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暂时 

Signed-off-by: facat <dmy@dmy-PC.(none)>
This commit is contained in:
facat 2012-05-23 09:26:35 +08:00
parent 703802da3f
commit 18dea8045f
23 changed files with 5038 additions and 141 deletions
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3
FormG.m
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@ -1,4 +1,4 @@
function Mat_G=FormG(Volt,PVi,PGi,PG,QG)
function Mat_G=FormG(Volt,PVi,PGi,PG,QG,PD)
%t1=PG(PVi);
%GP=t1;%发电机P
%GP=[4.5 4.5]';
@ -13,6 +13,7 @@ Mat_G=[
%GP;
PG(PGi);
QG(PVi);
PD;
%GQ(PVi);
%[0 1.45]';
Volt';

12
FormLw.m
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@ -1,10 +1,12 @@
function Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU)
function Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU,PD0)
PU=GenU(:,2);%发电机有功上界
PU=20*GenU(:,2);%发电机有功上界
QU=PVQU(:,1);%发电机无功上界
VoltU=1.1*ones(1,Busnum);
t1=([PU',QU',VoltU])';
VoltU=1.5*ones(1,Busnum);
%PDU=20*PD0';
%PDU(PDU==0)=20;
PDU=25*ones(Busnum,1)';
t1=([PU',QU',PDU,VoltU])';
t2=Mat_G+Init_U'-t1;
Lw=t2;
end

11
FormLz.m
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@ -1,9 +1,12 @@
function Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL)
function Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL,PD0)
PL=GenL(:,2);%发电机有功下界
PL=0.0001*GenL(:,2);%发电机有功下界
QL=PVQL(:,1);%发电机无功下界
VoltL=0.9*ones(1,Busnum);
t1=([PL',QL',VoltL])';
VoltL=0.5*ones(1,Busnum);
%PDL=-0.001*PD0';
%PDL(PD0<=0)=-20;
PDL=-25*ones(Busnum,1)';
t1=([PL',QL',PDL,VoltL])';
t2=Mat_G-Init_L'-t1;
Lz=t2;

3516
IEEE10471PG.dat Normal file
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File diff suppressed because it is too large Load Diff

398
IEEE118PG.dat Normal file
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@ -0,0 +1,398 @@
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0
5 -0.4
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34 .14
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58
IEEE14PG.dat Normal file
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@ -0,0 +1,58 @@
14 20 100. 20 0.1
1.e-5 2
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824
IEEE3001PG.dat Normal file
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11 0.350000000000000 0.225000000000000 0.128300000000000 300 800 0 0
28 0.220000000000000 0.143000000000000 0.250000000000000 300 600 0 0
29 0.750000000000000 0.125000000000000 0.250000000000000 300 800 0 0
30 0.540000000000000 0.195000000000000 0.252000000000000 600 1600 0 0
31 0.380000000000000 0.220000000000000 0.439000000000000 200 400 0 0
32 0.360000000000000 0.125000000000000 0.635000000000000 200 500 0 0
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0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0

96
IEEE30PG.dat Normal file
View File

@ -0,0 +1,96 @@
30 41 100.0 28 0.1
1.e-5 2
1 1
0
1 1 2 0.0192 0.0575 0.0264
2 1 3 0.0452 0.1852 0.0204
3 2 4 0.0570 0.1737 0.0184
4 3 4 0.0132 0.0379 0.0042
5 2 5 0.0472 0.1983 0.0209
6 2 6 0.0581 0.1763 0.0187
7 4 6 0.0119 0.0414 0.0045
8 5 7 0.0460 0.1160 0.0102
9 6 7 0.0267 0.0820 0.0085
10 6 8 0.0120 0.0420 0.0045
13 9 11 0.0 0.2080 0.0
15 12 13 0.0 0.1400 0.0
16 12 14 0.1231 0.2559 0.0
17 12 15 0.0662 0.1304 0.0
18 12 16 0.945 0.1987 0.0
19 14 15 0.2210 0.1997 0.0
20 16 17 0.0824 0.1923 0.0
21 15 18 0.1070 0.2185 0.0
22 18 19 0.0639 0.1292 0.0
23 19 20 0.0340 0.0680 0.0
24 10 20 0.0936 0.2090 0.0
25 10 17 0.0324 0.0845 0.0
26 10 21 0.0348 0.0749 0.0
27 10 22 0.0727 0.1499 0.0
28 21 22 0.0116 0.0236 0.0
29 15 23 0.1000 0.2020 0.0
30 22 24 0.1150 0.1790 0.0
31 23 24 0.1320 0.2700 0.0
32 24 25 0.1885 0.3292 0.0
33 25 26 0.2554 0.3800 0.0
34 25 27 0.1093 0.2087 0.0
36 27 29 0.2198 0.4153 0.0
37 27 30 0.3202 0.6027 0.0
38 29 30 0.2399 0.4533 0.0
39 8 28 0.0636 0.2000 0.0214
40 6 28 0.0169 0.0599 0.0065
41 9 10 0.0 0.1100 0.0
0
10 0.19
24 0.043
0
1 9 6 0.0 0.2080 0.978 0.9 1.1
2 6 10 0.0 0.5560 0.969 0.9 1.1
3 12 4 0.0 0.2560 0.932 0.9 1.1
4 28 27 0.0 0.3960 0.968 0.9 1.1
0
1 20. 0. 0. 0.
2 27.56 2.43 21.7 12.7
3 0. 0. 2.4 1.2
4 0. 0. 7.6 1.6
5 67.56 22.25 94.2 19.
6 0. 0. 0. 0.
7 0. 0. 22.8 10.9
8 74 37.27 30. 30.
9 0. 0. 0. 0.
10 0. 0. 5.8 2.
11 63.93 17.61 0. 0.
12 0. 0. 11.2 7.5
13 32.91 24.69 0. 0.
14 0. 0. 6.2 1.6
15 0. 0. 8.2 2.5
16 0. 0. 3.5 1.8
17 0. 0. 9. 5.8
18 0. 0. 3.2 .9
19 0. 0. 9.5 3.4
20 0. 0. 2.2 .7
21 0. 0. 17.5 11.2
22 0. 0. 0. 0.
23 0. 0. 3.2 1.6
24 0. 0. 8.7 6.7
25 0. 0. 0. 0.
26 0. 0. 3.5 2.3
27 0. 0. 0. 0.
28 0. 0. 0. 0.
29 0. 0. 2.4 .9
30 0. 0. 10.6 1.9
0
1 1.060 -50 50.
2 1.045 -40. 60.
5 1.010 -40. 40.
8 1.010 -10. 40.
11 1.082 -6. 24.
13 1.071 -6. 24.
0
1 10. 2.0 2.0 10. 60.
2 10. 1.5 2.4 10. 60.
5 20. 1.8 0.8 10. 150.
8 10. 1.0 1.2 10. 120.
11 20. 1.8 0.8 10. 150.
13 10. 1.5 2.0 10. 60.
0
0

23
IEEE4PG.dat Normal file
View File

@ -0,0 +1,23 @@
4 4 1. 18 .1
1.e-5 2
1 4
0
1 1 2 .1 .4 0.01528
2 1 4 .12 .5 0.0192
3 2 4 .08 .4 0.01413
0
0
1 1 3 .0 .3 0.90909 .9 1.15
0
1 0 0 0.3 0.18
2 0 0 0.55 0.13
3 0.568188176 0 0 0
4 0.300000011 0.26 0 0
0
3 1.1 -0.1 0.6
4 1.05 -0.6 0.6
0
3 44.4 351. 50. 0.3 1.2
4 40.6 389. 50. 0.3 1.2
0
0

6
Modification.m
View File

@ -1,4 +1,4 @@
function [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel]=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)
function [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD]=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)
AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU);
fprintf('AlphaP %f\n',AlphaP);
AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW);
@ -13,7 +13,9 @@ Init_Y=Init_Y+AlphaD*deltY';
PG(PGi)=PG(PGi)+AlphaP*deltX(1:size(PGi,1));
%QG(PVi)=QG(PVi)+deltX(size(PGi,1)+1:size(PVi,1)+size(PGi,1) );
QG(PVi)=QG(PVi)+AlphaP*deltX(size(PGi,1)+1:size(PVi,1)+size(PGi,1) );
t=deltX(size(PVi,1)+size(PGi,1)+1:ContrlCount)';
t=deltX(size(PVi,1)+size(PGi,1)+1:size(PVi,1)+size(PGi,1)+Busnum);
PD=PD+AlphaP*t;
t=deltX(size(PVi,1)+size(PGi,1)+Busnum+1:ContrlCount)';
t(Busnum+Balance)=0;
%Volt=Volt+AlphaP*t(2:2:2*Busnum);暂时改一下20111227
%UAngel=UAngel+AlphaP*t(1:2:2*Busnum);暂时改一下20111227

33
OPF.m
View File

@ -10,12 +10,13 @@ UAngel*180/3.1415926;
%sprintf('%f\n',Volt);
%sprintf('%f\n',Angel);
%% 初值
[Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL);
PD0=PD;
[Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wD,PD]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0);
Gap=(Init_L*Init_Z'-Init_U*Init_W');
KK=0;
plotGap=zeros(1,50);
ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2;
ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*3;
kmax=600;
while(abs(Gap)>Precision)
if KK>kmax
break;
@ -23,8 +24,6 @@ while(abs(Gap)>Precision)
plotGap(KK+1)=Gap;
Init_u=Gap/2/RestraintCount*CenterA;
AngleIJMat=repmat(UAngel',1,Busnum)-repmat(UAngel,Busnum,1);
%indexi=[Linei',Transfori'];
%indexj=[Linej',Transforj'];
%% 开始计算OPF
%% 形成等式约束的雅克比
deltH=func_deltH(Busnum,Volt,PVi,AngleIJMat,Y,GB,PGi);
@ -34,42 +33,36 @@ while(abs(Gap)>Precision)
L_1Z=diag(Init_Z./Init_L);
U_1W=diag(Init_W./Init_U);
%% 形成海森阵
deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi);
deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi,wD,PD0);
%% 形成ddHy
ddh=func_ddh3(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi,Y);
%% 开始构建ddg
ddg=func_ddg(PGi,PVi,Busnum,RestraintCount);
%% 开始构建deltF
deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi);
deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi,wD,PD0,PD,Busnum);
%% 形成方程矩阵
% Hcoma=-deltdeltF+ddh+ddg-deltG*(L_1Z-U_1W)*deltG';
%AA=FormAA1(deltG,deltdeltF,ddh,ddg,deltH,Init_L,Init_U,Init_W,Init_Z,Busnum,PVi,PGi,RestraintCount,Balance);
%AA=FormAA(L_1Z,deltG,U_1W,Hcoma,deltH);
%%
Luu=Init_U'.*Init_W'+Init_u*ones(RestraintCount,1);
Lul=Init_L'.*Init_Z'-Init_u*ones(RestraintCount,1);
Mat_G=FormG(Volt,PVi,PGi,PG,QG);
Mat_G=FormG(Volt,PVi,PGi,PG,QG,PD);
Mat_H=FormH(Busnum,GB,AngleIJMat,Volt,PG,PD,QG,QD,Y);
Ly=Mat_H;
Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL);
Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU);
Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL,PD0);
Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU,PD0);
Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W);
%LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw);
YY=FormYY1(Lul,Lz,Ly,Luu,Lw,Lx);
%YY=FormYY(Init_L,Lul,Lz,Ly,Init_U,Luu,Lw,LxComa);
%% 开始解方程
%XX=AA\YY;
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);
%%取各分量
[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX1(XX,ContrlCount,RestraintCount,Busnum);
%[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX);
[Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel]=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);
[Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD]=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);
Gap=(Init_L*Init_Z'-Init_U*Init_W');
KK=KK+1;
end
fprintf('迭代次数%d\n',KK);
CalCost(GenC,PG,PGi);
%CalCost(GenC,PG,PGi);
ObjectiveFun(PG,PGi,PD,PD0,wD)
DrawGap(plotGap);
Volt=Volt';
toc

23
OPF_Init.asv
View File

@ -1,22 +1,27 @@
function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount]=OPF_Init(Busnum,Balance,PG,QG,Volt,LineNum,GenU,GenL,PVi,PGi)
RestraintCount=size(PVi,1)+size(PGi,1)+Busnum+LineNum; %约束条件数
function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wD,PD]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0)
RestraintCount=size(PVi,1)+size(PGi,1)+Busnum*2; %约束条件数
t_Bal_volt=Volt(Balance);
Volt=ones(1,Busnum);
Volt(Balance)=t_Bal_volt;
%Volt(Balance)=1;
UAngel=zeros(1,Busnum);
Init_Z=ones(1,RestraintCount);
Init_W=-.5*ones(1,RestraintCount);
Init_W=-1*ones(1,RestraintCount);
Init_L=ones(1,RestraintCount);
Init_U=ones(1,RestraintCount);
Init_Y=zeros(1,2*Busnum);
Init_Y(1:2:2*Busnum)=1e-10;
Init_Y(2:2:2*Busnum)=-1e-10;
%Init_Y=zeros(1,2*Busnum);
%Init_Y=ones(1,2*Busnum);
Init_Y=zeros(1,2*Busnum);%与学姐一致
%Init_Y(1:2:2*Busnum)=1e-10;
%Init_Y(2:2:2*Busnum)=-1e-10;
tPU=GenU(:,2);% 发电机有功上限
tQU=GenU(:,3);% 发电机无功上限
tQU=PVQU(:,1);% 无功上限
tPL=GenL(:,2);% 发电机有功下限
tQL=GenL(:,3);% 发电机无功下限
tQL=PVQL(:,1);% 无功下限
%PG(4:5)=[4.5 4.5];
PG(PVi)=(tPU+tPL)/2;
PG(PGi)=(tPU+tPL)/2;
%QG(4:5)=[0 1.45];
QG(PVi)=(tQU+tQL)/2;
wD=ones(Busnum,1);
PD=.5*PD0
end

8
OPF_Init.m
View File

@ -1,5 +1,5 @@
function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL)
RestraintCount=size(PVi,1)+size(PGi,1)+Busnum; %约束条件数
function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wD,PD]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0)
RestraintCount=size(PVi,1)+size(PGi,1)+Busnum*2; %约束条件数
t_Bal_volt=Volt(Balance);
Volt=ones(1,Busnum);
Volt(Balance)=t_Bal_volt;
@ -22,4 +22,8 @@ tQL=PVQL(:,1);%
PG(PGi)=(tPU+tPL)/2;
%QG(4:5)=[0 1.45];
QG(PVi)=(tQU+tQL)/2;
wD=ones(Busnum,1);
wD(Balance)=0;
PD=.5*PD0;
PD(PD==0)=.2;
end

5
ObjectiveFun.m Normal file
View File

@ -0,0 +1,5 @@
function [out_arg]=ObjectiveFun(PG,PGi,PD,PD0,wD)
t3=wD.*((PD-PD0).*(PD-PD0));
out_arg= sum(t3);
end

4
SolveIt.m
View File

@ -9,13 +9,13 @@ aa=[
];
yy=[LxComa;-Ly];
%% 平衡节点电压不变
t=size(PVi,1)+size(PGi,1);
t=size(PVi,1)+size(PGi,1)+Busnum;
aa(t+Balance,:)=0;
aa(:,t+Balance)=0;
aa(t+Balance,t+Balance)=1;
deltG(t+Balance,:)=0;
%%
t=size(PVi,1)+size(PGi,1)+Busnum;
t=size(PVi,1)+size(PGi,1)+Busnum*2;
aa(t+Balance,:)=0;
aa(:,t+Balance)=0;
aa(t+Balance,t+Balance)=1;

2
func_ddg.m
View File

@ -1,6 +1,6 @@
function ddg=func_ddg(PGi,PVi,Busnum,RestraintCount)
t=zeros(size(PVi,1)+size(PGi,1)+2*Busnum,RestraintCount);
t=zeros(size(PVi,1)+size(PGi,1)+3*Busnum,RestraintCount);
ddg=t;
end

6
func_ddh3.m
View File

@ -1,6 +1,6 @@
function ddh=func_ddh3(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi,Y)
%决定用循环重写
ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2;
ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*3;
%deltaPi/deltaThytai_deltaThytaj 非对角元素
% dPidTidTj=zeros(Busnum);
% t1=-Volt'*Volt;
@ -406,8 +406,8 @@ ddQdVdV=t1+t2;
t=[ddPdVdV+ddQdVdV,ddPdTdV+ddQdTdV ;
ddPdVdT+ddQdVdT,ddPdTdT+ddQdTdT;
];
t=[zeros(size(PGi,1)+size(PVi,1),ContrlCount);
zeros(2*Busnum,size(PVi,1)+size(PGi,1)),-t;
t=[zeros(size(PGi,1)+size(PVi,1)+Busnum,ContrlCount);
zeros(2*Busnum,size(PVi,1)+size(PGi,1)+Busnum),-t;
];
ddh=t;
end

26
func_deltF.asv
View File

@ -1,14 +1,18 @@
function deltF=func_deltF(PG,GB,Balance,PVi,AngleIJMat,GenC)
t1=PG(PVi);
t2=Volt'*Volt;
t3=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t4=t2.*t3;
t5=sum(t4,2);
PBal=t5(Balance);
PPG=([PG',PBal])';
function deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi,wD,PD0,PD)
%t1=PG(setdiff(PVi,Balance));
% t2=Volt'*Volt;
% t3=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
% t4=t2.*t3;
% t5=sum(t4,2);
% PBal=t5(Balance);
% PPG=([PQ(1),PBal])';%暂时用土办法处理一下
%%
c2=GenC(:,1);
c1=GenC(:,2);
t1=PPG.*c2+c1;
t1=2*wD.*(PD-PD0);
deltF=[
zeros(size(PGi));
zeros(size(PVi));
t1;
zeros(ContrlCount-size(PGi,1)-,1);
];
end

10
func_deltF.m
View File

@ -1,4 +1,4 @@
function deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi)
function deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi,wD,PD0,PD,Busnum)
%t1=PG(setdiff(PVi,Balance));
% t2=Volt'*Volt;
% t3=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
@ -7,12 +7,12 @@ function deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi)
% PBal=t5(Balance);
% PPG=([PQ(1),PBal])';%暂时用土办法处理一下
%%
c2=GenC(:,2);
c1=GenC(:,3);
t1=2*PG(PGi).*c2+c1;
t1=2*wD.*(PD-PD0);
deltF=[
zeros(size(PGi));
zeros(size(PVi));
t1;
zeros(ContrlCount-size(PGi,1),1);
zeros(2*Busnum,1);
];
end

86
func_deltG.asv
View File

@ -1,78 +1,30 @@
function deltG=func_deltG(Busnum,PVi,GB,Volt,UAngel,indexi,indexj,PGi)
function deltG=func_deltG(Busnum,PVi,PGi)
dg1_dPg=eye(size(PGi,1));
dg2_dPg=zeros(size(PGi,1));
dg2_dPg=zeros(size(PGi,1),size(PVi,1));
dg3_dPg=zeros(size(PGi,1),Busnum);
dg4_dPg=zeros(size(PGi,1),Busnum);
%%
dg1_dQr=zeros(size(PVi,1));
dg1_dQr=zeros(size(PVi,1),size(PGi,1));
dg2_dQr=eye(size(PVi,1));
dg3_dQr=zeros(size(PVi,1),Busnum);
dg4_dQr=zeros(size(PVi,1),Busnum);
%%
dg1_dx=zeros(2*Busnum,2);
dg2_dx=zeros(2*Busnum,2);
dg3_dx=zeros(2*Busnum,Busnum);
for I=1:Busnum
dg3_dx(2*I,I)=1;
end
dg4_dx=zeros(2*Busnum,Busnum);
indexi=indexi';
indexj=indexj';
%% Ïß·
t1=Volt(indexi).*Volt(indexj);
t2=real(...
GB( ...
sub2ind(size(GB),indexi,indexj) ...
...
)...
).*...
sin(...
UAngel(indexi)'-UAngel(indexj)'...
);
t3=imag(...
GB( sub2ind(size(GB),indexi,indexj) )...
).*...
cos(...
UAngel(indexi)'-UAngel(indexj)'...
);
dPij_dThytai=t1.*(t2-t3)';
%%
t1=-Volt(indexj);
t2=real(...
GB( ...
sub2ind(size(GB),indexi,indexj) ...
...
)...
).*...
cos(...
UAngel(indexi)'-UAngel(indexj)' ...
);
t3=imag(...
GB( sub2ind(size(GB),indexi,indexj) )...
).*...
sin(...
UAngel(indexi)'-UAngel(indexj)'...
);
t4=2*Volt(indexi).*real(...
GB( sub2ind(size(GB),indexi,indexj) )...
)';
dPij_dVi=t4+t1.*(t2+t3)';
dPij_dVj=-Volt(indexi).*(t2+t3)';
%% ¿ªÊ¼ÐγÉdg4_dx
for I=1:size(indexi,1)
dg4_dx(2*indexi(I)-1,I)=dPij_dThytai(I);
dg4_dx(2*indexj(I)-1,I)=-dPij_dThytai(I);
dg4_dx(2*indexi(I),I)=dPij_dVi(I);
dg4_dx(2*indexj(I),I)=dPij_dVj(I);
dg1_dPD=zeros(Busnum,size(PGi,1));
dg2_dPD=zeros(Busnum,size(PVi,1));
dg3_dPD=zeros(Busnum,Busnum);
dg4_dPD=zeros(Busnum,2*Busnum);
%%
dg1_dx=zeros(2*Busnum,size(PGi,1));
dg2_dx=zeros(2*Busnum,size(PVi,1));
dg3_dx=zeros(2*Busnum,Busnum);
dg4_dx=zeros(2*Busnum,Busnum);
for I=1:Busnum
%dg3_dx(2*I,I)=1;ÔÝĘą¸ÄŇťĎÂ
dg4_dx(I,I)=1;
end
%%
deltG=[dg1_dPg,dg2_dPg,dg3_dPg,dg4_dPg;
dg1_dQr,dg2_dQr,dg3_dQr,dg4_dQr;
dg1_dx,dg2_dx,dg3_dx,dg4_dx;
deltG=[dg1_dPg,dg2_dPg,dg3_dPg;
dg1_dQr,dg2_dQr,dg3_dQr;
dg1_dPD,dg1_dPD,dg3_dPD,dg4_dPD;
dg1_dx,dg2_dx,dg3_dx;
];

17
func_deltG.m
View File

@ -2,20 +2,29 @@ function deltG=func_deltG(Busnum,PVi,PGi)
dg1_dPg=eye(size(PGi,1));
dg2_dPg=zeros(size(PGi,1),size(PVi,1));
dg3_dPg=zeros(size(PGi,1),Busnum);
dg4_dPg=zeros(size(PGi,1),Busnum);
%%
dg1_dQr=zeros(size(PVi,1),size(PGi,1));
dg2_dQr=eye(size(PVi,1));
dg3_dQr=zeros(size(PVi,1),Busnum);
dg4_dQr=zeros(size(PVi,1),Busnum);
%%
dg1_dPD=zeros(Busnum,size(PGi,1));
dg2_dPD=zeros(Busnum,size(PVi,1));
dg3_dPD=eye(Busnum,Busnum);
dg4_dPD=zeros(Busnum,Busnum);
%%
dg1_dx=zeros(2*Busnum,size(PGi,1));
dg2_dx=zeros(2*Busnum,size(PVi,1));
dg3_dx=zeros(2*Busnum,Busnum);
dg4_dx=zeros(2*Busnum,Busnum);
for I=1:Busnum
%dg3_dx(2*I,I)=1;ÔÝĘą¸ÄŇťĎÂ
dg3_dx(I,I)=1;
dg4_dx(I,I)=1;
end
%%
deltG=[dg1_dPg,dg2_dPg,dg3_dPg;
dg1_dQr,dg2_dQr,dg3_dQr;
dg1_dx,dg2_dx,dg3_dx;
deltG=[dg1_dPg,dg2_dPg,dg3_dPg,dg4_dPg;
dg1_dQr,dg2_dQr,dg3_dQr,dg4_dQr;
dg1_dPD,dg2_dPD,dg3_dPD,dg4_dPD;
dg1_dx,dg2_dx,dg3_dx,dg4_dx;
];

3
func_deltH.m
View File

@ -13,8 +13,9 @@ for I=1:size(PVi,1)
%dH_dQr(I,2*PVi(I))=1;暂时改一下20111227
dH_dQr(I,PVi(I)+Busnum)=1;
end
dH_dPD=[-eye(Busnum) zeros(Busnum)];
Angle=angle(GB);
dH_dx = jacobian_M3(Busnum,Volt,Y,Angle,AngleIJMat); %形成雅克比矩阵
%deltH=[dH_dPg;dH_dQr;dH_dx'];%dH_dx 需要使用一下转置 暂时改一下
deltH=[dH_dPg;dH_dQr;dH_dx'];
deltH=[dH_dPg;dH_dQr;dH_dPD;dH_dx'];
end

9
func_deltdeltF.m
View File

@ -1,8 +1,9 @@
function deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi)
function deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi,wD,PD0)
ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; %P,Q,Volt theta这些控制变量数
deltdeltF=[diag(GenC(:,2))*2,zeros(size(GenC,1),ContrlCount-size(GenC,1));
zeros(ContrlCount-size(GenC,1),ContrlCount);
ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*3; %P,Q,Volt theta这些控制变量数
C=[zeros(size(PGi))' zeros(size(PVi))' wD'];
deltdeltF=[diag(C)*2,zeros(size(C,2),ContrlCount-size(C,2));
zeros(ContrlCount-size(C,2),ContrlCount);
];
end