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# q" I4 y2 S ?. W$ q! G6 G+ T% k基于MATLAB的电力系统潮流计算. p8 R8 B6 \) o& S. K( A( e# V
0 D, b+ z* G/ e+ \' m1 p
%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:
8 D4 g% \' R/ Q$ l, V2 M1 U: a( T%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
& a# H* x( O2 y2 l%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; {6 j9 e0 j4 Y0 U
%编号,将变压器的串联阻抗置于低压侧处理。; ^' [+ q2 e9 t4 T5 R
%第三列为支路的串列阻抗参数。( o; A: Z% @7 e# ]" H: l% ?+ y
%第四列为支路的对地导纳参数。
7 r# E! J1 d/ J& q%第五烈为含变压器支路的变压器的变比
% a6 A; p2 M" Y. s3 u# B%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 N u% O% {* [& n6 p5 k5 S%“0”为不含有变压器。' I& u7 T$ \: u5 W$ F( m, F! K7 T
%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* X5 Y& p4 ~0 ~, e
%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, y D6 ^% Z* |4 ?
%“1”为平衡节点,“2”为PQ节点,“3”为PV节点参数。
# G" a; h5 \) M$ q2 r I; i$ w, M( \
%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
! g% J, U. n7 l# g( d% t; c%参数。
- r7 i8 K$ C5 }- Q: I" ]# a5 {n=input('请输入节点数:n=');: Y$ m7 W. H$ i9 A1 v" o/ W# F
n1=input('请输入支路数:n1=');
' }! Y% d% P& Q" sisb=input('请输入平衡节点号:isb=');% p& j: |& n0 |6 W6 A3 j
pr=input('请输入误差精度:pr=');6 D) W9 J$ i6 C7 R6 b; n
B1=input('请输入支路参数:B1=');
$ Y3 z: W) H# B6 {! JB2=input('请输入节点参数:B2=');
. w" H a6 K% q# [X=input('节点号和对地参数:X=');$ j# o3 h+ R) v* Q; z! m0 K a$ P
Y=zeros(n);
. V) n7 R% K4 i! I" ?6 eTimes=1; %置迭代次数为初始值
X- v8 P/ Z, p" ~6 O+ J%创建节点导纳矩阵! ]9 g; l* |: a U( |
for i=1:n1, d8 U* Y0 } ^3 ^
if B1(i,6)==0 %不含变压器的支路
( Q Q6 K6 m: ?6 o( U p=B1(i,1);
% h& D+ F* }, X8 [, n+ C q=B1(i,2);) a8 m" n3 c" ?+ o' S/ J
Y(p,q)=Y(p,q)-1/B1(i,3);! _/ ?; S8 L; ?5 y f
Y(q,p)=Y(p,q);
1 L% E+ e4 v+ k0 X Y(p,p)=Y(p,p)+1/B1(i,3)+0.5*B1(i,4);
' Z9 {' i) V5 X Y(q,q)=Y(q,q)+1/B1(i,3)+0.5*B1(i,4);
1 d" O! _7 H( [& j6 l else %含有变压器的支路9 ~2 _- P8 E- v5 I
p=B1(i,1);
& v- r- c) Y4 ?3 w+ r' Y) q% k q=B1(i,2);: N4 C# j7 H) _" o4 E$ ]% ?, t5 ^
Y(p,q)=Y(p,q)-1/(B1(i,3)*B1(i,5));
\& E' C# Y7 h& p Y(q,p)=Y(p,q); y6 B% G( c9 x+ X! q3 F$ b4 g
Y(p,p)=Y(p,p)+1/B1(i,3);
f, C6 A3 d! C/ z Y(q,q)=Y(q,q)+1/(B1(i,5)^2*B1(i,3));
, _* @! `0 u! P' @& n* Q: i end/ w5 ~4 N0 V5 z# P6 r' M# `
end$ u% C- d I* H( r
Y' w) _) d5 S7 E! o. M9 q7 |
OrgS=zeros(2*n-2,1);/ v" F/ k9 e4 C. @! c
DetaS=zeros(2*n-2,1); %将OrgS、DetaS初始化
& m j1 a7 O, _; t%创建OrgS,用于存储初始功率参数* B3 j v$ G* K/ \0 q
h=0;
4 f8 T+ C C8 v4 Gj=0;( W/ |3 d5 l+ f3 P
for i=1:n %对PQ节点的处理
9 @7 q$ y9 P& X8 h if i~=isb&B2(i,6)==2 / B. ?# z1 X- o* y* b3 D
h=h+1;
5 z8 s0 O L: v5 O/ I. A+ y& ]5 F3 ~ for j=1:n) ` {& A: P, P- _! ^2 v
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 I3 u2 V5 e7 S- V" 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)));
2 S `# \# s+ { end6 }7 l+ X# F( A
end, G( I# C2 ^$ `4 ]# Z
end9 N( y2 W0 j0 ~1 Z9 e+ A
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+ L4 R+ d, e/ V( G' [
if i~=isb&B2(i,6)==3
2 I% g% G C7 s1 x h=h+1;" N- G( F5 E2 X# z7 F# r
for j=1:n
1 Q/ x a0 E4 z% \ v+ @# ` 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)));
9 o) c$ r6 g3 j3 j5 Y 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)));8 M0 E$ b; u3 D
end; C$ p* `. ~6 X+ M# N* `
end! ^& B7 C6 y) p# N) J ]
end
+ `5 U: P, t* p' ]OrgS0 O% z. ` f& ~: u/ f: \
%创建PVU 用于存储PV节点的初始电压+ o9 d3 J$ G) G* Y' g: O+ R
PVU=zeros(n-h-1,1);, @4 X, L7 w; B8 V" O$ }9 N
t=0;
( o2 O. }4 V- N' P6 Zfor i=1:n% [& o9 [6 s. p: i5 s5 g+ X
if B2(i,6)==3 B- M8 g7 K* A
t=t+1;' V; @5 X# n' X. B! u/ ~! y
PVU(t,1)=B2(i,3);
* C! a6 q- C5 B9 p, P! G end
2 v: L0 F1 f* `- M3 B& |4 H/ nend% B6 u( @$ Z/ v! X% ?9 S
PVU
& d2 Z, ?% G2 x* F% y( i, P! s%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
1 V/ }1 o1 I9 O1 ?4 y% Uh=0;
& Z5 I& G. s- K8 E8 d6 g6 n* ufor i=1:n %对PQ节点的处理6 D/ n% \* H1 _' l% l
if i~=isb&B2(i,6)==2
, W" C6 c' z& R9 Y% T1 U: D h=h+1;2 D' W% u1 N* L9 d/ j
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);& W5 a6 i5 f7 P4 h# Q/ _) l" X) l
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);
T% ]/ r9 p3 f. F: B$ X! v9 v! R& A end
( O5 e4 Z( l6 `% I8 O& ]. v5 Kend* b: \6 R. S; S: l# }. v
t=0;- f, e" n# K- l2 \3 O5 H5 T/ O
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/ F0 l5 K0 ~6 S4 D8 r5 t* b$ |$ S
if i~=isb&B2(i,6)==34 L _1 E* f, }9 {7 N7 J
h=h+1;- B& G8 y* G+ @4 z4 g- W7 p
t=t+1;
- q; I3 ^, m. q) J2 M' B" ~ DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
4 }& {' V/ B& N) R7 E 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 ?( R, w6 f7 b
end( v) q1 F. w8 g- S6 @
end# _3 v. f) g$ w) o! W) I! R
DetaS- H7 U2 y- E5 {5 f- n* G
%创建I,用于存储节点电流参数/ ^# e, c" [& @+ s h3 }! X5 \- {
i=zeros(n-1,1);" ], p4 ~( }7 |; u
h=0;6 B( ~6 R+ }( x
for i=1:n' \. U1 I3 L& l$ d' t
if i~=isb: C: B7 Q& l* o8 b1 D; y# ~& b! N* Q
h=h+1;: e3 {- a. h- f6 J
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));6 v8 `8 q6 [6 o( b5 D
end2 q4 O" q4 w( c1 D1 k: l
end- n+ w! J& K1 N' U; L; ]
I
3 [9 L9 }9 G; J) Y%创建Jacbi(雅可比矩阵)* U* |0 ]! m) G9 Y
Jacbi=zeros(2*n-2);
. n( V! i ?; Uh=0;
0 K5 t4 a6 Z0 A& F+ w. L4 \* ]k=0;. R6 T; z# d$ h8 [/ b
for i=1:n %对PQ节点的处理
7 b" J: h) k% s if B2(i,6)==2
: k5 Y6 j, y9 r& | P$ y9 ? h=h+1;- M* X' {' D, V4 x. v
for j=1:n
' `0 Y' u/ _0 B1 s if j~=isb
( p" J* ^: S7 A" j1 Z1 L v' w% Y k=k+1;3 I$ z: P$ P* z. L
if i==j %对角元素的处理" [ r+ k, D7 G9 K9 q, }
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));
3 Z2 x& Z% V. Y' f4 O) P 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 Z2 `% C: B% {
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1)); {/ n; N8 U- u+ J
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));
9 `1 J' ?" @, h- y3 k! m else %非对角元素的处理
0 I' n m* s1 R2 f$ @5 V. t Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));/ {5 a, W" f- s) ~4 V- b$ [0 B; Z. e
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
# u# C- p, q ?' [/ L8 [$ v Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);. V/ ], X, p5 t3 o
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);! E; J; {4 G5 t. {9 A$ k5 D D3 U4 j) I
end
; z6 q l2 x* f, B, I8 y6 p 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 X, E1 h1 O1 f+ Y4 v
k=0;% f" N. l, e) s4 g+ g
end
& F- e& S8 g3 w. g( f2 t+ `7 @ end
; C5 Y- j2 |# a+ Y, T end
2 s7 I8 s/ {+ f+ r$ W6 m6 @ end' v) a2 A0 g) ~; F+ \# K, i
end
* e/ ~; A3 S w& l6 ok=0;
# z% B+ S1 \1 K% Y0 G( bfor i=1:n %对PV节点的处理( E9 E1 Y5 [! r! U- }* ~
if B2(i,6)==3
# P, Z/ h( U' |" L6 H: b h=h+1;! ]( W- y# u; U' S, [1 U1 X1 r
for j=1:n
K ]/ o0 a* z) b! X8 T: F* T if j~=isb
) O4 ^2 {( [- i% J3 N k=k+1;
7 x- f) o, [4 P if i==j %对角元素的处理
- s- g) d; @: q% X0 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));$ G/ i. S3 N. F I$ v
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));
; T7 V: I: S) v6 e7 d# y# f Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
! O4 Q* |- q0 j Jacbi(2*h,2*k)=2*real(B2(i,3));- t' t* M* Y$ D5 o
else %非对角元素的处理
2 A# [/ t: L: k0 M( w, ]# I Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));3 l1 G7 P# E* ~; g* R+ l
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
& T1 K9 G% E9 l Jacbi(2*h,2*k-1)=0;
( L7 z7 r( s) g: Z6 E* s Jacbi(2*h,2*k)=0;% v8 I+ M4 S2 l: N) q6 A/ b8 o
end1 o2 q9 z* |/ Q+ x
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+ a2 |! j: T0 X9 m5 F- b
k=0;
4 Z" X/ V3 @1 i. T" Q1 _ end7 o" h# D' S, {$ ?3 \5 M
end
6 b5 r E# H7 K" X, c' g end- x8 |! y& t0 U; `
end
' K8 [/ w3 Q. c) N4 B4 p. e+ Pend
8 U5 h6 Q5 l+ c. j7 r4 jJacbi
2 G; m2 Q1 K2 G# Q' l%求解修正方程,获取节点电压的不平衡量! {) P6 T: e% b7 A% K
DetaU=zeros(2*n-2,1);# {" f& _# z K9 t
DetaU=inv(Jacbi)*DetaS;
* M; r7 l+ X& `DetaU
, T) g7 w' Y; G* x6 s%修正节点电压6 `" ~5 e8 i( N. k# ]6 I+ I4 c9 q
j=0;
. X( U. v" ]- X% |3 ~/ u w# qfor i=1:n %对PQ节点处理" q/ q1 Y* S9 P$ V! R! S
if B2(i,6)==2
) F- y Q8 i7 z j=j+1;
& p* V2 I( d5 ?! b2 A7 |0 p2 `& ^ B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);9 ^( ]6 @& k; w# K) n+ R7 ^* u* r
end9 M; v3 ~5 U4 N( S8 S
end
1 Z& q4 p4 c) g* k( w8 p, @4 tfor i=1:n %对PV节点的处理
8 ^8 @$ J! @3 A$ p if B2(i,6)==3
# P9 T, V) M5 ]6 `. S6 i j=j+1;
$ o {5 T! t! Q. ?. u B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
1 R, u8 c2 O$ g* ^$ Y& \* r end! d5 }- a' ~1 g
end; z& R1 E, t# ~$ ]7 k; Y
B2! L$ c. J. v; Y4 `* \+ Q% t" l, l0 q" i
%开始循环**********************************************************************
7 C2 i9 Z) Z1 g, V/ A: F3 L* d' Qwhile abs(max(DetaU))>pr
/ J) e/ M+ f, eOrgS=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 j( \, t7 j" q qh=0;
* ]" {! ?; J7 s7 lj=0;3 \3 B. k' k6 M- ~7 e4 Z
for i=1:n! q( u1 J5 W: T6 ~+ ]/ \ I J5 X
if i~=isb&B2(i,6)==25 z; b* }3 v) X' y: @
h=h+1;
% q3 N/ G# g8 i1 D' w3 |$ x for j=1:n" f) @* |+ c) v1 r' c" 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)));4 F6 N4 C0 ^( @4 w 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))); \/ M9 D7 b2 [* a( @5 j
end% ~9 Z: z0 q+ E9 X& [$ W
end8 g* E' _/ ~, H, L
end7 Z6 H8 g. n6 i9 K& {
for i=1:n
1 `: ?" l: d' Q: }: X1 l% P if i~=isb&B2(i,6)==3) l- G5 d" C* I$ x
h=h+1;! Q3 c; U# ~" N+ M0 W
for j=1:n
2 j/ g' G6 U6 ?2 K2 ?3 E 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 k# n" |: O+ e$ 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)));; n% |+ L1 d8 l
end
# T9 U- W5 R& H z- M1 p end# Z( t6 o8 @3 _* Q
end3 J8 i* B' ^4 l r; X" n
OrgS+ i; G0 E1 Q5 ~" O6 f
%创建DetaS
. ]1 I y/ O9 |0 ih=0;
7 |) x5 M; I( B1 H# v* y0 o8 Y) n: jfor i=1:n; ?/ t, e U7 D9 }
if i~=isb&B2(i,6)==23 A5 P) |- g( d# H3 H
h=h+1;
5 j( w, M% {- ^# c5 U, x DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);% g* e+ i0 P3 K
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);" t0 E0 t( s, Y& u
end0 T0 b% V7 r: ^6 D* J# m; E
end( h Y9 j( s( |3 u/ [6 l' a
t=0;
: W, p! t/ S' K% q# r' \6 ?4 Pfor i=1:n: n' W5 \& @5 t; {3 B6 }
if i~=isb&B2(i,6)==3$ U, Y2 ]# u( Q1 `. [
h=h+1;$ O3 _! W6 a* N: o) M, C
t=t+1;
3 R# D0 I. S N4 ]* a. ^6 q% f, n DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
/ e2 m. d2 \; F7 W! {$ J3 } DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;
, b/ w ^& T$ s/ X' _1 l end0 Z& A: a% z& Q6 [& D, h: p& I
end. a& e3 c! A" ]- E
DetaS
. ~8 v8 q: l: n# O%创建I
- V# \3 z' A- J* d; T F9 |i=zeros(n-1,1);
7 F$ ~; [, |* D/ i$ mh=0;
1 `# i$ f" h* mfor i=1:n
- z- E1 R$ z; z8 V( H9 B if i~=isb
( N6 j' H" R/ i: i* J0 W h=h+1;7 o" [: a+ F I; H
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));
7 n7 D1 H; K, X5 L8 J! L9 ~$ j, i. e end
! e/ h% Y) T% ^- Vend1 }+ Z% s8 D( x$ ?' p7 ]
I
6 |+ I% ]" r% U3 d( S# P3 [" F$ v%创建Jacbi
+ f% q$ G* c: v) [, F& g [; iJacbi=zeros(2*n-2);7 w1 i1 S; r, w' z) i5 U3 d$ Z
h=0;: W9 N N1 t- C; K
k=0;5 i h( L4 R0 Z9 Z/ T
for i=1:n- ~6 [) [7 L: ^
if B2(i,6)==2; h! x8 S0 e, r$ Y) O. H
h=h+1;, J, H2 z9 C* z7 ^+ p, _
for j=1:n
8 U) C! C) }* b; O; H if j~=isb7 D, U7 d( ^! v9 u
k=k+1;& B" Z' y( e9 `( O F+ F
if i==j
5 n5 e: S5 L' b, H2 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));
; h, t V0 b9 N/ N4 Y 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));
! ?% [+ S7 w9 h4 S3 r. } Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));
* o& E4 ]! d) J* r) L; l- P Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));7 P: V+ D6 n4 r7 i0 k- @ W& D$ G
else
6 {5 M) c! K! K) M# V3 T Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));. N4 \# e8 j- @ N! Y7 d) i
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
& `% X" O; J* Z7 |+ x9 T Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);/ U) d7 F( R) E3 Z
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);
( P5 L" W" y; Z' ` end
5 m$ J9 j+ b6 w Z! A' E5 I if k==(n-1)' o" u' H6 X/ U1 B
k=0;. l4 f* e+ f: ~. K9 e- x* j
end
( ^' n' U' z6 H. B5 @& R end2 v2 s; B# ~+ Z+ h9 j
end
1 Y6 B( Y- _$ b, ?% ? [1 W; k end
* ^( d8 X9 `+ S7 p; Wend# v) {# t+ v, m6 `/ r, h
k=0;3 k$ f8 P; y: G3 o1 a7 s, v4 a
for i=1:n& F- u# r2 k+ W4 a6 w
if B2(i,6)==3
: K0 j3 p' U8 D- i" n* D) u h=h+1;
, L" v, j x& f: F for j=1:n7 Z3 Y6 O8 k9 t2 H, H; f3 |" ]
if j~=isb
$ j/ l9 z N* _8 N k=k+1;# R/ E/ H7 M2 w/ r: D! V/ D
if i==j8 ~+ G5 y; h- _; O8 i* t
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));, \( \8 \) `9 U# J
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));
: Q) J- ?. y! r8 U Jacbi(2*h,2*k-1)=2*imag(B2(i,3));5 T1 u, X& r2 K- W( z+ T- _; x0 ?
Jacbi(2*h,2*k)=2*real(B2(i,3));
8 S5 x( N- }; p. z: G else$ s: k: U/ k0 E
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));) W6 e1 b* \! p) A
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));6 c. w8 G2 ]- i n. q
Jacbi(2*h,2*k-1)=0;
5 H1 J. b, F. b Jacbi(2*h,2*k)=0;
) E% k" M; h: R0 b8 |1 u# } end
; u F6 H( g+ F+ i if k==(n-1)
$ \* h8 _" i; ^3 ~: b k=0;
1 v+ n. w9 L7 E; `/ d U end
* c; d! n6 D+ E$ e. c' l( F% ? end2 u: J- x4 ~9 r! d- E" S' ]
end# F" ?, P, O: Y5 u7 x; N
end
, ?& r$ N2 q4 s9 Nend0 D8 \' |3 s/ e, m. M. [, }
Jacbi* w# Z0 {- T% F$ m% p
DetaU=zeros(2*n-2,1);7 m1 v- L9 R( c+ M
DetaU=inv(Jacbi)*DetaS;
! e+ I1 e$ C# p3 d$ ~) jDetaU$ y# m* g/ |. u, h' l5 J
%修正节点电压* L# ~' r6 t# ]2 C$ t# @4 V" T: r
j=0;: v" @: ~$ p9 Z
for i=1:n
( a' w* G+ `6 r$ h8 K( { P4 g1 ` if B2(i,6)==2+ ^3 u" O9 T r: q
j=j+1;3 A2 ~3 l9 O/ M6 ~! ^( w: ]( O
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);+ d/ n- i2 M2 Q2 f/ n/ G
end
- n0 v0 j1 U4 u4 u' P9 aend' Q, F2 s/ j, X& X# H
for i=1:n
" P6 w! D; n0 h; P7 f0 d8 X if B2(i,6)==3* R$ ^' \+ y6 J6 \2 {+ p
j=j+1;) g4 |) U/ _9 C2 P
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
. d% m( N! Z% O# u' ~ ` end
! \' l; _# g& ?1 h0 ] u7 L& xend
5 I( I4 @* U* X8 RB20 |+ P( j% y1 J
Times=Times+1; %迭代次数加1! U7 i. x7 ?8 s9 g8 `+ {
end
, ^5 _( Q6 `; S: ~: |9 A$ |" P0 ~Times
, H0 }' W9 ~& x+ k
9 b1 M1 y5 r7 ?/ d0 b一个原始数据的例子
! r8 c8 {' \/ f9 d节点数 5
# W7 r3 M! T" n支路数 5
2 r0 n* e9 X; s8 }, C平衡节点编号 5
7 W3 F% A2 |6 M' _: b8 V精度pr 0.000001+ \& e5 S' i8 X: V7 ~' S/ v A/ U
B1(支路参数矩阵)6 P0 m+ T/ ?- e& O2 I2 ?% u
[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]
; d* E* G, o- x5 Y6 j% ?B2(节点参数矩阵)8 Q+ [( z, [2 ^) k; Q, `4 _
[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]; t4 R4 N. a8 T; i/ Z
X(节点号和对地参数)
/ g; R1 W, V; v9 e( L% r[1 0;2 0;3 0;4 0;5 0] |