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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. l4 [" t. l- V# r$ ^! r
基于MATLAB的电力系统潮流计算2 C v" Y9 W" M( l: T+ L& h
* |7 X4 {" B& |8 @* b) w% |0 ?- h
%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:1 v& Q) ^3 m0 V5 C2 e
%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
. S$ ~6 R- g3 I& w6 e%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
7 y9 C6 A6 z: d w4 o. q%编号,将变压器的串联阻抗置于低压侧处理。/ P' G5 P) r+ J/ S1 |
%第三列为支路的串列阻抗参数。
" i' {3 ~+ D3 [/ [5 y3 A%第四列为支路的对地导纳参数。
0 Q* E! |) L& {& j- f%第五烈为含变压器支路的变压器的变比, y" I8 ^& o$ S" d7 x' h3 o
%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,
7 z v c3 J$ @%“0”为不含有变压器。* M& V. r b! { n
%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 v9 {$ Z! ?: n+ t/ t+ C* X
%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
' N. Y' B; W$ O" c: S6 K%“1”为平衡节点,“2”为PQ节点,“3”为PV节点参数。; U. @- E, H. M5 n7 Q
8 w! I$ D. I2 P, a5 P3 g
%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- K* g" T0 X. }2 u- T
%参数。. O0 I" p( V# f! f- A
n=input('请输入节点数:n=');
. M/ L% l3 [' y2 T. Sn1=input('请输入支路数:n1=');
. o5 A) I. ]! w9 O1 s* [3 sisb=input('请输入平衡节点号:isb=');' |$ `5 a( M0 Y5 c
pr=input('请输入误差精度:pr=');; d3 d. H; A& ?4 r
B1=input('请输入支路参数:B1=');; X+ N% O7 i/ G, m7 \- n
B2=input('请输入节点参数:B2=');
# A5 e' [: Q' K- S" R+ wX=input('节点号和对地参数:X=');) d0 @8 ?4 \$ Y* K7 I2 \+ W2 ]; e
Y=zeros(n);
# h% j; f Y6 |; z1 w+ rTimes=1; %置迭代次数为初始值; o' i% j) f8 h- t& _5 j
%创建节点导纳矩阵7 S: t7 S3 f- t$ X& u8 R) T
for i=1:n1
1 m7 [; P8 z: x4 | if B1(i,6)==0 %不含变压器的支路
( ?7 C! Y7 q1 S+ r& K4 e$ n7 Z! W+ E7 R p=B1(i,1);
( R5 w6 ~. n4 \7 L( b q=B1(i,2);
( {& e, }& e6 D$ y6 h/ r8 @6 h, l Y(p,q)=Y(p,q)-1/B1(i,3);+ J6 `: }: U8 m; F2 t' h0 |) l
Y(q,p)=Y(p,q);
, J+ _! A/ R+ Y- s0 Y) B Y(p,p)=Y(p,p)+1/B1(i,3)+0.5*B1(i,4);# m- U2 i o# Q* h( J1 T
Y(q,q)=Y(q,q)+1/B1(i,3)+0.5*B1(i,4);) R9 D9 @1 f$ i5 u
else %含有变压器的支路
^7 d5 W9 x8 z6 f/ {7 R8 {( c% v p=B1(i,1);
: e8 |9 j3 ]9 r8 V8 m1 o q=B1(i,2); q* @3 x8 `8 W* m
Y(p,q)=Y(p,q)-1/(B1(i,3)*B1(i,5));
4 X* |5 j. D( s. [* X& E" M Y(q,p)=Y(p,q);
4 S9 E' _/ ~3 E# p Y(p,p)=Y(p,p)+1/B1(i,3);
4 G- f! F( @, g, ~- d7 A8 M2 n Y(q,q)=Y(q,q)+1/(B1(i,5)^2*B1(i,3));. q7 i7 R; w% p! U/ o3 p0 O$ p
end
8 P$ z' o$ |/ B$ Q( ?4 O3 @; |end
* j; h1 o: `& q, D% YY% @. u: c! @3 o: @; Y
OrgS=zeros(2*n-2,1);
0 u. d& T* `$ [6 kDetaS=zeros(2*n-2,1); %将OrgS、DetaS初始化
4 }" d' }: {/ x% _2 N8 w%创建OrgS,用于存储初始功率参数$ w' [: z8 y- T6 F
h=0;9 N, @7 Y% D/ L* J" \& O
j=0;! N- m$ r& G" N2 m0 B# K. l
for i=1:n %对PQ节点的处理
* e9 D/ u6 `' H1 U1 X0 q0 R4 z, j if i~=isb&B2(i,6)==2
0 L3 Z: o2 u, l( m. a7 K h=h+1;
6 A- _: A S8 M. J8 J0 I for j=1:n" L3 e+ l; |% F: E; 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)));
. x/ m$ t2 D4 W$ x9 h 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 O- l( B2 V) B8 \3 x0 f
end* r' w9 M$ ?7 }- W3 v
end
; X4 B- v* `, F# ^! Uend
' _ k5 q' p$ n- J' P1 ^- S; vfor 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 Y1 u6 g! \+ G G if i~=isb&B2(i,6)==3
. Q. s# @3 J3 _" B h=h+1;4 k5 l3 A7 q$ J( H2 T
for j=1:n
4 K" @2 }8 J& d% 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)));
2 R/ K6 B- B" o7 `; u1 G 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 M2 O% f7 c- [, f' | end
1 [& r m5 O0 N end$ A" B& ~# p; n
end
: K2 i8 F" e9 {! h, O/ r) T, E+ mOrgS/ @$ ~/ L0 Q$ x6 H, g0 u9 P
%创建PVU 用于存储PV节点的初始电压$ r: V. m! _4 C7 w5 g" M7 L
PVU=zeros(n-h-1,1);
+ i0 G" O) J( e) Q0 u6 A' `t=0;0 j$ }8 L/ X r. ~
for i=1:n
, q* r! G+ }/ }3 Z3 c# ~ if B2(i,6)==3
% C0 M8 |0 F Z5 m, R t=t+1;3 ^; O6 A2 I1 A) `/ i. ~; Y/ ~( X; _
PVU(t,1)=B2(i,3);+ ]6 d7 b( j5 r% u
end
) }. K0 H1 S" q6 f1 z" F& |end7 i- c+ U+ l$ u6 u5 e: p
PVU; J" T& Q: z2 |2 c+ P9 E
%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
" O' X# J% {, L- Q y1 {h=0;
: S; N! E0 F6 ofor i=1:n %对PQ节点的处理; D! Q4 [. A: @8 @0 }; q
if i~=isb&B2(i,6)==2& n5 A u% [: I' I. F: z1 X# m
h=h+1;
4 n" m+ ]0 o7 C& a DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);/ g- I+ M2 T1 q. Y* g! D6 v7 h
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);; d7 }( v/ j2 |) z. X u& f
end5 o3 _6 b3 O) w
end% N; g: R. V- }" ]5 [0 ]
t=0;
6 v: `* p6 y/ @+ v3 h% u/ xfor i=1:n %对PV节点的处理,注意这时不可再将h初始化为0
7 U* b: P+ f7 @' Z4 V) q) ^ if i~=isb&B2(i,6)==3- U x& z, E# D9 P4 u. g" s; \
h=h+1;: x$ D) }( m1 m& a
t=t+1;
- _9 s b3 d' q1 ?5 V) M% w DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);2 m" k) T: z, s# H- Z; S
DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;* z/ K: U* L. I& c; ~7 v
end
" `6 I i: l# J; E, @ ^# dend
& l. d2 ~, Q* g7 L7 m$ rDetaS; C0 F% A1 y+ B) x! V+ p0 j
%创建I,用于存储节点电流参数
+ q ?$ K) ?3 R' f ?2 ji=zeros(n-1,1);
* b# a- i, o8 s( ?h=0;) M5 V$ D+ F9 S5 ~4 Y
for i=1:n
9 v$ I7 U- S( V1 ]3 V6 Z+ i* { if i~=isb: c' F$ e N: G; Q2 W. ]+ L
h=h+1;: a! ]5 b1 z/ p0 ]& ]0 T* S
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));" U M7 U/ w! n% \* g: M
end
: w4 G7 T8 {/ m0 \end* d8 y' N4 |1 C9 n; @ @
I
, B1 S& g- ^8 A4 E8 O6 H%创建Jacbi(雅可比矩阵)/ y, a( f1 ^: v3 p8 J0 t. }: Z
Jacbi=zeros(2*n-2);
. n' c! d2 c2 |0 F: fh=0;
$ a% x* \2 D1 ]4 m; x9 v8 Ik=0;
0 ]! z9 {! p: f& ?for i=1:n %对PQ节点的处理
4 N; M/ s; d3 T+ h6 s6 W6 M if B2(i,6)==2
- u5 {1 @. w7 m1 C+ [$ G$ i h=h+1;
2 d- O% o3 Z7 C) o for j=1:n
% P5 W/ Z: t) ^: x x if j~=isb& J' l) i) v# n8 e! C3 i
k=k+1;
3 E( m6 \, p2 y) V if i==j %对角元素的处理
1 Y) t$ n4 |. |& L 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));
* y- Z4 ?* u% f* 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));2 u3 M8 m, E5 B6 P& e$ B' D# O
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));4 u' B* l) b3 V$ n
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));. n% h. W- [: o3 G
else %非对角元素的处理
+ V% V {, d, N- v0 W/ w Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
; r! T7 E* J( ^0 D! X' w Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));1 O8 v2 M( ?0 t# ]- B
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);
0 U% i3 S/ }+ N C! L# r Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);" s5 E3 \* Q, P4 \' M7 S' M( ~ B; H
end
. _% B% G" `! P6 U 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* m; l, B$ r3 W7 P4 U) X% _+ E: Z2 [+ n
k=0;
$ f# n$ D* R8 @+ ]* \( \ end" \3 w( i( }# g+ H
end' ]2 Z. z- I! e( {+ W d y
end$ v5 _8 f/ b( d. K. i% @0 n0 H
end
8 s. b+ f% D) `+ G" gend8 T. |7 _; K0 M6 G l: E8 y+ D. [( b2 U
k=0;
/ U& b" h9 L, O" Qfor i=1:n %对PV节点的处理
8 P! T5 \( Y' n- W5 B if B2(i,6)==3( S; U, j H/ y4 Q" e8 h8 i
h=h+1;
6 t& g. d. l5 s3 B2 F" b for j=1:n
; V9 q7 H+ j4 Z9 U7 j" W. e if j~=isb
P( c! _4 V! [ k=k+1;6 Z; F: W' j; n6 S$ ?( t M" b
if i==j %对角元素的处理8 Q4 }, g6 s, D8 q9 C
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));
' Q! C+ B/ d8 f" z& f' 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));* ^) H# s' l$ Y% y6 \: T7 I
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
! d8 X$ o" D$ `3 h2 l* _ Jacbi(2*h,2*k)=2*real(B2(i,3));' B& E2 P% v+ m! x
else %非对角元素的处理
+ f6 \; ~9 Y4 x Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));9 h* n( H- v$ F6 |/ u# a
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
$ O9 K) f1 _- p4 z8 l* y1 V Jacbi(2*h,2*k-1)=0;$ |5 `2 C! p2 }3 L
Jacbi(2*h,2*k)=0;/ x; \! }, {- r' t6 `% c2 d
end) U R* e4 H' q Z% ^4 O
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 M2 b) I: o. e2 {+ ?. P' C
k=0;+ ]4 d Y7 Z, J& w) l; ]* H
end
, ^( @$ K, ]6 H end
( U! c1 w/ \0 N8 o' ~$ m end
0 r% D$ I" d. b5 G' r end( V/ N; K2 L% e% a6 R& P2 N
end* c% d' v1 t7 J# g3 o
Jacbi
" s$ p4 X j) V# q* M%求解修正方程,获取节点电压的不平衡量8 d8 x& W! V" j% D: J9 J `' n
DetaU=zeros(2*n-2,1);
1 M, [5 q( P; N1 EDetaU=inv(Jacbi)*DetaS;
- D# U( g% |- MDetaU+ G4 q' h# C9 s; b! q. w W6 `
%修正节点电压
- Y6 _% M" V1 M% x6 m( rj=0;
( l0 s6 D# P3 R; s) Hfor i=1:n %对PQ节点处理
3 g$ L# _, l- S6 ^3 F9 m if B2(i,6)==21 d6 d$ g' E, r" U" ^
j=j+1;
8 s+ q- T% {( Q# c B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);' L/ O7 j' r; H+ P% h+ R
end
2 k+ m4 p# ^% K. Z( uend7 @" T* b9 t W
for i=1:n %对PV节点的处理
% ^9 O, f* m8 { C if B2(i,6)==3
. [9 i# z( E5 d1 T9 E& }: p j=j+1;" F! v$ }, T- V3 Q
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
" [9 c6 n4 A2 \& S: ^4 E" ?; T( J" t end
9 H6 |' D- W7 ~end
4 ~ Y1 D1 A" `1 ~6 OB2
{0 f& F( O- O( ?$ }) s4 a2 c%开始循环**********************************************************************# C! F+ G1 N n! y- d
while abs(max(DetaU))>pr
! u5 V( o# `5 s& kOrgS=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/ P/ {2 s- |% e6 c* g
h=0;
2 f/ F# X0 k. p( z1 sj=0;' u+ A) d1 U8 a7 B8 E
for i=1:n
2 ?" U6 v: u; d, f$ Y$ K& a5 p if i~=isb&B2(i,6)==2 F: f0 I3 u, R+ ~" g5 l' _' i
h=h+1;
3 g- B+ j2 B, Z) c& V$ d for j=1:n
! o& i/ l3 g. l5 H9 w( C. 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)));3 L2 P( G- n# N4 s, [/ n( 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)));
6 ?! F8 q$ y, g9 d$ y end
1 W& Y$ j7 F* q) k2 H end
; d) M. @3 n Vend+ J U+ J" w1 {8 H% Y+ q
for i=1:n2 W7 |# h9 f. H! I
if i~=isb&B2(i,6)==3 B% j. I/ i& H; r
h=h+1;
: u( t. S8 H9 t T for j=1:n
: v+ _$ O! W6 c- V4 C7 q8 Z2 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)));" Y9 ] M, Q. Q5 ]
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)));) X& j: y! {: }: a* F5 `
end
3 b2 j Q' P7 L/ h7 c; S1 q! U, P2 w end
1 f0 d1 o$ D- N" J, cend
) E0 `8 @! D7 e, k: g# V6 o9 X4 r" xOrgS
1 y& c( G% L: E%创建DetaS2 J6 \0 L* C1 D# J
h=0;2 M; I$ |0 A$ t% M+ W8 }# B5 x
for i=1:n
: h# h8 ?- x9 h, W; n6 ?5 u3 } if i~=isb&B2(i,6)==2
+ o" R; L$ R3 b7 c. a; `0 D. ~ h=h+1;
+ h" @! z7 v- R; P3 t DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);, M" B/ H1 B+ r; q. s
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);
% N7 N, T. M' J; X end
3 j+ K7 Y5 @; n" Jend; T9 j: w p# l# e& G5 `1 V
t=0;9 i/ Z1 z0 k5 j0 ]4 o7 q- h7 a
for i=1:n
M- \/ A! @' m2 X- I! j; i5 |- U if i~=isb&B2(i,6)==3; B6 _" @% U+ u4 d5 { @
h=h+1;$ N5 d5 y3 B% t6 `1 K+ R" {) i
t=t+1;5 t9 P5 W* U# E# ~% T0 O
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
' J; s7 l- ~) J6 w4 J7 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;
! n# _3 c3 V/ C& s$ H. N1 f end/ u5 d; n6 Y7 E
end
# d W& F, I2 o1 qDetaS7 X- g" g- a; R; x
%创建I$ S3 U! Q! r; u9 P% Z# \
i=zeros(n-1,1);
# s1 C$ Y$ F" o: M4 s( Wh=0;% e; n9 O. n# T2 C6 t
for i=1:n
9 n+ p3 S& z" |+ x if i~=isb& q2 X& |( [/ N+ g* _0 H& D
h=h+1;5 d V! _. I8 @& d
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));) P5 _2 L; H9 B
end
3 F8 J7 m. s: c+ Cend
: m4 m1 V( c z6 T0 |& tI
- Y1 n H! z5 {: Y; [%创建Jacbi
0 O$ C. N# e3 [" Y( q; `8 kJacbi=zeros(2*n-2);1 Q$ |, j1 f g0 ]0 C5 P
h=0;0 [; P4 [; r* w3 N( j* E
k=0;
5 i* \6 X9 ^ i" e* X$ l5 ffor i=1:n: e+ {" A: _/ f6 ^
if B2(i,6)==2
, _( s$ |* _* E h=h+1;
5 c# d3 E) f$ _2 ~7 |3 L& I9 v for j=1:n
* ]; O8 G* l* V9 q4 s if j~=isb% r: N& A- ^: h) s/ r# U q
k=k+1;: Q) G, J* W& y, |
if i==j: b" E) ^1 R' 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));* w9 d* f8 \9 V" r1 M) g4 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));" _, G, ^* P9 b
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));
7 }! B! h) s/ d" v Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));
$ z6 U) e9 V7 h3 h. B. z" E else
: c2 E$ ^6 s l' @ Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
' A# Q6 W0 T9 k% S% w1 j; {# b# D r' A' I Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
2 w# ?$ u- _4 R8 E2 K Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);/ Q% G( }; P3 g/ i
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);
: D! M2 T: s7 G/ z. A8 L end- }( ~ t1 I8 x4 Z0 [
if k==(n-1)
. l0 b( a/ c! V k=0;
# W8 P0 h8 d c- S0 _* }" G end& C6 {8 u; R) p D t% L* a) t
end( d4 u& x" C% b" _" y, W" {5 C
end
# }; }2 V7 I- g/ p& ~9 H2 t1 w end1 X) h! j1 |9 q: H8 C4 y
end
+ m. x) l( a& ]# D0 L6 }4 Wk=0;
- @/ n7 F( V U% Q5 L- h/ Dfor i=1:n# H: q( K- Q( Q# r6 |
if B2(i,6)==3* j, F8 E* d8 [7 c/ @
h=h+1;
$ G' k1 ~+ ]" |/ U3 o for j=1:n3 t @2 `+ s2 l8 u+ h
if j~=isb
. H* H; L- T1 Q, k: S- l k=k+1; Q' h. M9 ]0 g% r# H7 }- Q
if i==j
2 N! s2 _; q5 l- [5 W1 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));
! \/ n: X( ~ H7 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));* J. C* N6 ^; [: i; b
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
! U# H2 ~7 Z1 z/ _ Jacbi(2*h,2*k)=2*real(B2(i,3));$ k+ p# B! N4 j# r
else
1 ~# U4 U, L6 B. b8 M: v Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));" T" |3 p8 E% @$ z9 _7 [
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));% e1 C( m' |1 L A/ j+ F: G) p
Jacbi(2*h,2*k-1)=0;
* J5 Q6 }, \6 [, v: ^- F) X( B Jacbi(2*h,2*k)=0;! u/ C; S7 |9 `' v
end
% h- F, S# W" A4 h( i5 w if k==(n-1)0 H7 B# }% ~9 Q0 q" e0 _
k=0;4 j) s+ }* _7 S/ W: ~9 T2 b
end
- @ \0 z% K/ Z( S end
u9 l5 v% Z, D7 N( X7 x U1 \/ f end B# s4 _5 l1 T3 S
end
8 c8 ~6 K5 @# @4 p) v7 yend- m, d% ?: b1 U& t" n" z% \" Z
Jacbi8 J2 }8 z. _- K1 O& i+ [8 \
DetaU=zeros(2*n-2,1);2 @& v2 M" u( d
DetaU=inv(Jacbi)*DetaS;3 X8 U, g* |8 d3 e) y% Z5 ~
DetaU, P# |3 } j5 {4 r0 j
%修正节点电压& y2 s6 ~; \. o5 B
j=0;1 S$ A' B$ l) \; z [3 {
for i=1:n
0 n- z' m5 c; Z, R9 j% v if B2(i,6)==2
/ j; I+ P& }4 a6 I; P j=j+1;
8 u5 |% W9 A; i1 z& [/ H" Z B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);" v' {8 o R; s- `. A p
end( S0 D2 k5 o8 E9 o
end
6 D% }: I) J$ c6 m, ofor i=1:n3 ~; U- I! c/ e. @4 `. W
if B2(i,6)==3# u M; ^/ `# B8 R1 Z' U
j=j+1;8 j: _. c4 [; R% Z+ ~
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);& m R; k) X6 {, X
end$ B4 W9 x: ^( M" W
end; |+ r1 c9 ]6 q8 F2 }0 F! Q
B2
' I$ K0 Y4 H6 w, ~Times=Times+1; %迭代次数加16 z% Y0 |) h5 `& l! Y# B* R
end
5 B! |+ }1 ^$ l% x- U+ ^Times
" E1 y* A/ P# P# u
& m( P3 M( |! k0 U- Z一个原始数据的例子' H# x1 }6 Q: M. A* ]7 o* o
节点数 5
! O7 u0 m% \" x" b支路数 57 k; f2 m6 x" o
平衡节点编号 5
" M# ]; ?8 Q( M8 c# x精度pr 0.0000011 \; V' R+ A& i3 N1 K% W) y
B1(支路参数矩阵)
) B9 e. T1 |. L7 m& B[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]1 _. H; _6 a* D
B2(节点参数矩阵)* m) E# Q$ a/ u/ 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]
0 i! L w/ v" a% Y; ]7 @X(节点号和对地参数)! s. H4 h4 Q. i# R
[1 0;2 0;3 0;4 0;5 0] |