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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
+ F6 \: ?& n* u基于MATLAB的电力系统潮流计算$ V/ U& s0 t3 ^7 H; p8 X$ }
p! i6 O( W! ]" b) Z%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:
$ q& @. A- x. G7 {%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0 S ^; x( n6 d8 k V2 N" P. f' m
%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* W6 E9 L) L1 \" q7 B
%编号,将变压器的串联阻抗置于低压侧处理。
( D0 a( `, T- `0 R# ?9 q%第三列为支路的串列阻抗参数。' [3 n, o' i. {# d! J* x7 _, ]7 ?6 f
%第四列为支路的对地导纳参数。
; V; { t y2 I$ H%第五烈为含变压器支路的变压器的变比
$ a, [, a' P" 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,
+ X" G' d+ Q8 A9 v) G: q%“0”为不含有变压器。
5 S+ d& u6 {- G) V- c# ?( p# \%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
9 v" ]6 \# t/ {1 @+ A3 `%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: b: h/ p2 u* C0 c$ Q$ R* B
%“1”为平衡节点,“2”为PQ节点,“3”为PV节点参数。6 U4 {$ ^6 A t$ `% J# s
# e; s7 x" w- i+ J4 `7 E
%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. B9 T) s: d/ Y
%参数。
+ t( i0 r. W9 k$ p0 x8 _n=input('请输入节点数:n=');6 k+ a4 ~4 x% @; Q) O
n1=input('请输入支路数:n1=');0 B0 X( @! O$ P; n7 h
isb=input('请输入平衡节点号:isb=');8 Z+ u+ U4 e# W: M3 O3 n
pr=input('请输入误差精度:pr=');
5 X& B# ~+ e: u2 F( ?B1=input('请输入支路参数:B1=');
" S3 i& P6 a* wB2=input('请输入节点参数:B2=');
0 z* _1 M! Y8 \7 j9 E8 O( x* _& hX=input('节点号和对地参数:X=');
7 @3 q6 m, g, `! c, y6 WY=zeros(n);/ w/ C- c- X% D, ]* Y- o/ I# O
Times=1; %置迭代次数为初始值
1 a2 ]9 k5 d; L0 w%创建节点导纳矩阵
1 L: r( B* E+ S1 Q& U$ f. o! wfor i=1:n1
" Q2 V- P/ r: o& }/ S) f' K if B1(i,6)==0 %不含变压器的支路
7 Z% G: Y4 j9 P( ~' j, t; C p=B1(i,1);
; o0 D7 ?1 C: x1 l0 e( T q=B1(i,2);; | y. |& w& |) K$ E
Y(p,q)=Y(p,q)-1/B1(i,3);3 m4 X% g f" [( I5 C+ V+ n
Y(q,p)=Y(p,q);& }) Z+ c' z( ?' }2 i
Y(p,p)=Y(p,p)+1/B1(i,3)+0.5*B1(i,4);5 O1 T: ?% ]' G' W
Y(q,q)=Y(q,q)+1/B1(i,3)+0.5*B1(i,4);) P# t3 i- c% d4 L/ u7 r3 U
else %含有变压器的支路. ^; w. A2 W& Q" V
p=B1(i,1);
5 I/ H, Z n2 U- Z1 p q=B1(i,2);+ s- D N0 G2 s/ b2 ~3 d# [
Y(p,q)=Y(p,q)-1/(B1(i,3)*B1(i,5));
9 H3 M5 l5 i( {1 w/ ?( y5 p, w Y(q,p)=Y(p,q);
, \; W" ~, W4 E: U2 |. Z6 N Y(p,p)=Y(p,p)+1/B1(i,3);# s/ c; t4 r+ e( X/ Q+ t4 d" j
Y(q,q)=Y(q,q)+1/(B1(i,5)^2*B1(i,3));8 A; l( U0 M( [7 C! ^7 \( P+ @& f0 Y
end/ C8 ^4 {6 q0 e6 Y& {
end
/ `; T% y. p3 kY
( ^; P- k) i( }/ j3 }OrgS=zeros(2*n-2,1); \, r# V `/ h. h& H
DetaS=zeros(2*n-2,1); %将OrgS、DetaS初始化, m+ @2 Z) r* {8 J4 v, M# l( {
%创建OrgS,用于存储初始功率参数
0 ^& U7 b4 s8 A; w' b, F, Dh=0;3 Q0 T) Q/ _$ H! _; a
j=0;
8 v7 C- V2 H/ ^for i=1:n %对PQ节点的处理
6 a/ H6 s: q& Q m! J if i~=isb&B2(i,6)==2
$ Q$ |% g- j. d; ]5 s) z' S h=h+1;
3 f @" I9 `# Z2 i% t/ _9 t; x0 f1 b for j=1:n
, m7 k0 [7 [' M 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)));
( q7 b: G9 ~9 F b 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)));7 M$ S( A) g3 ~$ G+ @; a: L
end2 L$ H# p/ |% ?8 Z* o
end& H" Z7 t: g4 J6 ]7 k4 w7 R Y+ r
end; G: p$ j- m: z$ z, M: t# h8 Q
for i=1:n %对PV节点的处理,注意这时不可再将h初始化为00 B5 W4 o0 o+ A! P: }! A
if i~=isb&B2(i,6)==3
) t, y& Y4 h5 a2 t0 W5 n) z: n; \5 l h=h+1;
" A) g$ k% ?: B for j=1:n8 b" ^5 g. S0 ~; X1 |1 |: 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)));7 M) w/ E4 S7 _& ~# ?+ a2 F% 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)));
; A0 S8 F5 b; U% ^" U1 _+ { end1 z1 D3 A' `# X
end/ L7 }# z* B. ` o/ \/ n
end
6 J' l3 x. c2 q" dOrgS
% c& v3 X) i) x%创建PVU 用于存储PV节点的初始电压
4 Q1 F, L9 l8 z, pPVU=zeros(n-h-1,1);
9 b5 U2 \, a% j/ Y/ z7 g% y: r' At=0;1 a2 l: H$ Z+ k# U# s W" m& j5 X
for i=1:n
6 ^$ E" p( J' c# O4 Y4 X+ x3 p if B2(i,6)==3
5 t$ p; v7 h$ K/ l$ o t=t+1;9 F9 x6 D% d' a+ N* S8 O- x
PVU(t,1)=B2(i,3);% \' p% y. @; Q* c
end
! @/ q+ F) H& ]" J8 o$ bend$ h3 f8 p! T4 i- n9 |' y" E
PVU
1 g! ]+ s+ h; o) T6 _%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. S5 w- D0 b& y" H
h=0;
' h/ d: w. q) r$ m* sfor i=1:n %对PQ节点的处理
: m z- C+ e0 {2 ]) Q/ m3 G if i~=isb&B2(i,6)==2
, U0 |' k; L5 E# M2 [4 \ h=h+1;
4 A. a" h: ~% ~' Y6 Z6 U# A! y DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
7 C5 Q& W* S9 _- U" E DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);
& ]. H, Q; @0 q! t end
% n- X6 J! O5 } \% yend, S' t* Z$ b0 y6 j* L
t=0;! o1 g8 W0 H7 M' [% [
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
- D; p3 Q# n6 H) u! u7 A if i~=isb&B2(i,6)==3% o: w4 m' Q" H& H" h7 X7 T
h=h+1;
; X* i, Q: l/ Y4 j, A4 N; j( E t=t+1; y, z* P1 w# |+ i
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);/ u" ]3 C, c; Y. @" ?! O& @
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 H9 z' Y* W# i* i& H# i
end( {5 e! D# U1 L5 V6 m
end
, t w; m* v* O- d, r* VDetaS
6 f; I4 M6 R/ O6 y%创建I,用于存储节点电流参数
5 }" z, X; O1 li=zeros(n-1,1);* B) r4 {1 N; Y( M! @/ d. Z4 }
h=0;
& l$ k( a/ b: Gfor i=1:n3 M$ d8 O' t. W2 L2 `" F! J
if i~=isb
3 w% J5 A8 V: P8 A- |: _ h=h+1;
+ y$ U$ `- q& n6 G+ D5 _8 l I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));2 P" p2 l( ?) P6 f
end
* \; J6 k2 p+ `& pend
9 C1 }" o" r7 U/ O8 fI
+ F" U! R9 M1 }%创建Jacbi(雅可比矩阵)4 L6 q6 I; a3 }. p% v# I
Jacbi=zeros(2*n-2);
; _3 j6 Q; ]0 L) `h=0;
% Z# Q7 A8 o8 F! f7 v4 V' D' L1 {k=0;: u( w8 ?. k- L9 q
for i=1:n %对PQ节点的处理
( K M. Z4 L" c" L* V: W if B2(i,6)==2
$ H6 {0 ^1 @* I' _7 ~; w# @; _ h=h+1;$ ~! x9 t" s2 n, h6 z0 w
for j=1:n
3 G' g( V$ J# i9 j7 @ if j~=isb
) Y) x8 d! w' y; S& ~ k=k+1;# c0 f& G2 q; T; e% J
if i==j %对角元素的处理4 e; I6 d- X+ N. c! q3 K
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));+ c- [8 C7 w5 z2 f7 `
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));
* n4 }1 f6 o, [# t. D7 @! _ Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));) p: N0 \3 O# ~. V1 g1 E7 l, {
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));
9 |! k, H* I8 {5 l+ P, T. i' \ else %非对角元素的处理
% _1 O& m9 i; s( A Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));/ c: Z g" @; a' z6 d& k0 i1 [' w7 U
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3)); R) c3 w) M F) G/ d
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);1 [4 ?& I) B: E3 R; K4 ~0 w
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);6 m' B/ U0 L3 u( [9 C
end7 Q8 K! M% {. Q" p8 x7 }! X2 I" d
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
- Y" j7 p5 W. G! ^. X5 s/ f k=0;
" ~- H* h8 o0 i" ?$ P: M+ o& s end+ D' Z6 z/ G/ I" o8 \- r
end
3 h5 i2 O% ~- ]9 F2 x! U$ C end- q0 ]0 Y; j) x& x9 R1 \2 m e6 w4 v
end# B; K7 x5 Y1 Y* i+ K
end" {3 S3 |, I- ]9 P& j! j
k=0;& x' d+ U* Z7 A; h
for i=1:n %对PV节点的处理
$ y; r0 \7 `- b$ m if B2(i,6)==3
" s" k/ n' @% Z: Q7 q( m) e4 w h=h+1;
. n. _ B4 w* I4 y I, r for j=1:n
" v' ?( O$ p% @0 k! K) i9 _ if j~=isb
& ~+ f" u2 j' U# D k=k+1;# @) X' D; q! m% B; g
if i==j %对角元素的处理
0 ~6 _2 f* [7 x% c( z" S 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));
& m, m6 G1 k0 D& G4 i2 _ 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));& L5 A5 }4 [: c" t! O* }
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
; p. N7 k' s$ O: x Jacbi(2*h,2*k)=2*real(B2(i,3));# L' ~2 `$ d. n1 q, e/ K! E
else %非对角元素的处理4 j6 r& I2 \; ?7 H _
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
$ `; H w# |) u8 }- F Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
8 Z! I8 ]3 [- @8 @- y) O Jacbi(2*h,2*k-1)=0;
- q; e" Q3 s3 ~/ ~: z, L9 S; v Jacbi(2*h,2*k)=0;
0 P9 b- H' |; {- d' U$ V end
7 q4 ~& c$ C0 N 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& A' _5 ]6 D' y6 b
k=0;6 \8 p& f t( p! W
end
% ?" |; w5 _2 L: f end
7 C+ n; l. @: s1 T end8 Q5 r- w7 e6 `4 z% F% E
end+ _7 `" n$ h: s
end
_1 O5 R/ }9 w7 X8 ~' GJacbi& A% Q0 ~+ E0 R f% }# z
%求解修正方程,获取节点电压的不平衡量/ k7 \0 n2 l7 x
DetaU=zeros(2*n-2,1);
2 y- Q5 j) W5 bDetaU=inv(Jacbi)*DetaS;% e6 S5 \4 |4 E
DetaU
5 h) j* k3 `1 h% ^+ P5 I! ?9 H: N%修正节点电压+ ~3 L; p6 ^# H
j=0;( i3 j- m! \7 I$ y5 i" B3 x" v. I
for i=1:n %对PQ节点处理
$ H3 a% P# R9 {; ? if B2(i,6)==2) r7 \/ K. k! x
j=j+1;) [/ C6 x% r7 b7 G+ L
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);4 Q; v7 j# O+ @% P3 X
end
6 r/ p/ y" a: v: c/ i: w- Aend, s1 n$ g/ K, y8 C% N
for i=1:n %对PV节点的处理
: [; w$ n' I/ k6 |7 q6 j: e if B2(i,6)==3
0 W; \* b0 P5 H+ i9 T: L" f& ^9 k' b1 a j=j+1;
1 F+ \6 q; }5 T8 d: } B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);5 q; V& ~) [+ v( p0 Q
end; V! Y. |+ b. w1 e; s
end( s7 i" ^* S, S9 _* c) g
B2
0 s* X2 P8 W) m! |%开始循环**********************************************************************
5 W5 }% i3 T* P& S1 Hwhile abs(max(DetaU))>pr5 y5 D& s# X: w' g& f
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 D) n# M' i9 |9 B0 }9 i; mh=0;/ O- Q" H+ `$ b) h( D
j=0;2 o' V+ _4 N, `5 B8 a: X
for i=1:n
1 U; l+ H: g" p/ }/ G. S# Y if i~=isb&B2(i,6)==28 P( w( ^; j9 _' }0 S! _8 H
h=h+1;
+ ~( ?) `. i8 z/ D0 c; V- ` for j=1:n- G5 }& q( w: u8 B1 r& 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)));
1 N" i5 C& f, N4 v! Q; G, J8 c 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))); r6 K7 _& J B E5 O
end# \/ C* ~& d! N( E' A% s& p5 D- Z/ }
end
8 U( q. A0 s) z2 Fend
2 M% Y- g# K* M! Sfor i=1:n3 j9 X; h0 ^0 I2 f5 C7 |+ I
if i~=isb&B2(i,6)==38 b9 F' v. H% V/ h' D' O- q
h=h+1;
. ^% A4 @+ G; x# _" X8 ] for j=1:n
2 O! m6 _- D! `# F N 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' s9 q ~/ b# h q- t6 D$ 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))); ?9 S1 ` J& B3 D
end* i% o2 C/ y' ~1 A- s
end
: w/ t* \# X5 ^. {4 c& cend
: n; b( X" P8 M: K/ H. NOrgS
* G/ f( Z' v: W4 h N3 z%创建DetaS
! C% R- N$ k- Uh=0;
# y9 j! J* j gfor i=1:n( K9 b+ K5 S( z4 B* }- p$ ?" B. @/ B! V
if i~=isb&B2(i,6)==2+ e$ B0 t/ Z, F: x3 @: e; Y
h=h+1;
: d8 D3 `2 w' }+ o DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);: j4 _7 s. {; r }' s
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);: n e) h2 k2 k: n8 X$ T
end/ ?- ]. s' x0 S5 `
end( K4 Y. w3 l4 I9 t+ p8 q6 O$ A; J
t=0;- p- Z5 O0 V( S5 u5 x" i
for i=1:n
& g& w4 O$ F' Z z if i~=isb&B2(i,6)==3, K9 Y6 ^7 M8 ]% X: U8 y- g# S4 C
h=h+1;1 I& G4 U" J- I: M4 t7 k& |' v
t=t+1;; v3 u; a/ H. g9 P9 D+ B! O( E
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
- E. s9 M. |. X- ~& c DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;$ J4 Z) x( w1 |3 f" {) w+ w
end' X1 q/ u: W- o4 o. N
end
& Q' y; }* B$ {7 d- g8 ]& f" vDetaS! Z- H4 G/ o! Z
%创建I! W R0 \1 s- ?0 x- H# Y% L D, \
i=zeros(n-1,1);/ S n$ v C* ?
h=0;
; E' e4 W' R2 mfor i=1:n
" Z. W `1 [8 d9 o% }: r3 Y8 U if i~=isb
3 z" a3 @# L9 n h=h+1;
4 B# ]8 F6 b* U) q* ^1 y+ j I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));
7 ]1 X2 _4 Q% k6 O! V. [3 c end
+ _. k. _/ x; rend
; z; }, ]4 C. A9 T% `I
4 X: r7 c! A- }$ m( p3 ^! a%创建Jacbi8 E* H9 x$ n5 {: ^7 i L" F: g
Jacbi=zeros(2*n-2);
# j; h4 F* k2 Qh=0;" F* e% X+ n( `2 B
k=0;/ Y* Q1 Q `& @2 m7 E( H6 k
for i=1:n5 [/ N# q9 }. r& o
if B2(i,6)==2
, D* k) W3 d- U7 k h=h+1;
! c/ Z- V# P0 y9 P for j=1:n
/ d# B- q. N: } ^4 F5 m! p9 }2 L if j~=isb9 v* e9 q9 O0 y3 Y& m
k=k+1;' o. u7 N3 o3 u4 O4 H# a
if i==j
# M. I2 R; |/ O0 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));
1 z4 h$ d# N/ X2 O, m- t: g) 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));8 E9 p* v Y: s" ]1 Q$ S
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));3 q7 E; Q% x6 R' p
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));
& O; x! ]$ p+ _ else
4 Y6 X" ~" q! V, b" ?. z9 S5 ~# o Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
+ r5 k9 \! q& L" ~) c7 l( i Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));- d9 Z Q/ S* Z
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);! C6 ^$ H$ k/ u Q7 c( A: Q
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);
, v, a9 m; B1 C k8 T& ^ end/ v- T3 ^. [' s# ^" { r
if k==(n-1)7 l8 p7 l: m7 [+ j; r& H
k=0;1 W7 v- }$ V6 E3 p4 K# S
end
8 s& q1 x5 I& }' b: y end8 k; J- c# y) p( s' P6 L2 f
end
$ [; F" H* R; E0 t$ a. Q end' ^3 p$ _3 J5 k0 l
end
) _5 J* ?' j8 N: vk=0;6 ]2 }% H& L1 S
for i=1:n
% Y( }* r0 N( x% s. Q if B2(i,6)==3
' h/ Q) A# D+ x+ l3 a5 V& D# l h=h+1;2 q5 y% w9 |+ d
for j=1:n
3 \0 Y; C: L9 l if j~=isb
7 S; S9 D& @- ~: c! _; j k=k+1;% ?8 e7 O5 g$ T2 w
if i==j
3 E4 k% o( h9 d9 ?" Z2 \ 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));1 \4 ^6 Y6 L- D& h
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));
! {- V9 k4 k. K u7 Z Jacbi(2*h,2*k-1)=2*imag(B2(i,3));3 Y$ i4 Y8 s x% X- X" M5 q/ W7 ?4 r4 A
Jacbi(2*h,2*k)=2*real(B2(i,3));! l# [5 Q9 p2 E0 a( P* U4 x
else0 |, h, U$ q) w* ?+ A9 L- Q
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3)); x# j# g# J* U& e( C% Z/ u% |
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
$ Z m' m! ^* Z+ ~. l" L Jacbi(2*h,2*k-1)=0;
, n* x- F3 k8 S8 s' |: |, S8 {; T Jacbi(2*h,2*k)=0;5 P2 a8 P7 }' j9 U% L
end
9 V( F+ d1 r5 @2 z& N if k==(n-1)) N0 r1 N. l/ B
k=0;. _, O! K* Q) a- A+ V4 _
end& j, ?' Z" b- }
end
$ a8 e& h' c6 E! j6 K end
! {; `* A V% K! N' {/ O end4 N+ v `' c% R$ }8 `) |
end( y; [7 Y. D0 }' E0 J' o* t
Jacbi+ \2 i/ }( _0 F8 y; e2 e
DetaU=zeros(2*n-2,1);& p, J) L r. w- h6 Z2 ]
DetaU=inv(Jacbi)*DetaS;6 C; x2 Y6 ^/ e
DetaU# Z, A/ M; k7 Q2 I: ]" s
%修正节点电压* H" t& k$ N- c9 r
j=0;
2 C4 w7 G* z, K5 x& M$ b; q; Zfor i=1:n
1 s- j+ @5 }* y3 ~1 ]& z, d if B2(i,6)==2; n- U* A( ~ p
j=j+1;
" Q" `7 ~9 i& n6 L( P+ u- Y B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
( k; }( M. j6 J end
4 ]% f# [) c: Y' o3 K% ]- ^( ?* ~end
; g: [9 }: \+ p' z$ t: zfor i=1:n Y6 A% L- g) ^# t9 R
if B2(i,6)==38 o! h& E7 I5 \( X5 k+ O& i0 N; C& q9 Z
j=j+1;+ `- q3 U& Q& c) v- }! `' m
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);; T8 A6 |& |. @% B
end+ \! w+ `; \" O" i7 U) i% I
end
% H3 {1 q% o. ^+ q+ H, jB2
- J! X& L; Y8 X5 v: l! j% _Times=Times+1; %迭代次数加12 o& @# \" S( }2 C. Q
end5 \/ A- B4 F2 C; ~
Times; k b/ Q/ N& w* {/ ^
7 G$ U# N% G( Y5 l* ^! P# y# ?一个原始数据的例子1 r* j3 q- q. }+ o' c
节点数 5
1 c, ^. E0 G2 D! c5 _$ ?/ |/ E支路数 5- x' ]0 ~# n; P/ I, g% y# B2 z
平衡节点编号 5- X7 J$ k* _/ f
精度pr 0.0000013 \1 V* N4 P+ F) T( _. ]
B1(支路参数矩阵)
6 B. p4 @3 V& X0 Q8 ?6 h[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]
: ^5 M M: F: t4 Z% Y# qB2(节点参数矩阵)
, a6 ] @% r6 @! Q& D* _[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]
! r$ S9 F$ }4 D1 d( g+ y3 }& |X(节点号和对地参数)' i9 w) p9 b$ U9 }
[1 0;2 0;3 0;4 0;5 0] |