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[x]=xlsread('pqinput.xls','A2:A2');/ Y& N+ P, A1 z* m7 R
[y]=xlsread('pqinput.xls','B2:B2');
4 D7 z) j; }% K2 ?# w) a5 oe=xlsread('pqinput.xls','B4:B4');9 i: t- @4 g0 @
[point]=xlsread('pqinput.xls','D3:H100');
- Y7 u+ A' \$ d$ d8 p[zhilu]=xlsread('pqinput.xls','J3:R100');. \( B* F8 ~# X& l* f, J1 E- N
TYPE=zeros(x,1);
. K% V# b8 h. F0 Y. K9 tU=zeros(x,1);
/ G( U* ?& T* k5 ]- S' A2 a! wa=zeros(x,1);7 K: }( [) {" X( i- ?
P=zeros(x,1);* h4 {5 M6 d: {$ L
Q=zeros(x,1);
3 q v2 l4 P$ K8 F5 o; BI=zeros(y,1);7 K* p6 L# p7 k. Q4 l) o) N
J=zeros(y,1);8 X @& B+ a9 e4 t
Rij=zeros(y,1);1 l1 w3 k/ u7 D y. F- n- Z" k) ~' R
Xij=zeros(y,1);4 j: r5 u ^ m
Zij=Rij+j*Xij;
% Z" I2 K8 T- [0 a8 V* hY=zeros(x); # o% I2 t Z4 [% {$ U/ z4 A d
G=zeros(x);
1 i9 i4 P- t$ v$ cB=zeros(x);
# f- {9 [1 ~" s8 J4 wB0=zeros(y,1);
, v6 ]/ u1 e' i. ORT=zeros(y,1); L4 P4 N5 ?7 G# s' d
XT=zeros(y,1);$ U7 I" p0 ]# z( C, e$ r
ZT=RT+j*XT;
" H& D' E7 M) f! M: V' H2 oKT=zeros(y,1);
0 T4 K# ~6 Z9 [+ M1 b%------------------------------矩阵赋初值:
3 ~9 q# J7 a/ G2 ^+ zTYPE=point(:,1);
' @. v( U. f1 V% FU=point(:,2);
) R% p) ]& {8 R8 h( X# ga=point(:,3);. D% O/ x$ h/ |1 G" r2 g+ | o% |
P=point(:,4);
6 q5 P# }' G* n* x/ F. g: g. C/ AQ=point(:,5);7 a9 o$ \( K. u! H# u1 \
I=zhilu(:,1);6 ^* b& N' ~; {& G; Y* P% B
J=zhilu(:,2);# p$ J- [( h- z! P; H
Rij=zhilu(:,3);5 n, h" ?5 D- c0 d9 W X5 l6 S! F
Xij=zhilu(:,4);
4 n& |$ U; I) m/ ]Zij=Rij+j*Xij;9 S7 o, k3 H$ ]0 G' A
B0=zhilu(:,5);
" k6 Y4 ~) Z ^RT=zhilu(:,6);
- @; @7 ]* n) v2 RXT=zhilu(:,7);
Z! ?, S* y2 W5 I9 q5 FZT=RT+j*XT;
. W' j7 H5 j& V$ T! u- C% b; {KT=zhilu(:,8);
% Z: a0 i8 P4 [: DW=zhilu(:,9);
4 u: T2 q. v+ r%------------------------------求节点导纳矩阵Y! f7 ~/ `% t* S& A0 {
for m=1:y n8 @# F# v1 v- n {
if KT(m)==0: v6 f- o) s: p- F8 |4 F, P& U
Y(I(m),J(m))=-1/Zij(m);
. S7 z4 p& ~: H: W: Y6 p Y(J(m),I(m))=-1/Zij(m);6 a4 i, `" Y$ a) `1 n
else ' x8 m4 |' f6 ~4 [, K, U
Y(I(m),J(m))=-1/(KT(m)*ZT(m));/ M; [; q# @, n4 ?) J# h0 G) G& D
Y(J(m),I(m))=-1/(KT(m)*ZT(m));
- Q$ I0 K3 d+ k3 x( h& ` end
+ A) A1 C0 y1 _end
4 z; G$ w+ J4 P6 k: A( sfor m=1:x * Y3 x! h1 \$ [( S# ^
for n=1:y
& G/ o( M& @! ?5 P G if KT(n)==0
9 h3 f8 F6 U$ ]/ @$ @2 i if(I(n)==m|J(n)==m), w! i; p: c# d2 N. ]
Y(m,m)=Y(m,m)-Y(I(n),J(n))+j*B0(n)/2;, n& R, U! j7 g6 y0 P
end
& {9 Y6 J2 G0 O7 [% N else
& B/ l+ \9 v8 C" K: G if W==0
F. p: d+ f& y. O# \ if I(n)==m" ]7 U+ h5 w' G8 R- V
Y(m,m)=Y(m,m)-Y(I(n),J(n))+(KT(n)-1)/KT(n)*(1/ZT(n));
" |: G6 k' p( `- f3 t elseif J(n)==m ; j& T! u8 ^: \. w( I I3 M
Y(m,m)=Y(m,m)-Y(I(n),J(n))+(1-KT(n))/(KT(n)^2)*(1/ZT(n));
; x$ F5 Z" B" |/ Y end# G+ Q: M, N" a2 v
else
6 b0 T/ L( [# d$ n( K if I(n)==m
" i j: B5 g1 b5 m5 ~1 l Y(m,m)=Y(m,m)-Y(I(n),J(n))+(1-KT(n))/(KT(n)^2)*(1/ZT(n)); * y3 w- L3 M% y
elseif J(n)==m; V5 ^1 ?% l# t( ?3 V8 ^1 ^ v
Y(m,m)=Y(m,m)-Y(I(n),J(n))+(KT(n)-1)/KT(n)*(1/ZT(n));
' R; x' D" f2 _/ N6 D( P# d else Y(m,m)=Y(m,m);, k2 C6 |) P# J5 `
end+ a- k" a' z. e( Z2 g. ?6 y
end
" s# ?- ^3 _2 b9 r& Y3 D/ M end
* ]% e8 H9 K! ]/ }7 |end
( _/ B3 v4 j; s, N# zend4 k7 r2 U$ J" q. |, G0 h2 x5 {
G=real(Y);
4 b& L; V& m0 c# u" V%-----------------------求B'矩阵及其逆矩阵B1' o" z4 }6 ^7 \/ R/ G# Q; u
B=imag(Y);
! T' b. t# c" d- G- f ph=find(TYPE(:,1)==3);
+ R8 }2 R, |0 S" u- @ BB=B;# W8 e; v3 A3 l5 d8 D3 R8 H# _
BB(:,ph)=[];" Y% }4 I @- N9 g* @5 c# j8 u! b
BB(ph,:)=[];
- l: c3 P5 K2 o6 Q" X B1=BB;
. b0 j* c P4 C9 ?' N+ U ^! z B1=inv(B1);
& B, m3 T* U1 }$ _5 `disp('B矩阵')/ o7 D9 b- z3 L7 Z
disp(BB)5 a( Q" O3 I) q
disp('B逆矩阵')# r% o- Q" ~# D' R
disp(B1)
. A! m6 c. n! c: e %-----------------------%求B''及其逆矩阵B2
3 v3 h* k$ w" F. q/ E$ }phpv=find(TYPE(:,1)>1);0 Y6 `- K) ]$ ~7 ~8 M+ u6 T4 @- y
BB=B; 1 z1 h; \7 B% ]* C" S' k. ^' L
BB(:,phpv)=[];( q: A+ L# C6 V% Y, {: _; R1 b' B! }
BB(phpv,:)=[];9 v {) k/ N% t
B2=BB; 4 J, @" N' P9 }0 S8 p
B2=inv(B2);! R; P7 L: g! ^( ]# K& z5 C
disp(BB)' I2 z8 U% R* T, c, y( H6 D
disp(B2)
) C0 }4 C% x7 _$ K, _0 [8 I %-------------计算各节点有功功率不平衡量deltaPi
! K7 w5 \+ d$ O( U9 T6 K' j k=0; 5 L3 G5 v6 U5 a- f
kp=1;& X) q; y/ K$ _6 K. B
kq=1;
0 w2 V: u" i1 x p( `5 z$ ^; Nwhile(((kp~=0)||(kq~=0))&&k<=20)
- c- c6 j( O- D, d6 k; x1 d' [ kp=1;! X7 m6 I Z% _0 a1 w7 `( t
kq=1;
2 a3 m3 K5 r/ q notph=find(TYPE(:,1)<3);
0 i/ i7 ]! r9 Z- K* N! R- \+ w deltaPi=zeros(x-1,1);
0 T$ V5 c6 J% ` pq=find(TYPE(:,1)==1);
& s: b/ a0 G& R3 d8 S$ C3 u& K& M9 R: o; \ pqnum=size(B2);
2 R h/ O# _& v" W3 i pqnum=pqnum(1);
3 A4 \, X1 F! U! j deltaQi=zeros(pqnum,1);0 |8 O$ C! k- P% K3 v/ h
for m=1:(x-1)
8 l& W3 j+ G( T7 J' _* ] sum1=0;
+ U t3 s5 o; b# a( }8 s% g, m1 | for n=1:x
: r! l3 A3 L3 v& ^ sum1=sum1+U(notph(m))*U(n)*(G(notph(m),n)*cos(a(notph(m))-a(n))+B(notph(m),n)*sin(a(notph(m))-a(n)));+ }: L/ N1 b) s p
end
, j7 ]) s- C1 Q deltaPi(m)=P(notph(m))-sum1;3 d8 c, V+ o* ]5 a
end
& O$ v# J5 h# M; u7 \8 g, odisp('有功功率不平衡量')
% J* C/ W* ^ Y: a% pdisp(k)! b) j) W* Z% ]2 u2 ]
disp(deltaPi)
& K( w6 I: T7 g max1=max(abs(deltaPi));
. a( S' j& T6 O- u; J' y if max1<=e 8 w3 p1 j1 F$ P6 a
kp=0;' j2 P1 ?1 Z* t. ^8 f* ~
if kq==0
# @# ^% p7 d7 _0 l break
$ l9 I& T4 ~3 b( z4 Q2 o4 g else
1 J: h0 V& B% x+ a, p; |/ U for m=1:pqnum- T0 q% }- G( O
sum2=0; K2 Q) M) l1 U. |: J+ V
for n=1:x
: @4 z# R- N& p Xsum2=sum2+U(pq(m))*U(n)*(G(pq(m),n)*sin(a(pq(m))-a(n))-B(pq(m),n)*cos(a(pq(m))-a(n))); - b; F; @$ M, g, M! W" M4 z6 R
end
; t6 e0 y# ~" l0 k5 h/ p: _1 B; `$ F" P# w C4 P" K- r; O
deltaQi(m)=Q(pq(m))-sum2;
* q+ t( E V* I! W end) G/ l" K$ v) t- e
max2=max(abs(deltaQi));
) U) e* q6 ]! w* w7 U if max2<=e
! W8 i' w3 Z( a- l+ v kq=0;
* t: d) f9 Z- m if kp==0 c# i1 g% D/ e$ y _& y
break
7 E( k7 n) t, ]2 X, Z else. ?4 w' p, g: W$ y6 z9 v* @2 q
k=k+1;$ n* y% C# M7 f0 w$ j: ~
end2 U$ c8 M1 A; ]$ |$ _
else3 B( r& S9 a5 ]# o
Uq=U;
) t# Z N2 ]: Q2 u" y" B Uq(phpv)=[];# |0 E! z' Z, y( O- E
Upq=Uq;
7 g7 _& k9 L+ b, E! J* t0 F, L deltaU=-B2*(deltaQi./Upq);$ K! c5 a0 y: H3 h, u
for m=1:pqnum
1 m9 G5 z5 W- r( Y4 e/ E U(pq(m))=U(pq(m))+deltaU(m);# A3 r6 \# X# J" F+ J% [ Y V
end& ~0 ]0 t, {" p
kp=1;
/ j/ j$ `& ?. V2 z4 P# M0 o% K* s k=k+1;
$ A5 I, v# W2 r+ b7 ^0 l1 @8 I4 r end
1 i; S% H& }/ ~! m$ _2 i end
! [# ?6 I+ t, K+ \/ M else8 L* e0 ?8 Z1 H" }7 f3 X3 o
Up=U;
% P% t% e" e! F: j" P Up(ph)=[];7 J2 \ k$ g: D6 Y" E1 U3 t
Unotph=Up;
5 W+ u) t) w3 J deltaa=((-B1*(deltaPi./Unotph))./Unotph); : f% @% z% _, J. c4 H" e9 p V
for m=1:(x-1)7 G3 j, x* g3 n9 q! ?8 y
a(notph(m))=a(notph(m))+deltaa(m);
K4 I* q, {, \8 z* ^/ ~ end7 {4 K2 s- _% V( N. R
disp('电压相角修正')
, l! S! E1 M3 v( Y' C3 H1 Vdisp(k)
& f) o$ B! p7 v' s$ a/ B' Jdisp(deltaa)
Z( `1 e1 Y9 \disp(a)
1 k# u! R0 C4 v kq=1;
7 ?2 n+ m7 k$ o5 z$ x" {- P for m=1:pqnum
3 T8 s: u) Y% h" V- q sum2=0;" g2 R+ R3 `) Y- D
for n=1:x$ |/ K1 }! N/ x( p# N# ?; L
sum2=sum2+U(pq(m))*U(n)*(G(pq(m),n)*sin(a(pq(m))-a(n))-B(pq(m),n)*cos(a(pq(m))-a(n))); $ C8 A) C1 J7 N, m1 q
end N7 z" ~# W; i+ g3 E' @
deltaQi(m)=Q(pq(m))-sum2;
0 m+ N* w8 e' J6 [ end 1 r3 E) `& E* b5 m; L
disp('wu功功率不平衡量')6 O3 P- n" i: o8 P; |
disp(k); A- l3 u( O/ ^! F& v
disp(deltaQi) , N' F) Z8 X% d1 w3 ?" a
Uq=U;
: Y2 b H% L& q8 T3 ^ Uq(phpv)=[];. t, h" n; Y! b" `$ ?0 O" a
Upq=Uq;4 O1 N. ?4 x+ z! o" m
deltaU=-B2*(deltaQi./Upq);, x0 z, T8 u) ~) r4 M7 e: l9 \ K
for m=1:pqnum
( C6 V5 Z# d, r1 f/ [ U(pq(m))=U(pq(m))+deltaU(m);$ P7 v ~; n( U5 E) N
end
; a" s, O' u* U7 T4 x, h/ k7 tdisp('电压修正')
6 A- h6 N7 [' Y3 A3 Xdisp(k)0 R1 @& W8 ~) H W4 t% m$ Y+ U# y
disp(deltaU)4 C) {- J8 A& f! m, I
disp(U)) L& P' f- f; B; f. w( E3 A
kp=1;+ T5 R( q) R: C: s5 M
k=k+1;) J5 a D5 D4 z/ @& [( P/ \6 D' O
end! q- T# k. [" [- J1 A. c! i9 k
end
" x4 C! Z; b' q4 _ sum3=0+j*0;$ ?/ Y ]2 G2 Z! }' x* n. P, d
for m=1:x
, ~! Z ?" x0 U0 C* U }0 s sum3=sum3+conj(Y(ph,m))*(U(m)*cos(a(m))-i*U(m)*sin(a(m)))
^( x" B- K# X7 P) V& J end
" y C' Q/ M$ w Sph=(U(ph)*cos(a(ph))+j*U(ph)*sin(a(ph)))*sum3;
9 W( h+ l% D g: X x+ } %-----------------求线路功率Sij和Sji/ g2 V# U- T7 {5 g
Sij=zeros(y,1);
5 M F7 O/ }4 v4 q Sji=zeros(y,1);
: l5 {. @9 K! O- o" X: H+ B for m=1:y6 Q' H. k* v: o, ~) B
if KT(m)==0 Sij(m)=(U(I(m))*cos(a(I(m)))+i*U(I(m))*sin(a(I(m))))*((U(I(m))*cos(a(I(m)))-i*U(I(m))*sin(a(I(m))))*(-i*B0(m)/2)+(U(I(m))*cos(a(I(m)))-i*U(I(m))*sin(a(I(m)))-U(J(m))*cos(a(J(m)))+i*U(J(m))*sin(a(J(m))))*conj(-Y(I(m),J(m)))); & C$ ^ b# c/ q' ]2 t
Sji(m)=(U(J(m))*cos(a(J(m)))+i*U(J(m))*sin(a(J(m))))*((U(J(m))*cos(a(J(m)))-i*U(J(m))*sin(a(J(m))))*(-i*B0(m)/2)+(U(J(m))*cos(a(J(m)))-i*U(J(m))*sin(a(J(m)))-U(I(m))*cos(a(I(m)))+i*U(I(m))*sin(a(I(m))))*conj(-Y(I(m),J(m))));
: K+ n' b4 `0 R else1 ^' ^# T7 M) q8 v
if W==1 Sij(m)=(U(I(m))*cos(a(I(m)))+i*U(I(m))*sin(a(I(m))))*((U(I(m))*cos(a(I(m)))-i*U(I(m))*sin(a(I(m))))*((1-KT(m))/(KT(m))^2*conj(1/ZT(m)))+(U(I(m))*cos(a(I(m)))-i*U(I(m))*sin(a(I(m)))-U(J(m))*cos(a(J(m)))+i*U(J(m))*sin(a(J(m))))*conj(-Y(I(m),J(m))));
. W0 b. L# @5 Q% n8 |0 g6 S Sji(m)=(U(J(m))*cos(a(J(m)))+i*U(J(m))*sin(a(J(m))))*((U(J(m))*cos(a(J(m)))-i*U(J(m))*sin(a(J(m))))*((KT(m)-1)/KT(m)*conj(1/ZT(m)))+(U(J(m))*cos(a(J(m)))-i*U(J(m))*sin(a(J(m)))-U(I(m))*cos(a(I(m)))+i*U(I(m))*sin(a(I(m))))*conj(-Y(I(m),J(m))));! l- L: ?! a, G# a
else Sij(m)=(U(I(m))*cos(a(I(m)))+i*U(I(m))*sin(a(I(m))))*((U(I(m))*cos(a(I(m)))-i*U(I(m))*sin(a(I(m))))*((KT(m)-1)/KT(m)*conj(1/ZT(m)))+(U(I(m))*cos(a(I(m)))-i*U(I(m))*sin(a(I(m)))-U(J(m))*cos(a(J(m)))+i*U(J(m))*sin(a(J(m))))*conj(-Y(I(m),J(m))));' C5 X1 Q- D0 B' l$ f# k/ V
Sji(m)=(U(J(m))*cos(a(J(m)))+i*U(J(m))*sin(a(J(m))))*((U(J(m))*cos(a(J(m)))-i*U(J(m))*sin(a(J(m))))*((1-KT(m))/(KT(m))^2*conj(1/ZT(m)))+(U(J(m))*cos(a(J(m)))-i*U(J(m))*sin(a(J(m)))-U(I(m))*cos(a(I(m)))+i*U(I(m))*sin(a(I(m))))*conj(-Y(I(m),J(m))));, R; C# ^" c: \) j* n
end5 U& R4 `3 j& S/ m
end
: ]- X6 v% c4 ?% E8 ]+ Q: K' \1 K/ o end
e% [" i' v U8 U& |. hdeltaSij=Sij+Sji;" e5 n+ Q' G: R5 X+ |, k
S=zeros(x,1)+i*zeros(x,1);
+ O" n0 w4 R( `for b=1:x
' b: v u5 d* [" o4 Q for m=1:y
; h3 V5 V. K7 y1 B/ Q if I(m)==b ( R5 k# F4 f. z0 i3 I, M
S(b)=S(b)+Sij(m);, v& u2 d0 ~! O! M; K3 y8 `
else6 Y3 [$ y7 Z7 o
if J(m)==b
0 O& s! S/ K5 g* o; P1 J" ]; h% ? G S(b)=S(b)+Sji(m);6 o. `& D) N4 q4 m. q
else
4 D. V6 l( l" r S(b)=S(b);# |6 c0 j$ x5 l! E) |+ E
end9 j _6 D% j1 O7 X# g' G
end
9 Z; n! f# x: k4 I6 S/ jend3 a# c, J* T" x, _8 s
end4 \5 y7 {& z9 \3 e7 x# C# M% I" u
P=real(S); 4 S' ~% O: k' ?7 H5 ?! @
Q=imag(S);
) w) T. ^8 e' D& H' ssumdeltaS=sum(S);
' F O6 @7 v5 `# J7 vfid=fopen('shiyan
% C0 k2 ]% e/ f K% ~fprintf(fid,' ******************************电力系统06 白云霄 0603010213********************************\n');jieguo.txt','wt');. D- O& ?0 d' f3 ~ o; x
fprintf(fid,' *****************潮流上机输出结果*************\n');
2 I& ?) f, |( N3 T3 @fprintf(fid,' 迭代次数k为: %d \n',k);* {, F1 |: n+ x( ^) Z
fprintf(fid,' ================================================\n');
& J2 C( |+ M8 {3 pfprintf(fid,' 平衡节点%d的复功率Sph为: %f+j*(%f) \n',ph,real(Sph),imag(Sph));
. h9 J" v- h4 g7 L% ~$ n* Bfprintf(fid,' ================================================\n');6 |) M0 D0 g/ N7 p8 d- W# Y
fprintf(fid,' 节点电压U为: \n');
. R7 N0 B: Z; o7 b! k" D8 Kfor m=1:x g4 t# ~+ r q. c" R8 z
fprintf(fid,' 第%d个节点电压: %f\n',m,U(m));
8 z$ {% Z' s# [5 vend
- h6 _% l# U' j: ^8 hfprintf(fid,' ================================================\n');
8 \9 W) p/ @0 }: ufprintf(fid,' 节点相角a为: \n');( b( ^5 F0 b& x7 m8 V! b* w
for m=1:x
! [ k* w$ z8 w# F1 p4 x9 D fprintf(fid,' 第%d个节点相角: %f\n',m,a(m));
: X% K7 A7 ]2 j/ R1 W9 R6 b+ _$ send
" |3 x2 P$ I% v! Dfprintf(fid,' ================================================\n');
( o5 u+ y9 t/ v9 [1 D( nfprintf(fid,' 节点复功率S为: \n');
2 i% y" z, N. I; @8 T: tfor m=1:x
% M: G& _% ]: s6 @, w5 n fprintf(fid,' 第%d个节点复功率: %f+i*(%f)\n',m,real(S(m)),imag(S(m)));8 s( d. u, H( q0 r/ h
end
+ |6 A: R Q" f: W$ cfprintf(fid,' ================================================\n');
0 ^; @( H1 \% Y. ?! D \fprintf(fid,' 节点有功功率P为: \n');
% G) W# l$ E' b& b3 v9 ifor m=1:x2 z, `) P2 [2 M: Z3 s( w: p
fprintf(fid,' 第%d个节点有功功率: %f\n',m,P(m));
% l1 J$ G1 z! b4 I1 ~ pend G) s* u2 P7 S: X8 g4 @, ]
fprintf(fid,' ================================================\n');
- p/ C- i' s! g3 C* `fprintf(fid,' 节点无功功率Q为: \n');
. I1 i Y Q1 n: @ {( u6 Bfor m=1:x; H5 A) m6 _# I6 D& t
fprintf(fid,' 第%d个节点无功功率Q: %f\n',m,Q(m));* b) X) j: [1 B C. t
end
" H, n, C7 q, h+ r' a. }' Sfprintf(fid,' ================================================\n'); ^) @ ], r. T( R* A& N" N
fprintf(fid,' 线路功率Sij和Sji为: \n');
, |( n$ n) m0 \& Q. R2 Efor m=1:y' G7 Y7 V; E+ n& M; z$ Q
fprintf(fid,' 节点%d到节点%d的功率为: %f+i*(%f) \n',I(m),J(m),real(Sij(m)),imag(Sij(m)));: G% X3 `- j) V) S! P
fprintf(fid,' 节点%d到节点%d的功率为: %f+i*(%f) \n',J(m),I(m),real(Sji(m)),imag(Sji(m)));
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fprintf(fid,' ================================================\n');1 y' ^6 P; y+ I8 J3 p& |
fprintf(fid,' 网络总损耗sumdeltaS为: %f+i*(%f) \n',real(sumdeltaS),imag(sumdeltaS));
* b$ l7 P& f8 |2 N8 f' c3 Jfprintf(fid,' ================================================\n');0 @$ i* c/ J! W |
fprintf(fid,' 线路功率损耗deltaSij为: \n');
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fprintf(fid,' %d--%d线路的功率损耗为: %f+i*(%f) \n',I(m),J(m),real(deltaSij(m)),imag(deltaSij(m)));. T+ M8 m' k. t1 h' X
end |
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