tic 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'); %% 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-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); [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)))) %% 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(PQi)*3,1); PQi3P(1:3:end)=(PQi-1)*3+1; PQi3P(2:3:end)=(PQi-1)*3+2; PQi3P(3:3:end)=(PQi-1)*3+3; PD3P=sparse(busNum*3,1); QD3P=sparse(busNum*3,1); PD3P(1:3:end)=phaseASpotLoadP; PD3P(2:3:end)=phaseBSpotLoadP; PD3P(3:3:end)=phaseCSpotLoadP; QD3P(1:3:end)=phaseASpotLoadQ; QD3P(2:3:end)=phaseBSpotLoadQ; QD3P(3:3:end)=phaseCSpotLoadQ; 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; 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); 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; Vp3a((Balance-1)*3+1)=0; Vp3a((Balance-1)*3+2)=-120/180*pi; Vp3a((Balance-1)*3+3)=+120/180*pi; Loadi=PQi3P; wPD=ones(length(Loadi),1); wQD=ones(length(Loadi),1); PD0=PD3P; QD0=QD3P; %% RestraintCount=size(Loadi,1)*2; %约束条件数,放开所有QD Init_Z=sparse(ones(1,RestraintCount)); Init_W=sparse(-1*ones(1,RestraintCount)); Init_L=1*sparse(ones(1,RestraintCount)); Init_U=1*sparse(ones(1,RestraintCount)); Init_Y=sparse(1,2*Busnum*3);%与学姐一致 Gap=(Init_L*Init_Z'-Init_U*Init_W'); KK=0; ContrlCount=size(Loadi,1)*2+Busnum*6; kmax=30; %% Precision=1e-5; CenterA=0.1; %% 加误差 Volt=Vp3m; UAngel=Vp3a; while(abs(Gap)>Precision) if KK>kmax break; end Init_u=Gap/2/RestraintCount*CenterA; AngleIJMat=0; %% 开始计算OPF %% 形成等式约束的雅克比 deltH=func_deltH(Busnum,Volt,Y,UAngel,r,c,Yangle,Loadi); %% 形成不等式约束的雅克比 deltG=func_deltG(Busnum,Loadi); %% L_1Z=diag(Init_Z./Init_L); U_1W=diag(Init_W./Init_U); %% 形成海森阵 deltdeltF=func_deltdeltF(wPD,wQD,ContrlCount); % deltdeltF=0; %% 形成ddHy ddh=func_ddh(Volt,Init_Y,Busnum,Y,UAngel,r,c,Yangle,Loadi,ContrlCount); %% 开始构建ddg % ddg=func_ddg(PGi,PVi,Busnum,RestraintCount,Loadi,PD,QD); ddg=0; %% 开始构建deltF deltF=func_deltF(wPD,wQD,PD0,PD3P,QD3P,QD0,Busnum,Loadi); % deltF=0; %% 形成方程矩阵 Luu=Init_U'.*Init_W'+Init_u*ones(RestraintCount,1); Lul=Init_L'.*Init_Z'-Init_u*ones(RestraintCount,1); Mat_G=FormG(PD3P,QD3P,Loadi); Mat_H=FormH(Busnum,Volt,PG3P,PD3P,QG3P,QD3P,Y,UAngel,r,c,Yangle); Ly=Mat_H; Lz=FormLz(Mat_G,Init_L,Loadi); Lw=FormLw(Mat_G,Init_U,Loadi); Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W); YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx); %% 开始解方程 % fprintf('迭代次数 %d Gap %f\n',KK+1,plotGap(KK+1)); XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,Lx,Balance,Busnum,Loadi); %%取各分量 [deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX,ContrlCount,RestraintCount,Busnum); [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD3P,QD3P]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG3P,QG3P,Volt,UAngel,ContrlCount,Balance,Busnum,PD3P,QD3P,Loadi); Gap=(Init_L*Init_Z'-Init_U*Init_W'); fprintf('%f\n',full(Gap)); KK=KK+1; end fprintf('迭代次数%d\n',KK); toc