不等式约束
Mat_G=[
sparse(PD(Loadi));
sparse(PD(Loadi))-0.001;
sparse(QD(Loadi));
sparse(QD(Loadi))-0.001;
Volt'-mVolt'-bigM*Vbi-0.03;
Volt'-mVolt'+bigM*Vbi+0.03;
Vbi;
PDbi;
QDbi;
];
Signed-off-by: dugg@lab-desk <dugg@lab-desk>
This commit is contained in:
parent
57d87a95ae
commit
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3
FormG.m
3
FormG.m
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@ -1,4 +1,4 @@
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function Mat_G=FormG(Volt,PD,QD,Loadi,bigM,mVolt,rVolt,sigma,Vbi,PDbi)
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function Mat_G=FormG(Volt,PD,QD,Loadi,bigM,mVolt,rVolt,sigma,Vbi,PDbi,QDbi)
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Mat_G=[
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sparse(PD(Loadi));
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@ -9,5 +9,6 @@ Mat_G=[
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Volt'-mVolt'+bigM*Vbi+0.03;
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Vbi;
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PDbi;
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QDbi;
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];
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end
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2
FormLw.m
2
FormLw.m
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@ -24,7 +24,7 @@ QDU(indQD(3:12:end))=1.55*realQD(indQD(3:12:end));
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QDU(indQD(9:12:end))=1.05*realQD(indQD(9:12:end));
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% PF=0.85;
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% QDU=1.0*PD(Loadi).*sqrt(1 -PF.^2)./PF;
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t1=([PDU',PDU',QDU',QDU',0*VoltU,100*ones(1,length(VoltU)),1*ones(1,Busnum+length(Loadi))])';
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t1=([PDU',PDU',QDU',QDU',0*VoltU,100*ones(1,length(VoltU)),1*ones(1,Busnum+length(Loadi)*2)])';
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t2=Mat_G+Init_U'-t1;
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Lw=t2;
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2
FormLz.m
2
FormLz.m
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@ -21,7 +21,7 @@ indQD=find(realQD>0);
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QDL(indQD(3:12:end))=0.95*realQD(indQD(3:12:end));
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QDL(indQD(9:12:end))=0.95*realQD(indQD(9:12:end));
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% QDL=0*PD(Loadi).*sqrt((1-PF.^2))./PF;
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t1=([PDL',PDL',QDL',QDL',-100*ones(1,length(VoltL)),0*VoltL,0*ones(1,Busnum+length(Loadi))])';
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t1=([PDL',PDL',QDL',QDL',-100*ones(1,length(VoltL)),0*VoltL,0*ones(1,Busnum+length(Loadi)*2)])';
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t2=Mat_G-Init_L'-t1;
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Lz=t2;
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@ -1,4 +1,4 @@
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function [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD,QD,Vbi,PDbi]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,Volt,UAngel,PVi,ContrlCount,Balance,Busnum,PGi,PD,QD,Loadi,Vbi,PDbi)
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function [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD,QD,Vbi,PDbi,QDbi]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,Volt,UAngel,PVi,ContrlCount,Balance,Busnum,PGi,PD,QD,Loadi,Vbi,PDbi,QDbi)
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AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU);
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%fprintf('AlphaP %f\n',full(AlphaP));
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AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW);
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@ -25,5 +25,6 @@ Volt=Volt+AlphaP*t(1:Busnum);
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Volt(Balance)=balVolt;
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UAngel=UAngel+AlphaP*t(Busnum+1:2*Busnum);
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Vbi=Vbi+AlphaP*t(2*Busnum+1:2*Busnum+Busnum)';
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PDbi=PDbi+AlphaP*t(3*Busnum+1:end)';
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PDbi=PDbi+AlphaP*t(3*Busnum+1:3*Busnum+length(Loadi))';
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QDbi=QDbi+AlphaP*t(3*Busnum+length(Loadi)+1:end)';
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end
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7
OPF.m
7
OPF.m
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@ -45,7 +45,7 @@ RealQD=QD0;
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Gap=(Init_L*Init_Z'-Init_U*Init_W');
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KK=0;
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plotGap=zeros(1,60);
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ContrlCount=size(Loadi,1)*2+Busnum*2+Busnum+length(Loadi);
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ContrlCount=size(Loadi,1)*2+Busnum*2+Busnum+length(Loadi)*2;
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kmax=60;
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Precision=Precision/1;
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%% 加误差
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@ -56,6 +56,7 @@ mVolt=rVolt.*(1+normrnd(0,sigma,length(rVolt),1))';
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bigM=10;
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Vbi=sparse(ones(Busnum,1));
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PDbi=sparse(ones(length(Loadi),1));
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QDbi=sparse(ones(length(Loadi),1));
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while(abs(Gap)>Precision)
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if KK>kmax
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break;
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@ -82,7 +83,7 @@ while(abs(Gap)>Precision)
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%% 形成方程矩阵
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Luu=Init_U'.*Init_W'+Init_u*ones(RestraintCount,1);
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Lul=Init_L'.*Init_Z'-Init_u*ones(RestraintCount,1);
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Mat_G=FormG(Volt,PD,QD,Loadi,bigM,mVolt,rVolt,sigma,Vbi,PDbi);
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Mat_G=FormG(Volt,PD,QD,Loadi,bigM,mVolt,rVolt,sigma,Vbi,PDbi,QDbi);
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Mat_H=FormH(Busnum,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle,Loadi);
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Ly=Mat_H;
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Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL,PD,RealPD,RealQD,Loadi,KK,PF);
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@ -94,7 +95,7 @@ while(abs(Gap)>Precision)
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XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,RestraintCount,Lx,Balance,PVi,PGi,Busnum,Loadi);
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%%取各分量
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[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX,ContrlCount,RestraintCount,Busnum);
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[Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD,QD,Vbi,PDbi]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,Volt,UAngel,PVi,ContrlCount,Balance,Busnum,PGi,PD,QD,Loadi,Vbi,PDbi);
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[Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD,QD,Vbi,PDbi,QDbi]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,Volt,UAngel,PVi,ContrlCount,Balance,Busnum,PGi,PD,QD,Loadi,Vbi,PDbi,QDbi);
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Gap=(Init_L*Init_Z'-Init_U*Init_W');
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KK=KK+1;
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end
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@ -1,7 +1,7 @@
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function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wPG,wQG,wPD,wQD,PD,PD0,QD,randPDind,Loadi]=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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%Loadi=[1:Busnum]';
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RestraintCount=size(Loadi,1)*4+Busnum*2+Busnum+length(Loadi)*1; %约束条件数,放开所有QD
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RestraintCount=size(Loadi,1)*4+Busnum*2+Busnum+length(Loadi)*2; %约束条件数,放开所有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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@ -51,7 +51,7 @@ t=[ddPdVdV+ddQdVdV,ddPdVdT+ddQdVdT;
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sizeLoadi=size(Loadi,1)*2;
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ddh=[
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sparse(sizeLoadi,ContrlCount);
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sparse(2*Busnum,sizeLoadi),-t,sparse(2*Busnum,Busnum+length(Loadi));
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sparse(Busnum+length(Loadi),ContrlCount);
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sparse(2*Busnum,sizeLoadi),-t,sparse(2*Busnum,Busnum+length(Loadi)*2);
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sparse(Busnum+length(Loadi)*2,ContrlCount);
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];
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end
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@ -4,6 +4,7 @@ deltF=[sparse(length(Loadi),1);
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sparse(2*Busnum,1);
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sparse(ones(Busnum,1));
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sparse(ones(length(Loadi),1));
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sparse(ones(length(Loadi),1))
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];
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end
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26
func_deltG.m
26
func_deltG.m
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@ -10,6 +10,7 @@ dg5_dPD=sparse(size(Loadi,1),Busnum);
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dg6_dPD=dg5_dPD;
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dg7_dPD=sparse(sizeLoadi,Busnum);
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dgPDbi_dPD=sparse(sizeLoadi,sizeLoadi);
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dgQDbi_dPD=sparse(sizeLoadi,sizeLoadi);
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%%
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dg3_dQD=sparse(length(Loadi),length(Loadi));
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dg32_dQD=dg3_dQD;
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@ -19,6 +20,7 @@ dg5_dQD=sparse(size(Loadi,1),Busnum);
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dg6_dQD=dg5_dQD;
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dg7_dQD=sparse(sizeLoadi,Busnum);
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dgPDbi_dQD=sparse(sizeLoadi,sizeLoadi);
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dgQDbi_dQD=sparse(sizeLoadi,sizeLoadi);
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%%
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dg3_dx=sparse(2*Busnum,sizeLoadi);
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dg32_dx=dg3_dx;
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@ -30,6 +32,7 @@ dg5_dx=[sparse(1:Busnum,1:Busnum,ones(Busnum,1),Busnum,Busnum);
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dg6_dx=dg5_dx;
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dg7_dx=sparse(2*Busnum,Busnum);
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dgPDbi_dx=sparse(2*Busnum,sizeLoadi);
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dgQDbi_dx=sparse(2*Busnum,sizeLoadi);
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%%
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dg3_dvbi=sparse(Busnum,sizeLoadi);
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dg32_dvbi=dg3_dvbi;
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@ -39,6 +42,7 @@ dg5_dvbi=sparse(-eye(Busnum,Busnum));
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dg6_dvbi=sparse(eye(Busnum,Busnum));
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dg7_dvbi=sparse(eye(Busnum,Busnum));
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dgPDbi_dvbi=sparse(Busnum,sizeLoadi);
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dgQDbi_dvbi=sparse(Busnum,sizeLoadi);
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%%
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dg3_dPDbi=sparse(-zeros(sizeLoadi));
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dg32_dPDbi=sparse(zeros(sizeLoadi));
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@ -48,12 +52,24 @@ dg5_dPDbi=sparse(length(Loadi),Busnum);
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dg6_dPDbi=sparse(length(Loadi),Busnum);
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dg7_dPDbi=sparse(length(Loadi),Busnum);
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dgPDbi_dPDbi=sparse(eye(length(Loadi)));
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dgQDbi_dPDbi=sparse(zeros(length(Loadi)));
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%%
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deltG=[dg3_dPD,dg32_dPD,dg4_dPD,dg42_dPD,dg5_dPD,dg6_dPD,dg7_dPD,dgPDbi_dPD;
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dg3_dQD,dg32_dQD,dg4_dQD,dg42_dQD,dg5_dQD,dg6_dQD,dg7_dQD,dgPDbi_dQD;
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dg3_dx,dg32_dx,dg4_dx,dg42_dx,dg5_dx,dg6_dx,dg7_dx,dgPDbi_dx;
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dg3_dvbi,dg32_dvbi,dg4_dvbi,dg42_dvbi,dg5_dvbi,dg6_dvbi,dg7_dvbi,dgPDbi_dvbi;
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dg3_dPDbi,dg32_dPDbi,dg4_dPDbi,dg42_dPDbi,dg5_dPDbi,dg6_dPDbi,dg7_dPDbi,dgPDbi_dPDbi;
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dg3_dQDbi=sparse(-zeros(sizeLoadi));
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dg32_dQDbi=sparse(zeros(sizeLoadi));
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dg4_dQDbi=sparse(length(Loadi),length(Loadi));
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dg42_dQDbi=dg4_dPDbi;
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dg5_dQDbi=sparse(length(Loadi),Busnum);
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dg6_dQDbi=sparse(length(Loadi),Busnum);
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dg7_dQDbi=sparse(length(Loadi),Busnum);
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dgPDbi_dQDbi=sparse(zeros(length(Loadi)));
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dgQDbi_dQDbi=sparse(eye(length(Loadi)));
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%%
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deltG=[dg3_dPD,dg32_dPD,dg4_dPD,dg42_dPD,dg5_dPD,dg6_dPD,dg7_dPD,dgPDbi_dPD,dgQDbi_dPD;
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dg3_dQD,dg32_dQD,dg4_dQD,dg42_dQD,dg5_dQD,dg6_dQD,dg7_dQD,dgPDbi_dQD,dgQDbi_dQD;
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dg3_dx,dg32_dx,dg4_dx,dg42_dx,dg5_dx,dg6_dx,dg7_dx,dgPDbi_dx,dgQDbi_dx;
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dg3_dvbi,dg32_dvbi,dg4_dvbi,dg42_dvbi,dg5_dvbi,dg6_dvbi,dg7_dvbi,dgPDbi_dvbi,dgQDbi_dvbi;
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dg3_dPDbi,dg32_dPDbi,dg4_dPDbi,dg42_dPDbi,dg5_dPDbi,dg6_dPDbi,dg7_dPDbi,dgPDbi_dPDbi,dgQDbi_dPDbi;
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dg3_dQDbi,dg32_dQDbi,dg4_dQDbi,dg42_dQDbi,dg5_dQDbi,dg6_dQDbi,dg7_dQDbi,dgPDbi_dQDbi,dgQDbi_dQDbi;
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];
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end
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@ -4,6 +4,7 @@ dH_dQD=[sparse(size(Loadi,1),Busnum) sparse(1:size(Loadi,1),Loadi,-ones(size(Loa
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dH_dx = jacobian_M(Busnum,Volt,Y,Angle,UAngel,r,c); %形成雅克比矩阵
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dH_dvbi=sparse(Busnum,2*Busnum);
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dH_dPDbi=sparse(length(Loadi),2*Busnum);
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deltH=[dH_dPD;dH_dQD;dH_dx';dH_dvbi;dH_dPDbi];
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dH_dQDbi=sparse(length(Loadi),2*Busnum);
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deltH=[dH_dPD;dH_dQD;dH_dx';dH_dvbi;dH_dPDbi;dH_dQDbi];
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end
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