summaryrefslogtreecommitdiffstats
path: root/docs/d9d4a396.1925e705.js
blob: d3d95c3206a92789b1f9ab159022db601a2f9f86 (plain)
1
(window.webpackJsonp=window.webpackJsonp||[]).push([[49],{148:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return r})),t.d(e,"metadata",(function(){return O})),t.d(e,"rightToc",(function(){return j})),t.d(e,"default",(function(){return l}));var s=t(2),m=t(6),n=(t(0),t(166)),b=t(167),p=t(172),c=t(173),r={id:"syncGenerator",title:"Gerador S\xedncrono",sidebar_label:"Gerador S\xedncrono"},O={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",permalink:"/PSP/docs/syncGenerator",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/syncGenerator.md",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"}},j=[{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:[]}],N={rightToc:j};function l(a){var e=a.components,t=Object(m.a)(a,["components"]);return Object(n.b)("wrapper",Object(s.a)({},N,t,{components:e,mdxType:"MDXLayout"}),Object(n.b)("link",{rel:"stylesheet",href:Object(b.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",Object(s.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",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"p"},{href:"powerFlow"}),"barras de refer\xeancia"),". ",Object(n.b)("a",Object(s.a)({parentName:"p"},{href:"powerFlow"}),"Barras do tipo PV")," devem conter um gerador s\xedncrono ou um ",Object(n.b)("a",Object(s.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",Object(s.a)({parentName:"p"},{href:"powerFlow"}),"fluxo de carga")," e de ",Object(n.b)("a",Object(s.a)({parentName:"p"},{href:"fault"}),"falta")," e um segundo pelos dados de ",Object(n.b)("a",Object(s.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",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.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",Object(s.a)({parentName:"strong"},{href:"fault"}),"curto-circuito")," quanto para os estudos de ",Object(n.b)("a",Object(s.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",Object(s.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",Object(s.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",Object(s.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",Object(s.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",Object(s.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",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"p"},{href:"powerFlow"}),"Barra PV")," conectada em uma ",Object(n.b)("a",Object(s.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(b.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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"msub"},{accent:"true"}),Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",Object(s.a)({parentName:"mover"},{stretchy:"true"}),"\u203e")),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\overline{z}_n")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.78056em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord overline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.63056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.04398em"}}),"z"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.55056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"overline-line",style:{borderBottomWidth:"0.04em"}}))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"n")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"3\\dot{I}_{a0}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.07019em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"3"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord accent"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.9201900000000001em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.25233em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"accent-body",style:{left:"-0.027780000000000013em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"\u02d9"))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.30110799999999993em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"a"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\dot{V}_{a0}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.07019em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord accent"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.9201900000000001em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.22222em"}}),"V"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.25233em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"accent-body",style:{left:"-0.13889em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"\u02d9"))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.30110799999999993em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"a"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"div"},{className:"katex-display"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"msub"},{accent:"true"}),Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"msub"},{accent:"true"}),Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.07019em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord accent"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.9201900000000001em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.22222em"}}),"V"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.25233em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"accent-body",style:{left:"-0.13889em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"\u02d9"))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.30110799999999993em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"a"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.07019em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"3"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord accent"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.9201900000000001em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.25233em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"accent-body",style:{left:"-0.027780000000000013em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"\u02d9"))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.30110799999999993em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"a"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord overline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.63056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.04398em"}}),"z"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.55056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"overline-line",style:{borderBottomWidth:"0.04em"}}))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"n")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.206298em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord accent"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.9201900000000001em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.25233em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"accent-body",style:{left:"-0.027780000000000013em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"\u02d9"))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.30110799999999993em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"a"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord overline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.63056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.04398em"}}),"z"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.55056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"overline-line",style:{borderBottomWidth:"0.04em"}}))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.301108em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"g"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"div"},{className:"katex-display"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"msub"},{accent:"true"}),Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"msub"},{accent:"true"}),Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"msub"},{accent:"true"}),Object(n.b)("mi",{parentName:"mover"},"z"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\overline{z}_{0} = 3\\overline{z}_n + \\overline{z}_{g0}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.78056em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord overline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.63056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.04398em"}}),"z"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.55056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"overline-line",style:{borderBottomWidth:"0.04em"}}))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.30110799999999993em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.79444em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"3"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord overline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.63056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.04398em"}}),"z"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.55056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"overline-line",style:{borderBottomWidth:"0.04em"}}))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"n")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"+"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.916668em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord overline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.63056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.04398em"}}),"z"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.55056em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"overline-line",style:{borderBottomWidth:"0.04em"}}))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.301108em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"g"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),".")),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"j9999~p.u.")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.85396em",verticalAlign:"-0.19444em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05724em"}}),"j"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace nobreak"}),"\xa0"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"p"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"."),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"li"},{href:"inductor"}),"reator")," de baixo valor de pot\xeancia reativa (",Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"1,0~var")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"1"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mpunct"}),","),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"0"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace nobreak"}),"\xa0"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"v"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"a"),Object(n.b)("span",Object(s.a)({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",Object(s.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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032")))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"''")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.751892em",verticalAlign:"0em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",{parentName:"span"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"msup"},{mathvariant:"normal",lspace:"0em",rspace:"0em"}),"\u2032"))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"'")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.751892em",verticalAlign:"0em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",{parentName:"span"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"div"},{className:"katex-display"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"))),Object(n.b)("mi",{parentName:"mrow"},"I"),Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mspace",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"))),Object(n.b)("mi",{parentName:"mrow"},"I"),Object(n.b)("mi",{parentName:"mrow"},"q"),Object(n.b)("mspace",Object(s.a)({parentName:"mrow"},{linebreak:"newline"})),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mspace",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"msubsup"},{mathvariant:"normal",lspace:"0em",rspace:"0em"}),"\u2032")),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"msubsup"},{mathvariant:"normal",lspace:"0em",rspace:"0em"}),"\u2032"))),Object(n.b)("mspace",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"msubsup"},{mathvariant:"normal",lspace:"0em",rspace:"0em"}),"\u2032")),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"msubsup"},{mathvariant:"normal",lspace:"0em",rspace:"0em"}),"\u2032"))),Object(n.b)("mspace",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"))),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032")))),Object(n.b)("mspace",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"))),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032")))),Object(n.b)("mspace",Object(s.a)({parentName:"mrow"},{linebreak:"newline"})),Object(n.b)("mtext",{parentName:"mrow"},"\xa0"),Object(n.b)("mspace",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{fence:"true"}),")")),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{fence:"true"}),"]")),Object(n.b)("mspace",Object(s.a)({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",Object(s.a)({parentName:"msub"},{mathvariant:"normal"}),"\u03a9"),Object(n.b)("mi",{parentName:"msub"},"b")),Object(n.b)("mrow",{parentName:"mrow"},Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{fence:"true"}),")"))),Object(n.b)("annotation",Object(s.a)({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",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.185em",verticalAlign:"-0.383108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.801892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.1130000000000004em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.22222em"}}),"V"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"a")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8018919999999999em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"s")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.113em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.247em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8018919999999999em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.113em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.247em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.22222em"}}),"V"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"a")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.185em",verticalAlign:"-0.383108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.801892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"s")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.1130000000000004em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"q")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.185em",verticalAlign:"-0.383108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.801892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.1130000000000004em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.22222em"}}),"V"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"a")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8018919999999999em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"s")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.113em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.247em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.048892em",verticalAlign:"-0.247em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8018919999999999em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.113em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.247em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.22222em"}}),"V"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"a")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.185em",verticalAlign:"-0.383108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.801892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"s")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.1130000000000004em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"q")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0em",verticalAlign:"0em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace nobreak"}),"\xa0")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.211em",verticalAlign:"-0.686em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.525em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"t"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.773108em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.686em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.512308em",verticalAlign:"-0.9873080000000001em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.525em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.13889em"}}),"T"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.733692em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.398692em",marginLeft:"-0.13889em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.0448em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.30130799999999996em"}}),Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.773108em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.22222em"}}),"V"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.3361079999999999em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.22222em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.10764em"}}),"f"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"+"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"minner"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen delimcenter",style:{top:"0em"}}),"("),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose delimcenter",style:{top:"0em"}}),")")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"s"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.9873080000000001em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.114892em",verticalAlign:"-0.686em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.428892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"t"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.677em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4168920000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.686em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.7115240000000003em",verticalAlign:"-1.088416em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.6231080000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.13889em"}}),"T"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.733692em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4336920000000006em",marginLeft:"-0.13889em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.0448000000000004em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.4024159999999999em"}}),Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.773108em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"minner"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen delimcenter",style:{top:"0em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizing size1"}),"(")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose delimcenter",style:{top:"0em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizing size1"}),")"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"s"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4168920000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.088416em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.211em",verticalAlign:"-0.686em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.525em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"t"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.773108em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.686em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.512308em",verticalAlign:"-0.9873080000000001em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.525em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.13889em"}}),"T"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.733692em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.398692em",marginLeft:"-0.13889em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.0448em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.30130799999999996em"}}),Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.773108em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"s"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"+"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"minner"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen delimcenter",style:{top:"0em"}}),"("),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose delimcenter",style:{top:"0em"}}),")")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"s"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.9873080000000001em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.114892em",verticalAlign:"-0.686em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.428892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"t"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.677em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4168920000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.686em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.7115240000000003em",verticalAlign:"-1.088416em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.6231080000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.13889em"}}),"T"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.733692em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4336920000000006em",marginLeft:"-0.13889em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"0")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.0448000000000004em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.4024159999999999em"}}),Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.773108em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"s"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4168920000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"+"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"minner"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen delimcenter",style:{top:"0em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizing size1"}),"(")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4530000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.383108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose delimcenter",style:{top:"0em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizing size1"}),")"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.07847em"}}),"I"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.07847em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"s"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4168920000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.088416em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0em",verticalAlign:"0em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace nobreak"}),"\xa0")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.05744em",verticalAlign:"-0.686em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.37144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"t"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.677em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"\u03c9")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.686em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.7935599999999998em",verticalAlign:"-0.686em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.1075599999999999em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"2"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.08125em"}}),"H"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.677em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"\u03c9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}}),"r")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.686em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"minner"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen delimcenter",style:{top:"0em"}}),"["),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.13889em"}}),"P"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"m")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.13889em"}}),"P"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.13889em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"e")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.02778em"}}),"D"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.02778em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"a")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"minner"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen delimcenter",style:{top:"0em"}}),"("),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"\u03c9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"\u03c9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}}),"r")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose delimcenter",style:{top:"0em"}}),")")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose delimcenter",style:{top:"0em"}}),"]")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.05744em",verticalAlign:"-0.686em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.37144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"t"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.677em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03785em"}}),"\u03b4")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.686em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"\u03a9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"b")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"minner"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen delimcenter",style:{top:"0em"}}),"("),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"\u03c9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"\u03c9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}}),"r")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({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",Object(s.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",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"msubsup"},{mathvariant:"normal",lspace:"0em",rspace:"0em"}),"\u2032"))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"x_{d}'")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.035em",verticalAlign:"-0.2831079999999999em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\frac{dE_{q}'}{dt}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.1869em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.6550000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"t")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.60742em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8278285714285715em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.931em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.42488571428571426em"}}),Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.345em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({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(b.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",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\frac{dE_{q}'}{dt}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.1869em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.6550000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"t")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.60742em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8278285714285715em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.931em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.42488571428571426em"}}),Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.345em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))))))," e ",Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\frac{dE_{d}'}{dt}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.43468em",verticalAlign:"-0.345em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.08968em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.6550000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"t")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.5102em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8278285714285715em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.931em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286em"}}),Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.345em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({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(b.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",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\frac{dE_{q}'}{dt}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.1869em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.6550000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"t")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.60742em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8278285714285715em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.931em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.42488571428571426em"}}),Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.345em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"}))))))),", ",Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\frac{dE_{q}''}{dt}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.1869em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.6550000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"t")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.60742em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8278285714285715em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.931em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.42488571428571426em"}}),Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.345em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))))))," e ",Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\frac{dE_{d}''}{dt}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.43468em",verticalAlign:"-0.345em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.08968em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.6550000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"t")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.5102em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8278285714285715em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.931em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286em"}}),Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.345em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({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(b.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",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\frac{dE_{q}'}{dt}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.1869em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.6550000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"t")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.60742em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8278285714285715em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.931em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.42488571428571426em"}}),Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.345em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"}))))))),", ",Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\frac{dE_{d}'}{dt}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.43468em",verticalAlign:"-0.345em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.08968em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.6550000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"t")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.5102em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8278285714285715em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.931em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286em"}}),Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.345em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"}))))))),", ",Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\frac{dE_{q}''}{dt}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.5319em",verticalAlign:"-0.345em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.1869em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.6550000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"t")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.60742em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8278285714285715em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.931em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.42488571428571426em"}}),Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.345em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))))))," e ",Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"\u2032"),Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\frac{dE_{d}''}{dt}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.43468em",verticalAlign:"-0.345em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.08968em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.6550000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"t")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.5102em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8278285714285715em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.214em",marginLeft:"-0.05764em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.931em",marginRight:"0.07142857142857144em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.5em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size3 size1 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286em"}}),Object(n.b)("span",{parentName:"span"})))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.345em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({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(b.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-note alert alert--secondary"},Object(n.b)("div",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"}),Object(n.b)("path",Object(s.a)({parentName:"svg"},{fillRule:"evenodd",d:"M6.3 5.69a.942.942 0 0 1-.28-.7c0-.28.09-.52.28-.7.19-.18.42-.28.7-.28.28 0 .52.09.7.28.18.19.28.42.28.7 0 .28-.09.52-.28.7a1 1 0 0 1-.7.3c-.28 0-.52-.11-.7-.3zM8 7.99c-.02-.25-.11-.48-.31-.69-.2-.19-.42-.3-.69-.31H6c-.27.02-.48.13-.69.31-.2.2-.3.44-.31.69h1v3c.02.27.11.5.31.69.2.2.42.31.69.31h1c.27 0 .48-.11.69-.31.2-.19.3-.42.31-.69H8V7.98v.01zM7 2.3c-3.14 0-5.7 2.54-5.7 5.68 0 3.14 2.56 5.7 5.7 5.7s5.7-2.55 5.7-5.7c0-3.15-2.56-5.69-5.7-5.69v.01zM7 .98c3.86 0 7 3.14 7 7s-3.14 7-7 7-7-3.12-7-7 3.14-7 7-7z"})))),"Nota")),Object(n.b)("div",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"x_p")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.716668em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"p")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"x_l")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.01968em"}}),"l")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"x_p")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.716668em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"p")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"E_p")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.969438em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.05764em"}}),"E"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.05764em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"p")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"s_d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"s"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))))))),") e outro no eixo em quadratura (",Object(n.b)("span",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"s_q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.716668em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"s"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({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",Object(s.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",Object(s.a)({parentName:"div"},{className:"katex-display"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"s"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.232438em",verticalAlign:"-0.972108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.26033em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"s"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"+"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"p")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.677em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"p")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.972108em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace newline"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.716668em",verticalAlign:"-0.286108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"s"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.232438em",verticalAlign:"-0.972108em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.26033em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"s"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"+"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"p")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.677em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.03588em"}}),"q")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15139200000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"p")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.286108em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.972108em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"9999~s")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.64444em",verticalAlign:"0em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace nobreak"}),"\xa0"),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"msubsup"},{mathvariant:"normal",lspace:"0em",rspace:"0em"}),"\u2032"))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"x_{d}'")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.035em",verticalAlign:"-0.2831079999999999em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"x"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.751892em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.4168920000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2032"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.2831079999999999em"}}),Object(n.b)("span",{parentName:"span"}))))))))))," deve ser um valor muito pequeno (",Object(n.b)("span",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),".")),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"10^{-3}~p.u.")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.008548em",verticalAlign:"-0.19444em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"1"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"0"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.8141079999999999em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.063em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"3"))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace nobreak"}),"\xa0"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"p"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"."),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),".")),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\omega_r = \\omega_b = 1,0~p.u.")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"\u03c9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}}),"r")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"\u03c9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"b")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.8388800000000001em",verticalAlign:"-0.19444em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"1"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mpunct"}),","),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"0"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace nobreak"}),"\xa0"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"p"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"."),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"div"},{className:"katex-display"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{fence:"true"}),")")),Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("mo",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{fence:"true"}),")")))),Object(n.b)("annotation",Object(s.a)({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",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"\u03c9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}}),"r")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"2.488004em",verticalAlign:"-0.994002em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.494002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.305708em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"minner"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen delimcenter",style:{top:"0em"}}),"("),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mop"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mop op-symbol small-op",style:{position:"relative",top:"-0.0000050000000000050004em"}}),"\u2211"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.804292em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.40029em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"i"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel mtight"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"1")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.2029em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"n"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.29971000000000003em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.08125em"}}),"H"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.31166399999999994em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.08125em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"i")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose delimcenter",style:{top:"0em"}}),")")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.6897100000000003em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"minner"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen delimcenter",style:{top:"0em"}}),"("),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mop"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mop op-symbol small-op",style:{position:"relative",top:"-0.0000050000000000050004em"}}),"\u2211"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.804292em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.40029em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"i"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel mtight"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"1")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.2029em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"n"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.29971000000000003em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.16666666666666666em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.08125em"}}),"H"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.31166399999999994em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.08125em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"i")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"\u03c9"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.31166399999999994em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"i")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose delimcenter",style:{top:"0em"}}),")"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.994002em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))))))),Object(n.b)("p",null,"Em que:\n",Object(n.b)("span",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"n")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}})),Object(n.b)("span",Object(s.a)({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",Object(s.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(b.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",Object(s.a)({parentName:"p"},{href:"controlEditor"}),"editor de controle"),"."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(b.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",Object(s.a)({parentName:"p"},{href:"stability"}),"estabilidade"),"."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(b.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)(p.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)(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",Object(s.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",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"p"},{href:"simulationConfig"}),"pot\xeancia base do sistema"),".")),Object(n.b)(c.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)(c.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",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\delta")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.69444em",verticalAlign:"0em"}})),Object(n.b)("span",Object(s.a)({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",Object(s.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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),".")),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"p.u.")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"p"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"."),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),".")),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"p.u.")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"p"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"."),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),".")),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"p.u.")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"p"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"."),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({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",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),".")),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"p.u.")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"p"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"."),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),".")))))," ou segundos."),Object(n.b)("div",{className:"admonition admonition-warning alert alert--danger"},Object(n.b)("div",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"12",height:"16",viewBox:"0 0 12 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({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",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),"."),Object(n.b)("mi",{parentName:"mrow"},"u"),Object(n.b)("mi",Object(s.a)({parentName:"mrow"},{mathvariant:"normal"}),".")),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"p.u.")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.625em",verticalAlign:"-0.19444em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"p"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"."),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({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)(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",Object(s.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",Object(s.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",Object(s.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",Object(s.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",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"16",height:"16",viewBox:"0 0 16 16"}),Object(n.b)("path",Object(s.a)({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",Object(s.a)({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",Object(s.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",Object(s.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",Object(s.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",Object(s.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.")))}l.isMDXComponent=!0},165:function(a,e,t){"use strict";var s=t(0),m=t(35);e.a=function(){return Object(s.useContext)(m.a)}},166:function(a,e,t){"use strict";t.d(e,"a",(function(){return j})),t.d(e,"b",(function(){return i}));var s=t(0),m=t.n(s);function n(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function b(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 p(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?b(Object(t),!0).forEach((function(e){n(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):b(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,m=function(a,e){if(null==a)return{};var t,s,m={},n=Object.keys(a);for(s=0;s<n.length;s++)t=n[s],e.indexOf(t)>=0||(m[t]=a[t]);return m}(a,e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);for(s=0;s<n.length;s++)t=n[s],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(m[t]=a[t])}return m}var r=m.a.createContext({}),O=function(a){var e=m.a.useContext(r),t=e;return a&&(t="function"==typeof a?a(e):p(p({},e),a)),t},j=function(a){var e=O(a.components);return m.a.createElement(r.Provider,{value:e},a.children)},N={inlineCode:"code",wrapper:function(a){var e=a.children;return m.a.createElement(m.a.Fragment,{},e)}},l=m.a.forwardRef((function(a,e){var t=a.components,s=a.mdxType,n=a.originalType,b=a.parentName,r=c(a,["components","mdxType","originalType","parentName"]),j=O(t),l=s,i=j["".concat(b,".").concat(l)]||j[l]||N[l]||n;return t?m.a.createElement(i,p(p({ref:e},r),{},{components:t})):m.a.createElement(i,p({ref:e},r))}));function i(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var n=t.length,b=new Array(n);b[0]=l;var p={};for(var c in e)hasOwnProperty.call(e,c)&&(p[c]=e[c]);p.originalType=a,p.mdxType="string"==typeof a?a:s,b[1]=p;for(var r=2;r<n;r++)b[r]=t[r];return m.a.createElement.apply(null,b)}return m.a.createElement.apply(null,t)}l.displayName="MDXCreateElement"},167:function(a,e,t){"use strict";t.d(e,"a",(function(){return n}));var s=t(165),m=t(168);function n(a,{forcePrependBaseUrl:e=!1,absolute:t=!1}={}){const{siteConfig:{baseUrl:n="/",url:b}={}}=Object(s.a)();if(!a)return a;if(e)return n+a;if(!Object(m.a)(a))return a;const p=n+a.replace(/^\//,"");return t?b+p:p}},168:function(a,e,t){"use strict";function s(a){return!1===/^(https?:|\/\/|mailto:|tel:)/.test(a)}t.d(e,"a",(function(){return s}))},169:function(a,e,t){"use strict";function s(a){var e,t,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]&&(t=s(a[e]))&&(m&&(m+=" "),m+=t);else for(e in a)a[e]&&(m&&(m+=" "),m+=e);return m}e.a=function(){for(var a,e,t=0,m="";t<arguments.length;)(a=arguments[t++])&&(e=s(a))&&(m&&(m+=" "),m+=e);return m}},170:function(a,e,t){"use strict";var s=t(0);const m=Object(s.createContext)({tabGroupChoices:{},setTabGroupChoices:()=>{},isAnnouncementBarClosed:!1,closeAnnouncementBar:()=>{}});e.a=m},171:function(a,e,t){"use strict";var s=t(0),m=t(170);e.a=function(){return Object(s.useContext)(m.a)}},172:function(a,e,t){"use strict";var s=t(0),m=t.n(s),n=t(171),b=t(169),p=t(92),c=t.n(p);const r=37,O=39;e.a=function(a){const{block:e,children:t,defaultValue:p,values:j,groupId:N}=a,{tabGroupChoices:l,setTabGroupChoices:i}=Object(n.a)(),[o,h]=Object(s.useState)(p);if(null!=N){const a=l[N];null!=a&&a!==o&&j.some(e=>e.value===a)&&h(a)}const d=a=>{h(a),null!=N&&i(N,a)},g=[];return m.a.createElement("div",null,m.a.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:Object(b.a)("tabs",{"tabs--block":e})},j.map(({value:a,label:e})=>m.a.createElement("li",{role:"tab",tabIndex:"0","aria-selected":o===a,className:Object(b.a)("tabs__item",c.a.tabItem,{"tabs__item--active":o===a}),key:a,ref:a=>g.push(a),onKeyDown:a=>((a,e,t)=>{switch(t.keyCode){case O:((a,e)=>{const t=a.indexOf(e)+1;a[t]?a[t].focus():a[0].focus()})(a,e);break;case r:((a,e)=>{const t=a.indexOf(e)-1;a[t]?a[t].focus():a[a.length-1].focus()})(a,e)}})(g,a.target,a),onFocus:()=>d(a),onClick:()=>d(a)},e))),m.a.createElement("div",{role:"tabpanel",className:"margin-vert--md"},s.Children.toArray(t).filter(a=>a.props.value===o)[0]))}},173:function(a,e,t){"use strict";var s=t(0),m=t.n(s);e.a=function(a){return m.a.createElement("div",null,a.children)}}}]);