回复 2# redplum
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^8 u. A2 S& G ^% J 首先谢谢指教) Q8 o" b& B U5 |' @- c
下面是这个程序，指教一下那里需要修改啊clear; clc; errArr=[]; %% %³õʼ»¯£¡£¡£¡ initial; % Start clock t1 = clock; %% ROU=sl'*MU_MIN+su'*MU_MAX; MUt=SIGMA*ROU/(2*length(sl));%³õʼ¶ÔżÒò×ÓÓë³Í·£Òò×Ó¼ÆËã% ik=0;%¼Æµü´ú´ÎÊý£¡£¡£¡ %µü´úÑ »·¹ý³Ì£¡£¡ while(abs(ROU)>=err) ( X/ M$ q* q& h/ W: y% E4 W
%% 0 M! C3 Y4 E4 w8 Q- R# O7 r& ^
%Calcute h,g matrix ROU=sl'*MU_MIN+su'*MU_MAX; errArr=[errArr;ROU;]; SIGMA=0; MU=SIGMA*ROU/(2*length(sl)); %ÖÐÐIJÎÊýÖÃÁã%
% u1 m1 \2 ?& A1 Nfor i=1:30
temp=0;
0 T! p/ W* g% `; y2 gfor j=1:30
temp=temp-V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); 7 R$ K+ d/ F& W7 ?8 e: S! y' e! X4 h
end ) v6 S- Y" W5 E9 Y9 q
if (i>6) tPg=0;
: o7 B C8 |" B' \else
tPg=Pg(i); ; F0 W; ~7 T" R' G/ m6 R
end h(i)=tPg-Pd(i)+V(i)*temp; ( q' u; r* z6 c
end
/ L* l* K2 j: R9 yfor i=1:30
temp=0; 5 ^+ D& b N! w/ e) o$ ]
for j=1:30 temp=temp-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j));
0 X) S3 Q2 ~1 s4 ]* X) Q$ `5 F: e) qend
6 x8 _5 \5 V3 i+ t c2 e6 b. O% Aif (i>6)
tQg=0; . ]5 q4 o$ A2 P2 V) V3 t
else tQg=Qg(i); # ^9 k! M5 `3 m; P6 H m0 j
end h(i+30)=tQg-Qd(i)+V(i)*temp;
( p' |9 t9 B+ A5 Fend1 Q) l5 q# w4 O C4 i% \
% Cal h END
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% P. l, {: S3 p' K/ Q( r+ efor i=1:6
g(i)=Pg(i); g(i+6)=Qg(i); * j: T* a0 u5 L0 d% o5 D
end
7 c2 ]( {3 f# Gfor i=1:30
g(i+12)=V(i);
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% Cal g END
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%Calcute h,g matrix END ; ?9 q: R% a' F8 a* T( a
%%
: M" ^5 P1 u% S%Calculate Jacobian&Hessian matix
/ D# m: o2 m: M" [: D( |* G%First Step: Jf,Hf
0 N A4 g* _- L1 a$ v# j; Y4 B" O+ f
for i=1:6 Jf(i)=2*gencost(i,5)*Pg(i)+gencost(i,6); Hf(i,i)=2*gencost(i,6);
C) b0 o3 G$ J, _( W( n2 N! bend
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%Second Step: Jh, hΪµÈʽԼÊø 9 r) ]% S5 C m
for i=1:6 %Ç°6ÐжÔPgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i)=1;
n# n0 z' [5 g1 E* p B# Yend
: e4 R. z9 A+ w, b, S4 S: Jfor i=7:12 %7-12ÐжÔQgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö
Jh(i,i+24)=1; 6 f" s% k0 H- v- f% C- |# W6 O# p3 f
end
@! q6 E3 @- h3 N) f4 Hfor i=1:30 %ÐγÉ13-42ÐеÄ1-60ÁÐ
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for j=1:30 tempVp=0; tempVq=0;
4 m+ _8 k" B) ]( k6 lif (j==i)
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for k=1:30 tempVp=tempVp-V(k)*aY(j,k)*cos(Vth(j)-Vth(k)-Yth(j,k)); tempVq=tempVq-V(k)*aY(j,k)*sin(Vth(j)-Vth(k)-Yth(j,k)); # @0 x% W4 ?) `- i8 h' A
end Jh(12+j,i)=tempVp-aY(j,j)*V(j)*cos(Yth(j,j)); Jh(12+j,30+i)=tempVq+aY(j,j)*V(j)*sin(Yth(j,j));
! f0 M- S2 |# L8 q+ d* eelse
Jh(12+j,i)=-aY(i,j)*V(i)*cos(Vth(i)-Vth(j)-Yth(i,j)); Jh(12+j,30+i)=-aY(i,j)*V(i)*sin(Vth(i)-Vth(j)-Yth(i,j)); T1 u+ A7 W8 L$ t
end 8 e$ u5 Z: o o/ z
end & q% S+ q. O. e2 D
end ) @2 ?) |) o6 `5 ?; C5 x
for i=1:30 %ÐγÉ43-72ÐеÄ1-60ÁÐ # r2 o7 e0 c* X9 ?6 [; I9 x
for j=1:30 tempVp=0; tempVq=0; : ~& u# w, R6 a, P ?
if (j==i)
* Y) ?$ h$ ^; B3 D0 wfor k=1:30
tempVp=tempVp+aY(j,k)*V(k)*sin(Vth(j)-Vth(k)-Yth(j,k)); tempVq=tempVq-aY(j,k)*V(k)*cos(Vth(j)-Vth(k)-Yth(j,k)); 2 Y5 }+ ^) m# Q8 X+ s! E; l9 z
end tempVp=tempVp-V(j)*aY(j,j)*sin(-Yth(j,j)); tempVq=tempVq+V(j)*aY(j,j)*cos(-Yth(j,j)); Jh(42+j,i)=V(i)*tempVp; Jh(42+j,30+i)=V(i)*tempVq; 2 k: }: U1 z. l. f9 t8 o
else Jh(42+j,i)=-aY(i,j)*V(i)*V(j)*sin(Vth(i)-Vth(j)-Yth(i,j)); Jh(42+j,30+i)=aY(i,j)*V(i)*V(j)*cos(Vth(i)-Vth(j)-Yth(i,j));
- [) _4 k- l6 X9 z3 P% Hend
% B6 j* [" ^- w& T0 r0 gend
4 H, k7 A4 F1 v% S0 ^end
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%Third Step: Hh
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/ @& U/ \6 u; g6 rfor i=1:30
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for j=1:30 + u( h2 T6 X. Q$ H7 V, W
for k=j:30 8 ]* v% V/ v' C- i! g8 h
if (j==k&&i~=j) Hh(j+12,k+12,i)=0; %VV Hh(j+42,k+42,i)=V(i)*aY(i,j)*V(j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %%thth : B8 z( b, N! G
elseif (j==k&&i==j) Hh(j+12,k+12,i)=-2*aY(j,j)*cos(Yth(i,i)); %VV temp=0; %thth
8 S+ \& w: `* t8 ]/ yfor l=1:30
temp=temp+aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l)); 9 g: n6 o5 n$ V9 I
end temp=temp-aY(i,i)*V(i)*cos(-Yth(i,i)); Hh(j+42,k+42,i)=V(i)*temp; ( |+ `) A7 z+ Z( }
elseif (k==i) Hh(j+12,k+12,i)=-aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %VV Hh(k+12,j+12,i)=Hh(j+12,k+12,i); Hh(j+42,k+42,i)=-V(i)*aY(i,j)*V(j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thth Hh(k+42,j+42,i)=Hh(j+42,k+42,i);
0 I. u# m4 U: Zelseif (j==i)
Hh(j+12,k+12,i)=-aY(i,k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %VV Hh(k+12,j+12,i)=Hh(j+12,k+12,i); Hh(j+42,k+42,i)=-V(i)*aY(i,k)*V(k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %thth Hh(k+42,j+42,i)=Hh(j+42,k+42,i); / t2 S/ q6 ?2 m% T" f( R
end
) v' d5 ?2 _# f& F5 i0 d9 Qend
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end 0 \- E+ N: i) t, Q) D! j& I
end
% V: |* |9 r* K2 z% N0 s' K T0 h' U% `%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
+ M s o9 U9 l& a7 t" ?for i=1:30
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for j=1:30 " U& O9 q, h' y, ~
for k=1:30
' b7 U+ h _2 f P C0 b& r. B. _7 W9 Dif (j==k&&i~=j)
Hh(j+42,k+12,i)=-V(i)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV 9 D6 s5 ^' H! M9 m- o, K% Z6 L
elseif (j==k&&i==j) temp=0; %thV
" x1 {0 f! w9 F8 b% @for l=1:30
temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); # ^: R- u+ m5 L
end Hh(j+42,k+12,i)=temp-V(i)*aY(i,i)*sin(-Yth(i,i)); % @; M% \: `1 `6 c2 Q) Y) p1 [. u, x
elseif (j==i) Hh(j+42,k+12,i)=V(i)*aY(i,k)*sin(Vth(i)-Vth(k)-Yth(i,k)); %thV " z9 W' w! K+ q U
elseif (k==i) Hh(j+42,k+12,i)=-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV
9 E. B8 T) h8 N3 zend
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5 O+ f5 [8 ?. g8 N z9 ~end
Hh(13:42,43:72,i)=Hh(43:72,13:42,i)';
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# c( f9 u' u* V$ C%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
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%ÎÞ¹¦²¿·Ö 1 [0 o ?' q0 f# E* f
for i=1:30
3 O! E* ^- w0 n( |1 B5 D# O0 B' V$ ~for j=1:30
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for k=j:30 . [8 Y# E. L% w0 {( u. J# [
if (j==k&&i~=j) Hh(j+12,k+12,i+30)=0; %VV Hh(j+42,k+42,i+30)=V(i)*aY(i,j)*V(j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %%thth - a) e, i0 k& u9 o
elseif (j==k&&i==j) Hh(j+12,k+12,i+30)=2*aY(j,j)*sin(Yth(i,i)); %VV temp=0; %thth + [, Y8 ?% ]) X5 S( X
for l=1:30 temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l));
: A: f; |9 n9 }! Xend
temp=temp-aY(i,i)*V(i)*sin(-Yth(i,i)); Hh(j+42,k+42,i+30)=V(i)*temp; 7 d9 |% v. ?& R9 U# i
elseif (k==i) Hh(j+12,k+12,i+30)=-aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %VV Hh(k+12,j+12,i+30)=Hh(j+12,k+12,i+30); Hh(j+42,k+42,i)=-V(i)*aY(i,j)*V(j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thth Hh(k+42,j+42,i+30)=Hh(j+42,k+42,i+30); ! o6 q# Z: g8 Q: M* g
elseif (j==i) Hh(j+12,k+12,i+30)=-aY(i,k)*sin(Vth(i)-Vth(k)-Yth(i,k)); %VV Hh(k+12,j+12,i+30)=Hh(j+12,k+12,i+30); Hh(j+42,k+42,i+30)=-V(i)*aY(i,k)*V(k)*sin(Vth(i)-Vth(k)-Yth(i,k)); %thth Hh(k+42,j+42,i+30)=Hh(j+42,k+42,i+30);
4 x+ m- Q3 U5 D6 aend
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end
9 s+ M$ `. N( T: L" R2 \0 r Pend
: {5 ~# h/ I: ]* }( J) ?; e8 `end
' V" Q6 x7 p; c%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
8 m* W* }# d* Y* E0 r8 Kfor i=1:30
2 ~- f8 N4 V4 N: T: P9 M8 d) `
for j=1:30 & F. Z/ Y, y9 x0 n* _1 T- g
for k=1:30 ! Z1 A" r! x+ B, g V# B7 m4 |" a
if (j==k&&i~=j) Hh(j+42,k+12,i+30)=V(i)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thV , L: v, Q0 s& s+ ?
elseif (j==k&&i==j) temp=0; %thV 1 `% w( [+ J- J4 ~! B
for l=1:30 temp=temp-aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l));
) u/ _# g4 v# \$ Eend
Hh(j+42,k+12,i+30)=temp+V(i)*aY(i,i)*cos(-Yth(i,i)); # }4 A7 V7 O, Z( D# G3 ]
elseif (j==i) Hh(j+42,k+12,i+30)=-V(i)*aY(i,k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %thV
& R$ I5 x5 c. u4 telseif (k==i)
Hh(j+42,k+12,i+30)=V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thV
" f2 b( [+ M* d' r. h( @6 T# _ {3 vend
* d; Q3 L) [$ B
end
5 k) W! B `3 G6 q; u% ]end
Hh(13:42,43:72,i+30)=Hh(43:72,13:42,i+30)';
$ ?/ W' q/ n: P( y! h4 Xend! ?6 ?/ j. m5 a
%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
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%HhÐγÉÍê±Ï ( ?; X. F4 X4 P4 q. q$ F, J' J
%Fourth Step: Jg, Hg Jg=eye(42,42); Jg=[Jg;zeros(30,42)]; Hg=zeros(72);
' y8 k' Y' Z5 L, W: \%Calculation Jacobian&Hessian matrix END
: W& Z, R, ^/ ^2 h%%
/ [4 T1 h( c9 h: Y# E%Calculate Newton Iteration Îó²îµü´úÁ¿
3 X# J8 m/ l. p8 p! }1 p
%Cal LX0-------------------------1 LX0=Jf-Jh*Lam+Jg*(-MU_MIN+MU_MAX);
# C7 Q' |& ^7 s4 n! F%Cal LLam-------------------------2
LLam0=h; pferr=max(LLam0); * X, X: e$ r; q, T# E
%Cal LMU_MIN-------------------------3 LMU_MIN0=g-sl-gmin; 5 `, V; ?1 }/ }
%Cal LMU_MAX-------------------------4 LMU_MAX0=g+su-gmax;
0 s* j( S0 [: i+ [* `/ C$ n1 G$ t%Cal Lsl-------------------------5
Lsl0=diag(MU_MIN)*diag(sl)*ones(length(sl),1)-MU*ones(length(sl),1);
! n1 g: }) n" j4 T9 c+ P%CAl Lsu-------------------------6
Lsu0=diag(MU_MAX)*diag(su)*ones(length(su),1)-MU*ones(length(su),1); 0 M0 q. Y- d' \5 j, H
%Calculate Newton Iteration Îó²îµü´úÁ¿ END!!!
- @9 d2 Y2 l1 \" J! _%%
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%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ + v/ X$ `# l/ e5 {: V* W' |
%1st Step: ·ÂÉäÐÞÕýÁ¿delXaf,·ÂÉäÐÞÕýÁ¿delLamaf # S7 \3 S y8 \- f: N: v4 k3 }" Q
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã # N0 M u2 ?6 Y3 U2 R: t2 N# f3 l
for i=1:60 temp=temp+Lam(i)*Hh(:,:,i); z& g0 q; O2 X7 m
end tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; - R, @! i& Z( T
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i); , {5 k. {' _4 ?! y& J1 g) I; _
end tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg';
; [* B7 i/ D" d/ pfor i=1:42
tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
8 u8 t( }# g& Y! Rend
H=Hf-temp+tempgMUg1+tempgMUg2;
: Z) B2 x+ h3 c% k% l$ m%S2:·ÂÉäKESAaf
tempgMUg1=0; tempgMUg1=diag(MU_MIN)*sl+diag(MU_MIN)*LMU_MIN0; 7 i, T* v4 J# s8 c
for i=1:42 tempgMUg1(i)=tempgMUg1(i)/sl(i);
* C" v$ w. j% d" f+ t G. k& Xend
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=diag(MU_MAX)*su-diag(MU_MAX)*LMU_MAX0; 6 f1 a6 a% o C- k5 q: t3 Q& {: a
for i=1:42 tempgMUg2(i)=tempgMUg2(i)/su(i);
- ?5 o8 R/ i4 m2 \/ Kend
tempgMUg2=Jg*tempgMUg2; KESAaf=LX0+tempgMUg1-tempgMUg2;
# w% G2 z# G6 I7 p/ m%S3:JACOBIAN
JACOBIAN=[H -Jh;Jh' zeros(60)]; ' Q% o3 U- s2 w- l8 J
%S4£ºRESULT RESULT=-[KESAaf;LLam0]; 7 Z% G7 X8 i2 R# S. n, N
%S5:Cal ·ÂÉäÐÞÕýÁ¿delXaf,·ÅÉäÐÞÕýÁ¿delLamaf delXaf=-Jh'\LLam0; delLamaf=Jh\(H*delXaf+KESAaf); % temp=JACOBIAN\RESULT; % for i=1:72 % delX(i)=temp(i); % end % for i=1:60 % delLam(i)=temp(i+72); % end ; L% z, B( ^ I- f. I
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%2nd Step: ·ÅÉäËɳڱäÁ¿ÐÞÕýÁ¿delslaf, delsuaf % l: i2 Y5 C+ L% `1 f$ }% t
%S1: delslaf delslaf=Jg'*delXaf+LMU_MIN0;
7 Y8 X' u/ F" M5 K' I% a% }%S2: delsuaf
delsuaf=-Jg'*delXaf-LMU_MAX0; ' ~8 V! j1 c+ X: T7 u
4 V& i/ _% L+ f- E4 R5 g
%3rd Step: ·ÅÉäÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MINaf,delMU_MAXaf
/ G+ B8 k) S. s' w% A# R& h%S1: delMU_MINaf
temp=0; temp=-Lsl0-diag(MU_MIN)*delslaf; 8 i/ b9 v% R" s; ?: y
for i=1:42 temp(i)=temp(i)/sl(i);
# v. o6 g. m4 O' a. Gend
temp(13)=0; delMU_MINaf=temp;
) W5 P8 d' d7 I%S2: delMU_MAXaf
temp=0; temp=-Lsu0-diag(MU_MAX)*delsuaf; ) P& K; ]' X: n/ }3 v
for i=1:42 temp(i)=temp(i)/su(i); ! h# T6 s, B/ `5 e z! \& {6 L
end temp(13)=0; delMU_MAXaf=temp;
7 |2 |/ n2 V- M1 K
% M* P: t! X O) }%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ END!!!!!!!!!!!!!!
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%%
1 Y! l1 J0 ^2 p: ~% u, Y8 N' n%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPpaf£¬ STEPdaf
" d- P+ T) ~9 @2 b5 O
%S1: STEPpaf ( C2 j% \( s R# \4 }/ C
for i=1:42
9 @ z' U- @# i( r" l& p9 l* t! jif (delslaf(i)~=0)
temp1=-sl(i)/delslaf(i); # s- e: r5 d' _0 u1 {8 t8 R" a! p
else temp1=Inf; ; M8 z# W5 r5 e2 U! _
end
( H4 T$ W* ]1 N! i4 {4 m) cif (delsuaf(i)~=0)
temp2=-su(i)/delsuaf(i); ) p! K! Z! l- a/ P" s; E* @7 p
else temp2=Inf; / B# {& u& h9 a
end
' U8 i# d7 F" ^) G1 r9 K! Dif temp1<temp2
min=temp1; 3 F8 L- m* N, |5 }" Y3 o# y6 P% b
else min=temp2;
0 b0 S( C% n! Fend
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if min>1 min=1; ' ^* v4 c* S3 h8 ^
end 8 v$ N* n! W9 G8 D W" I& N! w4 z
end STEPpaf=0.9995*min;
7 H( h! ]/ F' g% x6 {7 f%S2: STEPdaf
+ |9 o0 `( `0 W; A
for i=1:42 temp1=-MU_MIN(i)/delMU_MINaf(i); temp2=-MU_MAX(i)/delMU_MAXaf(i); ' k! D' p+ p; d5 T' i0 ~: d
if temp1<temp2 min=temp1; ( Y5 f, U* ^; O8 x9 K+ C
else min=temp2;
$ H8 ~6 d$ ]4 H' {* {, O. L9 D cend
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if (i==13) min=0;
6 O+ c1 z# d7 H1 @end
& T# C9 x6 {- \' ^; q2 r4 v) m- y! [if min>1
min=1; 5 a5 c/ |' R( M
end 9 c7 R1 E1 M7 v4 ?2 f: _/ l
end STEPdaf=0.9995*min; $ u1 |4 K) Y. r3 j/ u
%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd END!!!!!
/ s# y$ k P$ v
, p# U/ j% H9 N%¼ÆËã·ÂÉä¶ÔżÒòÊý¼°³Í·£Òò×Ó%
ROUaf=(sl+STEPpaf*delslaf)'*(MU_MIN+STEPdaf*delMU_MINaf)+(su+STEPpaf*delsuaf)'*(MU_MAX+STEPdaf*delMU_MAXaf);
: s9 L7 |/ h2 T6 k; \if (ROUaf/ROU)^2<0.2
SIGMA=(ROUaf/ROU)^2;
% _7 u. e* W* l2 jelse
SIGMA=0.2;
/ X9 e7 J \4 `6 s# o2 j Z! Jend
MUaf=SIGMA*ROUaf/(2*length(sl));
5 R) M6 \+ p' P%¼ÆËãÍê±Ï%
Lsl0=diag(MU_MIN)*diag(sl)*ones(length(sl),1)-MUaf*ones(length(sl),1)-diag(delslaf)*delMU_MINaf; Lsu0=diag(MU_MAX)*diag(su)*ones(length(su),1)-MUaf*ones(length(su),1)-diag(delsuaf)*delMU_MAXaf; . a4 C& Q) m$ b: E
%Calculate Newton Iteration ÐÞÕýÁ¿ * _; r5 I- D6 p* `" \% N
%1st Step: УÕýÐÞÕýÁ¿delX,ÐÞÕýÁ¿delLam 9 ]( S6 c/ \. A/ j9 e$ d2 a# {
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã 7 D* s v+ m' o2 ?' x8 y
for i=1:60 temp=temp+Lam(i)*Hh(:,:,i);
% M+ S* ?) n9 n& g6 i- tend
tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; 4 l* m( [! I! b: a. N; i8 n7 r
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i); 5 A* T2 i7 W( B& l/ J j
end tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg';
3 U) F8 k* H, P( O- Gfor i=1:42
tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
4 M7 p5 b/ \. ?% g. l2 q* Oend
H=Hf-temp+tempgMUg1+tempgMUg2;
s; S6 |8 ?- h$ p%S2:УÕýKESA
tempgMUg1=0; tempgMUg1=Lsl0+diag(MU_MIN)*LMU_MIN0+diag(delslaf)*delMU_MINaf; 2 H' S1 ^, t9 v' F8 V1 k! V2 D* _
for i=1:42 tempgMUg1(i)=tempgMUg1(i)/sl(i);
4 X4 o6 J2 A" m1 G# p$ Eend
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=Lsu0-diag(MU_MAX)*LMU_MAX0+diag(delsuaf)*delMU_MAXaf;
" V3 n9 i' W& Efor i=1:42
tempgMUg2(i)=tempgMUg2(i)/su(i);
) v9 V& O- f5 N% ^end
tempgMUg2=Jg*tempgMUg2; KESA=LX0+tempgMUg1-tempgMUg2;
9 \2 w. A- y9 i0 Z/ q%S3:JACOBIAN
JACOBIAN=[H -Jh;Jh' zeros(60)];
: q& b: y u, e# n+ m%S4£ºRESULT
RESULT=-[KESA;LLam0]; " J$ h$ t8 L* L$ Z
%S5:Cal УÕýÐÞÕýÁ¿delX,ÐÞÕýÁ¿delLam delX=-Jh'\LLam0; delLam=Jh\(H*delX+KESA); % temp=JACOBIAN\RESULT; % for i=1:72 % delX(i)=temp(i); % end % for i=1:60 % delLam(i)=temp(i+72); % end # Z) J2 p% O9 c* T! c
9 W* j; h0 f- D+ z1 z%2nd Step: УÕýËɳڱäÁ¿ÐÞÕýÁ¿delsl, delsu
& {0 P/ u' ^& ^ H! i: O
%S1: delsl delsl=Jg'*delX+LMU_MIN0;
6 F1 k$ ^0 k4 @%S2: delsu
delsu=-Jg'*delX-LMU_MAX0; 9 O2 z, |) n2 H/ @$ E# X6 M$ s& G
8 y5 d$ ^9 P* \$ p4 a; Q2 M
%3rd Step: УÕýÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MIN,delMU_MAX , h8 Y3 G9 q" `+ N& U2 p
%S1: delMU_MIN temp=0; temp=-diag(MU_MIN)*sl+MUt*ones(42,1)-diag(delMU_MINaf)*delslaf-diag(MU_MIN)*delslaf; ' i: \! O8 {; Y' E
for i=1:42 temp(i)=temp(i)/sl(i); : @ G1 k2 s8 |, L0 l# |) [
end temp(13)=0; delMU_MIN=temp;
0 O1 \$ j2 ^6 ]7 y2 x# c$ ^# n W%S2: delMU_MAX
temp=0; temp=-diag(MU_MAX)*su+MUt*ones(42,1)-diag(delMU_MAXaf)*delsuaf-diag(MU_MAX)*delsuaf; ' Y- n# b8 t, n. h7 ^: X+ N
for i=1:42 temp(i)=temp(i)/su(i);
) N( x* ?& T9 J1 b& V- i3 ?1 l# ^end
temp(13)=0; delMU_MAX=temp; 8 Z( m0 e* ~0 @7 w; ^& W
$ G& A0 Y& L4 u4 N" y7 z
%Calculate Newton Iteration ÐÞÕýÁ¿ END!!!!!!!!!!!!!! 2 ?& R% q( D: o9 f* y# j
%% * _' J8 Q) I0 T+ n6 f( M. p
%¼ÆËãУÕýÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd # L- o- u) U, K- v9 w
%S1: STEPp " U' g! |: @) T; R( A. R
for i=1:42
& u/ \: R3 T uif (delslaf(i)~=0)
temp1=-sl(i)/delsl(i);
# O" u* |- g+ ielse
temp1=Inf; " E( X; j- O- i) Z- i- {9 y$ F4 I+ E
end
. c. I4 ?' _+ e5 j. C: z3 N1 `$ tif (delsuaf(i)~=0)
temp2=-su(i)/delsu(i);
( Q! U) v" B7 f* D6 Y; xelse
temp2=Inf; 6 @/ f! u! u3 D; |0 ?& d* F$ g
end
! @8 o1 N; Z: A7 ?, q- ^ V4 Iif temp1<temp2
min=temp1; . ]8 a+ [6 ?- [5 w' P) o/ j% z
else min=temp2; : N! {3 Y4 Q4 ] p& [5 s& ~
end # d# Y$ z- n8 s4 [) v& T7 e( B
if min>1 min=1; 7 c5 @$ L' a p0 W
end
4 r: u* h/ C8 I" y% u5 S# A, `end
STEPp=0.9995*min;
2 M, i$ n4 v! w3 B$ n3 ^' g%S2: STEPd
% h! i; M" w% S! o6 J1 F
for i=1:42 temp1=-MU_MIN(i)/delMU_MIN(i); temp2=-MU_MAX(i)/delMU_MAX(i);
& {& L B* u* i& Sif temp1<temp2
min=temp1;
1 r- ^4 ^1 t4 d6 N1 O% welse
min=temp2; n: O# R( @4 D' T8 f" S& K
end x( Q; y! W; m0 [: o
if (i==13) min=0; ; u, B, w- ^& w( B8 M G
end * s0 P9 G# h4 K7 U- y
if min>1 min=1;
3 |/ q# U8 G4 y3 I- Jend
2 E1 U& C4 Q" w k4 s+ I5 s1 Hend
STEPd=0.9995*min; " f& S! I8 B" o7 V" ]1 K
%¸üÐÂÔ Ê¼±äÁ¿ºÍ¶Ôż±äÁ¿ X=X+STEPp*delX; Lam=Lam+STEPd*delLam; sl=sl+STEPp*delsl; su=su+STEPp*delsu; MU_MIN=MU_MIN+STEPd*delMU_MIN; MU_MAX=MU_MAX+STEPd*delMU_MAX; Pg=X(1:6);Qg=X(7:12);V=X(13:42);Vth=X(43:72); ! u, v% i+ @3 @& F
%¸üÐÂÔ Ê¼±äÁ¿ºÍ¶Ôż±äÁ¿ END!!! / f2 D3 q1 M* z1 H
$ Q* [$ |) U& y: D8 z: ?- T
%¼ÆËã¶Ôż¼ä϶% ROU=sl'*MU_MIN+su'*MU_MAX; MUt=SIGMA*ROU/(2*length(sl));
$ T7 T; f% F2 B%%
' l3 A" Q/ G. u& ]" R3 m+ G
%ÅжÏÊÇ·ñ³¬¹ýµü´ú´ÎÊý ik=ik+1; 4 O9 q! @0 @% a3 g* S
if ik>IterNumMAX disp('IterNum ERROR!!!!!');
5 U) p% t; y' ]: xbreak;
+ J. F+ [; l% S1 f. }% l
end ( `2 W7 }4 E# r9 L3 I
end et = etime(clock, t1); %% %Êä³ö²¿·Ö
3 U' \& i8 ^" L y6 m1 \0 ]" W" ^
if (ik<=IterNumMAX) ' r# c% F% Q7 l4 S! n* ~
%% 6 w f# o2 J. _) ^- J! E' D
%ÇóµÃ×î´ó×îСµÈʽÎó²î F=0; for i=1:6 F=F+gencost(i,5)*(X(i)*baseMVA)^2+gencost(i,6)*X(i)*baseMVA; end 7 }) S, W- G$ ~
max=-10;min=10; for i=1:ik temp=LLam0(i);
6 g* K9 K! t, n! `/ }8 dif (temp>max) max=temp;
1 \5 ^- I& H# i: o" B- q
end ( Q |: F; q2 {9 C" r% c
if (temp<min) min=temp;
0 [5 z1 f7 s& Q3 H" Jend
end max ik %% %Êä³ö½á¹û fprintf('\nConverged in %.2f seconds', et); fprintf('\nObjective Function Value = %.2f $/hr', F); fprintf('\n================================================================================'); fprintf('\n| Bus Data |'); fprintf('\n================================================================================'); fprintf('\n Bus Voltage Generation Load '); fprintf(' Lambda($/MVA-hr)'); fprintf('\n # Mag(pu) Ang(deg) P (MW) Q (MVAr) P (MW) Q (MVAr)'); fprintf(' P Q '); fprintf('\n----- ------- -------- -------- -------- -------- --------'); fprintf(' ------- -------');
2 t. P5 u! k! H" Z4 g+ |/ B7 j8 b" Ufor i = 1:30
fprintf('\n%5d%7.3f%9.3f', i,X(i+12),X(i+42)*180/pi);
7 p0 d/ j- q# j: x* nif (i<=6)
fprintf('%10.2f%10.2f', X(i)*baseMVA, X(i+6)*baseMVA);
, n9 P: Q$ F7 E5 Eelse
fprintf(' - - ');
& x" u, I: _7 n( jend
fprintf('%10.2f %9.2f', bus(i, 3) , bus(i, 4) ); fprintf('%9.3f %9.3f', Lam(i),Lam(i+30)); / U' q3 G2 b3 a0 a7 J
if (i==30) fprintf('\n -------- -------- -------- --------'); fprintf('\n Total: %9.2f %9.2f',(X(1)+X(2)+X(3)+X(4)+X(5)+X(6))*baseMVA,(X(7)+X(8)+X(9)+X(10)+X(11)+X(12))*baseMVA) fprintf('\n'); 4 p+ w0 V, } ^/ y8 v- a
end
- W1 x4 I( P: i, t5 T& X8 f, Dend
! z+ S2 F& G9 T9 j# y( X
%% %%Êä³öÇúÏßÄâºÏmain iterNum=[1:ik]'; %axis([0,ik+1,min,max]); hold on; f = fit(iterNum,errArr,'spline'); f=feval(f,iterNum); plot(iterNum,errArr,'o',iterNum,f,'-'); end | 
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