%% 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。 % close all clc clear lineZ=readLineZ('feeder13\lineParameter.txt'); [ fsY0, fsY1, fsY2,phaseASpotLoadP,phaseBSpotLoadP,phaseCSpotLoadP ... phaseASpotLoadQ,phaseBSpotLoadQ,phaseCSpotLoadQ,setIJ,nodeNum,Balance,phaseABCY ... cap]=dataRead(lineZ,'feeder13\data1.txt'); 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-5; 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 && 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(VoltpA.*sparse(cap.capNode,1,1j*cap.capB(:,2),busNum,1)); SC=VoltpC.*conj(VoltpA.*sparse(cap.capNode,1,1j*cap.capB(:,3),busNum,1)); %先不要电容 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); % %全部转换为负荷电流 % CurpA=conj((iterPhaseASpotLoadP+1j*iterPhaseASpotLoadQ)./VoltpA); % CurpB=conj((iterPhaseBSpotLoadP+1j*iterPhaseBSpotLoadQ)./VoltpB); % CurpC=conj((iterPhaseCSpotLoadP+1j*iterPhaseCSpotLoadQ)./VoltpC); % %转换为序电流 % f012=Tp2f*conj([CurpA';CurpB';CurpC']); % %把三序电流分离出来 % If0=conj(f012(1,:)'); % If1=conj(f012(2,:)'); % If2=conj(f012(3,:)'); % %试着算一下正序电流 % fsY11*V1; % %形成负荷序电流的测量值 % mIf0=If0; % mIf1=If1; % mIf1(3)=-mIf1(2); % mIf2=If2; % %计算 % fsY11=fsY11+sparse(Balance,Balance,ones(length(Balance),1),busNum,bus % Num);%这里要置0,置1,否则是奇异的 %%做最小二乘法 [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 ); fprintf('最大不平衡量为%f\n\n',full(max(abs(ub)))) %% 开始进入状态估计 % clear PD QD PG QG; %准备量测量 iterPhaseASpotLoadP=phaseASpotLoadP; iterPhaseBSpotLoadP=phaseBSpotLoadP; iterPhaseCSpotLoadP=phaseCSpotLoadP; iterPhaseASpotLoadQ=phaseASpotLoadQ; iterPhaseBSpotLoadQ=phaseBSpotLoadQ; iterPhaseCSpotLoadQ=phaseCSpotLoadQ; %全部转换为负荷电流 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); CurpA=conj((iterPhaseASpotLoadP+1j*iterPhaseASpotLoadQ)./VoltpA); CurpB=conj((iterPhaseBSpotLoadP+1j*iterPhaseBSpotLoadQ)./VoltpB); CurpC=conj((iterPhaseCSpotLoadP+1j*iterPhaseCSpotLoadQ)./VoltpC); %转换为序电流 f012=Tp2f*conj([CurpA';CurpB';CurpC']); %把三序电流分离出来 If0=conj(f012(1,:)'); If1=conj(f012(2,:)');%负荷电流 If2=conj(f012(3,:)'); %试着算一下正序电流 % fsY11*V1; %形成负荷序电流的测量值 %% 设定量测误差 sigma=0.03; mIf0=-If0; mIf1=-If1;%mIf1是注入电流,相当于发电机电流 mIf2=-If2; %% 先算正序的 %平衡节点电流 fprintf('正序\n'); BalI1r=real(-sum(mIf1)); BalI1i=imag(-sum(mIf1)); %电压 %制作量测量 mfsY11=fsY11; mfsY11(:,Balance)=0; mfsY11(Balance,:)=0; mfsY11=mfsY11+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum); rV1=inv(mfsY11)*(mIf1)+1; sigmaV1=normrnd(0,sigma,length(Loadi),1); V1measurement=rV1(Loadi).*(1+sigmaV1); wV1r=abs(real( rV1(Loadi).*sigmaV1 )); wV1i=abs(imag( rV1(Loadi).*sigmaV1 )); sigmaI1=normrnd(0,sigma,length(Loadi),1); I1measurement=mIf1(Loadi).*(1+sigmaI1);%测量值是等效发电机电流 wI1r=abs( real(mIf1(Loadi).*sigmaI1) ); wI1i=abs( imag(mIf1(Loadi).*sigmaI1) ); % [ V1r,V1i,I1r,I1i ]=IPMLoop(V1measurement,wV1r,wV1i,I1measurement,wI1r,wI1i,BalI1r,BalI1i,busNum,Loadi,fsY11,Balance,1 ); % f=sum(([real(I1measurement);imag(I1measurement)]-[I1r;I1i]).^2)+sum((real(rV1)-V1r).^2)+sum((imag(rV1)-V1i).^2); % fprintf('目标值 %f\n',full(f)); %% 算负序的 fprintf('负序\n'); BalI2r=real(-sum(mIf2)); BalI2i=imag(-sum(mIf2)); %电压 %制作量测量 mfsY22=fsY22; mfsY22(:,Balance)=0; mfsY22(Balance,:)=0; mfsY22=mfsY22+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum); rV2=inv(mfsY22)*(mIf2); sigmaV2=normrnd(0,sigma,length(Loadi),1); V2measurement=rV2(Loadi).*(1+sigmaV2); wV2r=abs(real( rV2(Loadi).*sigmaV2 )); wV2i=abs(imag( rV2(Loadi).*sigmaV2 )); sigmaI2=normrnd(0,sigma,length(Loadi),1); I2measurement=mIf2(Loadi).*(1+sigmaI2);%测量值是等效发电机电流 wI2r=abs( real(mIf2(Loadi).*sigmaI2) ); wI2i=abs( imag(mIf2(Loadi).*sigmaI2) ); % [ 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 fprintf('零序\n'); BalI0r=real(-sum(mIf0)); BalI0i=imag(-sum(mIf0)); %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); 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 wI0r=abs( real(mIf0(Loadi).*sigmaI0) ); wI0i=abs( imag(mIf0(Loadi).*sigmaI0) ); % matlabpool local 3 tic for II=1:3 if II==1 [ V1r,V1i,I1r,I1i ]=IPMLoop(V1measurement,wV1r,wV1i,I1measurement,wI1r,wI1i,BalI1r,BalI1i,busNum,Loadi,fsY11,Balance,1 ); end if II==2 [ V2r,V2i,I2r,I2i ]=IPMLoop(V2measurement,wV2r,wV2i,I2measurement,wI2r,wI2i,BalI2r,BalI2i,busNum,Loadi,fsY22,Balance,0 ); end if II==3 [ V0r,V0i,I0r,I0i ]=IPMLoop(V0measurement,wV0r,wV0i,I0measurement,wI0r,wI0i,BalI0r,BalI0i,busNum,Loadi,fsY00,Balance,0 ); end end 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(1:3)';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'; ]; rThreeLoad=rThreeLoad(:,setxor(1:size(SEVoltpABC,2),Balance)); SEThreeLoad=SEVoltpABC(:,setxor(1:size(SEVoltpABC,2),Balance)).*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');