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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
2 S, @8 V- a4 c3 J4 }( P基于MATLAB的电力系统潮流计算. V7 _8 L: D, i0 K( f2 s/ T7 S
" b7 |! s% I7 ^* a" f5 G2 }%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：$ M6 I, [5 B2 M, 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
* v& O/ n6 @/ w7 ~4 O5 C%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
3 s% ]4 b3 R& A$ X%编号，将变压器的串联阻抗置于低压侧处理。
" Q; \4 @ ^7 b: F) S& N# |%第三列为支路的串列阻抗参数。8 H2 c% i+ b; u
%第四列为支路的对地导纳参数。
; y9 o! w' w/ |2 Q! ]%第五烈为含变压器支路的变压器的变比
q/ G+ D- W( G2 B1 ~+ M/ 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，
3 w- Y$ u4 V( i: h( f, P%“0”为不含有变压器。3 S9 q6 E6 O$ b1 _1 ^
%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3 P J; E- D4 y7 x. \1 K$ n2 M
%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
+ M' U7 x7 z: y%“1”为平衡节点，“2”为PQ节点，“3”为PV节点参数。
1 ^& b- m+ Q5 f* \5 g
, J9 D0 l+ I9 }! H! O%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
! a) b" w9 D9 H3 a/ j4 Z5 G%参数。" D+ e% u( P, H2 f$ \$ u% c! Z3 F6 I3 L
n=input('请输入节点数:n=');
, S4 Z. ?1 T! S( vn1=input('请输入支路数:n1=');/ W6 U/ Z& p5 m$ B
isb=input('请输入平衡节点号:isb=');0 E0 ?2 B7 k/ Z Z1 M
pr=input('请输入误差精度:pr=');: B3 i* _0 w+ F* j Q+ u
B1=input('请输入支路参数:B1=');: g( J. s7 |+ W' H; D% \0 E
B2=input('请输入节点参数:B2=');
! M. y" M) d4 hX=input('节点号和对地参数:X=');
( S+ @8 N2 H zY=zeros(n);% y+ s* `- ], p/ R
Times=1; %置迭代次数为初始值
2 Z. ]% q% V$ S/ d%创建节点导纳矩阵
5 l d) o+ I9 t' \; s6 D8 U7 \for i=1:n1
% |2 {$ J8 m! }1 [0 X2 ` if B1(i,6)==0 %不含变压器的支路
1 o* S* A( J+ |! m% [ p=B1(i,1);
6 }5 I4 o" \# L q=B1(i,2);0 k# ?" v" x* G2 G5 G9 ?
Y(p,q)=Y(p,q)-1/B1(i,3);$ k8 `; }5 D& ]( y
Y(q,p)=Y(p,q);
$ V5 [; E& h! p$ t- w# s Y(p,p)=Y(p,p)+1/B1(i,3)+0.5*B1(i,4);
! M1 Z- ^! [! T6 ?3 s9 K# P Y(q,q)=Y(q,q)+1/B1(i,3)+0.5*B1(i,4);
) B& ?: h+ s% x; w else %含有变压器的支路
8 y2 m! m( }& i2 K- Y0 @ p=B1(i,1);
1 S" F& l: M/ D$ W) n q=B1(i,2);
& v% x% t: q5 C Y(p,q)=Y(p,q)-1/(B1(i,3)*B1(i,5));
- R% n/ W/ `: C2 h/ d: X3 Q4 O/ ] Y(q,p)=Y(p,q); J( u+ C7 ]* `
Y(p,p)=Y(p,p)+1/B1(i,3);1 B2 j+ |) k6 X+ b
Y(q,q)=Y(q,q)+1/(B1(i,5)^2*B1(i,3));
- {2 D- T; a3 M1 q end5 R) B( M( @. U: ]4 [; d! p& q
end
, O% a' C$ K8 A) IY; J4 H( }6 Q: y, C5 T+ r
OrgS=zeros(2*n-2,1);+ D0 |0 ?; S' f c: Y* i
DetaS=zeros(2*n-2,1); %将OrgS、DetaS初始化& j+ ^5 |7 y% g
%创建OrgS，用于存储初始功率参数
1 s% v9 z5 C& i$ P2 O2 xh=0;
9 Q5 x$ i3 X5 `, K; ej=0;) H/ m7 q$ X- t w" d
for i=1:n %对PQ节点的处理
! a$ _' `2 h: \0 f( C6 T if i~=isb&B2(i,6)==2
, n+ ?/ q) d( H& c& q2 `2 n h=h+1;0 n; p* [5 F! x6 t$ N2 b& P% y
for j=1:n
3 x- M Y2 h% Z- [7 V9 j+ \& ]% T- {9 d 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 }- K. h- S. h% n1 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)));
6 F5 D4 r. V4 p& p end3 u/ E& L1 L+ m9 a# o
end
; w. Y5 {: m% I& R, n0 cend
( a0 s! ]2 f- Z1 Y, zfor i=1:n %对PV节点的处理，注意这时不可再将h初始化为0& A3 N, ^3 }, n9 ~) x) x
if i~=isb&B2(i,6)==3+ d2 Y% g" O( ]! g1 S# ]$ _ t
h=h+1;1 C% h8 F2 `2 I+ v# l
for j=1:n, }) V3 h2 U$ S2 M2 R5 w; g
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)));
& s3 {( z1 Q9 n1 j# y9 B! P! k 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)));
% w% ^9 D# E: L6 V( K+ J9 _ end; \9 f- D0 ?; ?
end" j1 S2 O$ ~6 d* A
end/ a' d! n# B3 r' e
OrgS/ }3 T5 ?+ J. D3 F
%创建PVU 用于存储PV节点的初始电压/ |3 J$ Z; Z, z4 q9 x! I% d! r
PVU=zeros(n-h-1,1);
, l4 f7 t5 \% @, t1 G% f3 h) ut=0;; d: U+ O/ V' A; a
for i=1:n7 i+ X4 N8 X, L+ O8 K) P
if B2(i,6)==3
, x) p6 M# C$ B; r0 B5 `7 @# a t=t+1;7 X/ X6 c* c; _2 w0 b2 {
PVU(t,1)=B2(i,3);
- g9 [9 P% E8 @' X* H/ S7 O4 i end
' d- D% t' T9 e& b3 C( h7 Rend5 P3 x" ]: T/ ^) L& t0 V6 {
PVU9 A& ?7 s- f. B& H# c, |4 _
%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 B6 a6 V! S$ I! K4 ?+ h0 j
h=0;! D2 v' E6 p# l2 L
for i=1:n %对PQ节点的处理) S; m7 Z" W j
if i~=isb&B2(i,6)==2
' U# T3 b8 S+ [) F o; ` h=h+1;
/ t: S/ }" i. {" Y( Y% k9 u DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);& c, W$ v3 n- M
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);5 l. q3 t/ k3 t- Z& I
end- C7 Q; \" Q" L1 G6 o( I- O: \! q
end
: p8 d8 G8 z, _8 ^) U+ J1 {t=0;9 C2 E' x; Q8 a2 i5 |6 \0 G' u
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
8 Y# E+ W" t. \% p9 B1 x if i~=isb&B2(i,6)==3 `/ V" W- ~8 r) X `
h=h+1;
8 w9 A1 e) l6 x* @5 u0 n t=t+1;
$ L) K* s# I& m' b0 X5 @" h DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
2 t: e5 Z0 [3 E, Z- I/ M/ 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;
$ b5 j: X; N3 T! f end( A/ Z8 ~# K: V+ j& |: }* m
end M: V4 n4 n8 H; [7 N6 G
DetaS" s& N4 d/ k0 S9 A
%创建I，用于存储节点电流参数% W$ f9 x) d8 x' h' N1 x) Q% h
i=zeros(n-1,1); h+ a6 Q C/ U9 {: D
h=0;
* L: r) L0 X) n, n, G1 P; _6 Y$ Mfor i=1:n1 H3 V+ i* I2 Q* c8 z. v8 n! }
if i~=isb- j. [! d/ [% }! K5 T% S
h=h+1;
7 Y7 O1 @+ N. G, V0 k3 U+ l, b. q I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));
* g2 t/ K3 {% _& A# Y end% X1 u3 S P( U9 {/ s3 h
end1 A, Z @7 ^6 d: u7 E. p1 r5 q
I
" N6 Z3 J( \7 I' f- W%创建Jacbi(雅可比矩阵): G- B& K1 `% ~; E, U8 A4 U: Y
Jacbi=zeros(2*n-2);
" }( ~8 z; ]- g: th=0;4 w5 C5 O1 \+ ?, l: m3 l3 e; J9 d
k=0;; X- \* t/ d; j, A
for i=1:n %对PQ节点的处理( n$ b) o3 h& W) l
if B2(i,6)==2) P1 M1 J: C& W; L$ M
h=h+1;. a+ F( e. \6 o
for j=1:n
) [6 H$ ^0 t4 M! H' W8 G" \4 X if j~=isb6 T1 D. w3 P1 u K/ s$ [- R2 C# `4 ]
k=k+1;% |9 L9 d+ F* _( W4 ~- K Q
if i==j %对角元素的处理3 y% U- P' ^. U0 v1 M- q" q6 U) |; N ~
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+ I( {6 Q2 `5 |/ c0 y9 u' f! @ l 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));
0 E5 _& u* M8 ?0 Y" d Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));
4 k% h% @9 }4 e3 T: [* h, g Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));% ]' R/ G2 x0 r
else %非对角元素的处理
+ f6 h4 A$ x" F% Q Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
1 B# x% V: M3 c0 f: ^ Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
6 X4 @% O4 F4 n Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);
% P% c4 e2 D# a" g Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);5 \5 o- h# G8 d- D' e: I
end4 t3 n7 p5 _5 s: |( w& m* 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, y/ D" q6 D. f7 Y
k=0;
' w& N \9 l* B; E8 i) N: K* ]( n end
3 o; e# B x+ o8 C! t end
; B q6 x% J. } n! M1 C end5 h" u4 x$ ^* I; p
end
, p. B4 }% J5 ^end
( Z, e9 m5 I, H3 Q% j8 Ck=0;, H5 a# L' B3 ?# W2 ]
for i=1:n %对PV节点的处理3 d& G+ `# R: ^
if B2(i,6)==3$ q$ \+ H# T% {8 x$ q
h=h+1;& ^) C- |* m% u+ m0 G% _
for j=1:n2 u( O. {2 D6 P' r+ k+ L
if j~=isb: a! c; M1 M4 A8 V3 J# Y0 v- Y
k=k+1;
# K4 R; J, } |) o5 V if i==j %对角元素的处理$ g1 @( d& W2 E* g
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));. v& ]8 N6 P/ G2 }; 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));3 @, C* _- S) Q- v6 L2 Q z, Q
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
' M& f& E# _: C9 d Jacbi(2*h,2*k)=2*real(B2(i,3));9 _+ F2 f5 u/ Y9 d# y
else %非对角元素的处理' F. G4 S, z2 l. v. c
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));% \: \2 R( @; B( K# \6 F( a4 n
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));4 }/ ^. [3 |7 s% h$ B
Jacbi(2*h,2*k-1)=0;7 `$ h, s2 ]; g; [. ]2 u- y7 p& C
Jacbi(2*h,2*k)=0;% X o/ U8 w, I9 V' ?7 U' n
end3 Q: B! P" j @
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 F: C1 o* j3 `1 G. d1 ? k=0;( d4 u+ ]) S! z! K5 ~% U" n& z4 m( U
end
5 N2 |4 U& o* b' ^0 m! \/ K9 x end
& I a/ ?2 S! z. x end9 _ E$ d) Q. ? ^+ _3 D" ^% X% G n
end
. O1 U" l' d. @9 hend
5 M: H6 |% l: y6 [Jacbi
: i1 A; z% M4 U# w8 P2 n2 d8 K%求解修正方程，获取节点电压的不平衡量
/ _/ E' {, m) a4 w. zDetaU=zeros(2*n-2,1);
" C- g2 t3 {# ^8 PDetaU=inv(Jacbi)*DetaS;( |* o) @; ?% a8 X M" H$ Y1 o
DetaU. b0 |" t( l5 F- b# C
%修正节点电压
) c+ z/ M: \# e" x% @4 P4 |j=0;
" |. j# @& G7 a v) h# O% ^1 P& b. l$ {for i=1:n %对PQ节点处理
H" q3 Z1 R6 B& Y. m if B2(i,6)==2
2 o& T; B U7 t4 q j=j+1;
) u5 B3 S: a4 T( B4 {; J B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);( n- R! f2 l. \% Z7 U& y9 Z
end
% u! d, @; i+ O1 A# l# ]end
7 b# r/ e6 m: i) r) O Kfor i=1:n %对PV节点的处理
2 I* Q8 a! o3 o: X if B2(i,6)==3
2 }. o+ F9 {- s4 i9 J. x j=j+1;0 O% y( k+ f/ @7 I7 X8 W# y
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);+ h( m" F, p* ]! \8 ?/ M
end
9 `2 d5 O0 v) @7 kend
4 a2 V B* ^$ ^6 FB25 ?, L5 q- A# B& g9 G- _% O9 \
%开始循环**********************************************************************9 }1 z8 h' ~+ {5 V& j
while abs(max(DetaU))>pr
; _* ]) @' C+ T5 `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0 X9 J* J) M5 M& D p- m
h=0;" [, `$ q5 W2 @9 D& N# Z1 _8 _
j=0;
3 F3 ^$ R% a. \, sfor i=1:n: {7 Y4 {$ q3 L4 J h3 [$ T- j! Y
if i~=isb&B2(i,6)==2! X2 s ?2 H6 m6 _
h=h+1;
' Y2 v. P; f3 t1 X, I% d for j=1:n
8 i8 `' F5 p: L* H7 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)));
& h8 P, n! |4 F& H* m 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 |6 U5 h& x4 X) ^9 \" f& e% ?( X& U
end
4 s* A; w; O- ? end# u; S2 Q$ _/ e! V4 ?
end7 T3 `. R! q; ~
for i=1:n
6 p4 k2 [1 D: e7 B5 A; V if i~=isb&B2(i,6)==3! ?2 J _% M2 \4 k' Q
h=h+1;
4 \& C! b& ~) H! G1 J+ R( D for j=1:n$ o9 y Y7 Z2 { N0 k: X4 n: u/ u
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 F; U& q; \$ w7 n8 t0 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)));" o# g, d, Q1 Q6 m5 K1 z$ |
end. {! J7 ~7 p1 Y- i1 y/ n+ R7 p
end
4 @0 b& D2 [2 i$ ~end1 C" P; |& N' Y
OrgS
4 Y9 \- P! [8 B5 ^& G%创建DetaS
$ P3 p# d5 t! l% ph=0; L+ p. w) e* c: y& d& u% t" r6 F
for i=1:n8 {; q8 |& X( v
if i~=isb&B2(i,6)==2
- b7 v! }. m; Y, z0 K h=h+1;
9 R' D8 K5 R- S' c, c3 j DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);1 U ~% H5 `, c9 N: m% u
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);
" p2 o. P/ Q! `3 d# W/ U5 F, Z; J: w end: d: m( h9 G6 m6 d) O- O
end6 M- u8 x0 K; H: v( z) R
t=0;* T) r' M4 @" P j1 J& L
for i=1:n
, M# d4 C c! r+ N if i~=isb&B2(i,6)==3
% V. {1 \7 s+ I) z8 m4 ` h=h+1;
/ S. p0 v* z4 M$ m8 U; {1 @ t=t+1;, P# z- q3 `; Z6 N8 P0 O: k* O
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);6 m! t- ~4 j3 O% v6 m7 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 [' b- r3 U$ o$ h* d; X
end" V# |! w. v E7 b* d% m" F& I3 B- G
end+ I" `" h% `9 w7 t
DetaS
0 G o. C/ o4 j%创建I) Z! d/ m' ~* w1 V9 h$ P
i=zeros(n-1,1);3 z, i) v) B# f6 k6 {5 Z4 j
h=0;
$ m! }( b& T; }! Nfor i=1:n6 ?9 U- Z% [9 i- U6 m
if i~=isb
. @2 ^8 c& C) W" ] h=h+1;
$ n: z/ p. {$ M. e I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));
4 ^. Q0 s/ X' y$ B; I end" j/ ^$ {( y( W- _5 n
end
6 i6 t2 m r/ p$ hI$ o! ?8 [4 z( h4 F' c9 H
%创建Jacbi
4 t$ F5 v! h2 ?4 E2 d" AJacbi=zeros(2*n-2);
6 _6 X, Y& f) `. _4 v+ Z6 D$ \h=0;
& s4 s5 m0 f! ?; w7 t* L0 Pk=0;3 `0 b/ h& G' Z. ]1 |2 r
for i=1:n7 O- `2 O; ?' D2 @
if B2(i,6)==2' s F0 o( U: _2 `0 |
h=h+1;0 G, o8 G* T0 P4 N' u
for j=1:n
0 l5 e; c5 n! R3 Y' l5 \1 h if j~=isb! Z4 c% G* S Z5 i$ t3 z
k=k+1;
, y# b) ~2 z5 t1 S4 m1 a if i==j+ Y. n. q! t m& C" y8 ~, M P! 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));2 W3 T) r' h' N# \
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));9 T- |& j) U7 S0 ]' p$ b1 N1 O
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));/ d2 M, o# k6 J+ k
Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));$ J2 v- t% G- i# a6 B6 \
else
7 d: r y6 h0 E9 Q( `$ ` Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));6 h+ Z& \0 N) [
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));% K" E. K: l! B! @( G7 D
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);
+ S. T& d7 R+ y Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);
( ^) E o5 i# w+ {# R end
2 W1 C& d4 z% L1 Q" T if k==(n-1)
7 z7 |; K+ D! i" C" u k=0;
* p1 [7 O" W4 _ h end
0 k% v& q5 e/ B end" @" A& N0 i' {; `
end
^3 _. {, P% V. e end
" n% u* h, S! a" o' m, O, L7 hend: } `* h# O2 g, ^: ^
k=0;
. \. N. y% Y* h. @8 Rfor i=1:n
9 K1 Q6 C6 A( e" q% D) K if B2(i,6)==3
3 ]* x* W. l V/ U3 M C& L7 c0 k h=h+1;8 ~$ u0 ~, [- |1 w
for j=1:n% L0 I6 b' V# Q" \. [5 i! x
if j~=isb! L2 F+ q% z( L$ ?- d; c
k=k+1;# R; z; X ]0 y0 v6 P1 U$ h
if i==j( O+ d- C; o' C4 w5 n) b- k( z
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));. A& ^' ~6 U# s; k# ^
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));3 r, b8 w" d8 n1 c9 P
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
0 ~( P6 m j h3 ]1 ?" ?& H4 X Jacbi(2*h,2*k)=2*real(B2(i,3));
! w% \9 x" }9 }* ?7 }6 B( T else$ e( ?5 }# b% c7 z/ y
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
% J8 {+ ~# h7 r) m8 x Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
) n3 A8 P0 }0 w% v) j7 P Jacbi(2*h,2*k-1)=0;2 [: p% A+ w) o; f" O
Jacbi(2*h,2*k)=0;
5 l O$ O9 L- c& L end
, q7 s( p; F# Q- F1 Q" C) R if k==(n-1)8 v# a$ K+ O( o0 t
k=0;' E' `+ R" s* ?) f
end. `$ a3 e+ G- l
end
: D4 c% O: w+ N$ W- \: U q end
! [' a2 [4 b; w' @/ h+ A0 g6 K, v end
0 F. b q4 i2 p! g E u- Qend
$ S/ b9 q$ D7 `9 ]: HJacbi
! q; E3 V [) e' O9 r5 b' `; V4 o8 JDetaU=zeros(2*n-2,1);, A0 G$ S; p; {6 ]; Z% J
DetaU=inv(Jacbi)*DetaS;
% X) i& _8 i1 H7 e& q' dDetaU
1 D Q" U2 H& \+ F6 ~8 C%修正节点电压9 K! ~8 q. d5 V/ [4 T
j=0;" E& [" p4 V9 _: ?3 Q
for i=1:n
$ `! Y% K# Z: w! o H/ R6 n if B2(i,6)==2
# [& C/ X' C8 ?3 v$ M3 a j=j+1;0 \. P/ f* s. ~+ @: Z
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);# } n% K) P1 n
end
, H: i8 e" r: K2 x2 z, aend
i7 X' U7 u: y2 N( @. A" U9 Hfor i=1:n
! p' Q& G3 |9 z( a% U N/ { if B2(i,6)==3
1 I! N: w5 Z$ S7 W j=j+1;
2 O9 e% C' J7 J* v) `& Z! _ B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);* u0 S# O6 {& e' E2 W
end( ?# l- p9 c4 c' _8 b4 O$ I
end2 ^$ c# Z+ h0 J9 |9 Z/ ]- R5 h
B2
# J7 _0 z/ _9 \( x% ^Times=Times+1; %迭代次数加1( ]9 R5 h- U) ~2 L
end* m* e" ]6 Z; ^7 V- Q" M( y
Times
- G' P v; l( ?1 W7 T2 |; @) \" k+ Q" K5 V# h9 l% t1 H
一个原始数据的例子6 I6 I2 {0 A8 `
节点数 5
' e, \ @% b+ ?8 U4 M1 e支路数 59 }4 H- ], d$ a) X# T
平衡节点编号 50 S9 h" w% m1 R+ _; p R
精度pr 0.0000015 |* Y3 d4 D( x9 R5 M* I
B1(支路参数矩阵)
: \7 ~! O" a1 L9 a$ Z7 M( Y+ S[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]; A! f M; a; f
B2(节点参数矩阵)5 J) |- j" u% ]4 v9 V
[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]' T; m& T! Q N# a% K) h2 |
X(节点号和对地参数): X; s, G) D; ` u/ ^9 G1 J
[1 0;2 0;3 0;4 0;5 0] |
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