331 lines
10 KiB
Matlab
331 lines
10 KiB
Matlab
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function [JMeasurement,AME_Volt,AME_VAngle,AME_PD,AME_QD,AME_mVolt,AME_mPD,AME_mQD,isConverged,totalTime]=OPF()
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tic
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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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% phaseASpotLoadP(phaseASpotLoadP==0)=0.002;
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% phaseBSpotLoadP(phaseBSpotLoadP==0)=0.002;
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% phaseCSpotLoadP(phaseCSpotLoadP==0)=0.002;
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% phaseASpotLoadQ(phaseASpotLoadQ==0)=0.002;
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% phaseBSpotLoadQ(phaseBSpotLoadQ==0)=0.002;
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% phaseCSpotLoadQ(phaseCSpotLoadQ==0)=0.002;
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%% 潮流计算begin
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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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while(k<=kmax+10 && 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(VoltpB.*sparse(cap.capNode,1,1j*cap.capB(:,2),busNum,1));
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SC=VoltpC.*conj(VoltpC.*sparse(cap.capNode,1,1j*cap.capB(:,3),busNum,1));
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%先不要电容，已经加到序的导纳矩阵中了。20150405 By 杜孟远
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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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[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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%
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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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(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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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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PGQG=CalPGQG(Balance,phaseABCY,VoltpABC,phaseASpotLoadP,phaseBSpotLoadP,phaseCSpotLoadP,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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%% 潮流计算end
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busNum=length(nodeNum);
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Busnum=busNum;
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% PQi=setxor(nodeNum,Balance);
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QGi=[Balance];
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% fprintf('开始牛顿法迭代\n');
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[r,c,GB]=find(phaseABCY);
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Y=abs(phaseABCY);
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Yangle=angle(GB);
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Vp3=sparse(ones(busNum*3,1));%给电压赋初值
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Vp3(2:3:end)=Vp3(2:3:end)*exp(1j*-120/180*pi);
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Vp3(3:3:end)=Vp3(3:3:end)*exp(1j*+120/180*pi);
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PQi3P=zeros(length(Loadi)*3,1);
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PQi3P(1:3:end)=(Loadi-1)*3+1;
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PQi3P(2:3:end)=(Loadi-1)*3+2;
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PQi3P(3:3:end)=(Loadi-1)*3+3;
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Loadi=PQi3P;
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PD3P=sparse(Busnum*3,1);
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QD3P=sparse(Busnum*3,1);
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PD3P(1:3:end)=phaseASpotLoadP*0.9;
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PD3P(2:3:end)=phaseBSpotLoadP*0.9;
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PD3P(3:3:end)=phaseCSpotLoadP*0.9;
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QD3P(1:3:end)=phaseASpotLoadQ*0.9;
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QD3P(2:3:end)=phaseBSpotLoadQ*0.9;
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QD3P(3:3:end)=phaseCSpotLoadQ*0.9;
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PD3P=PD3P(Loadi);
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QD3P=QD3P(Loadi);
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QGi3P=zeros(length(QGi)*3,1);
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QGi3P(1:3:end)=(QGi-1)*3+1;
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QGi3P(2:3:end)=(QGi-1)*3+2;
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QGi3P(3:3:end)=(QGi-1)*3+3;
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Vp3m=abs(Vp3);
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Vp3a=angle(Vp3);
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Balance3P=zeros(length(Balance)*3,1);
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Balance3P(1:3:end)=(Balance-1)*3+1;
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Balance3P(2:3:end)=(Balance-1)*3+2;
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Balance3P(3:3:end)=(Balance-1)*3+3;
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% PGA=sum(PD3P(1:3:end))*1.03;
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% PGB=sum(PD3P(2:3:end))*1.03;
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% PGC=sum(PD3P(3:3:end))*1.03;
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% QGA=sum(QD3P(1:3:end))*1.03;
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% QGB=sum(QD3P(2:3:end))*1.03;
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% QGC=sum(QD3P(3:3:end))*1.03;
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% PG3P=sparse( (Balance-1)*3+1:(Balance-1)*3+3,1,[PGA,PGB,PGC],Busnum*3,1);
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% QG3P=sparse( (Balance-1)*3+1:(Balance-1)*3+3,1,[QGA,QGB,QGC],Busnum*3,1);
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PG3P=real(PGQG);
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QG3P=imag(PGQG);
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Vp3a((Balance-1)*3+1)=0;
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Vp3a((Balance-1)*3+2)=-120/180*pi;
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Vp3a((Balance-1)*3+3)=+120/180*pi;
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%准备量测量和方差
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%真实值
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%三相电压幅值
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rVoltABCV=zeros(busNum*3,1);
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rVoltABCV(1:3:end)=abs(VoltpABC(1,:));
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rVoltABCV(2:3:end)=abs(VoltpABC(2,:));
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rVoltABCV(3:3:end)=abs(VoltpABC(3,:));
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%三相电压相角
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rVoltABCA=zeros(busNum*3,1);
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rVoltABCA(1:3:end)=angle(VoltpABC(1,:));
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rVoltABCA(2:3:end)=angle(VoltpABC(2,:));
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rVoltABCA(3:3:end)=angle(VoltpABC(3,:));
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%三相负荷
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rPD3P=zeros(busNum*3,1);
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rPD3P(1:3:end)=phaseASpotLoadP;
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rPD3P(2:3:end)=phaseBSpotLoadP;
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rPD3P(3:3:end)=phaseCSpotLoadP;
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rQD3P=zeros(busNum*3,1);
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rQD3P(1:3:end)=phaseASpotLoadQ;
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rQD3P(2:3:end)=phaseBSpotLoadQ;
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rQD3P(3:3:end)=phaseCSpotLoadQ;
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rPD3P=rPD3P(Loadi);
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rQD3P=rQD3P(Loadi);
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%量测量
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sigma=0.03;
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VoltSigma=(1+normrnd(0,sigma,length(rVoltABCV),1));
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mVoltABCV=rVoltABCV.*VoltSigma;
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PD3PSigma=(1+normrnd(0,sigma,length(rPD3P),1));
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mPD3P=rPD3P.*PD3PSigma;
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QD3PSigma=(1+normrnd(0,sigma,length(rQD3P),1));
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mQD3P=rQD3P.*QD3PSigma;
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%量测方差
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wVolt=1./(abs(mVoltABCV*sigma).^2);
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wPD=1./(abs(mPD3P*sigma).^2);
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wQD=1./(abs(mQD3P*sigma).^2);
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%% 没有量测量
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% noLoadi=[1,5,6,10,11];
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noLoadi=[1,8,10,12];
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% noLoadi=Loadi;
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% noLoadi=[1,11];
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noLoadi=[];
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noPQi3P=zeros(length(noLoadi)*3,1);
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noPQi3P(1:3:end)=(noLoadi-1)*3+1;
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noPQi3P(2:3:end)=(noLoadi-1)*3+2;
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noPQi3P(3:3:end)=(noLoadi-1)*3+3;
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% noPQi3P=Loadi;
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wVolt(setdiff(1:length(wVolt),Loadi))=0;%只有负荷处才有电压量测。
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wVolt( noPQi3P)=0;
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wPD(ismember( Loadi,noPQi3P))=0;
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wQD(ismember( Loadi,noPQi3P))=0;
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%%
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% RestraintCount=size(Loadi,1)*2+length(rVoltABCV); %约束条件数
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% RestraintCount=size(Loadi,1)*2; %约束条件数
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Init_Y=sparse(1,2*Busnum*3);%与学姐一致
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KK=0;
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ContrlCount=size(Loadi,1)*2+Busnum*6;
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kmax=200;
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%%
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Precision=1e-5;
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CenterA=0.1;
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%% 加误差
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Volt=1*Vp3m;
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% Volt=mVoltABCV;
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UAngel=Vp3a;
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maxD=100;
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tic
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while(maxD>Precision)
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if KK>kmax
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break;
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end
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%% 开始计算OPF
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%% 形成等式约束的雅克比
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deltH=func_deltH(Busnum,Volt,Y,UAngel,r,c,Yangle,Loadi);
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%% 形成不等式约束的雅克比
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% deltG=func_deltG(Busnum,Loadi);
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%%
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%% 形成海森阵
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deltdeltF=func_deltdeltF(wVolt,wPD,wQD,ContrlCount,Loadi);
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%% 形成ddHy
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ddh=func_ddh(Volt,Init_Y,Busnum,Y,UAngel,r,c,Yangle,Loadi,ContrlCount);
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%% 开始构建ddg
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%% 开始构建deltF
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deltF=func_deltF(wVolt,wPD,wQD,mPD3P,PD3P,QD3P,mQD3P,Volt,mVoltABCV,Busnum,Loadi);
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%% 形成方程矩阵
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% Luu=Init_U'.*Init_W'+Init_u*ones(RestraintCount,1);
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% Lul=Init_L'.*Init_Z'-Init_u*ones(RestraintCount,1);
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% Mat_G=FormG(Volt,PD3P,QD3P,Loadi);
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Mat_H=FormH(Busnum,Volt,PG3P,PD3P,QG3P,QD3P,Y,UAngel,r,c,Yangle,Loadi);
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Ly=Mat_H;
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% if isSetBound==0
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% PDL=0.70*rPD3P.*(1+unifrnd(-0.15,0.15,length(rPD3P),1));
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% QDL=0.70*rQD3P.*(1+unifrnd(-0.15,0.15,length(rQD3P),1));
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% PDU=1.3*rPD3P.*(1+unifrnd(-0.15,0.15,length(rPD3P),1));
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% QDU=1.3*rQD3P.*(1+unifrnd(-0.15,0.15,length(rPD3P),1));
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% isSetBound=1;
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% end
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% Lz=FormLz(Mat_G,Init_L,Loadi,rPD3P,rQD3P,rVoltABCV,PDL,QDL);
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% Lw=FormLw(Mat_G,Init_U,Loadi,rPD3P,rQD3P,rVoltABCV,PDU,QDU);
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Lx=FormLx(deltF,deltH,Init_Y);
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% YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx);
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%% 开始解方程
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% fprintf('迭代次数 %d Gap %f\n',KK+1,plotGap(KK+1));
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XX=SolveIt(deltdeltF,ddh,deltH,Init_Y,Ly,ContrlCount,Lx,Balance,Busnum,Loadi);
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%%取各分量
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[deltX,deltY]=AssignXX(XX,ContrlCount,Loadi,Balance,Busnum);
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[Init_Y,PG,QG,Volt,UAngel,PD3P,QD3P]=Modification(Init_Y,deltX,deltY,PG,QG,Volt,UAngel,ContrlCount,Balance,Busnum,PD3P,QD3P,Loadi);
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maxD=max(abs([deltX;deltY]));
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fprintf('%f\n',full(maxD));
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KK=KK+1;
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end
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totalTime=toc
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(rVoltABCV-Volt)./rVoltABCV*100;
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%% 计算统计量
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%目标函数均值
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JMeasurement=sum(((mVoltABCV-Volt)./mVoltABCV./sigma).^2)+sum(((mPD3P-PD3P)./mPD3P./sigma).^2)+sum(((mQD3P-QD3P)./mQD3P./sigma).^2);
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%估计误差统计
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%量测量数量
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Busnum=busNum;
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mCount=Busnum*3+length(Loadi)*3*2;
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%估计量质量
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AME_Volt=sum(sum(abs( abs(rVoltABCV)-abs(Volt))));
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AME_VAngle=sum(sum(abs( rVoltABCA-UAngel)));
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AME_PD=sum(sum(abs(rPD3P-PD3P)));
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AME_QD=sum(sum(abs(rQD3P-QD3P)));
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%计算与量测值的
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AME_mVolt=sum(sum(abs( mVoltABCV-rVoltABCV)));
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AME_mPD=sum(sum(abs(rPD3P-mPD3P)));
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AME_mQD=sum(sum(abs(rQD3P-mQD3P)));
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%返回收敛信息
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isConverged=1;
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if KK>=kmax
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isConverged=0;
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end
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if abs(maxD)>Precision
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isConverged=0;
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end
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fprintf('迭代次数%d\n',KK);
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toc
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end
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