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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: a5 a; M# U0 o, e/ d: P. J1 I0 R
基于MATLAB的电力系统潮流计算
: ~1 a$ p% l" G7 i8 S , T' R9 `1 ?: ?: c7 C# C
%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：' p7 V5 |" [8 [( W
%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# D; o; \( P: v$ i7 \1 {6 i2 \. H
%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) G+ [$ [* E- m# t5 l# v# ]
%编号，将变压器的串联阻抗置于低压侧处理。
8 f4 Q# ~* m) x* B \0 E: W% }3 H6 {%第三列为支路的串列阻抗参数。
; O2 h6 n* F6 p9 F& r; ^%第四列为支路的对地导纳参数。
5 W# E; t: V6 |' R%第五烈为含变压器支路的变压器的变比' g$ e/ g! s4 [ O; ]3 [# V
%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 P# y0 d. W6 u
%“0”为不含有变压器。
) ?, y- h: ?' U0 p, p( A%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
6 q+ \4 e/ Q. X J- ^- k%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
+ r. @7 Z) R6 r3 Z& B%“1”为平衡节点，“2”为PQ节点，“3”为PV节点参数。, V/ {% x( ]: j, [" H+ K7 P
* [/ S1 u1 {' A& K5 `) S+ {0 j- L" L%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0 S7 w N5 A3 \* I/ j& `, @
%参数。! d, H$ g! v/ E0 C
n=input('请输入节点数:n=');
3 ]4 Q; K( j( `! S/ q$ Yn1=input('请输入支路数:n1=');! C3 b$ I9 e8 \, [3 l2 |- t5 B
isb=input('请输入平衡节点号:isb=');& j9 g- Z* x6 Q+ H* k |: b+ M
pr=input('请输入误差精度:pr=');
) ~' [8 E$ Z# Q9 {. G* VB1=input('请输入支路参数:B1=');
% ?- c& e! d2 W+ HB2=input('请输入节点参数:B2=');
; ?! [/ @" J3 D9 M; G% d5 ~6 IX=input('节点号和对地参数:X=');
, Q- \# a& X0 d: o. b vY=zeros(n);
; o+ f* t/ r3 `# wTimes=1; %置迭代次数为初始值
% o6 F# l9 V; z" r* M%创建节点导纳矩阵
; J" V; C% B2 R8 }. d) kfor i=1:n1: A! {! P' e6 x; v% `' E. h0 M7 v/ I
if B1(i,6)==0 %不含变压器的支路
7 Y$ |- K+ g/ ~6 T+ ~( h p=B1(i,1);7 }8 C; b$ X( N7 B) ~
q=B1(i,2);) Y) e" Y- q& |, y# k- L: i7 X! p
Y(p,q)=Y(p,q)-1/B1(i,3);
" L; v7 _/ T- b Z7 J Y(q,p)=Y(p,q);
1 P5 N. Y" {, |2 C' b! Y* \ Y(p,p)=Y(p,p)+1/B1(i,3)+0.5*B1(i,4);6 v. X# f4 n+ p
Y(q,q)=Y(q,q)+1/B1(i,3)+0.5*B1(i,4);
1 K/ n$ H1 Q$ R; I# H% ? else %含有变压器的支路4 b0 d e* m' P0 Q" J+ g
p=B1(i,1);6 Y) l7 Y0 ^# H! l: Z/ |" B) T
q=B1(i,2);) T7 L' ?, p" {! f6 ~# D/ B% v
Y(p,q)=Y(p,q)-1/(B1(i,3)*B1(i,5));
3 `& x7 u* _' b9 _! d) X& h Y(q,p)=Y(p,q);
: W! w, {9 O! u4 |, Y( H& R% z6 X* d+ K Y(p,p)=Y(p,p)+1/B1(i,3);
! q2 E3 p* g" m$ g8 j* } Y(q,q)=Y(q,q)+1/(B1(i,5)^2*B1(i,3)); J6 Z& d. ~3 U9 V0 O
end8 K! R. N' i" x: k# M9 W) o
end, a! u8 ]" V! a, l5 d) r6 V5 @
Y( g; u/ O# h# g' X
OrgS=zeros(2*n-2,1);
$ Y7 Z/ m; U: R8 q6 sDetaS=zeros(2*n-2,1); %将OrgS、DetaS初始化
# q* T$ X, V1 |" O%创建OrgS，用于存储初始功率参数
/ s' N. ~; b. s0 i% Th=0;5 d$ z( ~& A/ w$ C! M8 M
j=0;2 J7 R( L+ [6 s4 D8 g* A% s+ F
for i=1:n %对PQ节点的处理
* d8 r8 x1 Q6 c4 x4 i3 ^ if i~=isb&B2(i,6)==2 6 U" u' G3 E2 @3 O& G
h=h+1;0 Z( w6 v$ N. _3 s2 [7 t
for j=1:n
! _8 _* e4 B8 m4 Y8 r 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)));
" e- V2 q( Y+ j# E- L 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)));
. e1 _( F/ l7 b+ _- B9 w e9 F% i3 o6 b end/ n7 Q# |8 U7 O
end$ R; L$ j4 ]. V) V; S$ x
end
+ g/ g2 j: \( i( q! O' X3 M( v2 Lfor i=1:n %对PV节点的处理，注意这时不可再将h初始化为0
# i: o$ f* z/ B! d# h- G if i~=isb&B2(i,6)==36 e+ x& n; O* U( p5 I) e
h=h+1;; b3 d6 k# J9 O7 e8 d. K
for j=1:n7 [: d% e) z6 ?1 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)));
! s9 b: M" M$ G; Q9 j4 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)));
! Q S- c: }9 K' ?+ ~1 v end
% b1 O8 k6 B2 C1 j. G end
% `. K( v a* i' H6 Rend
0 G# p; [; M TOrgS
, @$ ^ b9 u1 D. W( r$ d9 n. O%创建PVU 用于存储PV节点的初始电压
7 p8 F- u i. }# I4 j5 X1 APVU=zeros(n-h-1,1);
/ W2 [# H0 B" c1 ^* |! ?0 J) M: Ht=0;
J. e5 Z; u8 `/ `0 ^1 yfor i=1:n
1 z) a# N+ j7 X/ k9 N; |3 d if B2(i,6)==3
) A/ N$ t. l+ E" {& u t=t+1;; p, ]% g. C& J& ~& J& F+ h
PVU(t,1)=B2(i,3);
; w. |) _/ M: ?3 l* @ end& w4 r* r: k8 e4 N! r
end# j' W, Q, L$ B/ O( E+ {! c2 Q8 _! k
PVU
0 D& e0 l, C8 \8 C%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" R( y) L2 }) f! w7 r- F/ K
h=0;
" I3 C' ^ I( dfor i=1:n %对PQ节点的处理
" I5 h, n6 f d$ Y! L if i~=isb&B2(i,6)==2
& O9 J7 B) {- j/ }$ m* p h=h+1;
* v# z5 `8 y" C3 E% O6 V0 U DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
% H/ Q1 u: y7 y! s DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);. @' Z$ n" l5 _) @1 o. I
end
1 n% N' y# L% y! {9 J! V5 Rend
5 h1 F; Q0 P$ L& n; E8 Vt=0;
. X2 E" W; n! j$ \! efor i=1:n %对PV节点的处理，注意这时不可再将h初始化为0' C" O% e- {/ W; e) G: U, ?4 e
if i~=isb&B2(i,6)==3
) z6 |. A: D. d2 E h=h+1;' n# E Z' w: _1 v9 \! S
t=t+1;& k# r2 C1 t" X
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
$ t7 h5 T2 k/ j) d' h6 X% x5 b 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 [7 @6 [! L% h
end
! Y7 `' `/ ~% n) } v* gend
' l& \$ h i* \- @% \7 ^8 rDetaS) f) \9 H) O6 g9 n3 |2 S7 }% L
%创建I，用于存储节点电流参数) |0 Z% U |+ R
i=zeros(n-1,1);
6 d+ L& p9 b$ h6 |7 _h=0;
# T' ]) O5 D) P. {$ efor i=1:n3 w2 j" [- Q8 W& G) @
if i~=isb9 g \+ z& t8 G8 e* m
h=h+1;' }' S5 f$ A6 C% _( f
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));
8 {; L/ c. ?3 x' X end6 i4 L5 C8 {- m
end: _2 l, r ]3 \# L7 c* w
I3 ]0 c9 ]5 r1 n% U4 J! E
%创建Jacbi(雅可比矩阵)$ y* s' t( M6 i
Jacbi=zeros(2*n-2);1 {8 i: R& T1 W
h=0;
; @8 Q) v! F) L( \2 c- bk=0;
! B# {: ~1 }6 u( nfor i=1:n %对PQ节点的处理 K6 x8 S" {+ I5 j$ M y
if B2(i,6)==2
, Y# {0 v% M$ e, \! S h=h+1;
9 T- N1 S% p' F$ x, ~ for j=1:n9 j5 Z8 B- x, u+ Y3 j7 i# G
if j~=isb
3 r- ^) i, I6 N M9 X& j0 ~- l k=k+1;/ ^* N5 V# `9 }$ f
if i==j %对角元素的处理( g: f+ U# c6 B; 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));
3 n$ A X: N" J) 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)); v9 q9 E: @0 c3 I- Z: f
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));
8 h4 ` S$ n: x# L& I( f2 T5 o Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));
6 L! ^- v. C& H2 {9 J" F$ ^" M1 m else %非对角元素的处理
9 i! D6 ^ P7 T: z5 Y Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));" o$ ?) S* `' d e
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
2 K6 C$ P" m! K7 K8 e) ` K9 X6 h' _ Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);
$ s/ x/ r6 ]/ T& ^0 k3 H4 H& Z Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);
$ E5 s3 @* X, B: ]. S1 j+ F* X end& r2 I& U& q5 Y& w. E7 h' M" ~
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+ _# E0 ^3 t0 t2 c9 I
k=0;7 L f# F. ~% v6 J: `
end
. K7 d4 C1 d H" s8 z end- Y9 r- i7 {) c
end! }0 j) M e0 ]3 [& H! ?
end
3 u, D! C& r: k) X; Eend9 M% b! v2 m" w9 ^& l
k=0;
; V4 f- q: Y' R) Ffor i=1:n %对PV节点的处理
1 N0 @6 ` w6 G5 Y0 d- @) ^ if B2(i,6)==3
& M# X" I( Q2 t5 ~9 z# q h=h+1;4 k" Y! q; W A9 v
for j=1:n
* P, F0 d. W# C' t4 y if j~=isb4 ]6 s! o9 o$ U' ~( Y! Y5 ^5 h
k=k+1;( @7 Y* m7 A1 ?- S3 o# F2 V7 l
if i==j %对角元素的处理) Z0 p0 ^+ n# t3 N4 g, 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));, s8 c M$ l/ 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));" J3 b- b0 I. ?5 W& D5 ^% I
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
/ ]/ e+ ]: E' n, C; ~3 N2 S8 f# y& ] Jacbi(2*h,2*k)=2*real(B2(i,3));; I4 h1 _" ]( Y% W& \3 D: }2 |2 `+ `
else %非对角元素的处理
4 {% U/ b7 E! ^! h' `7 D [ Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
^0 i+ a4 K; G- R: M$ s$ w) V# n Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
* ~/ X! a2 A2 b+ D! O7 o, c' Q Jacbi(2*h,2*k-1)=0;
* ]) S p; X0 u& ?) T Jacbi(2*h,2*k)=0;3 z! y4 M+ x( ^" ~& f
end1 R; K4 M Y5 M: h8 P" 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
1 l, W4 i; p, Z- h. P9 h1 i k=0;* Q( B [" H+ g9 Q: v2 T, V6 H- B
end/ W1 w6 B6 j) J8 g! n
end: k2 n* |7 H$ r# j- U" |
end7 N: L7 v5 l( l7 G k8 P! p' j+ }8 X
end) a: B8 Q6 U3 [- |% k0 L. l3 e) ?6 ^, g% h& t
end
% N) b6 R: h' P3 sJacbi& U" {* m( s; D6 f% t
%求解修正方程，获取节点电压的不平衡量/ D! W% Q# v( \8 J" h
DetaU=zeros(2*n-2,1);0 m3 I) i; p' ]; I. X, z8 p
DetaU=inv(Jacbi)*DetaS;
) C/ v( W1 c- H% C! G: [) kDetaU
' [' ]0 S8 V( g9 \ Q" D%修正节点电压* N# f! r# ^) |! ^9 K0 E
j=0; D: C) m$ |! t- Q; E& ~
for i=1:n %对PQ节点处理9 g: h" p# x! b: z' x* \0 Y7 y
if B2(i,6)==2
+ J% o! z3 J7 y7 x8 }: d j=j+1;
& o3 s* w; n2 F% C! ~7 i B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);8 p# p& G4 M2 l9 x' p0 t% s
end9 W. B9 {1 b/ z t% e) S" `- s
end4 d5 N v; m2 o9 m7 X, t
for i=1:n %对PV节点的处理
# Q; v' n9 d; f# i" ~( H; x4 r+ [ if B2(i,6)==3
# H; T- d1 i, {/ Z j=j+1;4 j% q. n6 N6 X
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);0 U; Y. W5 T6 L/ b
end
- L0 O$ R% p; ^) I/ ~end( E! |; T/ w+ {$ b
B2
- v! U) f8 r" D2 _5 \2 P%开始循环**********************************************************************7 H2 Y# y3 V) d4 `- w8 p) Y. V
while abs(max(DetaU))>pr
* R: c, d8 b( @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
+ D4 x6 M4 `5 P7 X+ M7 C+ Lh=0;
2 n7 g" ^" J Fj=0;
# a# {, J7 u( K, tfor i=1:n
$ S& [, _+ P8 e3 ?7 J; {' Y if i~=isb&B2(i,6)==2* l" O3 Y4 K# m- o" Z
h=h+1;+ x0 p( y: m5 ~( M
for j=1:n9 T0 T* F3 Q, g Z
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)));
y. y. `- M* {3 C \( _" U7 v# v 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$ e: {4 ^4 q: h6 a7 \
end9 N7 x% B3 }2 C1 Y% `/ y& l
end
2 [* N. W1 q4 G2 C$ Aend
* U% ]3 ~! V- G- \1 v" y( Q7 Ifor i=1:n
( A @$ ]4 i& z: T if i~=isb&B2(i,6)==3$ T$ ^7 P! e; m5 j3 [( j( [
h=h+1;/ L! ^5 P+ G# F3 i# J* L% D0 Z
for j=1:n
5 f2 b; E4 I+ f0 R; 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)));
% I" f. F! P8 @* [/ h5 P, n 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)));
& @% e" r9 _" x7 b. ^5 W end0 p9 H" c; y1 n s: J
end
& P$ a& T7 Q+ h) g: x0 p+ ]end
+ u* M! p3 c+ P% jOrgS4 J6 L" H3 {$ s' J& w8 u
%创建DetaS
( {9 z+ F- ~# Dh=0;
5 ^' n' x; v$ V$ U/ wfor i=1:n- c: I% f1 |. _( C
if i~=isb&B2(i,6)==2
- f% l1 M4 M+ P h=h+1;
/ D# K3 Z: f" [, _3 ^2 { DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);+ C5 O7 `* _# K. G0 D) l
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);
. q# p2 j% d' [ W! R end
, x1 Y: ~! ?1 E8 x9 ^$ aend
: v3 O7 P5 _3 r$ Y! Mt=0;' L& o ^% \1 E
for i=1:n9 {% ?$ C% I5 G4 ]
if i~=isb&B2(i,6)==35 Y) s8 n. j" W0 J
h=h+1;
+ [( k' W) Q, m; ^# ~) a" M t=t+1;, d- M& }% U6 g- F0 Z1 _( n; w
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
' l; t% B6 c" b! W; d: y% t9 \% V4 [ DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;- Q+ k. S" k5 h, V9 \" }2 p% B
end. }" M, W: d$ i2 a4 k% q
end8 {, m1 T1 Q" B( _; d' P
DetaS0 d! u/ b- ~0 g3 R2 X
%创建I
! P) O: \' G2 v- d" F9 Yi=zeros(n-1,1);$ y6 [0 n4 M" N( n H/ S" ?" B3 ^- z) N
h=0;: P1 _' L' u7 M
for i=1:n
- |7 B0 [; a0 f) O5 u if i~=isb5 R2 ~" z4 K. M/ n* m; K- a
h=h+1;
# L! D) Z6 u3 c( M I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));" p7 j2 o/ u* l# n2 I$ ~4 |
end
& o8 @) n) P) @7 ~) G- rend
( W) F8 u4 }9 t0 R! r ?! @+ WI
2 c1 |! {1 f" i%创建Jacbi" z6 E) C" F: K6 ?- E' ^+ Z/ x
Jacbi=zeros(2*n-2);
% T( g* X; V) Y7 d7 r5 z4 rh=0;
: x. E. @3 G! o# ?* P9 ~( |k=0;* K, s, }# \. w
for i=1:n0 W* l2 b! Z& q0 ~" J( X
if B2(i,6)==2
4 {& K6 ~0 u/ ^; F5 i% g h=h+1;! s0 P% K9 g, G6 I
for j=1:n
: [# k- d! u' [- h0 U- K if j~=isb% u+ v. f/ ~, X% I7 a- D, U4 N
k=k+1;
" D# O0 Y! p- F; T% |, C6 L0 J& R if i==j
0 N! s4 L2 ?* s% [8 ]# 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));
# y; Q& R2 H z& ^/ [5 H+ 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));
6 I4 g7 L$ M0 V Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));" i# E- g0 K0 S- I: D
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));
0 J: o6 \" }. C3 `% v. d, s else
8 p" U- P; [1 T% B- {* o: X Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));, |" x" q+ p( N R! c
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));8 Q9 C$ U" L- K5 O; \ K Y, n
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);
/ f! r4 u u$ c' G" [$ W% m- u Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);, L0 }* U6 N. j* c8 ^6 x
end
/ r5 S2 n t# h* n3 G1 Y if k==(n-1)0 B' B. G6 s) k5 |, l- D) e
k=0;% }. `9 }- S, |
end0 z- h& [) q5 L! s5 Z
end5 N# j9 H0 G- q( ?7 ]
end
' s2 N# S7 G% _5 g! U% b0 A end6 Z- [4 Z/ O! S4 X& a! {, l2 ~% x
end
6 ^( R; M3 ?/ |, F7 Hk=0;
( O1 Y/ \) ^/ D5 P# [$ hfor i=1:n6 I5 X9 U3 U! H8 N# S: s
if B2(i,6)==35 K, S. Y5 E4 L* ]' `( i$ I/ ^
h=h+1;
8 p7 ^3 X; m" L& W: n for j=1:n' b8 a9 {) u5 g
if j~=isb: R9 k5 v( r& H" c) o6 [* G
k=k+1;7 e/ q: `3 I% m, I; W5 k" s
if i==j
- _1 z% }1 g0 b+ B7 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));, d% ?/ s, T* v! u
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 w V, b( g: V
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
6 ^3 b5 e/ l8 q3 u, U5 c Jacbi(2*h,2*k)=2*real(B2(i,3));
9 j; M8 n7 `& a o/ _8 `# ` else
* @) ?6 J- K2 q8 _) j+ W Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
% o; g9 S, L, V5 s- I/ V. m+ Z7 D6 V Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
- G$ X4 b7 [) H& F' _6 s+ Z( t7 x Jacbi(2*h,2*k-1)=0;
5 ^% c/ w6 n" {; _+ m Jacbi(2*h,2*k)=0;% a; A8 n6 Y$ p) m" b* \
end( d" g+ j3 x' i& o! n3 H" n# W/ i3 w; V
if k==(n-1). [1 @" C3 a. ]. c+ ~
k=0;% O, N# S; b* ~5 s9 m
end
- U3 E6 ? X* m- V' n& E7 e, R. W end
' }3 P; H" C7 O/ h: T- Q6 l0 W end
1 J+ {" D8 {3 |' U' R0 L1 n end4 A) A# [/ r0 S1 |( ^: o, g* D4 J
end
! ]$ k; L: k+ ]5 g3 ?' ^Jacbi
5 `8 L+ I8 z$ |, o# G0 f oDetaU=zeros(2*n-2,1);
, x2 e" j! M% Z+ A" E# NDetaU=inv(Jacbi)*DetaS;, X5 E- T1 l: L& |* {- a
DetaU
6 a$ r* V K# Y* H9 {# i: _5 f, a& U+ m%修正节点电压, m6 }" L+ `) W/ d
j=0;# O& O& N! P9 m" w4 P1 P; e" S
for i=1:n# E j2 g5 D8 l* [
if B2(i,6)==2* F7 c) P( S# U1 t3 N6 l
j=j+1;( C8 L) w5 f/ y9 d
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);8 w) `% i# w' H3 d
end" m. f+ v" y9 W
end
1 C ~3 u) B8 vfor i=1:n
7 q M) Q* P1 f if B2(i,6)==3
+ }% @1 ^2 X: f# S& u q j=j+1;) C5 M! l4 o: _, F C
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
. b. K0 r; S- X3 T6 ]" `. Y end% C0 J% U: G2 ]0 `% Y1 i
end
) D# D- O9 j& m8 H5 j0 BB2
5 ~' t* [2 g. \( iTimes=Times+1; %迭代次数加1
6 L6 \/ |; O% ?. Lend) i2 n3 `7 l9 B) W2 ^
Times# Y, j; y H) q! F+ L# ?+ j
( H/ P( x! r" h9 r- w; A4 k一个原始数据的例子
; a M7 @0 T! I7 a* p0 h+ m- S节点数 5
! {4 s+ Q* J7 e* m$ l6 P! C' {支路数 5- U6 x6 k5 I+ y, c! G; g7 f$ S
平衡节点编号 5* S; z) ^* y3 y( Y$ u+ P8 d2 E8 x
精度pr 0.0000011 g* F0 a. Q+ P- z
B1(支路参数矩阵)" W% q7 V+ _' y4 L1 k( r1 _! l) 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]
* z( e& G) o1 O( yB2(节点参数矩阵)* |* [7 |4 Z7 S" E i8 T+ K
[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]" B; J( ~3 q/ D
X(节点号和对地参数)0 B6 J" z) z3 E+ V) I" e$ N
[1 0;2 0;3 0;4 0;5 0] |
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