2013-04-14 19:40:35 +08:00
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clear
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clc
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2013-04-22 21:56:16 +08:00
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% yalmip('clear')
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2013-03-11 21:06:53 +08:00
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addpath('.\Powerflow')
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2015-03-21 22:37:47 +08:00
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[~, ~, ~, ~,Volt,Vangle,Y,Yangle,r,c,newwordParameter,PG,QG,PD,QD,Balance]=pf('ieee118.dat', '0');
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2013-04-10 17:01:12 +08:00
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%% <EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2013-08-30 16:11:16 +08:00
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sigma=0.03;% <EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2013-04-10 17:01:12 +08:00
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%% <EFBFBD><EFBFBD>ѹ
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%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD>ֵ
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rVolt=Volt; %<EFBFBD><EFBFBD>ֵ
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2013-08-14 10:46:45 +08:00
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BalanceVolt=Volt(Balance);
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2013-04-10 17:01:12 +08:00
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mVolt=rVolt.*(normrnd(0,sigma,length(Volt),1)+1);%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2013-04-14 19:40:35 +08:00
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rVAngel=Vangle;
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2013-04-10 17:01:12 +08:00
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%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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%ע<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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cmpY=Y.*exp(1j*sparse(r,c,Yangle,length(Y),length(Y)));%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɾ<EFBFBD><EFBFBD><EFBFBD>
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cmpV=Volt.*exp(1j*Vangle); %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѹ
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cmpI=cmpY*cmpV;% ע<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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rI=abs(cmpI); %ע<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD><EFBFBD><EFBFBD>ǵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
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mI=rI.*(normrnd(0,sigma,length(rI),1)+1);%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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%% ֧·<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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% ֧·<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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lineI=newwordParameter.line.lineI;
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lineJ=newwordParameter.line.lineJ;
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lineR=newwordParameter.line.lineR;
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lineX=newwordParameter.line.lineX;
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2013-08-14 22:25:16 +08:00
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lineB2=newwordParameter.line.lineB2;
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2013-08-15 20:59:36 +08:00
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lineG=real(1./(lineR+1j*lineX));
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lineB=imag(1./(lineR+1j*lineX));
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2013-08-15 21:51:31 +08:00
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cmpBranchI=BranchI( cmpV,lineI,lineJ,lineR,lineX );%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>֧·<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2013-04-10 17:01:12 +08:00
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rBranchI=abs(cmpBranchI);% ֧·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
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2013-04-13 21:34:01 +08:00
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mBranchI=rBranchI.*(normrnd(0,sigma,length(rBranchI),1)+1);%֧·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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%% ֧·<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2013-08-15 21:51:31 +08:00
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rBranchP= BranchP( cmpV,cmpBranchI,lineI,lineB2 );
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2013-04-13 21:34:01 +08:00
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mBranchP=rBranchP.*(normrnd(0,sigma,length(rBranchP),1)+1);%֧·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2013-08-15 21:51:31 +08:00
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rBranchQ=BranchQ( cmpV,cmpBranchI,lineI,lineB2 );
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2013-04-13 21:34:01 +08:00
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mBranchQ=rBranchQ.*(normrnd(0,sigma,length(rBranchQ),1)+1);%֧·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2013-08-17 21:40:53 +08:00
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%% <EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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transI=newwordParameter.trans.transI;
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transJ=newwordParameter.trans.transJ;
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transK=newwordParameter.trans.transK;
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transR=newwordParameter.trans.transR;
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transX=newwordParameter.trans.transX;
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transG=real(1./(transR+1j*transX));
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transB=imag(1./(transR+1j*transX));
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rTransP=TransPower( newwordParameter,rVolt,rVAngel );
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rTransQ=TransReactivePower( newwordParameter,rVolt,rVAngel );
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mTransP=rTransP.*(normrnd(0,sigma,length(rTransP),1)+1);
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mTransQ=rTransQ.*(normrnd(0,sigma,length(rTransQ),1)+1);
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2013-04-13 21:34:01 +08:00
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%% ע<EFBFBD>빦<EFBFBD><EFBFBD>
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2013-04-14 21:58:12 +08:00
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rPD=PD;
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2013-04-13 21:34:01 +08:00
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PDi=find(PD~=0);
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2013-04-14 21:58:12 +08:00
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rQD=QD;
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2013-04-13 21:34:01 +08:00
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QDi=find(QD~=0);
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2013-04-14 21:58:12 +08:00
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rPG=PG;
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2013-04-13 21:34:01 +08:00
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PGi=find(PG~=0);
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2013-04-14 21:58:12 +08:00
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rQG=QG;
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2013-04-13 21:34:01 +08:00
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QGi=find(QG~=0);
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mPD=rPD.*(normrnd(0,sigma,length(rPD),1)+1);
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mQD=rQD.*(normrnd(0,sigma,length(rQD),1)+1);
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mPG=rPG.*(normrnd(0,sigma,length(rPG),1)+1);
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mQG=rQG.*(normrnd(0,sigma,length(rQG),1)+1);
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%% 0ע<EFBFBD><EFBFBD><EFBFBD>ڵ<EFBFBD>
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zerosInjectionIndex=1:length(Volt);
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zerosInjectionIndex=zerosInjectionIndex( ~(PD~=0|QD~=0|PG~=0|QG~=0) );
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2013-08-19 17:17:43 +08:00
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% zerosInjectionIndex=zeros(0,0);
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2013-04-14 16:30:53 +08:00
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%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ע<EFBFBD>빦<EFBFBD><EFBFBD>
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% <EFBFBD><EFBFBD><EFBFBD>ҵ<EFBFBD>ֻ<EFBFBD>з<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ľڵ<EFBFBD>
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PDQDi=union(PDi,QDi);
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onlyPG=setdiff(PGi,PDQDi);
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onlyQG=setdiff(QGi,PDQDi);
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2013-08-17 21:40:53 +08:00
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%% <EFBFBD><EFBFBD><EFBFBD>㷽<EFBFBD><EFBFBD>
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2013-08-30 16:11:16 +08:00
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measureSigma=abs(([rVolt;rBranchP;rBranchQ;rTransP;rTransQ].*sigma));
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measureSigma(measureSigma<1e-6)=mean(measureSigma(measureSigma>1e-6));
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2013-08-31 10:05:49 +08:00
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W=sparse(diag(1./measureSigma.^2)) ;
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2013-08-18 12:14:29 +08:00
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% W=sparse(1:length(W),1:length(W),400,length(W),length(W));
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2013-04-23 11:43:35 +08:00
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%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȼ<EFBFBD><EFBFBD><EFBFBD>
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stateVarCount=2*length(Volt);
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measurements=length(mVolt)+length(mBranchI)+length(mBranchP)+length(mBranchQ)+length(mPG)+length(mQG)+length(mTransP)+length(mTransQ);
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fprintf('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> %f\n',measurements/stateVarCount);
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%% save
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% save('mVolt','mVolt');
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% save('mPG','mPG');
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% save('mQG','mQG');
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% save('mBranchI','mBranchI');
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% save('mBranchP','mBranchP');
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% save('mBranchQ','mBranchQ');
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% save('mTransP','mTransP');
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% save('mTransQ','mTransQ');
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%% load
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2013-08-14 10:46:45 +08:00
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% load('mVolt');
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% load('mPG');
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% load('mQG');
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% load('mBranchI');
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% load('mBranchP');
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% load('mBranchQ');
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% load('mTransP');
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% load('mTransQ');
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2013-08-14 22:25:16 +08:00
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%% <EFBFBD>Լ<EFBFBD>д<EFBFBD><EFBFBD><EFBFBD>ִ<EFBFBD><EFBFBD><EFBFBD>
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2013-08-31 10:05:49 +08:00
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% <EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD>һЩֵ
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2013-08-14 22:25:16 +08:00
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SEVolt=sparse(ones(length(mVolt),1));
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2013-08-18 12:14:29 +08:00
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SEVolt(Balance)=rVolt(Balance);
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2015-03-21 22:37:47 +08:00
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SEVAngle=sparse(-0.02*ones(length(mVolt),1));
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2013-08-14 22:25:16 +08:00
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maxD=1000;
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Iteration=0;
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2013-08-19 17:17:43 +08:00
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optimalCondition=100;
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eps=1e-4;
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2013-08-31 10:05:49 +08:00
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mu=0;
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v=2;
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ojbFunDecrease=1000;% Ŀ<EFBFBD>꺯<EFBFBD><EFBFBD><EFBFBD>½<EFBFBD>
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% <EFBFBD><EFBFBD><EFBFBD>¶<EFBFBD><EFBFBD><EFBFBD>Jacobi<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2013-08-19 17:17:43 +08:00
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% while max(abs(g))>1e-5;
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% while maxD>1e-5
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2013-08-31 10:05:49 +08:00
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while max(abs(optimalCondition))>eps
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2013-08-17 17:30:22 +08:00
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% <EFBFBD><EFBFBD>ѹ
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dV_dV=sparse(1:length(mVolt),1:length(mVolt),1,length(mVolt),length(mVolt));%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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dV_dTyta=sparse(length(mVolt),length(mVolt));
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% <EFBFBD><EFBFBD>·֧·
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dLPij_dVi=sparse(1:length(lineI),lineI, ...
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-SEVolt(lineJ).*( ...
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2013-08-17 21:40:53 +08:00
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lineG.*cos(SEVAngle(lineI)-SEVAngle(lineJ)) +lineB.*sin(SEVAngle(lineI)-SEVAngle(lineJ))...
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2013-08-17 17:30:22 +08:00
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)...
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+2*(lineG).*SEVolt(lineI) ...
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,length(lineI),length(mVolt));%<EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>
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dLPij_dVj=sparse(1:length(lineI),lineJ, ...
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-SEVolt(lineI).*( ...
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2013-08-17 21:40:53 +08:00
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lineG.*cos(SEVAngle(lineI)-SEVAngle(lineJ)) +lineB.*sin(SEVAngle(lineI)-SEVAngle(lineJ))...
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2013-08-17 17:30:22 +08:00
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) ...
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,length(lineI),length(mVolt));%<EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>
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dLPij_dThetai=sparse(1:length(lineI),lineI, ...
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SEVolt(lineI).*SEVolt(lineJ).*( ...
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2013-08-17 21:40:53 +08:00
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lineG.*sin(SEVAngle(lineI)-SEVAngle(lineJ)) -lineB.*cos(SEVAngle(lineI)-SEVAngle(lineJ))...
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2013-08-17 17:30:22 +08:00
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)...
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,length(lineI),length(mVolt));%<EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>
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dLPij_dThetaj=sparse(1:length(lineI),lineJ, ...
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-SEVolt(lineI).*SEVolt(lineJ).*( ...
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2013-08-17 21:40:53 +08:00
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lineG.*sin(SEVAngle(lineI)-SEVAngle(lineJ)) -lineB.*cos(SEVAngle(lineI)-SEVAngle(lineJ))...
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2013-08-17 17:30:22 +08:00
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)...
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,length(lineI),length(mVolt));%<EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>
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dLQij_dVi=sparse(1:length(lineI),lineI, ...
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-SEVolt(lineJ).*( ...
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2013-08-17 21:40:53 +08:00
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lineG.*sin(SEVAngle(lineI)-SEVAngle(lineJ)) -lineB.*cos(SEVAngle(lineI)-SEVAngle(lineJ))...
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2013-08-17 17:30:22 +08:00
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)...
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-2*(lineB+lineB2).*SEVolt(lineI) ...
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,length(lineI),length(mVolt));%<EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>
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dLQij_dVj=sparse(1:length(lineI),lineJ, ...
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-SEVolt(lineI).*( ...
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2013-08-17 21:40:53 +08:00
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lineG.*sin(SEVAngle(lineI)-SEVAngle(lineJ)) -lineB.*cos(SEVAngle(lineI)-SEVAngle(lineJ))...
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2013-08-17 17:30:22 +08:00
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) ...
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,length(lineI),length(mVolt));%<EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>
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dLQij_dThetai=sparse(1:length(lineI),lineI, ...
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-SEVolt(lineI).*SEVolt(lineJ).*( ...
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2013-08-17 21:40:53 +08:00
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lineG.*cos(SEVAngle(lineI)-SEVAngle(lineJ)) +lineB.*sin(SEVAngle(lineI)-SEVAngle(lineJ))...
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2013-08-17 17:30:22 +08:00
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) ...
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,length(lineI),length(mVolt));%<EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>
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dLQij_dThetaj=sparse(1:length(lineI),lineJ, ...
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SEVolt(lineI).*SEVolt(lineJ).*( ...
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2013-08-17 21:40:53 +08:00
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lineG.*cos(SEVAngle(lineI)-SEVAngle(lineJ)) +lineB.*sin(SEVAngle(lineI)-SEVAngle(lineJ))...
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2013-08-17 17:30:22 +08:00
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) ...
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,length(lineI),length(mVolt));%<EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>
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% <EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD>֧·
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dTPij_dVi=sparse(1:length(transI),transI, ...
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-SEVolt(transJ)./transK.*( ...
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2013-08-17 21:40:53 +08:00
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transG.*cos(SEVAngle(transI)-SEVAngle(transJ)) +transB.*sin(SEVAngle(transI)-SEVAngle(transJ))...
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2013-08-17 17:30:22 +08:00
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)...
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+2*transG.*SEVolt(transI)./(transK.^2) ...
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,length(transI),length(mVolt));%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD>
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dTPij_dVj=sparse(1:length(transI),transJ, ...
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-SEVolt(transI)./transK.*( ...
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2013-08-17 21:40:53 +08:00
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transG.*cos(SEVAngle(transI)-SEVAngle(transJ)) +transB.*sin(SEVAngle(transI)-SEVAngle(transJ))...
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2013-08-17 17:30:22 +08:00
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) ...
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,length(transI),length(mVolt));%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD>
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dTPij_dThetai=sparse(1:length(transI),transI, ...
|
|
|
|
|
|
SEVolt(transI)./transK.*SEVolt(transJ).*( ...
|
2013-08-17 21:40:53 +08:00
|
|
|
|
transG.*sin(SEVAngle(transI)-SEVAngle(transJ)) -transB.*cos(SEVAngle(transI)-SEVAngle(transJ))...
|
2013-08-17 17:30:22 +08:00
|
|
|
|
)...
|
|
|
|
|
|
,length(transI),length(mVolt));%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD>
|
|
|
|
|
|
dTPij_dThetaj=sparse(1:length(transI),transJ, ...
|
|
|
|
|
|
-SEVolt(transI)./transK.*SEVolt(transJ).*( ...
|
2013-08-17 21:40:53 +08:00
|
|
|
|
transG.*sin(SEVAngle(transI)-SEVAngle(transJ)) -transB.*cos(SEVAngle(transI)-SEVAngle(transJ))...
|
2013-08-17 17:30:22 +08:00
|
|
|
|
)...
|
|
|
|
|
|
,length(transI),length(mVolt));%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD>
|
|
|
|
|
|
dTQij_dVi=sparse(1:length(transI),transI, ...
|
|
|
|
|
|
-SEVolt(transJ)./transK.*( ...
|
2013-08-17 21:40:53 +08:00
|
|
|
|
transG.*sin(SEVAngle(transI)-SEVAngle(transJ)) -transB.*cos(SEVAngle(transI)-SEVAngle(transJ))...
|
2013-08-17 17:30:22 +08:00
|
|
|
|
)...
|
|
|
|
|
|
-2*transB.*SEVolt(transI)./(transK.^2) ...
|
|
|
|
|
|
,length(transI),length(mVolt));%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD>
|
|
|
|
|
|
dTQij_dVj=sparse(1:length(transI),transJ, ...
|
|
|
|
|
|
-SEVolt(transI)./transK.*( ...
|
2013-08-17 21:40:53 +08:00
|
|
|
|
transG.*sin(SEVAngle(transI)-SEVAngle(transJ)) -transB.*cos(SEVAngle(transI)-SEVAngle(transJ))...
|
2013-08-17 17:30:22 +08:00
|
|
|
|
) ...
|
|
|
|
|
|
,length(transI),length(mVolt));%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD>
|
|
|
|
|
|
dTQij_dThetai=sparse(1:length(transI),transI, ...
|
|
|
|
|
|
-SEVolt(transI)./transK.*SEVolt(transJ).*( ...
|
2013-08-17 21:40:53 +08:00
|
|
|
|
transG.*cos(SEVAngle(transI)-SEVAngle(transJ)) +transB.*sin(SEVAngle(transI)-SEVAngle(transJ))...
|
2013-08-17 17:30:22 +08:00
|
|
|
|
) ...
|
|
|
|
|
|
,length(transI),length(mVolt));%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD>
|
|
|
|
|
|
dTQij_dThetaj=sparse(1:length(transI),transJ, ...
|
|
|
|
|
|
SEVolt(transI)./transK.*SEVolt(transJ).*( ...
|
2013-08-17 21:40:53 +08:00
|
|
|
|
transG.*cos(SEVAngle(transI)-SEVAngle(transJ)) +transB.*sin(SEVAngle(transI)-SEVAngle(transJ))...
|
2013-08-17 17:30:22 +08:00
|
|
|
|
) ...
|
|
|
|
|
|
,length(transI),length(mVolt));%<EFBFBD><EFBFBD>ѹ<EFBFBD><EFBFBD>
|
2013-08-19 17:17:43 +08:00
|
|
|
|
%% <EFBFBD><EFBFBD><EFBFBD>ǵ<EFBFBD>ʽԼ<EFBFBD><EFBFBD>
|
|
|
|
|
|
% <EFBFBD><EFBFBD>ʽԼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Jacobi
|
2013-08-31 10:05:49 +08:00
|
|
|
|
% r=newwordParameter.r;
|
|
|
|
|
|
% c=newwordParameter.c;
|
|
|
|
|
|
% Yangle=newwordParameter.Yangle;
|
|
|
|
|
|
% VAngleIJ=sparse(r,c,SEVAngle(r)-SEVAngle(c) -Yangle,length(mVolt),length(mVolt)) ;
|
|
|
|
|
|
% YdotSin=Y.* ( spfun(@sin,VAngleIJ) );
|
|
|
|
|
|
% YdotCos=Y.* ( spfun (@cos, VAngleIJ ) );
|
|
|
|
|
|
% diag_Volt_YdotCos=diag(SEVolt)*YdotCos;
|
|
|
|
|
|
% diag_Volt_YdotSin=diag(SEVolt)*YdotSin;
|
|
|
|
|
|
% YdotCosVolt=YdotCos*Volt;
|
|
|
|
|
|
% YdotSinVolt=YdotSin*Volt;
|
|
|
|
|
|
% diag_Volt_YdotCosVolt=diag_Volt_YdotCos*Volt;
|
|
|
|
|
|
% diag_Volt_YdotSinVolt=diag_Volt_YdotSin*Volt;
|
|
|
|
|
|
% diag_YdotSinVolt_=diag(YdotSinVolt);
|
|
|
|
|
|
% diag_YdotCosVolt_=diag(YdotCosVolt);
|
|
|
|
|
|
% dPdTyta=diag_Volt_YdotSin*diag(SEVolt)-diag_YdotSinVolt_*diag(SEVolt); % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
|
|
|
|
|
|
% dQdTyta=-diag_Volt_YdotCos*diag(SEVolt)+diag_YdotCosVolt_*diag(SEVolt);%dQ/dThyta
|
|
|
|
|
|
% dPdV=diag_YdotCosVolt_+diag_Volt_YdotCos;%dP/dV
|
|
|
|
|
|
% dQdV=diag_YdotSinVolt_+diag_Volt_YdotSin;%dQ/dV
|
|
|
|
|
|
% % C <EFBFBD>ǵ<EFBFBD>ʽԼ<EFBFBD><EFBFBD> c <EFBFBD><EFBFBD>Jacobi
|
|
|
|
|
|
% C=[dPdV dPdTyta;
|
|
|
|
|
|
% dQdV dQdTyta];
|
|
|
|
|
|
% C=C(zerosInjectionIndex,:);
|
|
|
|
|
|
% % <EFBFBD>γɵ<EFBFBD>ʽԼ<EFBFBD><EFBFBD> c
|
|
|
|
|
|
% nodeP=diag_Volt_YdotCosVolt;
|
|
|
|
|
|
% nodeQ=diag_Volt_YdotSinVolt;
|
|
|
|
|
|
% nodePQ=[nodeP;nodeQ];
|
|
|
|
|
|
% c=nodePQ(zerosInjectionIndex);
|
2013-08-17 17:30:22 +08:00
|
|
|
|
%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
|
|
|
|
|
|
H=[dV_dV,dV_dTyta;
|
|
|
|
|
|
dLPij_dVi+dLPij_dVj,dLPij_dThetai+dLPij_dThetaj ;
|
2013-08-17 17:43:42 +08:00
|
|
|
|
dLQij_dVi+dLQij_dVj,dLQij_dThetai+dLQij_dThetaj ;
|
|
|
|
|
|
dTPij_dVi+dTPij_dVj,dTPij_dThetai+dTPij_dThetaj;
|
|
|
|
|
|
dTQij_dVi+dTQij_dVj,dTQij_dThetai+dTQij_dThetaj];%jacobi
|
2013-08-17 17:30:22 +08:00
|
|
|
|
|
2013-08-17 21:40:53 +08:00
|
|
|
|
SEBranchI=BranchI( SEVolt.*exp(1j*SEVAngle),lineI,lineJ,lineR,lineX );%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>֧·<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
|
|
|
|
|
|
SEBranchP=BranchP( SEVolt.*exp(1j*SEVAngle),SEBranchI,lineI,lineB2 );
|
|
|
|
|
|
SEBranchQ=BranchQ( SEVolt.*exp(1j*SEVAngle),SEBranchI,lineI,lineB2 );
|
|
|
|
|
|
SETransP=TransPower( newwordParameter,SEVolt,SEVAngle );
|
|
|
|
|
|
SETransQ=TransReactivePower( newwordParameter,SEVolt,SEVAngle );
|
2013-08-17 17:50:36 +08:00
|
|
|
|
h=[SEVolt;SEBranchP;SEBranchQ;SETransP;SETransQ];
|
|
|
|
|
|
z=[mVolt;mBranchP;mBranchQ;mTransP;mTransQ];
|
2013-08-17 17:30:22 +08:00
|
|
|
|
G=H'*W*H;
|
|
|
|
|
|
g=-H'*W*(z-h);
|
2013-08-31 10:05:49 +08:00
|
|
|
|
|
2013-08-19 17:17:43 +08:00
|
|
|
|
% <EFBFBD>γɴ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
|
2013-08-31 10:05:49 +08:00
|
|
|
|
% a=[G C';
|
|
|
|
|
|
% C zeros(size(C,1),size(C,1))];
|
|
|
|
|
|
% b=[-g;-c];
|
|
|
|
|
|
% <EFBFBD><EFBFBD><EFBFBD><EFBFBD> Levenber-Marquardt
|
|
|
|
|
|
% if Iteration==0
|
|
|
|
|
|
% mu=max(diag(G));
|
|
|
|
|
|
% end
|
2013-08-30 16:11:16 +08:00
|
|
|
|
a=G;
|
|
|
|
|
|
b=-g;
|
2013-08-31 10:05:49 +08:00
|
|
|
|
|
|
|
|
|
|
|
2013-08-19 17:17:43 +08:00
|
|
|
|
% ƽ<EFBFBD><EFBFBD><EFBFBD>ڵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ǻ㶨
|
|
|
|
|
|
a(length(mVolt)+Balance,:)=0;
|
|
|
|
|
|
a(:,length(mVolt)+Balance)=0;
|
|
|
|
|
|
a=a+sparse(length(mVolt)+Balance,length(mVolt)+Balance,1,size(a,1),size(a,1));
|
|
|
|
|
|
b(length(mVolt)+Balance)=0;
|
2013-08-18 12:14:29 +08:00
|
|
|
|
% ƽ<EFBFBD><EFBFBD><EFBFBD>ڵ<EFBFBD><EFBFBD><EFBFBD>ѹ<EFBFBD>㶨;
|
2013-08-19 17:17:43 +08:00
|
|
|
|
a(Balance,:)=0;
|
|
|
|
|
|
a(:,Balance)=0;
|
|
|
|
|
|
a=a+sparse(Balance,Balance,1,size(a,1),size(a,1));
|
|
|
|
|
|
b(Balance)=0;
|
|
|
|
|
|
dX=a\b;
|
2013-08-17 21:40:53 +08:00
|
|
|
|
dXStep=1;
|
2013-08-31 10:05:49 +08:00
|
|
|
|
% dXStep=Armijo(z,newwordParameter,W,SEVolt,SEVAngle,dX,g );
|
2013-08-19 17:17:43 +08:00
|
|
|
|
maxD=max(abs(dX(1:length(mVolt))))
|
2013-08-18 12:14:29 +08:00
|
|
|
|
fprintf('max abs g:%f\n',full(max(abs(g))));
|
2013-08-17 21:40:53 +08:00
|
|
|
|
SEVolt=SEVolt+dX(1:length(mVolt))*dXStep;
|
2013-08-19 17:17:43 +08:00
|
|
|
|
SEVAngle=SEVAngle+dX(length(mVolt)+1:length(mVolt)*2)*dXStep;
|
|
|
|
|
|
lamda=-dX(length(mVolt)*2+1:end);
|
2013-08-31 10:05:49 +08:00
|
|
|
|
% % <EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ŀ<EFBFBD>꺯<EFBFBD><EFBFBD><EFBFBD>½<EFBFBD><EFBFBD><EFBFBD>
|
|
|
|
|
|
% preObjFun=(z-h)'*W*(z-h);
|
|
|
|
|
|
% oldSEVolt=SEVolt;
|
|
|
|
|
|
% oldSEVAngle=SEVAngle;
|
|
|
|
|
|
% <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>¿<EFBFBD><EFBFBD><EFBFBD>ָ<EFBFBD><EFBFBD> p
|
|
|
|
|
|
% p=(objfun( SEVolt,SEVAngle,W,z,newwordParameter ) - objfun( SEVolt+dX(1:length(mVolt))*dXStep,SEVAngle+dX(length(mVolt)+1:length(mVolt)*2)*dXStep,W,z,newwordParameter ) )/( .5*dX'*(mu*dX-g) );
|
|
|
|
|
|
% if p>0 %<EFBFBD><EFBFBD><EFBFBD>ܸ<EFBFBD><EFBFBD><EFBFBD>
|
|
|
|
|
|
% % <EFBFBD><EFBFBD><EFBFBD>±<EFBFBD><EFBFBD><EFBFBD>
|
|
|
|
|
|
% SEVolt=SEVolt+dX(1:length(mVolt))*dXStep;
|
|
|
|
|
|
% SEVAngle=SEVAngle+dX(length(mVolt)+1:length(mVolt)*2)*dXStep;
|
|
|
|
|
|
% lamda=-dX(length(mVolt)*2+1:end);
|
|
|
|
|
|
% mu=mu*max([1/3,1-(2*p-1)^3]);
|
|
|
|
|
|
% v=2;
|
|
|
|
|
|
% else
|
|
|
|
|
|
% mu=mu*v;
|
|
|
|
|
|
% v=2*v;
|
|
|
|
|
|
% end
|
|
|
|
|
|
|
|
|
|
|
|
Iteration=Iteration+1;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
% % <EFBFBD><EFBFBD><EFBFBD>º<EFBFBD>Ŀ<EFBFBD>꺯<EFBFBD><EFBFBD>
|
|
|
|
|
|
% h=[SEVolt;SEBranchP;SEBranchQ;SETransP;SETransQ];
|
|
|
|
|
|
% ojbFunDecrease=preObjFun-(z-h)'*W*(z-h)
|
|
|
|
|
|
% if ojbFunDecrease<1e-3
|
|
|
|
|
|
% mu=100000;
|
|
|
|
|
|
% else
|
|
|
|
|
|
% mu=0;
|
|
|
|
|
|
% end
|
2013-08-30 16:11:16 +08:00
|
|
|
|
optimalCondition=-g;
|
2013-08-19 17:17:43 +08:00
|
|
|
|
optimalCondition(Balance)=0;
|
|
|
|
|
|
optimalCondition(Balance+length(mVolt))=0;
|
2013-08-14 22:25:16 +08:00
|
|
|
|
end
|
2013-04-14 19:40:35 +08:00
|
|
|
|
%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
|
2013-08-14 22:25:16 +08:00
|
|
|
|
fprintf('<EFBFBD><EFBFBD><EFBFBD><EFBFBD>%d<EFBFBD><EFBFBD>\n',Iteration);
|
|
|
|
|
|
fval=full((z-h)'*W*(z-h));
|
2013-04-14 19:40:35 +08:00
|
|
|
|
fprintf('Ŀ<EFBFBD>꺯<EFBFBD><EFBFBD>Ϊ:%f\n',fval);
|
2013-04-13 21:34:01 +08:00
|
|
|
|
fprintf('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>\n');
|
2013-08-31 10:05:49 +08:00
|
|
|
|
(abs(rVolt-double(SEVolt)))./(rVolt);
|
2013-08-17 21:40:53 +08:00
|
|
|
|
MaxDeviation(rVolt,SEVolt,rVAngel,SEVAngle)
|
|
|
|
|
|
plotAndComparison( rVolt,rVAngel,SEVolt,SEVAngle )
|
|
|
|
|
|
% <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
|
2013-08-19 17:17:43 +08:00
|
|
|
|
|
|
|
|
|
|
if any(abs(optimalCondition)>eps)
|
2013-08-17 21:40:53 +08:00
|
|
|
|
fprintf('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>\n')
|
|
|
|
|
|
else
|
|
|
|
|
|
fprintf('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>\n')
|
|
|
|
|
|
end
|