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各位~~我根据下图的一个系统用MATLAB编写了一段程序,是电流型前推回代法的三相配电系统潮流计算,但是现在结果不是我想要的,不收敛。请各位帮我看一下,提提建议。图片见附件了。还有个问题:已知的线路都是三相对称线路的阻抗值,那么线路的阻抗矩阵中的互阻抗应该如何计算,是什么样的形式,应用怎样的公式?这里我不是很清楚。- %程序名:qiantuihuitui_I_3.m $ ]9 [8 f7 L/ U
- %功能:支路电流前推回推法求解潮流
! s" Q1 \4 \, n7 w - clc ; j% b6 e1 J6 |# } e! g
- clear all; $ h4 B9 C3 T' d5 I% |9 r r# g9 m
- %--------------输入网络参数--------------
) t, g; V( U. z5 p( X - %1-支路编号,2-首节点,3-尾节点,4-自阻抗,5-尾节点复功率,6-支路性质(1-馈线段支路,2-变压器支路),7-尾节点是否带负荷
' `! l4 p" ]: W2 B8 ^, Z( u: K - DB=[1 1 2 0.000167+j*0.000208 0.42+j*0.31 1 1
0 | p$ C- q5 K- a; h - 2 2 3 0.000151+j*0.000188 6.15 1 09 @0 e2 l. e- h3 \7 x2 r
- 3 2 4 0.000066+j*0.000082 0.38+j*0.29 1 1
8 E+ o+ D- S9 Q7 K% t# s6 q - 4 2 5 0.000249+j*0.000310 0 1 0
( F9 L0 {# t# u1 ~: a - 5 2 6 0.000172+j*0.000215 0 1 0: V* {; A# C5 ~
- 6 4 7 0.000156+j*0.000195 6.06 1 0" J' @" J( A4 P: ~( u) |6 C
- 7 4 8 0.000162+j*0.000202 6.04 1 0
: r; b/ v0 b2 y$ Z& n - 8 4 9 0.000345+j*0.000430 0 1 0
- T3 v" V* \7 r- J - 9 4 10 0.000287+j*0.000358 0 1 0# S0 R4 R& _3 G e
- 10 5 11 0.020563+j*0.321594 0 2 0 / d7 ~, @. ^: O, K) m& E! c
- 11 6 12 0.020563+j*0.321594 0 2 0" v& {% G2 @- V' M7 y4 }& n [
- 12 9 13 0.020563+j*0.321594 0 2 0 % [2 G! J% r" b0 `& t; d* u: M
- 13 10 14 0.020563+j*0.321594 0 2 0
' V7 d8 K& g1 a, { - 14 11 15 0.000237+j*0.000408 5.72+j*0.12 1 1 / o( l$ a& n1 a- L' H, @
- 15 12 16 0.000237+j*0.000408 5.76+j*0.09 1 15 }: a# z3 n2 W, N. t
- 16 13 17 0.000292+j*0.000502 5.86+j*0.11 1 1: u8 ~0 Q# Q0 X
- 17 14 18 0.000274+j*0.000470 5.81+j*0.14 1 1]; ; e4 d P! J0 e9 f5 ^1 k$ o- o
- [n,m]=size(DB); 4 [" X# H0 ] M# b6 y2 ^
- B=[1 sin(2*pi/3)+j*cos(2*pi/3) sin(4*pi/3)+j*cos(4*pi/3)];' j, q. K9 P8 W$ o% O8 H+ H6 `
- C=[1.02 1 1.02 1 1 1 1.02 1.02 1 1 1 1 1 1 1 1 1 1];- n) n. X, `8 k) N/ y
- U(:,1)=B(1,1)*C';6 x) C4 Q, g/ _" T3 b. A: z* \$ H
- U(:,2)=B(1,2)*C';
6 t$ f3 ^, }5 M* K; k* V1 k7 m - U(:,3)=B(1,3)*C';0 Q+ w# p& C% i0 P
- %-------------------求解潮流-----------------
1 F7 u* }6 J: @ - for k=1:15 # |' Q1 N! G7 r5 ~& }- \
- % I(:,k)=((DB(:,5).')*(diag(1./U(:,k))))'; ) n% B, x# D' \+ h- ~
- for i=n:-1:1 5 j6 L2 g2 ~ Z4 B& T2 }8 C# T
- %如果尾节点带恒功率负荷,需计算节点上负荷注入的电流) H9 [6 }; f+ K3 E! M" N; W
- if DB(i,7)==1( {. w2 O8 |/ C" ~
- c=DB(i,5)/3;
2 Z- v2 X* i: ]$ p1 R0 |1 z - d=c/U(i+1,(3*k-2));
, ^+ I9 R# t8 z( _- @. Y - IL(i,3*k-2)=conj(d);! g5 x! P9 P" M5 B; r; R% I" t. ]
- d=c/U(i+1,3*k-1);
5 K& M5 c0 G( n$ ~8 _ - IL(i,3*k-1)=conj(d);6 v1 p, C M8 Q& i' m$ x8 W' K
- d=c/U(i+1,3*k);
7 @+ d5 P6 ]1 v& Z' G$ a - IL(i,3*k)=conj(d);( V' z( U- f& d' m6 f% A8 ~. w
- else
4 a" ]2 C. I3 C9 n - IL(i,3*k-2)=0;' Z; _. ?1 r" O- V& k# Q7 m2 \
- IL(i,3*k-1)=0;0 K2 E7 j& D$ q7 y; ]) J7 F
- IL(i,3*k)=0;! e m2 V% m: ]3 |0 J
- end- g. j0 Q: N% _# M3 ?0 }+ i
- %找出所有与尾节点相连的支路,计算进支电流(末端电流),存IKj
0 D9 G$ }9 P0 [! l; ?8 p; h8 a, Z. w - A=(find(DB(:,2)==(i+1)));7 j4 V4 Q$ a Z C# \
- if isempty(A)~=1" T) `+ S& ]( A
- IKj(i,3*k-2)=IL(i,3*k-2)-sum(IKj(A,3*k-2));
& q& v/ t' e8 n; ^+ ^ - IKj(i,3*k-1)=IL(i,3*k-1)-sum(IKj(A,3*k-1));* q4 d* z5 T4 V* j8 Y5 G7 N
- IKj(i,3*k)=IL(i,3*k)-sum(IKj(A,3*k));- Y+ {4 T+ ~* ~' }, x! x
- else
7 }9 X9 c% l) v l - IKj(i,3*k-2)=IL(i,3*k-2);
, e7 J' r, ~2 b1 V" F - IKj(i,3*k-1)=IL(i,3*k-1); z: [; A/ J! _+ ~
- IKj(i,3*k)=IL(i,3*k);# \; H) P1 H+ C" ?* e% E
- end# n% [$ u% z j4 s1 l
- %计算出支电流(始端电流),存IKi, h0 r/ @+ m3 }
- a=DB(i,2);
( V* d' S" f. t- E6 W( q - b=DB(i,3);
3 C; q( T' W8 h - Yi=1/DB(i,4)*eye(3);1 p" I9 g9 X( S7 Y5 O+ u; U: f8 D
- if DB(A,6)==11 V. m2 ]$ q' p& z6 e
- F=0.5*Yi*[(U(a,3*k-2)+U(b,3*k-2)) (U(a,3*k-1)+U(b,3*k-1)) (U(a,3*k)+U(b,3*k))]'+[IKj(i,3*k-2) IKj(i,3*k-1) IKj(i,3*k)]';
8 w4 o, Y; n. F/ Y - IKi(i,3*k-2)=F(1,1);
% _" U M9 @: s - IKi(i,3*k-1)=F(2,1);
# e6 J ?! A+ }8 O) n7 F - IKi(i,3*k)=F(3,1);) x! Q8 g8 H3 Y) O& r
- else: M+ \: S1 P: M L9 m
- YT=1/real(DB(i,4))+j*(1/imag(DB(i,4)));
" V! H3 Y# y+ W- J! a. J - YI=YT*eye(3);
7 c- W/ U" x5 G4 b% G4 [3 B - YII=YT*eye(3);
4 @% Z* \7 a- x+ O* [ - YIII=-YT*eye(3);
, S' U# Q1 @: J3 M - D=inv(YIII)*(-[IKj(i,3*k-2) IKj(i,3*k-1) IKj(i,3*k)]'-YII*([U(b,3*k-2) U(b,3*k-1) U(b,3*k)]'));
8 n" f" i7 l8 [& @- c n B - U(a,3*k+1)=D(1,1);
( h: }7 z0 v, b$ X8 }% H$ i - U(a,3*k+2)=D(2,1);
w1 F& j/ E1 G5 R2 Y* V - U(a,3*k+3)=D(3,1);
( t8 Y; D! z- j) S7 ?# K* C - E=YI*[U(a,3*k+1) U(a,3*k+2) U(a,3*k+3)]'-YIII*[U(b,3*k-2) U(b,3*k-1) U(b,3*k)]';
# S9 Q: E( ^2 |1 z, Z# o - IKi(i,3*k-2)=E(1,1);, ^ Z; [2 ^9 f5 A5 b6 h! Q
- IKi(i,3*k-1)=E(2,1);0 v* m8 D4 F! D' U. m
- IKi(i,3*k)=E(3,1);$ ~& G2 M& @7 ~# M/ l* q: v
- end 5 Q$ X$ u8 P9 R6 {
- end
. X( J. p7 G4 ]# Z - %前推电压
# z/ G+ t, g4 _: |0 `1 x) k8 T - for j=2:n
% ^7 j6 s9 O3 Q3 \: a. R3 d+ q4 o0 W/ P - U(1,3*k-2)=1.02;/ Z3 t& E- u: ^) a$ N
- U(1,3*k-1)=1.02*(sin(2*pi/3)+j*cos(2*pi/3));$ g' Q% u: d9 h7 y; o' _& y& v6 B
- U(1,3*k)=1.02*(sin(4*pi/3)+j*cos(4*pi/3));
! P* A P! a7 E: i. Q5 p - a=DB(j-1,2);
# a8 P/ ^6 T5 N$ e9 s2 B# ~/ D - if DB(j-1,6)==1
) C+ ~, p+ X) ^ - Yi=1/DB(j-1,4)*eye(3);
: y' R E! c4 p/ ^ - G1=[IKi(a,3*k-2) IKi(a,3*k-1) IKi(a,3*k)]';. H7 Q. ~ s) s# r( Y$ _
- G=[U(a,3*k-2) U(a,3*k-1) U(a,3*k)]'-DB(j-1,4)*eye(3)*(G1-0.5*Yi*[U(a,3*k-2) U(a,3*k-1) U(a,3*k)]');/ ^0 ?3 m; _1 d9 L
- U(j,3*k+1)=G(1,1);
) `! M# f& _% I, h: S- k, A% v - U(j,3*k+2)=G(2,1);
0 Q+ G' ~5 v' h& X1 l - U(j,3*k+3)=G(3,1);
( O+ d+ x& t: s, K8 J+ G% y - else: o/ L1 l$ h% ]# h$ U* L, [1 W9 d) p
- YT=1/real(DB(i,4))+j*(1/imag(DB(i,4)));
+ g* M, `4 m7 {, u) E& W4 G - YI=YT*eye(3);# k2 p8 e8 g* u0 {' _ I; J
- YII=YT*eye(3);* d' U6 c, w& C" Z9 S
- YIII=-YT*eye(3); M; d K* y. q# ^
- H=inv(YIII)*([IKi(a,3*k-2) IKi(a,3*k-1) IKi(a,3*k)]'-YI*[U(a,3*k+1) U(a,3*k+2) U(a,3*k+3)]');
9 O( d) v D6 A' m; j - U(j,3*k+1)=H(1,1);* ~. w7 i; V* y4 e6 v
- U(j,3*k+2)=H(2,1);& f v) }) G/ K- c; o1 u0 \3 E
- U(j,3*k+3)=H(3,1);% Q. ^' V% q. i6 z' E' t
- end 2 Z4 ^' Z# M8 ~2 O6 M5 b
- end
& c' A! b3 _( D: v" F& Z - dU1=U(:,3*k+3)-U(:,3*k);
4 T4 B9 s. m9 v! S V - dU2=U(:,3*k+2)-U(:,3*k-1);
$ k# W- u7 J, @& M0 j8 W- f- c - dU3=U(:,3*k+1)-U(:,3*k-2); # }" m8 q6 _! D! g* R8 H
- if (max(abs(dU1))<0.001&&max(abs(dU2))<0.001&&max(abs(dU2))<0.001)
# J/ C4 a A8 w# L - break; & T; l, J7 E- W3 ^' M t9 E) h: k& P: O
- else
$ b& G# O2 ~4 \: o - k=k+1;
& n8 Q( G" g( U! j% M: j8 A$ y - end
4 ?- `( \6 ^" \# L+ P9 o; E - end
2 G$ D0 P* ?. D7 H - U
1 U, Z# R/ J" ]: z, `7 V2 Y# U4 h - IL
- P* k; K$ d5 ~1 z - IKj
" v: |1 H3 O) h8 J8 ] - IKi1 d2 a+ R5 X7 R* U: g1 X4 W
- k
5 F$ g+ m! x; K5 r
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