用内点法收敛了。但是之前用序分量算潮流的代码被破坏了,准备恢复一下。

Signed-off-by: dugg@lab-desk <dugg@lab-desk>
This commit is contained in:
dugg@lab-desk 2014-10-11 10:57:55 +08:00
parent 4daca01ca0
commit cfa77f98e3
11 changed files with 204 additions and 148 deletions

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@ -1,7 +1,6 @@
function Mat_G=FormG(Volt,PD,QD,Loadi)
function Mat_G=FormG(I1r,I1i)
Mat_G=[
PD(Loadi);
QD(Loadi);
Volt;
I1r;
I1i;
];
end

22
FormH.m
View File

@ -1,14 +1,24 @@
function Mat_H=FormH(Busnum,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle)
function Mat_H=FormH(fsY11,Loadi,V1r,V1i,I1r,I1i,BalI1r,BalI1i,Balance)
%%
%QDcos=textread('D:\Project\×îС»¯³±Á÷\×îС³±Á÷ËãÀý\Ïɺ£919PDQDglys.txt');
%QD(QD~=0)=PD(QD~=0)./tan(QDcos);
%QD(QD_NON_ZERO_IND)=QD_NON_ZERO;
%%
%PD(Loadi)=QD(Loadi)./tan(acos(0.98));
AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle,Busnum,Busnum);
dP=PG-PD-diag(Volt)*Y.*cos(AngleIJ)*Volt;
dQ=QG-QD-diag(Volt)*Y.*sin(AngleIJ)*Volt;
Mat_H=[dP;dQ;];
% AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle,Busnum,Busnum);
% dP=PG-PD-diag(Volt)*Y.*cos(AngleIJ)*Volt;
% dQ=QG-QD-diag(Volt)*Y.*sin(AngleIJ)*Volt;
%
% Mat_H=[dP;dQ;];
H=[
real(fsY11),-imag(fsY11);
imag(fsY11),real(fsY11);
];
busNum=length(fsY11);
% C=sparse(1:length(Loadi),Loadi,1,length(Loadi),busNum*2);
Mat_H=H*[V1r;V1i];
Mat_H=Mat_H+sparse(Loadi,1,-I1r,busNum*2,1)+sparse(Loadi+busNum,1,-I1i,busNum*2,1);
Mat_H(Balance)=Mat_H(Balance)-BalI1r;
Mat_H(Balance+busNum)=Mat_H(Balance+busNum)-BalI1i;
end

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@ -1,10 +1,12 @@
function Lw=FormLw(Mat_G,Init_U,Busnum,Loadi)
VoltU=sparse(1.2*ones(Busnum,1));
PDU=sparse(2*ones(length(Loadi),1));
QDU=sparse(2*ones(length(Loadi),1));
t1=[PDU;
QDU;
VoltU];
t2=Mat_G+Init_U-t1;
Lw=t2;
function Lw=FormLw(Loadi)
% VoltU=sparse(1.2*ones(Busnum,1));
% PDU=sparse(2*ones(length(Loadi),1));
% QDU=sparse(2*ones(length(Loadi),1));
% t1=[PDU;
% QDU;
% VoltU];
% t2=Mat_G+Init_U-t1;
% Lw=t2;
Lw=0.1*sparse(ones(length(Loadi)*2,1));
end

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@ -1,12 +1,12 @@
function Lz=FormLz(Mat_G,Init_L,Busnum,Loadi)
VoltL=sparse(0.8*ones(Busnum,1));
PDL=sparse(-2*ones(length(Loadi),1));
QDL=sparse(-2*ones(length(Loadi),1));
t1=[PDL;
QDL;
VoltL
];
t2=Mat_G-Init_L-t1;
Lz=t2;
function Lz=FormLz(Loadi)
% VoltL=sparse(0.8*ones(Busnum,1));
% PDL=sparse(-2*ones(length(Loadi),1));
% QDL=sparse(-2*ones(length(Loadi),1));
% t1=[PDL;
% QDL;
% VoltL
% ];
% t2=Mat_G-Init_L-t1;
% Lz=t2;
Lz=-0.1*sparse(ones(length(Loadi)*2,1));
end

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@ -1,4 +1,5 @@
function [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD,QD]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,Volt,UAngel,ContrlCount,Balance,Busnum,PD,QD,Loadi)
function [Init_Z,Init_L,Init_W,Init_U,Init_Y,V1r,V1i,I1r,I1i]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY, ...
V1r,V1i,I1r,I1i,ContrlCount,Balance,busNum,Loadi)
AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU);
AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW);
Init_Z=Init_Z+AlphaD*deltZ;
@ -6,13 +7,16 @@ Init_L=Init_L+AlphaP*deltL;
Init_W=Init_W+AlphaD*deltW;
Init_U=Init_U+AlphaP*deltU;
Init_Y=Init_Y+AlphaD*deltY;
t=deltX(1:size(Loadi,1)*2);
PD(Loadi)=PD(Loadi)+AlphaP*t(1:length(Loadi));
QD(Loadi)=QD(Loadi)+AlphaP*t(length(Loadi)+1:length(Loadi)*2);
t=deltX(size(Loadi,1)*2+1:ContrlCount);
t(Busnum+Balance)=0;
balVolt=Volt(Balance);
Volt=Volt+AlphaP*t(1:Busnum);
Volt(Balance)=balVolt;
UAngel=UAngel+AlphaP*t(Busnum+1:2*Busnum);
t=deltX(1:busNum*2);
V1r=V1r+AlphaP*t(1:busNum);
V1r(Balance)=1;
V1i=V1i+AlphaP*t(busNum+1:end);
V1i(Balance)=0;
t=deltX(busNum*2+1:ContrlCount);
I1r=I1r+AlphaP*t(1:length(Loadi));
I1i=I1i+AlphaP*t(length(Loadi)+1:end);
%balVolt=1;%Volt(Balance);
%Volt=Volt+AlphaP*t(1:Busnum);
%Volt(Balance)=balVolt;
%UAngel=UAngel+AlphaP*t(Busnum+1:2*Busnum);
end

View File

@ -8,14 +8,14 @@ aa=[
deltH',zeros(length(Init_Y));
];
yy=[LxComa;-Ly];
%%
t=size(Loadi,1)*2;
aa(t+Balance,:)=0;
aa(:,t+Balance)=0;
aa=aa+sparse(t+Balance,t+Balance,ones(length(Balance),1),ContrlCount+2*Busnum,ContrlCount+2*Busnum);
deltG(t+Balance,:)=0;
%%
t=size(Loadi,1)*2+Busnum*1;
%%
aa(Balance,:)=0;
aa(:,Balance)=0;
aa=aa+sparse(Balance,Balance,ones(length(Balance),1),ContrlCount+2*Busnum,ContrlCount+2*Busnum);
deltG(Balance,:)=0;
%%
t=Busnum*1;
aa(t+Balance,:)=0;
aa(:,t+Balance)=0;
aa=aa+sparse(t+Balance,t+Balance,ones(length(Balance),1),ContrlCount+2*Busnum,ContrlCount+2*Busnum);

View File

@ -1,8 +1,15 @@
function deltF=func_deltF(SEPD,ContrlCount)
t=sparse(ones(length(SEPD),1));
function deltF=func_deltF(measurement,busNum,fsY11,Loadi,V1r,V1i,I1r,I1i)
% H=[
% real(fsY11),-imag(fsY11),zeros(busNum,length(Loadi)*2);
% imag(fsY11),real(fsY11),zeros(busNum,length(Loadi)*2);
% zeros(length(Loadi),busNum*2), eye(length(Loadi)),zeros(length(Loadi));
% zeros(length(Loadi),busNum*2), zeros(length(Loadi)),eye(length(Loadi));
% ];
% X=[V1r;V1i;I1r;I1i];
% deltF=-H'*(measurement-H*X);
deltF=[
t;
sparse(ContrlCount-length(t),1);
zeros(busNum*2,1);
-2*( [real(measurement);imag(measurement)]-[I1r;I1i]);
];
% deltF=0;
end

View File

@ -1,22 +1,21 @@
function deltG=func_deltG(busNum,Loadi)
dgV_dPD=sparse(length(Loadi),busNum);
dgV_dQD=sparse(length(Loadi),busNum);
dgV_dx=[sparse(1:busNum,1:busNum,ones(busNum,1),busNum,busNum);
sparse(busNum,busNum);
];
%
dgPD_dPD=sparse(eye(length(Loadi)));
dgPD_dQD=sparse(length(Loadi),length(Loadi));
dgPD_dx=sparse(busNum*2,length(Loadi));
%
dgQD_dPD=sparse(length(Loadi),length(Loadi));
dgQD_dQD=sparse(eye(length(Loadi)));
dgQD_dx=sparse(busNum*2,length(Loadi));
%%
% dgV_dPD=sparse(length(Loadi),busNum);
% dgV_dQD=sparse(length(Loadi),busNum);
% dgV_dx=[sparse(1:busNum,1:busNum,ones(busNum,1),busNum,busNum);
% sparse(busNum,busNum);
% ];
% %
% dgPD_dPD=sparse(eye(length(Loadi)));
% dgPD_dQD=sparse(length(Loadi),length(Loadi));
% dgPD_dx=sparse(busNum*2,length(Loadi));
% %
% dgQD_dPD=sparse(length(Loadi),length(Loadi));
% dgQD_dQD=sparse(eye(length(Loadi)));
% dgQD_dx=sparse(busNum*2,length(Loadi));
% %%
deltG=[
dgPD_dPD,dgQD_dPD,dgV_dPD;
dgPD_dQD,dgQD_dQD,dgV_dQD;
dgPD_dx,dgQD_dx,dgV_dx;
zeros(busNum*2,length(Loadi)*2);
eye(length(Loadi)*2);
];
end

View File

@ -1,7 +1,18 @@
function deltH=func_deltH(Busnum,Volt,Y,UAngel,r,c,Angle,Loadi)
dH_dPD=[sparse(1:size(Loadi,1),Loadi,-ones(size(Loadi,1),1),size(Loadi,1),Busnum) sparse(size(Loadi,1),Busnum)];
dH_dQD=[sparse(size(Loadi,1),Busnum) sparse(1:size(Loadi,1),Loadi,-ones(size(Loadi,1),1),size(Loadi,1),Busnum)];
dH_dx = jacobian(Busnum,Volt,Y,Angle,UAngel,r,c); %
deltH=[dH_dPD;dH_dQD;dH_dx'];
function deltH=func_deltH(busNum,fsY11,Loadi,Balance)
% dH_dPD=[sparse(1:size(Loadi,1),Loadi,-ones(size(Loadi,1),1),size(Loadi,1),Busnum) sparse(size(Loadi,1),Busnum)];
% dH_dQD=[sparse(size(Loadi,1),Busnum) sparse(1:size(Loadi,1),Loadi,-ones(size(Loadi,1),1),size(Loadi,1),Busnum)];
% dH_dx = jacobian(Busnum,Volt,Y,Angle,UAngel,r,c); %ÐγÉÑſ˱ȾØÕó
% deltH=[dH_dPD;dH_dQD;dH_dx'];
H=[
real(fsY11),-imag(fsY11);
imag(fsY11),real(fsY11);
];
deltH=[
H';
sparse(1:length(Loadi),Loadi,-1,length(Loadi),busNum*2);
sparse(1:length(Loadi),Loadi+busNum,-1,length(Loadi),busNum*2);
%sparse(1:length(Balance),Balance,-1,1,busNum*2);
%sparse(1:length(Balance),Balance+busNum,-1,1,busNum*2);
];
end

View File

@ -1,6 +1,22 @@
function deltdeltF=func_deltdeltF(SEPD,ContrlCount)
function deltdeltF=func_deltdeltF(busNum,fsY11,Loadi)
% H=[
% real(fsY11),-imag(fsY11),zeros(busNum,length(Loadi)*2);
% imag(fsY11),real(fsY11),zeros(busNum,length(Loadi)*2);
% zeros(length(Loadi),busNum*2), eye(length(Loadi)),zeros(length(Loadi));
% zeros(length(Loadi),busNum*2), zeros(length(Loadi)),eye(length(Loadi));
% ];
% H=[
% real(fsY11),-imag(fsY11),zeros(busNum,length(Loadi)*2);
% imag(fsY11),real(fsY11),zeros(busNum,length(Loadi)*2);
% zeros(length(Loadi),busNum*2), eye(length(Loadi)),zeros(length(Loadi));
% zeros(length(Loadi),busNum*2), zeros(length(Loadi)),eye(length(Loadi));
% ];
% deltdeltF=H'*H;
deltdeltF=[
0*zeros(ContrlCount);
];
deltdeltF=0;
zeros(busNum*2,busNum*2+length(Loadi)*2);
zeros(length(Loadi)*2,busNum*2),2*eye(length(Loadi)*2);
];
% deltdeltF=0;
end

144
run.m
View File

@ -57,6 +57,8 @@ 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;
%
@ -81,51 +83,17 @@ while(k<=kmax && maxD> EPS)
If0=conj(f012(1,:)');
If1=conj(f012(2,:)');
If2=conj(f012(3,:)');
%
V012=Tp2f*conj([VoltpA';VoltpB';VoltpC']);
%
V0=conj(V012(1,:)');
V1=conj(V012(2,:)');
V2=conj(V012(3,:)');
%
fsY11*V1;
% fsY11*V1;
%
mIf0=If0;
mIf1=If1;
mIf1(3)=-mIf1(2);
% mIf1(1)=0.02;
% mIf1(3)=0.03;
Loadi=[ 1 2 3];
mIf2=If2;
%
fsY11=fsY11+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum);%01
% fsY11=fsY11+sparse(Balance,Balance,ones(length(Balance),1),busNum,bus
% Num);%01
%%
%
Z=[
-real(mIf1(Loadi));%-Z
-imag(mIf1(Loadi));%-Z
%
[1 1 1]';
];
H=fsY11(Loadi,:);
H=[
-real(H),imag(H),;
-imag(H),-real(H),;
eye(3),eye(3);
];
% J=fsY11(Loadi,:);
% J=[
% conj(-real(J))',-conj(imag(J))';
% conj(imag(J))',-conj(real(J))';
% ];
J=conj(H');
%J*Z+J*H*X=0 ->J*H*X=-J*Z
X=-inv(J*H)*J*Z;
% X=inv(conj(H)'*H)*conj(H)'*Z;
Xr=X(1:length(X)/2);
Xi=X(length(X)/2+1:end);
Xri=Xr+1j*Xi;
fsY11*Xri;
[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);%
maxD=max(abs([dP;dQ;]));
@ -224,28 +192,65 @@ fprintf('
% VoltpC=Vp3m(3:3:end).*exp(1j*Vp3a(3:3:end));
%% end
%%
%
iterPhaseASpotLoadP=phaseASpotLoadP;
iterPhaseBSpotLoadP=phaseBSpotLoadP;
iterPhaseCSpotLoadP=phaseCSpotLoadP;
iterPhaseASpotLoadQ=phaseASpotLoadQ;
iterPhaseBSpotLoadQ=phaseBSpotLoadQ;
iterPhaseCSpotLoadQ=phaseCSpotLoadQ;
%
CurpA=conj((iterPhaseASpotLoadP+1j*iterPhaseASpotLoadQ)./VoltpA);
CurpB=conj((iterPhaseBSpotLoadP+1j*iterPhaseBSpotLoadQ)./VoltpB);
CurpC=conj((iterPhaseCSpotLoadP+1j*iterPhaseCSpotLoadQ)./VoltpC);
%
f012=Tp2f*conj([CurpA';CurpB';CurpC']);
%
If0=conj(f012(1,:)');
If1=conj(f012(2,:)');
If2=conj(f012(3,:)');
%
% fsY11*V1;
%
mIf0=If0;
mIf1=-If1;
% mIf1(3)=-mIf1(2);
mIf2=If2;
% fsY11(:,Balance)=0;
% fsY11(Balance,:)=0;
% fsY11=fsY11+sparse(Balance,Balance,ones(length(Balance),1),busNum,busNum);
% mIf1(3)=1;
%
BalI1r=real(-sum(mIf1));
BalI1i=imag(-sum(mIf1));
inv(fsY11)*(mIf1);
V1r=1*ones(busNum,1);
V1i=1*ones(busNum,1);
I1r=0.01*ones(length(Loadi),1);%
I1i=0.01*ones(length(Loadi),1);%
measurement=-mIf1(2);
clear PD QD PG QG;
%
SEVoltpA=sparse(ones(busNum,1));
SEVoltpB=sparse(ones(busNum,1)).*exp(1j*-120/180*pi);
SEVoltpC=sparse(ones(busNum,1)).*exp(1j*+120/180*pi);
SEphaseASpotLoadP=zeros(length(phaseASpotLoadP),1);
SEphaseBSpotLoadP=zeros(length(phaseBSpotLoadP),1);
SEphaseCSpotLoadP=zeros(length(phaseCSpotLoadP),1);
SEphaseASpotLoadQ=zeros(length(phaseASpotLoadQ),1);
SEphaseBSpotLoadQ=zeros(length(phaseBSpotLoadQ),1);
SEphaseCSpotLoadQ=zeros(length(phaseCSpotLoadQ),1);
% SEVoltpA=sparse(ones(busNum,1));
% SEVoltpB=sparse(ones(busNum,1)).*exp(1j*-120/180*pi);
% SEVoltpC=sparse(ones(busNum,1)).*exp(1j*+120/180*pi);
% SEphaseASpotLoadP=zeros(length(phaseASpotLoadP),1);
% SEphaseBSpotLoadP=zeros(length(phaseBSpotLoadP),1);
% SEphaseCSpotLoadP=zeros(length(phaseCSpotLoadP),1);
% SEphaseASpotLoadQ=zeros(length(phaseASpotLoadQ),1);
% SEphaseBSpotLoadQ=zeros(length(phaseBSpotLoadQ),1);
% SEphaseCSpotLoadQ=zeros(length(phaseCSpotLoadQ),1);
%
SEVmf1=sparse(ones(busNum,1));
SEVaf1=sparse(zeros(busNum,1));
SEPD=sparse(zeros(busNum,1));
SEQD=sparse(zeros(busNum,1));
% SEVmf1=sparse(ones(busNum,1));
% SEVaf1=sparse(zeros(busNum,1));
% SEPD=sparse(zeros(busNum,1));
% SEQD=sparse(zeros(busNum,1));
KK=0;
plotGap=zeros(1,60);
%
% SEPD SEQD SEVmf1 SEVaf1
RestraintCount=length(SEVmf1)+length(Loadi)*2;
ContrlCount=length(SEVmf1)*2+length(Loadi)*2;
RestraintCount=length(Loadi)*2;
ContrlCount=busNum*2+length(Loadi)*2;
CenterA=0.1;
Init_Z=sparse(ones(RestraintCount,1));
Init_W=sparse(-1*ones(RestraintCount,1));
@ -253,30 +258,31 @@ Init_L=1*sparse(ones(RestraintCount,1));
Init_U=1*sparse(ones(RestraintCount,1));
Init_Y=sparse(2*busNum,1);%
Gap=(Init_L'*Init_Z-Init_U'*Init_W);
PG=sparse(busNum,1);
PG(Balance)=0.1105;
QG=sparse(busNum,1);
QG(Balance)=0.0984;
SEPD(2)=0.1105;
SEQD(2)=0.0984;
% PG=sparse(busNum,1);
% PG(Balance)=0.1105;
% QG=sparse(busNum,1);
% QG(Balance)=0.0984;
% SEPD(2)=0.1105;
% SEQD(2)=0.0984;
while Gap>1e-5 && KK<20
KK=KK+1;
Init_u=Gap/2/RestraintCount*CenterA;
deltH=func_deltH(busNum,SEVmf1,fsY1amp,SEVaf1,r,c,fsY1ang,Loadi);
deltH=func_deltH(busNum,fsY1,Loadi,Balance);
deltG=func_deltG(busNum,Loadi);
L_1Z=diag(Init_Z./Init_L);
U_1W=diag(Init_W./Init_U);
deltdeltF=func_deltdeltF(SEPD,ContrlCount);
ddh=func_ddh(SEVmf1,Init_Y,busNum,fsY1amp,SEVaf1,r,c,fsY1ang,Loadi,ContrlCount);
deltdeltF=func_deltdeltF(busNum,fsY1,Loadi);
% ddh=func_ddh(SEVmf1,Init_Y,busNum,fsY1amp,SEVaf1,r,c,fsY1ang,Loadi,ContrlCount);
ddh=0;
ddg=func_ddg();
deltF=func_deltF(SEPD,ContrlCount);
deltF=func_deltF(measurement,busNum,fsY1,Loadi,V1r,V1i,I1r,I1i);
Luu=Init_U.*Init_W+Init_u*ones(RestraintCount,1);
Lul=Init_L.*Init_Z-Init_u*ones(RestraintCount,1);
Mat_G=FormG(SEVmf1,SEPD,SEQD,Loadi);
Mat_H=FormH(busNum,SEVmf1,PG,SEPD,QG,SEQD,fsY1amp,SEVaf1,r,c,fsY1ang);
Mat_G=FormG(I1r,I1i);
Mat_H=FormH(fsY1,Loadi,V1r,V1i,I1r,I1i,BalI1r,BalI1i,Balance);
Ly=Mat_H;
Lz=FormLz(Mat_G,Init_L,busNum,Loadi);
Lw=FormLw(Mat_G,Init_U,busNum,Loadi);
Lz=FormLz(Loadi);
Lw=FormLw(Loadi);
Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W);
YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx);
%%
@ -284,6 +290,8 @@ while Gap>1e-5 && KK<20
fprintf(' %d Gap %f\n',KK,plotGap(KK));
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);
[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX,ContrlCount,RestraintCount,busNum);
[Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,SEVmf1,SEVaf1,SEPD,SEQD]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,SEVmf1,SEVaf1,ContrlCount,Balance,busNum,SEPD,SEQD,Loadi);
[Init_Z,Init_L,Init_W,Init_U,Init_Y,V1r,V1i,I1r,I1i]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,V1r,V1i,I1r,I1i,ContrlCount,Balance,busNum,Loadi);
Gap=(Init_L'*Init_Z-Init_U'*Init_W);
end
end
%
f=sum([real(measurement);imag(measurement)]-[-I1r;-I1i]);