function [JMeasurement,AME_Volt,AME_VAngle,AME_PD,AME_QD,AME_mVolt,AME_mPD,AME_mQD,isConverged,totalTime]=OPF() tic clc clear lineZ=readLineZ('./../DistributionNetwork-Power2Current/modified-feeder69/lineParameter.txt'); [ fsY0, fsY1, fsY2,phaseASpotLoadP,phaseBSpotLoadP,phaseCSpotLoadP ... phaseASpotLoadQ,phaseBSpotLoadQ,phaseCSpotLoadQ,setIJ,nodeNum,Balance,phaseABCY ... cap]=dataRead(lineZ,'./../DistributionNetwork-Power2Current/modified-feeder69/data.txt'); % phaseASpotLoadP(phaseASpotLoadP==0)=0.002; % phaseBSpotLoadP(phaseBSpotLoadP==0)=0.002; % phaseCSpotLoadP(phaseCSpotLoadP==0)=0.002; % phaseASpotLoadQ(phaseASpotLoadQ==0)=0.002; % phaseBSpotLoadQ(phaseBSpotLoadQ==0)=0.002; % phaseCSpotLoadQ(phaseCSpotLoadQ==0)=0.002; %负荷不平衡 % for I=1:length(phaseASpotLoadP) % roll=mod(round(rand()*10),3); % if roll==0 % phaseBSpotLoadP(I)=phaseBSpotLoadP(I)+phaseASpotLoadP(I)*.45; % phaseCSpotLoadP(I)=phaseCSpotLoadP(I)+phaseASpotLoadP(I)*.45; % phaseASpotLoadP(I)=phaseASpotLoadP(I)*.10; % % phaseBSpotLoadQ(I)=phaseBSpotLoadQ(I)+phaseASpotLoadQ(I)*.45; % phaseCSpotLoadQ(I)=phaseCSpotLoadQ(I)+phaseASpotLoadQ(I)*.45; % phaseASpotLoadQ(I)=phaseASpotLoadQ(I)*.10; % end % if roll==1 % phaseASpotLoadP(I)=phaseASpotLoadP(I)+phaseBSpotLoadP(I)*.45; % phaseCSpotLoadP(I)=phaseCSpotLoadP(I)+phaseBSpotLoadP(I)*.45; % phaseBSpotLoadP(I)=phaseBSpotLoadP(I)*.10; % % phaseASpotLoadQ(I)=phaseASpotLoadQ(I)+phaseBSpotLoadQ(I)*.45; % phaseCSpotLoadQ(I)=phaseCSpotLoadQ(I)+phaseBSpotLoadQ(I)*.45; % phaseBSpotLoadQ(I)=phaseBSpotLoadQ(I)*.10; % end % if roll==2 % phaseASpotLoadP(I)=phaseASpotLoadP(I)+phaseCSpotLoadP(I)*.45; % phaseBSpotLoadP(I)=phaseBSpotLoadP(I)+phaseCSpotLoadP(I)*.45; % phaseCSpotLoadP(I)=phaseCSpotLoadP(I)*.10; % % phaseASpotLoadQ(I)=phaseASpotLoadQ(I)+phaseCSpotLoadQ(I)*.45; % phaseBSpotLoadQ(I)=phaseBSpotLoadQ(I)+phaseCSpotLoadQ(I)*.45; % phaseCSpotLoadQ(I)=phaseCSpotLoadQ(I)*.10; % end % end %% 潮流计算begin a=exp(1j*2*pi/3); Tp2f=1/3*[1 1 1; 1 a a^2; 1 a^2 a]; Tp2f=sparse(Tp2f); Tf2p=inv(Tp2f); fsY1amp=abs(fsY1); [r,c,fsY1ang]=find(fsY1); fsY1ang=angle(fsY1ang); Pabc=phaseASpotLoadP+phaseBSpotLoadP+phaseCSpotLoadP; Qabc=phaseASpotLoadQ+phaseBSpotLoadQ+phaseCSpotLoadQ; busNum=length(phaseASpotLoadP); %给序电压赋初值 Vmf1=sparse(ones(busNum,1)); Vaf1=sparse(zeros(busNum,1)); %先求解正序的 PQi=nodeNum; PG=sparse(busNum,1); QG=sparse(busNum,1); QGi=[Balance]; PD=Pabc/3; QD=Qabc/3; Loadi=find(PD~=0); maxD=100000;% 最大不平衡量 EPS=1e-6; k=0; kmax=20; fsY11=fsY1; fsY00=fsY0; fsY22=fsY2; Vf2=sparse(busNum,1); If2=sparse(busNum,1); Vf0=sparse(busNum,1); If0=sparse(busNum,1); %准备序矩阵 %平衡节点置0置1 fsY2(Balance,:)=0; fsY2(:,Balance)=0; fsY2=fsY2+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum); %平衡节点置0置1 fsY0(Balance,:)=0; fsY0(:,Balance)=0; fsY0=fsY0+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum); %%LU分解 [fsY0L,fsY0U,fsY0P,fsY0Q,fsY0R]=lu(fsY0); [fsY2L,fsY2U,fsY2P,fsY2Q,fsY2R]=lu(fsY2); %算初始补偿功率 tic VoltpA=sparse(ones(busNum,1)); VoltpB=sparse(ones(busNum,1)).*exp(1j*-120/180*pi); VoltpC=sparse(ones(busNum,1)).*exp(1j*+120/180*pi); while(k<=kmax+10 && maxD> EPS) k=k+1; %把补偿电容看作负荷 SA=VoltpA.*conj(VoltpA.*sparse(cap.capNode,1,1j*cap.capB(:,1),busNum,1)); SB=VoltpB.*conj(VoltpB.*sparse(cap.capNode,1,1j*cap.capB(:,2),busNum,1)); SC=VoltpC.*conj(VoltpC.*sparse(cap.capNode,1,1j*cap.capB(:,3),busNum,1)); %先不要电容,已经加到序的导纳矩阵中了。20150405 By 杜孟远 SA=0; SB=0; SC=0; iterPD=PD+real(SA+SB+SC)/3; iterQD=QD+imag(SA+SB+SC)/3; iterPhaseASpotLoadP=phaseASpotLoadP+real(SA); iterPhaseBSpotLoadP=phaseBSpotLoadP+real(SB); iterPhaseCSpotLoadP=phaseCSpotLoadP+real(SC); iterPhaseASpotLoadQ=phaseASpotLoadQ+imag(SA); iterPhaseBSpotLoadQ=phaseBSpotLoadQ+imag(SB); iterPhaseCSpotLoadQ=phaseCSpotLoadQ+imag(SC); [dP, dQ, YdotSinVolt, YdotCosVolt, diag_Volt_YdotSin, diag_Volt_YdotCos]=Unbalance(Balance,busNum, ... PQi,PG,QG,QGi,iterPD,iterQD,Vmf1,Vaf1,fsY1amp,fsY1ang,r,c,Vf2,If2,Vf0,If0);%不平衡量 maxD=max(abs([dP;dQ;])); jaco=Jacobi(Balance,busNum,QGi,Vmf1,YdotSinVolt,YdotCosVolt,diag_Volt_YdotSin,diag_Volt_YdotCos);%雅克比矩阵 [dV, dVangle]=Solv(busNum,jaco,dP,dQ);%解出修正量 [Vmf1, Vaf1]=Modify(Vmf1,Vaf1,dV,dVangle,1); fprintf('第 %d 次迭代, 最大不平衡量为 %f\n',k,full(maxD)); %转换为三相电压 VoltpABC=Tp2f\conj([ Vf0'; (Vmf1.*exp(1j*Vaf1))'; Vf2']);%用Tp2f\ 代替Tf2p* VoltpA=conj(VoltpABC(1,:)'); CurpA=-conj((iterPhaseASpotLoadP+1j*iterPhaseASpotLoadQ)./VoltpA); VoltpB=conj(VoltpABC(2,:)'); CurpB=-conj((iterPhaseBSpotLoadP+1j*iterPhaseBSpotLoadQ)./VoltpB); VoltpC=conj(VoltpABC(3,:)'); CurpC=-conj((iterPhaseCSpotLoadP+1j*iterPhaseCSpotLoadQ)./VoltpC); f012=Tp2f*conj([CurpA';CurpB';CurpC']); If0=conj(f012(1,:)'); If1=conj(f012(2,:)'); If2=conj(f012(3,:)'); If0(Balance)=0; If2(Balance)=0; %Vf0=fsY0\If0; Vf0=fsY0Q*(fsY0U\(fsY0L\(fsY0P*(fsY0R\If0)))); %Vf2=fsY2\If2; Vf2=fsY2Q*(fsY2U\(fsY2L\(fsY2P*(fsY2R\If2)))); fprintf('迭代时间%f\n',toc); % end FortiscueToc=toc; fprintf('Fortiscue法计算时间 %f\n',FortiscueToc); Vf1=Vmf1.*exp(1j*Vaf1); (Vf0.*conj(fsY00*Vf0)+Vf1.*conj(fsY11*Vf1)+Vf2.*conj(fsY22*Vf2))*3;%包含补偿电容的功率 conj(Tf2p*[If0(2);If1(2);If2(2)]).*(Tf2p*[Vf0(2);Vf1(2);Vf2(2)]); IpABC=Tf2p*conj([If0';If1';If2']); %转换回三相电压 VoltpABC=Tf2p*conj([ Vf0'; Vf1'; Vf2']); disp([' A B C']) full(abs(VoltpABC')) fprintf('节点号对应\n'); disp([setIJ,nodeNum ]) %%检查反推回去的功率是否满足 ub=checkSSatisfied(Balance,phaseABCY,VoltpABC, ... phaseASpotLoadP,phaseBSpotLoadP,phaseCSpotLoadP, ... phaseASpotLoadQ,phaseBSpotLoadQ,phaseCSpotLoadQ ); PGQG=CalPGQG(Balance,phaseABCY,VoltpABC,phaseASpotLoadP,phaseBSpotLoadP,phaseCSpotLoadP,phaseASpotLoadQ,phaseBSpotLoadQ,phaseCSpotLoadQ ); fprintf('最大不平衡量为%f\n\n',full(max(abs(ub)))) %% 潮流计算end busNum=length(nodeNum); Busnum=busNum; % PQi=setxor(nodeNum,Balance); QGi=[Balance]; % fprintf('开始牛顿法迭代\n'); [r,c,GB]=find(phaseABCY); Y=abs(phaseABCY); Yangle=angle(GB); Vp3=sparse(ones(busNum*3,1));%给电压赋初值 Vp3(2:3:end)=Vp3(2:3:end)*exp(1j*-120/180*pi); Vp3(3:3:end)=Vp3(3:3:end)*exp(1j*+120/180*pi); PQi3P=zeros(length(Loadi)*3,1); PQi3P(1:3:end)=(Loadi-1)*3+1; PQi3P(2:3:end)=(Loadi-1)*3+2; PQi3P(3:3:end)=(Loadi-1)*3+3; Loadi=PQi3P; %把发电机也作为负荷 Loadi=[Loadi;(Balance-1)*3+1;(Balance-1)*3+2;(Balance-1)*3+3]; PD3P=sparse(Busnum*3,1); QD3P=sparse(Busnum*3,1); phaseASpotLoadP(Balance)=-real(PGQG((Balance-1)*3+1)); phaseBSpotLoadP(Balance)=-real(PGQG((Balance-1)*3+2)); phaseCSpotLoadP(Balance)=-real(PGQG((Balance-1)*3+3)); phaseASpotLoadQ(Balance)=-imag(PGQG((Balance-1)*3+1)); phaseBSpotLoadQ(Balance)=-imag(PGQG((Balance-1)*3+2)); phaseCSpotLoadQ(Balance)=-imag(PGQG((Balance-1)*3+3)); % PD3P(1:3:end)=phaseASpotLoadP*0.9; % PD3P(2:3:end)=phaseBSpotLoadP*0.9; % PD3P(3:3:end)=phaseCSpotLoadP*0.9; % QD3P(1:3:end)=phaseASpotLoadQ*0.9; % QD3P(2:3:end)=phaseBSpotLoadQ*0.9; % QD3P(3:3:end)=phaseCSpotLoadQ*0.9; PD3P=PD3P(Loadi); QD3P=QD3P(Loadi); QGi3P=zeros(length(QGi)*3,1); QGi3P(1:3:end)=(QGi-1)*3+1; QGi3P(2:3:end)=(QGi-1)*3+2; QGi3P(3:3:end)=(QGi-1)*3+3; Vp3m=abs(Vp3); Vp3a=angle(Vp3); Balance3P=zeros(length(Balance)*3,1); Balance3P(1:3:end)=(Balance-1)*3+1; Balance3P(2:3:end)=(Balance-1)*3+2; Balance3P(3:3:end)=(Balance-1)*3+3; % PGA=sum(PD3P(1:3:end))*1.03; % PGB=sum(PD3P(2:3:end))*1.03; % PGC=sum(PD3P(3:3:end))*1.03; % QGA=sum(QD3P(1:3:end))*1.03; % QGB=sum(QD3P(2:3:end))*1.03; % QGC=sum(QD3P(3:3:end))*1.03; % PG3P=sparse( (Balance-1)*3+1:(Balance-1)*3+3,1,[PGA,PGB,PGC],Busnum*3,1); % QG3P=sparse( (Balance-1)*3+1:(Balance-1)*3+3,1,[QGA,QGB,QGC],Busnum*3,1); PG3P=real(PGQG); QG3P=imag(PGQG); Vp3a((Balance-1)*3+1)=0; Vp3a((Balance-1)*3+2)=-120/180*pi; Vp3a((Balance-1)*3+3)=+120/180*pi; %准备量测量和方差 %真实值 %三相电压幅值 rVoltABCV=zeros(busNum*3,1); rVoltABCV(1:3:end)=abs(VoltpABC(1,:)); rVoltABCV(2:3:end)=abs(VoltpABC(2,:)); rVoltABCV(3:3:end)=abs(VoltpABC(3,:)); %三相电压相角 rVoltABCA=zeros(busNum*3,1); rVoltABCA(1:3:end)=angle(VoltpABC(1,:)); rVoltABCA(2:3:end)=angle(VoltpABC(2,:)); rVoltABCA(3:3:end)=angle(VoltpABC(3,:)); %三相负荷 rPD3P=zeros(busNum*3,1); rPD3P(1:3:end)=phaseASpotLoadP; rPD3P(2:3:end)=phaseBSpotLoadP; rPD3P(3:3:end)=phaseCSpotLoadP; rQD3P=zeros(busNum*3,1); rQD3P(1:3:end)=phaseASpotLoadQ; rQD3P(2:3:end)=phaseBSpotLoadQ; rQD3P(3:3:end)=phaseCSpotLoadQ; rPD3P=rPD3P(Loadi); rQD3P=rQD3P(Loadi); %% 没有量测量 % noLoadi=[1,5,6,10,11]; noLoadi=[1,8,10,12]; % noLoadi=Loadi; % noLoadi=[1,11]; noLoadi=[5]; % noLoadi=[5,11,19,27,37,43,54,61]; noPQi3P=zeros(length(noLoadi)*3,1); noPQi3P(1:3:end)=(noLoadi-1)*3+1; noPQi3P(2:3:end)=(noLoadi-1)*3+2; noPQi3P(3:3:end)=(noLoadi-1)*3+3; % noPQi3P=Loadi; %量测量 sigma=0.03; VoltSigma=(1+normrnd(0,sigma/3,length(rVoltABCV),1)); mVoltABCV=rVoltABCV.*VoltSigma; % mVoltABCV(noPQi3P)=rVoltABCV(noPQi3P).*(1+normrnd(0,0.10,length(noPQi3P),1)); PD3PSigma=(1+normrnd(0,sigma,length(rPD3P),1)); mPD3P=rPD3P.*PD3PSigma; QD3PSigma=(1+normrnd(0,sigma,length(rQD3P),1)); mQD3P=rQD3P.*QD3PSigma; mPD3P(ismember(Loadi,noPQi3P))=rPD3P(ismember(Loadi,noPQi3P)).*(1+unifrnd(-0.15,0.15,length(noPQi3P),1)); mQD3P(ismember(Loadi,noPQi3P))=rQD3P(ismember(Loadi,noPQi3P)).*(1+unifrnd(-0.15,0.15,length(noPQi3P),1)); %量测方差 wVolt=1./(abs(mVoltABCV*sigma/3).^2); wPD=1./(abs(mPD3P*sigma).^2); wQD=1./(abs(mQD3P*sigma).^2); wVolt(setdiff(1:length(wVolt),Loadi))=0;%只有负荷处才有电压量测。 % wVolt( noPQi3P)=0; wPD(ismember( Loadi,noPQi3P))=1./(abs(mPD3P(ismember( Loadi,noPQi3P))*0.15).^2); wQD(ismember( Loadi,noPQi3P))=1./(abs(mQD3P(ismember( Loadi,noPQi3P))*0.15).^2); %% % RestraintCount=size(Loadi,1)*2+length(rVoltABCV); %约束条件数 % RestraintCount=size(Loadi,1)*2; %约束条件数 Init_Y=sparse(length(setdiff(1:Busnum*3,Loadi))*2,1);%与学姐一致 KK=0; ContrlCount=size(Loadi,1)*2+Busnum*6; kmax=200; %% Precision=1e-5; CenterA=0.1; %% 加误差 maxD=100; tic Volt=1*Vp3m; UAngel=Vp3a; while(maxD>Precision) if KK>kmax break; end %% 开始计算OPF %% 形成等式约束的雅克比 dH_dx = jacobian_M(Busnum,Volt,Y,Yangle,UAngel,r,c); %形成雅克比矩阵 %% 形成不等式约束的雅克比 %% 开始构建ddg %% 开始构建deltF deltF=func_deltF(wVolt,wPD,wQD,mPD3P,PD3P,QD3P,mQD3P,Volt,mVoltABCV,Busnum,Loadi); %% 形成方程矩阵 Mat_H=FormH(Busnum,Volt,PG3P,PD3P,QG3P,QD3P,Y,UAngel,r,c,Yangle,Loadi); %% 开始解方程 % fprintf('迭代次数 %d Gap %f\n',KK+1,plotGap(KK+1)); XX=SolveIt(ContrlCount,Balance,Busnum,Loadi,deltF,mPD3P,PD3P,mQD3P,QD3P,mVoltABCV,Volt,Mat_H,wVolt,wPD,wQD,dH_dx); %%取各分量 [deltX,deltY]=AssignXX(XX,ContrlCount,Loadi,Balance,Busnum); [Init_Y,PG,QG,Volt,UAngel,PD3P,QD3P]=Modification(Init_Y,deltX,deltY,PG,QG,Volt,UAngel,ContrlCount,Balance,Busnum,PD3P,QD3P,Loadi); maxD=max(abs([deltX])); fprintf('%f\n',full(maxD)); KK=KK+1; end totalTime=toc (rVoltABCV-Volt)./rVoltABCV*100; PD3P=-Mat_H(Loadi); QD3P=-Mat_H(Loadi+Busnum*3); %% 计算统计量 %目标函数均值 JMeasurement=sum(((mVoltABCV-Volt)./mVoltABCV./sigma).^2)+sum(((mPD3P-PD3P)./mPD3P./sigma).^2)+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(Volt))))/3/busNum; AME_VAngle=sum(sum(abs( rVoltABCA-UAngel)))/3/busNum; AME_PD=sum(sum(abs(rPD3P-PD3P)))/length(Loadi); AME_QD=sum(sum(abs(rQD3P-QD3P)))/length(Loadi); %计算与量测值的 AME_mVolt=sum(sum(abs( mVoltABCV-rVoltABCV)))/3/busNum; AME_mPD=sum(sum(abs(rPD3P-mPD3P)))/length(Loadi); AME_mQD=sum(sum(abs(rQD3P-mQD3P)))/length(Loadi); %返回收敛信息 isConverged=1; if KK>=kmax isConverged=0; end if abs(maxD)>Precision isConverged=0; end fprintf('迭代次数%d\n',KK); toc end