573 lines
21 KiB
Matlab
573 lines
21 KiB
Matlab
function [JMeasurement,AME_Volt,AME_VAngle,AME_PD,AME_QD,AME_mVolt,AME_mPD,AME_mQD,isConverged,totalTime1,totalTime2,totalTime0,eV2,eV0,eI2,eI0,interation1,interation2,interation0]=run()
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%% 利用先把负荷转换为电流的方法。这个方法要求知道电压量。
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%
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close all
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clc
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clear
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lineZ=readLineZ('feeder104\lineParameter.txt');
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[ fsY0, fsY1, fsY2,phaseASpotLoadP,phaseBSpotLoadP,phaseCSpotLoadP ...
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phaseASpotLoadQ,phaseBSpotLoadQ,phaseCSpotLoadQ,setIJ,nodeNum,Balance,phaseABCY ...
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cap]=dataRead(lineZ,'feeder104\data1.txt');
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%负荷不平衡
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% for I=1:length(phaseASpotLoadP)
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% roll=mod(round(rand()*10),3);
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% if roll==0
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% phaseBSpotLoadP(I)=phaseBSpotLoadP(I)+phaseASpotLoadP(I)*.45;
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% phaseCSpotLoadP(I)=phaseCSpotLoadP(I)+phaseASpotLoadP(I)*.45;
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% phaseASpotLoadP(I)=phaseASpotLoadP(I)*.10;
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%
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% phaseBSpotLoadQ(I)=phaseBSpotLoadQ(I)+phaseASpotLoadQ(I)*.45;
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% phaseCSpotLoadQ(I)=phaseCSpotLoadQ(I)+phaseASpotLoadQ(I)*.45;
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% phaseASpotLoadQ(I)=phaseASpotLoadQ(I)*.10;
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% end
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% if roll==1
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% phaseASpotLoadP(I)=phaseASpotLoadP(I)+phaseBSpotLoadP(I)*.45;
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% phaseCSpotLoadP(I)=phaseCSpotLoadP(I)+phaseBSpotLoadP(I)*.45;
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% phaseBSpotLoadP(I)=phaseBSpotLoadP(I)*.10;
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%
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% phaseASpotLoadQ(I)=phaseASpotLoadQ(I)+phaseBSpotLoadQ(I)*.45;
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% phaseCSpotLoadQ(I)=phaseCSpotLoadQ(I)+phaseBSpotLoadQ(I)*.45;
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% phaseBSpotLoadQ(I)=phaseBSpotLoadQ(I)*.10;
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% end
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% if roll==2
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% phaseASpotLoadP(I)=phaseASpotLoadP(I)+phaseCSpotLoadP(I)*.45;
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% phaseBSpotLoadP(I)=phaseBSpotLoadP(I)+phaseCSpotLoadP(I)*.45;
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% phaseCSpotLoadP(I)=phaseCSpotLoadP(I)*.10;
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%
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% phaseASpotLoadQ(I)=phaseASpotLoadQ(I)+phaseCSpotLoadQ(I)*.45;
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% phaseBSpotLoadQ(I)=phaseBSpotLoadQ(I)+phaseCSpotLoadQ(I)*.45;
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% phaseCSpotLoadQ(I)=phaseCSpotLoadQ(I)*.10;
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% end
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% end
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%% 有几相负荷为0
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a=exp(1j*2*pi/3);
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Tp2f=1/3*[1 1 1;
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1 a a^2;
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1 a^2 a];
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Tp2f=sparse(Tp2f);
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Tf2p=inv(Tp2f);
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fsY1amp=abs(fsY1);
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[r,c,fsY1ang]=find(fsY1);
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fsY1ang=angle(fsY1ang);
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Pabc=phaseASpotLoadP+phaseBSpotLoadP+phaseCSpotLoadP;
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Qabc=phaseASpotLoadQ+phaseBSpotLoadQ+phaseCSpotLoadQ;
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busNum=length(phaseASpotLoadP);
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%给序电压赋初值
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Vmf1=sparse(ones(busNum,1));
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Vaf1=sparse(zeros(busNum,1));
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%先求解正序的
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PQi=nodeNum;
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PG=sparse(busNum,1);
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QG=sparse(busNum,1);
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QGi=[Balance];
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PD=Pabc/3;
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QD=Qabc/3;
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Loadi=find(PD~=0);
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maxD=100000;% 最大不平衡量
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EPS=1e-6;
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k=0;
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kmax=20;
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fsY11=fsY1;
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fsY00=fsY0;
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fsY22=fsY2;
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Vf2=sparse(busNum,1);
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If2=sparse(busNum,1);
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Vf0=sparse(busNum,1);
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If0=sparse(busNum,1);
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%准备序矩阵
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%平衡节点置0置1
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fsY2(Balance,:)=0;
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fsY2(:,Balance)=0;
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fsY2=fsY2+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum);
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%平衡节点置0置1
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fsY0(Balance,:)=0;
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fsY0(:,Balance)=0;
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fsY0=fsY0+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum);
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%%LU分解
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[fsY0L,fsY0U,fsY0P,fsY0Q,fsY0R]=lu(fsY0);
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[fsY2L,fsY2U,fsY2P,fsY2Q,fsY2R]=lu(fsY2);
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%算初始补偿功率
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tic
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VoltpA=sparse(ones(busNum,1));
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VoltpB=sparse(ones(busNum,1)).*exp(1j*-120/180*pi);
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VoltpC=sparse(ones(busNum,1)).*exp(1j*+120/180*pi);
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xs=1;
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phaseASpotLoadP=phaseASpotLoadP*xs;
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phaseBSpotLoadP=phaseBSpotLoadP*xs;
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phaseCSpotLoadP=phaseCSpotLoadP*xs;
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phaseASpotLoadQ=phaseASpotLoadQ*xs;
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phaseBSpotLoadQ=phaseBSpotLoadQ*xs;
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phaseCSpotLoadQ=phaseCSpotLoadQ*xs;
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while(k<=kmax && maxD> EPS)
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k=k+1;
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%把补偿电容看作负荷
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SA=VoltpA.*conj(VoltpA.*sparse(cap.capNode,1,1j*cap.capB(:,1),busNum,1));
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SB=VoltpB.*conj(VoltpA.*sparse(cap.capNode,1,1j*cap.capB(:,2),busNum,1));
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SC=VoltpC.*conj(VoltpA.*sparse(cap.capNode,1,1j*cap.capB(:,3),busNum,1));
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%先不要电容
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SA=0;
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SB=0;
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SC=0;
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iterPD=PD+real(SA+SB+SC)/3;
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iterQD=QD+imag(SA+SB+SC)/3;
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iterPhaseASpotLoadP=phaseASpotLoadP+real(SA);
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iterPhaseBSpotLoadP=phaseBSpotLoadP+real(SB);
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iterPhaseCSpotLoadP=phaseCSpotLoadP+real(SC);
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iterPhaseASpotLoadQ=phaseASpotLoadQ+imag(SA);
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iterPhaseBSpotLoadQ=phaseBSpotLoadQ+imag(SB);
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iterPhaseCSpotLoadQ=phaseCSpotLoadQ+imag(SC);
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%%做最小二乘法
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[dP, dQ, YdotSinVolt, YdotCosVolt, diag_Volt_YdotSin, diag_Volt_YdotCos]=Unbalance(Balance,busNum, ...
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PQi,PG,QG,QGi,iterPD,iterQD,Vmf1,Vaf1,fsY1amp,fsY1ang,r,c,Vf2,If2,Vf0,If0);%不平衡量
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maxD=max(abs([dP;dQ;]));
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jaco=Jacobi(Balance,busNum,QGi,Vmf1,YdotSinVolt,YdotCosVolt,diag_Volt_YdotSin,diag_Volt_YdotCos);%雅克比矩阵
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[dV, dVangle]=Solv(busNum,jaco,dP,dQ);%解出修正量
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[Vmf1, Vaf1]=Modify(Vmf1,Vaf1,dV,dVangle,1);
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fprintf('第 %d 次迭代, 最大不平衡量为 %f\n',k,full(maxD));
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%转换为三相电压
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VoltpABC=Tp2f\conj([ Vf0'; (Vmf1.*exp(1j*Vaf1))'; Vf2']);%用Tp2f\ 代替Tf2p*
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VoltpA=conj(VoltpABC(1,:)');
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CurpA=-conj((iterPhaseASpotLoadP+1j*iterPhaseASpotLoadQ)./VoltpA);
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VoltpB=conj(VoltpABC(2,:)');
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CurpB=-conj((iterPhaseBSpotLoadP+1j*iterPhaseBSpotLoadQ)./VoltpB);
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VoltpC=conj(VoltpABC(3,:)');
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CurpC=-conj((iterPhaseCSpotLoadP+1j*iterPhaseCSpotLoadQ)./VoltpC);
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f012=Tp2f*conj([CurpA';CurpB';CurpC']);
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If0=conj(f012(1,:)');
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If1=conj(f012(2,:)');
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If2=conj(f012(3,:)');
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If0(Balance)=0;
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If2(Balance)=0;
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%Vf0=fsY0\If0;
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Vf0=fsY0Q*(fsY0U\(fsY0L\(fsY0P*(fsY0R\If0))));
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%Vf2=fsY2\If2;
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Vf2=fsY2Q*(fsY2U\(fsY2L\(fsY2P*(fsY2R\If2))));
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fprintf('迭代时间%f\n',toc);
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end
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FortiscueToc=toc;
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fprintf('Fortiscue法计算时间 %f\n',FortiscueToc);
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Vf1=Vmf1.*exp(1j*Vaf1);
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%% 计算三相不平衡度
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%电压不平衡度
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eV2=mean(abs(Vf2)./abs(Vf1))/length(Vf1)/3;
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eV0=mean(abs(Vf0)./abs(Vf1))/length(Vf1)/3;
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%电流不平衡度
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eI2=mean(abs(If2(find(If2)))./abs(If1(find(If1))))/length(find(If1))/3;
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eI0=mean(abs(If0(find(If0)))./abs(If1(find(If1))))/length(find(If1))/3;
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%%
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(Vf0.*conj(fsY00*Vf0)+Vf1.*conj(fsY11*Vf1)+Vf2.*conj(fsY22*Vf2))*3;%包含补偿电容的功率
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conj(Tf2p*[If0(2);If1(2);If2(2)]).*(Tf2p*[Vf0(2);Vf1(2);Vf2(2)]);
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IpABC=Tf2p*conj([If0';If1';If2']);
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%转换回三相电压
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VoltpABC=Tf2p*conj([ Vf0'; Vf1'; Vf2']);
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rVoltpABC=VoltpABC;
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rVoltpA=VoltpA;
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rVoltpB=VoltpB;
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rVoltpC=VoltpC;
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disp([' A B C'])
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full(abs(VoltpABC'))
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fprintf('节点号对应\n');
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disp([setIJ,nodeNum ])
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%%检查反推回去的功率是否满足
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ub=checkSSatisfied(Balance,phaseABCY,VoltpABC, ...
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phaseASpotLoadP,phaseBSpotLoadP,phaseCSpotLoadP, ...
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phaseASpotLoadQ,phaseBSpotLoadQ,phaseCSpotLoadQ );
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fprintf('最大不平衡量为%f\n\n',full(max(abs(ub))))
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% clear PD QD PG QG;
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%准备量测量
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rIf0=If0;
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rIf1=If1;
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rIf2=If2;
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sigma=0.03;
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% iterPhaseASpotLoadP=phaseASpotLoadP;
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% iterPhaseBSpotLoadP=phaseBSpotLoadP;
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% iterPhaseCSpotLoadP=phaseCSpotLoadP;
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% iterPhaseASpotLoadQ=phaseASpotLoadQ;
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% iterPhaseBSpotLoadQ=phaseBSpotLoadQ;
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% iterPhaseCSpotLoadQ=phaseCSpotLoadQ;
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%加误差
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mphaseASpotLoadP=phaseASpotLoadP.*(1+normrnd(0,sigma,length(phaseASpotLoadP),1));
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mphaseBSpotLoadP=phaseBSpotLoadP.*(1+normrnd(0,sigma,length(phaseBSpotLoadP),1));
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mphaseCSpotLoadP=phaseCSpotLoadP.*(1+normrnd(0,sigma,length(phaseCSpotLoadP),1));
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mphaseASpotLoadQ=phaseASpotLoadQ.*(1+normrnd(0,sigma,length(phaseASpotLoadQ),1));
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mphaseBSpotLoadQ=phaseBSpotLoadQ.*(1+normrnd(0,sigma,length(phaseBSpotLoadQ),1));
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mphaseCSpotLoadQ=phaseCSpotLoadQ.*(1+normrnd(0,sigma,length(phaseCSpotLoadQ),1));
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%电压量测量
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% mVoltpA=VoltpA.*(1+normrnd(0,sigma,length(VoltpA),1));
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% mVoltpB=VoltpB.*(1+normrnd(0,sigma,length(VoltpB),1));
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% mVoltpC=VoltpC.*(1+normrnd(0,sigma,length(VoltpC),1));
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%
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mVoltpA=abs(rVoltpA).*(1+normrnd(0,sigma/1,length(VoltpA),1));
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mVoltpB=abs(rVoltpB).*(1+normrnd(0,sigma/1,length(VoltpB),1)).*exp(1j*-120/180*pi);
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mVoltpC=abs(rVoltpC).*(1+normrnd(0,sigma/1,length(VoltpC),1)).*exp(1j*+120/180*pi);
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%
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% mVoltpA=sparse(ones(busNum,1));
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% mVoltpB=sparse(ones(busNum,1)).*exp(1j*-120/180*pi);
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% mVoltpC=sparse(ones(busNum,1)).*exp(1j*+120/180*pi);
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%% 开始进入状态估计
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tic
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%转换得到徐电压的量测量
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fV012=Tp2f*conj([mVoltpA';mVoltpB';mVoltpC']);
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mfV0=conj(fV012(1,:)');
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mfV1=conj(fV012(2,:)');
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mfV2=conj(fV012(3,:)');
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% VoltpA=sparse(ones(busNum,1));
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% VoltpB=sparse(ones(busNum,1)).*exp(1j*-120/180*pi);
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% VoltpC=sparse(ones(busNum,1)).*exp(1j*+120/180*pi);
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%全部转换为负荷电流
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mCurpA=conj((mphaseASpotLoadP+1j*mphaseASpotLoadQ)./mVoltpA);
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mCurpB=conj((mphaseBSpotLoadP+1j*mphaseBSpotLoadQ)./mVoltpB);
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mCurpC=conj((mphaseCSpotLoadP+1j*mphaseCSpotLoadQ)./mVoltpC);
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%转换为序电流
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mf012=Tp2f*conj([mCurpA';mCurpB';mCurpC']);
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%把三序电流分离出来
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mIf0=conj(mf012(1,:)');
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mIf1=conj(mf012(2,:)');%负荷电流
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mIf2=conj(mf012(3,:)');
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mIf0=-mIf0;
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mIf1=-mIf1;%mIf1是注入电流,相当于发电机电流
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mIf2=-mIf2;
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%% 设定量测误差
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%% 先算正序的
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%平衡节点电流
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BalI1r=real(-sum(rIf1));
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BalI1i=imag(-sum(rIf1));
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%电压
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%制作量测量
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% mfsY11=fsY11;
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% mfsY11(:,Balance)=0;
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% mfsY11(Balance,:)=0;
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% mfsY11=mfsY11+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum);
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% rV1=inv(mfsY11)*(mIf1)+1;
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% sigmaV1=normrnd(0,sigma,length(Loadi),1);
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% V1measurement=rV1(Loadi).*(1+sigmaV1);
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V1measurement=mfV1(Loadi);
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% wV1r=abs(real( rV1(Loadi).*sigmaV1 ));
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% wV1i=abs(imag( rV1(Loadi).*sigmaV1 ));
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% sigmaI1=normrnd(0,sigma,length(Loadi),1);
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% I1measurement=mIf1(Loadi).*(1+sigmaI1);%测量值是等效发电机电流
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I1measurement=mIf1(Loadi);
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% wI1r=abs( real(mIf1(Loadi).*sigmaI1) );
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% wI1i=abs( imag(mIf1(Loadi).*sigmaI1) );
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%正序测量误差的第二种形式
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% wI1r=abs(real(I1measurement)).*sigma;
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% wI1i=abs(imag(I1measurement)).*sigma;
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IArW=calIWr(real(mVoltpA),imag(mVoltpA),mphaseASpotLoadP*sigma,mphaseASpotLoadQ*sigma,mphaseASpotLoadP,mphaseASpotLoadQ );
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IAiW=calIWi(real(mVoltpA),imag(mVoltpA),mphaseASpotLoadP*sigma,mphaseASpotLoadQ*sigma,mphaseASpotLoadP,mphaseASpotLoadQ );
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IBrW=calIWr(real(mVoltpB),imag(mVoltpB),mphaseBSpotLoadP*sigma,mphaseBSpotLoadQ*sigma,mphaseBSpotLoadP,mphaseBSpotLoadQ );
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IBiW=calIWi(real(mVoltpB),imag(mVoltpB),mphaseBSpotLoadP*sigma,mphaseBSpotLoadQ*sigma,mphaseBSpotLoadP,mphaseBSpotLoadQ );
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ICrW=calIWr(real(mVoltpC),imag(mVoltpC),mphaseCSpotLoadP*sigma,mphaseCSpotLoadQ*sigma,mphaseCSpotLoadP,mphaseCSpotLoadQ );
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ICiW=calIWi(real(mVoltpC),imag(mVoltpC),mphaseCSpotLoadP*sigma,mphaseCSpotLoadQ*sigma,mphaseCSpotLoadP,mphaseCSpotLoadQ );
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% wI1r=sqrt((IArW+ICrW+IBrW)/9 );
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wI1r=sqrt(1/9*(IArW+0.5^2.*IBrW+0.8668^2.*IBiW+0.5^2.*ICrW+0.866^2.*ICiW));
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wI1r=wI1r(Loadi);
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% wI1i=sqrt((IAiW+ICiW+IBiW)/9 );
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wI1i=sqrt(1/9*(IAiW+0.5^2.*IBiW+0.8668^2.*IBrW+0.5^2.*ICiW+0.866^2.*ICrW));
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wI1i=wI1i(Loadi);
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% wV1r=sqrt(2*( (abs(mVoltpA).*sigma/3).^2+(abs(mVoltpB).*sigma/3).^2+(abs(mVoltpC).*sigma/3).^2 )/9.*abs(mfV1) );
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wV1r=sqrt( (4/9/4*(abs(mVoltpA)+abs(mVoltpC)+abs(mVoltpC)).^2).*abs(mfV1.^2) );
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% wV1i=sqrt(2*( (abs(mVoltpA).*sigma/3).^2+(abs(mVoltpB).*sigma/3).^2+(abs(mVoltpC).*sigma/3).^2 )/9.*abs(mfV1) );
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wV1i=sqrt( (4/9/4*(abs(mVoltpA)+abs(mVoltpC)+abs(mVoltpC)).^2).*abs(mfV1.^2) );
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wV1r=wV1r(Loadi);
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wV1i=wV1i(Loadi);
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% [ V1r,V1i,I1r,I1i ]=IPMLoop(V1measurement,wV1r,wV1i,I1measurement,wI1r,wI1i,BalI1r,BalI1i,busNum,Loadi,fsY11,Balance,1 );
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% f=sum(([real(I1measurement);imag(I1measurement)]-[I1r;I1i]).^2)+sum((real(rV1)-V1r).^2)+sum((imag(rV1)-V1i).^2);
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% fprintf('目标值 %f\n',full(f));
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%% 算负序的
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BalI2r=real(-sum(rIf2));
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BalI2i=imag(-sum(rIf2));
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%电压
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%制作量测量
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% mfsY22=fsY22;
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% mfsY22(:,Balance)=0;
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% mfsY22(Balance,:)=0;
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% mfsY22=mfsY22+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum);
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% rV2=inv(mfsY22)*(mIf2);
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% sigmaV2=normrnd(0,sigma,length(Loadi),1);
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% V2measurement=rV2(Loadi).*(1+sigmaV2);
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V2measurement=mfV2(Loadi);
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% wV2r=abs(real( rV2(Loadi).*sigmaV2 ));
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% wV2i=abs(imag( rV2(Loadi).*sigmaV2 ));
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% sigmaI2=normrnd(0,sigma,length(Loadi),1);
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% I2measurement=mIf2(Loadi).*(1+sigmaI2);%测量值是等效发电机电流
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I2measurement=mIf2(Loadi);
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% wI2r=abs( real(mIf2(Loadi).*sigmaI2) );
|
|
% wI2i=abs( imag(mIf2(Loadi).*sigmaI2) );
|
|
%负序误差的第二种形式
|
|
% wI2r=abs(real(I2measurement)).*sigma;
|
|
% wI2i=abs(imag(I2measurement)).*sigma;
|
|
|
|
% wI2r=sqrt((IArW+ICrW+IBrW)/9 );
|
|
wI2r=sqrt(1/9*(IArW+0.5^2.*IBrW+0.8668^2.*IBiW+0.5^2.*ICrW+0.866^2.*ICiW));
|
|
wI2r=wI2r(Loadi);
|
|
% wI2i=sqrt((IAiW+ICiW+IBiW)/9 );
|
|
wI2i=sqrt(1/9*(IAiW+0.5^2.*IBiW+0.8668^2.*IBrW+0.5^2.*ICiW+0.866^2.*ICrW));
|
|
wI2i=wI2i(Loadi);
|
|
|
|
% wV2r=sqrt(2*( (abs(mVoltpA).*sigma/3).^2+(abs(mVoltpB).*sigma/3).^2+(abs(mVoltpC).*sigma/3).^2 )/9.*abs(mfV2) );
|
|
wV2r=sqrt( (4/9/4*(abs(mVoltpA)+abs(mVoltpC)+abs(mVoltpC)).^2).*abs(mfV2.^2) );
|
|
% wV2i=sqrt(2*( (abs(mVoltpA).*sigma/3).^2+(abs(mVoltpB).*sigma/3).^2+(abs(mVoltpC).*sigma/3).^2 )/9.*abs(mfV2) );
|
|
wV2i=sqrt( (4/9/4*(abs(mVoltpA)+abs(mVoltpC)+abs(mVoltpC)).^2).*abs(mfV2.^2) );
|
|
wV2r=wV2r(Loadi);
|
|
wV2i=wV2i(Loadi);
|
|
|
|
% [ V2r,V2i,I2r,I2i ]=IPMLoop(V2measurement,wV2r,wV2i,I2measurement,wI2r,wI2i,BalI2r,BalI2i,busNum,Loadi,fsY22,Balance,0 );
|
|
% f=sum(([real(I2measurement);imag(I2measurement)]-[I2r;I2i]).^2)+sum((real(rV2)-V2r).^2)+sum((imag(rV2)-V2i).^2);
|
|
% fprintf('目标值 %f\n',full(f));
|
|
%% 算零序
|
|
BalI0r=real(-sum(rIf0));
|
|
BalI0i=imag(-sum(rIf0));
|
|
%电压
|
|
%制作量测量
|
|
% mfsY00=fsY00;
|
|
% mfsY00(:,Balance)=0;
|
|
% mfsY00(Balance,:)=0;
|
|
% mfsY00=mfsY00+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum);
|
|
% rV0=inv(mfsY00)*(mIf0);
|
|
% sigmaV0=normrnd(0,sigma,length(Loadi),1);
|
|
% V0measurement=rV0(Loadi).*(1+sigmaV0);
|
|
V0measurement=mfV0(Loadi);
|
|
% wV0r=abs(real( rV0(Loadi).*sigmaV0 ));
|
|
% wV0i=abs(imag( rV0(Loadi).*sigmaV0 ));
|
|
% sigmaI0=normrnd(0,sigma,length(Loadi),1);
|
|
% I0measurement=mIf0(Loadi).*(1+sigmaI0);%测量值是等效发电机电流
|
|
I0measurement=mIf0(Loadi);
|
|
% wI0r=abs( real(mIf0(Loadi).*sigmaI0) );
|
|
% wI0i=abs( imag(mIf0(Loadi).*sigmaI0) );
|
|
%零序误差的第二种形式
|
|
%
|
|
% wI0r=abs(real(I0measurement)).*sigma;
|
|
% wI0i=abs(imag(I0measurement)).*sigma;
|
|
|
|
% wI0r=sqrt((IArW+ICrW+IBrW)/9 );
|
|
wI0r=sqrt(1/9*(IArW+IBrW+ICrW));
|
|
wI0r=wI0r(Loadi);
|
|
% wI0i=sqrt((IAiW+ICiW+IBiW)/9 );
|
|
wI0i=sqrt(1/9*(IAiW+IBiW+ICiW));
|
|
wI0i=wI0i(Loadi);
|
|
|
|
% wV0r=sqrt(2*( (abs(mVoltpA).*sigma/3).^2+(abs(mVoltpB).*sigma/3).^2+(abs(mVoltpC).*sigma/3).^2 )/9.*abs(mfV0) );
|
|
wV0r=sqrt( (4/9/4*(abs(mVoltpA)+abs(mVoltpC)+abs(mVoltpC)).^2).*abs(mfV0.^2) );
|
|
% wV0i=sqrt(2*( (abs(mVoltpA).*sigma/3).^2+(abs(mVoltpB).*sigma/3).^2+(abs(mVoltpC).*sigma/3).^2 )/9.*abs(mfV0) );
|
|
wV0i=sqrt( (4/9/4*(abs(mVoltpA)+abs(mVoltpC)+abs(mVoltpC)).^2).*abs(mfV0.^2) );
|
|
wV0r=wV0r(Loadi);
|
|
wV0i=wV0i(Loadi);
|
|
% matlabpool local 3
|
|
%% 用三相方差确定三序方差
|
|
|
|
%% 不同量测配置
|
|
noLoadi=[1,8,10,12];
|
|
% noLoadi=[1:9:max(Loadi)];
|
|
% noLoadi=Loadi(1:6:end);
|
|
% noLoadi=[1,19];
|
|
% noLoadi=[4,3,2,5,6,7,11,14,22];
|
|
% noLoadi=Loadi;
|
|
noLoadi=[8];
|
|
% noLoadi=[5];
|
|
% noLoadi=[Loadi(5)];
|
|
% noLoadi=Loadi(1:3);
|
|
wI0r(ismember(Loadi,noLoadi))=1e100000;
|
|
wI0i(ismember(Loadi,noLoadi))=1e100000;
|
|
wI1r(ismember(Loadi,noLoadi))=1e100000;
|
|
wI1i(ismember(Loadi,noLoadi))=1e100000;
|
|
wI2r(ismember(Loadi,noLoadi))=1e100000;
|
|
wI2i(ismember(Loadi,noLoadi))=1e100000;
|
|
|
|
wV0r(ismember(Loadi,noLoadi))=1e100000;
|
|
wV0i(ismember(Loadi,noLoadi))=1e100000;
|
|
wV1r(ismember(Loadi,noLoadi))=1e100000;
|
|
wV1i(ismember(Loadi,noLoadi))=1e100000;
|
|
wV2r(ismember(Loadi,noLoadi))=1e100000;
|
|
wV2i(ismember(Loadi,noLoadi))=1e100000;
|
|
|
|
%考虑负荷曲线不准确的情况
|
|
guessCurpA=conj((phaseASpotLoadP+1j*phaseASpotLoadQ)./mVoltpA).*(1+unifrnd(-0.15,0.15,length(phaseASpotLoadQ),1));
|
|
guessCurpB=conj((phaseBSpotLoadP+1j*phaseBSpotLoadQ)./mVoltpB).*(1+unifrnd(-0.15,0.15,length(phaseBSpotLoadQ),1));
|
|
guessCurpC=conj((phaseCSpotLoadP+1j*phaseCSpotLoadQ)./mVoltpC).*(1+unifrnd(-0.15,0.15,length(phaseCSpotLoadQ),1));
|
|
|
|
guessIf012=Tp2f*conj([-guessCurpA';-guessCurpB';-guessCurpC']);
|
|
guessIf0=conj(guessIf012(1,:)');
|
|
guessIf1=conj(guessIf012(2,:)');
|
|
guessIf2=conj(guessIf012(3,:)');
|
|
guessIf0=guessIf0(Loadi);
|
|
guessIf1=guessIf1(Loadi);
|
|
guessIf2=guessIf2(Loadi);
|
|
totalTime1=0;%正序时间
|
|
totalTime2=0;%负序时间
|
|
totalTime0=0;%零序时间
|
|
toc
|
|
% parpool(2);
|
|
% matlabpool local 3;
|
|
|
|
V1r1=0;
|
|
V1i=0;
|
|
I1r=0;
|
|
I1i=0;
|
|
isConverged1=0;
|
|
calcuTime=0;
|
|
totalTime1=0;
|
|
V2r=0;
|
|
V2i=0;
|
|
I2r=0;
|
|
I2i=0;
|
|
isConverged2=0;
|
|
totalTime2=0;
|
|
V0r=0;
|
|
V0i=0;
|
|
I0r=0;
|
|
I0i=0;
|
|
isConverged0=0;
|
|
totalTime0=0;
|
|
|
|
tic
|
|
for II=1:3
|
|
dI_F=100000000000000;
|
|
if II==1
|
|
% fprintf('正序\n');
|
|
[ V1r,V1i,I1r,I1i,isConverged1,calcuTime,KK ]=IPMLoop(V1measurement,wV1r,wV1i,I1measurement,wI1r,wI1i,BalI1r,BalI1i,busNum,Loadi,fsY11,Balance,1,dI_F,2,guessIf1,rIf1,noLoadi );
|
|
totalTime1=calcuTime;
|
|
interation1=KK;
|
|
fprintf('正序时间%f\n',totalTime1);
|
|
V1r1=V1r;
|
|
end
|
|
% end
|
|
% while 0
|
|
if II==2
|
|
fprintf('负序\n');
|
|
[ V2r,V2i,I2r,I2i,isConverged2,calcuTime,KK ]=IPMLoop(V2measurement,wV2r,wV2i,I2measurement,wI2r,wI2i,BalI2r,BalI2i,busNum,Loadi,fsY22,Balance,0,dI_F,3,guessIf2,rIf2,noLoadi );
|
|
totalTime2=calcuTime;
|
|
interation2=KK;
|
|
fprintf('负序时间%f\n',totalTime2);
|
|
end
|
|
if II==3
|
|
fprintf('零序\n');
|
|
[ V0r,V0i,I0r,I0i,isConverged0,calcuTime,KK ]=IPMLoop(V0measurement,wV0r,wV0i,I0measurement,wI0r,wI0i,BalI0r,BalI0i,busNum,Loadi,fsY00,Balance,0,dI_F,1,guessIf0,rIf0,noLoadi );
|
|
totalTime0=calcuTime;
|
|
interation0=KK;
|
|
fprintf('零序时间%f\n',totalTime0);
|
|
end
|
|
|
|
end
|
|
fprintf('总时间 %f\n',toc);
|
|
% matlabpool close
|
|
% f=sum(([real(I0measurement);imag(I0measurement)]-[I0r;I0i]).^2)+sum((real(rV0)-V0r).^2)+sum((imag(rV0)-V0i).^2);
|
|
% fprintf('目标值 %f\n',full(f));
|
|
%% 把三序合成三相
|
|
% 三相电压
|
|
|
|
SEVf0=V0r+1j*V0i;
|
|
SEVf1=V1r+1j*V1i;
|
|
SEVf2=V2r+1j*V2i;
|
|
SEVoltpABC=Tf2p*conj([ SEVf0'; SEVf1'; SEVf2']);
|
|
% SEVoltpABC2=Tf2p*conj([ rV0'; rV1'; rV2']);
|
|
% 三序电流
|
|
SEIf0=I0r+1j*I0i;
|
|
SEIf1=I1r+1j*I1i;
|
|
SEIf2=I2r+1j*I2i;
|
|
SEIpABC=full(Tf2p*conj([SEIf0';SEIf1';SEIf2']));
|
|
%看一下差多少
|
|
VError=(full(abs(VoltpABC))-abs(SEVoltpABC))./abs(VoltpABC)*100;
|
|
VError=reshape(VError,size(VError,1)*size(VError,2),1);
|
|
% barPlot( VError, 10,['相对误差%'],['分布密度'],['电压幅值']);
|
|
% 三相负荷
|
|
rThreeLoad=[ phaseASpotLoadP'+1j*phaseASpotLoadQ';
|
|
phaseBSpotLoadP'+1j*phaseBSpotLoadQ';
|
|
phaseCSpotLoadP'+1j*phaseCSpotLoadQ';
|
|
];
|
|
mThreeLoad=[ mphaseASpotLoadP'+1j*mphaseASpotLoadQ';
|
|
mphaseBSpotLoadP'+1j*mphaseBSpotLoadQ';
|
|
mphaseCSpotLoadP'+1j*mphaseCSpotLoadQ';
|
|
];
|
|
% rThreeLoad=rThreeLoad(:,setxor(1:size(SEVoltpABC,2),Balance));
|
|
SEThreeLoad=SEVoltpABC(:,Loadi).*conj(-SEIpABC);
|
|
% phaseLoadPError=real(rThreeLoad-SEThreeLoad)./real(rThreeLoad)*100;
|
|
% phaseLoadQError=imag(rThreeLoad-SEThreeLoad)./imag(rThreeLoad)*100;
|
|
% phaseLoadPError=reshape(phaseLoadPError,size(phaseLoadPError,1)*size(phaseLoadPError,2),1);
|
|
% phaseLoadQError=reshape(phaseLoadQError,size(phaseLoadQError,1)*size(phaseLoadQError,2),1);
|
|
% figure()
|
|
% barPlot( phaseLoadPError, 10,['相对误差%'],['分布密度'],['有功负荷误差']);
|
|
% figure()
|
|
% barPlot( phaseLoadQError, 10,'相对误差%','分布密度','无功负荷误差');
|
|
%% 计算统计量
|
|
%目标函数均值
|
|
rVoltABCV=conj([VoltpA';VoltpB';VoltpC']);
|
|
mVoltABCV=conj([mVoltpA';mVoltpB';mVoltpC']);
|
|
rPD3P=real([ phaseASpotLoadP'+1j*phaseASpotLoadQ';
|
|
phaseBSpotLoadP'+1j*phaseBSpotLoadQ';
|
|
phaseCSpotLoadP'+1j*phaseCSpotLoadQ';
|
|
]);
|
|
rPD3P=rPD3P(:,Loadi);
|
|
mPD3P=real([ mphaseASpotLoadP'+1j*mphaseASpotLoadQ';
|
|
mphaseBSpotLoadP'+1j*mphaseBSpotLoadQ';
|
|
mphaseCSpotLoadP'+1j*mphaseCSpotLoadQ';
|
|
]);
|
|
mPD3P=mPD3P(:,Loadi);
|
|
PD3P=real(SEThreeLoad);
|
|
rQD3P=imag([ phaseASpotLoadP'+1j*phaseASpotLoadQ';
|
|
phaseBSpotLoadP'+1j*phaseBSpotLoadQ';
|
|
phaseCSpotLoadP'+1j*phaseCSpotLoadQ';
|
|
]);
|
|
rQD3P=rQD3P(:,Loadi);
|
|
mQD3P=imag([ mphaseASpotLoadP'+1j*mphaseASpotLoadQ';
|
|
mphaseBSpotLoadP'+1j*mphaseBSpotLoadQ';
|
|
mphaseCSpotLoadP'+1j*mphaseCSpotLoadQ';
|
|
]);
|
|
mQD3P=mQD3P(:,Loadi);
|
|
QD3P=imag(SEThreeLoad);
|
|
JMeasurement=sum(sum((( abs(mVoltABCV)-abs(SEVoltpABC) )./ abs(mVoltABCV)./sigma).^2))+sum(sum(((mPD3P-PD3P)./mPD3P./sigma).^2))+sum(sum(((mQD3P-QD3P)./mQD3P./sigma).^2));
|
|
%估计误差统计
|
|
%量测量数量
|
|
Busnum=busNum;
|
|
mCount=Busnum*3+length(Loadi)*3*2;
|
|
%估计量质量
|
|
AME_Volt=sum(sum(abs( abs(rVoltABCV)-abs(SEVoltpABC))))/size(rVoltABCV,1)/size(rVoltABCV,2);
|
|
AME_VAngle=sum(sum(abs( angle(rVoltABCV)-angle(SEVoltpABC))))/size(rVoltABCV,1)/size(rVoltABCV,2);
|
|
AME_PD=sum(sum(abs(real(SEThreeLoad-rThreeLoad(:,Loadi)))))/length(Loadi)/3;
|
|
AME_QD=sum(sum(abs(imag(SEThreeLoad-rThreeLoad(:,Loadi)))))/length(Loadi)/3;
|
|
|
|
AME_Volt=sum(sum(abs( abs(rVoltABCV)-abs(SEVoltpABC))));
|
|
AME_VAngle=sum(sum(abs( angle(rVoltABCV)-angle(SEVoltpABC))));
|
|
AME_PD=sum(sum(abs(real(SEThreeLoad-rThreeLoad(:,Loadi)))));
|
|
AME_QD=sum(sum(abs(imag(SEThreeLoad-rThreeLoad(:,Loadi)))));
|
|
|
|
%计算与量测值的
|
|
AME_mVolt=sum(sum(abs( abs(mVoltABCV)-abs(rVoltABCV))))/size(rVoltABCV,1)/size(rVoltABCV,2);
|
|
AME_mPD=sum(sum(abs(real(rThreeLoad(:,Loadi)-mThreeLoad(:,Loadi)))))/length(Loadi)/3;
|
|
AME_mQD=sum(sum(abs(imag(rThreeLoad(:,Loadi)-mThreeLoad(:,Loadi)))))/length(Loadi)/3;
|
|
|
|
AME_mVolt=sum(sum(abs( abs(mVoltABCV)-abs(rVoltABCV))));
|
|
AME_mPD=sum(sum(abs(real(rThreeLoad(:,Loadi)-mThreeLoad(:,Loadi)))));
|
|
AME_mQD=sum(sum(abs(imag(rThreeLoad(:,Loadi)-mThreeLoad(:,Loadi)))));
|
|
|
|
%无偏估计
|
|
% AME_Volt=abs(rVoltABCV)-abs(SEVoltpABC);
|
|
% AME_VAngle= ( (( angle(rVoltABCV)-angle(SEVoltpABC))));
|
|
% AME_PD= ( ((real(SEThreeLoad-rThreeLoad(:,Loadi)))));
|
|
% AME_QD= ( ((imag(SEThreeLoad-rThreeLoad(:,Loadi)))));
|
|
% %计算与量测值的
|
|
% AME_mVolt= ( (( abs(mVoltABCV)-abs(rVoltABCV))));
|
|
% AME_mPD= ( ((real(rThreeLoad(:,Loadi)-mThreeLoad(:,Loadi)))));
|
|
% AME_mQD= ( ((imag(rThreeLoad(:,Loadi)-mThreeLoad(:,Loadi)))));
|
|
%返回收敛信息
|
|
isConverged=isConverged1*isConverged2*isConverged0;
|
|
|
|
% phaseASpotLoadP=sparse(Loadi,1,real(SEThreeLoad(1,:)),69,1);
|
|
% phaseBSpotLoadP=sparse(Loadi,1,real(SEThreeLoad(2,:)),69,1);
|
|
% phaseCSpotLoadP=sparse(Loadi,1,real(SEThreeLoad(3,:)),69,1);
|
|
% phaseASpotLoadQ=sparse(Loadi,1,imag(SEThreeLoad(1,:)),69,1);
|
|
% phaseBSpotLoadQ=sparse(Loadi,1,imag(SEThreeLoad(2,:)),69,1);
|
|
% phaseCSpotLoadQ=sparse(Loadi,1,imag(SEThreeLoad(3,:)),69,1);
|
|
% ub=checkSSatisfied(Balance,phaseABCY,SEVoltpABC, ...
|
|
% phaseASpotLoadP,phaseBSpotLoadP,phaseCSpotLoadP, ...
|
|
% phaseASpotLoadQ,phaseBSpotLoadQ,phaseCSpotLoadQ );
|
|
|
|
end |