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我的OPF程序 

Signed-off-by: dmy@lab <dmy@lab.lab>
This commit is contained in:
dmy@lab 2015-06-05 14:17:10 +08:00
commit 7566fd250f
55 changed files with 11163 additions and 0 deletions
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1
.gitignore vendored Normal file
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*.asv

32
5sj.txt Normal file
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5 5 1. 50 .1
1.e-5 2
1 5
0
1 1 2 0.04 0.25 0.25
2 1 3 0.1 0.35 0
3 2 3 0.08 0.30 0.25
0
0
1 2 4 0 0.015 1.05 1 1.06
2 3 5 0 0.03 1.05 1 1.06
0
1 0 0 1.6 0.8
2 0 0 2 1
3 0 0 3.7 1.3
4 5 0 0 0
5 0 0 0 0
0
4 1.05 -3 3
5 1.05 -2.1 5
0
4 1200.6485 200.4335 50.439 1 8
5 1857.201 500.746 200.55 1 8
0
1 1 2 2
2 1 3 0.65
3 2 3 2
4 2 4 6
5 3 5 5
0
0
0

9
AssignXX.m Normal file
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function [deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX)
deltZ=XX(1:14);
deltL=XX(15:28);
deltW=XX(29:42);
deltU=XX(43:56);
deltX=XX(57:70);
deltY=XX(71:80);
end

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AssignXX1.m Normal file
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function [deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX1(XX,ContrlCount,RestraintCount,Busnum)
% deltX=XX(1:14);
% deltY=XX(15:24);
% deltZ=XX(25:38);
% deltW=XX(39:52);
% deltL=XX(53:66);
% deltU=XX(67:80);
deltX=XX(1:ContrlCount);
k1=ContrlCount+2*Busnum;
deltY=XX(ContrlCount+1:k1);
k2=k1;
k1=k2+RestraintCount;
deltZ=XX(k2+1:k1);
k2=k1;
k1=k2+RestraintCount;
deltW=XX(k2+1:k1);
k2=k1;
k1=k2+RestraintCount;
deltL=XX(k2+1:k1);
k2=k1;
k1=k2+RestraintCount;
deltU=XX(k2+1:k1);
end

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CalCost.m Normal file
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function CalCost(GenC,PG,PGi)
cost=GenC(:,2).*PG(PGi).^2+GenC(:,3).*PG(PGi)+GenC(:,4);
% Org_PG=[5;
% 2.5794];
% book_PG=[5.5056;
% 2.1568];
% cost2=GenC(:,2).*Org_PG(1:2).^2+GenC(:,3).*Org_PG(1:2)+GenC(:,4);
% cost3=GenC(:,2).*book_PG(1:2).^2+GenC(:,3).*book_PG(1:2)+GenC(:,4);
fprintf('总花费为%f\n',sum(cost,1));
% fprintf('PF总花费为%f\n',sum(cost2,1));
% fprintf('书上OPF总花费为%f\n',sum(cost3,1));
% fprintf('较书上减少费用为为%f\n',sum(cost3,1)-sum(cost,1));
end

6
DrawGap.m Normal file
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function DrawGap(plotGap)
x=find(plotGap);
ts=size(x,2);
plot(1:ts,plotGap(1:ts));
end

12
FormAA.m Normal file
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function AA=FormAA(L_1Z,deltG,U_1W,Hcoma,deltH)
tOnes=eye(14);
tZeros=zeros(14);
AA=[
tOnes,L_1Z,tZeros,tZeros,tZeros,zeros(14,10);
tZeros,tOnes,tZeros,tZeros,-deltG',zeros(14,10);
tZeros,tZeros,tOnes,U_1W,tZeros,zeros(14,10);
tZeros,tZeros,tZeros,tOnes,deltG',zeros(14,10);
tZeros,tZeros,tZeros,tZeros,Hcoma,deltH;
zeros(10,14),zeros(10,14),zeros(10,14),zeros(10,14),deltH',zeros(10,10);
];
end

17
FormAA1.m Normal file
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function AA=FormAA1(deltG,deltdeltF,ddh,ddg,deltH,Init_L,Init_U,Init_W,Init_Z,Busnum,PVi,PGi,RestraintCount,Balance)
ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2;
H=-deltdeltF+ddh;%+ddg;
AA=[
H,deltH,deltG,deltG,zeros(ContrlCount,RestraintCount),zeros(ContrlCount,RestraintCount);
deltH',zeros(2*Busnum,2*Busnum),zeros(2*Busnum,RestraintCount),zeros(2*Busnum,RestraintCount),zeros(2*Busnum,RestraintCount),zeros(2*Busnum,RestraintCount);
deltG',zeros(RestraintCount,2*Busnum),zeros(RestraintCount,RestraintCount),zeros(RestraintCount,RestraintCount),-eye(RestraintCount,RestraintCount),zeros(RestraintCount,RestraintCount);
deltG',zeros(RestraintCount,2*Busnum),zeros(RestraintCount),zeros(RestraintCount),zeros(RestraintCount),eye(RestraintCount);
zeros(RestraintCount,ContrlCount),zeros(RestraintCount,2*Busnum),diag(Init_L),zeros(RestraintCount),diag(Init_Z),zeros(RestraintCount);
zeros(RestraintCount,ContrlCount),zeros(RestraintCount,2*Busnum),zeros(RestraintCount),diag(Init_U),zeros(RestraintCount),diag(Init_W);
];
%´¦Àíƽºâ½Úµã
t=size(PVi,1)+size(PGi,1);
AA(t+2*Balance-1,:)=0;
AA(:,t+2*Balance-1)=0;
AA(t+2*Balance-1,t+2*Balance-1)=1;
end

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FormAlphaD.m Normal file
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function AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW)
tdeltZinx=find(deltZ<0);
tdeltWinx=find(deltW>0);
t1=-Init_Z(tdeltZinx)./deltZ(tdeltZinx)';
t2=-Init_W(tdeltWinx)./deltW(tdeltWinx)';
t3=[t1,t2];
t4=min(t3);
AlphaD=0.9995*min([t4 1]);
end

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FormAlphaP.m Normal file
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function AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU)
tdeltLinx=find(deltL<0);
tdeltUinx=find(deltU<0);
t1=-Init_L(tdeltLinx)./deltL(tdeltLinx)';
t2=-Init_U(tdeltUinx)./deltU(tdeltUinx)';
t3=[t1,t2];
t4=min(t3);
AlphaP=0.9995*min([t4 1]);
end

20
FormG.m Normal file
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function Mat_G=FormG(Volt,PVi,PGi,PG,QG)
%t1=PG(PVi);
%GP=t1;%发电机P
%GP=[4.5 4.5]';
%%线路
%发电机Q
% t1=Volt'*Volt;
% t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
% t3=t1.*t2;
% t4=sum(t3,2);%发电机Q
%GQ=t4;
Mat_G=[
%GP;
PG(PGi);
QG(PVi);
%GQ(PVi);
%[0 1.45]';
Volt';
];
end

24
FormH.m Normal file
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function Mat_H=FormH(Busnum,GB,AngleIJMat,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle)
t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t2=Volt'*Volt;
t3=t1.*t2;
t4=sum(-t3,2);%P
t5=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t6=t2.*t5;
t7=sum(-t6,2);%Q
t8=PG-PD;
t9=QG-QD;
% Mat_H(1:2:2*Busnum)=t8(1:Busnum)+t4(1:Busnum);
% Mat_H(2:2:2*Busnum)=t9(1:Busnum)+t7(1:Busnum);
% Mat_H=Mat_H';
%%%%Ò»ÏÂÊÇѧ½ã¸øµÄ¹«Ê½
%AngleIJ=AngleIJMat-angle(GB);
AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle',Busnum,Busnum);
%dP=PG-PD-diag(Volt)*Y*cos(AngleIJ)*Volt';
dP=PG-PD-diag(Volt)*Y.*cos(AngleIJ)*Volt';
dQ=QG-QD-diag(Volt)*Y.*sin(AngleIJ)*Volt';
Mat_H=[dP;dQ;];
end

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FormLw.m Normal file
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function Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU)
PU=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])';
t2=Mat_G+Init_U'-t1;
Lw=t2;
end

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FormLx.m Normal file
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function Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W)
t1=deltF-deltH*Init_Y'-deltG*(Init_Z'+Init_W');
Lx=t1;
end

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FormLxComa.m Normal file
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function LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw,Lx)
%t1=deltG*(Init_Z'+Init_W');%%
t2=Lul+diag(Init_Z)*Lz;
t3=inv(diag(Init_L));
t4=t3*t2;%
t5=Luu-diag(Init_W)*Lw;
t6=inv(diag(Init_U));
t7=t6*t5;%
t8=deltG*(t4+t7);%%
LxComa=Lx+t8;
end

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FormLz.m Normal file
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function Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL)
PL=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])';
t2=Mat_G-Init_L'-t1;
Lz=t2;
end

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FormYY.m Normal file
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function YY=FormYY(Init_L,Lul,Lz,Ly,Init_U,Luu,Lw,LxComa)
t=[
-inv(diag(Init_L))*Lul;
Lz;
-inv(diag(Init_U))*Luu;
-Lw;
LxComa;
-Ly;
];
YY=t;
end

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FormYY1.m Normal file
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function YY=FormYY1(Lul,Lz,Ly,Luu,Lw,Lx)
YY=[
Lx;
-Ly;
-Lz;
-Lw;
-Lul;
-Luu;
];
end

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398
IEEE118.dat Normal file
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118 179 100 28 0.1
1.e-5 2
1 69
0
1 1 2 0.0303 0.0999 0.0127
2 1 3 0.0129 0.0424 0.00541
3 4 5 0.00176 0.00798 0.00105
4 3 5 0.0241 0.1080 0.0142
5 5 6 0.0119 0.0540 0.00713
6 6 7 0.00459 0.0208 0.00275
7 8 9 0.00244 0.0305 0.5810
9 9 10 0.00258 0.0322 0.6150
10 4 11 0.0209 0.0688 0.00874
11 5 11 0.0203 0.0682 0.00869
12 11 12 0.00595 0.0196 0.00251
13 2 12 0.0187 0.0616 0.00786
14 3 12 0.0484 0.1600 0.0203
15 7 12 0.00862 0.0340 0.00437
16 11 13 0.02225 0.0731 0.00938
17 12 14 0.0215 0.0707 0.00908
18 13 15 0.0744 0.2444 0.03134
19 14 15 0.0595 0.1950 0.0251
20 12 16 0.0212 0.0834 0.0107
21 15 17 0.0132 0.0437 0.0222
22 16 17 0.0454 0.1801 0.0233
23 17 18 0.0123 0.0505 0.00649
24 18 19 0.01119 0.0493 0.00571
25 19 20 0.0252 0.1170 0.0149
26 15 19 0.0120 0.0394 0.00505
27 20 21 0.0183 0.0849 0.0108
28 21 22 0.0209 0.0970 0.0123
29 22 23 0.0342 0.1590 0.0202
30 23 24 0.0135 0.0492 0.0249
31 23 25 0.0156 0.0800 0.0432
33 25 27 0.0318 0.1630 0.0882
34 27 28 0.01913 0.0855 0.0108
35 28 29 0.0237 0.0943 0.0119
37 8 30 0.00431 0.0504 0.2570
38 26 30 0.00799 0.0860 0.4540
39 17 31 0.0474 0.1563 0.01995
40 29 31 0.0108 0.0331 0.00415
41 23 32 0.0317 0.1153 0.05865
42 31 32 0.0298 0.0985 0.01255
43 27 32 0.0229 0.0755 0.00963
44 15 33 0.0380 0.1244 0.01597
45 19 34 0.0752 0.2470 0.0316
46 35 36 0.00224 0.0102 0.00124
47 35 37 0.0110 0.0497 0.00659
48 33 37 0.0415 0.1420 0.0183
49 34 36 0.00871 0.0268 0.00284
50 34 37 0.00256 0.0094 0.00429
52 37 39 0.0321 0.1060 0.0135
53 37 40 0.0593 0.1680 0.0210
54 30 38 0.00464 0.0540 0.2110
55 39 40 0.0184 0.0605 0.00776
56 40 41 0.0145 0.0487 0.00611
57 40 42 0.0555 0.1830 0.0233
58 41 42 0.0410 0.1350 0.0172
59 43 44 0.0608 0.2454 0.03034
60 34 43 0.0413 0.1681 0.02113
61 44 45 0.0224 0.0901 0.0112
62 45 46 0.0400 0.1356 0.0166
63 46 47 0.0380 0.1270 0.0158
64 46 48 0.0601 0.1890 0.0236
65 47 49 0.0191 0.0625 0.00802
66 42 49 0.03575 0.1615 0.0860
67 45 49 0.0684 0.1860 0.0222
68 48 49 0.0179 0.0505 0.00629
69 49 50 0.0267 0.0752 0.00937
70 49 51 0.0486 0.1370 0.0171
71 51 52 0.0203 0.0588 0.00698
72 52 53 0.0405 0.1635 0.02029
73 53 54 0.0263 0.1220 0.0155
74 49 54 0.03976 0.1450 0.0734
75 54 55 0.0169 0.0707 0.0101
76 54 56 0.00275 0.00955 0.00366
77 55 56 0.00488 0.0151 0.00187
78 56 57 0.0343 0.0966 0.0121
79 50 57 0.0474 0.1340 0.0166
80 56 58 0.0343 0.0966 0.0121
81 51 58 0.0255 0.0719 0.00894
82 54 59 0.0503 0.2293 0.0299
83 56 59 0.04069 0.12243 0.05525
84 55 59 0.04739 0.2158 0.02823
85 59 60 0.0317 0.1450 0.0188
86 59 61 0.0328 0.1500 0.0194
87 60 61 0.00264 0.0135 0.00728
88 60 62 0.0123 0.0561 0.00734
89 61 62 0.00824 0.0376 0.0049
91 63 64 0.00172 0.0200 0.1080
93 38 65 0.00901 0.0986 0.5230
94 64 65 0.00269 0.0302 0.1900
95 49 66 0.0090 0.04595 0.0248
96 62 66 0.0482 0.2180 0.0289
97 62 67 0.0258 0.1170 0.0155
99 66 67 0.0224 0.1015 0.01341
100 65 68 0.00138 0.0160 0.3190
101 47 69 0.0844 0.2778 0.03546
102 49 69 0.0985 0.3240 0.0414
104 69 70 0.0300 0.1270 0.0610
105 24 70 0.10221 0.4115 0.05099
106 70 71 0.00882 0.0355 0.00439
107 24 72 0.0488 0.1960 0.0244
108 71 72 0.0446 0.1800 0.02222
109 71 73 0.00866 0.0454 0.00589
110 70 74 0.0401 0.1323 0.01684
111 70 75 0.0428 0.1410 0.0180
112 69 75 0.0405 0.1220 0.0620
113 74 75 0.0123 0.0406 0.00517
114 76 77 0.0444 0.1480 0.0184
115 69 77 0.0309 0.1010 0.0519
116 75 77 0.0601 0.1999 0.02489
117 77 78 0.00376 0.0124 0.00632
118 78 79 0.00546 0.0244 0.00324
119 77 80 0.01077 0.03318 0.0350
120 79 80 0.0156 0.0704 0.00945
121 68 81 0.00175 0.0202 0.4040
123 77 82 0.0298 0.0853 0.04087
124 82 83 0.0112 0.03665 0.01898
125 83 84 0.0625 0.1320 0.0129
126 83 85 0.0430 0.1480 0.0174
127 84 85 0.0302 0.0641 0.00617
128 85 86 0.0350 0.1230 0.0138
129 86 87 0.02828 0.2074 0.02225
130 85 88 0.0200 0.1020 0.0138
131 85 89 0.0239 0.1730 0.0235
132 88 89 0.0139 0.0712 0.00969
133 89 90 0.01631 0.06515 0.0794
134 90 91 0.0254 0.0836 0.0107
135 89 92 0.00791 0.03827 0.0481
136 91 92 0.0387 0.1272 0.01634
137 92 93 0.0258 0.0848 0.0109
138 92 94 0.0481 0.1580 0.0203
139 93 94 0.0223 0.0732 0.00938
140 94 95 0.0132 0.0434 0.00555
141 80 96 0.0356 0.1820 0.0247
142 82 96 0.0162 0.0530 0.0272
143 94 96 0.0269 0.0869 0.0115
144 80 97 0.0183 0.0934 0.0127
145 80 98 0.0238 0.1080 0.0143
146 80 99 0.0454 0.2060 0.0273
148 94 100 0.0178 0.0580 0.0302
149 95 96 0.0171 0.0547 0.00737
150 96 97 0.0173 0.0885 0.0120
151 98 100 0.0397 0.1790 0.0238
152 99 100 0.0180 0.0813 0.0108
153 100 101 0.0277 0.1262 0.0164
154 92 102 0.0123 0.0559 0.00732
155 101 102 0.0246 0.1120 0.0147
156 100 103 0.0160 0.0525 0.0268
157 100 104 0.0451 0.2040 0.02705
158 103 104 0.0466 0.1584 0.02035
159 103 105 0.0535 0.1625 0.0204
160 100 106 0.0605 0.2290 0.0310
161 104 105 0.00994 0.0378 0.00493
162 105 106 0.0140 0.0547 0.00717
163 105 107 0.0530 0.1830 0.0236
164 105 108 0.0261 0.0703 0.09222
166 108 109 0.0105 0.0288 0.0038
167 103 110 0.03906 0.1813 0.02305
168 109 110 0.0278 0.0762 0.0101
169 110 111 0.0220 0.0755 0.0100
170 110 112 0.0247 0.0640 0.0310
171 17 113 0.00913 0.0301 0.00384
172 32 113 0.0615 0.2030 0.0259
173 32 114 0.0135 0.0612 0.00814
174 27 115 0.0164 0.0741 0.00986
175 114 115 0.0023 0.0104 0.00138
176 68 116 0.00034 0.00405 0.0820
177 12 117 0.0329 0.1400 0.0179
178 75 118 0.01450 0.04810 0.00599
179 76 118 0.0164 0.0544 0.00678
0
5 -0.4
17 0.
34 .14
37 -0.25
44 .1
45 .1
46 .1
48 .15
74 .12
79 .2
82 .2
83 .1
105 .2
107 .06
110 .06
0
1 8 5 0.0 0.0267 0.9850 0.9 1.1
2 25 26 0.0 0.0382 0.9600 0.9 1.1
3 17 30 0.0 0.0388 0.9600 0.9 1.1
4 37 38 0.0 0.0375 0.9350 0.9 1.1
5 59 63 0.0 0.0386 0.9600 0.9 1.1
6 61 64 0.0 0.0268 0.9850 0.9 1.1
7 65 66 0.0 0.0370 0.9350 0.9 1.1
8 68 69 0.0 0.0370 0.9350 0.9 1.1
9 80 81 0.0 0.0370 0.9350 0.9 1.1
10 92 100 0.0648 0.2950 1. 0.9 1.1
11 106 107 0.0530 0.1830 1. 0.9 1.1
0
1 0. 0. 51. 27.
2 0. 0. 20. 9.
3 0. 0. 39. 10.
4 -9. 0. 30. 12.
5 0. 0. 0. 0.
6 0. 0. 52. 22.
7 0. 0. 19. 2.
8 -28. 0. 0. 0.
9 0. 0. 0. 0.
10 450. 0. 0. 0.
11 0. 0. 70. 23.
12 85. 0. 47. 10.
13 0. 0. 34. 16.
14 0. 0. 14. 1.
15 0. 0. 90. 30.
16 0. 0. 25. 10.
17 0. 0. 11. 3.
18 0. 0. 60. 34.
19 0. 0. 45. 25.
20 0. 0. 18. 3.
21 0. 0. 14. 8.
22 0. 0. 10. 5.
23 0. 0. 7. 3.
24 -13. 0. 0. 0.
25 220. 0. 0. 0.
26 314. 0. 0. 0.
27 -9. 0. 62. 13.
28 0. 0. 17. 7.
29 0. 0. 24. 4.
30 0. 0. 0. 0.
31 7. 0. 43. 27.
32 0. 0. 59. 23.
33 0. 0. 23. 9.
34 0. 0. 59. 26.
35 0. 0. 33. 9.
36 0. 0. 31. 17.
37 0. 0. 0. 0.
38 0. 0. 0. 0.
39 0. 0. 27. 11.
40 -46. 0. 20. 23.
41 0. 0. 37. 10.
42 -59. 0. 37. 23.
43 0. 0. 18. 7.
44 0. 0. 16. 8.
45 0. 0. 53. 22.
46 19. 0. 28. 10.
47 0. 0. 34. 0.
48 0. 0. 20. 11.
49 204. 0. 87. 30.
50 0. 0. 17. 4.
51 0. 0. 17. 8.
52 0. 0. 18. 5.
53 0. 0. 23. 11.
54 48. 0. 113. 32.
55 0. 0. 63. 22.
56 0. 0. 84. 18.
57 0. 0. 12. 3.
58 0. 0. 12. 3.
59 155. 0. 277. 113.
60 0. 0. 78. 3.
61 160. 0. 0. 0.
62 0. 0. 77. 14.
63 0. 0. 0. 0.
64 0. 0. 0. 0.
65 391. 0. 0. 0.
66 392. 0. 39. 18.
67 0. 0. 28. 7.
68 0. 0. 0. 0.
69 516.4 0. 0. 0.
70 0. 0. 66. 20.
71 0. 0. 0. 0.
72 -12. 0. 0. 0.
73 -6. 0. 0. 0.
74 0. 0. 68. 27.
75 0. 0. 47. 11.
76 0. 0. 68. 36.
77 0. 0. 61. 28.
78 0. 0. 71. 26.
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97 3.250
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0
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89 29 230 0.0010 0.0146 1.0000 0.9000 1.1000
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91 41 158 0.0000 0.0238 1.0000 0.9000 1.1000
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146 0.00 0.00 90.00 49.00
230 0.00 0.00 56.00 15.00
292 0.00 0.00 20.00 0.00
70 0.00 0.00 0.00 0.00
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74 0.00 0.00 58.00 10.00
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286 0.00 0.00 126.70 23.00
149 0.00 0.00 0.00 0.00
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150 0.00 0.00 0.00 0.00
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158 0.00 0.00 227.00 110.00
276 0.00 0.00 0.00 0.00
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169 0.00 0.00 60.30 0.00
278 0.00 0.00 39.90 0.00
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251 0.00 0.00 30.70 0.00
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253 0.00 0.00 14.10 650.00
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177 0.00 0.00 78.00 1.40
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180 0.00 0.00 0.00 0.00
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185 0.00 0.00 595.00 83.30
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101 0.00 0.00 0.00 0.00
282 0.00 0.00 24.00 14.00
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195 0.00 0.00 0.00 0.00
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260 0.00 0.00 176.00 83.00
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201 0.00 0.00 73.40 0.00
119 0.00 0.00 240.70 89.00
120 0.00 0.00 40.00 4.00
121 0.00 0.00 136.80 16.60
3 200.00 0.00 0.00 0.00
122 1200.00 0.00 59.80 24.30
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262 0.00 0.00 182.60 43.60
202 0.00 0.00 7.00 2.00
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134 0.00 0.00 428.00 232.00
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135 0.00 0.00 0.00 0.00
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219 0.00 0.00 223.00 148.00
220 0.00 0.00 96.00 46.00
7 345.00 0.00 0.00 0.00
290 0.00 0.00 159.00 107.00
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266 0.00 0.00 572.00 244.00
137 0.00 0.00 269.00 157.00
9 600.00 0.00 0.00 0.00
285 0.00 0.00 0.00 0.00
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28 467.00 0.00 0.00 0.00
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45 700.00 0.00 0.00 0.00
46 553.00 0.00 0.00 0.00
269 0.00 0.00 0.00 0.00
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270 0.00 0.00 0.86 0.28
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0
148 1.0153 -10.00 10.00
73 1.0205 -20.00 20.00
232 1.0010 -20.00 20.00
159 0.9583 -25.00 25.00
161 0.9632 12.00 35.00
1 1.0250 -240.00 240.00
167 1.0520 -11.00 96.00
168 1.0520 -153.00 153.00
92 1.0000 -30.00 56.00
174 0.9900 -24.00 77.00
254 1.0435 -500.00 1500.00
178 1.0233 -60.00 120.00
179 1.0103 -25.00 200.00
100 1.0550 -125.00 350.00
186 1.0510 -50.00 75.00
281 1.0435 -100.00 300.00
258 1.0528 -15.00 35.00
102 1.0528 -50.00 100.00
103 1.0735 -25.00 50.00
106 1.0535 -50.00 175.00
189 1.0435 -50.00 90.00
108 0.9630 -10.00 15.00
116 0.9290 -40.00 90.00
2 0.9829 -50.00 150.00
199 1.0522 -45.00 90.00
117 1.0077 -15.00 35.00
3 1.0522 -50.00 80.00
122 1.0650 -100.00 400.00
123 1.0650 -100.00 400.00
203 1.0551 -300.00 300.00
124 1.0435 -1000.00 1000.00
289 1.0150 -260.00 260.00
4 1.0100 -150.00 150.00
265 1.0080 -60.00 60.00
133 1.0000 -320.00 320.00
5 1.0500 -300.00 300.00
6 1.0000 -300.00 300.00
7 1.0400 -250.00 250.00
8 1.0000 -500.00 500.00
9 1.0165 -300.00 300.00
221 1.0100 -200.00 200.00
10 1.0000 -400.00 400.00
11 1.0500 -600.00 600.00
222 0.9930 40.00 100.00
139 1.0100 40.00 80.00
28 1.0507 -210.00 210.00
29 1.0507 -280.00 280.00
30 1.0323 -420.00 420.00
31 1.0145 -100.00 100.00
32 1.0145 -224.00 224.00
33 1.0507 0.00 350.00
34 1.0507 0.00 120.00
35 1.0290 -224.00 224.00
36 1.0500 -200.00 200.00
37 1.0145 0.00 42.00
38 1.0507 -500.00 500.00
39 0.9967 0.00 25.00
40 1.0212 -90.00 90.00
41 1.0145 -150.00 150.00
42 1.0017 0.00 150.00
43 0.9893 0.00 87.00
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23
IEEE4.dat Normal file
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@ -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
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2 0. 0. 0.55 0.13
3 0.5 0. 0. 0.
4 0.36 0.26 0. 0.
0
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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

13
Initial.m Normal file
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@ -0,0 +1,13 @@
function [P0,Q0,U,Uangle] = Initial(PG,PD,PQstandard,Pointpoweri,QG,QD,Busnum)
%**************************************************************************
% 程序功能 : 子函数——计算功率不平衡分量等
% 编 者：
% 编制时间 ：2010.12
%**************************************************************************
%% 计算功率的不平衡分量
P0 = sparse(1, Pointpoweri,(PG-PD)/PQstandard); % 求取节点注入有功功率的标幺值
Q0 = sparse(1, Pointpoweri,(QG-QD)/PQstandard); % 求取节点注入无功功率的标幺值
%% 平启动赋电压初值
U = ones(1,Busnum); % 按照平启动给电压幅值赋值
Uangle = zeros(1,Busnum); % 按照平启动给电压相角赋值
end

22
Modification.m Normal file
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@ -0,0 +1,22 @@
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)
AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU);
fprintf('AlphaP %f\n',full(AlphaP));
AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW);
fprintf('AlphaD %f\n',full(AlphaD));
Init_Z=Init_Z+AlphaD*deltZ';
Init_L=Init_L+AlphaP*deltL';
Init_W=Init_W+AlphaD*deltW';
Init_U=Init_U+AlphaP*deltU';
Init_Y=Init_Y+AlphaD*deltY';
%PG(PGi)=PG(PGi)+deltX(1:size(PGi,1));
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(Busnum+Balance)=0;
%Volt=Volt+AlphaP*t(2:2:2*Busnum);ÔÝʱ¸ÄÒ»ÏÂ20111227
%UAngel=UAngel+AlphaP*t(1:2:2*Busnum);ÔÝʱ¸ÄÒ»ÏÂ20111227
Volt=Volt+AlphaP*t(1:Busnum);
UAngel=UAngel+AlphaP*t(Busnum+1:2*Busnum);
end

76
OPF.m Normal file
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tic
clear
%[kmax,Precision,UAngel,Volt,Busnum,PVi,PVu,Balance,Y,Angle,P0,Q0,r,c,GB,Linei,Linej,Transfori,Transforj,GenU,GenL,GenC,LineLimti,LineLimtj,LinePLimt,PG,QG,PD,QD,CenterA,LineCount,PGi,PVQU,PVQL]=pf('5sj.txt');
[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]=pf('C:\Users\dmy\Desktop\解南线_252750_2013-10-29_iPso_newFile.txt');
%PVi电压节点序号
%PVu电压节点电压标幺值
Volt;
UAngel*180/3.1415926;
%sprintf('%f\n',Volt);
%sprintf('%f\n',Angel);
%% 初值
PG=sparse(PG);
PD=sparse(PD);
QG=sparse(QG);
QD=sparse(QD);
[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);
Gap=(Init_L*Init_Z'-Init_U*Init_W');
KK=0;
plotGap=zeros(1,50);
ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2;
while(abs(Gap)>Precision)
if KK>kmax
break;
end
plotGap(KK+1)=Gap;
Init_u=Gap/2/RestraintCount*CenterA;
AngleIJMat=repmat(UAngel',1,Busnum)-repmat(UAngel,Busnum,1);
%% 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,UAngel,r,c,Angle);
%% 形成不等式约束的雅克比
deltG=func_deltG(Busnum,PVi,PGi);
%%
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);
%% 形成ddHy
ddh=func_ddh3(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi,Y,UAngel,r,c,Angle);
%% 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);
%% 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_H=FormH(Busnum,GB,AngleIJMat,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle);
Ly=Mat_H;
Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL);
Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU);
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);
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);
DrawGap(plotGap);
toc

19
OPF_Init.m Normal file
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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
t_Bal_volt=Volt(Balance);
Volt=sparse(ones(1,Busnum));
%Volt(Balance)=t_Bal_volt;
Volt(Balance)=1;
UAngel=sparse(1,Busnum);
Init_Z=sparse(ones(1,RestraintCount));
Init_W=sparse(-1*ones(1,RestraintCount));
Init_L=sparse(ones(1,RestraintCount));
Init_U=sparse(ones(1,RestraintCount));
Init_Y=sparse(1,2*Busnum);%与学姐一致
tPU=sparse(GenU(:,2));% 发电机有功上限
tQU=sparse(PVQU(:,1));% 无功上限
tPL=sparse(GenL(:,2));% 发电机有功下限
tQL=sparse(PVQL(:,1));% 无功下限
PG(PGi)=(tPU+tPL)/2;
QG(PVi)=(tQU+tQL)/2;
end

1
ReadMe.txt Normal file
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对照学姐给的公式

36
SolveIt.m Normal file
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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)
LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw,Lx);
H=-deltdeltF+ddh;%+ddg*(Init_Z'+Init_W');
t1=diag(Init_L.\Init_Z-Init_U.\Init_W);
t2=-deltG*( t1 )*deltG';
aa=[
(H+t2),deltH;
deltH',zeros(size(Init_Y,2));
];
yy=[LxComa;-Ly];
% t=size(PVi,1)+size(PGi,1);
% aa(t+2*Balance-1,:)=0;
% aa(:,t+2*Balance-1)=0;
% aa(t+2*Balance-1,t+2*Balance-1)=1;
%ÔÝʱ¸ÄÒ»ÏÂ
t=size(PVi,1)+size(PGi,1)+Busnum;
aa(t+Balance,:)=0;
aa(:,t+Balance)=0;
aa(t+Balance,t+Balance)=1;
dxdy=aa\yy;
dX=dxdy(1:ContrlCount);
dY=dxdy(ContrlCount+1:ContrlCount+2*Busnum);
dL=Lz+deltG'*dX;
dU=-Lw-deltG'*dX;
dZ=-diag(Init_L)\Lul-diag(Init_L)\diag(Init_Z)*dL;
dW=-diag(Init_U)\Luu-diag(Init_U)\diag(Init_W)*dU;
XX=[
dX;
dY;
dZ;
dW;
dL;
dU;
];
end

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admmatrix.m Normal file
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function [G,B,GB,Y,r,c,Angle] = admmatrix(Busnum,Linei,Linej,Liner,Linex,Lineb,Transfori...
,Transforj,Transforr,Transforx,Transfork0,Branchi,Branchb)
%**************************************************************************
% 程序功能 : 子函数——形成节点导纳矩阵Y
% 编 者：
% 编制时间：2010.12
%**************************************************************************
%% 支路导纳计算
G = -sparse(Linei,Linej,Liner./(Liner.^2+Linex.^2),Busnum,Busnum) - sparse(Linej,Linei,Liner./(Liner.^2+Linex.^2),Busnum,Busnum);
G = G - sparse(1:Busnum,1:Busnum,sum(G,2)'); % 计算各线路支路电导
B = sparse(Linei,Linej,Linex./(Liner.^2+Linex.^2),Busnum,Busnum)+sparse(Linej,Linei,Linex./(Liner.^2+Linex.^2),Busnum,Busnum);
B = B - sparse(1:Busnum,1:Busnum,sum(B,2)')+sparse(Linei,Linei,Lineb,Busnum,Busnum)+sparse(Linej,Linej,Lineb,Busnum,Busnum);
%% 变压器支路计算
if Transfori>0
mr = Transforr./(Transforr.^2+Transforx.^2); % 计算变压器支路电导
mx = -Transforx./(Transforr.^2+Transforx.^2); % 计算变压器支路电纳
G = G-sparse(Transfori,Transforj,mr./Transfork0,Busnum,Busnum)-sparse(Transforj,Transfori,mr./Transfork0,Busnum,Busnum)...
+sparse(Transfori,Transfori,mr./Transfork0./Transfork0,Busnum,Busnum)+sparse(Transforj,Transforj,mr,Busnum,Busnum);
B = B-sparse(Transfori,Transforj,mx./Transfork0,Busnum,Busnum)-sparse(Transforj,Transfori,mx./Transfork0,Busnum,Busnum)...
+sparse(Transfori,Transfori,mx./Transfork0./Transfork0,Busnum,Busnum)+sparse(Transforj,Transforj,mx,Busnum,Busnum);
end
%% 接地支路计算
if Branchi>0 % 判断有无接地支路
B = B+sparse(Branchi,Branchi,Branchb,Busnum,Busnum);
end
%% 化作极坐标形式
GB = G+B.*1i; %将电导，电纳合并，写成复数形式
Y = abs(GB); %求节点导纳幅值
[r,c] = find(Y);
Angle = angle(GB(GB~=0)); %求节点导纳角度
%Angle=angle(GB);

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function ddf=func_ddh(AngleIJMat,GB,Volt,Init_Y,Busnum)
%% deltaPi/deltaThytai_deltaThytaj 非对角元素
t1=-Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
dPdTidTj=t1.*t2; %%(保留了对角元素的)
dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的
t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数
dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));
t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat);
t3=t1.*t2;
dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的
t3=repmat(Init_Y,size(Init_Y,2),1);
dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@
%% deltaP/deltaThyta_deltaThyta 对角元素
t1=sum(-dPidTidTj_2,2);
t2=diag(t1'.*Init_Y(1:2:size(Init_Y,2)));%乘y的系数
t3=sum(-dPidTidTj_2,1);
t4=diag(t3.*Init_Y(1:2:size(Init_Y,2)));%乘y的系数
dPdTidTi=t2+t4;%%最终对角元素 @@
%% deltaP/deltaThytai_dVi 对角元素
t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t2=diag(t1);
t3=t1-diag(t2);%去掉了对角元素的
t4=sum(t3,2);
t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPidTidVi=diag(t4);
dPidTjdVj=-t3;
t6=sum(dPidTjdVj,1);%乘y的系数
t6=t6.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@
%% deltaP/deltaThytai_dVj 非对角元素
t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=ones(Busnum,1)*Volt.*real(GB).*(sin(AngleIJMat)+imag(GB).*cos(AngleIJMat));
dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的
t2=t2';
dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@
%% deltaP/dVi_deltaThytaj 非对角元素
t1=-ones(Busnum,1)*Volt.*real(GB).*(sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
dPidVidTj=t1-diag(diag(t1));
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat));
dPjdVidTj=t1-diag(diag(t1));
t2=t2';
dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素
%% deltaPi/dVi_deltaThyta 对角元素
dPdVidTi=dPdTidVi;%最终对角元素 @@
%% deltaP/dVi_dVj 非对角元素
t1=-(real(GB).*(cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)));
dPidVidVj=t1-diag(diag(t1));%去掉对角元素的
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=-(real(GB).*(cos(AngleIJMat)-imag(GB).*sin(AngleIJMat)));
dPjdVidVj=t1-diag(diag(t1));
t2=t2';
dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@
%% deltaP/dVi_dVi 对角元素
t1=diag(real(GB));
t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPidVidVi=-2*diag(t2);
dPidVjdVj=0;
dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@
%% 生成APi
APi=zeros(2*Busnum,2*Busnum);
APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT
APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV
APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT
APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV
APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角
APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角
APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角
APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角
%% deltaQ/deltaThyta_deltaThyta 非对角元素
t1=-Volt'*Volt;
t2=real(GB).*(sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的
t3=repmat(Init_Y',1,size(Init_Y,2));
dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t2=real(GB).*(sin(AngleIJMat)+imag(GB).*cos(AngleIJMat));
dQjdTidTj=t1.*t2;
t3=t3';
dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素
%% deltaQ/deltaThyta_deltaThyta 对角元素
t1=dQidTidTj-diag(diag(dQidTidTj));
t2=sum(t1,2);
t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQidTidTi=diag(t3);
t1=-Volt'*Volt;
t2=real(GB).*(sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t3=t1.*t2;
t4=t3-diag(diag(t3));
t5=sum(t4,1);
t6=t5.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQjdTidTi=diag(t6);
dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素
%% deltaQ/deltaThyta_deltaV 非对角元素
t1=-Volt;
t2=real(GB).*(cos(AngleIJMat)+imag(GB).*sin(AngleIJMat));
t3=ones(Busnum,1)*t1.*t2;
t4=repmat(Init_Y',1,size(Init_Y,2));
dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t2=real(GB).*(cos(AngleIJMat)-imag(GB).*sin(AngleIJMat));
t3=Volt'*ones(1,Busnum).*t2;
t4=t4';
dQjdTidVj=t2.*t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素
%% deltaQ/deltaThyta_deltaV 对角元素
t1=sum(dQidTidVj,2)-diag(dQidTidVj);
t2=t1'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQidTidVi=diag(t2);
t1=-Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat));
t2=t1-diag(diag(t1));
t3=sum(t2,1);
t4=t3.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQjdTidVi=diag(t4);
dQdTidVi=dQidTidVi+dQjdTidVi;
%% deltaQ/deltaV_deltaV 非对角元素
t1=real(GB).*(sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t2=repmat(Init_Y',1,size(Init_Y,2));
t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQidVidVj=t3;
t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t2=t2';
t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQjdVidVj=t3;
dQdVidVj=dQidVidVj+dQjdVidVj;
%% deltaQ/deltaV_deltaV 对角元素
t1=2*(real(GB).*(sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)));
t2=diag(t1);
t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQidVidVi=diag(t3);
t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t2=diag(t1);
t3=t1-diag(t2);
t4=sum(t3,1);
t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQjdVidVi=diag(t5);
dQdVidVi=dQidVidVi+dQjdVidVi;
%% deltaQ/deltaV_deltaThyta 非对角元素
t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat);
t2=-ones(Busnum,1)*Volt.*(t1);
t3=repmat(Init_Y',1,size(Init_Y,2));
t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQidVidTj=t4;
t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t2=-ones(Busnum,1)*Volt.*(t1);
t3=t3';
t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQjdVidTj=t4;
dQdVidTj=dQidVidTj+dQjdVidTj;
%% deltaQ/deltaV_deltaThyta 对角元素
dQdVidTi=dQdTidVi;
%% 生成AQi
AQi=zeros(2*Busnum,2*Busnum);
AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT
AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV
AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT
AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV
AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角
AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角
AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角
AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角
%% 生成ddf
t=[zeros(2*14-2*5,2*14);
zeros(2*5,2*14-2*5),AQi+APi;
];
ddf=t;
end

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function ddg=func_ddg(PGi,PVi,Busnum,RestraintCount)
t=sparse(size(PVi,1)+size(PGi,1)+2*Busnum,RestraintCount);
ddg=t;
end

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function ddh=func_ddh(AngleIJMat,GB,Volt,Init_Y,Busnum)
%% deltaPi/deltaThytai_deltaThytaj 非对角元素
t1=-Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
dPdTidTj=t1.*t2; %%(保留了对角元素的)
dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的
t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数
dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));
t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat);
t3=t1.*t2;
dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的
t3=repmat(Init_Y,size(Init_Y,2),1);
dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@@
%% deltaP/deltaThyta_deltaThyta 对角元素
t1=sum(-dPidTidTj_2,2);
t2=diag(t1'.*Init_Y(1:2:size(Init_Y,2)));%乘y的系数
t3=sum(-dPidTidTj_2,1);
t4=diag(t3.*Init_Y(1:2:size(Init_Y,2)));%乘y的系数
dPdTidTi=t2+t4;%%最终对角元素 @@@
%% deltaP/deltaThytai_dVi 对角元素
t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t2=diag(t1);
t3=t1-diag(t2);%去掉了对角元素的
t4=sum(t3,2);
t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPidTidVi=diag(t4);
dPidTjdVj=-t3;
t6=sum(dPidTjdVj,1);
t6=t6.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@@
%% deltaP/deltaThytai_dVj 非对角元素
t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat));
dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的
t2=t2';
dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@@
%% deltaP/dVi_deltaThytaj 非对角元素
t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
dPidVidTj=t1-diag(diag(t1));
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat));
dPjdVidTj=t1-diag(diag(t1));
t2=t2';
dPjdVidTj=dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素 @@@
%% deltaPi/dVi_deltaThyta 对角元素
dPdVidTi=dPdTidVi;%最终对角元素 @@
%% deltaP/dVi_dVj 非对角元素
t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat));
dPidVidVj=t1-diag(diag(t1));%去掉对角元素的
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat));
dPjdVidVj=t1-diag(diag(t1));
t2=t2';
dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@@@
%% deltaP/dVi_dVi 对角元素
t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t1=diag(t0);
t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPidVidVi=-2*diag(t2);
dPidVjdVj=0;
dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@@
%% 生成APi
APi=zeros(2*Busnum,2*Busnum);
APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT
APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV
APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT
APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV
APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角
APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角
APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角
APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角
%% deltaQ/deltaThyta_deltaThyta 非对角元素
%t1=-Volt'*Volt;
t1=Volt'*Volt;
t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的
t3=repmat(Init_Y',1,size(Init_Y,2));
dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat);
dQjdTidTj=-t1.*t2;
t3=t3';
dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素 @@@
%% deltaQ/deltaThyta_deltaThyta 对角元素
t1=dQidTidTj-diag(diag(dQidTidTj));%去对角元素
t2=sum(t1,2);
t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
%dQidTidTi=diag(t3);
dQidTidTi=-diag(t3);
t1=-Volt'*Volt;
t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t3=t1.*t2;
t4=t3-diag(diag(t3));
t5=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数
t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));
t7=sum(t6,1);
dQjdTidTi=diag(t7);
dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素 @@@
%% deltaQ/deltaThyta_deltaV 非对角元素
%t1=-Volt;
t1=Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t3=t1'*ones(1,Busnum).*t2;
t4=repmat(Init_Y',1,size(Init_Y,2));
dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat);
t3=-Volt'*ones(1,Busnum).*t2;
t4=t4';
dQjdTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素 @@@
%% deltaQ/deltaThyta_deltaV 对角元素
%t1=sum(dQidTidVj,2)-diag(dQidTidVj);%去掉对角元素
t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t2=ones(Busnum,1)*Volt.*t1;
t3=sum(t2,2);
t4=t3'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQidTidVi=diag(t4);
t1=-Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat));
t2=t1-diag(diag(t1));
t3=repmat(Init_Y',1,size(Init_Y,2));
t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t5=sum(t4,1);
dQjdTidVi=diag(t5);
dQdTidVi=dQidTidVi+dQjdTidVi;% @@
%% deltaQ/deltaV_deltaV 非对角元素
t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t2=repmat(Init_Y',1,size(Init_Y,2));
t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQidVidVj=t3;
t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t2=t2';
t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQjdVidVj=t3;
dQdVidVj=dQidVidVj+dQjdVidVj;% @@@
%% deltaQ/deltaV_deltaV 对角元素
t1=2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t2=diag(t1);
t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQidVidVi=diag(t3);
% t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
% t2=diag(t1);
% t3=t1-diag(t2);
% t4=sum(t3,1);
% t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
% dQjdVidVi=diag(t5);
dQjdVidVi=0;
dQdVidVi=dQidVidVi+dQjdVidVi; % @@
%% deltaQ/deltaV_deltaThyta 非对角元素
%t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat);
t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t2=-ones(Busnum,1)*Volt.*(t1);
t3=repmat(Init_Y',1,size(Init_Y,2));
t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQidVidTj=t4;
t1=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat);
t2=-ones(Busnum,1)*Volt.*(t1);
t3=t3';
t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQjdVidTj=t4;
dQdVidTj=dQidVidTj+dQjdVidTj;% @
%% deltaQ/deltaV_deltaThyta 对角元素
dQdVidTi=dQdTidVi;% @
%% 生成AQi
AQi=zeros(2*Busnum,2*Busnum);
AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT
AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV
AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT
AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV
AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角
AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角
AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角
AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角
%% 生成ddh
t=[zeros(4,14);
zeros(2*5,4),AQi+APi;
];
ddh=t;
end

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function ddh=func_ddh1(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi)
%% deltaPi/deltaThytai_deltaThytaj 非对角元素
ContrlCount=size(PVi,1)*2+Busnum*2;
t1=-Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
dPdTidTj=t1.*t2; %%(保留了对角元素的)
dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的
t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数
dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));
t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat);
t3=t1.*t2;
dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的
t3=repmat(Init_Y,size(Init_Y,2),1);
dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@@@@@
%% deltaP/deltaThyta_deltaThyta 对角元素
t1=Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t3=t1.*t2;
t4=t3-diag(diag(t3));
t5=sum(t4,2);
t6=t5'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPidTidTi=diag(t6);
t1=Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t2=t2-diag(diag(t2));
t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数
t4=t1.*t2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));
t5=sum(t4,1);
dPidTjdTj=diag(t5);
dPdTidTi=dPidTidTi+dPidTjdTj;%%最终对角元素 @@@@@@
%% deltaP/deltaThytai_dVi 对角元素
t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t2=diag(t1);
t3=t1-diag(t2);%去掉了对角元素的
t4=sum(t3,2);
t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPidTidVi=diag(t4);
t1=-Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t1=t1-diag(diag(t1));%去掉对角元素
t2=repmat(Init_Y',1,size(Init_Y,2));
t3=t1.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t6=sum(t3,1);
dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@@@@@
%% deltaP/deltaThytai_dVj 非对角元素
t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat));
dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的
t2=t2';
dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@@@@
%% deltaP/dVi_deltaThytaj 非对角元素
t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
dPidVidTj=t1-diag(diag(t1));
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat));
dPjdVidTj=t1-diag(diag(t1));
t2=t2';
dPjdVidTj=dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素 @@@@
%% deltaPi/dVi_deltaThyta 对角元素
dPdVidTi=dPdTidVi;%最终对角元素 @@
%% deltaP/dVi_dVj 非对角元素
t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat));
dPidVidVj=t1-diag(diag(t1));%去掉对角元素的
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat));
dPjdVidVj=t1-diag(diag(t1));
t2=t2';
dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@@@@
%% deltaP/dVi_dVi 对角元素
t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t1=diag(t0);
t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPidVidVi=-2*diag(t2);
dPidVjdVj=0;
dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@@@
%% 生成APi
APi=zeros(2*Busnum,2*Busnum);
APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT
APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV
APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT
APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV
APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角
APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角
APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角
APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角
%% deltaQ/deltaThyta_deltaThyta 非对角元素
t1=-Volt'*Volt;
%t1=Volt'*Volt;
t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的
t3=repmat(Init_Y',1,size(Init_Y,2));
dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat);
dQjdTidTj=-t1.*t2;
t3=t3';
dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素 @@@@
%% deltaQ/deltaThyta_deltaThyta 对角元素
t1=Volt'*Volt;
t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t3=t1.*t2;
t4=t3-diag(diag(t3));
t5=repmat(Init_Y',1,size(Init_Y,2));
t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t7=sum(t6,2);
dQidTidTi=diag(t7);
t1=Volt'*Volt;
t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t3=t1.*t2;
t4=t3-diag(diag(t3));
%t5=t5';
t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t7=sum(t6,1);
dQjdTidTi=diag(t7);
dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素 @@@@
%% deltaQ/deltaThyta_deltaV 非对角元素
t1=-Volt;
%t1=Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t3=t1'*ones(1,Busnum).*t2;
t4=repmat(Init_Y',1,size(Init_Y,2));
dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat);
t3=Volt'*ones(1,Busnum).*t2;
t4=t4';
dQjdTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素 @@@@@
%% deltaQ/deltaThyta_deltaV 对角元素
%t1=sum(dQidTidVj,2)-diag(dQidTidVj);%去掉对角元素
t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t2=-ones(Busnum,1)*Volt.*t1;
t2=t2-diag(diag(t2));
t3=sum(t2,2);
t4=t3'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQidTidVi=diag(t4);
t1=Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat));
t2=t1-diag(diag(t1));
t3=repmat(Init_Y',1,size(Init_Y,2));
t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t5=sum(t4,1);
dQjdTidVi=diag(t5);
dQdTidVi=dQidTidVi+dQjdTidVi;% @@@@
%% deltaQ/deltaV_deltaV 非对角元素
t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t2=repmat(Init_Y',1,size(Init_Y,2));
t3=-t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQidVidVj=t3;
t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat);
t2=t2';
t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQjdVidVj=t3;
dQdVidVj=dQidVidVj+dQjdVidVj;% @@@@@
%% deltaQ/deltaV_deltaV 对角元素
t1=-2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t2=diag(t1);
t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQidVidVi=diag(t3);
% t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
% t2=diag(t1);
% t3=t1-diag(t2);
% t4=sum(t3,1);
% t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
% dQjdVidVi=diag(t5);
dQjdVidVi=0;
dQdVidVi=dQidVidVi+dQjdVidVi; % @@@@
%% deltaQ/deltaV_deltaThyta 非对角元素
%t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat);
t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t2=ones(Busnum,1)*Volt.*(t1);
t3=repmat(Init_Y',1,size(Init_Y,2));
t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQidVidTj=t4;
t1=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat);
t2=-ones(Busnum,1)*Volt.*(t1);
t3=t3';
t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQjdVidTj=t4;
dQdVidTj=dQidVidTj+dQjdVidTj;% @@@
%% deltaQ/deltaV_deltaThyta 对角元素
dQdVidTi=dQdTidVi;% @
%% 生成AQi
AQi=zeros(2*Busnum,2*Busnum);
AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT
AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV
AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT
AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV
AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角
AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角
AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角
AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角
%% 生成ddh
t=[zeros(2*size(PVi,1),ContrlCount);
zeros(2*Busnum,2*size(PVi,1)),AQi+APi;
];
ddh=t;
end

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function ddh=func_ddh2(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi)
%% deltaPi/deltaThytai_deltaThytaj 非对角元素
ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2;
t1=-Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
dPdTidTj=t1.*t2; %%(保留了对角元素的)
dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的
t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数
dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));
t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat);
t3=t1.*t2;
dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的
t3=repmat(Init_Y,size(Init_Y,2),1);
dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@@@@@@
%% deltaP/deltaThyta_deltaThyta 对角元素
t1=Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t3=t1.*t2;
t4=t3-diag(diag(t3));
t5=sum(t4,2);
t6=t5'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPidTidTi=diag(t6);
t1=Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t2=t1.*t2;
t2=t2-diag(diag(t2));
t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数
t4=t2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));
t5=sum(t4,1);
dPidTjdTj=diag(t5);
dPdTidTi=dPidTidTi+dPidTjdTj;%%最终对角元素 @@@@@@@
%% deltaP/deltaThytai_dVi 对角元素
t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t2=diag(t1);
t3=t1-diag(t2);%去掉了对角元素的
t4=sum(t3,2);
t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPidTidVi=diag(t4);
t1=-Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t1=t1-diag(diag(t1));%去掉对角元素
t2=repmat(Init_Y',1,size(Init_Y,2));
t3=t1.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t6=sum(t3,1);
dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@@@@@
%% deltaP/deltaThytai_dVj 非对角元素
t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat));
dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的
t2=t2';
dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@@@@@
%% deltaP/dVi_deltaThytaj 非对角元素
t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
dPidVidTj=t1-diag(diag(t1));
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat));
dPjdVidTj=t1-diag(diag(t1));
t2=t2';
dPjdVidTj=dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素 @@@@@
%% deltaPi/dVi_deltaThyta 对角元素
dPdVidTi=dPdTidVi;%最终对角元素 @@
%% deltaP/dVi_dVj 非对角元素
t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat));
dPidVidVj=t1-diag(diag(t1));%去掉对角元素的
t2=repmat(Init_Y',1,size(Init_Y,2));
dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat));
dPjdVidVj=t1-diag(diag(t1));
t2=t2';
dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数
dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@@@@@
%% deltaP/dVi_dVi 对角元素
t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t1=diag(t0);
t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数
dPidVidVi=-2*diag(t2);
dPidVjdVj=0;
dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@@@@
%% 生成APi
APi=zeros(2*Busnum,2*Busnum);
APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT
APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV
APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT
APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV
APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角
APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角
APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角
APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角
%% deltaQ/deltaThyta_deltaThyta 非对角元素
t1=-Volt'*Volt;
%t1=Volt'*Volt;
t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的
t3=repmat(Init_Y',1,size(Init_Y,2));
dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat);
dQjdTidTj=-t1.*t2;
t3=t3';
dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素 @@@@@
%% deltaQ/deltaThyta_deltaThyta 对角元素
t1=Volt'*Volt;
t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t3=t1.*t2;
t4=t3-diag(diag(t3));
t5=repmat(Init_Y',1,size(Init_Y,2));
t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t7=sum(t6,2);
dQidTidTi=diag(t7);
t1=Volt'*Volt;
t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t3=t1.*t2;
t4=t3-diag(diag(t3));
%t5=t5';
t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t7=sum(t6,1);
dQjdTidTi=diag(t7);
dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素 @@@@@
%% deltaQ/deltaThyta_deltaV 非对角元素
t1=-Volt;
%t1=Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t3=t1'*ones(1,Busnum).*t2;
t4=repmat(Init_Y',1,size(Init_Y,2));
dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat);
t3=Volt'*ones(1,Busnum).*t2;
t4=t4';
dQjdTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素 @@@@@@
%% deltaQ/deltaThyta_deltaV 对角元素
%t1=sum(dQidTidVj,2)-diag(dQidTidVj);%去掉对角元素
t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t2=-ones(Busnum,1)*Volt.*t1;
t2=t2-diag(diag(t2));
t3=sum(t2,2);
t4=t3'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQidTidVi=diag(t4);
t1=Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat));
t2=t1-diag(diag(t1));
t3=repmat(Init_Y',1,size(Init_Y,2));
t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t5=sum(t4,1);
dQjdTidVi=diag(t5);
dQdTidVi=dQidTidVi+dQjdTidVi;% @@@@
%% deltaQ/deltaV_deltaV 非对角元素
t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t2=repmat(Init_Y',1,size(Init_Y,2));
t3=-t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQidVidVj=t3;
t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat);
t2=t2';
t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQjdVidVj=t3;
dQdVidVj=dQidVidVj+dQjdVidVj;% @@@@@@
%% deltaQ/deltaV_deltaV 对角元素
t1=-2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));
t2=diag(t1);
t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
dQidVidVi=diag(t3);
% t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
% t2=diag(t1);
% t3=t1-diag(t2);
% t4=sum(t3,1);
% t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数
% dQjdVidVi=diag(t5);
dQjdVidVi=0;
dQdVidVi=dQidVidVi+dQjdVidVi; % @@@@@
%% deltaQ/deltaV_deltaThyta 非对角元素
%t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat);
t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t2=ones(Busnum,1)*Volt.*(t1);
t3=repmat(Init_Y',1,size(Init_Y,2));
%t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQidVidTj=t4;
t1=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat);
t2=-ones(Busnum,1)*Volt.*(t1);
t3=t3';
t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数
dQjdVidTj=t4;
dQdVidTj=dQidVidTj+dQjdVidTj;% @@@@
%% deltaQ/deltaV_deltaThyta 对角元素
dQdVidTi=dQdTidVi;% @
%% 生成AQi
AQi=zeros(2*Busnum,2*Busnum);
AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT
AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV
AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT
AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV
AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角
AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角
AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角
AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角
%% 生成ddh
t=[zeros(size(PGi,1)+size(PVi,1),ContrlCount);
zeros(2*Busnum,size(PVi,1)+size(PGi,1)),AQi+APi;
];
ddh=t;
end

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function ddh=func_ddh3(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi,Y,UAngel,r,c,Angle)
%决定用循环重写
ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2;
%% 以下是学姐给的公式
AngleIJ=AngleIJMat-angle(GB);
mat_AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle',Busnum,Busnum);
mat_INV_AngleIJ=mat_AngleIJ';
yP=Init_Y(1:size(Init_Y,2)/2);%暂时改这里 20111227
yQ=Init_Y(size(Init_Y,2)/2+1:size(Init_Y,2));%暂时改这里 20111227
t1=-diag(Y.*cos(mat_INV_AngleIJ)*diag(Volt)*yP');
t2=diag(diag(Volt)*yP')*Y.*cos(mat_AngleIJ);
t3=(t1+t2)*diag(Volt);
t4=-(diag(Y.*cos(mat_AngleIJ)*Volt') -diag(Volt)*Y.*cos(mat_INV_AngleIJ) )*diag(diag(Volt)*yP');
ddPdTdT=t3+t4;%ok1
t1=(-diag(Y.*sin(mat_AngleIJ)*Volt')+diag(Volt)*Y.*sin(mat_INV_AngleIJ) )*diag(yP);
t2= -diag( diag(Volt)*yP' )*Y.*sin(mat_AngleIJ)+diag(Y.*sin(mat_INV_AngleIJ)*diag(Volt)*yP');
ddPdVdT=t1+t2;%ok1
t1=diag( Y.*sin(mat_INV_AngleIJ)*diag(Volt)*yP');
t2=diag(yP)*Y.*sin(mat_AngleIJ)*diag(Volt);
t3=-diag(yP)*diag(Y.*sin(mat_AngleIJ)*Volt');
t4=-Y.*sin(mat_INV_AngleIJ)*diag( diag(Volt)*yP' );
ddPdTdV=t1+t2+t3+t4;%存疑与我的不一样
t1=Y.*cos(mat_INV_AngleIJ)*diag(yP);
t2=diag(yP)*Y.*cos(mat_AngleIJ);
ddPdVdV=t1+t2;
t1=-diag(Y.*sin(mat_AngleIJ)*Volt');
t2=diag(Volt)*Y.*sin(mat_INV_AngleIJ);
t3=(t1+t2)*diag( diag(Volt)*yQ' );
t4=-diag( diag(Volt)*yQ' )*Y.*sin(mat_AngleIJ);
t5=diag(Y.*sin(mat_INV_AngleIJ)*diag(Volt)*yQ');
t6=-(t4+t5)*diag(Volt);
ddQdTdT=t3+t6;%ok1
t1=(diag(Y.*cos(mat_AngleIJ)*Volt')-diag(Volt)*Y.*cos(mat_INV_AngleIJ) )*diag(yQ);
t2=+diag( diag(Volt)*yQ' )*Y.*cos(mat_AngleIJ)-diag(Y.*cos(mat_INV_AngleIJ)*diag(Volt)*yQ');
ddQdVdT=t1+t2;
t1=Y.*cos(mat_INV_AngleIJ)*diag(diag(Volt)*yQ');
t2=diag(yQ)*diag(Y.*cos(mat_AngleIJ)*Volt');
t3=-diag(Y.*cos(mat_INV_AngleIJ)*diag(Volt)*yQ');
t4=-diag(yQ)*Y.*cos(mat_AngleIJ)*diag(Volt);
ddQdTdV=t1+t2+t3+t4;
t1=Y.*sin(mat_INV_AngleIJ)*diag(yQ);
t2=diag(yQ)*Y.*sin(mat_AngleIJ);
ddQdVdV=t1+t2;
t=[ddPdVdV+ddQdVdV,ddPdTdV+ddQdTdV ;
ddPdVdT+ddQdVdT,ddPdTdT+ddQdTdT;
];
sizePGi=size(PGi,1);
sizePVi=size(PVi,1);
% t=[zeros(size(PGi,1)+size(PVi,1),ContrlCount);
% zeros(2*Busnum,size(PVi,1)+size(PGi,1)),-t;
% ];
t=[
sparse(sizePGi+sizePVi,ContrlCount);
sparse(2*Busnum,sizePVi+sizePGi),-t;
];
ddh=t;
end

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function deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi)
%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(:,2);
c1=GenC(:,3);
t1=2*PG(PGi).*c2+c1;
deltF=[
sparse(t1);
sparse(ContrlCount-size(PGi,1),1);
];
end

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function deltG=func_deltG(Busnum,PVi,PGi)
%dg1_dPg=eye(size(PGi,1));
sizePGi=size(PGi,1);
sizePVi=size(PVi,1);
%%
dg1_dPg=sparse(1:sizePGi,1:sizePGi,ones(sizePGi,1),sizePGi,sizePGi);
%dg2_dPg=zeros(size(PGi,1),size(PVi,1));
dg2_dPg=sparse(sizePGi,sizePVi);
%dg3_dPg=zeros(size(PGi,1),Busnum);
dg3_dPg=sparse(sizePGi,Busnum);
%%
% dg1_dQr=zeros(size(PVi,1),size(PGi,1));
% dg2_dQr=eye(size(PVi,1));
% dg3_dQr=zeros(size(PVi,1),Busnum);
dg1_dQr=sparse(sizePVi,sizePGi);
dg2_dQr=sparse(1:sizePVi,1:sizePVi,ones(sizePVi,1),sizePVi,sizePVi);
dg3_dQr=sparse(sizePVi,Busnum);
%%
% dg1_dx=zeros(2*Busnum,size(PGi,1));
% dg2_dx=zeros(2*Busnum,size(PVi,1));
% dg3_dx=zeros(2*Busnum,Busnum);
% for I=1:Busnum
% %dg3_dx(2*I,I)=1;ÔÝĘą¸ÄŇťĎÂ
% dg3_dx(I,I)=1;
% end
dg1_dx=sparse(2*Busnum,sizePGi);
dg2_dx=sparse(2*Busnum,sizePVi);
dg3_dx=[sparse(1:Busnum,1:Busnum,ones(Busnum,1),Busnum,Busnum);
sparse(Busnum,Busnum);
];
%%
deltG=[dg1_dPg,dg2_dPg,dg3_dPg;
dg1_dQr,dg2_dQr,dg3_dQr;
dg1_dx,dg2_dx,dg3_dx;
];

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function deltH=func_deltH(Busnum,Volt,PVi,AngleIJMat,Y,GB,PGi,UAngel,r,c,Angle)
dH_dPg=sparse(1:size(PGi,1),PGi,ones(size(PGi,1),1),size(PGi,1),2*Busnum);
dH_dQr=sparse(1:size(PVi,1),PVi+Busnum,ones(size(PVi,1),1),size(PVi,1),2*Busnum);
dH_dx = jacobian_M3(Busnum,Volt,Y,Angle,AngleIJMat,UAngel,r,c); %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'];
end

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function deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi)
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);
]; %#ok<NASGU>
sizeGenC=size(GenC(:,2),1);
diagC=sparse(1:sizeGenC,1:sizeGenC,GenC(:,2),sizeGenC,sizeGenC);
deltdeltF=[
diagC*2,sparse(sizeGenC,ContrlCount-sizeGenC);
sparse(ContrlCount-sizeGenC,ContrlCount);
];
end

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function [P0,Q0,U,Uangle]=imbalance(PG,PD,PQstandard,Pointpoweri,QG,QD,Busnum)
%**************************************************************************
% 程序功能 : 子函数——计算功率不平衡分量等
% 编 者： 梁 捷
% 编制时间 ：2010.12
%**************************************************************************
%% 计算功率的不平衡分量
P0=(PG-PD)/PQstandard; % 求取节点注入有功功率的标幺值
Q0=(QG-QD)/PQstandard; % 求取节点注入无功功率的标幺值
%% 平启动赋电压初值
U=ones(1,Busnum); % 按照平启动给电压幅值赋值
Uangle=zeros(1,Busnum); % 按照平启动给电压相角赋值
end

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function [Jacob,PQ,U,Uangle]=jacobian(Busnum,Balance,PVi,PVu,U,Uangle,Y,Angle,P0,Q0,r,c)
%**************************************************************************
% 程序功能 : 子函数——形成雅可比矩阵Jacobian
% 编 者：
% 编制时间：2010.12
%**************************************************************************
%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q
AngleIJ = Uangle(r) - Uangle(c)- Angle';
U(PVi) = PVu;
temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量
temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2);
temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2);
temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum);
temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum);
H = temp1.*sparse(r,c,sin(AngleIJ))-temp4;
L = temp1.*sparse(r,c,sin(AngleIJ))+temp4;
N = temp1.*sparse(r,c,cos(AngleIJ))+temp5;
J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5;
Q = Q0+temp2'; %求有功分量P
P = P0+temp3'; %求无功分量Q
%% 处理平衡节点和pv节点
H(:,Balance) = 0;
H(Balance,:) = 0;
H(Balance,Balance) = 100; % 平衡节点对应的对角元素置一个有限数
L(:,PVi) = 0;
L(PVi,:) = 0;
L = L+sparse(PVi,PVi,ones(1,length(PVi)),Busnum,Busnum); % PV节点对应的对角元素置为1
J(:,Balance) = 0;
J(PVi,:) = 0;
N(:,PVi) = 0;
N(Balance,:) = 0;
Q(PVi) = 0; % 将pv节点的无功不平衡分量置零
P(Balance) = 0; % 平衡节点的有功功率不平衡分量置零
%% 合成PQ和雅可比矩阵
PQ = cat(2,P,Q); % 形成功率不平衡分量列向量
Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵
end

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function Jacob=jacobian_M(Busnum,Volt,Y,Angle,AngleIJMat)
%**************************************************************************
% 程序功能 : 子函数——形成雅可比矩阵Jacobian
% 编 者：
% 编制时间：2010.12
%**************************************************************************
%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q
temp1=-Volt'*Volt.*Y;
AngleIJ=AngleIJMat-Angle;
temp11=Volt'*ones(1,Busnum).*Y;
temp2=sum(temp1.*sin(AngleIJ),2);
temp22 = sum(temp11.*sin(AngleIJ),2);
temp3 = sum(temp1.*cos(AngleIJ),2);
temp33 = sum(temp11.*cos(AngleIJ),2);
temp4=diag(temp2);
temp44=diag(temp22);
temp5=diag(temp3);
temp55=diag(temp33);
%计算Lii的累加项
t1=ones(Busnum,1)*Volt.*Y;
t2=sum(t1.*sin(AngleIJ),2);
t3=sum(t1.*cos(AngleIJ),2);
t4=diag(t2);
t5=diag(t3);
H = temp1.*sin(AngleIJ)-temp4;%
L = -temp11.*sin(AngleIJ);%
%L(1:Busnum,1:Busnum)=-temp44+;
L=L-t4;
N=-temp11.*cos(AngleIJ);%
%N(1:Busnum,1:Busnum)=-temp55-diag(diag(temp11.*cos(Angle) ) );
N=N-t5;
J = -temp1.*cos(AngleIJ)+temp5;%
%%
%Q = Q0+temp2'; %求有功分量P
%P = P0+temp3'; %求无功分量Q
%% 处理平衡节点和pv节点
% H(:,Balance) = 0;
% H(Balance,:) = 0;
% H(Balance,Balance) = 100; % 平衡节点对应的对角元素置一个有限数
% L(:,PVi) = 0;
% L(PVi,:) = 0;
% L = L+sparse(PVi,PVi,ones(1,length(PVi)),Busnum,Busnum); % PV节点对应的对角元素置为1
% J(:,Balance) = 0;
% J(PVi,:) = 0;
% N(:,PVi) = 0;
% N(Balance,:) = 0;
% Q(PVi) = 0; % 将pv节点的无功不平衡分量置零
% P(Balance) = 0; % 平衡节点的有功功率不平衡分量置零
%% 合成PQ和雅可比矩阵
t1=zeros(2*Busnum);
t1(1:2:2*Busnum,1:2:2*Busnum)=H;
t1(1:2:2*Busnum,2:2:2*Busnum)=N;
t1(2:2:2*Busnum,1:2:2*Busnum)=J;
t1(2:2:2*Busnum,2:2:2*Busnum)=L;
% t1(1:)
% PQ = cat(2,P,Q); % 形成功率不平衡分量列向量
%Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵
Jacob=t1;
end

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function [Jacob]=jacobian_M1(Busnum,Volt,Y,Angle,AngleIJMat)
%**************************************************************************
% 程序功能 : 子函数——形成雅可比矩阵Jacobian
% 编 者：
% 编制时间：2010.12
%**************************************************************************
%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q
%Volt(PVi) = PVu;
temp1=Volt'*Volt.*Y;
AngleIJ=AngleIJMat-Angle;
temp2=sum(temp1.*sin(AngleIJ),2);
temp3 = sum(temp1.*cos(AngleIJ),2);
temp4=diag(temp2);
temp5=diag(temp3);
%t1=Volt'*ones(1,Busnum).*Y;
t1=ones(Busnum,1)*Volt.*Y;
%t1=Volt'*Volt.*Y;
t2=sum(t1.*sin(AngleIJ),2);
t3=sum(t1.*cos(AngleIJ),2);
t4=diag(t2);
t5=diag(t3);
H = -temp1.*sin(AngleIJ)+temp4;%
L = -t1.*sin(AngleIJ);%
%L(1:Busnum,1:Busnum)=-temp44+;
L=L-t4;
N=-t1.*cos(AngleIJ);%
%N(1:Busnum,1:Busnum)=-temp55-diag(diag(temp11.*cos(Angle) ) );
N=N-t5;
J = temp1.*cos(AngleIJ)-temp5;%
%%%%
%t=diag(Volt);
%N=t*N;%*t;
%L=t*L;%*t;
%%%%
%%
%求无功分量Q
% 平衡节点的有功功率不平衡分量置零
%% 合成PQ和雅可比矩阵
% t1(1:)
% 形成功率不平衡分量列向量
%Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵
t1=zeros(2*Busnum);
t1(1:2:2*Busnum,1:2:2*Busnum)=H;
t1(1:2:2*Busnum,2:2:2*Busnum)=N;
t1(2:2:2*Busnum,1:2:2*Busnum)=J;
t1(2:2:2*Busnum,2:2:2*Busnum)=L;
Jacob=t1;
end
% function Jacob=jacobian_M1(Busnum,PVi,PVu,U,Uangle,Y,Angle,r,c)
% AngleIJ = Uangle(r) - Uangle(c)- Angle';
% U(PVi) = PVu;
% temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量
% temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2);
% temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2);
% temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum);
% temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum);
% H = temp1.*sparse(r,c,sin(AngleIJ))-temp4;
% L = temp1.*sparse(r,c,sin(AngleIJ))+temp4;
% N = temp1.*sparse(r,c,cos(AngleIJ))+temp5;
% J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5;
%
%
% t1=zeros(2*Busnum);
% t1(1:2:2*Busnum,1:2:2*Busnum)=H;
% t1(1:2:2*Busnum,2:2:2*Busnum)=N;
% t1(2:2:2*Busnum,1:2:2*Busnum)=J;
% t1(2:2:2*Busnum,2:2:2*Busnum)=L;
% % t1(1:)
% % PQ = cat(2,P,Q); % 形成功率不平衡分量列向量
% %Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵
% Jacob=t1;
%
% end

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function [Jacob]=jacobian_M2(Busnum,Volt,Y,Angle,AngleIJMat)
%**************************************************************************
% 程序功能 : 子函数——形成雅可比矩阵Jacobian
% 编 者：
% 编制时间：2010.12
%**************************************************************************
%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q
temp1=Volt'*Volt.*Y;
AngleIJ=AngleIJMat-Angle;
temp2=sum(temp1.*sin(AngleIJ),2);
temp3 = sum(temp1.*cos(AngleIJ),2);
temp4=diag(temp2);
temp5=diag(temp3);
%t1=Volt'*ones(1,Busnum).*Y;
t1=ones(Busnum,1)*Volt.*Y;
t11=Volt'*ones(1,Busnum).*Y;
%t1=Volt'*Volt.*Y;
t2=sum(t1.*sin(AngleIJ),2);
t3=sum(t1.*cos(AngleIJ),2);
t4=diag(t2);
t5=diag(t3);
H = -temp1.*sin(AngleIJ)+temp4;%
L = -t11.*sin(AngleIJ);%
%L(1:Busnum,1:Busnum)=-temp44+;
L=L-t4;
N=-t11.*cos(AngleIJ);%
%N(1:Busnum,1:Busnum)=-temp55-diag(diag(temp11.*cos(Angle) ) );
N=N-t5;
J = temp1.*cos(AngleIJ)-temp5;%
%%%%
%t=diag(Volt);
%N=t*N;%*t;
%L=t*L;%*t;
%%%%
%%
%求无功分量Q
% 平衡节点的有功功率不平衡分量置零
%% 合成PQ和雅可比矩阵
% t1(1:)
% 形成功率不平衡分量列向量
%Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵
t1=zeros(2*Busnum);
t1(1:2:2*Busnum,1:2:2*Busnum)=H;
t1(1:2:2*Busnum,2:2:2*Busnum)=N;
t1(2:2:2*Busnum,1:2:2*Busnum)=J;
t1(2:2:2*Busnum,2:2:2*Busnum)=L;
Jacob=t1;
end
% function Jacob=jacobian_M1(Busnum,PVi,PVu,U,Uangle,Y,Angle,r,c)
% AngleIJ = Uangle(r) - Uangle(c)- Angle';
% U(PVi) = PVu;
% temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量
% temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2);
% temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2);
% temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum);
% temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum);
% H = temp1.*sparse(r,c,sin(AngleIJ))-temp4;
% L = temp1.*sparse(r,c,sin(AngleIJ))+temp4;
% N = temp1.*sparse(r,c,cos(AngleIJ))+temp5;
% J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5;
%
%
% t1=zeros(2*Busnum);
% t1(1:2:2*Busnum,1:2:2*Busnum)=H;
% t1(1:2:2*Busnum,2:2:2*Busnum)=N;
% t1(2:2:2*Busnum,1:2:2*Busnum)=J;
% t1(2:2:2*Busnum,2:2:2*Busnum)=L;
% % t1(1:)
% % PQ = cat(2,P,Q); % 形成功率不平衡分量列向量
% %Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵
% Jacob=t1;
%
% end

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function [Jacob]=jacobian_M3(Busnum,Volt,Y,Angle,AngleIJMat,UAngel,r,c)
%**************************************************************************
% 程序功能 : 子函数——形成雅可比矩阵Jacobian
% 编 者：
% 编制时间：2010.12
%**************************************************************************
%%参照图书馆6楼的书编写
%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q
AngleIJ=UAngel(r)-UAngel(c)-Angle';
mat_AngleIJ=sparse(r,c,AngleIJ,Busnum,Busnum);
mat_IvAngleIJ=mat_AngleIJ';
H=diag(Volt)*Y.*sin(mat_IvAngleIJ)*diag(Volt)-diag(Y.*sin(mat_AngleIJ)*Volt')*diag(Volt);
N=-diag(Volt)*Y.*cos(mat_IvAngleIJ)*diag(Volt)+diag(Y.*cos(mat_AngleIJ)*Volt')*diag(Volt);
J=diag(Y.*cos(mat_AngleIJ)*Volt')+Y.*cos(mat_IvAngleIJ)*diag(Volt);
L=diag(Y.*sin(mat_AngleIJ)*Volt')+Y.*sin(mat_IvAngleIJ)*diag(Volt);
t1=[J,L;
H,N;
]';
Jacob=-t1;
end
% function Jacob=jacobian_M1(Busnum,PVi,PVu,U,Uangle,Y,Angle,r,c)
% AngleIJ = Uangle(r) - Uangle(c)- Angle';
% U(PVi) = PVu;
% temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量
% temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2);
% temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2);
% temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum);
% temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum);
% H = temp1.*sparse(r,c,sin(AngleIJ))-temp4;
% L = temp1.*sparse(r,c,sin(AngleIJ))+temp4;
% N = temp1.*sparse(r,c,cos(AngleIJ))+temp5;
% J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5;
%
%
% t1=zeros(2*Busnum);
% t1(1:2:2*Busnum,1:2:2*Busnum)=H;
% t1(1:2:2*Busnum,2:2:2*Busnum)=N;
% t1(2:2:2*Busnum,1:2:2*Busnum)=J;
% t1(2:2:2*Busnum,2:2:2*Busnum)=L;
% % t1(1:)
% % PQ = cat(2,P,Q); % 形成功率不平衡分量列向量
% %Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵
% Jacob=t1;
%
% end

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jacobian_M4.m Normal file
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function [Jacob]=jacobian_M4(Busnum,Volt,Y,Angle,AngleIJMat)
%**************************************************************************
% 程序功能 : 子函数——形成雅可比矩阵Jacobian
% 编 者：
% 编制时间：2010.12
%**************************************************************************
%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q
temp1=Volt'*Volt.*Y;
AngleIJ=AngleIJMat-Angle;
tt1=temp1.*sin(AngleIJ);
tt2=temp1.*cos(AngleIJ);
tt3=diag(tt1);
tt4=diag(tt2);
tt5=tt1-diag(tt3);
tt6=tt2-diag(tt4);
temp2=sum(tt5,2);
temp3 = sum(tt6,2);
HH=temp2;
JJ=-temp3;
t1=ones(Busnum,1)*Volt.*Y;
t11=Volt'*ones(1,Busnum).*Y;
t2=sum(t1.*sin(AngleIJ),2);
t3=sum(t1.*cos(AngleIJ),2);
t4=diag(t1.*sin(AngleIJ));
t5=diag(t1.*cos(AngleIJ));
NN=-diag(t3)-diag(t5);
LL=-diag(t2)+diag(t4);
H = -temp1.*sin(AngleIJ);
L = -t11.*sin(AngleIJ);%
N=-t11.*cos(AngleIJ);%
J = temp1.*cos(AngleIJ);%
H=H-diag(diag(H));
N=N-diag(diag(N));
J=J-diag(diag(J));
L=L-diag(diag(L));
H=H+diag(HH);
N=N+NN;
J=J+diag(JJ);
L=L+LL;
t1=zeros(2*Busnum);
t1(1:2:2*Busnum,1:2:2*Busnum)=H;
t1(1:2:2*Busnum,2:2:2*Busnum)=N;
t1(2:2:2*Busnum,1:2:2*Busnum)=J;
t1(2:2:2*Busnum,2:2:2*Busnum)=L;
Jacob=t1;
end
% function Jacob=jacobian_M1(Busnum,PVi,PVu,U,Uangle,Y,Angle,r,c)
% AngleIJ = Uangle(r) - Uangle(c)- Angle';
% U(PVi) = PVu;
% temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量
% temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2);
% temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2);
% temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum);
% temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum);
% H = temp1.*sparse(r,c,sin(AngleIJ))-temp4;
% L = temp1.*sparse(r,c,sin(AngleIJ))+temp4;
% N = temp1.*sparse(r,c,cos(AngleIJ))+temp5;
% J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5;
%
%
% t1=zeros(2*Busnum);
% t1(1:2:2*Busnum,1:2:2*Busnum)=H;
% t1(1:2:2*Busnum,2:2:2*Busnum)=N;
% t1(2:2:2*Busnum,1:2:2*Busnum)=J;
% t1(2:2:2*Busnum,2:2:2*Busnum)=L;
% % t1(1:)
% % PQ = cat(2,P,Q); % 形成功率不平衡分量列向量
% %Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵
% Jacob=t1;
%
% end

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modifyadmmatrix.m Normal file
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function [new_G,new_B,GB,Y,r,c,Angle] = modifyadmmatrix(ii,jj,G,B)
%**************************************************************************
% 程序功能 : 子函数——形成节点导纳矩阵Y
% 编 者：
% 编制时间：2010.12
%**************************************************************************
%% 支路导纳计算
new_G=G;
new_G(ii,jj)=new_G(ii,jj)-G(ii,jj);
new_G(jj,ii)=new_G(jj,ii)-G(jj,ii);
new_G(ii,ii)=new_G(ii,ii)+G(ii,jj);
new_G(jj,jj)=new_G(jj,jj)+G(ii,jj);
new_B=B;
new_B(ii,jj)=new_B(ii,jj)-B(ii,jj);
new_B(jj,ii)=new_B(jj,ii)-B(jj,ii);
new_B(ii,ii)=new_B(ii,ii)+B(ii,jj);
new_B(jj,jj)=new_B(jj,jj)+B(ii,jj);
%% 化作极坐标形式
GB = new_G+new_B.*1i; %将电导，电纳合并，写成复数形式
Y = abs(GB); %求节点导纳幅值
[r,c] = find(Y);
Angle = angle(GB(GB~=0)); %求节点导纳角度

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function [Busnum,Balance,PQstandard,Precision,Linei,Linej,Liner,Linex,Lineb,kmax,Transfori ,...
Transforj,Transforr,Transforx,Transfork0,Branchi,Branchb,Pointpoweri,PG,QG,PD,QD,PVi,PVu,Gen,GenU,GenL,GenC,CenterA,PGi,PVQU,PVQL] = openfile(FileName)
%**************************************************************************
% 程序简介 : 子函数——读取潮流计算所需数据
% 编 者：
% 编制时间 ：2010.12
%**************************************************************************
data = dlmread(FileName); % 一次读入全部数据
Busnum= data(1,1); % 节点数
PQstandard = data(1,3); % 基准容量
kmax = data(1,4); %最大迭代次数
Precision = data(2,1); % 精度
Balance = data(3,2); % 生成1到节点号的列向量
CenterA=data(1,5); %中心参数
LineNum=data(1,2); %支路数
Base=data(1,3);
%% 各参数矩阵分块
zeroRow = find(data(:,1)==0); %查找第一列元素为零的行号
line = data(zeroRow(1)+1:zeroRow(2)-1,:); % 形成线路参数矩阵
ground = data(zeroRow(2)+1:zeroRow(3)-1,:); % 形成对地支路参数矩阵
tran = data(zeroRow(3)+1:zeroRow(4)-1,:); % 形成变压器参数矩阵
buspq = data(zeroRow(4)+1:zeroRow(5)-1,:); % 形成节点功率参数矩阵
PV = data(zeroRow(5)+1:zeroRow(6)-1,:); % 形成pv节点功率参数矩阵
Gen=data(zeroRow(6)+1:zeroRow(7)-1,:);
%% 线路参数矩阵分块
Linei = line(:,2); % 节点i
Linej= line(:,3); % 节点j
Liner = line(:,4); % 线路电阻
Linex = line(:,5); % 线路电抗
Lineb = line(:,6); % b/2
%% 对地支路参数矩阵
Branchi = ground(:,1); % 对地支路节点号
Branchb = ground(:,2); % 对地支路的导纳
%% 变压器参数矩阵
Transfori = tran(:,2); % 节点i
Transforj= tran(:,3); % 节点j
Transforr = tran(:,4); % 变压器电阻
Transforx= tran(:,5); % 变压器电抗
Transfork0 = tran(:,6); % 变压器变比
%% 节点功率参数矩阵
Pointpoweri = buspq(:,1);
PG=buspq(:,2); % 发电机有功
QG=buspq(:,3); % 发电机无功
PD=buspq(:,4); % 负荷有功
QD=buspq(:,5); % 负荷无功
%%除以基值
PG=PG/Base;
QG=QG/Base;
PD=PD/Base;
QD=QD/Base;
%% pv节点功率参数矩阵
PVi = PV(:,1); % PV节点的节点号
PVu = PV(:,2); % PV节点电压
PVQL=PV(:,3);%PV节点无功下限
PVQL=PVQL/Base;
PVQU=PV(:,4); %PV节点无功上限
PVQU=PVQU/Base;
%% 发电机参数
%GenU=Gen(:,[1 5 6]);
%GenL=Gen(:,[1 7 8]);
GenC=Gen(:,[1 2:4]);
t=GenC(:,2);
GenC(:,2)=GenC(:,4);
GenC(:,4)=t;
%%%%%%%%%%%%%%%%%%%%
%GenC(:,2:4)=100*GenC(:,2:4);
t=Gen(:,[1 5]);
%GenL=[t,PVQL(PVi)];
GenL=t;%有功下界
GenL(:,2)=GenL(:,2)/Base;
t=Gen(:,[1 6]);
%GenU=[t,PVQU(PVi)];
GenU=t;%有功上届
GenU(:,2)=GenU(:,2)/Base;
PGi=Gen(:,1);%发电机节点号
end

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pf.m Normal file
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function [kmax,Precision,Uangle,U,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]=pf(FileName)
%**************************************************************************
% 程序名称：电力系统潮流计算程序
% 程序算法：极坐标下的牛顿-拉夫逊法
% 程序功能：主函数
% 程序编者：
% 编制时间：2010.12
%**************************************************************************
clc;
tic;
%% 读取数据文件
[Busnum,Balance,PQstandard,Precision,Linei,Linej,Liner,Linex,Lineb,kmax,Transfori ,...
Transforj,Transforr,Transforx,Transfork0,Branchi,Branchb,Pointpoweri,PG,QG,PD,QD,PVi,PVu,Gen,GenU,GenL,GenC,CenterA,PGi,PVQU,PVQL]= openfile(FileName);
%% 形成节点导纳矩阵
[G,B,GB,Y,r,c,Angle] = admmatrix(Busnum,Linei,Linej,Liner,Linex,Lineb,Transfori,Transforj,Transforr,...
Transforx,Transfork0,Branchi,Branchb);
[P0,Q0,U,Uangle] = Initial(PG,PD,PQstandard,Pointpoweri,QG,QD,Busnum); %求功率不平衡量
disp('迭代次数i 最大不平衡量');
%% 循环体计算
for i = 0:kmax
[Jacob,PQ,U,Uangle] = jacobian(Busnum,Balance,PVi,PVu,U,Uangle,Y,Angle,P0,Q0,r,c); %形成雅克比矩阵
% disp('第一次雅克比');
%full(Jacob);
m = max(abs(PQ));
m = full(m);
fprintf(' %u %.8f \n',i,m);
if m > Precision %判断不平衡量是否满足精度要求
[Uangle,U] = solvefun(Busnum,Jacob,PQ,Uangle,U); %求解修正方程，更新电压变量
else
disp(['收敛，迭代次数为',num2str(i),'次']);
break %若满足精度要求，则计算收敛
end
end
toc;
end

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function[Uangle,U] = solvefun(Busnum,Jacob,PQ,Uangle,U)
%**************************************************************************
% 程序功能 : 子函数——求解修正方程
% 编 者：
% 编制时间：2010.12
%**************************************************************************
%% 计算修正方程
PQ = sparse(PQ);
X = (Jacob\-PQ')';
%% 更新电压变量
Uangle = Uangle+X(1:Busnum); % 更新电压相角
U = U+U.*X(Busnum+1:end); % 更新电压幅值
end

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sy.m Normal file
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clear
clc
syms T11 T12 T21 T22;
syms V1 V2;
syms Y11 Y12 Y21 Y22;
yP=ones(1,2);
AngleIJ=[T11,T12;T21,T22];
Volt=[V1,V2];
Y=[Y11,Y12;Y21,Y22];
t1=-diag(Y.*cos(AngleIJ')*diag(Volt)*yP');
t2=diag(diag(Volt)*yP')*Y.*cos(AngleIJ);
t3=(t1+t2)*diag(Volt);
t4=-(diag(Y.*cos(AngleIJ)*Volt') -diag(Volt)*Y.*cos(AngleIJ') )*diag(diag(Volt)*yP');
ddPdTdT=t1+t2+t3+t4