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Mat_G=[ 

sparse(PD(Loadi))-mPD(Loadi)-bigM*PDbi-0.1;
    sparse(PD(Loadi))-mPD(Loadi)+bigM*PDbi+0.1;
    sparse(QD(Loadi))-mQD(Loadi)-bigM*QDbi-0.1;
    sparse(QD(Loadi))-mQD(Loadi)+bigM*QDbi+0.1;
    Volt'-mVolt'-bigM*Vbi-0.03;
    Volt'-mVolt'+bigM*Vbi+0.03;
    Vbi;
    PDbi;
    QDbi;
    (1-Vbi).*Vbi;
    ];
This commit is contained in:
dugg@lab-desk 2014-05-22 10:24:34 +08:00
parent 305f059cf6
commit 40c0a6706f
8 changed files with 40 additions and 15 deletions
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1
FormG.m
View File

@ -10,5 +10,6 @@ Mat_G=[
Vbi; Vbi;
PDbi; PDbi;
QDbi; QDbi;
(1-Vbi).*Vbi;
]; ];
end end

3
FormLw.m
View File

@ -25,6 +25,9 @@ QDU(indQD(9:12:end))=1.05*realQD(indQD(9:12:end));
% PF=0.85; % PF=0.85;
% QDU=1.0*PD(Loadi).*sqrt(1 -PF.^2)./PF; % QDU=1.0*PD(Loadi).*sqrt(1 -PF.^2)./PF;
t1=([0*PDU',100*ones(1,length(PDU)),0*QDU',100*ones(1,length(QDU)),0*VoltU,100*ones(1,length(VoltU)),1*ones(1,Busnum+length(Loadi)*2)])'; t1=([0*PDU',100*ones(1,length(PDU)),0*QDU',100*ones(1,length(QDU)),0*VoltU,100*ones(1,length(VoltU)),1*ones(1,Busnum+length(Loadi)*2)])';
t1=[t1;
sparse(ones(Busnum,1));
];
t2=Mat_G+Init_U'-t1; t2=Mat_G+Init_U'-t1;
Lw=t2; Lw=t2;

3
FormLz.m
View File

@ -22,6 +22,9 @@ QDL(indQD(3:12:end))=0.95*realQD(indQD(3:12:end));
QDL(indQD(9:12:end))=0.95*realQD(indQD(9:12:end)); QDL(indQD(9:12:end))=0.95*realQD(indQD(9:12:end));
% QDL=0*PD(Loadi).*sqrt((1-PF.^2))./PF; % QDL=0*PD(Loadi).*sqrt((1-PF.^2))./PF;
t1=([-100*ones(1,length(PDL)),0*PDL',-100*ones(1,length(QDL)),0*QDL',-100*ones(1,length(VoltL)),0*VoltL,0*ones(1,Busnum+length(Loadi)*2)])'; t1=([-100*ones(1,length(PDL)),0*PDL',-100*ones(1,length(QDL)),0*QDL',-100*ones(1,length(VoltL)),0*VoltL,0*ones(1,Busnum+length(Loadi)*2)])';
t1=[t1;
sparse(0*ones(Busnum,1));
];
t2=Mat_G-Init_L'-t1; t2=Mat_G-Init_L'-t1;
Lz=t2; Lz=t2;

6
OPF.m
View File

@ -70,7 +70,7 @@ while(abs(Gap)>Precision)
%% 形成等式约束的雅克比 %% 形成等式约束的雅克比
deltH=func_deltH(Busnum,Volt,PVi,Y,PGi,UAngel,r,c,Angle,Loadi); deltH=func_deltH(Busnum,Volt,PVi,Y,PGi,UAngel,r,c,Angle,Loadi);
%% 形成不等式约束的雅克比 %% 形成不等式约束的雅克比
deltG=func_deltG(Busnum,PVi,PGi,Loadi,PD,QD); deltG=func_deltG(Busnum,PVi,PGi,Loadi,PD,QD,Vbi);
%% %%
L_1Z=diag(Init_Z./Init_L); L_1Z=diag(Init_Z./Init_L);
U_1W=diag(Init_W./Init_U); U_1W=diag(Init_W./Init_U);
@ -79,7 +79,7 @@ while(abs(Gap)>Precision)
%% 形成ddHy %% 形成ddHy
ddh=func_ddh(Volt,Init_Y,Busnum,PVi,PGi,Y,UAngel,r,c,Angle,Loadi,ContrlCount); ddh=func_ddh(Volt,Init_Y,Busnum,PVi,PGi,Y,UAngel,r,c,Angle,Loadi,ContrlCount);
%% 开始构建ddg %% 开始构建ddg
ddg=func_ddg(PGi,PVi,Busnum,RestraintCount,Loadi,PD,QD); ddgzw=func_ddg(PGi,PVi,Busnum,ContrlCount,RestraintCount,Loadi,PD,QD,Init_Z,Init_W);
%% 开始构建deltF %% 开始构建deltF
deltF=func_deltF(PG,QG,PVi,PGi,wPG,wQG,wPD,wQD,PG0,QG0,PD0,PD,QD,QD0,Busnum,Loadi); deltF=func_deltF(PG,QG,PVi,PGi,wPG,wQG,wPD,wQD,PG0,QG0,PD0,PD,QD,QD0,Busnum,Loadi);
%% 形成方程矩阵 %% 形成方程矩阵
@ -94,7 +94,7 @@ while(abs(Gap)>Precision)
YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx); YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx);
%% 开始解方程 %% 开始解方程
fprintf('迭代次数 %d Gap %f\n',KK+1,plotGap(KK+1)); 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,RestraintCount,Lx,Balance,PVi,PGi,Busnum,Loadi); XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddgzw,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,RestraintCount,Lx,Balance,PVi,PGi,Busnum,Loadi);
%%取各分量 %%取各分量
[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX,ContrlCount,RestraintCount,Busnum); [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,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); [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);

2
OPF_Init.m
View File

@ -2,6 +2,8 @@ function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wP
Loadi=find(QD~=0 | PD~=0); Loadi=find(QD~=0 | PD~=0);
%Loadi=[1:Busnum]'; %Loadi=[1:Busnum]';
RestraintCount=size(Loadi,1)*4+Busnum*2+Busnum+length(Loadi)*2; %约束条件数,放开所有QD RestraintCount=size(Loadi,1)*4+Busnum*2+Busnum+length(Loadi)*2; %约束条件数,放开所有QD
%互补约束数量
RestraintCount=RestraintCount+Busnum;
t_Bal_volt=Volt(Balance); t_Bal_volt=Volt(Balance);
Volt=sparse(1*ones(1,Busnum)); Volt=sparse(1*ones(1,Busnum));
Volt(Balance)=t_Bal_volt; Volt(Balance)=t_Bal_volt;

4
SolveIt.m
View File

@ -1,6 +1,6 @@
function 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) function XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddgzw,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,RestraintCount,Lx,Balance,PVi,PGi,Busnum,Loadi)
LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw,Lx); LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw,Lx);
H=-deltdeltF+ddh; H=-(deltdeltF-ddh-ddgzw);
%t1=diag(Init_L.\Init_Z-Init_U.\Init_W); %t1=diag(Init_L.\Init_Z-Init_U.\Init_W);
t1=diag(Init_Z./Init_L-Init_W./Init_U); t1=diag(Init_Z./Init_L-Init_W./Init_U);
t2=-deltG*( t1 )*deltG'; t2=-deltG*( t1 )*deltG';

10
func_ddg.m
View File

@ -1,4 +1,8 @@
function ddg=func_ddg(PGi,PVi,Busnum,RestraintCount,Loadi,PD,QD) function ddgzw=func_ddg(PGi,PVi,Busnum,ContrlCount,RestraintCount,Loadi,PD,QD,Init_Z,Init_W)
CCVbiZW=Init_Z(length(Loadi)*4+Busnum*2+1:length(Loadi)*4+Busnum*2+Busnum)+Init_W(length(Loadi)*4+Busnum*2+1:length(Loadi)*4+Busnum*2+Busnum);
ddg=0; ddgzw=[
sparse(length(Loadi)*2+Busnum*2,ContrlCount);
sparse(Busnum,length(Loadi)*2+Busnum*2),sparse(-2*eye(Busnum))*diag(CCVbiZW),sparse(Busnum,length(Loadi)*2);
sparse(length(Loadi)*2,ContrlCount);
];
end end

26
func_deltG.m
View File

@ -1,4 +1,4 @@
function deltG=func_deltG(Busnum,PVi,PGi,Loadi,PD,QD) function deltG=func_deltG(Busnum,PVi,PGi,Loadi,PD,QD,Vbi)
sizeLoadi=size(Loadi,1); sizeLoadi=size(Loadi,1);
%dg3 PD-M*b-t-PD0 %dg3 PD-M*b-t-PD0
dg3_dPD=sparse(1:size(Loadi,1),1:size(Loadi,1),ones(size(Loadi,1),1),size(Loadi,1),size(Loadi,1)); dg3_dPD=sparse(1:size(Loadi,1),1:size(Loadi,1),ones(size(Loadi,1),1),size(Loadi,1),size(Loadi,1));
@ -11,6 +11,8 @@ dg6_dPD=dg5_dPD;
dg7_dPD=sparse(sizeLoadi,Busnum); dg7_dPD=sparse(sizeLoadi,Busnum);
dgPDbi_dPD=sparse(sizeLoadi,sizeLoadi); dgPDbi_dPD=sparse(sizeLoadi,sizeLoadi);
dgQDbi_dPD=sparse(sizeLoadi,sizeLoadi); dgQDbi_dPD=sparse(sizeLoadi,sizeLoadi);
%互补约束
dgCCVbi_dPD=sparse(length(Loadi),Busnum);
%% %%
dg3_dQD=sparse(length(Loadi),length(Loadi)); dg3_dQD=sparse(length(Loadi),length(Loadi));
dg32_dQD=dg3_dQD; dg32_dQD=dg3_dQD;
@ -21,6 +23,8 @@ dg6_dQD=dg5_dQD;
dg7_dQD=sparse(sizeLoadi,Busnum); dg7_dQD=sparse(sizeLoadi,Busnum);
dgPDbi_dQD=sparse(sizeLoadi,sizeLoadi); dgPDbi_dQD=sparse(sizeLoadi,sizeLoadi);
dgQDbi_dQD=sparse(sizeLoadi,sizeLoadi); dgQDbi_dQD=sparse(sizeLoadi,sizeLoadi);
%互补约束
dgCCVbi_dQD=sparse(length(Loadi),Busnum);
%% %%
dg3_dx=sparse(2*Busnum,sizeLoadi); dg3_dx=sparse(2*Busnum,sizeLoadi);
dg32_dx=dg3_dx; dg32_dx=dg3_dx;
@ -33,6 +37,8 @@ dg6_dx=dg5_dx;
dg7_dx=sparse(2*Busnum,Busnum); dg7_dx=sparse(2*Busnum,Busnum);
dgPDbi_dx=sparse(2*Busnum,sizeLoadi); dgPDbi_dx=sparse(2*Busnum,sizeLoadi);
dgQDbi_dx=sparse(2*Busnum,sizeLoadi); dgQDbi_dx=sparse(2*Busnum,sizeLoadi);
%互补约束
dgCCVbi_dx=sparse(Busnum*2,Busnum);
%% %%
dg3_dvbi=sparse(Busnum,sizeLoadi); dg3_dvbi=sparse(Busnum,sizeLoadi);
dg32_dvbi=dg3_dvbi; dg32_dvbi=dg3_dvbi;
@ -43,6 +49,8 @@ dg6_dvbi=sparse(eye(Busnum,Busnum));
dg7_dvbi=sparse(eye(Busnum,Busnum)); dg7_dvbi=sparse(eye(Busnum,Busnum));
dgPDbi_dvbi=sparse(Busnum,sizeLoadi); dgPDbi_dvbi=sparse(Busnum,sizeLoadi);
dgQDbi_dvbi=sparse(Busnum,sizeLoadi); dgQDbi_dvbi=sparse(Busnum,sizeLoadi);
%互补约束
dgCCVbi_dvbi=sparse(diag(1-2*Vbi));%互补约束为(1-Vbi).*Vbi
%% %%
dg3_dPDbi=sparse(-eye(sizeLoadi)); dg3_dPDbi=sparse(-eye(sizeLoadi));
dg32_dPDbi=sparse(eye(sizeLoadi)); dg32_dPDbi=sparse(eye(sizeLoadi));
@ -53,6 +61,8 @@ dg6_dPDbi=sparse(length(Loadi),Busnum);
dg7_dPDbi=sparse(length(Loadi),Busnum); dg7_dPDbi=sparse(length(Loadi),Busnum);
dgPDbi_dPDbi=sparse(eye(length(Loadi))); dgPDbi_dPDbi=sparse(eye(length(Loadi)));
dgQDbi_dPDbi=sparse(zeros(length(Loadi))); dgQDbi_dPDbi=sparse(zeros(length(Loadi)));
%互补约束
dgCCVbi_dPDbi=sparse(length(Loadi),Busnum);
%% %%
dg3_dQDbi=sparse(-eye(sizeLoadi)); dg3_dQDbi=sparse(-eye(sizeLoadi));
dg32_dQDbi=sparse(eye(sizeLoadi)); dg32_dQDbi=sparse(eye(sizeLoadi));
@ -63,13 +73,15 @@ dg6_dQDbi=sparse(length(Loadi),Busnum);
dg7_dQDbi=sparse(length(Loadi),Busnum); dg7_dQDbi=sparse(length(Loadi),Busnum);
dgPDbi_dQDbi=sparse(zeros(length(Loadi))); dgPDbi_dQDbi=sparse(zeros(length(Loadi)));
dgQDbi_dQDbi=sparse(eye(length(Loadi))); dgQDbi_dQDbi=sparse(eye(length(Loadi)));
%互补约束
dgCCVbi_dQDbi=sparse(length(Loadi),Busnum);
%% %%
deltG=[dg3_dPD,dg32_dPD,dg4_dPD,dg42_dPD,dg5_dPD,dg6_dPD,dg7_dPD,dgPDbi_dPD,dgQDbi_dPD; deltG=[dg3_dPD,dg32_dPD,dg4_dPD,dg42_dPD,dg5_dPD,dg6_dPD,dg7_dPD,dgPDbi_dPD,dgQDbi_dPD,dgCCVbi_dPD;
dg3_dQD,dg32_dQD,dg4_dQD,dg42_dQD,dg5_dQD,dg6_dQD,dg7_dQD,dgPDbi_dQD,dgQDbi_dQD; dg3_dQD,dg32_dQD,dg4_dQD,dg42_dQD,dg5_dQD,dg6_dQD,dg7_dQD,dgPDbi_dQD,dgQDbi_dQD,dgCCVbi_dQD;
dg3_dx,dg32_dx,dg4_dx,dg42_dx,dg5_dx,dg6_dx,dg7_dx,dgPDbi_dx,dgQDbi_dx; dg3_dx,dg32_dx,dg4_dx,dg42_dx,dg5_dx,dg6_dx,dg7_dx,dgPDbi_dx,dgQDbi_dx,dgCCVbi_dx;
dg3_dvbi,dg32_dvbi,dg4_dvbi,dg42_dvbi,dg5_dvbi,dg6_dvbi,dg7_dvbi,dgPDbi_dvbi,dgQDbi_dvbi; dg3_dvbi,dg32_dvbi,dg4_dvbi,dg42_dvbi,dg5_dvbi,dg6_dvbi,dg7_dvbi,dgPDbi_dvbi,dgQDbi_dvbi,dgCCVbi_dvbi;
dg3_dPDbi,dg32_dPDbi,dg4_dPDbi,dg42_dPDbi,dg5_dPDbi,dg6_dPDbi,dg7_dPDbi,dgPDbi_dPDbi,dgQDbi_dPDbi; dg3_dPDbi,dg32_dPDbi,dg4_dPDbi,dg42_dPDbi,dg5_dPDbi,dg6_dPDbi,dg7_dPDbi,dgPDbi_dPDbi,dgQDbi_dPDbi,dgCCVbi_dPDbi;
dg3_dQDbi,dg32_dQDbi,dg4_dQDbi,dg42_dQDbi,dg5_dQDbi,dg6_dQDbi,dg7_dQDbi,dgPDbi_dQDbi,dgQDbi_dQDbi; dg3_dQDbi,dg32_dQDbi,dg4_dQDbi,dg42_dQDbi,dg5_dQDbi,dg6_dQDbi,dg7_dQDbi,dgPDbi_dQDbi,dgQDbi_dQDbi,dgCCVbi_dQDbi;
]; ];
end end