pes2014-wronglowervoltagebound/OPF.m

tic
clc
clear
%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
% <EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȵ<EFBFBD>λ<EFBFBD><EFBFBD>û<EFBFBD>п<EFBFBD><EFBFBD>ǣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>õı<EFBFBD><EFBFBD>ȶ<EFBFBD><EFBFBD><EFBFBD>1<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>û<EFBFBD><EFBFBD>Ӱ<EFBFBD>졣 20130123
%%
thesis=ForThesis(1,62);
[kmax,Precision,UAngel,Volt,Busnum,PVi,PVu,Balance,Y,Angle,P0,Q0,r,c,GB,Linei,Linej,Transfori,Transforj,GenU,GenL,GenC,PG,QG,PD,QD,CenterA,PGi,PVQU,PVQL,Liner,Linex,Lineb,Transforr,Transforx,Branchi,Branchg,Branchb,Transfork0]= ...
    pf('E:\<EFBFBD><EFBFBD><EFBFBD><EFBFBD>\<EFBFBD><EFBFBD><EFBFBD><EFBFBD>911_2751267_2012-09-05\newFIle9-2.txt');
%         pf('E:\<EFBFBD><EFBFBD><EFBFBD><EFBFBD>\<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>926_21671693_2012-09-06\newFIle16.txt');
%pf('D:\Project\<EFBFBD><EFBFBD><EFBFBD>㽵<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ŀ\<EFBFBD><EFBFBD>С<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>\<EFBFBD><EFBFBD>С<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>\ԭʼ\<EFBFBD><EFBFBD>ͷվ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>922<EFBFBD><EFBFBD>3-1<EFBFBD><EFBFBD>_0.5_120%.txt');
%pf('D:\Project\<EFBFBD><EFBFBD>С<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>\<EFBFBD><EFBFBD>С<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>\<EFBFBD>ɺ<EFBFBD>919.txt');
%pf('c:/file31.txt');
%% <EFBFBD><EFBFBD><EFBFBD>㹦<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Loadi=QD~=0 | PD~=0;
PF=sqrt(PD(Loadi).^2./(QD(Loadi).^2+PD(Loadi).^2));
%%
Volt;
UAngel*180/3.1415926;
%% ͨ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>PG
AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle',Busnum,Busnum);
PGBal=PD+diag(Volt)*Y.*cos(AngleIJ)*Volt';
QGBal=QD+diag(Volt)*Y.*sin(AngleIJ)*Volt';
%% <EFBFBD><EFBFBD>ֵ-<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
PG0=PG;
QG0=QG;
PD0=PD;
QD0=QD;
Volt0=Volt;
UAngel0=UAngel;
rVolt=Volt0;
%%
PG0(Balance)=PGBal(Balance);
PG(Balance)=PGBal(Balance);
QG0(Balance)=QGBal(Balance);
QG0(PVi)=QGBal(PVi);
QG(PVi)=QGBal(PVi);
%% <EFBFBD><EFBFBD>ʵֵ
RealPG=PG0;
RealQG=QG0;
RealPD=PD0;
RealQD=QD0;
%%
[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,RealPD,RealQD,QD,PD);
Gap=(Init_L*Init_Z'-Init_U*Init_W');
KK=0;
plotGap=zeros(1,60);
ContrlCount=size(Loadi,1)*2+Busnum*2+Busnum+length(Loadi)*2;
kmax=100;
Precision=Precision/1;
%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
sigma=0.01;
PD0(Loadi)=RealPD(Loadi).*(1+normrnd(0,sigma,length(Loadi),1));
QD0(Loadi)=RealQD(Loadi).*(1+normrnd(0,sigma,length(Loadi),1));
mVolt=rVolt.*(1+normrnd(0,sigma,length(rVolt),1))';
mPD=PD0;
mQD=QD0;
%<EFBFBD>ӹ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>½<EFBFBD>
lPD=RealPD*(1-3*sigma);
uPD=RealPD*(1+3*sigma);
lQD=RealQD*(1-3*sigma);
uQD=RealQD*(1+3*sigma);
lVolt=rVolt*(1-3*sigma);
uVolt=rVolt*(1+3*sigma);
%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
mVolt(2)=5;
bigM=10;
Vbi=sparse(0.5*ones(Busnum,1));
PDbi=sparse(0.5*ones(length(Loadi),1));
QDbi=sparse(0.5*ones(length(Loadi),1));
eps=10;
% <EFBFBD><EFBFBD>һ<EFBFBD>飬<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
fprintf('<EFBFBD><EFBFBD>1<EFBFBD>ε<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>\n');
while(abs(Gap)>Precision*1)
    if KK>kmax
        break;
    end
    plotGap(KK+1)=Gap;
    Init_u=Gap/2/RestraintCount*CenterA;
    AngleIJMat=0;
    %% <EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>OPF
    %% <EFBFBD>γɵ<EFBFBD>ʽԼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ſ˱<EFBFBD>
    deltH=func_deltH(Busnum,Volt,PVi,Y,PGi,UAngel,r,c,Angle,Loadi);
    %% <EFBFBD>γɲ<EFBFBD><EFBFBD><EFBFBD>ʽԼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ſ˱<EFBFBD>
    deltG=func_deltG(Busnum,PVi,PGi,Loadi,PD,QD,Vbi,PDbi,QDbi);
    %%
    L_1Z=diag(Init_Z./Init_L);
    U_1W=diag(Init_W./Init_U);
    %% <EFBFBD>γɺ<EFBFBD>ɭ<EFBFBD><EFBFBD>
    deltdeltF=func_deltdeltF(PVi,wPG,wQG,wPD,wQD,ContrlCount);
    %% <EFBFBD>γ<EFBFBD>ddHy
    ddh=func_ddh(Volt,Init_Y,Busnum,PVi,PGi,Y,UAngel,r,c,Angle,Loadi,ContrlCount);
    %%  <EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ddg
    ddgzw=func_ddg(Busnum,ContrlCount,Loadi,Init_Z,Init_W);
    %%  <EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>deltF
    deltF=func_deltF(PG,QG,PVi,PGi,wPG,wQG,wPD,wQD,PG0,QG0,PD0,PD,QD,QD0,Busnum,Loadi);
    %% <EFBFBD>γɷ<EFBFBD><EFBFBD>̾<EFBFBD><EFBFBD><EFBFBD>
    Luu=Init_U'.*Init_W'+Init_u*ones(RestraintCount,1);
    Lul=Init_L'.*Init_Z'-Init_u*ones(RestraintCount,1);
    Mat_G=FormG(Volt,PD,QD,Loadi,bigM,mVolt,rVolt,sigma,Vbi,PDbi,QDbi,mPD,mQD,uPD,lPD);
    Mat_H=FormH(Busnum,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle,Loadi);
    Ly=Mat_H;
    Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL,PD,RealPD,RealQD,Loadi,KK,PF,eps);
    Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU,PD,PD0,QD0,Loadi,KK,PF,eps);
    Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W);
    YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx);
    %% <EFBFBD><EFBFBD>ʼ<EFBFBD>ⷽ<EFBFBD><EFBFBD>
    fprintf('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> %d Gap %f\n',KK+1,plotGap(KK+1));
    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);
    %%ȡ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
    [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);
    Gap=(Init_L*Init_Z'-Init_U*Init_W');
    KK=KK+1;
end
% <EFBFBD>ڶ<EFBFBD><EFBFBD>飬<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɢ
Gap=1000;
KK=0;
fprintf('\n');
fprintf('<EFBFBD><EFBFBD>2<EFBFBD>ε<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɢ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>\n');
while(abs(Gap)>Precision*1)
    if KK>kmax
        break;
    end
    plotGap(KK+1)=Gap;
    Init_u=Gap/2/RestraintCount*CenterA;
    AngleIJMat=0;
    %% <EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>OPF
    %% <EFBFBD>γɵ<EFBFBD>ʽԼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ſ˱<EFBFBD>
    deltH=func_deltH(Busnum,Volt,PVi,Y,PGi,UAngel,r,c,Angle,Loadi);
    %% <EFBFBD>γɲ<EFBFBD><EFBFBD><EFBFBD>ʽԼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ſ˱<EFBFBD>
    deltG=func_deltG(Busnum,PVi,PGi,Loadi,PD,QD,Vbi,PDbi,QDbi);
    %%
    L_1Z=diag(Init_Z./Init_L);
    U_1W=diag(Init_W./Init_U);
    %% <EFBFBD>γɺ<EFBFBD>ɭ<EFBFBD><EFBFBD>
    deltdeltF=func_deltdeltF(PVi,wPG,wQG,wPD,wQD,ContrlCount);
    %% <EFBFBD>γ<EFBFBD>ddHy
    ddh=func_ddh(Volt,Init_Y,Busnum,PVi,PGi,Y,UAngel,r,c,Angle,Loadi,ContrlCount);
    %%  <EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ddg
    ddgzw=func_ddg(Busnum,ContrlCount,Loadi,Init_Z,Init_W);
    %%  <EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>deltF
    deltF=func_deltF(PG,QG,PVi,PGi,wPG,wQG,wPD,wQD,PG0,QG0,PD0,PD,QD,QD0,Busnum,Loadi);
    %% <EFBFBD>γɷ<EFBFBD><EFBFBD>̾<EFBFBD><EFBFBD><EFBFBD>
    Luu=Init_U'.*Init_W'+Init_u*ones(RestraintCount,1);
    Lul=Init_L'.*Init_Z'-Init_u*ones(RestraintCount,1);
    Mat_G=FormG(Volt,PD,QD,Loadi,bigM,mVolt,rVolt,sigma,Vbi,PDbi,QDbi,mPD,mQD);
    Mat_H=FormH(Busnum,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle,Loadi);
    Ly=Mat_H;
    if KK>8
        eps=eps*0.2;
        if abs(eps)<1e-6
            eps=1e-6;
        end
    end
    Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL,PD,RealPD,RealQD,Loadi,KK,PF,eps);
    Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU,PD,PD0,QD0,Loadi,KK,PF,eps);
    Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W);
    YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx);
    %% <EFBFBD><EFBFBD>ʼ<EFBFBD>ⷽ<EFBFBD><EFBFBD>
    fprintf('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> %d Gap %f\n',KK+1,plotGap(KK+1));
    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);
    %%ȡ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
    [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);
    Gap=(Init_L*Init_Z'-Init_U*Init_W');
    KK=KK+1;
end
toc
obj=sum(Vbi)+sum(PDbi)+sum(QDbi);
fprintf('Ŀ<EFBFBD>꺯<EFBFBD><EFBFBD>ֵ %.2f\n',full(obj));