|
马上加入，结交更多好友，共享更多资料，让你轻松玩转电力研学社区！
您需要 登录 才可以下载或查看，没有账号？立即加入
×
首先声明一下，这些是从网站上转载的，不是本人上编写的0 P, b( M: L6 W6 O
基于MATLAB的电力系统潮流计算
( o7 i: F0 U5 i1 W : h0 X9 [9 w- V# T* 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：, P8 {" V; W% |5 k$ \
%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. [; Z7 B5 C! {% D; _
%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
$ i0 R0 N3 _5 N- s% E%编号，将变压器的串联阻抗置于低压侧处理。
! T6 b; v6 c" z! v. `3 f8 w%第三列为支路的串列阻抗参数。
, b: Y4 N j. N7 X; s+ K" ~, u%第四列为支路的对地导纳参数。 K) @/ W! o, R2 D$ J% y5 G# Z
%第五烈为含变压器支路的变压器的变比
* H4 \9 [5 V5 \. I6 i%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，0 G: {+ p& ?3 A0 e2 a/ E8 L0 }2 \0 Y
%“0”为不含有变压器。! J( x# q) _- {7 q( x$ \
%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
- h2 J$ f/ N7 V5 f' [( R$ F# n' Q%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
; I& U0 s9 e$ x: _& u+ F%“1”为平衡节点，“2”为PQ节点，“3”为PV节点参数。
2 D9 N+ u$ ?, A& j
6 [& ]$ R; \0 P4 F t5 {) w%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" V; P$ O2 p- l" |
%参数。
+ v+ i# X4 i5 M0 x% tn=input('请输入节点数:n='); Y2 \8 m8 y/ Z6 ]9 |
n1=input('请输入支路数:n1=');
q% q# ~" T3 ^% Z0 y: P9 X2 ]isb=input('请输入平衡节点号:isb=');
/ O1 m7 p# t3 M1 c2 opr=input('请输入误差精度:pr=');# X T: [% F3 O# |; X$ l" P+ ]
B1=input('请输入支路参数:B1=');
& b* l3 s% b* a' D3 _4 bB2=input('请输入节点参数:B2=');/ X1 Z: h* y. g
X=input('节点号和对地参数:X=');6 {3 ]( }% D' p8 y1 b( b
Y=zeros(n);4 s+ E% l2 x$ y! r; s
Times=1; %置迭代次数为初始值& o$ V0 h! h7 Q6 o- M
%创建节点导纳矩阵) M) G2 B- y" C0 C2 a$ t' @
for i=1:n1# u/ [( ]. l: e. ~1 P" L- x
if B1(i,6)==0 %不含变压器的支路, n8 f2 R, j9 ?( V/ \
p=B1(i,1);
1 K7 W. A- |& c% Q& t q=B1(i,2);5 c) Q- P3 o7 H2 c* ^) J; y' l
Y(p,q)=Y(p,q)-1/B1(i,3);
8 X# t. b" B6 H0 `, K' w, k Y(q,p)=Y(p,q);
0 T. ^, G: U, w# p4 A0 P1 d Y(p,p)=Y(p,p)+1/B1(i,3)+0.5*B1(i,4);+ ]$ p) }4 E* C8 @, y
Y(q,q)=Y(q,q)+1/B1(i,3)+0.5*B1(i,4);
& `# p- {7 f# I* U4 A0 U else %含有变压器的支路/ q7 C+ w; |- S" `
p=B1(i,1);/ t$ h2 x+ @7 [/ Z
q=B1(i,2);0 m. k* b; {2 f' _/ P3 a! _: K
Y(p,q)=Y(p,q)-1/(B1(i,3)*B1(i,5));
4 l5 V4 m9 j' g" h3 I Y(q,p)=Y(p,q);: k5 S3 s( J- ? ]
Y(p,p)=Y(p,p)+1/B1(i,3);
2 t i; _2 q, d$ Y Y(q,q)=Y(q,q)+1/(B1(i,5)^2*B1(i,3));5 k2 A" q0 J' Y- o$ ~/ O: n
end
: s+ C: w/ ^1 W, L. y+ g& Cend( s8 ^* j2 C5 T1 C) X) h
Y
( L2 [* B4 ^9 J" z% pOrgS=zeros(2*n-2,1);
6 H( l \+ x* `DetaS=zeros(2*n-2,1); %将OrgS、DetaS初始化* H% A7 \; E3 i* d" h! n4 ?
%创建OrgS，用于存储初始功率参数0 M$ J9 H) `( s6 n0 `$ J
h=0;& u2 [$ Y7 \# a1 k% I' W- s5 X" v
j=0;
- J; l4 r1 i- | Jfor i=1:n %对PQ节点的处理( [5 N' D* {, Q; C
if i~=isb&B2(i,6)==2 ' D( @" m2 H6 Q+ N k
h=h+1;
. d- ?8 [% r/ O0 T, h for j=1:n& j8 o' S8 ]6 T7 e" R, 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)));
7 L) x0 F: r3 a7 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)));! B1 V8 Z+ d% ?6 q `4 M" H: i& d
end
/ k+ l4 g6 M4 l: {7 P1 n8 e end: I# o6 D5 [) D& p6 H4 |" p
end' M- K( {: Q8 E3 D G+ S9 d/ 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$ ]$ P" f# s7 I5 M) z: J+ W! K
if i~=isb&B2(i,6)==39 v% \0 L- u$ R) |( ]' {
h=h+1;9 g; H2 r- q# F! z$ D' E6 F% J2 @
for j=1:n% J! f: E' q( m7 v/ j! k2 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)));: Z$ S g8 d( S" ~
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)));
# \. S K9 p0 j1 K' C- C h end# M* Z. U3 `( n _9 F& v- D3 S; K! S
end7 ?' p" L7 i% p3 F& o
end& s' m0 J3 h3 Q7 }" M1 N% Q
OrgS3 W2 x; B3 P" y& |3 K
%创建PVU 用于存储PV节点的初始电压1 [7 a2 o7 Z; l2 W( w
PVU=zeros(n-h-1,1);
* }( I: n; u5 C& ct=0;
* a2 a/ y: \! z# Sfor i=1:n5 v }/ \% x$ a# Z: X$ d) T
if B2(i,6)==3$ ^# v/ v! F! h0 l% `2 K/ C u
t=t+1; B7 c- M# w3 W% r& S( ^/ }7 ?
PVU(t,1)=B2(i,3);
- k7 y( p+ v' I" G- C end
6 Q: G- b$ `9 G* a2 f8 `end% u& M4 |4 p) U: e. [2 I$ Z
PVU# j/ I1 t- x5 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
5 Q. q3 u2 ]7 V' Sh=0;/ T" V. Y# p6 s# d# E8 C
for i=1:n %对PQ节点的处理; W3 V, E) R' J- j2 ?6 j7 m
if i~=isb&B2(i,6)==2
: U1 Y9 c3 S! q$ ^6 Q; j, @' F7 f# F h=h+1;
8 e2 Q6 p4 F9 G2 `) P1 Y; L DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);# b, p; D# i/ s7 f, U0 Z: K
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);
: e* e4 v) R; { end
2 C- Z, [ Y, G+ Xend
8 W! a3 ^2 W% e' Ht=0;
* ]6 J6 u( _4 ? S8 F, Kfor i=1:n %对PV节点的处理，注意这时不可再将h初始化为0. V' r5 i3 a/ A2 ^
if i~=isb&B2(i,6)==3
! Z' @' n) _1 q7 W h=h+1;+ l2 \) I- i e' N6 G( H5 h0 E# @
t=t+1;% ~$ J0 i' l" O2 F
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
2 K1 X# U% J7 e) P O% `) U DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;: _$ |- s+ w; K0 m8 S" O3 i
end h" a+ n' m( n3 b
end
9 f& b6 ] `3 R" m) F/ u) b5 jDetaS
$ v$ b" G8 U' Q2 m% F8 j d%创建I，用于存储节点电流参数7 x+ y/ k' e9 I/ b
i=zeros(n-1,1);
8 b7 c+ |3 O' o: D4 U$ A" D8 E# _h=0;
9 p7 H7 L4 A8 Gfor i=1:n) O- v7 a$ z; F
if i~=isb1 a* v* C! E- F# ?. f
h=h+1;3 @2 `, _$ h) u' L6 B7 e; N% E8 E
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));
* d6 F2 p( u0 g end
T2 K) p0 r/ P+ d" }end
1 P6 ?- g1 c5 I( d& k& ]I' T" k9 O- h* B, ~! v4 N; |
%创建Jacbi(雅可比矩阵)
. } q) P1 B7 T5 B7 Z9 gJacbi=zeros(2*n-2);
+ O* d, ~2 L( K$ J8 Z+ r3 `h=0;
* o- ~' p* b& V5 dk=0;2 X8 R2 Z h4 E) q: v/ _
for i=1:n %对PQ节点的处理
+ G+ C/ C. g! R" ?1 _/ {0 A if B2(i,6)==2/ e0 c6 q. h8 {. E4 T
h=h+1;
8 ]# z0 u$ [$ i* ^) _+ V# ]4 K! p for j=1:n
' K+ ~3 Z9 @# U+ k+ q Y if j~=isb
% f4 b! o6 c( E. \' g k=k+1;
( B4 D0 i* @" U+ J4 b if i==j %对角元素的处理: W; S, r7 w1 {/ w
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));- w5 a3 i, z& U4 u2 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));% P9 N% H4 C; i- ?1 ~# X
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));
0 F% j5 k* d! Q* ~ Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));8 c% D8 V9 Z k4 o l1 p
else %非对角元素的处理 u; a' n+ r4 y6 U7 g& l& W6 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 m0 R5 q6 X8 a( ~
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));/ s3 T O/ x4 M6 j7 y' I
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);9 w1 j8 T( }3 T$ ?$ u
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);
) @8 T- x3 F: Q% E end
) l( P( P0 ~5 a4 F) r 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
5 ^0 u$ x% @* H* X; q1 H k=0;
( h2 q$ f/ @( r% t1 A7 R, l end X2 {6 K \; v6 }7 O: { p
end9 u6 ]2 s4 i4 }6 m* n- M' }
end
2 N/ d; M! j+ O end+ H! M& G! N: M r+ R$ W
end
* Q) b% l6 a) y. B; `; u; B9 k$ s' j8 pk=0;
% B! r& M" \7 N% `, x* w! I' C7 ?for i=1:n %对PV节点的处理
1 Y5 V6 l+ _4 S, L; t if B2(i,6)==30 [: h& D8 {9 K' f* D! j
h=h+1;# y0 M8 I* W: u0 J
for j=1:n
* z1 B, ]& E+ l" O5 q. X' Y if j~=isb
1 ]2 x4 C. A( {5 d4 P9 l9 ~ k=k+1;
6 N, S# N! Q" D/ t: T* e4 M4 ~4 g* m if i==j %对角元素的处理! T! K7 N- C8 R8 i4 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));' q& g7 b6 i. Y0 _3 U7 D/ v+ b9 K F
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)); `# r& U b8 X
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
. s; E# {# Y& D$ w1 H3 b Jacbi(2*h,2*k)=2*real(B2(i,3));; J# ^5 Q' o3 r: c3 O
else %非对角元素的处理; x; d5 w% }4 X. O; B& w: C
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
4 x- H- E& @/ O2 ` Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
7 o' m B$ s" p+ m, O/ T Jacbi(2*h,2*k-1)=0;: w! v7 `* o8 G4 [2 l
Jacbi(2*h,2*k)=0;( y# b# F0 |2 R3 A+ x- ^$ ?6 @" N
end
+ L0 m; S: w7 R/ S8 q) H 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$ i3 N9 S8 ]8 ]/ I4 W( S# Q9 J
k=0;
9 h& X0 ~0 x. i" ^ end' }3 D8 T' X* I) u* T
end
1 d. f! n% k( Y7 U( g9 c end7 R; o. h/ z8 W$ |. N D
end6 n$ C4 I) e2 H( B
end. I9 A5 ^0 D: l9 F2 W4 S
Jacbi
/ f; M2 y0 G+ s8 |+ ]%求解修正方程，获取节点电压的不平衡量
: {: v+ ^" q0 c, D2 [DetaU=zeros(2*n-2,1);7 C! t. v8 [. X
DetaU=inv(Jacbi)*DetaS;3 Y8 {# d4 C, B; } M/ x7 { e
DetaU' ~9 u0 j0 t( N
%修正节点电压3 s( d8 u: W/ E& m
j=0;4 ]9 ]) T; E' \8 Y
for i=1:n %对PQ节点处理# _3 M/ U7 E9 t: }
if B2(i,6)==2
9 Q; R' [6 k: z5 t$ k @ j=j+1;0 K: @# n! x! P6 K7 Z& F
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);; Y6 m# o+ |( R5 _
end
" K' F5 h9 [& k9 `/ G! T$ i) K0 {end
' D' _ z2 P+ l. }3 _for i=1:n %对PV节点的处理
- X2 ~* [4 y! b4 @, s6 M( _ if B2(i,6)==3
2 k3 T3 ~: r8 E& m4 ]* p j=j+1;
) V- [/ S% A8 n, d1 P! o2 [ B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);, W/ A s4 ]$ Q/ u
end5 e# E3 W; H" ] m2 N/ K
end% s4 A! x7 D" m; N v! a2 }
B2
% K; d X7 ]4 J/ N* I%开始循环*********************************************************************** z1 b# ~8 r3 `! [' T
while abs(max(DetaU))>pr; _- R; ~5 f2 _$ ~* O; H
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
$ x3 v, f) V& w) N d1 n: O v; R: jh=0;1 Z5 f+ I" ~% V" H Y
j=0;
7 R5 R# X, v; E5 F) l$ O) @for i=1:n% R* G0 z( i8 E' R/ c0 F: u# y
if i~=isb&B2(i,6)==2( g4 q# v/ }% `
h=h+1;+ z( R+ n; W# j7 n
for j=1:n' }4 o5 t! } t" u. M1 \
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)));
, k( ~( Q9 B- F6 E+ q 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)));" \5 m- ?' W' ?2 U% M* O) U
end5 _" W7 F8 F( B
end8 K+ Y1 v$ t6 n& f' T0 |4 Z) T
end
( d5 k( ]/ y7 b5 pfor i=1:n' q K. ` }3 ^: S) Q
if i~=isb&B2(i,6)==3- \# x; k& M$ Y
h=h+1;: h# q# l8 n0 d4 I1 z2 }
for j=1:n3 c: y* ~$ N0 t& b
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 G) d, k0 ?( L% }; i 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)));# f% \( r U3 p) z
end
j5 f2 {8 u: C6 J: [" A end- A2 f& r! [9 S4 r2 V; @
end
7 \! h9 p5 b" L' ROrgS
' m0 f3 R8 F* s& u%创建DetaS) Y( j" r. y: C
h=0;
- e) l' `; @/ Z3 z; K+ zfor i=1:n
6 D$ E5 U8 q Z: R8 F1 b' ?$ }% o" [ if i~=isb&B2(i,6)==2
$ d8 R5 g; D( C5 P7 n; l+ G h=h+1;
: Q9 }; ^: p; A; X% S DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
, b0 s3 N- h$ k0 B DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);
5 c' a% H T8 T2 m9 V end/ T: S/ T& V3 ?8 d. y1 }
end" u. C6 Q- L$ F0 ^4 m' o- D
t=0;
' A5 m- e/ n+ tfor i=1:n
3 x( N( N+ `- P7 `1 h$ O5 c if i~=isb&B2(i,6)==3
/ Y( ?1 ?: O1 x: U1 | h=h+1;
& G" w7 s' l/ F" _2 {+ G" J t=t+1;7 } y0 z& a- [# Q; a4 I# w* a
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
, ~, U) `& x: v) I! G2 D8 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;
6 F# A0 u2 I/ m2 b$ p$ u end
5 S. D2 w8 L7 J5 y! e0 Cend
: ]: ^3 k( C+ @% B3 n& S4 A/ i) cDetaS
# l; i1 u4 [2 f%创建I' G1 F8 F3 o9 e3 ?1 C1 f
i=zeros(n-1,1);
/ c1 t& B, I! {0 X w) n$ x2 `) A# m* ah=0;9 [* z1 [! M6 c$ U; t
for i=1:n
1 d1 e& X5 o8 F, R, k# x if i~=isb
- ]1 B) x4 U+ `5 r% R( \8 h h=h+1;$ o4 @( [6 y! C$ z" V: F" x3 |
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));
, {' ?5 \9 b6 E n- { end9 B! a1 A# A0 O( u% ` c3 G& F
end
9 K% c2 H' f2 FI# b+ s+ T6 G7 h6 U: V( }" y; O
%创建Jacbi7 a: Q, e' Z, M$ W8 Z- _. Z
Jacbi=zeros(2*n-2);' |! B1 [: x( s6 Q7 r$ j2 B
h=0;3 i* m0 P0 b2 ^& }* d
k=0;$ [% a i( y0 D
for i=1:n, ^5 R3 I0 q5 v
if B2(i,6)==22 I: S( U @8 A1 o9 T- G& O
h=h+1;
! f9 [$ M* R5 s3 K9 j for j=1:n
! R) @$ H- a* E if j~=isb4 q( A( H& b* X' @/ K+ e
k=k+1;% w9 F8 c7 H3 a2 _ F- j
if i==j7 V: G0 Y6 d2 Z/ \7 B' x
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));( S9 P, @0 O+ p( p; s
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 L$ D: j' d, l$ ] a
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));
. U' c8 \3 d. p) g$ Y0 z" u. q Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));
& ?& P1 ?8 { d% b# d6 d. t0 }2 B else
2 E( b0 C7 M9 i2 z" b _1 j Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
% q# J5 I- E, ]1 u" d Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));! B1 a z0 V7 h% s' C7 [
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);# u0 G) P/ f, A8 C+ @% L9 C
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);. _' t/ ] |% V6 B" @% @; z8 {
end
# w% W0 Y9 V: i" X3 t/ K+ p1 W if k==(n-1)5 a( Y+ N) i9 @$ e+ Z, @
k=0;; ]1 g. p' `4 V' }' Y9 v8 `
end
! G2 V- F# A) p end, r5 j6 |( j# { y
end
0 n/ e$ i# m A# E; h end$ S. @6 C. ~: k+ d7 Y& ^
end3 V0 ?4 s; S, f0 k# L
k=0;6 R8 s( w O+ k- t
for i=1:n
9 a, k% v' k; E% }+ [- o if B2(i,6)==3
, o# { }. U, C. T; ?. f( j h=h+1;3 ~& J6 t7 l- U7 ~4 i* K) C% D
for j=1:n* g& I6 Y6 B, Y/ ]: ?4 m, _! X+ ?
if j~=isb" k3 `/ \ |) E1 l0 n
k=k+1;
% X0 }+ u ]$ b* d X if i==j
" [7 ~, X/ z" h& D) \ 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));
+ d8 E C7 T# a5 d, C/ G 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 u4 m. l1 C4 ^. X O3 _2 H% x6 v
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
2 t7 T( X% K3 X! [! V Jacbi(2*h,2*k)=2*real(B2(i,3));
: Z' M/ J" |' p! u% l. h' F else: q4 i3 f' k J3 z! U2 v
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
9 ^7 V3 g: P, S& w, C Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));8 }3 w( |0 t2 j
Jacbi(2*h,2*k-1)=0;
% g( ^- X* L# W3 Q) M: u" X Jacbi(2*h,2*k)=0;
- Z% q; e" o# N6 |1 ^3 T end/ b2 c, W/ u$ _
if k==(n-1)
2 M$ @4 u9 l5 a0 R3 R A k=0;% R# ?( b2 U* h9 E
end
" X! B1 R& d( I! y$ B. m end
0 X: L& D5 q5 j& n6 i end( X6 d' |! w* \
end3 _) m1 b6 M3 k- e
end
) N* k9 ]% w8 j& X) U+ p3 t4 }6 ]Jacbi
" I0 O$ x7 Y* t+ LDetaU=zeros(2*n-2,1);
{( s: @% U( t( dDetaU=inv(Jacbi)*DetaS;% n& T: ` z. i! A" y
DetaU1 F) w# y$ E; X8 |+ Z7 j' W3 l8 x
%修正节点电压
( w5 E5 W& J0 O' z: Oj=0; p9 C; Z" k1 S7 G3 j! G a1 f
for i=1:n v2 n! V: ^" i
if B2(i,6)==2
1 Z0 D0 Z% L# }+ R: z! U j=j+1;! Y& N3 \3 k5 Z" J
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);" X1 R5 [; Q5 e0 P% ?) B2 p( n
end
, P0 v' G7 H h0 z& h. {end
! M* O$ ~2 ]. E- O+ V Ofor i=1:n
9 \+ r: Q3 \, w if B2(i,6)==3
7 s f8 N9 f' o8 L j=j+1;
1 { U$ Y* }8 {% T- T$ N B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);, i6 i0 t' }+ J! M, b: q
end& u( r) `; r' i0 L+ g, ~
end
$ Q- ~. ?, q# k# OB23 `" b M% J4 b% U, u
Times=Times+1; %迭代次数加1- R, M5 P/ [0 Y$ q; l8 @
end
0 v2 d3 M4 p3 mTimes4 h6 H! ]6 \/ B: U) h T
% z3 G" R: g( E9 I* |9 e8 V一个原始数据的例子
3 c7 E- h& W( D* V+ d节点数 57 z4 f$ ^! u& _, O2 L) m
支路数 5( \8 c2 v+ v3 W/ H3 m# i" o n
平衡节点编号 5
% z' ]% ?* {9 H# X2 ?精度pr 0.000001' N) b* @. s, c, |
B1(支路参数矩阵)2 h* B, E1 D) P0 Y7 ^; Q
[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]( @0 Z' w9 ^8 a# v$ f; T% K7 ]
B2(节点参数矩阵)' r3 o/ ~0 D4 o3 h* ^1 c7 \
[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]5 x( T4 |- W0 W2 q& Q$ ]: _( M5 r$ j
X(节点号和对地参数)
0 e* Q @6 O$ `. q% Y[1 0;2 0;3 0;4 0;5 0] |
赣公网安备36040302000210号 )|网站地图
狗仔卡
发表于 2010-5-20 10:41:46
提升卡
置顶卡
沉默卡
喧嚣卡
变色卡
显身卡
