366 lines
13 KiB
Matlab
366 lines
13 KiB
Matlab
function [JMeasurement,SEMeasurement,SEMeasurementNOPQ,SEMeasurementM,SEMeasurementNOPQM,isConverged]=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('feeder13\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,'feeder13\data1.txt');
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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-5;
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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 && 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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%%
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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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fprintf('最大不平衡量为%f\n\n',full(max(abs(ub))))
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%% 开始进入状态估计
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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(VoltpA).*(1+normrnd(0,sigma,length(VoltpA),1));
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% mVoltpB=abs(VoltpB).*(1+normrnd(0,sigma,length(VoltpB),1)).*exp(1j*-120/180*pi);
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% mVoltpC=abs(VoltpC).*(1+normrnd(0,sigma,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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%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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wV1r=abs(real(V1measurement)).*sigma;
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wV1i=abs(imag(V1measurement)).*sigma;
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wV1i(abs(wV1i)<1e-5)=1e10;
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wI1r=abs(real(I1measurement)).*sigma;
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wI1i=abs(imag(I1measurement)).*sigma;
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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) );
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% wI2i=abs( imag(mIf2(Loadi).*sigmaI2) );
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%负序误差的第二种形式
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wV2r=abs(real(V2measurement)).*sigma;
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wV2i=abs(imag(V2measurement)).*sigma;
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wI2r=abs(real(I2measurement)).*sigma;
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wI2i=abs(imag(I2measurement)).*sigma;
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% [ V2r,V2i,I2r,I2i ]=IPMLoop(V2measurement,wV2r,wV2i,I2measurement,wI2r,wI2i,BalI2r,BalI2i,busNum,Loadi,fsY22,Balance,0 );
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% f=sum(([real(I2measurement);imag(I2measurement)]-[I2r;I2i]).^2)+sum((real(rV2)-V2r).^2)+sum((imag(rV2)-V2i).^2);
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% fprintf('目标值 %f\n',full(f));
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%% 算零序
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BalI0r=real(-sum(rIf0));
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BalI0i=imag(-sum(rIf0));
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%电压
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%制作量测量
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% mfsY00=fsY00;
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% mfsY00(:,Balance)=0;
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% mfsY00(Balance,:)=0;
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% mfsY00=mfsY00+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum);
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% rV0=inv(mfsY00)*(mIf0);
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% sigmaV0=normrnd(0,sigma,length(Loadi),1);
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% V0measurement=rV0(Loadi).*(1+sigmaV0);
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V0measurement=mfV0(Loadi);
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% wV0r=abs(real( rV0(Loadi).*sigmaV0 ));
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% wV0i=abs(imag( rV0(Loadi).*sigmaV0 ));
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% sigmaI0=normrnd(0,sigma,length(Loadi),1);
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% I0measurement=mIf0(Loadi).*(1+sigmaI0);%测量值是等效发电机电流
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I0measurement=mIf0(Loadi);
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% wI0r=abs( real(mIf0(Loadi).*sigmaI0) );
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% wI0i=abs( imag(mIf0(Loadi).*sigmaI0) );
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%零序误差的第二种形式
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wV0r=abs(real(V0measurement)).*sigma;
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wV0i=abs(imag(V0measurement)).*sigma;
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wI0r=abs(real(I0measurement)).*sigma;
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wI0r(abs(wI0r)<1e-5)=1e10;
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wI0i=abs(imag(I0measurement)).*sigma;
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% matlabpool local 3
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tic
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for II=1:3
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if II==1
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fprintf('正序\n');
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[ V1r,V1i,I1r,I1i,isConverged1 ]=IPMLoop(V1measurement,wV1r,wV1i,I1measurement,wI1r,wI1i,BalI1r,BalI1i,busNum,Loadi,fsY11,Balance,1 );
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end
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if II==2
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fprintf('负序\n');
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[ V2r,V2i,I2r,I2i,isConverged2 ]=IPMLoop(V2measurement,wV2r,wV2i,I2measurement,wI2r,wI2i,BalI2r,BalI2i,busNum,Loadi,fsY22,Balance,0 );
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end
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if II==3
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fprintf('零序\n');
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[ V0r,V0i,I0r,I0i,isConverged0 ]=IPMLoop(V0measurement,wV0r,wV0i,I0measurement,wI0r,wI0i,BalI0r,BalI0i,busNum,Loadi,fsY00,Balance,0 );
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end
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end
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toc
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% matlabpool close
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% f=sum(([real(I0measurement);imag(I0measurement)]-[I0r;I0i]).^2)+sum((real(rV0)-V0r).^2)+sum((imag(rV0)-V0i).^2);
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% fprintf('目标值 %f\n',full(f));
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%% 把三序合成三相
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% 三相电压
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SEVf0=V0r+1j*V0i;
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SEVf1=V1r+1j*V1i;
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SEVf2=V2r+1j*V2i;
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SEVoltpABC=Tf2p*conj([ SEVf0'; SEVf1'; SEVf2']);
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% SEVoltpABC2=Tf2p*conj([ rV0'; rV1'; rV2']);
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% 三序电流
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SEIf0=I0r+1j*I0i;
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SEIf1=I1r+1j*I1i;
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SEIf2=I2r+1j*I2i;
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SEIpABC=full(Tf2p*conj([SEIf0';SEIf1(1:3)';SEIf2']));
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%看一下差多少
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VError=(full(abs(VoltpABC))-abs(SEVoltpABC))./abs(VoltpABC)*100;
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VError=reshape(VError,size(VError,1)*size(VError,2),1);
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% barPlot( VError, 10,['相对误差%'],['分布密度'],['电压幅值']);
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% 三相负荷
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rThreeLoad=[ phaseASpotLoadP'+1j*phaseASpotLoadQ';
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phaseBSpotLoadP'+1j*phaseBSpotLoadQ';
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phaseCSpotLoadP'+1j*phaseCSpotLoadQ';
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];
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% rThreeLoad=rThreeLoad(:,setxor(1:size(SEVoltpABC,2),Balance));
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SEThreeLoad=SEVoltpABC(:,setxor(1:size(SEVoltpABC,2),Balance)).*conj(-SEIpABC);
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% phaseLoadPError=real(rThreeLoad-SEThreeLoad)./real(rThreeLoad)*100;
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% phaseLoadQError=imag(rThreeLoad-SEThreeLoad)./imag(rThreeLoad)*100;
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% phaseLoadPError=reshape(phaseLoadPError,size(phaseLoadPError,1)*size(phaseLoadPError,2),1);
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% phaseLoadQError=reshape(phaseLoadQError,size(phaseLoadQError,1)*size(phaseLoadQError,2),1);
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% figure()
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% barPlot( phaseLoadPError, 10,['相对误差%'],['分布密度'],['有功负荷误差']);
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% figure()
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% barPlot( phaseLoadQError, 10,'相对误差%','分布密度','无功负荷误差');
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%% 计算统计量
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%目标函数均值
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rVoltABCV=conj([VoltpA';VoltpC';VoltpC']);
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mVoltABCV=conj([mVoltpA';mVoltpB';mVoltpC']);
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rPD3P=real([ phaseASpotLoadP'+1j*phaseASpotLoadQ';
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phaseBSpotLoadP'+1j*phaseBSpotLoadQ';
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phaseCSpotLoadP'+1j*phaseCSpotLoadQ';
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]);
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rPD3P=rPD3P(:,Loadi);
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mPD3P=real([ mphaseASpotLoadP'+1j*mphaseASpotLoadQ';
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mphaseBSpotLoadP'+1j*mphaseBSpotLoadQ';
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mphaseCSpotLoadP'+1j*mphaseCSpotLoadQ';
|
||
]);
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mPD3P=mPD3P(:,Loadi);
|
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PD3P=real(SEThreeLoad);
|
||
rQD3P=imag([ phaseASpotLoadP'+1j*phaseASpotLoadQ';
|
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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
|
||
%有PD，QD的
|
||
SEMeasurement=sum(sum((( abs(rVoltABCV)-abs(SEVoltpABC) )./abs(mVoltABCV)./sigma).^2))+sum(sum(((rPD3P-PD3P)./mPD3P./sigma).^2))+sum(sum(((rQD3P-QD3P)./mQD3P./sigma).^2));
|
||
SEMeasurement=(SEMeasurement/mCount)^.5;
|
||
%没有PD，QD的
|
||
SEMeasurementNOPQ=sum(sum(((abs(rVoltABCV)-abs(SEVoltpABC))./abs(mVoltABCV)./sigma).^2));
|
||
SEMeasurementNOPQ=(SEMeasurementNOPQ/mCount)^.5;
|
||
%量测量质量
|
||
SEMeasurementM=sum(sum((( abs(rVoltABCV)-abs(mVoltABCV) )./abs(mVoltABCV)./sigma).^2))+sum(sum(((rPD3P-mPD3P)./mPD3P./sigma).^2))+sum(sum(((rQD3P-mQD3P)./mQD3P./sigma).^2));
|
||
SEMeasurementM=(SEMeasurementM/mCount)^.5;
|
||
%没有PD，QD的
|
||
SEMeasurementNOPQM=sum(sum((( abs(rVoltABCV)-abs(mVoltABCV))./abs(mVoltABCV)./sigma).^2));
|
||
SEMeasurementNOPQM=(SEMeasurementNOPQM/mCount)^.5;
|
||
%返回收敛信息
|
||
isConverged=isConverged1*isConverged2*isConverged0;
|
||
end |