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7 [8 y3 b/ @2 T; [基于MATLAB的电力系统潮流计算
: Q2 @; f% n) l) y4 X
7 I3 A* H/ P& \) C! j# S 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：& D( `; u; y# I
%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) B/ l# a, f( P E) V6 |
%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 M) Z# }$ w! ]7 |& w/ V. @6 c
%编号，将变压器的串联阻抗置于低压侧处理。2 J! y7 {1 n. P( @
%第三列为支路的串列阻抗参数。6 |0 v- f* t8 c% `; O9 n) c+ W
%第四列为支路的对地导纳参数。# I2 d' ~2 [' j' v
%第五烈为含变压器支路的变压器的变比2 o- v- H5 ~, 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，
. I+ E* v: {7 e%“0”为不含有变压器。1 `" ]/ B& U8 _. V @8 K
%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 E: u/ X; a: y7 t%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! l5 k% u, P& K2 ]: ?" u% o
%“1”为平衡节点，“2”为PQ节点，“3”为PV节点参数。. o2 D: y' s5 p0 v
* Z/ n* C+ N$ N8 p. j5 b
%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# W6 B b/ M%参数。 e. y* Z+ ^( \3 o7 j" V
n=input('请输入节点数:n=');8 j( v/ m. t, o3 U, b$ f
n1=input('请输入支路数:n1=');
5 f X, v- k( R/ q/ s1 d# Z# sisb=input('请输入平衡节点号:isb=');
4 c8 L* y( ^: p% C8 L3 Kpr=input('请输入误差精度:pr=');. O) J" g% K" J2 X" @4 c5 I
B1=input('请输入支路参数:B1=');
! G$ V$ ?% ]' C( c: j8 \6 ?B2=input('请输入节点参数:B2=');
; f- \$ ~$ l0 ^/ G/ hX=input('节点号和对地参数:X=');
4 j0 G. ~' z+ E- R3 y Q9 LY=zeros(n);* L: Z6 m6 q2 P/ L0 i! N
Times=1; %置迭代次数为初始值
0 M' R9 l% a+ Q' ^8 |%创建节点导纳矩阵
5 l3 ?& v& ]6 j1 Dfor i=1:n1, f1 ?. }& K( L) W `+ R' ~
if B1(i,6)==0 %不含变压器的支路+ I4 i; }2 \9 D+ P
p=B1(i,1);& p% g. A2 A7 P" O* J& e
q=B1(i,2);
! j+ t, K& ~- q9 T) u, u Y(p,q)=Y(p,q)-1/B1(i,3);
& C0 i4 h1 D* W; a: H6 [/ B" e# O) \ Y(q,p)=Y(p,q);
0 P/ J0 q f. x& V0 Q) H$ w Y(p,p)=Y(p,p)+1/B1(i,3)+0.5*B1(i,4);6 Y. i& _% a7 `" n/ l
Y(q,q)=Y(q,q)+1/B1(i,3)+0.5*B1(i,4);
( y# _, u) ^. Q( Y# ~8 ? else %含有变压器的支路
/ U) r. `- [* Z p=B1(i,1);9 k+ L/ M8 `, ]/ E7 u- \- k. N
q=B1(i,2);
- E2 B7 ^) Y9 b5 r. }6 Q5 M9 | Y(p,q)=Y(p,q)-1/(B1(i,3)*B1(i,5));. f% @: K' [6 C1 \
Y(q,p)=Y(p,q);7 P8 c% R& U* E" t; N
Y(p,p)=Y(p,p)+1/B1(i,3);
" A4 U5 |0 F6 ^' G. {% c Y(q,q)=Y(q,q)+1/(B1(i,5)^2*B1(i,3));
0 y7 W2 i$ M- o1 [ end
$ b6 E$ @" w" @3 g1 R' ?end w4 S$ V) Q x! A) u- B
Y# N2 [0 ^4 n4 z1 M
OrgS=zeros(2*n-2,1);
4 \1 N" ~9 U. E s2 O2 B0 |: WDetaS=zeros(2*n-2,1); %将OrgS、DetaS初始化# c' H) [" u! k7 X+ |- j$ Z% H5 k1 _
%创建OrgS，用于存储初始功率参数* [: e6 j8 }4 g6 O
h=0;- b9 L- P, k3 ~6 i! Y' c
j=0;% Y( ^/ D# D* z# G, N
for i=1:n %对PQ节点的处理$ p+ m- _" U9 L8 D$ h0 ^
if i~=isb&B2(i,6)==2
3 P8 c- t% \0 L! ~# U4 b/ s h=h+1;& y: j! J. Y4 O2 L: Z
for j=1:n- ~, H* g' F; ?% g. j
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 B( k! d7 Y' M' U, j3 E; D" ~" r
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 h' r6 f6 B$ z$ }; B1 ^1 o
end
4 i$ r5 L: l" u+ ]5 [7 t% Q6 P( S) b end+ I1 [! ^5 I* }5 f$ y
end- o! `+ V$ I5 J" s1 e
for i=1:n %对PV节点的处理，注意这时不可再将h初始化为00 m6 R6 p: l( b# R0 h
if i~=isb&B2(i,6)==3/ |, `2 W. M& C' z( B+ y
h=h+1;9 M! v: ~! v- [" @- A
for j=1:n8 g0 w; g4 |0 E6 ~
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 R) C8 u7 E9 R% y e" U. 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)));" V$ l; c- l& j. o, k; F
end
) F. ^' C' a' E% p end
1 w9 p$ W/ d" M$ R1 d$ P$ Send2 \6 h" E( U5 e/ q0 S: `! c# l2 {
OrgS. T* u7 ] k1 |5 y. ~; b6 d5 l9 a
%创建PVU 用于存储PV节点的初始电压
; J; B' P; {9 X$ L% w) n! YPVU=zeros(n-h-1,1);1 m* t5 I% u5 s( I) S+ S! _( @
t=0;
) D6 a4 S: Z8 r1 Y8 Rfor i=1:n
; [3 w$ p5 o: s, S) H- | if B2(i,6)==3% p/ g) v9 z) X
t=t+1;
" t0 |4 o( ?/ Q' F5 {6 c PVU(t,1)=B2(i,3);5 x! l8 I, H0 C! Q" }- F
end( O/ x+ ~9 [ z/ s4 U: I7 d$ `: Q
end6 L- e) ^, ~" h
PVU
* c3 f/ S* q& E$ `: M$ 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
9 j# {* {8 E& e& u+ Jh=0;
# s# h( v. D8 g/ x4 V4 `1 z* H- Kfor i=1:n %对PQ节点的处理
+ t' S$ \; F, r y- @" E/ K5 e if i~=isb&B2(i,6)==2: A" W( V- R' p& w; \0 F
h=h+1;8 E( j% R! _% }) x$ H
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);' v6 T, u A9 B) {- Y. }
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);& u$ ?8 O0 J( ~( |
end' c; B/ [1 m& x9 f" j
end
+ D* W4 E5 j' T* mt=0;* D3 @0 X+ u( V8 I
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! z5 O" a% K7 P4 s% }
if i~=isb&B2(i,6)==36 ]% u' f4 r0 w; b0 ]1 o. ]
h=h+1;$ s# Q% n, }# j6 k! c
t=t+1;
3 |1 b& `4 h F- e# f+ Y! M DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);+ N5 D5 ] J" |
DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;/ x$ A7 S S9 R9 n! I
end
9 {7 }1 n+ b, [: k1 _' w" Zend
5 t2 `6 T( d$ T w0 b" PDetaS
$ q; w+ S H0 Y# P" b; u$ b%创建I，用于存储节点电流参数
. N/ i, a) ~- W- Di=zeros(n-1,1);
! a! |: E4 Y7 Qh=0;7 S! X) A! ]% e8 W; W0 i
for i=1:n, q" P+ ]$ q0 X$ ^! y% n ?: Q4 V! l& `
if i~=isb
/ x5 q7 z- Y1 d' g5 T! C h=h+1;' @2 h1 N- b, f% e
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));( u0 J) i5 ^# z; f2 m% C2 a
end, t: j% g; V& S0 B& K" ?1 d
end7 v0 |3 e% u- ^* t; |. w# N
I* E8 P" r& U/ }% R) q2 z
%创建Jacbi(雅可比矩阵)
* q9 B& ]/ A3 w( ~5 \' rJacbi=zeros(2*n-2);2 y% r+ J0 k3 F+ W6 X6 N+ O& T/ L" h
h=0;
9 a$ O; L$ N+ f/ Q8 x& Q# B( yk=0;
" w0 _' T8 `$ Vfor i=1:n %对PQ节点的处理
9 d$ x0 ?4 |2 k U if B2(i,6)==2
0 }& k$ k! g8 ~ g+ J h=h+1;7 z8 e: h4 Y! L4 y2 ?1 I
for j=1:n8 T' c# O- P9 g9 [9 M1 U! c% H) M
if j~=isb: |7 @4 R% g6 W. _3 [6 ]9 {
k=k+1; o5 v7 ~# i2 [5 h( S3 m- J3 W: w
if i==j %对角元素的处理
: k. U- T5 {9 q/ Z) 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));
4 Q/ ]3 T4 G. m- @& 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 [; E) T3 o, j: ?# |6 i
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));
5 v; n- ]' O4 ?# i" e- ?* i; g Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));
$ C# G# ^6 m' F6 j7 H7 @ else %非对角元素的处理
2 {/ F: d% `2 P0 } Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));5 F+ Q Z' |# ^# f9 F
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
! R/ @3 b! k6 H3 V# B Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);
7 B X" A' a" ^4 P, F* J Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);4 Y# d4 H+ `& s/ j% T4 }! M
end9 q* `8 I2 X; E( A9 q7 Y
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
" @ r9 Z% E* }, o1 V% p' P; y k=0;* O. @7 I; h4 K7 N, S& W
end
5 l' @7 N8 q$ }+ @+ k3 o r end/ O P; D! U7 A7 y( x6 }
end3 U0 `: w4 a' s* Q; h9 f5 Y$ N7 p
end
4 i( ?) a1 k3 m8 t2 send) j& `1 F( ^2 c0 g7 P- ^9 ~
k=0;
" X- J5 `* @8 i+ N" S& qfor i=1:n %对PV节点的处理
" M0 t5 }. u' C# Y2 v if B2(i,6)==32 j# t- F |& T; `
h=h+1;# G5 _9 M1 n1 F( K, K" B9 q
for j=1:n* L3 k( _5 k& i0 f
if j~=isb
% r x5 c0 C' L: j. F$ X2 ~ k=k+1;
1 C2 {# z) ~4 q; A4 y' [. O( ~ if i==j %对角元素的处理+ ?1 I5 P+ X5 K: t/ 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));4 `! e9 z2 P, _2 I
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));
- G5 h, }% D+ [7 P% Z3 R$ L( A Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
; q" q( w$ Z! n& p d Jacbi(2*h,2*k)=2*real(B2(i,3));
. ^% s! O4 v% a e9 L& J% f7 ]5 D1 g else %非对角元素的处理7 |' n$ d t8 O v
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));' G C! [% G* a$ ~
Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));
1 q7 U4 _8 G5 i! D# s9 q Jacbi(2*h,2*k-1)=0;
]2 Y Y/ b* G- |: i Jacbi(2*h,2*k)=0;6 _- h2 v1 G; _ |. \3 e
end
1 P5 y, G% Q) B2 a9 g- f+ K5 u, w 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
) a! D$ C4 c( }( D1 r4 P/ u k=0;
8 Q p. x% Z6 K0 \3 v end( K) W' J- { r! V: X* z9 R
end" X" G/ E8 S' Z# C7 q8 B3 |
end9 z0 C, L: t: G7 C# v2 c
end4 e, E0 P4 ~9 v; z) }
end
4 H4 o; J$ O) e' Y% g9 I2 D6 o8 GJacbi
i# m, F! U* {3 i%求解修正方程，获取节点电压的不平衡量
0 D2 C; U$ ^3 d% m6 oDetaU=zeros(2*n-2,1);
' F/ Y) D5 F2 {DetaU=inv(Jacbi)*DetaS;
& I! p6 T6 ?( h% T" V. u3 FDetaU. E6 B4 _9 p6 Q+ t
%修正节点电压
s3 ~9 B. _% b+ z+ Zj=0;$ `9 R w% k: @, V
for i=1:n %对PQ节点处理
" d* @6 ~! t- c" N if B2(i,6)==2
% Y9 q) m+ z; _& U4 W j=j+1;0 S W5 r1 j- A) |
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);
5 L9 M! c/ I# X, m( s0 F end
+ ?$ J% @4 s2 u0 r# {end
2 J8 `6 P3 \" D, F5 ~8 sfor i=1:n %对PV节点的处理3 w/ s/ r4 x5 H5 S" u1 w
if B2(i,6)==3
& u( c+ E! X. s4 J$ @9 K1 {! n5 i j=j+1;6 l/ N ]# q% E4 d) A
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);3 N6 i+ u" `) V+ u( V
end
9 v. Z9 p9 o% @( L6 F+ Lend
( O3 j M$ o# GB2, L: Q* m X6 J# v
%开始循环**********************************************************************8 Q$ `2 Y6 b. N# ~ E" a
while abs(max(DetaU))>pr
) z8 V6 T4 x1 h5 }7 l- T) qOrgS=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
& o% J! Z+ k+ Q& p- [, p; _" F. Ah=0;
& S9 ?6 d3 P# ?8 V8 C/ I, oj=0;
& c, Z" n' x7 J, r1 ?+ x% _3 rfor i=1:n: w6 a: u8 h+ d5 P2 l: {3 R$ a
if i~=isb&B2(i,6)==2
9 n1 @1 Z, j( G. e: u# p h=h+1;
+ o- H% y7 @- R2 t3 i B z for j=1:n
& B5 M" ?! L0 a1 P 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)));8 A7 M7 M; S( L4 K* O, d3 T
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 B2 r) A9 a! h, R% a
end
2 J8 x' E. Y, {9 d( H; A1 C6 y8 S end( W& r, b% Y! l/ I
end" q2 _# X+ w6 i, g* J7 [4 G
for i=1:n
8 I2 E2 `% i8 w. I% h" m4 y if i~=isb&B2(i,6)==36 V; A1 X3 @+ n {) a8 V1 l }* B
h=h+1;% { D% A2 k) K! t. B
for j=1:n' _# U5 Y- D6 B" \" R3 @( y, h
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)));
8 s8 |; y+ N! v! B 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)));
7 [& T% @7 N9 s# @% v end
7 t _! p& {6 ], N |" k end% P- ^+ M7 l: B A: e, b9 u1 i
end# v% x8 Z$ F" K1 P
OrgS( ~ J# c& J' V. f: P' H% w
%创建DetaS
) K/ v* ?2 ?5 C) N, @& z4 ah=0;4 N5 F' p0 ?" \. B; S% }2 _- D Z
for i=1:n
) X; K# I2 [( z if i~=isb&B2(i,6)==2! X1 b+ \- i1 n7 g0 p9 L* P: G" Z
h=h+1;
( ?! J/ G/ n& X DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);& A+ S7 _5 D+ P+ X2 j
DetaS(2*h,1)=imag(B2(i,2))-OrgS(2*h,1);: _: P; }* w( ]
end
6 g) w9 L' O. p/ z) l' pend
; Q" f# ?" V: `% Zt=0;4 H4 y' R& F0 X! j8 u
for i=1:n
0 w: t5 u: ^. R7 _' s$ |7 O5 y( ~ if i~=isb&B2(i,6)==3: J1 m# \; b" p
h=h+1;/ l3 ~, Q! R' f8 X3 q% Z. c, D
t=t+1;; s% j# Q1 g) u- i& s
DetaS(2*h-1,1)=real(B2(i,2))-OrgS(2*h-1,1);
) ~% ]! H% z! K4 E- P3 H/ V4 { I7 C DetaS(2*h,1)=real(PVU(t,1))^2+imag(PVU(t,1))^2-real(B2(i,3))^2-imag(B2(i,3))^2;
5 ?2 S( g. W+ _. e( v end
+ [% @2 Y! J$ c* Send4 m7 y! I$ |/ M/ p9 ~& t
DetaS" n# @! U) v9 \9 @. _+ Q: r
%创建I
7 V+ d7 L h. |8 E7 I) \# \" m: |i=zeros(n-1,1);. d- `/ [+ a% L4 m
h=0;
3 L/ @+ b. o. U/ ]" W' Yfor i=1:n
8 A6 j% ~9 c8 U1 M z0 a) g if i~=isb/ h5 r# |; Q" U& W! w
h=h+1;# d+ L8 P; m+ X+ _- j
I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1))/conj(B2(i,3));1 v0 C7 T2 \* S$ V. Q6 M
end- t# ~/ O) n5 K J4 C. ~3 v
end& d+ Z2 J$ v# T! V% L3 @. n
I* t- ]3 U# n- y2 C
%创建Jacbi( l8 L" K& L; Z
Jacbi=zeros(2*n-2);
( x3 l+ L7 f# _, Fh=0;& {1 P+ [* Q2 t) s
k=0;
' {9 Y6 O$ l; r x7 B+ ]for i=1:n& n. e# v1 @- M% l) Q- }) T
if B2(i,6)==2: h$ S0 o+ E1 g/ u
h=h+1;% P) h* n7 U7 q9 P$ k4 L
for j=1:n
5 e1 L) s2 p% g( @* B, c. L8 M, ~+ T if j~=isb- t# z4 u/ L0 }- `0 K
k=k+1;
3 b" G \( m6 U9 z1 {6 }0 W, ]" o6 w if i==j' @6 v% K0 e/ H, g: u0 [
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));
4 P6 k9 W) Y; V s% o3 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));
4 L+ [3 W r5 V9 f- N- M' s Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1));
2 ~5 P# V) u9 P" F- D Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1));8 A' ]1 H* o% E7 f, P3 J' c) ?8 I
else2 R- h. L$ u4 v0 n2 F
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+ m* ~5 Y: R4 C! K( t' N% Q! } Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));/ ~+ y( H) N9 C1 F }3 m2 i7 i
Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);
$ O* A- j' [" W% s Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);9 ~+ {1 N8 K7 g$ r8 N J& n
end% ~( S5 p! P8 a: ^" @/ ]2 M
if k==(n-1)9 p5 w. d2 D- P0 f, j2 J: Q; L
k=0;
; j, G) X5 F) w. B# W# h end# B) p! z% ?% w6 t
end2 s4 |/ l. C/ r- K( z
end: Z6 ~" k6 E+ t7 k5 V: |' \
end
8 G- V8 W+ F: U. \# W& Jend8 B+ {; P2 O: x, v
k=0;
0 Y9 s C8 g1 W* V8 |) E# ~for i=1:n
" R; U( p7 v5 p8 {' j3 o if B2(i,6)==3
4 t' t# R, |4 I! Y6 c" V7 z( ? h=h+1;
! d$ r$ A/ x. g; u' S! f- k. @! Y for j=1:n
1 n# b) G, j$ Y$ l: d. b+ H if j~=isb. M) ^! t; ^# l. {$ w% j
k=k+1;5 \ S9 e6 H) Y# f3 f6 U( b
if i==j
5 ^! l1 }" A5 Q6 ?4 Y1 j 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));4 C8 Y: b) y! C# P1 r! r+ b
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));7 ]3 f8 v h# s$ Y/ y
Jacbi(2*h,2*k-1)=2*imag(B2(i,3));
7 T/ C7 |7 ~+ ~* D2 v* a" t2 v) P5 J# h Jacbi(2*h,2*k)=2*real(B2(i,3));
, H2 R- X; W; A" |' d7 x& r2 t else( H, D/ ]! b; h, J l \
Jacbi(2*h-1,2*k-1)=-imag(Y(i,j))*real(B2(i,3))+real(Y(i,j))*imag(B2(i,3));
& x4 e! S/ D' x T8 E Jacbi(2*h-1,2*k)=real(Y(i,j))*real(B2(i,3))+imag(Y(i,j))*imag(B2(i,3));) k8 @7 K: N- e, d2 Q
Jacbi(2*h,2*k-1)=0;5 V: N! G5 q2 R; @
Jacbi(2*h,2*k)=0;. p* x4 U8 B b1 y, u4 q, U1 m
end
/ H2 Z0 R! j( l0 d: E if k==(n-1)% s* o% {% L0 l. l) W$ v$ k
k=0;1 P- s. s' T# l0 L
end
, k6 \/ H% k. `5 k ~0 v end
/ Z+ B1 C, Q6 k; B end4 D9 H7 I5 @ @2 s$ p+ E
end
; v$ a4 y" |$ D# \# v* mend
- U# j3 \% u5 i, E/ A7 Z4 eJacbi
y' H9 F7 v% r# {$ bDetaU=zeros(2*n-2,1);- i D# D1 G4 L( v% h
DetaU=inv(Jacbi)*DetaS;
' |* n( W5 s; ^2 G( T7 hDetaU5 [) [2 `0 b1 o5 q; B- I$ }: @
%修正节点电压9 p; W* d2 O7 F2 j- e/ Z
j=0;6 m4 c% Q; {* v* E& m
for i=1:n$ j1 [! e! Z; O7 g
if B2(i,6)==2
3 U4 r) l- z% \) U3 C0 Z1 J j=j+1;* H: U6 H/ C: k8 ?! a8 r
B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);2 }' w- x8 P x' a: G
end
, v) Z }* x; cend+ x, S! o0 y2 ^ K) W
for i=1:n8 R, I- `, X6 e" {: H6 N
if B2(i,6)==3& l" W2 j- F8 i. |5 b
j=j+1;
0 q$ [+ J+ c4 i* E- ^( Z) D' m B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);# j2 J# p- D: Y0 M
end
& L8 B( D$ q5 n+ gend
- e8 G/ u0 {% m$ G( _2 ^B2
$ K) l5 P' s% ]* t- `5 z0 UTimes=Times+1; %迭代次数加16 p( R2 O6 X" R) Z8 f. |6 E7 w
end
5 H$ l: _7 H( G9 DTimes7 }- F5 l1 i$ O+ v& a) Z9 `# [
2 I4 C: f( \; a) \- Z
一个原始数据的例子
0 I/ V5 `" {, M+ d" L: T节点数 51 m% R0 t/ x: x1 h5 x
支路数 5
# k. B9 o' y( X: z& O) b6 w平衡节点编号 5
. e( N3 h3 m2 J" P精度pr 0.0000013 [9 i4 P* U4 c- p
B1(支路参数矩阵)) e# h9 x' a* D. j0 b' O
[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 K; M, [- [# o' L) JB2(节点参数矩阵)
& ?7 k( V# S( x0 r* V* E[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]
/ F5 v1 j2 Q2 G6 d5 I1 \X(节点号和对地参数)% z( v9 ~8 Q9 W+ _' L, p- {
[1 0;2 0;3 0;4 0;5 0] |
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