=null;this.nativeEvent=this._targetInst=this.dispatchConfig=null,this.isPropagationStopped=this.isDefaultPrevented=Vn,this._dispatchInstances=this._dispatchListeners=null}}),Kn.Interface={type:null,target:null,currentTarget:function(){return null},eventPhase:null,bubbles:null,cancelable:null,timeStamp:function(e){return e.timeStamp||Date.now()},defaultPrevented:null,isTrusted:null},Kn.extend=function(e){function t(){}function n(){return r.apply(this,arguments)}var r=this;t.prototype=r.prototype;var a=new t;return o(a,n.prototype),n.prototype=a,n.prototype.constructor=n,n.Interface=o({},r.Interface,e),n.extend=r.extend,Xn(n),n},Xn(Kn);var Jn=Kn.extend({data:null}),Zn=Kn.extend({data:null}),er=[9,13,27,32],tr=C&&"CompositionEvent"in window,nr=null;C&&"documentMode"in document&&(nr=document.documentMode);var rr=C&&"TextEvent"in window&&!nr,or=C&&(!tr||nr&&8<nr&&11>=nr),ar=String.fromCharCode(32),ir={beforeInput:{phasedRegistrationNames:{bubbled:"onBeforeInput",captured:"onBeforeInputCapture"},dependencies:["compositionend","keypress","textInput","paste"]},compositionEnd:{phasedRegistrationNames:{bubbled:"onCompositionEnd",captured:"onCompositionEndCapture"},dependencies:"blur compositionend keydown keypress keyup mousedown".split(" ")},compositionStart:{phasedRegistrationNames:{bubbled:"onCompositionStart",captured:"onCompositionStartCapture"},dependencies:"blur compositionstart keydown keypress keyup mousedown".split(" ")},compositionUpdate:{phasedRegistrationNames:{bubbled:"onCompositionUpdate",captured:"onCompositionUpdateCapture"},dependencies:"blur compositionupdate keydown keypress keyup mousedown".split(" ")}},lr=!1;function ur(e,t){switch(e){case"keyup":return-1!==er.indexOf(t.keyCode);case"keydown":return 229!==t.keyCode;case"keypress":case"mousedown":case"blur":return!0;default:return!1}}function sr(e){return"object"==typeof(e=e.detail)&&"data"in e?e.data:null}var cr=!1;var dr={eventTypes:ir,extractEvents:function(e,t,n,r){var o;if(tr)e:{switch(e){case"compositionstart":var a=ir.compositionStart;break e;case"compositionend":a=ir.compositionEnd;break e;case"compositionupdate":a=ir.compositionUpdate;break e}a=void 0}else cr?ur(e,n)&&(a=ir.compositionEnd):"keydown"===e&&229===n.keyCode&&(a=ir.compositionStart);return a?(or&&"ko"!==n.locale&&(cr||a!==ir.compositionStart?a===ir.compositionEnd&&cr&&(o=Hn()):(Gn="value"in($n=r)?$n.value:$n.textContent,cr=!0)),a=Jn.getPooled(a,t,n,r),o?a.data=o:null!==(o=sr(n))&&(a.data=o),zn(a),o=a):o=null,(e=rr?function(e,t){switch(e){case"compositionend":return sr(t);case"keypress":return 32!==t.which?null:(lr=!0,ar);case"textInput":return(e=t.data)===ar&&lr?null:e;default:return null}}(e,n):function(e,t){if(cr)return"compositionend"===e||!tr&&ur(e,t)?(e=Hn(),qn=Gn=$n=null,cr=!1,e):null;switch(e){case"paste":return null;case"keypress":if(!(t.ctrlKey||t.altKey||t.metaKey)||t.ctrlKey&&t.altKey){if(t.char&&1<t.char.length)return t.char;if(t.which)return String.fromCharCode(t.which)}return null;case"compositionend":return or&&"ko"!==t.locale?null:t.data;default:return null}}(e,n))?((t=Zn.getPooled(ir.beforeInput,t,n,r)).data=e,zn(t)):t=null,null===o?t:null===t?o:[o,t]}},fr={color:!0,date:!0,datetime:!0,"datetime-local":!0,email:!0,month:!0,number:!0,password:!0,range:!0,search:!0,tel:!0,text:!0,time:!0,url:!0,week:!0};function pr(e){var t=e&&e.nodeName&&e.nodeName.toLowerCase();return"input"===t?!!fr[e.type]:"textarea"===t}var mr={change:{phasedRegistrationNames:{bubbled:"onChange",captured:"onChangeCapture"},dependencies:"blur change click focus input keydown keyup selectionchange".split(" ")}};function hr(e,t,n){return(e=Kn.getPooled(mr.change,e,t,n)).type="change",N(n),zn(e),e}var gr=null,br=null;function yr(e){ut(e)}function vr(e){if(Se(Ln(e)))return e}function wr(e,t){if("change"===e)return t}var Sr=!1;function kr(){gr&&(gr.detachEvent("onpropertychange",Er),br=gr=null)}function Er(e){if("value"===e.propertyName&&vr(br))if(e=hr(br,e,st(e)),M)ut(e);else{M=!0;try{I(yr,e)}finally{M=!1,U()}}}function Pr(e,t,n){"focus"===e?(kr(),br=n,(gr=t).attachEvent("onpropertychange",Er)):"blur"===e&&kr()}function Tr(e){if("selectionchange"===e||"keyup"===e||"keydown"===e)return vr(br)}function xr(e,t){if("click"===e)return vr(t)}function Cr(e,t){if("input"===e||"change"===e)return vr(t)}C&&(Sr=ct("input")&&(!document.documentMode||9<document.documentMode));var Or={eventTypes:mr,_isInputEventSupported:Sr,extractEvents:function(e,t,n,r){var o=t?Ln(t):window,a=o.nodeName&&o.nodeName.toLowerCase();if("select"===a||"input"===a&&"file"===o.type)var i=wr;else if(pr(o))if(Sr)i=Cr;else{i=Tr;var l=Pr}else(a=o.nodeName)&&"input"===a.toLowerCase()&&("checkbox"===o.type||"radio"===o.type)&&(i=xr);if(i&&(i=i(e,t)))return hr(i,n,r);l&&l(e,o,t),"blur"===e&&(e=o._wrapperState)&&e.controlled&&"number"===o.type&&Ce(o,"number",o.value)}},_r=Kn.extend({view:null,detail:null}),Ar={Alt:"altKey",Control:"ctrlKey",Meta:"metaKey",Shift:"shiftKey"};function Rr(e){var t=this.nativeEvent;return t.getModifierState?t.getModifierState(e):!!(e=Ar[e])&&!!t[e]}function Nr(){return Rr}var Lr=0,Ir=0,Dr=!1,jr=!1,Fr=_r.extend({screenX:null,screenY:null,clientX:null,clientY:null,pageX:null,pageY:null,ctrlKey:null,shiftKey:null,altKey:null,metaKey:null,getModifierState:Nr,button:null,buttons:null,relatedTarget:function(e){return e.relatedTarget||(e.fromElement===e.srcElement?e.toElement:e.fromElement)},movementX:function(e){if("movementX"in e)return e.movementX;var t=Lr;return Lr=e.screenX,Dr?"mousemove"===e.type?e.screenX-t:0:(Dr=!0,0)},movementY:function(e){if("movementY"in e)return e.movementY;var t=Ir;return Ir=e.screenY,jr?"mousemove"===e.type?e.screenY-t:0:(jr=!0,0)}}),Mr=Fr.extend({pointerId:null,width:null,height:null,pressure:null,tangentialPressure:null,tiltX:null,tiltY:null,twist:null,pointerType:null,isPrimary:null}),Br={mouseEnter:{registrationName:"onMouseEnter",dependencies:["mouseout","mouseover"]},mouseLeave:{registrationName:"onMouseLeave",dependencies:["mouseout","mouseover"]},pointerEnter:{registrationName:"onPointerEnter",dependencies:["pointerout","pointerover"]},pointerLeave:{registrationName:"onPointerLeave",dependencies:["pointerout","pointerover"]}},Ur={eventTypes:Br,extractEvents:function(e,t,n,r,o){var a="mouseover"===e||"pointerover"===e,i="mouseout"===e||"pointerout"===e;if(a&&0==(32&o)&&(n.relatedTarget||n.fromElement)||!i&&!a)return null;(a=r.window===r?r:(a=r.ownerDocument)?a.defaultView||a.parentWindow:window,i)?(i=t,null!==(t=(t=n.relatedTarget||n.toElement)?Rn(t):null)&&(t!==et(t)||5!==t.tag&&6!==t.tag)&&(t=null)):i=null;if(i===t)return null;if("mouseout"===e||"mouseover"===e)var l=Fr,u=Br.mouseLeave,s=Br.mouseEnter,c="mouse";else"pointerout"!==e&&"pointerover"!==e||(l=Mr,u=Br.pointerLeave,s=Br.pointerEnter,c="pointer");if(e=null==i?a:Ln(i),a=null==t?a:Ln(t),(u=l.getPooled(u,i,n,r)).type=c+"leave",u.target=e,u.relatedTarget=a,(n=l.getPooled(s,t,n,r)).type=c+"enter",n.target=a,n.relatedTarget=e,c=t,(r=i)&&c)e:{for(s=c,i=0,e=l=r;e;e=Dn(e))i++;for(e=0,t=s;t;t=Dn(t))e++;for(;0<i-e;)l=Dn(l),i--;for(;0<e-i;)s=Dn(s),e--;for(;i--;){if(l===s||l===s.alternate)break e;l=Dn(l),s=Dn(s)}l=null}else l=null;for(s=l,l=[];r&&r!==s&&(null===(i=r.alternate)||i!==s);)l.push(r),r=Dn(r);for(r=[];c&&c!==s&&(null===(i=c.alternate)||i!==s);)r.push(c),c=Dn(c);for(c=0;c<l.length;c++)Bn(l[c],"bubbled",u);for(c=r.length;0<c--;)Bn(r[c],"captured",n);return 0==(64&o)?[u]:[u,n]}};var zr="function"==typeof Object.is?Object.is:function(e,t){return e===t&&(0!==e||1/e==1/t)||e!=e&&t!=t},$r=Object.prototype.hasOwnProperty;function Gr(e,t){if(zr(e,t))return!0;if("object"!=typeof e||null===e||"object"!=typeof t||null===t)return!1;var n=Object.keys(e),r=Object.keys(t);if(n.length!==r.length)return!1;for(r=0;r<n.length;r++)if(!$r.call(t,n[r])||!zr(e[n[r]],t[n[r]]))return!1;return!0}var qr=C&&"documentMode"in document&&11>=document.documentMode,Hr={select:{phasedRegistrationNames:{bubbled:"onSelect",captured:"onSelectCapture"},dependencies:"blur contextmenu dragend focus keydown keyup mousedown mouseup selectionchange".split(" ")}},Wr=null,Vr=null,Kr=null,Yr=!1;function Qr(e,t){var n=t.window===t?t.document:9===t.nodeType?t:t.ownerDocument;return Yr||null==Wr||Wr!==dn(n)?null:("selectionStart"in(n=Wr)&&gn(n)?n={start:n.selectionStart,end:n.selectionEnd}:n={anchorNode:(n=(n.ownerDocument&&n.ownerDocument.defaultView||window).getSelection()).anchorNode,anchorOffset:n.anchorOffset,focusNode:n.focusNode,focusOffset:n.focusOffset},Kr&&Gr(Kr,n)?null:(Kr=n,(e=Kn.getPooled(Hr.select,Vr,e,t)).type="select",e.target=Wr,zn(e),e))}var Xr={eventTypes:Hr,extractEvents:function(e,t,n,r,o,a){if(!(a=!(o=a||(r.window===r?r.document:9===r.nodeType?r:r.ownerDocument)))){e:{o=Ze(o),a=T.onSelect;for(var i=0;i<a.length;i++)if(!o.has(a[i])){o=!1;break e}o=!0}a=!o}if(a)return null;switch(o=t?Ln(t):window,e){case"focus":(pr(o)||"true"===o.contentEditable)&&(Wr=o,Vr=t,Kr=null);break;case"blur":Kr=Vr=Wr=null;break;case"mousedown":Yr=!0;break;case"contextmenu":case"mouseup":case"dragend":return Yr=!1,Qr(n,r);case"selectionchange":if(qr)break;case"keydown":case"keyup":return Qr(n,r)}return null}},Jr=Kn.extend({animationName:null,elapsedTime:null,pseudoElement:null}),Zr=Kn.extend({clipboardData:function(e){return"clipboardData"in e?e.clipboardData:window.clipboardData}}),eo=_r.extend({relatedTarget:null});function to(e){var t=e.keyCode;return"charCode"in e?0===(e=e.charCode)&&13===t&&(e=13):e=t,10===e&&(e=13),32<=e||13===e?e:0}var no={Esc:"Escape",Spacebar:" ",Left:"ArrowLeft",Up:"ArrowUp",Right:"ArrowRight",Down:"ArrowDown",Del:"Delete",Win:"OS",Menu:"ContextMenu",Apps:"ContextMenu",Scroll:"ScrollLock",MozPrintableKey:"Unidentified"},ro={8:"Backspace",9:"Tab",12:"Clear",13:"Enter",16:"Shift",17:"Control",18:"Alt",19:"Pause",20:"CapsLock",27:"Escape",32:" ",33:"PageUp",34:"PageDown",35:"End",36:"Home",37:"ArrowLeft",38:"ArrowUp",39:"ArrowRight",40:"ArrowDown",45:"Insert",46:"Delete",112:"F1",113:"F2",114:"F3",115:"F4",116:"F5",117:"F6",118:"F7",119:"F8",120:"F9",121:"F10",122:"F11",123:"F12",144:"NumLock",145:"ScrollLock",224:"Meta"},oo=_r.extend({key:function(e){if(e.key){var t=no[e.key]||e.key;if("Unidentified"!==t)return t}return"keypress"===e.type?13===(e=to(e))?"Enter":String.fromCharCode(e):"keydown"===e.type||"keyup"===e.type?ro[e.keyCode]||"Unidentified":""},location:null,ctrlKey:null,shiftKey:null,altKey:null,metaKey:null,repeat:null,locale:null,getModifierState:Nr,charCode:function(e){return"keypress"===e.type?to(e):0},keyCode:function(e){return"keydown"===e.type||"keyup"===e.type?e.keyCode:0},which:function(e){return"keypress"===e.type?to(e):"keydown"===e.type||"keyup"===e.type?e.keyCode:0}}),ao=Fr.extend({dataTransfer:null}),io=_r.extend({touches:null,targetTouches:null,changedTouches:null,altKey:null,metaKey:null,ctrlKey:null,shiftKey:null,getModifierState:Nr}),lo=Kn.extend({propertyName:null,elapsedTime:null,pseudoElement:null}),uo=Fr.extend({deltaX:function(e){return"deltaX"in e?e.deltaX:"wheelDeltaX"in e?-e.wheelDeltaX:0},deltaY:function(e){return"deltaY"in e?e.deltaY:"wheelDeltaY"in e?-e.wheelDeltaY:"wheelDelta"in e?-e.wheelDelta:0},deltaZ:null,deltaMode:null}),so={eventTypes:Mt,extractEvents:function(e,t,n,r){var o=Bt.get(e);if(!o)return null;switch(e){case"keypress":if(0===to(n))return null;case"keydown":case"keyup":e=oo;break;case"blur":case"focus":e=eo;break;case"click":if(2===n.button)return null;case"auxclick":case"dblclick":case"mousedown":case"mousemove":case"mouseup":case"mouseout":case"mouseover":case"contextmenu":e=Fr;break;case"drag":case"dragend":case"dragenter":case"dragexit":case"dragleave":case"dragover":case"dragstart":case"drop":e=ao;break;case"touchcancel":case"touchend":case"touchmove":case"touchstart":e=io;break;case Ve:case Ke:case Ye:e=Jr;break;case Qe:e=lo;break;case"scroll":e=_r;break;case"wheel":e=uo;break;case"copy":case"cut":case"paste":e=Zr;break;case"gotpointercapture":case"lostpointercapture":case"pointercancel":case"pointerdown":case"pointermove":case"pointerout":case"pointerover":case"pointerup":e=Mr;break;default:e=Kn}return zn(t=e.getPooled(o,t,n,r)),t}};if(y)throw Error(i(101));y=Array.prototype.slice.call("ResponderEventPlugin SimpleEventPlugin EnterLeaveEventPlugin ChangeEventPlugin SelectEventPlugin BeforeInputEventPlugin".split(" ")),w(),m=In,h=Nn,g=Ln,x({SimpleEventPlugin:so,EnterLeaveEventPlugin:Ur,ChangeEventPlugin:Or,SelectEventPlugin:Xr,BeforeInputEventPlugin:dr});var co=[],fo=-1;function po(e){0>fo||(e.current=co[fo],co[fo]=null,fo--)}function mo(e,t){fo++,co[fo]=e.current,e.current=t}var ho={},go={current:ho},bo={current:!1},yo=ho;function vo(e,t){var n=e.type.contextTypes;if(!n)return ho;var r=e.stateNode;if(r&&r.__reactInternalMemoizedUnmaskedChildContext===t)return r.__reactInternalMemoizedMaskedChildContext;var o,a={};for(o in n)a[o]=t[o];return r&&((e=e.stateNode).__reactInternalMemoizedUnmaskedChildContext=t,e.__reactInternalMemoizedMaskedChildContext=a),a}function wo(e){return null!=(e=e.childContextTypes)}function So(){po(bo),po(go)}function ko(e,t,n){if(go.current!==ho)throw Error(i(168));mo(go,t),mo(bo,n)}function Eo(e,t,n){var r=e.stateNode;if(e=t.childContextTypes,"function"!=typeof r.getChildContext)return n;for(var a in r=r.getChildContext())if(!(a in e))throw Error(i(108,ge(t)||"Unknown",a));return o({},n,{},r)}function Po(e){return e=(e=e.stateNode)&&e.__reactInternalMemoizedMergedChildContext||ho,yo=go.current,mo(go,e),mo(bo,bo.current),!0}function To(e,t,n){var r=e.stateNode;if(!r)throw Error(i(169));n?(e=Eo(e,t,yo),r.__reactInternalMemoizedMergedChildContext=e,po(bo),po(go),mo(go,e)):po(bo),mo(bo,n)}var xo=a.unstable_runWithPriority,Co=a.unstable_scheduleCallback,Oo=a.unstable_cancelCallback,_o=a.unstable_requestPaint,Ao=a.unstable_now,Ro=a.unstable_getCurrentPriorityLevel,No=a.unstable_ImmediatePriority,Lo=a.unstable_UserBlockingPriority,Io=a.unstable_NormalPriority,Do=a.unstable_LowPriority,jo=a.unstable_IdlePriority,Fo={},Mo=a.unstable_shouldYield,Bo=void 0!==_o?_o:function(){},Uo=null,zo=null,$o=!1,Go=Ao(),qo=1e4>Go?Ao:function(){return Ao()-Go};function Ho(){switch(Ro()){case No:return 99;case Lo:return 98;case Io:return 97;case Do:return 96;case jo:return 95;default:throw Error(i(332))}}function Wo(e){switch(e){case 99:return No;case 98:return Lo;case 97:return Io;case 96:return Do;case 95:return jo;default:throw Error(i(332))}}function Vo(e,t){return e=Wo(e),xo(e,t)}function Ko(e,t,n){return e=Wo(e),Co(e,t,n)}function Yo(e){return null===Uo?(Uo=[e],zo=Co(No,Xo)):Uo.push(e),Fo}function Qo(){if(null!==zo){var e=zo;zo=null,Oo(e)}Xo()}function Xo(){if(!$o&&null!==Uo){$o=!0;var e=0;try{var t=Uo;Vo(99,(function(){for(;e<t.length;e++){var n=t[e];do{n=n(!0)}while(null!==n)}})),Uo=null}catch(n){throw null!==Uo&&(Uo=Uo.slice(e+1)),Co(No,Qo),n}finally{$o=!1}}}function Jo(e,t,n){return 1073741821-(1+((1073741821-e+t/10)/(n/=10)|0))*n}function Zo(e,t){if(e&&e.defaultProps)for(var n in t=o({},t),e=e.defaultProps)void 0===t[n]&&(t[n]=e[n]);return t}var ea={current:null},ta=null,na=null,ra=null;function oa(){ra=na=ta=null}function aa(e){var t=ea.current;po(ea),e.type._context._currentValue=t}function ia(e,t){for(;null!==e;){var n=e.alternate;if(e.childExpirationTime<t)e.childExpirationTime=t,null!==n&&n.childExpirationTime<t&&(n.childExpirationTime=t);else{if(!(null!==n&&n.childExpirationTime<t))break;n.childExpirationTime=t}e=e.return}}function la(e,t){ta=e,ra=na=null,null!==(e=e.dependencies)&&null!==e.firstContext&&(e.expirationTime>=t&&(Ii=!0),e.firstContext=null)}function ua(e,t){if(ra!==e&&!1!==t&&0!==t)if("number"==typeof t&&1073741823!==t||(ra=e,t=1073741823),t={context:e,observedBits:t,next:null},null===na){if(null===ta)throw Error(i(308));na=t,ta.dependencies={expirationTime:0,firstContext:t,responders:null}}else na=na.next=t;return e._currentValue}var sa=!1;function ca(e){e.updateQueue={baseState:e.memoizedState,baseQueue:null,shared:{pending:null},effects:null}}function da(e,t){e=e.updateQueue,t.updateQueue===e&&(t.updateQueue={baseState:e.baseState,baseQueue:e.baseQueue,shared:e.shared,effects:e.effects})}function fa(e,t){return(e={expirationTime:e,suspenseConfig:t,tag:0,payload:null,callback:null,next:null}).next=e}function pa(e,t){if(null!==(e=e.updateQueue)){var n=(e=e.shared).pending;null===n?t.next=t:(t.next=n.next,n.next=t),e.pending=t}}function ma(e,t){var n=e.alternate;null!==n&&da(n,e),null===(n=(e=e.updateQueue).baseQueue)?(e.baseQueue=t.next=t,t.next=t):(t.next=n.next,n.next=t)}function ha(e,t,n,r){var a=e.updateQueue;sa=!1;var i=a.baseQueue,l=a.shared.pending;if(null!==l){if(null!==i){var u=i.next;i.next=l.next,l.next=u}i=l,a.shared.pending=null,null!==(u=e.alternate)&&(null!==(u=u.updateQueue)&&(u.baseQueue=l))}if(null!==i){u=i.next;var s=a.baseState,c=0,d=null,f=null,p=null;if(null!==u)for(var m=u;;){if((l=m.expirationTime)<r){var h={expirationTime:m.expirationTime,suspenseConfig:m.suspenseConfig,tag:m.tag,payload:m.payload,callback:m.callback,next:null};null===p?(f=p=h,d=s):p=p.next=h,l>c&&(c=l)}else{null!==p&&(p=p.next={expirationTime:1073741823,suspenseConfig:m.suspenseConfig,tag:m.tag,payload:m.payload,callback:m.callback,next:null}),pu(l,m.suspenseConfig);e:{var g=e,b=m;switch(l=t,h=n,b.tag){case 1:if("function"==typeof(g=b.payload)){s=g.call(h,s,l);break e}s=g;break e;case 3:g.effectTag=-4097&g.effectTag|64;case 0:if(null==(l="function"==typeof(g=b.payload)?g.call(h,s,l):g))break e;s=o({},s,l);break e;case 2:sa=!0}}null!==m.callback&&(e.effectTag|=32,null===(l=a.effects)?a.effects=[m]:l.push(m))}if(null===(m=m.next)||m===u){if(null===(l=a.shared.pending))break;m=i.next=l.next,l.next=u,a.baseQueue=i=l,a.shared.pending=null}}null===p?d=s:p.next=f,a.baseState=d,a.baseQueue=p,mu(c),e.expirationTime=c,e.memoizedState=s}}function ga(e,t,n){if(e=t.effects,t.effects=null,null!==e)for(t=0;t<e.length;t++){var r=e[t],o=r.callback;if(null!==o){if(r.callback=null,r=o,o=n,"function"!=typeof r)throw Error(i(191,r));r.call(o)}}}var ba=Q.ReactCurrentBatchConfig,ya=(new r.Component).refs;function va(e,t,n,r){n=null==(n=n(r,t=e.memoizedState))?t:o({},t,n),e.memoizedState=n,0===e.expirationTime&&(e.updateQueue.baseState=n)}var wa={isMounted:function(e){return!!(e=e._reactInternalFiber)&&et(e)===e},enqueueSetState:function(e,t,n){e=e._reactInternalFiber;var r=eu(),o=ba.suspense;(o=fa(r=tu(r,e,o),o)).payload=t,null!=n&&(o.callback=n),pa(e,o),nu(e,r)},enqueueReplaceState:function(e,t,n){e=e._reactInternalFiber;var r=eu(),o=ba.suspense;(o=fa(r=tu(r,e,o),o)).tag=1,o.payload=t,null!=n&&(o.callback=n),pa(e,o),nu(e,r)},enqueueForceUpdate:function(e,t){e=e._reactInternalFiber;var n=eu(),r=ba.suspense;(r=fa(n=tu(n,e,r),r)).tag=2,null!=t&&(r.callback=t),pa(e,r),nu(e,n)}};function Sa(e,t,n,r,o,a,i){return"function"==typeof(e=e.stateNode).shouldComponentUpdate?e.shouldComponentUpdate(r,a,i):!t.prototype||!t.prototype.isPureReactComponent||(!Gr(n,r)||!Gr(o,a))}function ka(e,t,n){var r=!1,o=ho,a=t.contextType;return"object"==typeof a&&null!==a?a=ua(a):(o=wo(t)?yo:go.current,a=(r=null!=(r=t.contextTypes))?vo(e,o):ho),t=new t(n,a),e.memoizedState=null!==t.state&&void 0!==t.state?t.state:null,t.updater=wa,e.stateNode=t,t._reactInternalFiber=e,r&&((e=e.stateNode).__reactInternalMemoizedUnmaskedChildContext=o,e.__reactInternalMemoizedMaskedChildContext=a),t}function Ea(e,t,n,r){e=t.state,"function"==typeof t.componentWillReceiveProps&&t.componentWillReceiveProps(n,r),"function"==typeof t.UNSAFE_componentWillReceiveProps&&t.UNSAFE_componentWillReceiveProps(n,r),t.state!==e&&wa.enqueueReplaceState(t,t.state,null)}function Pa(e,t,n,r){var o=e.stateNode;o.props=n,o.state=e.memoizedState,o.refs=ya,ca(e);var a=t.contextType;"object"==typeof a&&null!==a?o.context=ua(a):(a=wo(t)?yo:go.current,o.context=vo(e,a)),ha(e,n,o,r),o.state=e.memoizedState,"function"==typeof(a=t.getDerivedStateFromProps)&&(va(e,t,a,n),o.state=e.memoizedState),"function"==typeof t.getDerivedStateFromProps||"function"==typeof o.getSnapshotBeforeUpdate||"function"!=typeof o.UNSAFE_componentWillMount&&"function"!=typeof o.componentWillMount||(t=o.state,"function"==typeof o.componentWillMount&&o.componentWillMount(),"function"==typeof o.UNSAFE_componentWillMount&&o.UNSAFE_componentWillMount(),t!==o.state&&wa.enqueueReplaceState(o,o.state,null),ha(e,n,o,r),o.state=e.memoizedState),"function"==typeof o.componentDidMount&&(e.effectTag|=4)}var Ta=Array.isArray;function xa(e,t,n){if(null!==(e=n.ref)&&"function"!=typeof e&&"object"!=typeof e){if(n._owner){if(n=n._owner){if(1!==n.tag)throw Error(i(309));var r=n.stateNode}if(!r)throw Error(i(147,e));var o=""+e;return null!==t&&null!==t.ref&&"function"==typeof t.ref&&t.ref._stringRef===o?t.ref:((t=function(e){var t=r.refs;t===ya&&(t=r.refs={}),null===e?delete t[o]:t[o]=e})._stringRef=o,t)}if("string"!=typeof e)throw Error(i(284));if(!n._owner)throw Error(i(290,e))}return e}function Ca(e,t){if("textarea"!==e.type)throw Error(i(31,"[object Object]"===Object.prototype.toString.call(t)?"object with keys {"+Object.keys(t).join(", ")+"}":t,""))}function Oa(e){function t(t,n){if(e){var r=t.lastEffect;null!==r?(r.nextEffect=n,t.lastEffect=n):t.firstEffect=t.lastEffect=n,n.nextEffect=null,n.effectTag=8}}function n(n,r){if(!e)return null;for(;null!==r;)t(n,r),r=r.sibling;return null}function r(e,t){for(e=new Map;null!==t;)null!==t.key?e.set(t.key,t):e.set(t.index,t),t=t.sibling;return e}function o(e,t){return(e=Iu(e,t)).index=0,e.sibling=null,e}function a(t,n,r){return t.index=r,e?null!==(r=t.alternate)?(r=r.index)<n?(t.effectTag=2,n):r:(t.effectTag=2,n):n}function l(t){return e&&null===t.alternate&&(t.effectTag=2),t}function u(e,t,n,r){return null===t||6!==t.tag?((t=Fu(n,e.mode,r)).return=e,t):((t=o(t,n)).return=e,t)}function s(e,t,n,r){return null!==t&&t.elementType===n.type?((r=o(t,n.props)).ref=xa(e,t,n),r.return=e,r):((r=Du(n.type,n.key,n.props,null,e.mode,r)).ref=xa(e,t,n),r.return=e,r)}function c(e,t,n,r){return null===t||4!==t.tag||t.stateNode.containerInfo!==n.containerInfo||t.stateNode.implementation!==n.implementation?((t=Mu(n,e.mode,r)).return=e,t):((t=o(t,n.children||[])).return=e,t)}function d(e,t,n,r,a){return null===t||7!==t.tag?((t=ju(n,e.mode,r,a)).return=e,t):((t=o(t,n)).return=e,t)}function f(e,t,n){if("string"==typeof t||"number"==typeof t)return(t=Fu(""+t,e.mode,n)).return=e,t;if("object"==typeof t&&null!==t){switch(t.$$typeof){case ee:return(n=Du(t.type,t.key,t.props,null,e.mode,n)).ref=xa(e,null,t),n.return=e,n;case te:return(t=Mu(t,e.mode,n)).return=e,t}if(Ta(t)||he(t))return(t=ju(t,e.mode,n,null)).return=e,t;Ca(e,t)}return null}function p(e,t,n,r){var o=null!==t?t.key:null;if("string"==typeof n||"number"==typeof n)return null!==o?null:u(e,t,""+n,r);if("object"==typeof n&&null!==n){switch(n.$$typeof){case ee:return n.key===o?n.type===ne?d(e,t,n.props.children,r,o):s(e,t,n,r):null;case te:return n.key===o?c(e,t,n,r):null}if(Ta(n)||he(n))return null!==o?null:d(e,t,n,r,null);Ca(e,n)}return null}function m(e,t,n,r,o){if("string"==typeof r||"number"==typeof r)return u(t,e=e.get(n)||null,""+r,o);if("object"==typeof r&&null!==r){switch(r.$$typeof){case ee:return e=e.get(null===r.key?n:r.key)||null,r.type===ne?d(t,e,r.props.children,o,r.key):s(t,e,r,o);case te:return c(t,e=e.get(null===r.key?n:r.key)||null,r,o)}if(Ta(r)||he(r))return d(t,e=e.get(n)||null,r,o,null);Ca(t,r)}return null}function h(o,i,l,u){for(var s=null,c=null,d=i,h=i=0,g=null;null!==d&&h<l.length;h++){d.index>h?(g=d,d=null):g=d.sibling;var b=p(o,d,l[h],u);if(null===b){null===d&&(d=g);break}e&&d&&null===b.alternate&&t(o,d),i=a(b,i,h),null===c?s=b:c.sibling=b,c=b,d=g}if(h===l.length)return n(o,d),s;if(null===d){for(;h<l.length;h++)null!==(d=f(o,l[h],u))&&(i=a(d,i,h),null===c?s=d:c.sibling=d,c=d);return s}for(d=r(o,d);h<l.length;h++)null!==(g=m(d,o,h,l[h],u))&&(e&&null!==g.alternate&&d.delete(null===g.key?h:g.key),i=a(g,i,h),null===c?s=g:c.sibling=g,c=g);return e&&d.forEach((function(e){return t(o,e)})),s}function g(o,l,u,s){var c=he(u);if("function"!=typeof c)throw Error(i(150));if(null==(u=c.call(u)))throw Error(i(151));for(var d=c=null,h=l,g=l=0,b=null,y=u.next();null!==h&&!y.done;g++,y=u.next()){h.index>g?(b=h,h=null):b=h.sibling;var v=p(o,h,y.value,s);if(null===v){null===h&&(h=b);break}e&&h&&null===v.alternate&&t(o,h),l=a(v,l,g),null===d?c=v:d.sibling=v,d=v,h=b}if(y.done)return n(o,h),c;if(null===h){for(;!y.done;g++,y=u.next())null!==(y=f(o,y.value,s))&&(l=a(y,l,g),null===d?c=y:d.sibling=y,d=y);return c}for(h=r(o,h);!y.done;g++,y=u.next())null!==(y=m(h,o,g,y.value,s))&&(e&&null!==y.alternate&&h.delete(null===y.key?g:y.key),l=a(y,l,g),null===d?c=y:d.sibling=y,d=y);return e&&h.forEach((function(e){return t(o,e)})),c}return function(e,r,a,u){var s="object"==typeof a&&null!==a&&a.type===ne&&null===a.key;s&&(a=a.props.children);var c="object"==typeof a&&null!==a;if(c)switch(a.$$typeof){case ee:e:{for(c=a.key,s=r;null!==s;){if(s.key===c){switch(s.tag){case 7:if(a.type===ne){n(e,s.sibling),(r=o(s,a.props.children)).return=e,e=r;break e}break;default:if(s.elementType===a.type){n(e,s.sibling),(r=o(s,a.props)).ref=xa(e,s,a),r.return=e,e=r;break e}}n(e,s);break}t(e,s),s=s.sibling}a.type===ne?((r=ju(a.props.children,e.mode,u,a.key)).return=e,e=r):((u=Du(a.type,a.key,a.props,null,e.mode,u)).ref=xa(e,r,a),u.return=e,e=u)}return l(e);case te:e:{for(s=a.key;null!==r;){if(r.key===s){if(4===r.tag&&r.stateNode.containerInfo===a.containerInfo&&r.stateNode.implementation===a.implementation){n(e,r.sibling),(r=o(r,a.children||[])).return=e,e=r;break e}n(e,r);break}t(e,r),r=r.sibling}(r=Mu(a,e.mode,u)).return=e,e=r}return l(e)}if("string"==typeof a||"number"==typeof a)return a=""+a,null!==r&&6===r.tag?(n(e,r.sibling),(r=o(r,a)).return=e,e=r):(n(e,r),(r=Fu(a,e.mode,u)).return=e,e=r),l(e);if(Ta(a))return h(e,r,a,u);if(he(a))return g(e,r,a,u);if(c&&Ca(e,a),void 0===a&&!s)switch(e.tag){case 1:case 0:throw e=e.type,Error(i(152,e.displayName||e.name||"Component"))}return n(e,r)}}var _a=Oa(!0),Aa=Oa(!1),Ra={},Na={current:Ra},La={current:Ra},Ia={current:Ra};function Da(e){if(e===Ra)throw Error(i(174));return e}function ja(e,t){switch(mo(Ia,t),mo(La,e),mo(Na,Ra),e=t.nodeType){case 9:case 11:t=(t=t.documentElement)?t.namespaceURI:Fe(null,"");break;default:t=Fe(t=(e=8===e?t.parentNode:t).namespaceURI||null,e=e.tagName)}po(Na),mo(Na,t)}function Fa(){po(Na),po(La),po(Ia)}function Ma(e){Da(Ia.current);var t=Da(Na.current),n=Fe(t,e.type);t!==n&&(mo(La,e),mo(Na,n))}function Ba(e){La.current===e&&(po(Na),po(La))}var Ua={current:0};function za(e){for(var t=e;null!==t;){if(13===t.tag){var n=t.memoizedState;if(null!==n&&(null===(n=n.dehydrated)||n.data===bn||n.data===yn))return t}else if(19===t.tag&&void 0!==t.memoizedProps.revealOrder){if(0!=(64&t.effectTag))return t}else if(null!==t.child){t.child.return=t,t=t.child;continue}if(t===e)break;for(;null===t.sibling;){if(null===t.return||t.return===e)return null;t=t.return}t.sibling.return=t.return,t=t.sibling}return null}function $a(e,t){return{responder:e,props:t}}var Ga=Q.ReactCurrentDispatcher,qa=Q.ReactCurrentBatchConfig,Ha=0,Wa=null,Va=null,Ka=null,Ya=!1;function Qa(){throw Error(i(321))}function Xa(e,t){if(null===t)return!1;for(var n=0;n<t.length&&n<e.length;n++)if(!zr(e[n],t[n]))return!1;return!0}function Ja(e,t,n,r,o,a){if(Ha=a,Wa=t,t.memoizedState=null,t.updateQueue=null,t.expirationTime=0,Ga.current=null===e||null===e.memoizedState?Si:ki,e=n(r,o),t.expirationTime===Ha){a=0;do{if(t.expirationTime=0,!(25>a))throw Error(i(301));a+=1,Ka=Va=null,t.updateQueue=null,Ga.current=Ei,e=n(r,o)}while(t.expirationTime===Ha)}if(Ga.current=wi,t=null!==Va&&null!==Va.next,Ha=0,Ka=Va=Wa=null,Ya=!1,t)throw Error(i(300));return e}function Za(){var e={memoizedState:null,baseState:null,baseQueue:null,queue:null,next:null};return null===Ka?Wa.memoizedState=Ka=e:Ka=Ka.next=e,Ka}function ei(){if(null===Va){var e=Wa.alternate;e=null!==e?e.memoizedState:null}else e=Va.next;var t=null===Ka?Wa.memoizedState:Ka.next;if(null!==t)Ka=t,Va=e;else{if(null===e)throw Error(i(310));e={memoizedState:(Va=e).memoizedState,baseState:Va.baseState,baseQueue:Va.baseQueue,queue:Va.queue,next:null},null===Ka?Wa.memoizedState=Ka=e:Ka=Ka.next=e}return Ka}function ti(e,t){return"function"==typeof t?t(e):t}function ni(e){var t=ei(),n=t.queue;if(null===n)throw Error(i(311));n.lastRenderedReducer=e;var r=Va,o=r.baseQueue,a=n.pending;if(null!==a){if(null!==o){var l=o.next;o.next=a.next,a.next=l}r.baseQueue=o=a,n.pending=null}if(null!==o){o=o.next,r=r.baseState;var u=l=a=null,s=o;do{var c=s.expirationTime;if(c<Ha){var d={expirationTime:s.expirationTime,suspenseConfig:s.suspenseConfig,action:s.action,eagerReducer:s.eagerReducer,eagerState:s.eagerState,next:null};null===u?(l=u=d,a=r):u=u.next=d,c>Wa.expirationTime&&(Wa.expirationTime=c,mu(c))}else null!==u&&(u=u.next={expirationTime:1073741823,suspenseConfig:s.suspenseConfig,action:s.action,eagerReducer:s.eagerReducer,eagerState:s.eagerState,next:null}),pu(c,s.suspenseConfig),r=s.eagerReducer===e?s.eagerState:e(r,s.action);s=s.next}while(null!==s&&s!==o);null===u?a=r:u.next=l,zr(r,t.memoizedState)||(Ii=!0),t.memoizedState=r,t.baseState=a,t.baseQueue=u,n.lastRenderedState=r}return[t.memoizedState,n.dispatch]}function ri(e){var t=ei(),n=t.queue;if(null===n)throw Error(i(311));n.lastRenderedReducer=e;var r=n.dispatch,o=n.pending,a=t.memoizedState;if(null!==o){n.pending=null;var l=o=o.next;do{a=e(a,l.action),l=l.next}while(l!==o);zr(a,t.memoizedState)||(Ii=!0),t.memoizedState=a,null===t.baseQueue&&(t.baseState=a),n.lastRenderedState=a}return[a,r]}function oi(e){var t=Za();return"function"==typeof e&&(e=e()),t.memoizedState=t.baseState=e,e=(e=t.queue={pending:null,dispatch:null,lastRenderedReducer:ti,lastRenderedState:e}).dispatch=vi.bind(null,Wa,e),[t.memoizedState,e]}function ai(e,t,n,r){return e={tag:e,create:t,destroy:n,deps:r,next:null},null===(t=Wa.updateQueue)?(t={lastEffect:null},Wa.updateQueue=t,t.lastEffect=e.next=e):null===(n=t.lastEffect)?t.lastEffect=e.next=e:(r=n.next,n.next=e,e.next=r,t.lastEffect=e),e}function ii(){return ei().memoizedState}function li(e,t,n,r){var o=Za();Wa.effectTag|=e,o.memoizedState=ai(1|t,n,void 0,void 0===r?null:r)}function ui(e,t,n,r){var o=ei();r=void 0===r?null:r;var a=void 0;if(null!==Va){var i=Va.memoizedState;if(a=i.destroy,null!==r&&Xa(r,i.deps))return void ai(t,n,a,r)}Wa.effectTag|=e,o.memoizedState=ai(1|t,n,a,r)}function si(e,t){return li(516,4,e,t)}function ci(e,t){return ui(516,4,e,t)}function di(e,t){return ui(4,2,e,t)}function fi(e,t){return"function"==typeof t?(e=e(),t(e),function(){t(null)}):null!=t?(e=e(),t.current=e,function(){t.current=null}):void 0}function pi(e,t,n){return n=null!=n?n.concat([e]):null,ui(4,2,fi.bind(null,t,e),n)}function mi(){}function hi(e,t){return Za().memoizedState=[e,void 0===t?null:t],e}function gi(e,t){var n=ei();t=void 0===t?null:t;var r=n.memoizedState;return null!==r&&null!==t&&Xa(t,r[1])?r[0]:(n.memoizedState=[e,t],e)}function bi(e,t){var n=ei();t=void 0===t?null:t;var r=n.memoizedState;return null!==r&&null!==t&&Xa(t,r[1])?r[0]:(e=e(),n.memoizedState=[e,t],e)}function yi(e,t,n){var r=Ho();Vo(98>r?98:r,(function(){e(!0)})),Vo(97<r?97:r,(function(){var r=qa.suspense;qa.suspense=void 0===t?null:t;try{e(!1),n()}finally{qa.suspense=r}}))}function vi(e,t,n){var r=eu(),o=ba.suspense;o={expirationTime:r=tu(r,e,o),suspenseConfig:o,action:n,eagerReducer:null,eagerState:null,next:null};var a=t.pending;if(null===a?o.next=o:(o.next=a.next,a.next=o),t.pending=o,a=e.alternate,e===Wa||null!==a&&a===Wa)Ya=!0,o.expirationTime=Ha,Wa.expirationTime=Ha;else{if(0===e.expirationTime&&(null===a||0===a.expirationTime)&&null!==(a=t.lastRenderedReducer))try{var i=t.lastRenderedState,l=a(i,n);if(o.eagerReducer=a,o.eagerState=l,zr(l,i))return}catch(u){}nu(e,r)}}var wi={readContext:ua,useCallback:Qa,useContext:Qa,useEffect:Qa,useImperativeHandle:Qa,useLayoutEffect:Qa,useMemo:Qa,useReducer:Qa,useRef:Qa,useState:Qa,useDebugValue:Qa,useResponder:Qa,useDeferredValue:Qa,useTransition:Qa},Si={readContext:ua,useCallback:hi,useContext:ua,useEffect:si,useImperativeHandle:function(e,t,n){return n=null!=n?n.concat([e]):null,li(4,2,fi.bind(null,t,e),n)},useLayoutEffect:function(e,t){return li(4,2,e,t)},useMemo:function(e,t){var n=Za();return t=void 0===t?null:t,e=e(),n.memoizedState=[e,t],e},useReducer:function(e,t,n){var r=Za();return t=void 0!==n?n(t):t,r.memoizedState=r.baseState=t,e=(e=r.queue={pending:null,dispatch:null,lastRenderedReducer:e,lastRenderedState:t}).dispatch=vi.bind(null,Wa,e),[r.memoizedState,e]},useRef:function(e){return e={current:e},Za().memoizedState=e},useState:oi,useDebugValue:mi,useResponder:$a,useDeferredValue:function(e,t){var n=oi(e),r=n[0],o=n[1];return si((function(){var n=qa.suspense;qa.suspense=void 0===t?null:t;try{o(e)}finally{qa.suspense=n}}),[e,t]),r},useTransition:function(e){var t=oi(!1),n=t[0];return t=t[1],[hi(yi.bind(null,t,e),[t,e]),n]}},ki={readContext:ua,useCallback:gi,useContext:ua,useEffect:ci,useImperativeHandle:pi,useLayoutEffect:di,useMemo:bi,useReducer:ni,useRef:ii,useState:function(){return ni(ti)},useDebugValue:mi,useResponder:$a,useDeferredValue:function(e,t){var n=ni(ti),r=n[0],o=n[1];return ci((function(){var n=qa.suspense;qa.suspense=void 0===t?null:t;try{o(e)}finally{qa.suspense=n}}),[e,t]),r},useTransition:function(e){var t=ni(ti),n=t[0];return t=t[1],[gi(yi.bind(null,t,e),[t,e]),n]}},Ei={readContext:ua,useCallback:gi,useContext:ua,useEffect:ci,useImperativeHandle:pi,useLayoutEffect:di,useMemo:bi,useReducer:ri,useRef:ii,useState:function(){return ri(ti)},useDebugValue:mi,useResponder:$a,useDeferredValue:function(e,t){var n=ri(ti),r=n[0],o=n[1];return ci((function(){var n=qa.suspense;qa.suspense=void 0===t?null:t;try{o(e)}finally{qa.suspense=n}}),[e,t]),r},useTransition:function(e){var t=ri(ti),n=t[0];return t=t[1],[gi(yi.bind(null,t,e),[t,e]),n]}},Pi=null,Ti=null,xi=!1;function Ci(e,t){var n=Nu(5,null,null,0);n.elementType="DELETED",n.type="DELETED",n.stateNode=t,n.return=e,n.effectTag=8,null!==e.lastEffect?(e.lastEffect.nextEffect=n,e.lastEffect=n):e.firstEffect=e.lastEffect=n}function Oi(e,t){switch(e.tag){case 5:var n=e.type;return null!==(t=1!==t.nodeType||n.toLowerCase()!==t.nodeName.toLowerCase()?null:t)&&(e.stateNode=t,!0);case 6:return null!==(t=""===e.pendingProps||3!==t.nodeType?null:t)&&(e.stateNode=t,!0);case 13:default:return!1}}function _i(e){if(xi){var t=Ti;if(t){var n=t;if(!Oi(e,t)){if(!(t=Tn(n.nextSibling))||!Oi(e,t))return e.effectTag=-1025&e.effectTag|2,xi=!1,void(Pi=e);Ci(Pi,n)}Pi=e,Ti=Tn(t.firstChild)}else e.effectTag=-1025&e.effectTag|2,xi=!1,Pi=e}}function Ai(e){for(e=e.return;null!==e&&5!==e.tag&&3!==e.tag&&13!==e.tag;)e=e.return;Pi=e}function Ri(e){if(e!==Pi)return!1;if(!xi)return Ai(e),xi=!0,!1;var t=e.type;if(5!==e.tag||"head"!==t&&"body"!==t&&!kn(t,e.memoizedProps))for(t=Ti;t;)Ci(e,t),t=Tn(t.nextSibling);if(Ai(e),13===e.tag){if(!(e=null!==(e=e.memoizedState)?e.dehydrated:null))throw Error(i(317));e:{for(e=e.nextSibling,t=0;e;){if(8===e.nodeType){var n=e.data;if("/$"===n){if(0===t){Ti=Tn(e.nextSibling);break e}t--}else"$"!==n&&n!==yn&&n!==bn||t++}e=e.nextSibling}Ti=null}}else Ti=Pi?Tn(e.stateNode.nextSibling):null;return!0}function Ni(){Ti=Pi=null,xi=!1}var Li=Q.ReactCurrentOwner,Ii=!1;function Di(e,t,n,r){t.child=null===e?Aa(t,null,n,r):_a(t,e.child,n,r)}function ji(e,t,n,r,o){n=n.render;var a=t.ref;return la(t,o),r=Ja(e,t,n,r,a,o),null===e||Ii?(t.effectTag|=1,Di(e,t,r,o),t.child):(t.updateQueue=e.updateQueue,t.effectTag&=-517,e.expirationTime<=o&&(e.expirationTime=0),Ji(e,t,o))}function Fi(e,t,n,r,o,a){if(null===e){var i=n.type;return"function"!=typeof i||Lu(i)||void 0!==i.defaultProps||null!==n.compare||void 0!==n.defaultProps?((e=Du(n.type,null,r,null,t.mode,a)).ref=t.ref,e.return=t,t.child=e):(t.tag=15,t.type=i,Mi(e,t,i,r,o,a))}return i=e.child,o<a&&(o=i.memoizedProps,(n=null!==(n=n.compare)?n:Gr)(o,r)&&e.ref===t.ref)?Ji(e,t,a):(t.effectTag|=1,(e=Iu(i,r)).ref=t.ref,e.return=t,t.child=e)}function Mi(e,t,n,r,o,a){return null!==e&&Gr(e.memoizedProps,r)&&e.ref===t.ref&&(Ii=!1,o<a)?(t.expirationTime=e.expirationTime,Ji(e,t,a)):Ui(e,t,n,r,a)}function Bi(e,t){var n=t.ref;(null===e&&null!==n||null!==e&&e.ref!==n)&&(t.effectTag|=128)}function Ui(e,t,n,r,o){var a=wo(n)?yo:go.current;return a=vo(t,a),la(t,o),n=Ja(e,t,n,r,a,o),null===e||Ii?(t.effectTag|=1,Di(e,t,n,o),t.child):(t.updateQueue=e.updateQueue,t.effectTag&=-517,e.expirationTime<=o&&(e.expirationTime=0),Ji(e,t,o))}function zi(e,t,n,r,o){if(wo(n)){var a=!0;Po(t)}else a=!1;if(la(t,o),null===t.stateNode)null!==e&&(e.alternate=null,t.alternate=null,t.effectTag|=2),ka(t,n,r),Pa(t,n,r,o),r=!0;else if(null===e){var i=t.stateNode,l=t.memoizedProps;i.props=l;var u=i.context,s=n.contextType;"object"==typeof s&&null!==s?s=ua(s):s=vo(t,s=wo(n)?yo:go.current);var c=n.getDerivedStateFromProps,d="function"==typeof c||"function"==typeof i.getSnapshotBeforeUpdate;d||"function"!=typeof i.UNSAFE_componentWillReceiveProps&&"function"!=typeof i.componentWillReceiveProps||(l!==r||u!==s)&&Ea(t,i,r,s),sa=!1;var f=t.memoizedState;i.state=f,ha(t,r,i,o),u=t.memoizedState,l!==r||f!==u||bo.current||sa?("function"==typeof c&&(va(t,n,c,r),u=t.memoizedState),(l=sa||Sa(t,n,l,r,f,u,s))?(d||"function"!=typeof i.UNSAFE_componentWillMount&&"function"!=typeof i.componentWillMount||("function"==typeof i.componentWillMount&&i.componentWillMount(),"function"==typeof i.UNSAFE_componentWillMount&&i.UNSAFE_componentWillMount()),"function"==typeof i.componentDidMount&&(t.effectTag|=4)):("function"==typeof i.componentDidMount&&(t.effectTag|=4),t.memoizedProps=r,t.memoizedState=u),i.props=r,i.state=u,i.context=s,r=l):("function"==typeof i.componentDidMount&&(t.effectTag|=4),r=!1)}else i=t.stateNode,da(e,t),l=t.memoizedProps,i.props=t.type===t.elementType?l:Zo(t.type,l),u=i.context,"object"==typeof(s=n.contextType)&&null!==s?s=ua(s):s=vo(t,s=wo(n)?yo:go.current),(d="function"==typeof(c=n.getDerivedStateFromProps)||"function"==typeof i.getSnapshotBeforeUpdate)||"function"!=typeof i.UNSAFE_componentWillReceiveProps&&"function"!=typeof i.componentWillReceiveProps||(l!==r||u!==s)&&Ea(t,i,r,s),sa=!1,u=t.memoizedState,i.state=u,ha(t,r,i,o),f=t.memoizedState,l!==r||u!==f||bo.current||sa?("function"==typeof c&&(va(t,n,c,r),f=t.memoizedState),(c=sa||Sa(t,n,l,r,u,f,s))?(d||"function"!=typeof i.UNSAFE_componentWillUpdate&&"function"!=typeof i.componentWillUpdate||("function"==typeof i.componentWillUpdate&&i.componentWillUpdate(r,f,s),"function"==typeof i.UNSAFE_componentWillUpdate&&i.UNSAFE_componentWillUpdate(r,f,s)),"function"==typeof i.componentDidUpdate&&(t.effectTag|=4),"function"==typeof i.getSnapshotBeforeUpdate&&(t.effectTag|=256)):("function"!=typeof i.componentDidUpdate||l===e.memoizedProps&&u===e.memoizedState||(t.effectTag|=4),"function"!=typeof i.getSnapshotBeforeUpdate||l===e.memoizedProps&&u===e.memoizedState||(t.effectTag|=256),t.memoizedProps=r,t.memoizedState=f),i.props=r,i.state=f,i.context=s,r=c):("function"!=typeof i.componentDidUpdate||l===e.memoizedProps&&u===e.memoizedState||(t.effectTag|=4),"function"!=typeof i.getSnapshotBeforeUpdate||l===e.memoizedProps&&u===e.memoizedState||(t.effectTag|=256),r=!1);return $i(e,t,n,r,a,o)}function $i(e,t,n,r,o,a){Bi(e,t);var i=0!=(64&t.effectTag);if(!r&&!i)return o&&To(t,n,!1),Ji(e,t,a);r=t.stateNode,Li.current=t;var l=i&&"function"!=typeof n.getDerivedStateFromError?null:r.render();return t.effectTag|=1,null!==e&&i?(t.child=_a(t,e.child,null,a),t.child=_a(t,null,l,a)):Di(e,t,l,a),t.memoizedState=r.state,o&&To(t,n,!0),t.child}function Gi(e){var t=e.stateNode;t.pendingContext?ko(0,t.pendingContext,t.pendingContext!==t.context):t.context&&ko(0,t.context,!1),ja(e,t.containerInfo)}var qi,Hi,Wi,Vi={dehydrated:null,retryTime:0};function Ki(e,t,n){var r,o=t.mode,a=t.pendingProps,i=Ua.current,l=!1;if((r=0!=(64&t.effectTag))||(r=0!=(2&i)&&(null===e||null!==e.memoizedState)),r?(l=!0,t.effectTag&=-65):null!==e&&null===e.memoizedState||void 0===a.fallback||!0===a.unstable_avoidThisFallback||(i|=1),mo(Ua,1&i),null===e){if(void 0!==a.fallback&&_i(t),l){if(l=a.fallback,(a=ju(null,o,0,null)).return=t,0==(2&t.mode))for(e=null!==t.memoizedState?t.child.child:t.child,a.child=e;null!==e;)e.return=a,e=e.sibling;return(n=ju(l,o,n,null)).return=t,a.sibling=n,t.memoizedState=Vi,t.child=a,n}return o=a.children,t.memoizedState=null,t.child=Aa(t,null,o,n)}if(null!==e.memoizedState){if(o=(e=e.child).sibling,l){if(a=a.fallback,(n=Iu(e,e.pendingProps)).return=t,0==(2&t.mode)&&(l=null!==t.memoizedState?t.child.child:t.child)!==e.child)for(n.child=l;null!==l;)l.return=n,l=l.sibling;return(o=Iu(o,a)).return=t,n.sibling=o,n.childExpirationTime=0,t.memoizedState=Vi,t.child=n,o}return n=_a(t,e.child,a.children,n),t.memoizedState=null,t.child=n}if(e=e.child,l){if(l=a.fallback,(a=ju(null,o,0,null)).return=t,a.child=e,null!==e&&(e.return=a),0==(2&t.mode))for(e=null!==t.memoizedState?t.child.child:t.child,a.child=e;null!==e;)e.return=a,e=e.sibling;return(n=ju(l,o,n,null)).return=t,a.sibling=n,n.effectTag|=2,a.childExpirationTime=0,t.memoizedState=Vi,t.child=a,n}return t.memoizedState=null,t.child=_a(t,e,a.children,n)}function Yi(e,t){e.expirationTime<t&&(e.expirationTime=t);var n=e.alternate;null!==n&&n.expirationTime<t&&(n.expirationTime=t),ia(e.return,t)}function Qi(e,t,n,r,o,a){var i=e.memoizedState;null===i?e.memoizedState={isBackwards:t,rendering:null,renderingStartTime:0,last:r,tail:n,tailExpiration:0,tailMode:o,lastEffect:a}:(i.isBackwards=t,i.rendering=null,i.renderingStartTime=0,i.last=r,i.tail=n,i.tailExpiration=0,i.tailMode=o,i.lastEffect=a)}function Xi(e,t,n){var r=t.pendingProps,o=r.revealOrder,a=r.tail;if(Di(e,t,r.children,n),0!=(2&(r=Ua.current)))r=1&r|2,t.effectTag|=64;else{if(null!==e&&0!=(64&e.effectTag))e:for(e=t.child;null!==e;){if(13===e.tag)null!==e.memoizedState&&Yi(e,n);else if(19===e.tag)Yi(e,n);else if(null!==e.child){e.child.return=e,e=e.child;continue}if(e===t)break e;for(;null===e.sibling;){if(null===e.return||e.return===t)break e;e=e.return}e.sibling.return=e.return,e=e.sibling}r&=1}if(mo(Ua,r),0==(2&t.mode))t.memoizedState=null;else switch(o){case"forwards":for(n=t.child,o=null;null!==n;)null!==(e=n.alternate)&&null===za(e)&&(o=n),n=n.sibling;null===(n=o)?(o=t.child,t.child=null):(o=n.sibling,n.sibling=null),Qi(t,!1,o,n,a,t.lastEffect);break;case"backwards":for(n=null,o=t.child,t.child=null;null!==o;){if(null!==(e=o.alternate)&&null===za(e)){t.child=o;break}e=o.sibling,o.sibling=n,n=o,o=e}Qi(t,!0,n,null,a,t.lastEffect);break;case"together":Qi(t,!1,null,null,void 0,t.lastEffect);break;default:t.memoizedState=null}return t.child}function Ji(e,t,n){null!==e&&(t.dependencies=e.dependencies);var r=t.expirationTime;if(0!==r&&mu(r),t.childExpirationTime<n)return null;if(null!==e&&t.child!==e.child)throw Error(i(153));if(null!==t.child){for(n=Iu(e=t.child,e.pendingProps),t.child=n,n.return=t;null!==e.sibling;)e=e.sibling,(n=n.sibling=Iu(e,e.pendingProps)).return=t;n.sibling=null}return t.child}function Zi(e,t){switch(e.tailMode){case"hidden":t=e.tail;for(var n=null;null!==t;)null!==t.alternate&&(n=t),t=t.sibling;null===n?e.tail=null:n.sibling=null;break;case"collapsed":n=e.tail;for(var r=null;null!==n;)null!==n.alternate&&(r=n),n=n.sibling;null===r?t||null===e.tail?e.tail=null:e.tail.sibling=null:r.sibling=null}}function el(e,t,n){var r=t.pendingProps;switch(t.tag){case 2:case 16:case 15:case 0:case 11:case 7:case 8:case 12:case 9:case 14:return null;case 1:return wo(t.type)&&So(),null;case 3:return Fa(),po(bo),po(go),(n=t.stateNode).pendingContext&&(n.context=n.pendingContext,n.pendingContext=null),null!==e&&null!==e.child||!Ri(t)||(t.effectTag|=4),null;case 5:Ba(t),n=Da(Ia.current);var a=t.type;if(null!==e&&null!=t.stateNode)Hi(e,t,a,r,n),e.ref!==t.ref&&(t.effectTag|=128);else{if(!r){if(null===t.stateNode)throw Error(i(166));return null}if(e=Da(Na.current),Ri(t)){r=t.stateNode,a=t.type;var l=t.memoizedProps;switch(r[On]=t,r[_n]=l,a){case"iframe":case"object":case"embed":Kt("load",r);break;case"video":case"audio":for(e=0;e<Xe.length;e++)Kt(Xe[e],r);break;case"source":Kt("error",r);break;case"img":case"image":case"link":Kt("error",r),Kt("load",r);break;case"form":Kt("reset",r),Kt("submit",r);break;case"details":Kt("toggle",r);break;case"input":Ee(r,l),Kt("invalid",r),sn(n,"onChange");break;case"select":r._wrapperState={wasMultiple:!!l.multiple},Kt("invalid",r),sn(n,"onChange");break;case"textarea":Re(r,l),Kt("invalid",r),sn(n,"onChange")}for(var u in an(a,l),e=null,l)if(l.hasOwnProperty(u)){var s=l[u];"children"===u?"string"==typeof s?r.textContent!==s&&(e=["children",s]):"number"==typeof s&&r.textContent!==""+s&&(e=["children",""+s]):P.hasOwnProperty(u)&&null!=s&&sn(n,u)}switch(a){case"input":we(r),xe(r,l,!0);break;case"textarea":we(r),Le(r);break;case"select":case"option":break;default:"function"==typeof l.onClick&&(r.onclick=cn)}n=e,t.updateQueue=n,null!==n&&(t.effectTag|=4)}else{switch(u=9===n.nodeType?n:n.ownerDocument,e===un&&(e=je(a)),e===un?"script"===a?((e=u.createElement("div")).innerHTML="<script><\/script>",e=e.removeChild(e.firstChild)):"string"==typeof r.is?e=u.createElement(a,{is:r.is}):(e=u.createElement(a),"select"===a&&(u=e,r.multiple?u.multiple=!0:r.size&&(u.size=r.size))):e=u.createElementNS(e,a),e[On]=t,e[_n]=r,qi(e,t),t.stateNode=e,u=ln(a,r),a){case"iframe":case"object":case"embed":Kt("load",e),s=r;break;case"video":case"audio":for(s=0;s<Xe.length;s++)Kt(Xe[s],e);s=r;break;case"source":Kt("error",e),s=r;break;case"img":case"image":case"link":Kt("error",e),Kt("load",e),s=r;break;case"form":Kt("reset",e),Kt("submit",e),s=r;break;case"details":Kt("toggle",e),s=r;break;case"input":Ee(e,r),s=ke(e,r),Kt("invalid",e),sn(n,"onChange");break;case"option":s=Oe(e,r);break;case"select":e._wrapperState={wasMultiple:!!r.multiple},s=o({},r,{value:void 0}),Kt("invalid",e),sn(n,"onChange");break;case"textarea":Re(e,r),s=Ae(e,r),Kt("invalid",e),sn(n,"onChange");break;default:s=r}an(a,s);var c=s;for(l in c)if(c.hasOwnProperty(l)){var d=c[l];"style"===l?rn(e,d):"dangerouslySetInnerHTML"===l?null!=(d=d?d.__html:void 0)&&Ue(e,d):"children"===l?"string"==typeof d?("textarea"!==a||""!==d)&&ze(e,d):"number"==typeof d&&ze(e,""+d):"suppressContentEditableWarning"!==l&&"suppressHydrationWarning"!==l&&"autoFocus"!==l&&(P.hasOwnProperty(l)?null!=d&&sn(n,l):null!=d&&X(e,l,d,u))}switch(a){case"input":we(e),xe(e,r,!1);break;case"textarea":we(e),Le(e);break;case"option":null!=r.value&&e.setAttribute("value",""+ye(r.value));break;case"select":e.multiple=!!r.multiple,null!=(n=r.value)?_e(e,!!r.multiple,n,!1):null!=r.defaultValue&&_e(e,!!r.multiple,r.defaultValue,!0);break;default:"function"==typeof s.onClick&&(e.onclick=cn)}Sn(a,r)&&(t.effectTag|=4)}null!==t.ref&&(t.effectTag|=128)}return null;case 6:if(e&&null!=t.stateNode)Wi(0,t,e.memoizedProps,r);else{if("string"!=typeof r&&null===t.stateNode)throw Error(i(166));n=Da(Ia.current),Da(Na.current),Ri(t)?(n=t.stateNode,r=t.memoizedProps,n[On]=t,n.nodeValue!==r&&(t.effectTag|=4)):((n=(9===n.nodeType?n:n.ownerDocument).createTextNode(r))[On]=t,t.stateNode=n)}return null;case 13:return po(Ua),r=t.memoizedState,0!=(64&t.effectTag)?(t.expirationTime=n,t):(n=null!==r,r=!1,null===e?void 0!==t.memoizedProps.fallback&&Ri(t):(r=null!==(a=e.memoizedState),n||null===a||null!==(a=e.child.sibling)&&(null!==(l=t.firstEffect)?(t.firstEffect=a,a.nextEffect=l):(t.firstEffect=t.lastEffect=a,a.nextEffect=null),a.effectTag=8)),n&&!r&&0!=(2&t.mode)&&(null===e&&!0!==t.memoizedProps.unstable_avoidThisFallback||0!=(1&Ua.current)?Dl===Ol&&(Dl=_l):(Dl!==Ol&&Dl!==_l||(Dl=Al),0!==Ul&&null!==Nl&&(zu(Nl,Il),$u(Nl,Ul)))),(n||r)&&(t.effectTag|=4),null);case 4:return Fa(),null;case 10:return aa(t),null;case 17:return wo(t.type)&&So(),null;case 19:if(po(Ua),null===(r=t.memoizedState))return null;if(a=0!=(64&t.effectTag),null===(l=r.rendering)){if(a)Zi(r,!1);else if(Dl!==Ol||null!==e&&0!=(64&e.effectTag))for(l=t.child;null!==l;){if(null!==(e=za(l))){for(t.effectTag|=64,Zi(r,!1),null!==(a=e.updateQueue)&&(t.updateQueue=a,t.effectTag|=4),null===r.lastEffect&&(t.firstEffect=null),t.lastEffect=r.lastEffect,r=t.child;null!==r;)l=n,(a=r).effectTag&=2,a.nextEffect=null,a.firstEffect=null,a.lastEffect=null,null===(e=a.alternate)?(a.childExpirationTime=0,a.expirationTime=l,a.child=null,a.memoizedProps=null,a.memoizedState=null,a.updateQueue=null,a.dependencies=null):(a.childExpirationTime=e.childExpirationTime,a.expirationTime=e.expirationTime,a.child=e.child,a.memoizedProps=e.memoizedProps,a.memoizedState=e.memoizedState,a.updateQueue=e.updateQueue,l=e.dependencies,a.dependencies=null===l?null:{expirationTime:l.expirationTime,firstContext:l.firstContext,responders:l.responders}),r=r.sibling;return mo(Ua,1&Ua.current|2),t.child}l=l.sibling}}else{if(!a)if(null!==(e=za(l))){if(t.effectTag|=64,a=!0,null!==(n=e.updateQueue)&&(t.updateQueue=n,t.effectTag|=4),Zi(r,!0),null===r.tail&&"hidden"===r.tailMode&&!l.alternate)return null!==(t=t.lastEffect=r.lastEffect)&&(t.nextEffect=null),null}else 2*qo()-r.renderingStartTime>r.tailExpiration&&1<n&&(t.effectTag|=64,a=!0,Zi(r,!1),t.expirationTime=t.childExpirationTime=n-1);r.isBackwards?(l.sibling=t.child,t.child=l):(null!==(n=r.last)?n.sibling=l:t.child=l,r.last=l)}return null!==r.tail?(0===r.tailExpiration&&(r.tailExpiration=qo()+500),n=r.tail,r.rendering=n,r.tail=n.sibling,r.lastEffect=t.lastEffect,r.renderingStartTime=qo(),n.sibling=null,t=Ua.current,mo(Ua,a?1&t|2:1&t),n):null}throw Error(i(156,t.tag))}function tl(e){switch(e.tag){case 1:wo(e.type)&&So();var t=e.effectTag;return 4096&t?(e.effectTag=-4097&t|64,e):null;case 3:if(Fa(),po(bo),po(go),0!=(64&(t=e.effectTag)))throw Error(i(285));return e.effectTag=-4097&t|64,e;case 5:return Ba(e),null;case 13:return po(Ua),4096&(t=e.effectTag)?(e.effectTag=-4097&t|64,e):null;case 19:return po(Ua),null;case 4:return Fa(),null;case 10:return aa(e),null;default:return null}}function nl(e,t){return{value:e,source:t,stack:be(t)}}qi=function(e,t){for(var n=t.child;null!==n;){if(5===n.tag||6===n.tag)e.appendChild(n.stateNode);else if(4!==n.tag&&null!==n.child){n.child.return=n,n=n.child;continue}if(n===t)break;for(;null===n.sibling;){if(null===n.return||n.return===t)return;n=n.return}n.sibling.return=n.return,n=n.sibling}},Hi=function(e,t,n,r,a){var i=e.memoizedProps;if(i!==r){var l,u,s=t.stateNode;switch(Da(Na.current),e=null,n){case"input":i=ke(s,i),r=ke(s,r),e=[];break;case"option":i=Oe(s,i),r=Oe(s,r),e=[];break;case"select":i=o({},i,{value:void 0}),r=o({},r,{value:void 0}),e=[];break;case"textarea":i=Ae(s,i),r=Ae(s,r),e=[];break;default:"function"!=typeof i.onClick&&"function"==typeof r.onClick&&(s.onclick=cn)}for(l in an(n,r),n=null,i)if(!r.hasOwnProperty(l)&&i.hasOwnProperty(l)&&null!=i[l])if("style"===l)for(u in s=i[l])s.hasOwnProperty(u)&&(n||(n={}),n[u]="");else"dangerouslySetInnerHTML"!==l&&"children"!==l&&"suppressContentEditableWarning"!==l&&"suppressHydrationWarning"!==l&&"autoFocus"!==l&&(P.hasOwnProperty(l)?e||(e=[]):(e=e||[]).push(l,null));for(l in r){var c=r[l];if(s=null!=i?i[l]:void 0,r.hasOwnProperty(l)&&c!==s&&(null!=c||null!=s))if("style"===l)if(s){for(u in s)!s.hasOwnProperty(u)||c&&c.hasOwnProperty(u)||(n||(n={}),n[u]="");for(u in c)c.hasOwnProperty(u)&&s[u]!==c[u]&&(n||(n={}),n[u]=c[u])}else n||(e||(e=[]),e.push(l,n)),n=c;else"dangerouslySetInnerHTML"===l?(c=c?c.__html:void 0,s=s?s.__html:void 0,null!=c&&s!==c&&(e=e||[]).push(l,c)):"children"===l?s===c||"string"!=typeof c&&"number"!=typeof c||(e=e||[]).push(l,""+c):"suppressContentEditableWarning"!==l&&"suppressHydrationWarning"!==l&&(P.hasOwnProperty(l)?(null!=c&&sn(a,l),e||s===c||(e=[])):(e=e||[]).push(l,c))}n&&(e=e||[]).push("style",n),a=e,(t.updateQueue=a)&&(t.effectTag|=4)}},Wi=function(e,t,n,r){n!==r&&(t.effectTag|=4)};var rl="function"==typeof WeakSet?WeakSet:Set;function ol(e,t){var n=t.source,r=t.stack;null===r&&null!==n&&(r=be(n)),null!==n&&ge(n.type),t=t.value,null!==e&&1===e.tag&&ge(e.type);try{console.error(t)}catch(o){setTimeout((function(){throw o}))}}function al(e){var t=e.ref;if(null!==t)if("function"==typeof t)try{t(null)}catch(n){xu(e,n)}else t.current=null}function il(e,t){switch(t.tag){case 0:case 11:case 15:case 22:return;case 1:if(256&t.effectTag&&null!==e){var n=e.memoizedProps,r=e.memoizedState;t=(e=t.stateNode).getSnapshotBeforeUpdate(t.elementType===t.type?n:Zo(t.type,n),r),e.__reactInternalSnapshotBeforeUpdate=t}return;case 3:case 5:case 6:case 4:case 17:return}throw Error(i(163))}function ll(e,t){if(null!==(t=null!==(t=t.updateQueue)?t.lastEffect:null)){var n=t=t.next;do{if((n.tag&e)===e){var r=n.destroy;n.destroy=void 0,void 0!==r&&r()}n=n.next}while(n!==t)}}function ul(e,t){if(null!==(t=null!==(t=t.updateQueue)?t.lastEffect:null)){var n=t=t.next;do{if((n.tag&e)===e){var r=n.create;n.destroy=r()}n=n.next}while(n!==t)}}function sl(e,t,n){switch(n.tag){case 0:case 11:case 15:case 22:return void ul(3,n);case 1:if(e=n.stateNode,4&n.effectTag)if(null===t)e.componentDidMount();else{var r=n.elementType===n.type?t.memoizedProps:Zo(n.type,t.memoizedProps);e.componentDidUpdate(r,t.memoizedState,e.__reactInternalSnapshotBeforeUpdate)}return void(null!==(t=n.updateQueue)&&ga(n,t,e));case 3:if(null!==(t=n.updateQueue)){if(e=null,null!==n.child)switch(n.child.tag){case 5:e=n.child.stateNode;break;case 1:e=n.child.stateNode}ga(n,t,e)}return;case 5:return e=n.stateNode,void(null===t&&4&n.effectTag&&Sn(n.type,n.memoizedProps)&&e.focus());case 6:case 4:case 12:return;case 13:return void(null===n.memoizedState&&(n=n.alternate,null!==n&&(n=n.memoizedState,null!==n&&(n=n.dehydrated,null!==n&&Ft(n)))));case 19:case 17:case 20:case 21:return}throw Error(i(163))}function cl(e,t,n){switch("function"==typeof Au&&Au(t),t.tag){case 0:case 11:case 14:case 15:case 22:if(null!==(e=t.updateQueue)&&null!==(e=e.lastEffect)){var r=e.next;Vo(97<n?97:n,(function(){var e=r;do{var n=e.destroy;if(void 0!==n){var o=t;try{n()}catch(a){xu(o,a)}}e=e.next}while(e!==r)}))}break;case 1:al(t),"function"==typeof(n=t.stateNode).componentWillUnmount&&function(e,t){try{t.props=e.memoizedProps,t.state=e.memoizedState,t.componentWillUnmount()}catch(n){xu(e,n)}}(t,n);break;case 5:al(t);break;case 4:gl(e,t,n)}}function dl(e){var t=e.alternate;e.return=null,e.child=null,e.memoizedState=null,e.updateQueue=null,e.dependencies=null,e.alternate=null,e.firstEffect=null,e.lastEffect=null,e.pendingProps=null,e.memoizedProps=null,e.stateNode=null,null!==t&&dl(t)}function fl(e){return 5===e.tag||3===e.tag||4===e.tag}function pl(e){e:{for(var t=e.return;null!==t;){if(fl(t)){var n=t;break e}t=t.return}throw Error(i(160))}switch(t=n.stateNode,n.tag){case 5:var r=!1;break;case 3:case 4:t=t.containerInfo,r=!0;break;default:throw Error(i(161))}16&n.effectTag&&(ze(t,""),n.effectTag&=-17);e:t:for(n=e;;){for(;null===n.sibling;){if(null===n.return||fl(n.return)){n=null;break e}n=n.return}for(n.sibling.return=n.return,n=n.sibling;5!==n.tag&&6!==n.tag&&18!==n.tag;){if(2&n.effectTag)continue t;if(null===n.child||4===n.tag)continue t;n.child.return=n,n=n.child}if(!(2&n.effectTag)){n=n.stateNode;break e}}r?ml(e,n,t):hl(e,n,t)}function ml(e,t,n){var r=e.tag,o=5===r||6===r;if(o)e=o?e.stateNode:e.stateNode.instance,t?8===n.nodeType?n.parentNode.insertBefore(e,t):n.insertBefore(e,t):(8===n.nodeType?(t=n.parentNode).insertBefore(e,n):(t=n).appendChild(e),null!=(n=n._reactRootContainer)||null!==t.onclick||(t.onclick=cn));else if(4!==r&&null!==(e=e.child))for(ml(e,t,n),e=e.sibling;null!==e;)ml(e,t,n),e=e.sibling}function hl(e,t,n){var r=e.tag,o=5===r||6===r;if(o)e=o?e.stateNode:e.stateNode.instance,t?n.insertBefore(e,t):n.appendChild(e);else if(4!==r&&null!==(e=e.child))for(hl(e,t,n),e=e.sibling;null!==e;)hl(e,t,n),e=e.sibling}function gl(e,t,n){for(var r,o,a=t,l=!1;;){if(!l){l=a.return;e:for(;;){if(null===l)throw Error(i(160));switch(r=l.stateNode,l.tag){case 5:o=!1;break e;case 3:case 4:r=r.containerInfo,o=!0;break e}l=l.return}l=!0}if(5===a.tag||6===a.tag){e:for(var u=e,s=a,c=n,d=s;;)if(cl(u,d,c),null!==d.child&&4!==d.tag)d.child.return=d,d=d.child;else{if(d===s)break e;for(;null===d.sibling;){if(null===d.return||d.return===s)break e;d=d.return}d.sibling.return=d.return,d=d.sibling}o?(u=r,s=a.stateNode,8===u.nodeType?u.parentNode.removeChild(s):u.removeChild(s)):r.removeChild(a.stateNode)}else if(4===a.tag){if(null!==a.child){r=a.stateNode.containerInfo,o=!0,a.child.return=a,a=a.child;continue}}else if(cl(e,a,n),null!==a.child){a.child.return=a,a=a.child;continue}if(a===t)break;for(;null===a.sibling;){if(null===a.return||a.return===t)return;4===(a=a.return).tag&&(l=!1)}a.sibling.return=a.return,a=a.sibling}}function bl(e,t){switch(t.tag){case 0:case 11:case 14:case 15:case 22:return void ll(3,t);case 1:return;case 5:var n=t.stateNode;if(null!=n){var r=t.memoizedProps,o=null!==e?e.memoizedProps:r;e=t.type;var a=t.updateQueue;if(t.updateQueue=null,null!==a){for(n[_n]=r,"input"===e&&"radio"===r.type&&null!=r.name&&Pe(n,r),ln(e,o),t=ln(e,r),o=0;o<a.length;o+=2){var l=a[o],u=a[o+1];"style"===l?rn(n,u):"dangerouslySetInnerHTML"===l?Ue(n,u):"children"===l?ze(n,u):X(n,l,u,t)}switch(e){case"input":Te(n,r);break;case"textarea":Ne(n,r);break;case"select":t=n._wrapperState.wasMultiple,n._wrapperState.wasMultiple=!!r.multiple,null!=(e=r.value)?_e(n,!!r.multiple,e,!1):t!==!!r.multiple&&(null!=r.defaultValue?_e(n,!!r.multiple,r.defaultValue,!0):_e(n,!!r.multiple,r.multiple?[]:"",!1))}}}return;case 6:if(null===t.stateNode)throw Error(i(162));return void(t.stateNode.nodeValue=t.memoizedProps);case 3:return void((t=t.stateNode).hydrate&&(t.hydrate=!1,Ft(t.containerInfo)));case 12:return;case 13:if(n=t,null===t.memoizedState?r=!1:(r=!0,n=t.child,$l=qo()),null!==n)e:for(e=n;;){if(5===e.tag)a=e.stateNode,r?"function"==typeof(a=a.style).setProperty?a.setProperty("display","none","important"):a.display="none":(a=e.stateNode,o=null!=(o=e.memoizedProps.style)&&o.hasOwnProperty("display")?o.display:null,a.style.display=nn("display",o));else if(6===e.tag)e.stateNode.nodeValue=r?"":e.memoizedProps;else{if(13===e.tag&&null!==e.memoizedState&&null===e.memoizedState.dehydrated){(a=e.child.sibling).return=e,e=a;continue}if(null!==e.child){e.child.return=e,e=e.child;continue}}if(e===n)break;for(;null===e.sibling;){if(null===e.return||e.return===n)break e;e=e.return}e.sibling.return=e.return,e=e.sibling}return void yl(t);case 19:return void yl(t);case 17:return}throw Error(i(163))}function yl(e){var t=e.updateQueue;if(null!==t){e.updateQueue=null;var n=e.stateNode;null===n&&(n=e.stateNode=new rl),t.forEach((function(t){var r=Ou.bind(null,e,t);n.has(t)||(n.add(t),t.then(r,r))}))}}var vl="function"==typeof WeakMap?WeakMap:Map;function wl(e,t,n){(n=fa(n,null)).tag=3,n.payload={element:null};var r=t.value;return n.callback=function(){ql||(ql=!0,Hl=r),ol(e,t)},n}function Sl(e,t,n){(n=fa(n,null)).tag=3;var r=e.type.getDerivedStateFromError;if("function"==typeof r){var o=t.value;n.payload=function(){return ol(e,t),r(o)}}var a=e.stateNode;return null!==a&&"function"==typeof a.componentDidCatch&&(n.callback=function(){"function"!=typeof r&&(null===Wl?Wl=new Set([this]):Wl.add(this),ol(e,t));var n=t.stack;this.componentDidCatch(t.value,{componentStack:null!==n?n:""})}),n}var kl,El=Math.ceil,Pl=Q.ReactCurrentDispatcher,Tl=Q.ReactCurrentOwner,xl=16,Cl=32,Ol=0,_l=3,Al=4,Rl=0,Nl=null,Ll=null,Il=0,Dl=Ol,jl=null,Fl=1073741823,Ml=1073741823,Bl=null,Ul=0,zl=!1,$l=0,Gl=null,ql=!1,Hl=null,Wl=null,Vl=!1,Kl=null,Yl=90,Ql=null,Xl=0,Jl=null,Zl=0;function eu(){return 0!=(48&Rl)?1073741821-(qo()/10|0):0!==Zl?Zl:Zl=1073741821-(qo()/10|0)}function tu(e,t,n){if(0==(2&(t=t.mode)))return 1073741823;var r=Ho();if(0==(4&t))return 99===r?1073741823:1073741822;if(0!=(Rl&xl))return Il;if(null!==n)e=Jo(e,0|n.timeoutMs||5e3,250);else switch(r){case 99:e=1073741823;break;case 98:e=Jo(e,150,100);break;case 97:case 96:e=Jo(e,5e3,250);break;case 95:e=2;break;default:throw Error(i(326))}return null!==Nl&&e===Il&&--e,e}function nu(e,t){if(50<Xl)throw Xl=0,Jl=null,Error(i(185));if(null!==(e=ru(e,t))){var n=Ho();1073741823===t?0!=(8&Rl)&&0==(48&Rl)?lu(e):(au(e),0===Rl&&Qo()):au(e),0==(4&Rl)||98!==n&&99!==n||(null===Ql?Ql=new Map([[e,t]]):(void 0===(n=Ql.get(e))||n>t)&&Ql.set(e,t))}}function ru(e,t){e.expirationTime<t&&(e.expirationTime=t);var n=e.alternate;null!==n&&n.expirationTime<t&&(n.expirationTime=t);var r=e.return,o=null;if(null===r&&3===e.tag)o=e.stateNode;else for(;null!==r;){if(n=r.alternate,r.childExpirationTime<t&&(r.childExpirationTime=t),null!==n&&n.childExpirationTime<t&&(n.childExpirationTime=t),null===r.return&&3===r.tag){o=r.stateNode;break}r=r.return}return null!==o&&(Nl===o&&(mu(t),Dl===Al&&zu(o,Il)),$u(o,t)),o}function ou(e){var t=e.lastExpiredTime;if(0!==t)return t;if(!Uu(e,t=e.firstPendingTime))return t;var n=e.lastPingedTime;return 2>=(e=n>(e=e.nextKnownPendingLevel)?n:e)&&t!==e?0:e}function au(e){if(0!==e.lastExpiredTime)e.callbackExpirationTime=1073741823,e.callbackPriority=99,e.callbackNode=Yo(lu.bind(null,e));else{var t=ou(e),n=e.callbackNode;if(0===t)null!==n&&(e.callbackNode=null,e.callbackExpirationTime=0,e.callbackPriority=90);else{var r=eu();if(1073741823===t?r=99:1===t||2===t?r=95:r=0>=(r=10*(1073741821-t)-10*(1073741821-r))?99:250>=r?98:5250>=r?97:95,null!==n){var o=e.callbackPriority;if(e.callbackExpirationTime===t&&o>=r)return;n!==Fo&&Oo(n)}e.callbackExpirationTime=t,e.callbackPriority=r,t=1073741823===t?Yo(lu.bind(null,e)):Ko(r,iu.bind(null,e),{timeout:10*(1073741821-t)-qo()}),e.callbackNode=t}}}function iu(e,t){if(Zl=0,t)return Gu(e,t=eu()),au(e),null;var n=ou(e);if(0!==n){if(t=e.callbackNode,0!=(48&Rl))throw Error(i(327));if(Eu(),e===Nl&&n===Il||cu(e,n),null!==Ll){var r=Rl;Rl|=xl;for(var o=fu();;)try{gu();break}catch(u){du(e,u)}if(oa(),Rl=r,Pl.current=o,1===Dl)throw t=jl,cu(e,n),zu(e,n),au(e),t;if(null===Ll)switch(o=e.finishedWork=e.current.alternate,e.finishedExpirationTime=n,r=Dl,Nl=null,r){case Ol:case 1:throw Error(i(345));case 2:Gu(e,2<n?2:n);break;case _l:if(zu(e,n),n===(r=e.lastSuspendedTime)&&(e.nextKnownPendingLevel=vu(o)),1073741823===Fl&&10<(o=$l+500-qo())){if(zl){var a=e.lastPingedTime;if(0===a||a>=n){e.lastPingedTime=n,cu(e,n);break}}if(0!==(a=ou(e))&&a!==n)break;if(0!==r&&r!==n){e.lastPingedTime=r;break}e.timeoutHandle=En(wu.bind(null,e),o);break}wu(e);break;case Al:if(zu(e,n),n===(r=e.lastSuspendedTime)&&(e.nextKnownPendingLevel=vu(o)),zl&&(0===(o=e.lastPingedTime)||o>=n)){e.lastPingedTime=n,cu(e,n);break}if(0!==(o=ou(e))&&o!==n)break;if(0!==r&&r!==n){e.lastPingedTime=r;break}if(1073741823!==Ml?r=10*(1073741821-Ml)-qo():1073741823===Fl?r=0:(r=10*(1073741821-Fl)-5e3,0>(r=(o=qo())-r)&&(r=0),(n=10*(1073741821-n)-o)<(r=(120>r?120:480>r?480:1080>r?1080:1920>r?1920:3e3>r?3e3:4320>r?4320:1960*El(r/1960))-r)&&(r=n)),10<r){e.timeoutHandle=En(wu.bind(null,e),r);break}wu(e);break;case 5:if(1073741823!==Fl&&null!==Bl){a=Fl;var l=Bl;if(0>=(r=0|l.busyMinDurationMs)?r=0:(o=0|l.busyDelayMs,r=(a=qo()-(10*(1073741821-a)-(0|l.timeoutMs||5e3)))<=o?0:o+r-a),10<r){zu(e,n),e.timeoutHandle=En(wu.bind(null,e),r);break}}wu(e);break;default:throw Error(i(329))}if(au(e),e.callbackNode===t)return iu.bind(null,e)}}return null}function lu(e){var t=e.lastExpiredTime;if(t=0!==t?t:1073741823,0!=(48&Rl))throw Error(i(327));if(Eu(),e===Nl&&t===Il||cu(e,t),null!==Ll){var n=Rl;Rl|=xl;for(var r=fu();;)try{hu();break}catch(o){du(e,o)}if(oa(),Rl=n,Pl.current=r,1===Dl)throw n=jl,cu(e,t),zu(e,t),au(e),n;if(null!==Ll)throw Error(i(261));e.finishedWork=e.current.alternate,e.finishedExpirationTime=t,Nl=null,wu(e),au(e)}return null}function uu(e,t){var n=Rl;Rl|=1;try{return e(t)}finally{0===(Rl=n)&&Qo()}}function su(e,t){var n=Rl;Rl&=-2,Rl|=8;try{return e(t)}finally{0===(Rl=n)&&Qo()}}function cu(e,t){e.finishedWork=null,e.finishedExpirationTime=0;var n=e.timeoutHandle;if(-1!==n&&(e.timeoutHandle=-1,Pn(n)),null!==Ll)for(n=Ll.return;null!==n;){var r=n;switch(r.tag){case 1:null!=(r=r.type.childContextTypes)&&So();break;case 3:Fa(),po(bo),po(go);break;case 5:Ba(r);break;case 4:Fa();break;case 13:case 19:po(Ua);break;case 10:aa(r)}n=n.return}Nl=e,Ll=Iu(e.current,null),Il=t,Dl=Ol,jl=null,Ml=Fl=1073741823,Bl=null,Ul=0,zl=!1}function du(e,t){for(;;){try{if(oa(),Ga.current=wi,Ya)for(var n=Wa.memoizedState;null!==n;){var r=n.queue;null!==r&&(r.pending=null),n=n.next}if(Ha=0,Ka=Va=Wa=null,Ya=!1,null===Ll||null===Ll.return)return Dl=1,jl=t,Ll=null;e:{var o=e,a=Ll.return,i=Ll,l=t;if(t=Il,i.effectTag|=2048,i.firstEffect=i.lastEffect=null,null!==l&&"object"==typeof l&&"function"==typeof l.then){var u=l;if(0==(2&i.mode)){var s=i.alternate;s?(i.updateQueue=s.updateQueue,i.memoizedState=s.memoizedState,i.expirationTime=s.expirationTime):(i.updateQueue=null,i.memoizedState=null)}var c=0!=(1&Ua.current),d=a;do{var f;if(f=13===d.tag){var p=d.memoizedState;if(null!==p)f=null!==p.dehydrated;else{var m=d.memoizedProps;f=void 0!==m.fallback&&(!0!==m.unstable_avoidThisFallback||!c)}}if(f){var h=d.updateQueue;if(null===h){var g=new Set;g.add(u),d.updateQueue=g}else h.add(u);if(0==(2&d.mode)){if(d.effectTag|=64,i.effectTag&=-2981,1===i.tag)if(null===i.alternate)i.tag=17;else{var b=fa(1073741823,null);b.tag=2,pa(i,b)}i.expirationTime=1073741823;break e}l=void 0,i=t;var y=o.pingCache;if(null===y?(y=o.pingCache=new vl,l=new Set,y.set(u,l)):void 0===(l=y.get(u))&&(l=new Set,y.set(u,l)),!l.has(i)){l.add(i);var v=Cu.bind(null,o,u,i);u.then(v,v)}d.effectTag|=4096,d.expirationTime=t;break e}d=d.return}while(null!==d);l=Error((ge(i.type)||"A React component")+" suspended while rendering, but no fallback UI was specified.\n\nAdd a <Suspense fallback=...> component higher in the tree to provide a loading indicator or placeholder to display."+be(i))}5!==Dl&&(Dl=2),l=nl(l,i),d=a;do{switch(d.tag){case 3:u=l,d.effectTag|=4096,d.expirationTime=t,ma(d,wl(d,u,t));break e;case 1:u=l;var w=d.type,S=d.stateNode;if(0==(64&d.effectTag)&&("function"==typeof w.getDerivedStateFromError||null!==S&&"function"==typeof S.componentDidCatch&&(null===Wl||!Wl.has(S)))){d.effectTag|=4096,d.expirationTime=t,ma(d,Sl(d,u,t));break e}}d=d.return}while(null!==d)}Ll=yu(Ll)}catch(k){t=k;continue}break}}function fu(){var e=Pl.current;return Pl.current=wi,null===e?wi:e}function pu(e,t){e<Fl&&2<e&&(Fl=e),null!==t&&e<Ml&&2<e&&(Ml=e,Bl=t)}function mu(e){e>Ul&&(Ul=e)}function hu(){for(;null!==Ll;)Ll=bu(Ll)}function gu(){for(;null!==Ll&&!Mo();)Ll=bu(Ll)}function bu(e){var t=kl(e.alternate,e,Il);return e.memoizedProps=e.pendingProps,null===t&&(t=yu(e)),Tl.current=null,t}function yu(e){Ll=e;do{var t=Ll.alternate;if(e=Ll.return,0==(2048&Ll.effectTag)){if(t=el(t,Ll,Il),1===Il||1!==Ll.childExpirationTime){for(var n=0,r=Ll.child;null!==r;){var o=r.expirationTime,a=r.childExpirationTime;o>n&&(n=o),a>n&&(n=a),r=r.sibling}Ll.childExpirationTime=n}if(null!==t)return t;null!==e&&0==(2048&e.effectTag)&&(null===e.firstEffect&&(e.firstEffect=Ll.firstEffect),null!==Ll.lastEffect&&(null!==e.lastEffect&&(e.lastEffect.nextEffect=Ll.firstEffect),e.lastEffect=Ll.lastEffect),1<Ll.effectTag&&(null!==e.lastEffect?e.lastEffect.nextEffect=Ll:e.firstEffect=Ll,e.lastEffect=Ll))}else{if(null!==(t=tl(Ll)))return t.effectTag&=2047,t;null!==e&&(e.firstEffect=e.lastEffect=null,e.effectTag|=2048)}if(null!==(t=Ll.sibling))return t;Ll=e}while(null!==Ll);return Dl===Ol&&(Dl=5),null}function vu(e){var t=e.expirationTime;return t>(e=e.childExpirationTime)?t:e}function wu(e){var t=Ho();return Vo(99,Su.bind(null,e,t)),null}function Su(e,t){do{Eu()}while(null!==Kl);if(0!=(48&Rl))throw Error(i(327));var n=e.finishedWork,r=e.finishedExpirationTime;if(null===n)return null;if(e.finishedWork=null,e.finishedExpirationTime=0,n===e.current)throw Error(i(177));e.callbackNode=null,e.callbackExpirationTime=0,e.callbackPriority=90,e.nextKnownPendingLevel=0;var o=vu(n);if(e.firstPendingTime=o,r<=e.lastSuspendedTime?e.firstSuspendedTime=e.lastSuspendedTime=e.nextKnownPendingLevel=0:r<=e.firstSuspendedTime&&(e.firstSuspendedTime=r-1),r<=e.lastPingedTime&&(e.lastPingedTime=0),r<=e.lastExpiredTime&&(e.lastExpiredTime=0),e===Nl&&(Ll=Nl=null,Il=0),1<n.effectTag?null!==n.lastEffect?(n.lastEffect.nextEffect=n,o=n.firstEffect):o=n:o=n.firstEffect,null!==o){var a=Rl;Rl|=Cl,Tl.current=null,vn=Vt;var l=hn();if(gn(l)){if("selectionStart"in l)var u={start:l.selectionStart,end:l.selectionEnd};else e:{var s=(u=(u=l.ownerDocument)&&u.defaultView||window).getSelection&&u.getSelection();if(s&&0!==s.rangeCount){u=s.anchorNode;var c=s.anchorOffset,d=s.focusNode;s=s.focusOffset;try{u.nodeType,d.nodeType}catch(x){u=null;break e}var f=0,p=-1,m=-1,h=0,g=0,b=l,y=null;t:for(;;){for(var v;b!==u||0!==c&&3!==b.nodeType||(p=f+c),b!==d||0!==s&&3!==b.nodeType||(m=f+s),3===b.nodeType&&(f+=b.nodeValue.length),null!==(v=b.firstChild);)y=b,b=v;for(;;){if(b===l)break t;if(y===u&&++h===c&&(p=f),y===d&&++g===s&&(m=f),null!==(v=b.nextSibling))break;y=(b=y).parentNode}b=v}u=-1===p||-1===m?null:{start:p,end:m}}else u=null}u=u||{start:0,end:0}}else u=null;wn={activeElementDetached:null,focusedElem:l,selectionRange:u},Vt=!1,Gl=o;do{try{ku()}catch(x){if(null===Gl)throw Error(i(330));xu(Gl,x),Gl=Gl.nextEffect}}while(null!==Gl);Gl=o;do{try{for(l=e,u=t;null!==Gl;){var w=Gl.effectTag;if(16&w&&ze(Gl.stateNode,""),128&w){var S=Gl.alternate;if(null!==S){var k=S.ref;null!==k&&("function"==typeof k?k(null):k.current=null)}}switch(1038&w){case 2:pl(Gl),Gl.effectTag&=-3;break;case 6:pl(Gl),Gl.effectTag&=-3,bl(Gl.alternate,Gl);break;case 1024:Gl.effectTag&=-1025;break;case 1028:Gl.effectTag&=-1025,bl(Gl.alternate,Gl);break;case 4:bl(Gl.alternate,Gl);break;case 8:gl(l,c=Gl,u),dl(c)}Gl=Gl.nextEffect}}catch(x){if(null===Gl)throw Error(i(330));xu(Gl,x),Gl=Gl.nextEffect}}while(null!==Gl);if(k=wn,S=hn(),w=k.focusedElem,u=k.selectionRange,S!==w&&w&&w.ownerDocument&&mn(w.ownerDocument.documentElement,w)){null!==u&&gn(w)&&(S=u.start,void 0===(k=u.end)&&(k=S),"selectionStart"in w?(w.selectionStart=S,w.selectionEnd=Math.min(k,w.value.length)):(k=(S=w.ownerDocument||document)&&S.defaultView||window).getSelection&&(k=k.getSelection(),c=w.textContent.length,l=Math.min(u.start,c),u=void 0===u.end?l:Math.min(u.end,c),!k.extend&&l>u&&(c=u,u=l,l=c),c=pn(w,l),d=pn(w,u),c&&d&&(1!==k.rangeCount||k.anchorNode!==c.node||k.anchorOffset!==c.offset||k.focusNode!==d.node||k.focusOffset!==d.offset)&&((S=S.createRange()).setStart(c.node,c.offset),k.removeAllRanges(),l>u?(k.addRange(S),k.extend(d.node,d.offset)):(S.setEnd(d.node,d.offset),k.addRange(S))))),S=[];for(k=w;k=k.parentNode;)1===k.nodeType&&S.push({element:k,left:k.scrollLeft,top:k.scrollTop});for("function"==typeof w.focus&&w.focus(),w=0;w<S.length;w++)(k=S[w]).element.scrollLeft=k.left,k.element.scrollTop=k.top}Vt=!!vn,wn=vn=null,e.current=n,Gl=o;do{try{for(w=e;null!==Gl;){var E=Gl.effectTag;if(36&E&&sl(w,Gl.alternate,Gl),128&E){S=void 0;var P=Gl.ref;if(null!==P){var T=Gl.stateNode;switch(Gl.tag){case 5:S=T;break;default:S=T}"function"==typeof P?P(S):P.current=S}}Gl=Gl.nextEffect}}catch(x){if(null===Gl)throw Error(i(330));xu(Gl,x),Gl=Gl.nextEffect}}while(null!==Gl);Gl=null,Bo(),Rl=a}else e.current=n;if(Vl)Vl=!1,Kl=e,Yl=t;else for(Gl=o;null!==Gl;)t=Gl.nextEffect,Gl.nextEffect=null,Gl=t;if(0===(t=e.firstPendingTime)&&(Wl=null),1073741823===t?e===Jl?Xl++:(Xl=0,Jl=e):Xl=0,"function"==typeof _u&&_u(n.stateNode,r),au(e),ql)throw ql=!1,e=Hl,Hl=null,e;return 0!=(8&Rl)||Qo(),null}function ku(){for(;null!==Gl;){var e=Gl.effectTag;0!=(256&e)&&il(Gl.alternate,Gl),0==(512&e)||Vl||(Vl=!0,Ko(97,(function(){return Eu(),null}))),Gl=Gl.nextEffect}}function Eu(){if(90!==Yl){var e=97<Yl?97:Yl;return Yl=90,Vo(e,Pu)}}function Pu(){if(null===Kl)return!1;var e=Kl;if(Kl=null,0!=(48&Rl))throw Error(i(331));var t=Rl;for(Rl|=Cl,e=e.current.firstEffect;null!==e;){try{var n=e;if(0!=(512&n.effectTag))switch(n.tag){case 0:case 11:case 15:case 22:ll(5,n),ul(5,n)}}catch(r){if(null===e)throw Error(i(330));xu(e,r)}n=e.nextEffect,e.nextEffect=null,e=n}return Rl=t,Qo(),!0}function Tu(e,t,n){pa(e,t=wl(e,t=nl(n,t),1073741823)),null!==(e=ru(e,1073741823))&&au(e)}function xu(e,t){if(3===e.tag)Tu(e,e,t);else for(var n=e.return;null!==n;){if(3===n.tag){Tu(n,e,t);break}if(1===n.tag){var r=n.stateNode;if("function"==typeof n.type.getDerivedStateFromError||"function"==typeof r.componentDidCatch&&(null===Wl||!Wl.has(r))){pa(n,e=Sl(n,e=nl(t,e),1073741823)),null!==(n=ru(n,1073741823))&&au(n);break}}n=n.return}}function Cu(e,t,n){var r=e.pingCache;null!==r&&r.delete(t),Nl===e&&Il===n?Dl===Al||Dl===_l&&1073741823===Fl&&qo()-$l<500?cu(e,Il):zl=!0:Uu(e,n)&&(0!==(t=e.lastPingedTime)&&t<n||(e.lastPingedTime=n,au(e)))}function Ou(e,t){var n=e.stateNode;null!==n&&n.delete(t),0===(t=0)&&(t=tu(t=eu(),e,null)),null!==(e=ru(e,t))&&au(e)}kl=function(e,t,n){var r=t.expirationTime;if(null!==e){var o=t.pendingProps;if(e.memoizedProps!==o||bo.current)Ii=!0;else{if(r<n){switch(Ii=!1,t.tag){case 3:Gi(t),Ni();break;case 5:if(Ma(t),4&t.mode&&1!==n&&o.hidden)return t.expirationTime=t.childExpirationTime=1,null;break;case 1:wo(t.type)&&Po(t);break;case 4:ja(t,t.stateNode.containerInfo);break;case 10:r=t.memoizedProps.value,o=t.type._context,mo(ea,o._currentValue),o._currentValue=r;break;case 13:if(null!==t.memoizedState)return 0!==(r=t.child.childExpirationTime)&&r>=n?Ki(e,t,n):(mo(Ua,1&Ua.current),null!==(t=Ji(e,t,n))?t.sibling:null);mo(Ua,1&Ua.current);break;case 19:if(r=t.childExpirationTime>=n,0!=(64&e.effectTag)){if(r)return Xi(e,t,n);t.effectTag|=64}if(null!==(o=t.memoizedState)&&(o.rendering=null,o.tail=null),mo(Ua,Ua.current),!r)return null}return Ji(e,t,n)}Ii=!1}}else Ii=!1;switch(t.expirationTime=0,t.tag){case 2:if(r=t.type,null!==e&&(e.alternate=null,t.alternate=null,t.effectTag|=2),e=t.pendingProps,o=vo(t,go.current),la(t,n),o=Ja(null,t,r,e,o,n),t.effectTag|=1,"object"==typeof o&&null!==o&&"function"==typeof o.render&&void 0===o.$$typeof){if(t.tag=1,t.memoizedState=null,t.updateQueue=null,wo(r)){var a=!0;Po(t)}else a=!1;t.memoizedState=null!==o.state&&void 0!==o.state?o.state:null,ca(t);var l=r.getDerivedStateFromProps;"function"==typeof l&&va(t,r,l,e),o.updater=wa,t.stateNode=o,o._reactInternalFiber=t,Pa(t,r,e,n),t=$i(null,t,r,!0,a,n)}else t.tag=0,Di(null,t,o,n),t=t.child;return t;case 16:e:{if(o=t.elementType,null!==e&&(e.alternate=null,t.alternate=null,t.effectTag|=2),e=t.pendingProps,function(e){if(-1===e._status){e._status=0;var t=e._ctor;t=t(),e._result=t,t.then((function(t){0===e._status&&(t=t.default,e._status=1,e._result=t)}),(function(t){0===e._status&&(e._status=2,e._result=t)}))}}(o),1!==o._status)throw o._result;switch(o=o._result,t.type=o,a=t.tag=function(e){if("function"==typeof e)return Lu(e)?1:0;if(null!=e){if((e=e.$$typeof)===ue)return 11;if(e===de)return 14}return 2}(o),e=Zo(o,e),a){case 0:t=Ui(null,t,o,e,n);break e;case 1:t=zi(null,t,o,e,n);break e;case 11:t=ji(null,t,o,e,n);break e;case 14:t=Fi(null,t,o,Zo(o.type,e),r,n);break e}throw Error(i(306,o,""))}return t;case 0:return r=t.type,o=t.pendingProps,Ui(e,t,r,o=t.elementType===r?o:Zo(r,o),n);case 1:return r=t.type,o=t.pendingProps,zi(e,t,r,o=t.elementType===r?o:Zo(r,o),n);case 3:if(Gi(t),r=t.updateQueue,null===e||null===r)throw Error(i(282));if(r=t.pendingProps,o=null!==(o=t.memoizedState)?o.element:null,da(e,t),ha(t,r,null,n),(r=t.memoizedState.element)===o)Ni(),t=Ji(e,t,n);else{if((o=t.stateNode.hydrate)&&(Ti=Tn(t.stateNode.containerInfo.firstChild),Pi=t,o=xi=!0),o)for(n=Aa(t,null,r,n),t.child=n;n;)n.effectTag=-3&n.effectTag|1024,n=n.sibling;else Di(e,t,r,n),Ni();t=t.child}return t;case 5:return Ma(t),null===e&&_i(t),r=t.type,o=t.pendingProps,a=null!==e?e.memoizedProps:null,l=o.children,kn(r,o)?l=null:null!==a&&kn(r,a)&&(t.effectTag|=16),Bi(e,t),4&t.mode&&1!==n&&o.hidden?(t.expirationTime=t.childExpirationTime=1,t=null):(Di(e,t,l,n),t=t.child),t;case 6:return null===e&&_i(t),null;case 13:return Ki(e,t,n);case 4:return ja(t,t.stateNode.containerInfo),r=t.pendingProps,null===e?t.child=_a(t,null,r,n):Di(e,t,r,n),t.child;case 11:return r=t.type,o=t.pendingProps,ji(e,t,r,o=t.elementType===r?o:Zo(r,o),n);case 7:return Di(e,t,t.pendingProps,n),t.child;case 8:case 12:return Di(e,t,t.pendingProps.children,n),t.child;case 10:e:{r=t.type._context,o=t.pendingProps,l=t.memoizedProps,a=o.value;var u=t.type._context;if(mo(ea,u._currentValue),u._currentValue=a,null!==l)if(u=l.value,0===(a=zr(u,a)?0:0|("function"==typeof r._calculateChangedBits?r._calculateChangedBits(u,a):1073741823))){if(l.children===o.children&&!bo.current){t=Ji(e,t,n);break e}}else for(null!==(u=t.child)&&(u.return=t);null!==u;){var s=u.dependencies;if(null!==s){l=u.child;for(var c=s.firstContext;null!==c;){if(c.context===r&&0!=(c.observedBits&a)){1===u.tag&&((c=fa(n,null)).tag=2,pa(u,c)),u.expirationTime<n&&(u.expirationTime=n),null!==(c=u.alternate)&&c.expirationTime<n&&(c.expirationTime=n),ia(u.return,n),s.expirationTime<n&&(s.expirationTime=n);break}c=c.next}}else l=10===u.tag&&u.type===t.type?null:u.child;if(null!==l)l.return=u;else for(l=u;null!==l;){if(l===t){l=null;break}if(null!==(u=l.sibling)){u.return=l.return,l=u;break}l=l.return}u=l}Di(e,t,o.children,n),t=t.child}return t;case 9:return o=t.type,r=(a=t.pendingProps).children,la(t,n),r=r(o=ua(o,a.unstable_observedBits)),t.effectTag|=1,Di(e,t,r,n),t.child;case 14:return a=Zo(o=t.type,t.pendingProps),Fi(e,t,o,a=Zo(o.type,a),r,n);case 15:return Mi(e,t,t.type,t.pendingProps,r,n);case 17:return r=t.type,o=t.pendingProps,o=t.elementType===r?o:Zo(r,o),null!==e&&(e.alternate=null,t.alternate=null,t.effectTag|=2),t.tag=1,wo(r)?(e=!0,Po(t)):e=!1,la(t,n),ka(t,r,o),Pa(t,r,o,n),$i(null,t,r,!0,e,n);case 19:return Xi(e,t,n)}throw Error(i(156,t.tag))};var _u=null,Au=null;function Ru(e,t,n,r){this.tag=e,this.key=n,this.sibling=this.child=this.return=this.stateNode=this.type=this.elementType=null,this.index=0,this.ref=null,this.pendingProps=t,this.dependencies=this.memoizedState=this.updateQueue=this.memoizedProps=null,this.mode=r,this.effectTag=0,this.lastEffect=this.firstEffect=this.nextEffect=null,this.childExpirationTime=this.expirationTime=0,this.alternate=null}function Nu(e,t,n,r){return new Ru(e,t,n,r)}function Lu(e){return!(!(e=e.prototype)||!e.isReactComponent)}function Iu(e,t){var n=e.alternate;return null===n?((n=Nu(e.tag,t,e.key,e.mode)).elementType=e.elementType,n.type=e.type,n.stateNode=e.stateNode,n.alternate=e,e.alternate=n):(n.pendingProps=t,n.effectTag=0,n.nextEffect=null,n.firstEffect=null,n.lastEffect=null),n.childExpirationTime=e.childExpirationTime,n.expirationTime=e.expirationTime,n.child=e.child,n.memoizedProps=e.memoizedProps,n.memoizedState=e.memoizedState,n.updateQueue=e.updateQueue,t=e.dependencies,n.dependencies=null===t?null:{expirationTime:t.expirationTime,firstContext:t.firstContext,responders:t.responders},n.sibling=e.sibling,n.index=e.index,n.ref=e.ref,n}function Du(e,t,n,r,o,a){var l=2;if(r=e,"function"==typeof e)Lu(e)&&(l=1);else if("string"==typeof e)l=5;else e:switch(e){case ne:return ju(n.children,o,a,t);case le:l=8,o|=7;break;case re:l=8,o|=1;break;case oe:return(e=Nu(12,n,t,8|o)).elementType=oe,e.type=oe,e.expirationTime=a,e;case se:return(e=Nu(13,n,t,o)).type=se,e.elementType=se,e.expirationTime=a,e;case ce:return(e=Nu(19,n,t,o)).elementType=ce,e.expirationTime=a,e;default:if("object"==typeof e&&null!==e)switch(e.$$typeof){case ae:l=10;break e;case ie:l=9;break e;case ue:l=11;break e;case de:l=14;break e;case fe:l=16,r=null;break e;case pe:l=22;break e}throw Error(i(130,null==e?e:typeof e,""))}return(t=Nu(l,n,t,o)).elementType=e,t.type=r,t.expirationTime=a,t}function ju(e,t,n,r){return(e=Nu(7,e,r,t)).expirationTime=n,e}function Fu(e,t,n){return(e=Nu(6,e,null,t)).expirationTime=n,e}function Mu(e,t,n){return(t=Nu(4,null!==e.children?e.children:[],e.key,t)).expirationTime=n,t.stateNode={containerInfo:e.containerInfo,pendingChildren:null,implementation:e.implementation},t}function Bu(e,t,n){this.tag=t,this.current=null,this.containerInfo=e,this.pingCache=this.pendingChildren=null,this.finishedExpirationTime=0,this.finishedWork=null,this.timeoutHandle=-1,this.pendingContext=this.context=null,this.hydrate=n,this.callbackNode=null,this.callbackPriority=90,this.lastExpiredTime=this.lastPingedTime=this.nextKnownPendingLevel=this.lastSuspendedTime=this.firstSuspendedTime=this.firstPendingTime=0}function Uu(e,t){var n=e.firstSuspendedTime;return e=e.lastSuspendedTime,0!==n&&n>=t&&e<=t}function zu(e,t){var n=e.firstSuspendedTime,r=e.lastSuspendedTime;n<t&&(e.firstSuspendedTime=t),(r>t||0===n)&&(e.lastSuspendedTime=t),t<=e.lastPingedTime&&(e.lastPingedTime=0),t<=e.lastExpiredTime&&(e.lastExpiredTime=0)}function $u(e,t){t>e.firstPendingTime&&(e.firstPendingTime=t);var n=e.firstSuspendedTime;0!==n&&(t>=n?e.firstSuspendedTime=e.lastSuspendedTime=e.nextKnownPendingLevel=0:t>=e.lastSuspendedTime&&(e.lastSuspendedTime=t+1),t>e.nextKnownPendingLevel&&(e.nextKnownPendingLevel=t))}function Gu(e,t){var n=e.lastExpiredTime;(0===n||n>t)&&(e.lastExpiredTime=t)}function qu(e,t,n,r){var o=t.current,a=eu(),l=ba.suspense;a=tu(a,o,l);e:if(n){t:{if(et(n=n._reactInternalFiber)!==n||1!==n.tag)throw Error(i(170));var u=n;do{switch(u.tag){case 3:u=u.stateNode.context;break t;case 1:if(wo(u.type)){u=u.stateNode.__reactInternalMemoizedMergedChildContext;break t}}u=u.return}while(null!==u);throw Error(i(171))}if(1===n.tag){var s=n.type;if(wo(s)){n=Eo(n,s,u);break e}}n=u}else n=ho;return null===t.context?t.context=n:t.pendingContext=n,(t=fa(a,l)).payload={element:e},null!==(r=void 0===r?null:r)&&(t.callback=r),pa(o,t),nu(o,a),a}function Hu(e){if(!(e=e.current).child)return null;switch(e.child.tag){case 5:default:return e.child.stateNode}}function Wu(e,t){null!==(e=e.memoizedState)&&null!==e.dehydrated&&e.retryTime<t&&(e.retryTime=t)}function Vu(e,t){Wu(e,t),(e=e.alternate)&&Wu(e,t)}function Ku(e,t,n){var r=new Bu(e,t,n=null!=n&&!0===n.hydrate),o=Nu(3,null,null,2===t?7:1===t?3:0);r.current=o,o.stateNode=r,ca(o),e[An]=r.current,n&&0!==t&&function(e,t){var n=Ze(t);Ct.forEach((function(e){ht(e,t,n)})),Ot.forEach((function(e){ht(e,t,n)}))}(0,9===e.nodeType?e:e.ownerDocument),this._internalRoot=r}function Yu(e){return!(!e||1!==e.nodeType&&9!==e.nodeType&&11!==e.nodeType&&(8!==e.nodeType||" react-mount-point-unstable "!==e.nodeValue))}function Qu(e,t,n,r,o){var a=n._reactRootContainer;if(a){var i=a._internalRoot;if("function"==typeof o){var l=o;o=function(){var e=Hu(i);l.call(e)}}qu(t,i,e,o)}else{if(a=n._reactRootContainer=function(e,t){if(t||(t=!(!(t=e?9===e.nodeType?e.documentElement:e.firstChild:null)||1!==t.nodeType||!t.hasAttribute("data-reactroot"))),!t)for(var n;n=e.lastChild;)e.removeChild(n);return new Ku(e,0,t?{hydrate:!0}:void 0)}(n,r),i=a._internalRoot,"function"==typeof o){var u=o;o=function(){var e=Hu(i);u.call(e)}}su((function(){qu(t,i,e,o)}))}return Hu(i)}function Xu(e,t,n){var r=3<arguments.length&&void 0!==arguments[3]?arguments[3]:null;return{$$typeof:te,key:null==r?null:""+r,children:e,containerInfo:t,implementation:n}}function Ju(e,t){var n=2<arguments.length&&void 0!==arguments[2]?arguments[2]:null;if(!Yu(t))throw Error(i(200));return Xu(e,t,null,n)}Ku.prototype.render=function(e){qu(e,this._internalRoot,null,null)},Ku.prototype.unmount=function(){var e=this._internalRoot,t=e.containerInfo;qu(null,e,null,(function(){t[An]=null}))},gt=function(e){if(13===e.tag){var t=Jo(eu(),150,100);nu(e,t),Vu(e,t)}},bt=function(e){13===e.tag&&(nu(e,3),Vu(e,3))},yt=function(e){if(13===e.tag){var t=eu();nu(e,t=tu(t,e,null)),Vu(e,t)}},O=function(e,t,n){switch(t){case"input":if(Te(e,n),t=n.name,"radio"===n.type&&null!=t){for(n=e;n.parentNode;)n=n.parentNode;for(n=n.querySelectorAll("input[name="+JSON.stringify(""+t)+'][type="radio"]'),t=0;t<n.length;t++){var r=n[t];if(r!==e&&r.form===e.form){var o=In(r);if(!o)throw Error(i(90));Se(r),Te(r,o)}}}break;case"textarea":Ne(e,n);break;case"select":null!=(t=n.value)&&_e(e,!!n.multiple,t,!1)}},I=uu,D=function(e,t,n,r,o){var a=Rl;Rl|=4;try{return Vo(98,e.bind(null,t,n,r,o))}finally{0===(Rl=a)&&Qo()}},j=function(){0==(49&Rl)&&(function(){if(null!==Ql){var e=Ql;Ql=null,e.forEach((function(e,t){Gu(t,e),au(t)})),Qo()}}(),Eu())},F=function(e,t){var n=Rl;Rl|=2;try{return e(t)}finally{0===(Rl=n)&&Qo()}};var Zu={Events:[Nn,Ln,In,x,E,zn,function(e){at(e,Un)},N,L,Jt,ut,Eu,{current:!1}]};!function(e){var t=e.findFiberByHostInstance;(function(e){if("undefined"==typeof __REACT_DEVTOOLS_GLOBAL_HOOK__)return!1;var t=__REACT_DEVTOOLS_GLOBAL_HOOK__;if(t.isDisabled||!t.supportsFiber)return!0;try{var n=t.inject(e);_u=function(e){try{t.onCommitFiberRoot(n,e,void 0,64==(64&e.current.effectTag))}catch(r){}},Au=function(e){try{t.onCommitFiberUnmount(n,e)}catch(r){}}}catch(r){}})(o({},e,{overrideHookState:null,overrideProps:null,setSuspenseHandler:null,scheduleUpdate:null,currentDispatcherRef:Q.ReactCurrentDispatcher,findHostInstanceByFiber:function(e){return null===(e=rt(e))?null:e.stateNode},findFiberByHostInstance:function(e){return t?t(e):null},findHostInstancesForRefresh:null,scheduleRefresh:null,scheduleRoot:null,setRefreshHandler:null,getCurrentFiber:null}))}({findFiberByHostInstance:Rn,bundleType:0,version:"16.13.1",rendererPackageName:"react-dom"}),t.__SECRET_INTERNALS_DO_NOT_USE_OR_YOU_WILL_BE_FIRED=Zu,t.createPortal=Ju,t.findDOMNode=function(e){if(null==e)return null;if(1===e.nodeType)return e;var t=e._reactInternalFiber;if(void 0===t){if("function"==typeof e.render)throw Error(i(188));throw Error(i(268,Object.keys(e)))}return e=null===(e=rt(t))?null:e.stateNode},t.flushSync=function(e,t){if(0!=(48&Rl))throw Error(i(187));var n=Rl;Rl|=1;try{return Vo(99,e.bind(null,t))}finally{Rl=n,Qo()}},t.hydrate=function(e,t,n){if(!Yu(t))throw Error(i(200));return Qu(null,e,t,!0,n)},t.render=function(e,t,n){if(!Yu(t))throw Error(i(200));return Qu(null,e,t,!1,n)},t.unmountComponentAtNode=function(e){if(!Yu(e))throw Error(i(40));return!!e._reactRootContainer&&(su((function(){Qu(null,null,e,!1,(function(){e._reactRootContainer=null,e[An]=null}))})),!0)},t.unstable_batchedUpdates=uu,t.unstable_createPortal=function(e,t){return Ju(e,t,2<arguments.length&&void 0!==arguments[2]?arguments[2]:null)},t.unstable_renderSubtreeIntoContainer=function(e,t,n,r){if(!Yu(n))throw Error(i(200));if(null==e||void 0===e._reactInternalFiber)throw Error(i(38));return Qu(e,t,n,!1,r)},t.version="16.13.1"},function(e,t,n){"use strict";e.exports=n(42)},function(e,t,n){"use strict";var r,o,a,i,l;if("undefined"==typeof window||"function"!=typeof MessageChannel){var u=null,s=null,c=function(){if(null!==u)try{var e=t.unstable_now();u(!0,e),u=null}catch(n){throw setTimeout(c,0),n}},d=Date.now();t.unstable_now=function(){return Date.now()-d},r=function(e){null!==u?setTimeout(r,0,e):(u=e,setTimeout(c,0))},o=function(e,t){s=setTimeout(e,t)},a=function(){clearTimeout(s)},i=function(){return!1},l=t.unstable_forceFrameRate=function(){}}else{var f=window.performance,p=window.Date,m=window.setTimeout,h=window.clearTimeout;if("undefined"!=typeof console){var g=window.cancelAnimationFrame;"function"!=typeof window.requestAnimationFrame&&console.error("This browser doesn't support requestAnimationFrame. Make sure that you load a polyfill in older browsers. https://fb.me/react-polyfills"),"function"!=typeof g&&console.error("This browser doesn't support cancelAnimationFrame. Make sure that you load a polyfill in older browsers. https://fb.me/react-polyfills")}if("object"==typeof f&&"function"==typeof f.now)t.unstable_now=function(){return f.now()};else{var b=p.now();t.unstable_now=function(){return p.now()-b}}var y=!1,v=null,w=-1,S=5,k=0;i=function(){return t.unstable_now()>=k},l=function(){},t.unstable_forceFrameRate=function(e){0>e||125<e?console.error("forceFrameRate takes a positive int between 0 and 125, forcing framerates higher than 125 fps is not unsupported"):S=0<e?Math.floor(1e3/e):5};var E=new MessageChannel,P=E.port2;E.port1.onmessage=function(){if(null!==v){var e=t.unstable_now();k=e+S;try{v(!0,e)?P.postMessage(null):(y=!1,v=null)}catch(n){throw P.postMessage(null),n}}else y=!1},r=function(e){v=e,y||(y=!0,P.postMessage(null))},o=function(e,n){w=m((function(){e(t.unstable_now())}),n)},a=function(){h(w),w=-1}}function T(e,t){var n=e.length;e.push(t);e:for(;;){var r=n-1>>>1,o=e[r];if(!(void 0!==o&&0<O(o,t)))break e;e[r]=t,e[n]=o,n=r}}function x(e){return void 0===(e=e[0])?null:e}function C(e){var t=e[0];if(void 0!==t){var n=e.pop();if(n!==t){e[0]=n;e:for(var r=0,o=e.length;r<o;){var a=2*(r+1)-1,i=e[a],l=a+1,u=e[l];if(void 0!==i&&0>O(i,n))void 0!==u&&0>O(u,i)?(e[r]=u,e[l]=n,r=l):(e[r]=i,e[a]=n,r=a);else{if(!(void 0!==u&&0>O(u,n)))break e;e[r]=u,e[l]=n,r=l}}}return t}return null}function O(e,t){var n=e.sortIndex-t.sortIndex;return 0!==n?n:e.id-t.id}var _=[],A=[],R=1,N=null,L=3,I=!1,D=!1,j=!1;function F(e){for(var t=x(A);null!==t;){if(null===t.callback)C(A);else{if(!(t.startTime<=e))break;C(A),t.sortIndex=t.expirationTime,T(_,t)}t=x(A)}}function M(e){if(j=!1,F(e),!D)if(null!==x(_))D=!0,r(B);else{var t=x(A);null!==t&&o(M,t.startTime-e)}}function B(e,n){D=!1,j&&(j=!1,a()),I=!0;var r=L;try{for(F(n),N=x(_);null!==N&&(!(N.expirationTime>n)||e&&!i());){var l=N.callback;if(null!==l){N.callback=null,L=N.priorityLevel;var u=l(N.expirationTime<=n);n=t.unstable_now(),"function"==typeof u?N.callback=u:N===x(_)&&C(_),F(n)}else C(_);N=x(_)}if(null!==N)var s=!0;else{var c=x(A);null!==c&&o(M,c.startTime-n),s=!1}return s}finally{N=null,L=r,I=!1}}function U(e){switch(e){case 1:return-1;case 2:return 250;case 5:return 1073741823;case 4:return 1e4;default:return 5e3}}var z=l;t.unstable_IdlePriority=5,t.unstable_ImmediatePriority=1,t.unstable_LowPriority=4,t.unstable_NormalPriority=3,t.unstable_Profiling=null,t.unstable_UserBlockingPriority=2,t.unstable_cancelCallback=function(e){e.callback=null},t.unstable_continueExecution=function(){D||I||(D=!0,r(B))},t.unstable_getCurrentPriorityLevel=function(){return L},t.unstable_getFirstCallbackNode=function(){return x(_)},t.unstable_next=function(e){switch(L){case 1:case 2:case 3:var t=3;break;default:t=L}var n=L;L=t;try{return e()}finally{L=n}},t.unstable_pauseExecution=function(){},t.unstable_requestPaint=z,t.unstable_runWithPriority=function(e,t){switch(e){case 1:case 2:case 3:case 4:case 5:break;default:e=3}var n=L;L=e;try{return t()}finally{L=n}},t.unstable_scheduleCallback=function(e,n,i){var l=t.unstable_now();if("object"==typeof i&&null!==i){var u=i.delay;u="number"==typeof u&&0<u?l+u:l,i="number"==typeof i.timeout?i.timeout:U(e)}else i=U(e),u=l;return e={id:R++,callback:n,priorityLevel:e,startTime:u,expirationTime:i=u+i,sortIndex:-1},u>l?(e.sortIndex=u,T(A,e),null===x(_)&&e===x(A)&&(j?a():j=!0,o(M,u-l))):(e.sortIndex=i,T(_,e),D||I||(D=!0,r(B))),e},t.unstable_shouldYield=function(){var e=t.unstable_now();F(e);var n=x(_);return n!==N&&null!==N&&null!==n&&null!==n.callback&&n.startTime<=e&&n.expirationTime<N.expirationTime||i()},t.unstable_wrapCallback=function(e){var t=L;return function(){var n=L;L=t;try{return e.apply(this,arguments)}finally{L=n}}}},function(e,t,n){"use strict";var r=n(44);function o(){}function a(){}a.resetWarningCache=o,e.exports=function(){function e(e,t,n,o,a,i){if(i!==r){var l=new Error("Calling PropTypes validators directly is not supported by the `prop-types` package. Use PropTypes.checkPropTypes() to call them. Read more at http://fb.me/use-check-prop-types");throw l.name="Invariant Violation",l}}function t(){return e}e.isRequired=e;var n={array:e,bool:e,func:e,number:e,object:e,string:e,symbol:e,any:e,arrayOf:t,element:e,elementType:e,instanceOf:t,node:e,objectOf:t,oneOf:t,oneOfType:t,shape:t,exact:t,checkPropTypes:a,resetWarningCache:o};return n.PropTypes=n,n}},function(e,t,n){"use strict";e.exports="SECRET_DO_NOT_PASS_THIS_OR_YOU_WILL_BE_FIRED"},function(e,t){e.exports=Array.isArray||function(e){return"[object Array]"==Object.prototype.toString.call(e)}},function(e,t,n){"use strict";var r="function"==typeof Symbol&&Symbol.for,o=r?Symbol.for("react.element"):60103,a=r?Symbol.for("react.portal"):60106,i=r?Symbol.for("react.fragment"):60107,l=r?Symbol.for("react.strict_mode"):60108,u=r?Symbol.for("react.profiler"):60114,s=r?Symbol.for("react.provider"):60109,c=r?Symbol.for("react.context"):60110,d=r?Symbol.for("react.async_mode"):60111,f=r?Symbol.for("react.concurrent_mode"):60111,p=r?Symbol.for("react.forward_ref"):60112,m=r?Symbol.for("react.suspense"):60113,h=r?Symbol.for("react.suspense_list"):60120,g=r?Symbol.for("react.memo"):60115,b=r?Symbol.for("react.lazy"):60116,y=r?Symbol.for("react.block"):60121,v=r?Symbol.for("react.fundamental"):60117,w=r?Symbol.for("react.responder"):60118,S=r?Symbol.for("react.scope"):60119;function k(e){if("object"==typeof e&&null!==e){var t=e.$$typeof;switch(t){case o:switch(e=e.type){case d:case f:case i:case u:case l:case m:return e;default:switch(e=e&&e.$$typeof){case c:case p:case b:case g:case s:return e;default:return t}}case a:return t}}}function E(e){return k(e)===f}t.AsyncMode=d,t.ConcurrentMode=f,t.ContextConsumer=c,t.ContextProvider=s,t.Element=o,t.ForwardRef=p,t.Fragment=i,t.Lazy=b,t.Memo=g,t.Portal=a,t.Profiler=u,t.StrictMode=l,t.Suspense=m,t.isAsyncMode=function(e){return E(e)||k(e)===d},t.isConcurrentMode=E,t.isContextConsumer=function(e){return k(e)===c},t.isContextProvider=function(e){return k(e)===s},t.isElement=function(e){return"object"==typeof e&&null!==e&&e.$$typeof===o},t.isForwardRef=function(e){return k(e)===p},t.isFragment=function(e){return k(e)===i},t.isLazy=function(e){return k(e)===b},t.isMemo=function(e){return k(e)===g},t.isPortal=function(e){return k(e)===a},t.isProfiler=function(e){return k(e)===u},t.isStrictMode=function(e){return k(e)===l},t.isSuspense=function(e){return k(e)===m},t.isValidElementType=function(e){return"string"==typeof e||"function"==typeof e||e===i||e===f||e===u||e===l||e===m||e===h||"object"==typeof e&&null!==e&&(e.$$typeof===b||e.$$typeof===g||e.$$typeof===s||e.$$typeof===c||e.$$typeof===p||e.$$typeof===v||e.$$typeof===w||e.$$typeof===S||e.$$typeof===y)},t.typeOf=k},,function(e,t,n){const r=n(49),o=n(50),a=new Set;function i(e){void 0===e?e=Object.keys(r.languages).filter((e=>"meta"!=e)):Array.isArray(e)||(e=[e]);const t=[...a,...Object.keys(Prism.languages)];o(r,e,t).load((e=>{if(!(e in r.languages))return void(i.silent||console.warn("Language does not exist: "+e));const t="./prism-"+e;delete n.c[n(19).resolve(t)],delete Prism.languages[e],n(19)(t),a.add(e)}))}i.silent=!1,e.exports=i},function(e,t,n){e.exports&&(e.exports={core:{meta:{path:"components/prism-core.js",option:"mandatory"},core:"Core"},themes:{meta:{path:"themes/{id}.css",link:"index.html?theme={id}",exclusive:!0},prism:{title:"Default",option:"default"},"prism-dark":"Dark","prism-funky":"Funky","prism-okaidia":{title:"Okaidia",owner:"ocodia"},"prism-twilight":{title:"Twilight",owner:"remybach"},"prism-coy":{title:"Coy",owner:"tshedor"},"prism-solarizedlight":{title:"Solarized Light",owner:"hectormatos2011 "},"prism-tomorrow":{title:"Tomorrow Night",owner:"Rosey"}},languages:{meta:{path:"components/prism-{id}",noCSS:!0,examplesPath:"examples/prism-{id}",addCheckAll:!0},markup:{title:"Markup",alias:["html","xml","svg","mathml","ssml","atom","rss"],aliasTitles:{html:"HTML",xml:"XML",svg:"SVG",mathml:"MathML",ssml:"SSML",atom:"Atom",rss:"RSS"},option:"default"},css:{title:"CSS",option:"default",modify:"markup"},clike:{title:"C-like",option:"default"},javascript:{title:"JavaScript",require:"clike",modify:"markup",optional:"regex",alias:"js",option:"default"},abap:{title:"ABAP",owner:"dellagustin"},abnf:{title:"ABNF",owner:"RunDevelopment"},actionscript:{title:"ActionScript",require:"javascript",modify:"markup",owner:"Golmote"},ada:{title:"Ada",owner:"Lucretia"},agda:{title:"Agda",owner:"xy-ren"},al:{title:"AL",owner:"RunDevelopment"},antlr4:{title:"ANTLR4",alias:"g4",owner:"RunDevelopment"},apacheconf:{title:"Apache Configuration",owner:"GuiTeK"},apex:{title:"Apex",require:["clike","sql"],owner:"RunDevelopment"},apl:{title:"APL",owner:"ngn"},applescript:{title:"AppleScript",owner:"Golmote"},aql:{title:"AQL",owner:"RunDevelopment"},arduino:{title:"Arduino",require:"cpp",owner:"dkern"},arff:{title:"ARFF",owner:"Golmote"},asciidoc:{alias:"adoc",title:"AsciiDoc",owner:"Golmote"},aspnet:{title:"ASP.NET (C#)",require:["markup","csharp"],owner:"nauzilus"},asm6502:{title:"6502 Assembly",owner:"kzurawel"},autohotkey:{title:"AutoHotkey",owner:"aviaryan"},autoit:{title:"AutoIt",owner:"Golmote"},bash:{title:"Bash",alias:"shell",aliasTitles:{shell:"Shell"},owner:"zeitgeist87"},basic:{title:"BASIC",owner:"Golmote"},batch:{title:"Batch",owner:"Golmote"},bbcode:{title:"BBcode",alias:"shortcode",aliasTitles:{shortcode:"Shortcode"},owner:"RunDevelopment"},birb:{title:"Birb",require:"clike",owner:"Calamity210"},bison:{title:"Bison",require:"c",owner:"Golmote"},bnf:{title:"BNF",alias:"rbnf",aliasTitles:{rbnf:"RBNF"},owner:"RunDevelopment"},brainfuck:{title:"Brainfuck",owner:"Golmote"},brightscript:{title:"BrightScript",owner:"RunDevelopment"},bro:{title:"Bro",owner:"wayward710"},bsl:{title:"BSL (1C:Enterprise)",alias:"oscript",aliasTitles:{oscript:"OneScript"},owner:"Diversus23"},c:{title:"C",require:"clike",owner:"zeitgeist87"},csharp:{title:"C#",require:"clike",alias:["cs","dotnet"],owner:"mvalipour"},cpp:{title:"C++",require:"c",owner:"zeitgeist87"},cil:{title:"CIL",owner:"sbrl"},clojure:{title:"Clojure",owner:"troglotit"},cmake:{title:"CMake",owner:"mjrogozinski"},coffeescript:{title:"CoffeeScript",require:"javascript",alias:"coffee",owner:"R-osey"},concurnas:{title:"Concurnas",alias:"conc",owner:"jasontatton"},csp:{title:"Content-Security-Policy",owner:"ScottHelme"},crystal:{title:"Crystal",require:"ruby",owner:"MakeNowJust"},"css-extras":{title:"CSS Extras",require:"css",modify:"css",owner:"milesj"},cypher:{title:"Cypher",owner:"RunDevelopment"},d:{title:"D",require:"clike",owner:"Golmote"},dart:{title:"Dart",require:"clike",owner:"Golmote"},dataweave:{title:"DataWeave",owner:"machaval"},dax:{title:"DAX",owner:"peterbud"},dhall:{title:"Dhall",owner:"RunDevelopment"},diff:{title:"Diff",owner:"uranusjr"},django:{title:"Django/Jinja2",require:"markup-templating",alias:"jinja2",owner:"romanvm"},"dns-zone-file":{title:"DNS zone file",owner:"RunDevelopment",alias:"dns-zone"},docker:{title:"Docker",alias:"dockerfile",owner:"JustinBeckwith"},ebnf:{title:"EBNF",owner:"RunDevelopment"},editorconfig:{title:"EditorConfig",owner:"osipxd"},eiffel:{title:"Eiffel",owner:"Conaclos"},ejs:{title:"EJS",require:["javascript","markup-templating"],owner:"RunDevelopment",alias:"eta",aliasTitles:{eta:"Eta"}},elixir:{title:"Elixir",owner:"Golmote"},elm:{title:"Elm",owner:"zwilias"},etlua:{title:"Embedded Lua templating",require:["lua","markup-templating"],owner:"RunDevelopment"},erb:{title:"ERB",require:["ruby","markup-templating"],owner:"Golmote"},erlang:{title:"Erlang",owner:"Golmote"},"excel-formula":{title:"Excel Formula",alias:["xlsx","xls"],owner:"RunDevelopment"},fsharp:{title:"F#",require:"clike",owner:"simonreynolds7"},factor:{title:"Factor",owner:"catb0t"},"firestore-security-rules":{title:"Firestore security rules",require:"clike",owner:"RunDevelopment"},flow:{title:"Flow",require:"javascript",owner:"Golmote"},fortran:{title:"Fortran",owner:"Golmote"},ftl:{title:"FreeMarker Template Language",require:"markup-templating",owner:"RunDevelopment"},gml:{title:"GameMaker Language",alias:"gamemakerlanguage",require:"clike",owner:"LiarOnce"},gcode:{title:"G-code",owner:"RunDevelopment"},gdscript:{title:"GDScript",owner:"RunDevelopment"},gedcom:{title:"GEDCOM",owner:"Golmote"},gherkin:{title:"Gherkin",owner:"hason"},git:{title:"Git",owner:"lgiraudel"},glsl:{title:"GLSL",require:"c",owner:"Golmote"},go:{title:"Go",require:"clike",owner:"arnehormann"},graphql:{title:"GraphQL",optional:["markdown"],owner:"Golmote"},groovy:{title:"Groovy",require:"clike",owner:"robfletcher"},haml:{title:"Haml",require:"ruby",optional:["css","css-extras","coffeescript","erb","javascript","less","markdown","scss","textile"],owner:"Golmote"},handlebars:{title:"Handlebars",require:"markup-templating",owner:"Golmote"},haskell:{title:"Haskell",alias:"hs",owner:"bholst"},haxe:{title:"Haxe",require:"clike",owner:"Golmote"},hcl:{title:"HCL",owner:"outsideris"},hlsl:{title:"HLSL",require:"c",owner:"RunDevelopment"},http:{title:"HTTP",optional:["css","javascript","json","markup"],owner:"danielgtaylor"},hpkp:{title:"HTTP Public-Key-Pins",owner:"ScottHelme"},hsts:{title:"HTTP Strict-Transport-Security",owner:"ScottHelme"},ichigojam:{title:"IchigoJam",owner:"BlueCocoa"},icon:{title:"Icon",owner:"Golmote"},ignore:{title:".ignore",owner:"osipxd",alias:["gitignore","hgignore","npmignore"],aliasTitles:{gitignore:".gitignore",hgignore:".hgignore",npmignore:".npmignore"}},inform7:{title:"Inform 7",owner:"Golmote"},ini:{title:"Ini",owner:"aviaryan"},io:{title:"Io",owner:"AlesTsurko"},j:{title:"J",owner:"Golmote"},java:{title:"Java",require:"clike",owner:"sherblot"},javadoc:{title:"JavaDoc",require:["markup","java","javadoclike"],modify:"java",optional:"scala",owner:"RunDevelopment"},javadoclike:{title:"JavaDoc-like",modify:["java","javascript","php"],owner:"RunDevelopment"},javastacktrace:{title:"Java stack trace",owner:"RunDevelopment"},jolie:{title:"Jolie",require:"clike",owner:"thesave"},jq:{title:"JQ",owner:"RunDevelopment"},jsdoc:{title:"JSDoc",require:["javascript","javadoclike","typescript"],modify:"javascript",optional:["actionscript","coffeescript"],owner:"RunDevelopment"},"js-extras":{title:"JS Extras",require:"javascript",modify:"javascript",optional:["actionscript","coffeescript","flow","n4js","typescript"],owner:"RunDevelopment"},json:{title:"JSON",alias:"webmanifest",aliasTitles:{webmanifest:"Web App Manifest"},owner:"CupOfTea696"},json5:{title:"JSON5",require:"json",owner:"RunDevelopment"},jsonp:{title:"JSONP",require:"json",owner:"RunDevelopment"},jsstacktrace:{title:"JS stack trace",owner:"sbrl"},"js-templates":{title:"JS Templates",require:"javascript",modify:"javascript",optional:["css","css-extras","graphql","markdown","markup"],owner:"RunDevelopment"},julia:{title:"Julia",owner:"cdagnino"},keyman:{title:"Keyman",owner:"mcdurdin"},kotlin:{title:"Kotlin",alias:["kt","kts"],aliasTitles:{kts:"Kotlin Script"},require:"clike",owner:"Golmote"},latex:{title:"LaTeX",alias:["tex","context"],aliasTitles:{tex:"TeX",context:"ConTeXt"},owner:"japborst"},latte:{title:"Latte",require:["clike","markup-templating","php"],owner:"nette"},less:{title:"Less",require:"css",optional:"css-extras",owner:"Golmote"},lilypond:{title:"LilyPond",require:"scheme",alias:"ly",owner:"RunDevelopment"},liquid:{title:"Liquid",owner:"cinhtau"},lisp:{title:"Lisp",alias:["emacs","elisp","emacs-lisp"],owner:"JuanCaicedo"},livescript:{title:"LiveScript",owner:"Golmote"},llvm:{title:"LLVM IR",owner:"porglezomp"},lolcode:{title:"LOLCODE",owner:"Golmote"},lua:{title:"Lua",owner:"Golmote"},makefile:{title:"Makefile",owner:"Golmote"},markdown:{title:"Markdown",require:"markup",optional:"yaml",alias:"md",owner:"Golmote"},"markup-templating":{title:"Markup templating",require:"markup",owner:"Golmote"},matlab:{title:"MATLAB",owner:"Golmote"},mel:{title:"MEL",owner:"Golmote"},mizar:{title:"Mizar",owner:"Golmote"},mongodb:{title:"MongoDB",owner:"airs0urce",require:"javascript"},monkey:{title:"Monkey",owner:"Golmote"},moonscript:{title:"MoonScript",alias:"moon",owner:"RunDevelopment"},n1ql:{title:"N1QL",owner:"TMWilds"},n4js:{title:"N4JS",require:"javascript",optional:"jsdoc",alias:"n4jsd",owner:"bsmith-n4"},"nand2tetris-hdl":{title:"Nand To Tetris HDL",owner:"stephanmax"},naniscript:{title:"Naninovel Script",owner:"Elringus",alias:"nani"},nasm:{title:"NASM",owner:"rbmj"},neon:{title:"NEON",owner:"nette"},nginx:{title:"nginx",owner:"westonganger",require:"clike"},nim:{title:"Nim",owner:"Golmote"},nix:{title:"Nix",owner:"Golmote"},nsis:{title:"NSIS",owner:"idleberg"},objectivec:{title:"Objective-C",require:"c",alias:"objc",owner:"uranusjr"},ocaml:{title:"OCaml",owner:"Golmote"},opencl:{title:"OpenCL",require:"c",modify:["c","cpp"],owner:"Milania1"},oz:{title:"Oz",owner:"Golmote"},parigp:{title:"PARI/GP",owner:"Golmote"},parser:{title:"Parser",require:"markup",owner:"Golmote"},pascal:{title:"Pascal",alias:"objectpascal",aliasTitles:{objectpascal:"Object Pascal"},owner:"Golmote"},pascaligo:{title:"Pascaligo",owner:"DefinitelyNotAGoat"},pcaxis:{title:"PC-Axis",alias:"px",owner:"RunDevelopment"},peoplecode:{title:"PeopleCode",alias:"pcode",owner:"RunDevelopment"},perl:{title:"Perl",owner:"Golmote"},php:{title:"PHP",require:"markup-templating",owner:"milesj"},phpdoc:{title:"PHPDoc",require:["php","javadoclike"],modify:"php",owner:"RunDevelopment"},"php-extras":{title:"PHP Extras",require:"php",modify:"php",owner:"milesj"},plsql:{title:"PL/SQL",require:"sql",owner:"Golmote"},powerquery:{title:"PowerQuery",alias:["pq","mscript"],owner:"peterbud"},powershell:{title:"PowerShell",owner:"nauzilus"},processing:{title:"Processing",require:"clike",owner:"Golmote"},prolog:{title:"Prolog",owner:"Golmote"},promql:{title:"PromQL",owner:"arendjr"},properties:{title:".properties",owner:"Golmote"},protobuf:{title:"Protocol Buffers",require:"clike",owner:"just-boris"},pug:{title:"Pug",require:["markup","javascript"],optional:["coffeescript","ejs","handlebars","less","livescript","markdown","scss","stylus","twig"],owner:"Golmote"},puppet:{title:"Puppet",owner:"Golmote"},pure:{title:"Pure",optional:["c","cpp","fortran"],owner:"Golmote"},purebasic:{title:"PureBasic",require:"clike",alias:"pbfasm",owner:"HeX0R101"},purescript:{title:"PureScript",require:"haskell",alias:"purs",owner:"sriharshachilakapati"},python:{title:"Python",alias:"py",owner:"multipetros"},q:{title:"Q (kdb+ database)",owner:"Golmote"},qml:{title:"QML",require:"javascript",owner:"RunDevelopment"},qore:{title:"Qore",require:"clike",owner:"temnroegg"},r:{title:"R",owner:"Golmote"},racket:{title:"Racket",require:"scheme",alias:"rkt",owner:"RunDevelopment"},jsx:{title:"React JSX",require:["markup","javascript"],optional:["jsdoc","js-extras","js-templates"],owner:"vkbansal"},tsx:{title:"React TSX",require:["jsx","typescript"]},reason:{title:"Reason",require:"clike",owner:"Golmote"},regex:{title:"Regex",owner:"RunDevelopment"},renpy:{title:"Ren'py",alias:"rpy",owner:"HyuchiaDiego"},rest:{title:"reST (reStructuredText)",owner:"Golmote"},rip:{title:"Rip",owner:"ravinggenius"},roboconf:{title:"Roboconf",owner:"Golmote"},robotframework:{title:"Robot Framework",alias:"robot",owner:"RunDevelopment"},ruby:{title:"Ruby",require:"clike",alias:"rb",owner:"samflores"},rust:{title:"Rust",owner:"Golmote"},sas:{title:"SAS",optional:["groovy","lua","sql"],owner:"Golmote"},sass:{title:"Sass (Sass)",require:"css",owner:"Golmote"},scss:{title:"Sass (Scss)",require:"css",optional:"css-extras",owner:"MoOx"},scala:{title:"Scala",require:"java",owner:"jozic"},scheme:{title:"Scheme",owner:"bacchus123"},"shell-session":{title:"Shell session",require:"bash",alias:["sh-session","shellsession"],owner:"RunDevelopment"},smali:{title:"Smali",owner:"RunDevelopment"},smalltalk:{title:"Smalltalk",owner:"Golmote"},smarty:{title:"Smarty",require:"markup-templating",owner:"Golmote"},sml:{title:"SML",alias:"smlnj",aliasTitles:{smlnj:"SML/NJ"},owner:"RunDevelopment"},solidity:{title:"Solidity (Ethereum)",alias:"sol",require:"clike",owner:"glachaud"},"solution-file":{title:"Solution file",alias:"sln",owner:"RunDevelopment"},soy:{title:"Soy (Closure Template)",require:"markup-templating",owner:"Golmote"},sparql:{title:"SPARQL",require:"turtle",owner:"Triply-Dev",alias:"rq"},"splunk-spl":{title:"Splunk SPL",owner:"RunDevelopment"},sqf:{title:"SQF: Status Quo Function (Arma 3)",require:"clike",owner:"RunDevelopment"},sql:{title:"SQL",owner:"multipetros"},stan:{title:"Stan",owner:"RunDevelopment"},iecst:{title:"Structured Text (IEC 61131-3)",owner:"serhioromano"},stylus:{title:"Stylus",owner:"vkbansal"},swift:{title:"Swift",require:"clike",owner:"chrischares"},"t4-templating":{title:"T4 templating",owner:"RunDevelopment"},"t4-cs":{title:"T4 Text Templates (C#)",require:["t4-templating","csharp"],alias:"t4",owner:"RunDevelopment"},"t4-vb":{title:"T4 Text Templates (VB)",require:["t4-templating","vbnet"],owner:"RunDevelopment"},tap:{title:"TAP",owner:"isaacs",require:"yaml"},tcl:{title:"Tcl",owner:"PeterChaplin"},tt2:{title:"Template Toolkit 2",require:["clike","markup-templating"],owner:"gflohr"},textile:{title:"Textile",require:"markup",optional:"css",owner:"Golmote"},toml:{title:"TOML",owner:"RunDevelopment"},turtle:{title:"Turtle",alias:"trig",aliasTitles:{trig:"TriG"},owner:"jakubklimek"},twig:{title:"Twig",require:"markup",owner:"brandonkelly"},typescript:{title:"TypeScript",require:"javascript",optional:"js-templates",alias:"ts",owner:"vkbansal"},typoscript:{title:"TypoScript",alias:"tsconfig",aliasTitles:{tsconfig:"TSConfig"},owner:"dkern"},unrealscript:{title:"UnrealScript",alias:["uscript","uc"],owner:"RunDevelopment"},vala:{title:"Vala",require:"clike",optional:"regex",owner:"TemplarVolk"},vbnet:{title:"VB.Net",require:"basic",owner:"Bigsby"},velocity:{title:"Velocity",require:"markup",owner:"Golmote"},verilog:{title:"Verilog",owner:"a-rey"},vhdl:{title:"VHDL",owner:"a-rey"},vim:{title:"vim",owner:"westonganger"},"visual-basic":{title:"Visual Basic",alias:["vb","vba"],aliasTitles:{vba:"VBA"},owner:"Golmote"},warpscript:{title:"WarpScript",owner:"RunDevelopment"},wasm:{title:"WebAssembly",owner:"Golmote"},wiki:{title:"Wiki markup",require:"markup",owner:"Golmote"},xeora:{title:"Xeora",require:"markup",alias:"xeoracube",aliasTitles:{xeoracube:"XeoraCube"},owner:"freakmaxi"},"xml-doc":{title:"XML doc (.net)",require:"markup",modify:["csharp","fsharp","vbnet"],owner:"RunDevelopment"},xojo:{title:"Xojo (REALbasic)",owner:"Golmote"},xquery:{title:"XQuery",require:"markup",owner:"Golmote"},yaml:{title:"YAML",alias:"yml",owner:"hason"},yang:{title:"YANG",owner:"RunDevelopment"},zig:{title:"Zig",owner:"RunDevelopment"}},plugins:{meta:{path:"plugins/{id}/prism-{id}",link:"plugins/{id}/"},"line-highlight":{title:"Line Highlight",description:"Highlights specific lines and/or line ranges."},"line-numbers":{title:"Line Numbers",description:"Line number at the beginning of code lines.",owner:"kuba-kubula"},"show-invisibles":{title:"Show Invisibles",description:"Show hidden characters such as tabs and line breaks.",optional:["autolinker","data-uri-highlight"]},autolinker:{title:"Autolinker",description:"Converts URLs and emails in code to clickable links. Parses Markdown links in comments."},wpd:{title:"WebPlatform Docs",description:'Makes tokens link to <a href="https://webplatform.github.io/docs/">WebPlatform.org documentation</a>. The links open in a new tab.'},"custom-class":{title:"Custom Class",description:"This plugin allows you to prefix Prism's default classes (<code>.comment</code> can become <code>.namespace--comment</code>) or replace them with your defined ones (like <code>.editor__comment</code>). You can even add new classes.",owner:"dvkndn",noCSS:!0},"file-highlight":{title:"File Highlight",description:"Fetch external files and highlight them with Prism. Used on the Prism website itself.",noCSS:!0},"show-language":{title:"Show Language",description:"Display the highlighted language in code blocks (inline code does not show the label).",owner:"nauzilus",noCSS:!0,require:"toolbar"},"jsonp-highlight":{title:"JSONP Highlight",description:"Fetch content with JSONP and highlight some interesting content (e.g. GitHub/Gists or Bitbucket API).",noCSS:!0,owner:"nauzilus"},"highlight-keywords":{title:"Highlight Keywords",description:"Adds special CSS classes for each keyword matched in the code. For example, the keyword <code>if</code> will have the class <code>keyword-if</code> as well. You can have fine grained control over the appearance of each keyword by providing your own CSS rules.",owner:"vkbansal",noCSS:!0},"remove-initial-line-feed":{title:"Remove initial line feed",description:"Removes the initial line feed in code blocks.",owner:"Golmote",noCSS:!0},"inline-color":{title:"Inline color",description:"Adds a small inline preview for colors in style sheets.",require:"css-extras",owner:"RunDevelopment"},previewers:{title:"Previewers",description:"Previewers for angles, colors, gradients, easing and time.",require:"css-extras",owner:"Golmote"},autoloader:{title:"Autoloader",description:"Automatically loads the needed languages to highlight the code blocks.",owner:"Golmote",noCSS:!0},"keep-markup":{title:"Keep Markup",description:"Prevents custom markup from being dropped out during highlighting.",owner:"Golmote",optional:"normalize-whitespace",noCSS:!0},"command-line":{title:"Command Line",description:"Display a command line with a prompt and, optionally, the output/response from the commands.",owner:"chriswells0"},"unescaped-markup":{title:"Unescaped Markup",description:"Write markup without having to escape anything."},"normalize-whitespace":{title:"Normalize Whitespace",description:"Supports multiple operations to normalize whitespace in code blocks.",owner:"zeitgeist87",optional:"unescaped-markup",noCSS:!0},"data-uri-highlight":{title:"Data-URI Highlight",description:"Highlights data-URI contents.",owner:"Golmote",noCSS:!0},toolbar:{title:"Toolbar",description:"Attach a toolbar for plugins to easily register buttons on the top of a code block.",owner:"mAAdhaTTah"},"copy-to-clipboard":{title:"Copy to Clipboard Button",description:"Add a button that copies the code block to the clipboard when clicked.",owner:"mAAdhaTTah",require:"toolbar",noCSS:!0},"download-button":{title:"Download Button",description:"A button in the toolbar of a code block adding a convenient way to download a code file.",owner:"Golmote",require:"toolbar",noCSS:!0},"match-braces":{title:"Match braces",description:"Highlights matching braces.",owner:"RunDevelopment"},"diff-highlight":{title:"Diff Highlight",description:"Highlights the code inside diff blocks.",owner:"RunDevelopment",require:"diff"},"filter-highlight-all":{title:"Filter highlightAll",description:"Filters the elements the <code>highlightAll</code> and <code>highlightAllUnder</code> methods actually highlight.",owner:"RunDevelopment",noCSS:!0},treeview:{title:"Treeview",description:"A language with special styles to highlight file system tree structures.",owner:"Golmote"}}})},function(e,t,n){"use strict";var r=function(){var e=function(){};function t(e,t){Array.isArray(e)?e.forEach(t):null!=e&&t(e,0)}function n(e){for(var t={},n=0,r=e.length;n<r;n++)t[e[n]]=!0;return t}function r(e){var n={},r=[];function o(r,a){if(!(r in n)){a.push(r);var i=a.indexOf(r);if(i<a.length-1)throw new Error("Circular dependency: "+a.slice(i).join(" -> "));var l={},u=e[r];if(u){function s(t){if(!(t in e))throw new Error(r+" depends on an unknown component "+t);if(!(t in l))for(var i in o(t,a),l[t]=!0,n[t])l[i]=!0}t(u.require,s),t(u.optional,s),t(u.modify,s)}n[r]=l,a.pop()}}return function(e){var t=n[e];return t||(o(e,r),t=n[e]),t}}function o(e){for(var t in e)return!0;return!1}return function(a,i,l){var u=function(e){var t={};for(var n in e){var r=e[n];for(var o in r)if("meta"!=o){var a=r[o];t[o]="string"==typeof a?{title:a}:a}}return t}(a),s=function(e){var n;return function(r){if(r in e)return r;if(!n)for(var o in n={},e){var a=e[o];t(a&&a.alias,(function(t){if(t in n)throw new Error(t+" cannot be alias for both "+o+" and "+n[t]);if(t in e)throw new Error(t+" cannot be alias of "+o+" because it is a component.");n[t]=o}))}return n[r]||r}}(u);i=i.map(s),l=(l||[]).map(s);var c=n(i),d=n(l);i.forEach((function e(n){var r=u[n];t(r&&r.require,(function(t){t in d||(c[t]=!0,e(t))}))}));for(var f,p=r(u),m=c;o(m);){for(var h in f={},m){var g=u[h];t(g&&g.modify,(function(e){e in d&&(f[e]=!0)}))}for(var b in d)if(!(b in c))for(var y in p(b))if(y in c){f[b]=!0;break}for(var v in m=f)c[v]=!0}var w={getIds:function(){var e=[];return w.load((function(t){e.push(t)})),e},load:function(t,n){return function(t,n,r,o){const a=o?o.series:void 0,i=o?o.parallel:e;var l={},u={};function s(e){if(e in l)return l[e];u[e]=!0;var o,c=[];for(var d in t(e))d in n&&c.push(d);if(0===c.length)o=r(e);else{var f=i(c.map((function(e){var t=s(e);return delete u[e],t})));a?o=a(f,(function(){return r(e)})):r(e)}return l[e]=o}for(var c in n)s(c);var d=[];for(var f in u)d.push(l[f]);return i(d)}(p,c,t,n)}};return w}}();e.exports=r},,,,function(e,t,n){"use strict";n.r(t);var r=n(0),o=n.n(r),a=n(26),i=n(10),l=n(20),u=n.n(l),s=({error:e,retry:t,pastDelay:n})=>e?o.a.createElement("div",{style:{align:"center",color:"#fff",backgroundColor:"#fa383e",borderColor:"#fa383e",borderStyle:"solid",borderRadius:"0.25rem",borderWidth:"1px",boxSizing:"border-box",display:"block",padding:"1rem",flex:"0 0 50%",marginLeft:"25%",marginRight:"25%",marginTop:"5rem",maxWidth:"50%",width:"100%"}},o.a.createElement("p",null,e.message),o.a.createElement("div",null,o.a.createElement("button",{type:"button",onClick:t},"Retry"))):n?o.a.createElement("div",{style:{display:"flex",justifyContent:"center",alignItems:"center",height:"100vh"}},o.a.createElement("svg",{id:"loader",style:{width:128,height:110,position:"absolute",top:"calc(100vh - 64%)"},viewBox:"0 0 45 45",xmlns:"http://www.w3.org/2000/svg",stroke:"#61dafb"},o.a.createElement("g",{fill:"none",fillRule:"evenodd",transform:"translate(1 1)",strokeWidth:"2"},o.a.createElement("circle",{cx:"22",cy:"22",r:"6",strokeOpacity:"0"},o.a.createElement("animate",{attributeName:"r",begin:"1.5s",dur:"3s",values:"6;22",calcMode:"linear",repeatCount:"indefinite"}),o.a.createElement("animate",{attributeName:"stroke-opacity",begin:"1.5s",dur:"3s",values:"1;0",calcMode:"linear",repeatCount:"indefinite"}),o.a.createElement("animate",{attributeName:"stroke-width",begin:"1.5s",dur:"3s",values:"2;0",calcMode:"linear",repeatCount:"indefinite"})),o.a.createElement("circle",{cx:"22",cy:"22",r:"6",strokeOpacity:"0"},o.a.createElement("animate",{attributeName:"r",begin:"3s",dur:"3s",values:"6;22",calcMode:"linear",repeatCount:"indefinite"}),o.a.createElement("animate",{attributeName:"stroke-opacity",begin:"3s",dur:"3s",values:"1;0",calcMode:"linear",repeatCount:"indefinite"}),o.a.createElement("animate",{attributeName:"stroke-width",begin:"3s",dur:"3s",values:"2;0",calcMode:"linear",repeatCount:"indefinite"})),o.a.createElement("circle",{cx:"22",cy:"22",r:"8"},o.a.createElement("animate",{attributeName:"r",begin:"0s",dur:"1.5s",values:"6;1;2;3;4;5;6",calcMode:"linear",repeatCount:"indefinite"}))))):null,c=n(13),d={"01a85c17":[function(){return Promise.all([n.e(0),n.e(1),n.e(2),n.e(4)]).then(n.bind(null,73))},"@theme/BlogTagsListPage",73],"042f27db":[function(){return n.e(5).then(n.bind(null,74))},"@site/docs/harmSource.md",74],"0c878f6a":[function(){return Promise.all([n.e(0),n.e(6)]).then(n.bind(null,75))},"@site/docs/indMotor.md",75],"0ce9c370":[function(){return Promise.all([n.e(0),n.e(7)]).then(n.bind(null,76))},"@site/docs/syncGenerator.md",76],"109a3630":[function(){return Promise.all([n.e(0),n.e(8)]).then(n.bind(null,77))},"@site/docs/powerFlow.md",77],"154b882b":[function(){return n.e(9).then(n.bind(null,78))},"@site/docs/rateLimiter.md",78],"16c40e2a":[function(){return Promise.all([n.e(0),n.e(10)]).then(n.bind(null,79))},"@site/docs/line.md",79],17896441:[function(){return Promise.all([n.e(0),n.e(1),n.e(11)]).then(n.bind(null,135))},"@theme/DocItem",135],"1be78505":[function(){return Promise.all([n.e(0),n.e(1),n.e(2),n.e(64)]).then(n.bind(null,136))},"@theme/DocPage",136],"2efa02d5":[function(){return n.e(12).then(n.t.bind(null,84,3))},"C:\\Users\\Pichau\\Documents\\GitHub\\PSP\\docusaurus\\.docusaurus\\docusaurus-plugin-content-blog\\default\\blog-post-list-prop-default.json",84],"2f9e530b":[function(){return n.e(13).then(n.bind(null,85))},"@site/docs/mainScreen.md",85],"38defb3b":[function(){return n.e(14).then(n.bind(null,86))},"@site/docs/multiplier.md",86],"3b8c55ea":[function(){return n.e(15).then(n.bind(null,87))},"@site/docs/installation.md",87],"3c5f9397":[function(){return n.e(16).then(n.bind(null,88))},"@site/docs/const.md",88],"419ecf13":[function(){return Promise.all([n.e(0),n.e(17)]).then(n.bind(null,89))},"@site/docs/load.md",89],"45a07814":[function(){return n.e(18).then(n.bind(null,90))},"@site/docs/powerEditor.md",90],"4674b17c":[function(){return n.e(19).then(n.bind(null,91))},"@site/docs/heatmap.md",91],"484c963e":[function(){return n.e(20).then(n.bind(null,92))},"@site/docs/io.md",92],"5a51001a":[function(){return n.e(21).then(n.bind(null,93))},"@site/docs/gain.md",93],"5e9f5e1a":[function(){return Promise.resolve().then(n.bind(null,11))},"@generated/docusaurus.config",11],"658d5b0f":[function(){return n.e(22).then(n.bind(null,94))},"@site/docs/graphViewer.md",94],"6875c492":[function(){return Promise.all([n.e(0),n.e(1),n.e(2),n.e(3),n.e(23)]).then(n.bind(null,95))},"@theme/BlogTagsPostsPage",95],"6a02ff99":[function(){return n.e(24).then(n.bind(null,97))},"@site/docs/exponential.md",97],"7997999e":[function(){return n.e(25).then(n.bind(null,98))},"@site/blog/2019-11-01-2019w44a-beta.md?truncated=true",98],"7e081317":[function(){return n.e(26).then(n.bind(null,99))},"@site/docs/aboutPSP.md",99],"86b8f0ff":[function(){return n.e(27).then(n.bind(null,100))},"@site/docs/limiter.md",100],"8773f011":[function(){return n.e(28).then(n.bind(null,101))},"@site/docs/transferFunction.md",101],"88afc5eb":[function(){return n.e(29).then(n.bind(null,102))},"@site/docs/cadTools.md",102],"8cfac46c":[function(){return n.e(30).then(n.bind(null,103))},"@site/blog/2019-10-13-2019w42a-beta.md",103],"8ed8a9e1":[function(){return n.e(31).then(n.bind(null,104))},"@site/blog/2020-06-13-2020w24a-beta.md?truncated=true",104],90868595:[function(){return n.e(32).then(n.bind(null,105))},"@site/docs/divider.md",105],"90d4a177":[function(){return n.e(33).then(n.t.bind(null,106,3))},"~blog/default/psp-blog-tags-tags-59c.json",106],"935f2afb":[function(){return n.e(34).then(n.t.bind(null,107,3))},"~docs/default/version-current-metadata-prop-751.json",107],"97f10cc2":[function(){return Promise.all([n.e(0),n.e(35)]).then(n.bind(null,108))},"@site/docs/stability.md",108],"9e083272":[function(){return Promise.all([n.e(0),n.e(36)]).then(n.bind(null,109))},"@site/docs/capacitor.md",109],a6aa9e1f:[function(){return Promise.all([n.e(0),n.e(1),n.e(2),n.e(3),n.e(37)]).then(n.bind(null,137))},"@theme/BlogListPage",137],a943de56:[function(){return n.e(38).then(n.bind(null,110))},"@site/blog/2020-08-01-2020w31a-beta.md",110],ad9b507e:[function(){return Promise.all([n.e(0),n.e(39)]).then(n.bind(null,111))},"@site/docs/inductor.md",111],bb0ce18c:[function(){return Promise.all([n.e(0),n.e(1),n.e(2),n.e(63)]).then(n.bind(null,112))},"C:\\Users\\Pichau\\Documents\\GitHub\\PSP\\docusaurus\\node_modules\\@docusaurus\\theme-search-algolia\\src\\theme\\SearchPage\\index.js",112],c4f5d8e4:[function(){return Promise.all([n.e(0),n.e(1),n.e(2),n.e(40)]).then(n.bind(null,114))},"@site/src/pages/index.js",114],c54a95a3:[function(){return Promise.all([n.e(0),n.e(41)]).then(n.bind(null,116))},"@site/docs/bus.md",116],ccb74ecc:[function(){return Promise.all([n.e(0),n.e(42)]).then(n.bind(null,117))},"@site/docs/harmonics.md",117],ccc49370:[function(){return Promise.all([n.e(0),n.e(1),n.e(2),n.e(3),n.e(43)]).then(n.bind(null,138))},"@theme/BlogPostPage",138],d463bbea:[function(){return n.e(44).then(n.bind(null,118))},"@site/blog/2020-08-01-2020w31a-beta.md?truncated=true",118],d50d565c:[function(){return n.e(45).then(n.bind(null,119))},"@site/blog/2020-07-09-2020w28a-beta.md?truncated=true",119],d537ea54:[function(){return n.e(46).then(n.bind(null,120))},"@site/blog/2019-11-01-2019w44a-beta.md",120],d5f3ae99:[function(){return n.e(47).then(n.bind(null,121))},"@site/docs/controlEditor.md",121],dcc783b1:[function(){return n.e(48).then(n.bind(null,122))},"@site/blog/2019-10-13-2019w42a-beta.md?truncated=true",122],dd251301:[function(){return Promise.all([n.e(0),n.e(49)]).then(n.bind(null,123))},"@site/docs/fault.md",123],e0028f30:[function(){return n.e(50).then(n.t.bind(null,124,3))},"~blog/default/psp-blog-778.json",124],e1ddd01a:[function(){return n.e(51).then(n.t.bind(null,125,3))},"~blog/default/psp-blog-tags-psp-ufu-338.json",125],e240fc47:[function(){return n.e(52).then(n.bind(null,126))},"@site/docs/sum.md",126],eaff9a91:[function(){return n.e(53).then(n.bind(null,127))},"@site/blog/2020-06-13-2020w24a-beta.md",127],eb483476:[function(){return Promise.all([n.e(0),n.e(54)]).then(n.bind(null,128))},"@site/docs/transformer.md",128],f4fe2c8f:[function(){return Promise.all([n.e(0),n.e(55)]).then(n.bind(null,129))},"@site/docs/syncMotor.md",129],f5562597:[function(){return n.e(56).then(n.bind(null,130))},"@site/docs/tabularReport.md",130],f9c3174d:[function(){return Promise.all([n.e(0),n.e(57)]).then(n.bind(null,131))},"@site/docs/simulationConfig.md",131],fada0ee8:[function(){return Promise.all([n.e(0),n.e(58)]).then(n.bind(null,132))},"@site/docs/text.md",132],fae3e67f:[function(){return n.e(59).then(n.bind(null,133))},"@site/docs/mathExpression.md",133],ff0ce105:[function(){return n.e(60).then(n.bind(null,134))},"@site/blog/2020-07-09-2020w28a-beta.md",134]};var f=function(e){const t={};return function e(n,r){Object.keys(n).forEach((o=>{const a=n[o],i=r?r+"."+o:o;"object"===typeof a&&!!a&&Object.keys(a).length?e(a,i):t[i]=a}))}(e),t};var p=function(e,t){if("*"===e)return u()({loading:s,loader:()=>Promise.all([n.e(0),n.e(1),n.e(2),n.e(67)]).then(n.bind(null,170))});const r=c[`${e}-${t}`],a=[],i=[],l={},p=f(r);return Object.keys(p).forEach((e=>{const t=d[p[e]];t&&(l[e]=t[0],a.push(t[1]),i.push(t[2]))})),u.a.Map({loading:s,loader:l,modules:a,webpack:()=>i,render:(e,t)=>{const n=JSON.parse(JSON.stringify(r));Object.keys(e).forEach((t=>{let r=n;const o=t.split(".");for(let e=0;e<o.length-1;e+=1)r=r[o[e]];r[o[o.length-1]]=e[t].default;const a=Object.keys(e[t]).filter((e=>"default"!==e));a&&a.length&&a.forEach((n=>{r[o[o.length-1]][n]=e[t][n]}))}));const a=n.component;return delete n.component,o.a.createElement(a,Object.assign({},n,t))}})},m=[{path:"/PSP/",component:p("/PSP/","5c4"),exact:!0},{path:"/PSP/blog",component:p("/PSP/blog","a70"),exact:!0},{path:"/PSP/blog/2019/10/13/2019w42a-beta",component:p("/PSP/blog/2019/10/13/2019w42a-beta","e7e"),exact:!0},{path:"/PSP/blog/2019/11/01/2019w44a-beta",component:p("/PSP/blog/2019/11/01/2019w44a-beta","b68"),exact:!0},{path:"/PSP/blog/2020/06/13/2020w24a-beta",component:p("/PSP/blog/2020/06/13/2020w24a-beta","f1d"),exact:!0},{path:"/PSP/blog/2020/07/09/2020w28a-beta",component:p("/PSP/blog/2020/07/09/2020w28a-beta","dcb"),exact:!0},{path:"/PSP/blog/2020/08/01/2020w31a-beta",component:p("/PSP/blog/2020/08/01/2020w31a-beta","e7a"),exact:!0},{path:"/PSP/blog/tags",component:p("/PSP/blog/tags","5c1"),exact:!0},{path:"/PSP/blog/tags/psp-ufu",component:p("/PSP/blog/tags/psp-ufu","1fc"),exact:!0},{path:"/PSP/search",component:p("/PSP/search","89b"),exact:!0},{path:"/PSP/docs",component:p("/PSP/docs","323"),routes:[{path:"/PSP/docs/",component:p("/PSP/docs/","7d5"),exact:!0},{path:"/PSP/docs/bus",component:p("/PSP/docs/bus","f3e"),exact:!0},{path:"/PSP/docs/cadTools",component:p("/PSP/docs/cadTools","386"),exact:!0},{path:"/PSP/docs/capacitor",component:p("/PSP/docs/capacitor","417"),exact:!0},{path:"/PSP/docs/const",component:p("/PSP/docs/const","6ff"),exact:!0},{path:"/PSP/docs/controlEditor",component:p("/PSP/docs/controlEditor","7b8"),exact:!0},{path:"/PSP/docs/divider",component:p("/PSP/docs/divider","86e"),exact:!0},{path:"/PSP/docs/exponential",component:p("/PSP/docs/exponential","707"),exact:!0},{path:"/PSP/docs/fault",component:p("/PSP/docs/fault","c23"),exact:!0},{path:"/PSP/docs/gain",component:p("/PSP/docs/gain","87c"),exact:!0},{path:"/PSP/docs/graphViewer",component:p("/PSP/docs/graphViewer","a77"),exact:!0},{path:"/PSP/docs/harmonics",component:p("/PSP/docs/harmonics","282"),exact:!0},{path:"/PSP/docs/harmSource",component:p("/PSP/docs/harmSource","30e"),exact:!0},{path:"/PSP/docs/heatmap",component:p("/PSP/docs/heatmap","ae9"),exact:!0},{path:"/PSP/docs/indMotor",component:p("/PSP/docs/indMotor","427"),exact:!0},{path:"/PSP/docs/inductor",component:p("/PSP/docs/inductor","b41"),exact:!0},{path:"/PSP/docs/installation",component:p("/PSP/docs/installation","5d3"),exact:!0},{path:"/PSP/docs/io",component:p("/PSP/docs/io","955"),exact:!0},{path:"/PSP/docs/limiter",component:p("/PSP/docs/limiter","f6b"),exact:!0},{path:"/PSP/docs/line",component:p("/PSP/docs/line","cd1"),exact:!0},{path:"/PSP/docs/load",component:p("/PSP/docs/load","5b9"),exact:!0},{path:"/PSP/docs/mainScreen",component:p("/PSP/docs/mainScreen","0ed"),exact:!0},{path:"/PSP/docs/mathExpression",component:p("/PSP/docs/mathExpression","1b9"),exact:!0},{path:"/PSP/docs/multiplier",component:p("/PSP/docs/multiplier","b80"),exact:!0},{path:"/PSP/docs/powerEditor",component:p("/PSP/docs/powerEditor","10b"),exact:!0},{path:"/PSP/docs/powerFlow",component:p("/PSP/docs/powerFlow","e94"),exact:!0},{path:"/PSP/docs/rateLimiter",component:p("/PSP/docs/rateLimiter","e7c"),exact:!0},{path:"/PSP/docs/simulationConfig",component:p("/PSP/docs/simulationConfig","a49"),exact:!0},{path:"/PSP/docs/stability",component:p("/PSP/docs/stability","a30"),exact:!0},{path:"/PSP/docs/sum",component:p("/PSP/docs/sum","ff3"),exact:!0},{path:"/PSP/docs/syncGenerator",component:p("/PSP/docs/syncGenerator","c51"),exact:!0},{path:"/PSP/docs/syncMotor",component:p("/PSP/docs/syncMotor","c06"),exact:!0},{path:"/PSP/docs/tabularReport",component:p("/PSP/docs/tabularReport","133"),exact:!0},{path:"/PSP/docs/text",component:p("/PSP/docs/text","c0d"),exact:!0},{path:"/PSP/docs/transferFunction",component:p("/PSP/docs/transferFunction","f19"),exact:!0},{path:"/PSP/docs/transformer",component:p("/PSP/docs/transformer","188"),exact:!0}]},{path:"*",component:p("*")}],h=n(8),g=n(11),b=n(31),y=n(32),v=n(27),w=n(33),S=n(28),k=n(14),E=n(2),P=n(15),T=n.n(P),x=[n(18),n(18),n(18),n(47),n(55),n(51)];function C(e,...t){x.forEach((n=>{var r,o;const a=null!==(o=null===(r=null==n?void 0:n.default)||void 0===r?void 0:r[e])&&void 0!==o?o:n[e];a&&a(...t)}))}var O={onRouteUpdate(...e){C("onRouteUpdate",...e)},onRouteUpdateDelayed(...e){C("onRouteUpdateDelayed",...e)}},_=n(9);function A(e,t){const n=Object(_.a)(e,t);return Promise.all(n.map((e=>{const{component:t}=e.route;if(t&&t.preload)return t.preload()})))}const R={};var N=function(e){if(R[e.pathname])return Object.assign(Object.assign({},e),{pathname:R[e.pathname]});let t=e.pathname||"/";return t=t.trim().replace(/\/index\.html$/,""),""===t&&(t="/"),R[e.pathname]=t,Object.assign(Object.assign({},e),{pathname:t})};n(52);T.a.configure({showSpinner:!1});class L extends o.a.Component{constructor(e){super(e),this.previousLocation=null,this.progressBarTimeout=null,this.state={nextRouteHasLoaded:!0}}shouldComponentUpdate(e,t){const n=e.location!==this.props.location,{routes:r,delay:o=1e3}=this.props;if(n){const t=N(e.location);return this.startProgressBar(o),this.previousLocation=N(this.props.location),this.setState({nextRouteHasLoaded:!1}),A(r,t.pathname).then((()=>{O.onRouteUpdate({previousLocation:this.previousLocation,location:t}),this.previousLocation=null,this.setState({nextRouteHasLoaded:!0},this.stopProgressBar);const{hash:e}=t;if(e){const t=decodeURIComponent(e.substring(1)),n=document.getElementById(t);n&&n.scrollIntoView()}else window.scrollTo(0,0)})).catch((e=>console.warn(e))),!1}return!!t.nextRouteHasLoaded}clearProgressBarTimeout(){this.progressBarTimeout&&(clearTimeout(this.progressBarTimeout),this.progressBarTimeout=null)}startProgressBar(e){this.clearProgressBarTimeout(),this.progressBarTimeout=setTimeout((()=>{O.onRouteUpdateDelayed({location:N(this.props.location)}),T.a.start()}),e)}stopProgressBar(){this.clearProgressBarTimeout(),T.a.done()}render(){const{children:e,location:t}=this.props;return o.a.createElement(E.d,{location:N(t),render:()=>e})}}var I=Object(E.o)(L),D=n(23),j=n(25),F=n(16);n(53);const M="docusaurus-base-url-issue-banner-container",B="docusaurus-base-url-issue-banner-suggestion-container",U="__DOCUSAURUS_INSERT_BASEURL_BANNER";function z(e){return`\nwindow['${U}'] = true;\n\ndocument.addEventListener('DOMContentLoaded', maybeInsertBanner);\n\nfunction maybeInsertBanner() {\n  var shouldInsert = window['${U}'];\n  shouldInsert && insertBanner();\n}\n\nfunction insertBanner() {\n  var bannerContainer = document.getElementById('${M}');\n  if (!bannerContainer) {\n    return;\n  }\n  var bannerHtml = ${JSON.stringify(function(e){return`\n<div id="docusaurus-base-url-issue-banner" style="border: thick solid red; background-color: rgb(255, 230, 179); margin: 20px; padding: 20px; font-size: 20px;">\n   <p style="font-weight: bold; font-size: 30px;">Your Docusaurus site did not load properly.</p>\n   <p>A very common reason is a wrong site <a href="https://v2.docusaurus.io/docs/docusaurus.config.js/#baseurl" style="font-weight: bold;">baseUrl configuration</a>.</p>\n   <p>Current configured baseUrl = <span style="font-weight: bold; color: red;">${e}</span> ${"/"===e?" (default value)":""}</p>\n   <p>We suggest trying baseUrl = <span id="${B}" style="font-weight: bold; color: green;"></span></p>\n</div>\n`}(e)).replace(/</g,"\\<")};\n  bannerContainer.innerHTML = bannerHtml;\n  var suggestionContainer = document.getElementById('${B}');\n  var actualHomePagePath = window.location.pathname;\n  var suggestedBaseUrl = actualHomePagePath.substr(-1) === '/'\n        ? actualHomePagePath\n        : actualHomePagePath + '/';\n  suggestionContainer.innerHTML = suggestedBaseUrl;\n}\n`}function $(){const{siteConfig:{baseUrl:e}}=Object(F.default)();return Object(r.useLayoutEffect)((()=>{window[U]=!1}),[]),o.a.createElement(o.a.Fragment,null,!h.a.canUseDOM&&o.a.createElement(j.a,null,o.a.createElement("script",null,z(e))),o.a.createElement("div",{id:M}))}function G(){const{siteConfig:{baseUrl:e,baseUrlIssueBanner:t}}=Object(F.default)(),{pathname:n}=Object(D.useLocation)();return t&&n===e?o.a.createElement($,null):null}var q=function({children:e}){return o.a.createElement(o.a.Fragment,null,e)};var H=function(){const[e,t]=Object(r.useState)(!1);return Object(r.useEffect)((()=>{t(!0)}),[]),o.a.createElement(k.a.Provider,{value:{siteConfig:g.default,siteMetadata:w,globalData:b,i18n:y,codeTranslations:v,isClient:e}},o.a.createElement(q,null,o.a.createElement(G,null),o.a.createElement(I,{routes:m},Object(S.a)(m))))};const W=function(e){if("undefined"==typeof document)return!1;const t=document.createElement("link");try{if(t.relList&&"function"==typeof t.relList.supports)return t.relList.supports(e)}catch(n){return!1}return!1}("prefetch")?function(e){return new Promise(((t,n)=>{if("undefined"==typeof document)return void n();const r=document.createElement("link");r.setAttribute("rel","prefetch"),r.setAttribute("href",e),r.onload=t,r.onerror=n;(document.getElementsByTagName("head")[0]||document.getElementsByName("script")[0].parentNode).appendChild(r)}))}:function(e){return new Promise(((t,n)=>{const r=new XMLHttpRequest;r.open("GET",e,!0),r.withCredentials=!0,r.onload=()=>{200===r.status?t():n()},r.send(null)}))},V={};var K=function(e){return new Promise((t=>{V[e]?t():W(e).then((()=>{t(),V[e]=!0})).catch((()=>{}))}))};const Y={},Q={},X=()=>!(!("connection"in navigator)||-1===(navigator.connection.effectiveType||"").indexOf("2g")||!navigator.connection.saveData),J=e=>Array.prototype.concat.apply([],e);var Z={prefetch:e=>{if(!(e=>!X()&&!Q[e]&&!Y[e])(e))return!1;Y[e]=!0;const t=Object(_.a)(m,e);return J(t.map((e=>{return t=e.route.path,J(Object.entries(c).filter((([e])=>e.replace(/(-[^-]+)$/,"")===t)).map((([,e])=>Object.values(f(e)))));var t}))).forEach((e=>{const t=n.gca(e);t&&!/undefined/.test(t)&&K(t)})),!0},preload:e=>!!(e=>!X()&&!Q[e])(e)&&(Q[e]=!0,A(m,e),!0)};if(h.a.canUseDOM){window.docusaurus=Z;const e=a.hydrate;A(m,window.location.pathname).then((()=>{e(o.a.createElement(i.a,null,o.a.createElement(H,null)),document.getElementById("__docusaurus"))}))}},function(e,t,n){"use strict";n.r(t);var r=n(24),o=n(8),a=n(11);(e=>{if(o.a.canUseDOM){const{themeConfig:{prism:{additionalLanguages:t=[]}={}}}=a.default;window.Prism=e,t.forEach((e=>{n(19)(`./prism-${e}`)})),delete window.Prism}})(r.a)}],[[38,62,0]]]);
\ No newline at end of file
diff --git a/docs/assets/js/main.d208036b.js.LICENSE.txt b/docs/assets/js/main.d208036b.js.LICENSE.txt
new file mode 100644
index 0000000..4a630d7
--- /dev/null
+++ b/docs/assets/js/main.d208036b.js.LICENSE.txt
@@ -0,0 +1,44 @@
+/*
+object-assign
+(c) Sindre Sorhus
+@license MIT
+*/
+
+/* NProgress, (c) 2013, 2014 Rico Sta. Cruz - http://ricostacruz.com/nprogress
+ * @license MIT */
+
+/** @license React v0.19.1
+ * scheduler.production.min.js
+ *
+ * Copyright (c) Facebook, Inc. and its affiliates.
+ *
+ * This source code is licensed under the MIT license found in the
+ * LICENSE file in the root directory of this source tree.
+ */
+
+/** @license React v16.13.1
+ * react-dom.production.min.js
+ *
+ * Copyright (c) Facebook, Inc. and its affiliates.
+ *
+ * This source code is licensed under the MIT license found in the
+ * LICENSE file in the root directory of this source tree.
+ */
+
+/** @license React v16.13.1
+ * react-is.production.min.js
+ *
+ * Copyright (c) Facebook, Inc. and its affiliates.
+ *
+ * This source code is licensed under the MIT license found in the
+ * LICENSE file in the root directory of this source tree.
+ */
+
+/** @license React v16.13.1
+ * react.production.min.js
+ *
+ * Copyright (c) Facebook, Inc. and its affiliates.
+ *
+ * This source code is licensed under the MIT license found in the
+ * LICENSE file in the root directory of this source tree.
+ */
diff --git a/docs/assets/js/runtime~main.a62ec3c6.js b/docs/assets/js/runtime~main.a62ec3c6.js
new file mode 100644
index 0000000..265f554
--- /dev/null
+++ b/docs/assets/js/runtime~main.a62ec3c6.js
@@ -0,0 +1 @@
+!function(e){function f(f){for(var c,d,n=f[0],o=f[1],b=f[2],u=0,l=[];u<n.length;u++)d=n[u],Object.prototype.hasOwnProperty.call(r,d)&&r[d]&&l.push(r[d][0]),r[d]=0;for(c in o)Object.prototype.hasOwnProperty.call(o,c)&&(e[c]=o[c]);for(i&&i(f);l.length;)l.shift()();return t.push.apply(t,b||[]),a()}function a(){for(var e,f=0;f<t.length;f++){for(var a=t[f],c=!0,d=1;d<a.length;d++){var o=a[d];0!==r[o]&&(c=!1)}c&&(t.splice(f--,1),e=n(n.s=a[0]))}return e}var c={},r={62:0},t=[];function d(e){return n.p+"assets/js/"+({4:"01a85c17",5:"042f27db",6:"0c878f6a",7:"0ce9c370",8:"109a3630",9:"154b882b",10:"16c40e2a",11:"17896441",12:"2efa02d5",13:"2f9e530b",14:"38defb3b",15:"3b8c55ea",16:"3c5f9397",17:"419ecf13",18:"45a07814",19:"4674b17c",20:"484c963e",21:"5a51001a",22:"658d5b0f",23:"6875c492",24:"6a02ff99",25:"7997999e",26:"7e081317",27:"86b8f0ff",28:"8773f011",29:"88afc5eb",30:"8cfac46c",31:"8ed8a9e1",32:"90868595",33:"90d4a177",34:"935f2afb",35:"97f10cc2",36:"9e083272",37:"a6aa9e1f",38:"a943de56",39:"ad9b507e",40:"c4f5d8e4",41:"c54a95a3",42:"ccb74ecc",43:"ccc49370",44:"d463bbea",45:"d50d565c",46:"d537ea54",47:"d5f3ae99",48:"dcc783b1",49:"dd251301",50:"e0028f30",51:"e1ddd01a",52:"e240fc47",53:"eaff9a91",54:"eb483476",55:"f4fe2c8f",56:"f5562597",57:"f9c3174d",58:"fada0ee8",59:"fae3e67f",60:"ff0ce105"}[e]||e)+"."+{1:"c1697df3",2:"6b1d437b",3:"ff40bc29",4:"660738d5",5:"d3dc9b65",6:"908d2f4e",7:"0196af76",8:"56afc9a7",9:"fe4ed47d",10:"4b003cb0",11:"c66c4a53",12:"68e02bc6",13:"cdbf87e3",14:"4fa679c6",15:"b9168b44",16:"69022008",17:"39c3ed27",18:"79cdce67",19:"1fa4892d",20:"1d93ab6c",21:"97b2c745",22:"a7ab6a1f",23:"4cbf3903",24:"76db6101",25:"d5278255",26:"23b51147",27:"840f4c5e",28:"f19d85a5",29:"225f0330",30:"a73e6e5b",31:"4a0217a1",32:"be008a93",33:"847ea7ff",34:"36752bfd",35:"d1840f2b",36:"c00d6658",37:"347c6ed8",38:"d6ef22ad",39:"4c9f04c1",40:"3d50a28b",41:"b800229c",42:"ee2bf141",43:"8f79fb70",44:"41a8a567",45:"e778d388",46:"f6f28e89",47:"afb8a1f5",48:"80895426",49:"bc5765ae",50:"c783e066",51:"4db04e61",52:"9381c330",53:"a35d9712",54:"be43fa6f",55:"657a7a1a",56:"59211f81",57:"3546db4d",58:"b2090879",59:"d94c7e0c",60:"2dcc6cd2",63:"4e2ee22a",64:"d316f18c",65:"4c70e92e",66:"89d8d473",67:"74e35f3d"}[e]+".js"}function n(f){if(c[f])return c[f].exports;var a=c[f]={i:f,l:!1,exports:{}};return e[f].call(a.exports,a,a.exports,n),a.l=!0,a.exports}n.e=function(e){var f=[],a=r[e];if(0!==a)if(a)f.push(a[2]);else{var c=new Promise((function(f,c){a=r[e]=[f,c]}));f.push(a[2]=c);var t,o=document.createElement("script");o.charset="utf-8",o.timeout=120,n.nc&&o.setAttribute("nonce",n.nc),o.src=d(e);var b=new Error;t=function(f){o.onerror=o.onload=null,clearTimeout(u);var a=r[e];if(0!==a){if(a){var c=f&&("load"===f.type?"missing":f.type),t=f&&f.target&&f.target.src;b.message="Loading chunk "+e+" failed.\n("+c+": "+t+")",b.name="ChunkLoadError",b.type=c,b.request=t,a[1](b)}r[e]=void 0}};var u=setTimeout((function(){t({type:"timeout",target:o})}),12e4);o.onerror=o.onload=t,document.head.appendChild(o)}return Promise.all(f)},n.m=e,n.c=c,n.d=function(e,f,a){n.o(e,f)||Object.defineProperty(e,f,{enumerable:!0,get:a})},n.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},n.t=function(e,f){if(1&f&&(e=n(e)),8&f)return e;if(4&f&&"object"==typeof e&&e&&e.__esModule)return e;var a=Object.create(null);if(n.r(a),Object.defineProperty(a,"default",{enumerable:!0,value:e}),2&f&&"string"!=typeof e)for(var c in e)n.d(a,c,function(f){return e[f]}.bind(null,c));return a},n.n=function(e){var f=e&&e.__esModule?function(){return e.default}:function(){return e};return n.d(f,"a",f),f},n.o=function(e,f){return Object.prototype.hasOwnProperty.call(e,f)},n.p="/PSP/",n.gca=function(e){return d(e={17896441:"11",90868595:"32","01a85c17":"4","042f27db":"5","0c878f6a":"6","0ce9c370":"7","109a3630":"8","154b882b":"9","16c40e2a":"10","2efa02d5":"12","2f9e530b":"13","38defb3b":"14","3b8c55ea":"15","3c5f9397":"16","419ecf13":"17","45a07814":"18","4674b17c":"19","484c963e":"20","5a51001a":"21","658d5b0f":"22","6875c492":"23","6a02ff99":"24","7997999e":"25","7e081317":"26","86b8f0ff":"27","8773f011":"28","88afc5eb":"29","8cfac46c":"30","8ed8a9e1":"31","90d4a177":"33","935f2afb":"34","97f10cc2":"35","9e083272":"36",a6aa9e1f:"37",a943de56:"38",ad9b507e:"39",c4f5d8e4:"40",c54a95a3:"41",ccb74ecc:"42",ccc49370:"43",d463bbea:"44",d50d565c:"45",d537ea54:"46",d5f3ae99:"47",dcc783b1:"48",dd251301:"49",e0028f30:"50",e1ddd01a:"51",e240fc47:"52",eaff9a91:"53",eb483476:"54",f4fe2c8f:"55",f5562597:"56",f9c3174d:"57",fada0ee8:"58",fae3e67f:"59",ff0ce105:"60"}[e]||e)},n.oe=function(e){throw console.error(e),e};var o=window.webpackJsonp=window.webpackJsonp||[],b=o.push.bind(o);o.push=f,o=o.slice();for(var u=0;u<o.length;u++)f(o[u]);var i=b;a()}([]);
\ No newline at end of file
diff --git a/docs/assets/js/styles.6bac5f59.js b/docs/assets/js/styles.6bac5f59.js
new file mode 100644
index 0000000..cbc05b4
--- /dev/null
+++ b/docs/assets/js/styles.6bac5f59.js
@@ -0,0 +1 @@
+(window.webpackJsonp=window.webpackJsonp||[]).push([[0],{113:function(e,n,o){e.exports={searchQueryInput:"searchQueryInput_35WP",searchVersionInput:"searchVersionInput_3Dkp",searchResultsColumn:"searchResultsColumn_3okB",searchLogoColumn:"searchLogoColumn_21YU",algoliaLogo:"algoliaLogo_hvIi",algoliaLogoPathFill:"algoliaLogoPathFill_wnAy",searchResultItem:"searchResultItem_3EK0",searchResultItemHeading:"searchResultItemHeading_3ioS",searchResultItemPath:"searchResultItemPath_1-7G",searchResultItemPathSeparator:"searchResultItemPathSeparator_cRL5",searchResultItemSummary:"searchResultItemSummary_17EU",searchQueryColumn:"searchQueryColumn_22lI",searchVersionColumn:"searchVersionColumn_1eqi",loadingSpinner:"loadingSpinner_EGxz",loadingspin:"loadingspin_2lo5",loader:"loader_1VUO"}},115:function(e,n,o){e.exports={heroBanner:"heroBanner_3P7f",buttons:"buttons_1r9m",features:"features_3azU",featureImage:"featureImage_ZtzX"}},139:function(e,n,o){},18:function(e,n,o){},47:function(e,n,o){},51:function(e,n,o){},52:function(e,n,o){},53:function(e,n,o){},56:function(e,n,o){e.exports={tabItem:"tabItem_1uMI",tabItemActive:"tabItemActive_2DSg",blink:"blink_XB8L"}},57:function(e,n,o){e.exports={sidebar:"sidebar_2ahu",sidebarItemTitle:"sidebarItemTitle_2hhb",sidebarItemList:"sidebarItemList_2xAf",sidebarItem:"sidebarItem_2UVv",sidebarItemLink:"sidebarItemLink_1RT6",sidebarItemLinkActive:"sidebarItemLinkActive_12pM"}},58:function(e,n,o){e.exports={tableOfContents:"tableOfContents_35-E",docItemContainer:"docItemContainer_gpai"}},59:function(e,n,o){e.exports={iconEdit:"iconEdit_2_ui"}},60:function(e,n,o){e.exports={codeBlockContainer:"codeBlockContainer_K1bP",codeBlockContent:"codeBlockContent_hGly",codeBlockTitle:"codeBlockTitle_eoMF",codeBlock:"codeBlock_23N8",codeBlockWithTitle:"codeBlockWithTitle_2JqI",copyButton:"copyButton_Ue-o",codeBlockLines:"codeBlockLines_39YC"}},61:function(e,n,o){},62:function(e,n,o){e.exports={enhancedAnchor:"enhancedAnchor_2LWZ"}},63:function(e,n,o){},64:function(e,n,o){e.exports={skipToContent:"skipToContent_1oUP"}},65:function(e,n,o){e.exports={announcementBar:"announcementBar_3WsW",announcementBarClose:"announcementBarClose_38nx",announcementBarContent:"announcementBarContent_3EUC",announcementBarCloseable:"announcementBarCloseable_3myR"}},66:function(e,n,o){e.exports={toggle:"toggle_71bT"}},67:function(e,n,o){e.exports={searchWrapper:"searchWrapper_3rmH"}},68:function(e,n,o){e.exports={themedImage:"themedImage_1VuW","themedImage--light":"themedImage--light_3UqQ","themedImage--dark":"themedImage--dark_hz6m"}},69:function(e,n,o){e.exports={displayOnlyInLargeViewport:"displayOnlyInLargeViewport_GrZ2",navbarHideable:"navbarHideable_2qcr",navbarHidden:"navbarHidden_3yey"}},70:function(e,n,o){e.exports={footerLogoLink:"footerLogoLink_MyFc"}},71:function(e,n,o){},72:function(e,n,o){},80:function(e,n,o){e.exports={lastUpdatedDate:"lastUpdatedDate_1WI_"}},81:function(e,n,o){e.exports={docTitle:"docTitle_3a4h",docItemContainer:"docItemContainer_33ec",docItemCol:"docItemCol_3FnS"}},82:function(e,n,o){e.exports={sidebar:"sidebar_15mo",sidebarWithHideableNavbar:"sidebarWithHideableNavbar_267A",sidebarHidden:"sidebarHidden_2kNb",sidebarLogo:"sidebarLogo_3h0W",menu:"menu_Bmed",menuLinkText:"menuLinkText_2aKo",menuWithAnnouncementBar:"menuWithAnnouncementBar_2WvA",collapseSidebarButton:"collapseSidebarButton_1CGd",collapseSidebarButtonIcon:"collapseSidebarButtonIcon_3E-R",sidebarMenuIcon:"sidebarMenuIcon_fgN0",sidebarMenuCloseIcon:"sidebarMenuCloseIcon_1lpH",menuLinkExternal:"menuLinkExternal_1OhN"}},83:function(e,n,o){e.exports={docPage:"docPage_31aa",docMainContainer:"docMainContainer_3ufF",docMainContainerEnhanced:"docMainContainerEnhanced_3NYZ",docSidebarContainer:"docSidebarContainer_3Kbt",docSidebarContainerHidden:"docSidebarContainerHidden_3pA8",collapsedDocSidebar:"collapsedDocSidebar_2JMH",expandSidebarButtonIcon:"expandSidebarButtonIcon_1naQ",docItemWrapperEnhanced:"docItemWrapperEnhanced_2vyJ",docItemWrapper:"docItemWrapper_3FMP"}},96:function(e,n,o){e.exports={blogPostTitle:"blogPostTitle_GeHD",blogPostDate:"blogPostDate_fNvV"}}}]);
\ No newline at end of file