154 lines
4.9 KiB
Matlab
154 lines
4.9 KiB
Matlab
clc
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clear
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lineZ=readLineZ('D:\share\feeder123\lineParameter.txt');
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[ fsY0, fsY1, fsY2,phaseASpotLoadP,phaseBSpotLoadP,phaseCSpotLoadP ...
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phaseASpotLoadQ,phaseBSpotLoadQ,phaseCSpotLoadQ,setIJ,nodeNum,Balance,phaseABCY]=dataRead(lineZ,'D:\share\feeder123\data.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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% Vf1=Vmf1.*exp(1j*Vaf1);
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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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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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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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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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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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tic
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while(k<=kmax && maxD> EPS)
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k=k+1;
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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,PD,QD,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((phaseASpotLoadP+1j*phaseASpotLoadQ)./VoltpA);
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VoltpB=conj(VoltpABC(2,:)');
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CurpB=-conj((phaseBSpotLoadP+1j*phaseBSpotLoadQ)./VoltpB);
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VoltpC=conj(VoltpABC(3,:)');
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CurpC=-conj((phaseCSpotLoadP+1j*phaseCSpotLoadQ)./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;
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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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fprintf('开始牛顿法迭代\n');
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%%用牛顿法求解
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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(PQi)*3,1);
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PQi3P(1:3:end)=(PQi-1)*3+1;
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PQi3P(2:3:end)=(PQi-1)*3+2;
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PQi3P(3:3:end)=(PQi-1)*3+3;
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PG=0;
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QG=0;
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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;
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PD3P(2:3:end)=phaseBSpotLoadP;
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PD3P(3:3:end)=phaseCSpotLoadP;
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QD3P(1:3:end)=phaseASpotLoadQ;
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QD3P(2:3:end)=phaseBSpotLoadQ;
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QD3P(3:3:end)=phaseCSpotLoadQ;
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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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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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k=0;
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maxD=10000;
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tic
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while(k<=kmax && maxD> EPS)
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k=k+1;
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[dP, dQ, YdotSinVolt, YdotCosVolt, diag_Volt_YdotSin, diag_Volt_YdotCos]=Unbalance(Balance3P,busNum*3, ...
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PQi3P,PG,QG,QGi3P,PD3P,QD3P,Vp3m,Vp3a,Y,Yangle,r,c,0,0,0,0);
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maxD=max(abs([dP;dQ;]));
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jaco=Jacobi(Balance3P,busNum*3,QGi3P,Vp3m,YdotSinVolt,YdotCosVolt,diag_Volt_YdotSin,diag_Volt_YdotCos);%雅克比矩阵
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[dV, dVangle]=Solv(busNum*3,jaco,dP,dQ);%解出修正量
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[Vp3m, Vp3a]=Modify(Vp3m,Vp3a,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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fprintf('迭代时间%f\n',toc);
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end
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NewtonToc=toc;
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fprintf('牛顿法计算时间 %f\n',NewtonToc);
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fprintf('加速比为%f\n',NewtonToc/FortiscueToc);
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