parent
1e06fb7127
commit
a44f3beb9e
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@ -23,15 +23,37 @@ busNum=length(Volt0);
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VMatrix=sparse(r,c,VAngel(r)-VAngel(c)-Angel,busNum,busNum);
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dP=PG-PD_-diag(Volt)*(Y.*cos(VMatrix))*Volt;
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dQ=QG-QD_-diag(Volt)*(Y.*spfun(@sin,VMatrix))*Volt;
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output_args=[dP;dQ;VAngel(Balance)];
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output_args=[dP;dQ];
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%% 使用零注入begin
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% zeroInj=setdiff(1:busNum,union(Balance,union(PDi,QDi)));
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% output_args=[output_args(zeroInj);output_args(length(PDi)+zeroInj)];
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%% 使用零注入end
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%电压恒定
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output_args=[output_args;Volt(Balance)-1];
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%相角恒定
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output_args=[output_args;VAngel(Balance)];
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this.cu=zeros(length(output_args),1);
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this.cl=this.cu;
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%% 开始增加不等式约束-电压\PD\QD
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%电压不等式约束
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output_args=[output_args;Volt];
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this.cu=[this.cu;1.1*ones(length(Volt),1)];
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this.cl=[this.cl;0.9*ones(length(Volt),1)];
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%% PD
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rPD=this.rPD;
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output_args=[output_args;PD];
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this.cu=[this.cu;1.5*rPD];
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this.cl=[this.cl;0.5*rPD];
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%% QD
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rQD=this.rQD;
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output_args=[output_args;QD];
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this.cu=[this.cu;1.9*rQD];
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this.cl=[this.cl;0.9*rQD];
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%% 稠密化
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output_args=full(output_args);
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this.cu=zeros(length(output_args),1);
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this.cl=this.cu;
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%µçѹ
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this.cu=[this.cu;1.1];
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this.cl=this.cu;
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this.cu=full(this.cu);
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this.cl=full(this.cl);
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end
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@ -26,7 +26,7 @@ dQ=QG-QD_-diag(Volt)*(Y.*spfun(@sin,VMatrix))*Volt;
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output_args=[dP;dQ];
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%% 使用零注入begin
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% zeroInj=setdiff(1:busNum,union(Balance,union(PDi,QDi)));
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% output_args=[output_args(zeroInj);output_args(length(PDi)+zeroInj)];
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% output_args=[output_args(zeroInj);output_args(length(Volt0)+zeroInj)];
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%% 使用零注入end
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%电压恒定
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@ -38,8 +38,8 @@ this.cl=this.cu;
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%% 开始增加不等式约束-电压\PD\QD
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%电压不等式约束
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output_args=[output_args;Volt];
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this.cu=[this.cu;1.1*ones(length(Volt),1)];
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this.cl=[this.cl;0.9*ones(length(Volt),1)];
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this.cu=[this.cu;1.07*ones(length(Volt),1)];
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this.cl=[this.cl;0.93*ones(length(Volt),1)];
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%% PD
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rPD=this.rPD;
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output_args=[output_args;PD];
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@ -7,16 +7,28 @@ PD=x(1:length(PDi));
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QD=x(length(PDi)+1:length(PDi)+length(QDi));
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wPD=this.wPD;
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wQD=this.wQD;
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% wVolt=this.wVolt;
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PD0=this.PD0;
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QD0=this.QD0;
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t4=(wPD(PDi).*(PD-PD0(PDi))).^2;
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% t4=wPD(PDi).*((PD-PD0(PDi))./PD0(PDi)).^2;
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t5=(wQD(QDi).*(QD-QD0(QDi))).^2;
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% t5=wQD(QDi).*((QD-QD0(QDi))./QD0(QDi)).^2;
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Volt0=this.Volt0;
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SEVolt=x(length(PDi)+length(QDi)+1:length(PDi)+length(QDi)+length(Volt0));
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wVolt
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wVolt=this.wVolt;
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t6=(wVolt.*(SEVolt-Volt0)).^2;
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output_args=sum(t4)+sum(t5)+sum(t6);
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% t6=wVolt.*((SEVolt-Volt0)./Volt0).^2;
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Balance=this.Balance;
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t6(Balance)=0;%²»¼ÆËãÆ½ºâ½ÚµãµÄ
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t6(2:0)
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% µçÁ÷
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SEVAngel=x(length(PDi)+length(QDi)+length(SEVolt)+1:end);
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loadCurrent=LoadCurrent( SEVolt,SEVAngel,PD0(PDi),QD0(QDi),PDi,QDi );
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wLoadCurrent=this.wLoadCurrent;
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mLoadCurrent=this.mLoadCurrent;
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t7=(wLoadCurrent.*(loadCurrent-mLoadCurrent)).^2;
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t7=wLoadCurrent.*((loadCurrent-mLoadCurrent)./mLoadCurrent).^2;
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output_args=sum(t4)+sum(t5)+sum(t6)+sum(0);
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output_args=full(output_args);
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end
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18
@Opti/obj.m
18
@Opti/obj.m
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@ -7,24 +7,30 @@ PD=x(1:length(PDi));
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QD=x(length(PDi)+1:length(PDi)+length(QDi));
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wPD=this.wPD;
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wQD=this.wQD;
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% wVolt=this.wVolt;
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PD0=this.PD0;
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QD0=this.QD0;
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t4=(wPD(PDi).*(PD-PD0(PDi))).^2;
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t5=(wQD(QDi).*(QD-QD0(QDi))).^2;
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% t4=(wPD(PDi).*(PD-PD0(PDi))).^2;
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t4=wPD(PDi).*((PD-PD0(PDi))./PD0(PDi)).^2;
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% t5=(wQD(QDi).*(QD-QD0(QDi))).^2;
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t5=wQD(QDi).*((QD-QD0(QDi))./QD0(QDi)).^2;
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Volt0=this.Volt0;
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SEVolt=x(length(PDi)+length(QDi)+1:length(PDi)+length(QDi)+length(Volt0));
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wVolt=this.wVolt;
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t6=(wVolt.*(SEVolt-Volt0)).^2;
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% t6=(wVolt.*(SEVolt-Volt0)).^2;
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t6=wVolt.*((SEVolt-Volt0)./Volt0).^2;
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Balance=this.Balance;
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t6(Balance)=0;%不计算平衡节点的
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% xx=t6(8);
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% t6=xx;
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% t6(9:end)=0;
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% 电流
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SEVAngel=x(length(PDi)+length(QDi)+length(SEVolt)+1:end);
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loadCurrent=LoadCurrent( SEVolt,SEVAngel,PD0(PDi),QD0(QDi),PDi,QDi );
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wLoadCurrent=this.wLoadCurrent;
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mLoadCurrent=this.mLoadCurrent;
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t7=(wLoadCurrent.*(loadCurrent-mLoadCurrent)).^2;
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output_args=sum(t4)+sum(t5)+sum(t7);
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% t7=(wLoadCurrent.*(loadCurrent-mLoadCurrent)).^2;
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t7=wLoadCurrent.*((loadCurrent-mLoadCurrent)./mLoadCurrent).^2;
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output_args=sum(t4)+sum(t5)+sum(t6)+sum(0);
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output_args=full(output_args);
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end
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@ -1,6 +1,9 @@
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function [ output_args ] = LoadCurrent( Volt,PD,QD,PDi,QDi )
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function [ output_args ] = LoadCurrent( Volt,VAngel,PD,QD,PDi,QDi )
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%% ¼ÆË㸺ºÉµçÁ÷
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cmpVolt=Volt.*exp(1j*VAngel);
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% t1=real(conj((PD+1j*QD)./cmpVolt(PDi)));
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t1=real(conj((PD+1j*QD))./);
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output_args=t1;
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end
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@ -1,7 +1,8 @@
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function [ output_args ] = LoadCurrent( Volt,VAngel,PD,QD,PDi,QDi )
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%% ¼ÆË㸺ºÉµçÁ÷
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cmpVolt=Volt.*exp(1j*VAngel);
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t1=abs(conj((PD+1j*QD)./cmpVolt(PDi)));
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t1=real(conj((PD+1j*QD)./cmpVolt(PDi)));
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% t1=real(conj((PD+1j*QD)).*Volt(PDi));
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output_args=t1;
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end
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@ -5,7 +5,6 @@ t1=[rPD;rQD];
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t2=[PD;QD];
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t3=(t1(t1~=0)-double(t2(t1~=0)))./t1(t1~=0);
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t4=abs(t3);
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output_arg=max(t4);
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end
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@ -0,0 +1,52 @@
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function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wPG,wQG,wPD,wQD,wVolt,wLoadCurrent,PD,PD0,QD,randPDind,Loadi,notLoadi]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0,QD0,QD,PD)
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Loadi=find(QD~=0 | PD~=0);
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PDi=find(PD~=0);
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QDi=find(QD~=0);
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notLoadi=setdiff(1:Busnum,Loadi);
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PGOnly=setdiff(PGi,PDi);
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QGOnly=setdiff(PVi,QDi);
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PDOnly=setdiff(PDi,PGi);
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QDOnly=setdiff(QDi,PVi);
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PGPD=intersect(PDi,PGi);
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QGQD=intersect(QDi,PVi);
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noPGPDQGQD=setdiff(1:Busnum,union(union(PDi,PGi),union(QDi,PVi)));
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%Loadi=[1:Busnum]';
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RestraintCount=size(PVi,1)+size(PGi,1)+size(Loadi,1)*1+Busnum*1; %约束条件数,放开所有QD,不单独约束QD上下限
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RestraintCount=RestraintCount+length(Loadi); %加上功率因数,用功率因数约束QD
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t_Bal_volt=Volt(Balance);
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Volt=sparse(1*ones(1,Busnum));
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Volt(Balance)=t_Bal_volt;
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UAngel=sparse(1,Busnum);
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Init_Z=sparse(ones(1,RestraintCount));
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Init_W=sparse(-1*ones(1,RestraintCount));
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Init_L=1*sparse(ones(1,RestraintCount));
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Init_U=1*sparse(ones(1,RestraintCount));
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Init_Y=sparse(1,2*Busnum);%与学姐一致
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tPU=sparse(GenU(:,2));% 发电机有功上限
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tQU=sparse(PVQU(:,1));% 无功上限
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tPL=sparse(GenL(:,2));% 发电机有功下限
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tQL=sparse(PVQL(:,1));% 无功下限
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% PG(PGi)=(tPU+tPL)/2;
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% QG(PVi)=(tQU+tQL)/2;
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wPG=1*ones(size(PGi,1),1);
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wQG=1*ones(size(PVi,1),1);
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%randInt=randperm(size(Loadi,1));
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%randPDind=randInt(1:10);
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randPDind=0;
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wPD=1/0.05*zeros(length(PD),1);
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wPD(1:2:end)=0;
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wQD=1/0.05*zeros(length(QD),1);
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wQD(1:2:end)=0;
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wVolt=1/0.05*zeros(Busnum,1);
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wVolt(1:2:end)=0;
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wLoadCurrent=1/0.05*zeros(length(PDi),1);
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% wLoadCurrent(1:2:end)=0;
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%wD(randPDind)=0;%一些负荷不约束
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%wD(7)=0;
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% wD(11)=0;
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PD=1*PD0;
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%powerFacter=0.98;
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%QD=PD*sqrt((1-powerFacter^2)/powerFacter^2);
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QD=QD0;
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end
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17
OPF_Init.m
17
OPF_Init.m
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@ -34,11 +34,24 @@ wQG=1*ones(size(PVi,1),1);
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%randPDind=randInt(1:10);
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randPDind=0;
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wPD=1/0.05*ones(length(PD),1);
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% wPD(1:2:end)=0;
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wQD=1/0.05*ones(length(QD),1);
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% wQD(1:2:end)=0;
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wVolt=1/0.05*ones(Busnum,1);
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wLoadCurrent=1/0.05*ones(length(PDi),1);
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%% 70%
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% noLoad=[1;4;5;7;8;10;11;13;14;16;17;19;20;21];
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% wPD(noLoad)=0;
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% wQD(noLoad)=0;
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% wVolt(noLoad)=0;
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%% 50%
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% wPD(1:2:end)=0;
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% wQD(1:2:end)=0;
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% wVolt(1:2:end)=0;
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% wLoadCurrent(1:2:end)=0;
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%% 30%
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noLoad=[1;5;7;11;15;20];
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wPD(noLoad)=0;
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wQD(noLoad)=0;
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wVolt(noLoad)=0;
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%wD(randPDind)=0;%一些负荷不约束
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%wD(7)=0;
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% wD(11)=0;
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38
Run_YALMIP.m
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Run_YALMIP.m
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@ -6,7 +6,7 @@ tic
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[kmax,Precision,UAngel,Volt,Busnum,PVi,PVu,Balance,Y,Angle,P0,Q0,r,c,GB, ...
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Linei,Linej,Transfori,Transforj,GenU,GenL,GenC,PG,QG,PD,QD,CenterA,PGi,PVQU,PVQL, ...
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Liner,Linex,Lineb,Transforr,Transforx,Transfork0]= ...
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pf('E:/算例/新民Ⅰ906_2729823_2012-09-06/newFIle20.txt');
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pf('E:/算例/东际911_2751267_2012-09-05/newFIle20.txt');
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%% 潮流等式
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AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle',Busnum,Busnum);
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@ -42,31 +42,37 @@ rVolt=Volt';
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rVAngel=UAngel';
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BalVolt=Volt(Balance);
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[Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wPG,wQG,wPD,wQD,wVolt,wLoadCurrent,PD,PD0,QD,randPDind,Loadi,notLoadi]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0,QD0,QD,PD);
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%% 开始
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Busnum=length(Volt);
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PDi=find(PD~=0);
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QDi=find(QD~=0);
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%% 电流真实值
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rLoadCurrent=LoadCurrent( rVolt,rVAngel,rPD(PDi),rQD(QDi),PDi,QDi );
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%% 加噪音
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load('20PD0');
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load('20QD0');
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mPD=PD0;
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mQD=QD0;
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mVolt=(1+normrnd(0,0.05,length(rVolt),1)).*rVolt;
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load('PD0');
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load('QD0');
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load('mVolt');
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load('mLoadCurrent');
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% mVolt=(1+normrnd(0,0.05,length(rVolt),1)).*rVolt;
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% save('mVolt','mVolt');
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% PD0=(1+normrnd(0,0.05,length(PD0),1)).*PD0;
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% save('PD0','PD0');
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% QD0=(1+normrnd(0,0.05,length(QD0),1)).*QD0;
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% save('QD0','QD0');
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%% 电流测量值
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% mLoadCurrent=(1+normrnd(0,0.05,length(rLoadCurrent),1)).*rLoadCurrent;
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% save('mLoadCurrent','mLoadCurrent');
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mPD=PD0;
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mQD=QD0;
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%% 目标函数
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%% Opti Toolbox
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Busnum=length(Volt);
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PDi=find(PD~=0);
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QDi=find(QD~=0);
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% PD0=PD0(PDi);
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% QD0=QD0(QDi);
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%% 电流真实值
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rLoadCurrent=LoadCurrent( rVolt,rVAngel,rPD(PDi),rQD(QDi),PDi,QDi );
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%% 电流测量值
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mLoadCurrent=(1+normrnd(0,0.05,length(rLoadCurrent),1)).*rLoadCurrent;
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seOpti=Opti();
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seOpti=seOpti.init(mVolt,PDi,QDi,wPD,wQD,wVolt,wLoadCurrent,mPD,mQD,rPD(PDi),rQD(QDi),Y,Angle,r,c,PG,QG,Balance,mLoadCurrent);
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seOpti=seOpti.init(rVolt*1.005,PDi,QDi,wPD,wQD,wVolt,wLoadCurrent,mPD,mQD,rPD(PDi),rQD(QDi),Y,Angle,r,c,PG,QG,Balance,mLoadCurrent);
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opts = optiset('solver','ipopt');
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opts.maxiter=85500;
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opts.maxtime=30000;
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@ -76,7 +82,7 @@ opts.tolrfun=1e-4;
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opts.tolafun=1e-4;
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opts.warnings='all';
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opts.display='off';
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x0=[0.8*rPD(PDi);0.8*rQD(QDi); ...
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x0=[0.99*rPD(PDi);0.99*rQD(QDi); ...
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ones(length(Volt),1); ...
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zeros(length(Volt),1)];
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% x0=[PD(PDi);QD(QDi);xVolt';xUAngel'];
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@ -10,7 +10,7 @@ PDDev=(PDArray-PD0Array)/0.05;
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QDDev=(QDArray-QD0Array)/0.05;
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VoltDev=(SEVolt-rVolt)/0.05;
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VAngelDev=(SEVAngel-rVAngel)/0.05;
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wholeMat=[PDDev;QDDev;VoltDev;VAngelDev];
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wholeMat=[VoltDev;VAngelDev];
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t1=wholeMat.^2;
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t2=sum(t1,1);
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t3=t2/size(t1,1);
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