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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$ n6 x2 S% T) g6 v8 d8 S
基于MATLAB的电力系统潮流计算3 x; V! ?2 C3 j% ~
! K8 ?3 J- e" `
%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：. s" {1 g$ ^" J f
%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( i- c' r8 Q( b4 J. n5 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
4 P( H+ N& c& @$ N%编号，将变压器的串联阻抗置于低压侧处理。" W: @" g& X8 c4 _9 C9 W: d% b
%第三列为支路的串列阻抗参数。/ U/ q9 }* G4 G
%第四列为支路的对地导纳参数。
5 O) g0 s+ C# r%第五烈为含变压器支路的变压器的变比& g- [( h: j9 a; C9 W9 {' D
%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，
, C% g Z. [9 K# |# X%“0”为不含有变压器。
) B1 u4 }4 D) T m! D% |( y%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
7 J% E- I( t# a W%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4 ]9 V0 U9 S; X( [: C6 B% |
%“1”为平衡节点，“2”为PQ节点，“3”为PV节点参数。0 y; t+ B& ]3 A3 Y; a5 e0 _
9 v7 F% J2 Y/ @. _1 C%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6 q5 w# d5 {- F }4 J* h' T
%参数。 H( C& J- O8 i- C( u R
n=input('请输入节点数:n=');
" Y: m+ K2 P1 i' b, Q; [n1=input('请输入支路数:n1=');
- j4 i* r. r7 | {! F6 {- misb=input('请输入平衡节点号:isb=');6 {2 m, ~, x! R7 d) E9 A6 ~
pr=input('请输入误差精度:pr=');
% W4 H b0 i! P" t. q2 C" J) w+ w# V' m4 _B1=input('请输入支路参数:B1=');
+ x9 Q7 _) f+ |7 ]' u& Y" s+ nB2=input('请输入节点参数:B2=');/ E: s% S! ^. u2 l; V" C' M1 B
X=input('节点号和对地参数:X=');. D3 b" k0 J1 f& M) t- Y$ x5 X$ U
Y=zeros(n);
6 i2 Z% P$ t2 E! ~8 ]2 fTimes=1; %置迭代次数为初始值2 n$ g" o# ]) f
%创建节点导纳矩阵+ _1 n& m0 o) B, ?/ _9 @) q9 t+ |
for i=1:n12 u W4 V. ^$ Q$ l! Q
if B1(i,6)==0 %不含变压器的支路
- M& l9 T; r$ `% y2 ^2 C# @' r- Y$ r p=B1(i,1);
3 N$ f. L' F+ f q=B1(i,2);9 x1 w' ~" A, y
Y(p,q)=Y(p,q)-1/B1(i,3);
3 B( l& x- E- Y7 H8 E Y(q,p)=Y(p,q);8 D5 D" ^' H9 M( @' \. ^
Y(p,p)=Y(p,p)+1/B1(i,3)+0.5*B1(i,4);
l1 l+ R, o& ?- f8 B Y(q,q)=Y(q,q)+1/B1(i,3)+0.5*B1(i,4);
3 l4 i/ `- t, L) \, [ else %含有变压器的支路
; f2 c" C) A; J" o; {3 ` p=B1(i,1);4 M6 r' R, w h. _
q=B1(i,2);
- V& H) p0 [# B3 E Y(p,q)=Y(p,q)-1/(B1(i,3)*B1(i,5));
- r0 P. Y0 s* e' D) Y( p Y(q,p)=Y(p,q);! x+ V; m+ i0 U k2 u+ e( m
Y(p,p)=Y(p,p)+1/B1(i,3);
" j% ]1 ~# u' |+ ~! V3 r( e Y(q,q)=Y(q,q)+1/(B1(i,5)^2*B1(i,3));
1 b3 Z; Y1 _7 ~8 d# Q F end" L& Y; c' {7 h0 i
end
& n0 c! {; u' r$ pY7 U% m/ F& Z* m8 V1 R" V; t
OrgS=zeros(2*n-2,1);
- v" Y# _0 g6 fDetaS=zeros(2*n-2,1); %将OrgS、DetaS初始化4 P4 Q$ V# t* s9 W+ S
%创建OrgS，用于存储初始功率参数
( k( x# Q: u8 b* J( w5 Mh=0;
) f3 ?, x1 f! t& k: uj=0;
5 h3 G3 j, m0 t# y5 s( Z6 |# v: e& pfor i=1:n %对PQ节点的处理( j* {" i. G% M! I4 @: i
if i~=isb&B2(i,6)==2
8 W/ U" }- r3 Q3 H% ~0 {. D" n h=h+1;
3 p2 \0 a7 ~& n* Q c1 X8 q for j=1:n* o/ z- u8 o/ N) \8 p) 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)));
- C: |% @) b: T7 K! R/ K 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)));
3 f. I, ?, ?, M! z- M' i5 V X( H4 @ end
; i( F; V. S7 e end& V3 _; P! _( k% t8 `# z: i
end Y/ u7 q$ m% x; |
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
4 T. ?/ E( J% w) g" F if i~=isb&B2(i,6)==3: H0 k: M% }% q( {; r
h=h+1;
1 B& r, N4 b3 K9 C2 N for j=1:n
0 n9 b# [- c; m) z2 p' Y 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)));( z+ R, g" f% j6 W
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)));
' p* P4 Y) T7 ^1 K end
/ `& f6 L& E! A9 `/ m7 I( m' o) t end
/ b9 v1 {* h, ]- N. R5 W" l7 n* I! Uend
# w, n. m& x9 z! lOrgS5 G& N% Z; r2 G( \4 l
%创建PVU 用于存储PV节点的初始电压
8 m. s* S% }6 zPVU=zeros(n-h-1,1);: {* w) B: U5 ? \' A) p4 A3 f& ]
t=0;
) d1 S' _0 I2 X! jfor i=1:n
6 a& W; O9 c# ~ if B2(i,6)==3: f8 [4 K# @5 j
t=t+1;
9 I$ d: M3 p t. I* C PVU(t,1)=B2(i,3);9 k {. x+ J+ q8 v6 f6 k- v
end
( S, y- E, A" wend4 U+ Q/ Z/ V$ Z! q- j% u/ ]0 o
PVU0 {& A+ s1 Y9 z B7 e) i. ^# g
%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2 N% n8 y6 }0 d" s
h=0;
. I9 p1 e8 f' [. e7 \. wfor i=1:n %对PQ节点的处理+ I3 e4 N+ b' A
if i~=isb&B2(i,6)==26 u( p! d/ g/ Q$ L" l# r
h=h+1;6 S& \) j4 ]% W4 X& C3 F8 K
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);' j3 m) H3 ^1 S' S8 [
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);" L4 }" @, n! S( M0 V
end
% N8 ]# X {9 h4 b& V+ Oend
* i2 B ~" v( X$ m% Xt=0;0 p* U) l+ B( q/ H( j7 }
for i=1:n %对PV节点的处理，注意这时不可再将h初始化为05 v" a7 L. O2 b6 q# N
if i~=isb&B2(i,6)==34 c$ _$ L( m2 v" Z! l0 N
h=h+1;( Z0 I6 _) g0 ?# n" G
t=t+1;# \2 d% ^) u4 j
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);8 O. y% ?4 w3 g0 F+ b5 D4 L
DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;0 V' h8 y, T7 b9 M* t( v1 O
end/ q. }$ f# \1 a5 ]5 H; W7 \
end" l ~% s2 ]- g l1 g
DetaS
4 m( N- A4 [ U4 \" e# j%创建I，用于存储节点电流参数" O/ |, [3 c( e! e4 S: a: I
i=zeros(n-1,1);
$ j1 S3 J* h. n' H! }* |) q0 n3 mh=0;
# ~# Q. A- l4 q) l1 Pfor i=1:n
2 h$ M: D" [- F8 ?3 z if i~=isb& O. L$ t: s6 r2 U' O
h=h+1;
# i* P& m9 C, |' ` I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));
; s+ S$ e; K9 v, q* ^8 a end/ B- P$ c# |) t/ g& h8 M; L
end
5 K& U" |+ k' U: KI
- a6 h6 Y% z9 `%创建Jacbi(雅可比矩阵)
, y! c- i6 Z) v2 A# t1 f, n: o& T# SJacbi=zeros(2*n-2);
* A6 @% u: v, Jh=0;" r' B0 B& _: @% w: b
k=0;
0 l' s* w/ S) B/ i; ]: _for i=1:n %对PQ节点的处理7 b; \+ [$ d( P6 Z5 [- {* I5 q* b
if B2(i,6)==25 }/ E- I0 g. x. `
h=h+1;
+ y, L& A: y8 u for j=1:n6 x/ y: O# @! J- i& z w+ v
if j~=isb
0 C' y4 d) H- X8 s2 s7 U k=k+1;; y# T: h+ b% T$ ]! M
if i==j %对角元素的处理
1 F9 C) r/ _# W$ H0 e5 C. y: p 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));- u8 V6 N3 s0 E0 g# L5 ^: q
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));
. X3 h3 l6 N4 m3 s+ m. T0 _ Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));9 _* _% N( ~& j+ w5 f1 I
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));0 [; ]' K8 W5 y! j5 C
else %非对角元素的处理
; p8 _( D& E2 x4 t/ L Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
% l! B& V6 t& f6 S7 @7 G. P# W Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
% w2 s/ ]5 N& S+ |! H* d Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);' U L6 P: j1 q
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);0 L2 y2 g1 V% x/ p/ o2 p
end7 j% K# M1 D& V4 S( V7 a0 I
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& |0 v+ ~& {2 D. u
k=0;
1 T% L! q) q: G' D end
# ^' p5 p( X+ Q+ H% m end% l$ e: n9 F8 m" n! _
end/ @- S3 o/ D0 e! m9 J3 C) `
end S+ _& F) E/ I4 ~
end
( o( Q9 y. `# G$ {7 R' lk=0;8 d7 @! J) T1 \- r
for i=1:n %对PV节点的处理
q* B* A; A6 B9 p# ~ if B2(i,6)==3
. w5 F1 W/ N7 N: ^( d$ n( v h=h+1;) H/ a. j, @5 A0 U
for j=1:n
6 ^ ^- p9 z/ y) i( D9 J4 @, x if j~=isb
7 |5 J/ Y. s6 `. I9 X+ o; @7 O k=k+1;
& ]) q5 v9 K! a U( d if i==j %对角元素的处理
; C9 q5 ?* z9 V 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));# t: W& l' m" y; c6 v- J" A
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));
1 d6 I# ^' W, }0 |4 Q6 s" D% G Jacbi(2*h,2*k-1)=2*imag(B2(i,3));1 k- T: V- k8 y9 W; p+ x* E& W
Jacbi(2*h,2*k)=2*real(B2(i,3));
, ?4 W1 K0 M) k% T else %非对角元素的处理5 z6 m: I8 X( D5 v: W7 F
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));7 ^$ t2 j9 a* W! D* K7 [5 g" m
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
, j4 L- g9 Q3 C6 f Jacbi(2*h,2*k-1)=0;
/ Z a3 R/ p Y9 r7 K# l Jacbi(2*h,2*k)=0;! V9 J+ B8 F3 C1 i7 \% q! X
end( ]6 p5 C" `0 Y
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6 R, ]3 v+ ], [
k=0;; l2 `! j0 c" T5 M6 X" ~
end' E* k' i9 W# ~) y
end4 N. r4 h2 a: z! R* K9 z6 ~' |4 l( z: K
end* b( l3 u5 a$ b1 n4 \2 x6 z& u
end
% l" m6 e; C8 E2 `! f! Iend9 w N* T& l0 P& T/ B% q
Jacbi( x7 H3 m/ E1 e* \# A
%求解修正方程，获取节点电压的不平衡量
4 A% d) n) E6 a7 d k, p/ CDetaU=zeros(2*n-2,1);
* ]# ?' u& K9 p# iDetaU=inv(Jacbi)*DetaS;
, N: p6 q3 A& V; ?, c. eDetaU1 ]2 u R3 d* H2 v
%修正节点电压
8 j4 `2 G: M M+ i2 @8 p2 `# Pj=0;
' e1 c8 q: q3 D8 @; z8 }4 ufor i=1:n %对PQ节点处理
) F V; [* ~7 E' |6 b! T$ ?$ H! k if B2(i,6)==2
. X# `9 i" n) U7 w7 y7 c! q j=j+1;2 W' D( u) K! b; E& m+ J. S
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
$ S; ^4 A. P1 b3 m- Z1 P end4 i; @0 I7 i0 b# v5 G
end
9 a1 Z1 p$ \" Z9 s) {# ~for i=1:n %对PV节点的处理
8 \: u" C1 l6 W4 _) Q if B2(i,6)==3, z4 r/ a+ E x$ P: A, l
j=j+1;- ^ M k+ ^9 L5 s9 K
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
( T7 ^5 ?& w0 h a" u. Z end4 c) o9 H K+ r% ]+ Y" P, Q
end
4 J8 I% h8 [6 T3 \ r6 |' k* }; BB2) V1 m P; K& P2 T8 ~
%开始循环**********************************************************************
9 a: W" [2 ~' U1 y. j( Rwhile abs(max(DetaU))>pr& R$ b% h& k# u3 d# r9 u6 s
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1 M4 p* r9 q7 {, M2 k& ?
h=0;* S4 J A4 ]5 }/ I4 k
j=0;* `1 v' [: c: _- o! k
for i=1:n7 ?4 G- {9 u2 S- s
if i~=isb&B2(i,6)==2
1 L* M7 R( C7 G, k2 o2 L h=h+1;
0 n/ f0 y/ W# e- d) F- T) M for j=1:n
( W& K2 B0 b }% g0 P9 g 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)));5 k; m2 T6 S/ i6 B2 z* r
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)));) K6 A. l5 D4 K, R; o
end
! k( ~7 c5 B- g, I" Q end
* V0 g% y; ]6 r: a0 @end
1 P, O4 r l+ A" h4 w+ ifor i=1:n# v8 ^. p3 L" H6 T
if i~=isb&B2(i,6)==3
: B8 g5 l( f2 q h=h+1;
, y6 _, ^$ n7 R# [5 A- V for j=1:n
4 _/ ]( {" y) L1 C4 f1 U8 J1 c 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)));
& g ~# Y2 r \+ r+ J 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)));; a" T# V2 d# s9 d( q8 m: ?( h
end, d3 \& J, m, Z7 I4 T! r
end, d& w$ ]3 U; k3 N; ^
end6 S+ K7 l2 c1 x/ t0 X F% z3 V
OrgS% T8 V; L+ j* _8 g/ e0 W5 O3 b
%创建DetaS% I! j7 Z+ f, b, t* c( A0 S
h=0;4 |% G! ?4 n! ~. L
for i=1:n) L, l: r* O) D4 |1 W2 y! y. ?
if i~=isb&B2(i,6)==2
" ^, r& J: R- P& Y3 ~: _" w N h=h+1;
2 V3 w$ m C7 Y) s: K! M DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
) M3 N% x" b% `$ T DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);) j% Q# ^9 M; V; P8 h3 S' A
end
# ]' R& w3 ^1 p8 b; G S6 Tend9 J0 S+ t3 j# J* e
t=0;
2 V. O( y* v: X u' |for i=1:n
" }9 |2 _& F! B9 ?4 p4 X9 C6 Q6 I if i~=isb&B2(i,6)==3
7 x; {# Y, `) [$ j3 v h=h+1;( D8 g. b' \' y; e
t=t+1;$ ?4 B! F+ H7 e& [& _7 X" ?: m
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);2 i3 _6 O, ]% D# a, {
DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;
! p7 J# e; u0 E {. a end
4 B W7 B/ a! jend
1 i6 H0 s& {5 w( {% T9 v1 ZDetaS
% @+ o' c4 L! [% t/ _. r%创建I
3 }" Y% l' j2 Q8 w$ ii=zeros(n-1,1);
( ?: V% p, l2 B) X- g- }7 yh=0;
% I# p7 o0 r0 L- g- vfor i=1:n+ b1 v4 w( Q* c. A
if i~=isb+ {2 ~4 M8 W7 v
h=h+1;
4 w5 Q( B# \: v* \/ P* s. {; }4 Q0 Y5 D I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));
" w2 ?9 T; z$ v o end
& E2 Q. x) l4 }% y0 d. }end8 R: k& j5 U- D6 E" t) r$ z0 f/ ~! J
I8 K1 T9 E, R9 [8 q$ C' I# {) [
%创建Jacbi6 R6 n0 k, o3 C
Jacbi=zeros(2*n-2);0 N D3 m5 Y4 W/ P" \+ K
h=0;; B5 f# E# o+ q( D, g( i
k=0;6 m" e' @& N" @3 [, R0 O4 I1 ^
for i=1:n6 A/ r: T0 _; v
if B2(i,6)==2
6 D' \1 d& d5 s# ] h=h+1;' M; [# ]! T* \1 _: \ X
for j=1:n5 v4 {% B: f* r8 |5 _$ l
if j~=isb# M7 t4 {8 [. f' [; F
k=k+1;
( z8 H- o6 V- S6 ]4 m% `& o- D% ~ if i==j
! b3 N# q# b6 c. C" O 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));& S) J# k2 U* D* Y, M
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));
( J0 U7 |3 B6 X4 E. o Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));% x& [) U) \5 V2 t; g6 S
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));* i( @: K; ]0 ]
else
8 \; c6 t$ c1 M( c4 x% z Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
2 y# S7 S5 Y) |/ k Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));7 O! l7 Y7 n+ J- @. ?! Q
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);
! s- T4 s# F) Y- g" q Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);' }; e( u9 l6 a" A, x, o0 a# k
end
3 ^! |! P9 o7 O* [5 E( T1 X! C) [! t if k==(n-1)
) {0 a5 c, H9 N1 E9 t" P+ Q k=0;* W+ B" `0 k+ A n4 \9 Y
end) X9 X+ V5 U9 j' Z+ B8 S
end" q |/ ~& D" }
end) w* V+ K" M/ ]. P2 v
end1 l% R5 _( U; \7 s7 m
end
8 b# V! h: a! k }( n9 J( fk=0;
9 n' X- b8 i0 f& Z+ Y$ X$ Ifor i=1:n
) W" F/ k' p M/ [" }- n% e5 Z if B2(i,6)==3
: d2 D3 N' k# H. U h=h+1;
4 w1 r# A" B9 m% l% ?( [ for j=1:n
+ h N" l( |$ ] if j~=isb
0 j6 J% u" K& J" `8 K k=k+1;9 N/ u+ d2 i% S7 k2 ^. N: \! f" K# k
if i==j
# b6 C% |0 T* S9 x# k3 } 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));
0 Y9 S( G4 {; |$ I2 t 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));/ a1 e% Q) ?, d6 c! _; T- J1 W
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
W3 r' b6 j M0 Z( M5 [ Jacbi(2*h,2*k)=2*real(B2(i,3));- ?! |- J6 o/ h' z5 ~- i; z
else3 L; ^) T2 E1 [# q9 E+ C
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));/ D4 l& t& m! L; E
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
# R+ E- a r! ` Jacbi(2*h,2*k-1)=0;& E# c+ o' n% P8 t' v. G1 i0 {: H( D
Jacbi(2*h,2*k)=0;
T3 M) q$ ^. t4 B, o/ k- q end) M+ q% G4 p8 O
if k==(n-1)
: O2 }8 P2 t/ m3 W' {! E k=0;/ i4 K/ ]* E' N. v( d; q. Z
end
% T" b" t2 ~( z4 v6 C end: F) x) W3 Z |
end* P9 H. v, S2 i9 c! Y: u- f8 h
end
( z% [2 d: s" h6 Q$ Y( P1 mend$ s4 d& n6 f6 @& w) q6 l h
Jacbi& |9 i2 b" z1 n" p- g/ c
DetaU=zeros(2*n-2,1);6 \4 W; y& ^! F
DetaU=inv(Jacbi)*DetaS;7 B# ] S5 n* R8 M* Y& F
DetaU9 G3 ?& @- M8 H7 A: O8 S
%修正节点电压
; E( M7 G p8 l: Y' e- W# g8 |j=0;
/ P! |. I# v; |# r4 g" }3 x+ Tfor i=1:n* |; y( K) d8 y! i9 U. f' j( f, o# Y
if B2(i,6)==20 b0 d I- d a' i" }
j=j+1;3 _$ e. n: ?( j/ I$ }/ r
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1); o0 e! G4 ~) n( R) ~. B- v; @
end8 X' y2 L1 S- J1 B, @
end; z" \" G, F0 y! D: P: k
for i=1:n! R) p# a. z* _. t/ v8 G
if B2(i,6)==3
$ Y. D$ n" s" Z6 D* d) x j=j+1;5 g b# Z+ R8 t& B, b+ P! t
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
. W Q7 A- R" |& x end
# O; E7 @. R" K8 s9 Kend
0 V1 N j' W/ ~8 B/ n1 X4 oB2
, l. W" y) ~& ]Times=Times+1; %迭代次数加1
) _. p& L( X1 Dend
6 E) c6 E/ \( s+ P! WTimes
* A M/ ?" j! X: r/ e5 `
/ A9 S9 z9 O% f+ l一个原始数据的例子2 ~/ a: J2 `, T! l' h) U
节点数 5
- f) o% A1 d2 g支路数 5( @: Z# R1 f/ H u& L6 ^
平衡节点编号 5% f+ B. C. d0 u( x) _+ C5 c/ h& f, P+ [
精度pr 0.000001/ I6 b3 {: d' B- V
B1(支路参数矩阵)# b" w: P- A1 K8 e6 F
[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]
" y' C, @9 V k9 tB2(节点参数矩阵)
, C( s3 i" Y, \& E' n* 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]1 d" r1 P' O6 u! F( e4 |; D4 s
X(节点号和对地参数)9 f j4 u8 n3 @/ m! q/ O
[1 0;2 0;3 0;4 0;5 0] |
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