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#include "PowerFlow.h"
PowerFlow::PowerFlow(std::vector<Element*> elementList) : ElectricCalculation() { GetElementsFromList(elementList); }
PowerFlow::~PowerFlow() {}
bool PowerFlow::RunGaussSeidel(double systemPowerBase,
int maxIteration,
double error,
double initAngle,
double accFactor)
{
// Calculate the Ybus.
if(!GetYBus(m_yBus, systemPowerBase)) {
m_errorMsg = _("No buses found on the system.");
return false;
}
// Number of buses on the system.
int numberOfBuses = (int)m_busList.size();
std::vector<BusType> busType; // Bus type
std::vector<std::complex<double> > voltage; // Voltage of buses
std::vector<std::complex<double> > power; // Injected power
std::vector<std::complex<double> > loadPower; // Only the load power
std::vector<ReactiveLimits> reactiveLimit; // Limit of reactive power on PV buses
reactiveLimit.resize(numberOfBuses);
int busNumber = 0;
for(auto itb = m_busList.begin(); itb != m_busList.end(); itb++) {
Bus* bus = *itb;
BusElectricalData data = bus->GetEletricalData();
// Fill the bus type
if(data.slackBus) busType.push_back(BUS_SLACK);
// If the bus have controlled voltage, check if at least one synchronous machine is connected, then set the
// bus type.
else if(data.isVoltageControlled) {
bool hasSyncMachine = false;
// Synchronous generator
for(auto itsg = m_syncGeneratorList.begin(); itsg != m_syncGeneratorList.end(); itsg++) {
SyncGenerator* syncGenerator = *itsg;
if(bus == syncGenerator->GetParentList()[0] && syncGenerator->IsOnline()) hasSyncMachine = true;
}
// Synchronous motor
for(auto itsm = m_syncMotorList.begin(); itsm != m_syncMotorList.end(); itsm++) {
SyncMotor* syncMotor = *itsm;
if(bus == syncMotor->GetParentList()[0] && syncMotor->IsOnline()) hasSyncMachine = true;
}
if(hasSyncMachine)
busType.push_back(BUS_PV);
else
busType.push_back(BUS_PQ);
} else
busType.push_back(BUS_PQ);
// Fill the voltages array
if(data.isVoltageControlled && busType[busNumber] != BUS_PQ) {
voltage.push_back(std::complex<double>(data.controlledVoltage, 0.0));
} else {
voltage.push_back(std::complex<double>(1.0, 0.0));
}
// Fill the power array
power.push_back(std::complex<double>(0.0, 0.0)); // Initial value
loadPower.push_back(std::complex<double>(0.0, 0.0));
// Synchronous generator
for(auto itsg = m_syncGeneratorList.begin(); itsg != m_syncGeneratorList.end(); itsg++) {
SyncGenerator* syncGenerator = *itsg;
if(syncGenerator->IsOnline()) {
if(bus == syncGenerator->GetParentList()[0]) {
SyncGeneratorElectricalData childData = syncGenerator->GetPUElectricalData(systemPowerBase);
power[busNumber] += std::complex<double>(childData.activePower, childData.reactivePower);
if(busType[busNumber] == BUS_PV) {
if(childData.haveMaxReactive && reactiveLimit[busNumber].maxLimitType != RL_UNLIMITED_SOURCE) {
reactiveLimit[busNumber].maxLimitType = RL_LIMITED;
reactiveLimit[busNumber].maxLimit += childData.maxReactive;
} else if(!childData.haveMaxReactive)
reactiveLimit[busNumber].maxLimitType = RL_UNLIMITED_SOURCE;
if(childData.haveMinReactive && reactiveLimit[busNumber].minLimitType != RL_UNLIMITED_SOURCE) {
reactiveLimit[busNumber].minLimitType = RL_LIMITED;
reactiveLimit[busNumber].minLimit += childData.minReactive;
} else if(!childData.haveMinReactive)
reactiveLimit[busNumber].minLimitType = RL_UNLIMITED_SOURCE;
}
}
}
}
// Synchronous motor
for(auto itsm = m_syncMotorList.begin(); itsm != m_syncMotorList.end(); itsm++) {
SyncMotor* syncMotor = *itsm;
if(syncMotor->IsOnline()) {
if(bus == syncMotor->GetParentList()[0]) {
SyncMotorElectricalData childData = syncMotor->GetPUElectricalData(systemPowerBase);
power[busNumber] += std::complex<double>(-childData.activePower, childData.reactivePower);
loadPower[busNumber] += std::complex<double>(-childData.activePower, 0.0);
if(busType[busNumber] == BUS_PV) {
if(childData.haveMaxReactive && reactiveLimit[busNumber].maxLimitType != RL_UNLIMITED_SOURCE) {
reactiveLimit[busNumber].maxLimitType = RL_LIMITED;
reactiveLimit[busNumber].maxLimit += childData.maxReactive;
} else if(!childData.haveMaxReactive)
reactiveLimit[busNumber].maxLimitType = RL_UNLIMITED_SOURCE;
if(childData.haveMinReactive && reactiveLimit[busNumber].minLimitType != RL_UNLIMITED_SOURCE) {
reactiveLimit[busNumber].minLimitType = RL_LIMITED;
reactiveLimit[busNumber].minLimit += childData.minReactive;
} else if(!childData.haveMinReactive)
reactiveLimit[busNumber].minLimitType = RL_UNLIMITED_SOURCE;
}
}
}
}
// Load
for(auto itl = m_loadList.begin(); itl != m_loadList.end(); itl++) {
Load* load = *itl;
if(load->IsOnline()) {
if(bus == load->GetParentList()[0]) {
LoadElectricalData childData = load->GetPUElectricalData(systemPowerBase);
if(childData.loadType == CONST_POWER) {
power[busNumber] += std::complex<double>(-childData.activePower, -childData.reactivePower);
loadPower[busNumber] += std::complex<double>(-childData.activePower, -childData.reactivePower);
}
}
}
}
// Induction motor
for(auto itim = m_indMotorList.begin(); itim != m_indMotorList.end(); itim++) {
IndMotor* indMotor = *itim;
if(indMotor->IsOnline()) {
if(bus == indMotor->GetParentList()[0]) {
IndMotorElectricalData childData = indMotor->GetPUElectricalData(systemPowerBase);
power[busNumber] += std::complex<double>(-childData.activePower, -childData.reactivePower);
loadPower[busNumber] += std::complex<double>(-childData.activePower, -childData.reactivePower);
}
}
}
busNumber++;
}
// Check if have slack bus and if have generation on the slack bus
bool haveSlackBus = false;
bool slackBusHaveGeneration = false;
for(int i = 0; i < (int)busType.size(); i++) {
if(busType[i] == BUS_SLACK) {
auto itb = m_busList.begin();
std::advance(itb, i);
Bus* bus = *itb;
for(auto itsg = m_syncGeneratorList.begin(); itsg != m_syncGeneratorList.end(); itsg++) {
SyncGenerator* syncGenerator = *itsg;
if(syncGenerator->IsOnline() && bus == syncGenerator->GetParentList()[0]) slackBusHaveGeneration = true;
}
haveSlackBus = true;
}
}
if(!haveSlackBus) {
m_errorMsg = _("There is no slack bus on the system.");
return false;
}
if(!slackBusHaveGeneration) {
m_errorMsg = _("The slack bus don't have generation.");
return false;
}
// Gauss-Seidel method
std::vector<std::complex<double> > oldVoltage; // Old voltage array.
oldVoltage.resize(voltage.size());
auto oldBusType = busType;
int iteration = 0; // Current itaration number.
while(true) {
// Reach the max number of iterations.
if(iteration >= maxIteration) {
m_errorMsg = _("The maximum number of iterations was reached.");
return false;
}
// Update the old voltage array to current iteration values.
for(int i = 0; i < numberOfBuses; i++) oldVoltage[i] = voltage[i];
double iterationError = 0.0;
for(int i = 0; i < numberOfBuses; i++) {
if(busType[i] == BUS_PQ) {
std::complex<double> yeSum(0.0, 0.0);
for(int k = 0; k < numberOfBuses; k++) {
if(i != k) {
// Sum { Y[i,k] * E[k] } | k = 1->n; k diff i
yeSum += m_yBus[i][k] * voltage[k];
}
}
// E[i] = (1/Y[i,i])*((P[i]-jQ[i])/E*[i] - Sum { Y[i,k] * E[k] (k diff i) })
std::complex<double> newVolt =
(1.0 / m_yBus[i][i]) * (std::conj(power[i]) / std::conj(voltage[i]) - yeSum);
// Apply the acceleration factor.
newVolt = std::complex<double>(accFactor * (newVolt.real() - voltage[i].real()) + voltage[i].real(),
accFactor * (newVolt.imag() - voltage[i].imag()) + voltage[i].imag());
voltage[i] = newVolt;
}
if(busType[i] == BUS_PV) {
std::complex<double> yeSum(0.0, 0.0);
for(int k = 0; k < numberOfBuses; k++) {
if(i != k) {
// Sum { Y[i,k] * E[k] } | k = 1->n; k diff i
yeSum += m_yBus[i][k] * voltage[k];
}
}
std::complex<double> yeSumT = yeSum + (m_yBus[i][i] * voltage[i]);
// Q[i] = - Im( E*[i] * Sum { Y[i,k] * E[k] } )
std::complex<double> qCalc = std::conj(voltage[i]) * yeSumT;
power[i] = std::complex<double>(power[i].real(), -qCalc.imag());
// E[i] = (1/Y[i,i])*((P[i]-jQ[i])/E*[i] - Sum { Y[i,k] * E[k] (k diff i) })
std::complex<double> newVolt =
(1.0 / m_yBus[i][i]) * (std::conj(power[i]) / std::conj(voltage[i]) - yeSum);
// Apply the acceleration factor.
newVolt = std::complex<double>(accFactor * (newVolt.real() - voltage[i].real()) + voltage[i].real(),
accFactor * (newVolt.imag() - voltage[i].imag()) + voltage[i].imag());
// Keep the same voltage magnitude.
voltage[i] = std::complex<double>(std::abs(voltage[i]) * std::cos(std::arg(newVolt)),
std::abs(voltage[i]) * std::sin(std::arg(newVolt)));
}
double busError = std::max(std::abs(voltage[i].real() - oldVoltage[i].real()),
std::abs(voltage[i].imag() - oldVoltage[i].imag()));
if(busError > iterationError) iterationError = busError;
}
if(iterationError < error) {
bool limitReach = false;
for(int i = 0; i < numberOfBuses; i++) {
if(busType[i] == BUS_PV) {
if(reactiveLimit[i].maxLimitType == RL_LIMITED) {
if(power[i].imag() - loadPower[i].imag() > reactiveLimit[i].maxLimit) {
power[i] = std::complex<double>(power[i].real(), reactiveLimit[i].maxLimit + loadPower[i].imag());
busType[i] = BUS_PQ;
reactiveLimit[i].limitReached = RL_MAX_REACHED;
limitReach = true;
}
}
if(reactiveLimit[i].minLimitType == RL_LIMITED) {
if(power[i].imag() - loadPower[i].imag() < reactiveLimit[i].minLimit) {
power[i] = std::complex<double>(power[i].real(), reactiveLimit[i].minLimit + loadPower[i].imag());
busType[i] = BUS_PQ;
reactiveLimit[i].limitReached = RL_MIN_REACHED;
limitReach = true;
}
}
}
}
if(!limitReach) break;
}
iteration++;
}
// Adjust the power array.
// TODO: Only the slack bus??
for(int i = 0; i < numberOfBuses; i++) {
std::complex<double> sBus = std::complex<double>(0.0, 0.0);
for(int j = 0; j < numberOfBuses; j++) sBus += voltage[i] * std::conj(voltage[j]) * std::conj(m_yBus[i][j]);
power[i] = sBus;
}
UpdateElementsPowerFlow(voltage, power, oldBusType, reactiveLimit, systemPowerBase);
wxString str = "";
for(auto itb = m_busList.begin(); itb != m_busList.end(); itb++) {
Bus* bus = *itb;
BusElectricalData data = bus->GetEletricalData();
str += wxString::Format("%.5f/_%.2f\n", std::abs(data.voltage), wxRadToDeg(std::arg(data.voltage)));
}
wxLogMessage(str);
return true;
}
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