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首先声明一下，这些是从网站上转载的，不是本人上编写的+ o/ A( t/ k% l
基于MATLAB的电力系统潮流计算: B9 e3 ?: _; d( T2 r/ D
) E9 p b; H# \) ~. l* |
%简单潮流计算的小程序，相关的原始数据数据数据输入格式如下： E$ s( P4 i+ V( a
%B1是支路参数矩阵，第一列和第二列是节点编号。节点编号由小到大编写
" I5 U3 J" a+ c% F8 X4 s, x' N8 V0 S%对于含有变压器的支路，第一列为低压侧节点编号，第二列为高压侧节点
# y% P- P3 x. q. S. U$ b%编号，将变压器的串联阻抗置于低压侧处理。( _9 X& U( b# ?
%第三列为支路的串列阻抗参数。) g. z j( R1 k
%第四列为支路的对地导纳参数。. B2 V5 @, q; i1 G# ]
%第五烈为含变压器支路的变压器的变比' X, F! W- Q, C( p8 C6 g& L
%第六列为变压器是否是否含有变压器的参数，其中“1”为含有变压器，5 |0 z' e( t* b- p6 l, z
%“0”为不含有变压器。
# C- W% {% J) I5 [1 V0 a* B%B2为节点参数矩阵，其中第一列为节点注入发电功率参数；第二列为节点
g$ X' K- ]9 D# V' y%负荷功率参数；第三列为节点电压参数；第六列为节点类型参数，其中: J+ u9 `. {7 k7 E# J) O9 B' R
%“1”为平衡节点，“2”为PQ节点，“3”为PV节点参数。
) g. o0 l" M5 D+ E
9 h( z Z# \- S( ^0 t+ L, w%X为节点号和对地参数矩阵。其中第一列为节点编号，第二列为节点对地
3 k0 O/ f" A) W& b7 r$ U%参数。1 d4 {& p z, d
n=input('请输入节点数:n=');; ^& z) ~( H9 l# x& Y" ^% x
n1=input('请输入支路数:n1=');+ ^: @4 [6 V7 D" m
isb=input('请输入平衡节点号:isb=');
8 v |. ]# I l( q! X' fpr=input('请输入误差精度:pr=');
6 H3 g W3 X, [$ O: kB1=input('请输入支路参数:B1=');
I# F/ [0 y: t% rB2=input('请输入节点参数:B2=');
# p# {$ ?( V k2 {5 X- O VX=input('节点号和对地参数:X=');1 T' {+ Z& {' M& I
Y=zeros(n);
( q" G8 w1 \" s, u8 h9 CTimes=1; %置迭代次数为初始值
5 v/ k2 o+ k2 o; {, G7 `5 S" H%创建节点导纳矩阵2 ]" U: t9 b" B T
for i=1:n1+ A9 o5 b- V& b" \9 B
if B1(i,6)==0 %不含变压器的支路% {$ N" O1 H1 }
p=B1(i,1);6 J3 g' U1 d, E' f
q=B1(i,2);
3 F h2 g9 Z" @) a* q$ } Y(p,q)=Y(p,q)-1/B1(i,3);
3 t2 _. D& S: E4 J# C& S3 \( m Y(q,p)=Y(p,q);9 U+ T( B: X$ I& V" n
Y(p,p)=Y(p,p)+1/B1(i,3)+0.5*B1(i,4);$ C! c$ D9 x8 V/ E/ k
Y(q,q)=Y(q,q)+1/B1(i,3)+0.5*B1(i,4);5 |, z2 N7 P4 m( J7 O
else %含有变压器的支路' B7 \$ x1 k9 M# e0 n5 A0 G2 O1 w
p=B1(i,1);, V0 }/ T& [% w: ]$ C' F1 Q
q=B1(i,2);3 Z2 |/ O; a+ R/ J
Y(p,q)=Y(p,q)-1/(B1(i,3)*B1(i,5));
) e! ^2 C/ g% H1 R1 X$ [( c: ^ Y(q,p)=Y(p,q);
& Y. l+ }2 A" h* m4 H# U5 p ~ Y(p,p)=Y(p,p)+1/B1(i,3);
# U# J# S+ o0 s Y(q,q)=Y(q,q)+1/(B1(i,5)^2*B1(i,3));6 J2 ], b5 p1 j( ~" y! l5 _
end
$ g5 I& m" Q% @5 y e# `7 uend
1 n! K5 v+ G5 _" O( y/ I' z1 ?! sY
% q) m+ K; K( G' b8 I0 j$ ZOrgS=zeros(2*n-2,1);
- y6 M4 D5 P# v3 B7 V' u( T- EDetaS=zeros(2*n-2,1); %将OrgS、DetaS初始化
6 Q. q% k" S' E%创建OrgS，用于存储初始功率参数* Z/ b7 I3 m8 J* S; P
h=0;
" f& v# Z. D* ^, E C# yj=0;7 P* C' y( J4 a3 d2 p
for i=1:n %对PQ节点的处理
$ d1 H, i+ \" M* ^/ |0 f1 U if i~=isb&B2(i,6)==2
; I. r4 ~, F! t+ S$ W h=h+1;9 z& i# V+ n9 n. ]4 J5 E
for j=1:n7 J; E( y' i$ x0 @( M+ P
OrgS(2*h-1,1)=OrgS(2*h-1,1)+real(B2(i,3))*(real(Y(i,j))*real(B2(j,3))-imag(Y(i,j))*imag(B2(j,3)))+imag(B2(i,3))*(real(Y(i,j))*imag(B2(j,3))+imag(Y(i,j))*real(B2(j,3)));
# R# ?& Z' V5 ^4 j. M OrgS(2*h,1)=OrgS(2*h,1)+imag(B2(i,3))*(real(Y(i,j))*real(B2(j,3))-imag(Y(i,j))*imag(B2(j,3)))-real(B2(i,3))*(real(Y(i,j))*imag(B2(j,3))+imag(Y(i,j))*real(B2(j,3)));
2 M( Q8 I( L& K7 _" n end+ M1 g7 L; ~3 ^( P9 A; \4 K# }5 N$ q
end$ A v2 Y$ V' M. S
end
2 ^; u+ @* Q8 t! B- ~; \for i=1:n %对PV节点的处理，注意这时不可再将h初始化为0. l# R2 G7 @1 G( K; L* M. g
if i~=isb&B2(i,6)==30 W0 \! Q1 `' T1 l- b/ K9 u
h=h+1;
4 M6 p5 e( R: I3 n+ p a# v for j=1:n
n% B9 q3 i' M0 J OrgS(2*h-1,1)=OrgS(2*h-1,1)+real(B2(i,3))*(real(Y(i,j))*real(B2(j,3))-imag(Y(i,j))*imag(B2(j,3)))+imag(B2(i,3))*(real(Y(i,j))*imag(B2(j,3))+imag(Y(i,j))*real(B2(j,3)));# X$ N( m; j B4 d; o ?+ m5 I
OrgS(2*h,1)=OrgS(2*h,1)+imag(B2(i,3))*(real(Y(i,j))*real(B2(j,3))-imag(Y(i,j))*imag(B2(j,3)))-real(B2(i,3))*(real(Y(i,j))*imag(B2(j,3))+imag(Y(i,j))*real(B2(j,3)));
; R, Z( W+ E* X% u end: m8 ]' r" O) U a
end
1 c, b! O4 d+ k2 N3 K* S4 ~end
8 @) \% s) d6 U& EOrgS
3 K& q* L, W( _' v* e3 W/ h%创建PVU 用于存储PV节点的初始电压
) V* y9 G5 F* d7 sPVU=zeros(n-h-1,1);
! @! k, j! a: g4 f' G8 K# yt=0;- |6 k, |: Y1 o6 i
for i=1:n
1 E3 J( s& U2 J& D6 v6 y if B2(i,6)==3
1 U3 \, `% w; V1 r t=t+1;- y" q: L7 z+ e7 B7 C8 W: k
PVU(t,1)=B2(i,3);" j6 r/ ~4 E; u) p
end
0 c4 _. ^0 o7 V/ Hend$ R: [. m% B$ O6 \2 H8 h5 C
PVU5 H; w0 V Y7 `4 B" g# U$ R
%创建DetaS，用于存储有功功率、无功功率和电压幅值的不平衡量4 u @, u, U' W6 f- J+ ~5 R/ e
h=0;) l9 ]5 w+ @, Z
for i=1:n %对PQ节点的处理
& ? a9 G8 v8 [6 j% K2 E if i~=isb&B2(i,6)==2" U' x: U! G" p3 a) O7 M
h=h+1;
. i* n7 N8 x, f) V7 _9 K DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);" n1 E' V& g% C% M' `& v
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);
( n1 h: O# l( l end+ V% a$ k9 s. \5 ^3 U
end6 q: a5 D0 A/ k! n
t=0;
3 ?8 E! R8 X K: n& W! X8 ufor i=1:n %对PV节点的处理，注意这时不可再将h初始化为0; A9 j# G1 j( b% w( x! X
if i~=isb&B2(i,6)==3
' `0 Z$ X; Q [* W7 @ h=h+1;% W' }6 b& G6 V
t=t+1;$ W1 ^4 s) J5 e' J
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);) @2 d% K5 G S- M6 K0 t
DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;
8 t1 ~1 k6 z+ y# X" {2 B2 E end* q: V/ B3 m- K# L6 O" A* B( U
end. ^, Y( Y7 P) @/ y& c
DetaS" u0 { [* h+ w' V3 C& f
%创建I，用于存储节点电流参数. K7 \9 } `2 j$ H. w
i=zeros(n-1,1);9 M% T3 z3 K* d- D \6 ~/ Q. J
h=0;
' B& g% _9 K' q% Lfor i=1:n
& a0 [8 {$ ?* w- t if i~=isb- C5 x) z7 B5 _: ]9 W; r8 p1 R
h=h+1;5 F5 S& V9 a' g
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));
1 }8 ~" p/ m0 d. n0 r# C end# ^6 r3 t; m9 M; L! C; T
end
: l/ J/ j+ u# n+ F4 [I
. I1 T1 O; {; [! V%创建Jacbi(雅可比矩阵)
* f O- k' j6 V9 }' aJacbi=zeros(2*n-2);; ~' P2 g$ m/ N3 g, T: K7 m
h=0;
- |; J% o+ F8 b+ ck=0;
) m. X5 S5 X+ z7 q" ^0 Gfor i=1:n %对PQ节点的处理8 C& z& y, s. ]' [' B
if B2(i,6)==2
/ V; C) e5 ]1 p h=h+1;
4 D) U S; Q6 y/ R) a @ for j=1:n
6 k( u- V& U3 [+ X: V if j~=isb
: r. m& d, Z/ n' ]4 H k=k+1;9 S$ r9 b- ~9 e
if i==j %对角元素的处理
5 @+ X4 n( v3 M; A Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3))+imag(I(h,1));, H, H5 R: l7 E8 \
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3))+real(I(h,1));
6 G/ G2 @8 E4 [: z) t Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));% p2 o7 T3 W a- _- p1 Z
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));
; r" I7 l& J. W. g4 I2 ^ else %非对角元素的处理( F( R: G9 W* }+ a( m
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
, l6 \7 z1 X* }1 d* `6 }4 U8 G Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
8 ^ F u) T9 T' w6 d: S Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);2 @- V2 a3 n6 N0 P, n1 R
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);* Y- d. l4 ^: P; W$ d
end
- L% k |, P. j$ f& E8 R if k==(n-1) %将用于内循环的指针置于初始值，以确保雅可比矩阵换行
2 T) X3 B+ O3 A k=0;
$ @3 m' R5 c, o0 ~ end/ g4 h) ^' ~8 |8 ?8 c% h4 Q# G$ D
end9 @$ J0 O% I) A x: k1 }
end
; z6 R* z3 `6 @- M. m9 X+ S) g end- k7 m' V; I O+ E' Y/ `
end$ \0 Y( a* k; M
k=0;. m2 P6 g+ L f1 H
for i=1:n %对PV节点的处理- `: U; `+ J/ V0 M
if B2(i,6)==35 Y. N5 M/ E( J- S' r3 o
h=h+1;. e# t' X: c0 f6 `
for j=1:n% c; K6 z/ I, u
if j~=isb
, c; w1 v' z7 A k=k+1;
/ ^% w5 E( ?# z# j7 b4 } if i==j %对角元素的处理
% B* U" J4 l6 A$ }. _ Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3))+imag(I(h,1));6 S% t* |1 ?' D
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3))+real(I(h,1));
5 m4 W' C6 r# |; F( g8 J1 |1 J Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
1 }( g; G/ o1 t Jacbi(2*h,2*k)=2*real(B2(i,3));. G! P5 v6 b. p8 z# f8 T8 d" s
else %非对角元素的处理
" E p# ]- ^% A& ^9 z. [, Q5 Z4 A" G Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));" b6 S) q0 T5 g' \/ Y, }
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));2 K j# [( H# E" @+ O, `
Jacbi(2*h,2*k-1)=0;
7 D/ R% W( R) K% p! m+ | Jacbi(2*h,2*k)=0;2 ?) M; r* }! N% f
end+ ]% \: T3 c' Q( ?. \
if k==(n-1) %将用于内循环的指针置于初始值，以确保雅可比矩阵换行
+ f& I: C' ?( U( M& d k=0;5 s7 |# a2 m \' e2 \ ^" ]7 ?
end
2 Z5 r: i5 E* Q# [ end
9 J) I6 p, d0 R end# I8 I7 s" p4 B) j5 W
end
6 `& M7 p+ h, l4 N% @2 l7 zend" r& k! n+ S3 `" ^ q( w
Jacbi+ r$ q% s+ v* a% {5 G
%求解修正方程，获取节点电压的不平衡量; t$ K: K" z' s" \
DetaU=zeros(2*n-2,1);
* E/ j/ F s& p- A0 eDetaU=inv(Jacbi)*DetaS;
$ J1 l2 \) d8 C$ C( w) UDetaU
% Z9 `0 @( k4 B* f9 v7 [%修正节点电压
$ N# j7 {5 _' \6 S4 D" N* K1 @j=0;
" ?) P* e6 }+ [7 w% xfor i=1:n %对PQ节点处理6 n6 P# i2 f. `" S5 u! t& y
if B2(i,6)==2% T _; v& T: H z
j=j+1;3 N B8 A; S+ ~9 D$ q9 t& ]
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);9 z6 Y2 p$ q# r9 B
end
; l* O+ n3 h$ U8 e5 Qend
8 \ |- d7 F+ t" m: M- ffor i=1:n %对PV节点的处理
! [+ c9 Z5 c+ {0 p5 b3 c2 i, k; w if B2(i,6)==3
1 g, p! t/ q- x j=j+1;6 ]7 t, u5 X( j1 g+ }4 c/ F5 N
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
) P8 v! l }8 l: W( l/ S end6 P7 b- C0 L' j6 z3 l4 V
end
- Q3 C5 q, o; L9 q1 K nB2
3 t/ f- @1 O( ~+ F$ m7 { G%开始循环**********************************************************************
# H. J! V t4 [6 M# owhile abs(max(DetaU))>pr3 r; ?, c, g! Q% }3 G7 ?/ ?2 M
OrgS=zeros(2*n-2,1); %!!!初始功率参数在迭代过程中是不累加的，所以在这里必须将其初始化为零矩阵
: e _0 `# ^7 n% x. Hh=0;
. h" P- {* e% d& c, B, I' aj=0;
3 O8 f7 q! }( `4 Z* ?9 L9 {) ufor i=1:n- H5 M4 X% L( K
if i~=isb&B2(i,6)==2# P+ S+ r# U) @4 ]8 C
h=h+1;
g0 a. u# E% N$ E( U' B for j=1:n
' a* R5 D+ O$ U: T OrgS(2*h-1,1)=OrgS(2*h-1,1)+real(B2(i,3))*(real(Y(i,j))*real(B2(j,3))-imag(Y(i,j))*imag(B2(j,3)))+imag(B2(i,3))*(real(Y(i,j))*imag(B2(j,3))+imag(Y(i,j))*real(B2(j,3)));! d* o8 j1 w* b( Y8 I% X
OrgS(2*h,1)=OrgS(2*h,1)+imag(B2(i,3))*(real(Y(i,j))*real(B2(j,3))-imag(Y(i,j))*imag(B2(j,3)))-real(B2(i,3))*(real(Y(i,j))*imag(B2(j,3))+imag(Y(i,j))*real(B2(j,3)));
; S F& j8 M& ~6 }1 X6 W end
( F2 G, T- V2 x5 w" I( e' h8 ]7 e* ` end
3 W( _" z9 O% w2 ?3 Nend
# w: w3 b7 O# v) {4 c5 o, w8 C9 }for i=1:n
- z! e5 W/ x K6 Z- y* N if i~=isb&B2(i,6)==3
$ t' h% G# g, e: f h=h+1;
7 c6 I8 X6 y2 j# l for j=1:n0 `2 t1 M" P7 F! h7 h, f
OrgS(2*h-1,1)=OrgS(2*h-1,1)+real(B2(i,3))*(real(Y(i,j))*real(B2(j,3))-imag(Y(i,j))*imag(B2(j,3)))+imag(B2(i,3))*(real(Y(i,j))*imag(B2(j,3))+imag(Y(i,j))*real(B2(j,3)));
. B; L7 q# s* T- d OrgS(2*h,1)=OrgS(2*h,1)+imag(B2(i,3))*(real(Y(i,j))*real(B2(j,3))-imag(Y(i,j))*imag(B2(j,3)))-real(B2(i,3))*(real(Y(i,j))*imag(B2(j,3))+imag(Y(i,j))*real(B2(j,3)));
1 h" E X2 [/ \" B. \( b end2 ^* _: u* v: l a, s
end
8 o z! w# O2 u5 [+ O1 I" {end3 v o8 E D7 T) R) y
OrgS
7 Q* _; |; |+ R/ \9 A%创建DetaS
5 W' _% V- e; Th=0;
9 H4 c' S. u6 y* M- T5 rfor i=1:n
5 G. e4 A0 f& b: n$ G. Q if i~=isb&B2(i,6)==2
8 i; ~% n( X; O" ?/ t1 P h=h+1;4 C- H' E8 ?& y; X7 u
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
. u6 M7 F0 U7 }/ B. S4 ] DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);; R4 p( l* F7 h
end; p7 C* H0 V* y3 [; C, F/ J
end
( P6 ]( }9 C5 F, M/ ht=0;
, z6 ?' g$ ~! x0 R! rfor i=1:n
( o1 l+ U: l1 k. S3 t& Y4 z# U if i~=isb&B2(i,6)==3
P$ E8 p; a& ~: h6 ^6 ` h=h+1;2 [, | S8 x0 `6 i/ Y7 _* y4 r8 m! B
t=t+1;8 U- d: ]# U. r2 O3 P- J
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
* {' Q/ k# j' w! c3 `" | DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;; j% \- x; P$ S7 R& }) A' x
end
1 i" u7 E3 X" U. c- R7 Y7 rend6 G& h% a) {$ x" U2 l0 g" K
DetaS9 o, ?+ o0 k! k) q
%创建I m* ~& U& }4 h- A* X7 z
i=zeros(n-1,1);
( _. W* B/ W8 z3 J {( j' ]- M& Sh=0;
# r2 l( u& F. L7 T5 ]for i=1:n5 e- b" B. L& p- R5 s
if i~=isb
! b1 i9 u1 ]9 [. ?3 V3 N# D h=h+1;% ~; g) s' j" J2 H- ~
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));1 R1 f# B, z1 `$ Z
end
* @+ P% t6 y5 m T+ c, Vend
0 [5 J1 h4 b2 |) j1 EI
8 H/ Z1 A$ X p7 Z6 X) M%创建Jacbi* B. f* C8 t# g" @1 _6 R
Jacbi=zeros(2*n-2);% w$ c9 e* T0 B5 l# t: U
h=0;
- L8 i1 e8 |& g- k. y- H/ _k=0;$ a: m6 ?2 u: A" D4 i9 h8 h
for i=1:n5 G# l' }7 z3 ~# ?7 R3 a9 g
if B2(i,6)==2
8 J5 g: ]; R5 g+ ~0 c" A& R h=h+1;
$ \; ~- W8 N! J4 j3 M for j=1:n
% g; P v l+ d# o7 z4 D1 z if j~=isb+ H: t5 {! W4 p7 w) h
k=k+1;3 ?( H$ p1 E4 N9 K
if i==j
, c4 E, T8 @. e! e3 k' D! e Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3))+imag(I(h,1));$ B2 @; ?3 x" s+ d, {6 W' ?7 l
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3))+real(I(h,1));
$ g' \& M7 q( o( z4 ]& ] m/ ^$ r/ P6 A Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));
( x M% a. d5 z Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));
0 B8 F/ N1 r! p9 J; n2 S else
L- m* A3 w( [, [ Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));1 U1 c5 {6 W1 G. i
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
( D9 w7 T7 f2 o& G$ n Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);
; ] E( n# B2 y! @( I Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);
! b; G: p: Y; z" c, {; { end
' p- O9 ]* _4 P if k==(n-1)
9 z% x0 c7 F# b, B5 t+ P, l3 Y k=0;
* I: B' q. u; o) n# M end& g/ p! N% p9 B# @1 w- a2 S
end! m( w& ?: y) d" w3 z
end- L3 j7 @: m0 ]$ k: d1 L
end
" Z' s' w- u; z- ^end
; X2 k( A, [- d' v' _0 f& E! ]k=0;
9 G- ?% i( C; R2 A3 J2 mfor i=1:n! _8 A. Y+ C0 u. R4 j8 d+ {
if B2(i,6)==3
7 M% @1 Y# i7 A1 T+ f0 W% ? h=h+1;
; R6 e* I1 E, a) e6 f6 F for j=1:n
/ w2 a- `, Y9 q0 { if j~=isb$ u ?: V. i3 W9 O0 [* U3 n U& o' Z4 X
k=k+1;1 v9 W9 r+ S( Y9 |+ t5 f6 |3 t" `
if i==j8 l3 f) E. p \. ^5 @( o* {* m
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3))+imag(I(h,1));
6 L* x5 I' j$ o5 K: G4 i Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3))+real(I(h,1)); X- J6 C+ T! M
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));" c6 W, L; W4 c+ R4 l* R
Jacbi(2*h,2*k)=2*real(B2(i,3));
& ~! z. Z# d* ?& A else
) W0 s* F, U. R, B3 D" w! \ Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
; D+ a3 }: t5 h' O! k5 P Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
3 L. Y+ t1 E& T2 F. ? Jacbi(2*h,2*k-1)=0;6 g- I! A4 }4 N9 l/ c( U
Jacbi(2*h,2*k)=0;, C4 S) [; v1 y! ]. c% O
end
5 W9 G4 W% u- ~: g8 ?7 [' Y, ~& L if k==(n-1)! V- } q( Z4 {
k=0;/ \. @0 n- Y! J2 [0 a
end& f ]1 Y; x8 N$ X& C! |; z7 ~
end
8 e% n8 E0 S: q% m& _; ]) P+ k end
) h. V b( y3 `: z# t8 Z7 @ end0 I: ]/ [$ @ @
end
# I3 ?( D) S" w4 {Jacbi
+ r0 b: X1 v8 b% j& v1 q* T. LDetaU=zeros(2*n-2,1);7 c0 Y: }1 U% V4 S7 ~; x
DetaU=inv(Jacbi)*DetaS;
# j5 @6 l/ n) X+ E# yDetaU! Q; a9 h. ?: f( m" o+ Z$ B# f
%修正节点电压
2 Y) d& A( y* r) @- Lj=0;4 C2 I% Q" p: _. I, |
for i=1:n3 Q! w G9 H+ s
if B2(i,6)==2) m# b! z. j+ v! u4 p9 ?1 W
j=j+1;" G. \( J4 n9 E" T
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);$ E3 q7 A: }. n; W8 D3 m
end
" Y' ]/ i7 q& m# c6 @, P1 yend
! A Z, u0 z* R ?3 N6 X2 k, Tfor i=1:n
' L& q( r- ~' P7 V# B8 s if B2(i,6)==3' C7 K3 X0 z5 Q8 Q0 @# u2 ?& w* u
j=j+1;# O' C7 k: |8 ~. r( x
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
# W* @/ ?1 e% E end
; z1 ^* i# B1 {# y# i- _; E6 T. i& h$ dend. O( T/ t3 p" L( t3 Z: F
B23 {$ B- T6 o, K3 d& q
Times=Times+1; %迭代次数加1
1 A% p& D* D4 Dend( c+ ~# o( j( t# R: s
Times% h6 C& k5 t8 t0 G; X& x
6 S8 f) a2 u3 d7 A3 ?一个原始数据的例子7 j( j* J8 f: Y J, q6 t
节点数 5/ {& O# d- x* l% t" K
支路数 5& a: t2 x- P5 d( T/ g) e7 n8 N
平衡节点编号 5! L) ^: `$ e4 `# B0 Q; \4 f2 `* @
精度pr 0.000001
& y8 Z' D M. h0 a. P& i! oB1(支路参数矩阵)
. ?- O! Z) S9 z1 b4 r% _[1 2 0.04+0.25i 0.5i 1 0;1 3 0.1+0.35i 0 1 0;2 3 0.08+0.30i 0.5i 1 0;4 2 0.015i 0 1.05 1;5 3 0.03i 0 1.05 1]
9 y' ~0 _% y8 {1 w3 ], UB2(节点参数矩阵)
7 u' r' A, J D! ]# W% c* Q[0 -1.6-0.8i 1 0 0 2;0 -2-1i 1 0 0 2;0 -3.7-1.3i 1 0 0 2;0 5+0i 1.05 1.05 0 3;0 0 1.05 1.05 0 1]6 W A. e1 m- u! d3 U7 @4 ~: d
X(节点号和对地参数), f _9 U, p; M; B
[1 0;2 0;3 0;4 0;5 0] |
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