回复 2# redplum : y) U% K! q( i$ z, E- x! J
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首先谢谢指教* m% R( n& Q- Y2 T
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) $ J* j5 n+ D% h9 `) r7 h
%% + i8 M7 _7 N7 N1 u4 u) Y
%Calcute h,g matrix ROU=sl'*MU_MIN+su'*MU_MAX; errArr=[errArr;ROU;]; SIGMA=0; MU=SIGMA*ROU/(2*length(sl)); %ÖÐÐIJÎÊýÖÃÁã% % t+ `) _1 M# {0 U/ a1 d
for i=1:30 temp=0;
. k% A0 k( V! j6 C5 `6 l; zfor j=1:30
temp=temp-V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j));
! B2 w( ?4 c5 J* fend
8 Z1 N9 m; v7 e4 r$ F8 H$ e& ^
if (i>6) tPg=0; & F. t4 G: M0 \5 N* d
else tPg=Pg(i); 1 k/ u p5 B# d8 z3 H5 P2 f
end h(i)=tPg-Pd(i)+V(i)*temp; & o9 ?6 u8 r: x+ p
end
& v$ A# }8 L; P+ W" ~: ufor i=1:30
temp=0;
1 y' ]3 Y9 R f3 | I0 Z" u: kfor j=1:30
temp=temp-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j));
5 t8 s& `1 A8 g- C$ Gend
. A7 f4 U5 {! _( T+ L2 ^: I+ Hif (i>6)
tQg=0;
; U/ n; Y$ f: t0 b- ^) V( h8 ^else
tQg=Qg(i); - l0 I6 F3 E) y2 H2 x1 |9 T
end h(i+30)=tQg-Qd(i)+V(i)*temp;
& y) T& j5 R7 v+ X9 gend- ~0 w; d4 F3 V2 [9 _
% Cal h END
+ u Y5 u4 y* E3 t. c
$ R' f( k7 }/ j2 [
for i=1:6 g(i)=Pg(i); g(i+6)=Qg(i);
$ J2 Y9 [' G' b+ j uend
+ p2 G9 r) U1 i0 w. o; B3 hfor i=1:30
g(i+12)=V(i); / i" q* m+ r( P1 R! ?: D
end
4 k) e0 v# M9 r% Cal g END
0 K5 ^4 p- _- i( e%Calcute h,g matrix END
2 m( ^$ `+ `' X( W( ^4 }6 X%%
+ Q, F$ N$ y1 g( G( F
%Calculate Jacobian&Hessian matix 0 Q k+ V4 d% k& H, z; z
%First Step: Jf,Hf
# P; U% @: a5 Z! ~& [" L3 l- [for i=1:6
Jf(i)=2*gencost(i,5)*Pg(i)+gencost(i,6); Hf(i,i)=2*gencost(i,6); 7 \) P2 ~# Z" F
end
/ Q/ Y. t. t8 _: N%Second Step: Jh, hΪµÈʽԼÊø
- }9 ]5 f8 G+ y6 Yfor i=1:6 %Ç°6ÐжÔPgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö
Jh(i,i)=1; ) w2 d9 ^0 E9 d: t" T7 @
end 8 G& J) H7 ~% W
for i=7:12 %7-12ÐжÔQgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i+24)=1;
) d' ?# s: `. S5 G: A) O5 ~, zend
9 v/ t" G; ~7 c0 lfor i=1:30 %ÐγÉ13-42ÐеÄ1-60ÁÐ
& q" i1 q9 [: \6 y+ U" K* ~for j=1:30
tempVp=0; tempVq=0;
: {6 I$ k- S5 U1 s( u& Y8 z5 D Fif (j==i)
2 h, U5 o0 q3 w& w
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)); 3 }) Z, _8 M9 W" c
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)); ( V6 |$ ]. T [4 N8 a
else 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));
7 F+ e9 K+ e" Z( Qend
0 I8 o: Z, c: h& T V9 ?3 wend
0 w% _& k( c2 r) Dend
7 k0 Y b; Q7 x3 V( Sfor i=1:30 %ÐγÉ43-72ÐеÄ1-60ÁÐ
% j' C' l- I$ S& U ~1 Sfor j=1:30
tempVp=0; tempVq=0; ; B3 H N! |" ~3 c6 w
if (j==i)
1 U& b( W7 [4 [" L: Q) Bfor 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)); . x3 O# M. ]0 _1 q
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;
+ } d) D1 }# f6 Celse
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));
3 J; \4 x8 ]* f: Hend
4 P. b; O1 k/ Xend
5 r8 f* \( l' B; e& V* f" _# G6 F0 q: Eend
; E9 U% `- B3 V' c* u1 b%Third Step: Hh
% s6 h2 Z5 m$ q; q6 s
%Óй¦²¿·Ö ; h c4 [$ V$ b: s
for i=1:30 % d9 @, O% ^) w% [) W5 M) f
for j=1:30 $ ~3 ~# Y; @: m5 b
for k=j:30
- Z, T' n" @" G1 Y" h+ Bif (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 0 D, I8 ~! `+ j! @& |
elseif (j==k&&i==j) Hh(j+12,k+12,i)=-2*aY(j,j)*cos(Yth(i,i)); %VV temp=0; %thth
- I2 J# L% a9 |0 l% N) ?for l=1:30
temp=temp+aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l)); " i: T( g8 V; o1 H# S4 E- Z
end temp=temp-aY(i,i)*V(i)*cos(-Yth(i,i)); Hh(j+42,k+42,i)=V(i)*temp;
1 T& O. u" B7 felseif (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); ; m* |' m- E& q# N" ?
elseif (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);
5 M9 z0 v) v# k" K$ H; O, Yend
, H) l' [7 @6 P) K3 L0 nend
' T5 ]6 _$ u2 Z
end ; D( |* ~& a" X$ y' F) L0 v5 J
end
6 U8 ] N v5 v% D0 k0 ]) N%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
. u9 a/ V3 l/ B- i3 f3 L( B. D6 g/ lfor i=1:30
( W: `0 y/ o8 E d
for j=1:30
' o" l6 \3 v/ b% J7 {8 e: bfor k=1:30
/ `! p, X/ u# h0 L3 A- Mif (j==k&&i~=j)
Hh(j+42,k+12,i)=-V(i)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV 0 U8 x2 V& @& T. v5 P
elseif (j==k&&i==j) temp=0; %thV : @- N6 M8 w( O' `9 p
for l=1:30 temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l));
9 T0 r4 D( B* g$ F' f2 K. Zend
Hh(j+42,k+12,i)=temp-V(i)*aY(i,i)*sin(-Yth(i,i));
; K9 e5 O$ E: y) [# Pelseif (j==i)
Hh(j+42,k+12,i)=V(i)*aY(i,k)*sin(Vth(i)-Vth(k)-Yth(i,k)); %thV
1 k. N3 g- G$ C: c' d& M& [$ ?5 B6 b1 N" Nelseif (k==i)
Hh(j+42,k+12,i)=-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV & m' @ J' W9 P$ G* l! S" \
end
; u% c5 n3 `) ~3 g8 @: A9 j5 jend
4 Y# G0 b3 Q' [1 \) s
end Hh(13:42,43:72,i)=Hh(43:72,13:42,i)'; 6 E- F# Z: v# f) a# Y% u( q
end
' `! K: {9 ^5 e) {+ u1 N6 V%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£© % d8 ^: H d! X" ]7 x2 L
%ÎÞ¹¦²¿·Ö
+ k% |+ ~8 z$ p( B( qfor i=1:30
3 v0 @$ u2 K" u- q4 t. m" Gfor j=1:30
) L H$ f* G g6 Y. D; afor k=j:30
" W" F, r1 ]3 N% v$ }
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
8 U8 V/ e: ~2 `6 [* _% s" Helseif (j==k&&i==j)
Hh(j+12,k+12,i+30)=2*aY(j,j)*sin(Yth(i,i)); %VV temp=0; %thth
& x6 p) B% \4 E# O$ @+ d, A3 Ffor l=1:30
temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); ' }0 h8 X) U4 K' p( \0 S
end temp=temp-aY(i,i)*V(i)*sin(-Yth(i,i)); Hh(j+42,k+42,i+30)=V(i)*temp; / W6 m. r2 {& P b& R' X# y6 Y/ v
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); 0 k8 W# O# I& D, d/ Y6 V
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); # a) g8 _2 H$ D h% |9 @' I/ ^( A
end 9 w- @) \ a* Z! q- [& J: f
end B6 p" B3 C, k( Z# F6 Z ]
end
3 s3 r. d( p: j( ]3 I7 Uend! D* O5 Z; k) f7 D" U) ^! B; o
%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
1 H0 a8 S8 V h! D0 u+ Q1 w; r5 B
for i=1:30
) w. S$ P2 e. }4 ]+ xfor j=1:30
( x3 G: f+ b8 T2 W) F: U1 q! U% dfor k=1:30
7 m7 q3 s' d6 ~2 d9 C0 Tif (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
/ \% ~1 v, i+ P }elseif (j==k&&i==j)
temp=0; %thV 7 k* r3 w; p! q6 h# j
for l=1:30 temp=temp-aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l)); + }% k. N) k' C3 c$ N6 ~- R0 E
end Hh(j+42,k+12,i+30)=temp+V(i)*aY(i,i)*cos(-Yth(i,i));
+ i$ d' }- L% S% G! X- W$ E9 S# Xelseif (j==i)
Hh(j+42,k+12,i+30)=-V(i)*aY(i,k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %thV
# g7 g- K' j6 {4 y$ A9 e; v: d- Xelseif (k==i)
Hh(j+42,k+12,i+30)=V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thV $ t$ j/ ^/ P" z" a
end
1 o* i' C: o6 y6 U/ o( p; ~end
2 E/ z9 n; L) T% D( `end
Hh(13:42,43:72,i+30)=Hh(43:72,13:42,i+30)';
2 _3 X. { ~) D) k( A* u/ |# Vend8 V) J8 Q, G: l* D. j! C
%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
' {0 n* v1 V, s%HhÐγÉÍê±Ï
$ T# ^5 M0 o6 c- v+ n' C% v* _%Fourth Step: Jg, Hg
Jg=eye(42,42); Jg=[Jg;zeros(30,42)]; Hg=zeros(72);
& f$ _3 }- X. i7 D%Calculation Jacobian&Hessian matrix END
/ i8 y y& E$ ]4 g" Z- o# r8 H" W%%
! q4 q- v7 u: W( b%Calculate Newton Iteration Îó²îµü´úÁ¿
% v, S/ A0 H6 h%Cal LX0-------------------------1
LX0=Jf-Jh*Lam+Jg*(-MU_MIN+MU_MAX);
8 j ~ ]9 k& z%Cal LLam-------------------------2
LLam0=h; pferr=max(LLam0); ; w6 o" r3 T, Y6 F; F1 s, N( G
%Cal LMU_MIN-------------------------3 LMU_MIN0=g-sl-gmin;
, \: y. e4 p+ U4 t7 s3 W2 v: e%Cal LMU_MAX-------------------------4
LMU_MAX0=g+su-gmax; * e& P9 r' Q6 P3 V0 c# a
%Cal Lsl-------------------------5 Lsl0=diag(MU_MIN)*diag(sl)*ones(length(sl),1)-MU*ones(length(sl),1); + f" s& R" T* R. W0 I6 y6 X
%CAl Lsu-------------------------6 Lsu0=diag(MU_MAX)*diag(su)*ones(length(su),1)-MU*ones(length(su),1); 9 ?: ~* Y, M5 w5 H, H3 @
%Calculate Newton Iteration Îó²îµü´úÁ¿ END!!!
+ ~1 a& p6 u* K, d% e* C%%
" J$ L9 K. t* Q. H& k%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿
- U* S5 X8 Y$ t( Y+ s: e7 R2 h$ n
%1st Step: ·ÂÉäÐÞÕýÁ¿delXaf,·ÂÉäÐÞÕýÁ¿delLamaf : s/ V1 c H9 I- d) ^' d1 P4 _
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã
, N s5 ~: s/ n% |for i=1:60
temp=temp+Lam(i)*Hh(:,:,i);
. n9 M3 {: k+ x5 cend
tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg';
3 M* X: [2 [! q/ kfor i=1:42
tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
. K9 q& A7 i) P) M9 Pend
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg';
+ c, D& r5 K4 Q2 @' J- Sfor i=1:42
tempgMUg2(i,:)=tempgMUg2(i,:)/su(i); - k5 U+ N2 w! ]3 M% P3 d" B
end H=Hf-temp+tempgMUg1+tempgMUg2; % W2 R) l5 u# c+ `2 s( U
%S2:·ÂÉäKESAaf tempgMUg1=0; tempgMUg1=diag(MU_MIN)*sl+diag(MU_MIN)*LMU_MIN0; 5 x6 _3 k: A" ?0 T3 `
for i=1:42 tempgMUg1(i)=tempgMUg1(i)/sl(i); - T3 V- d' b! _( e! v8 U
end tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=diag(MU_MAX)*su-diag(MU_MAX)*LMU_MAX0;
) M5 V8 A0 e- Y @% ~+ yfor i=1:42
tempgMUg2(i)=tempgMUg2(i)/su(i);
, G O* E& @9 N- {2 ?+ C! ]end
tempgMUg2=Jg*tempgMUg2; KESAaf=LX0+tempgMUg1-tempgMUg2; / |6 Y: e% O. \( [
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)];
- E0 v, b7 l; i5 @8 t%S4£ºRESULT
RESULT=-[KESAaf;LLam0]; 5 X$ F: Q) u( I7 t0 T" U
%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
0 @# S9 |; R- i E- P* E
, s: v0 t, ?0 O7 H: D2 y" G" O%2nd Step: ·ÅÉäËɳڱäÁ¿ÐÞÕýÁ¿delslaf, delsuaf
$ i6 s( _6 O! c: Q ]3 V/ O6 ~) O* Y
%S1: delslaf delslaf=Jg'*delXaf+LMU_MIN0;
- O: @7 j" P. A4 k$ Z%S2: delsuaf
delsuaf=-Jg'*delXaf-LMU_MAX0;
5 g- m1 W5 {5 j/ h0 R0 J
4 |5 }4 c' K" t1 a( k: u d% M' p
%3rd Step: ·ÅÉäÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MINaf,delMU_MAXaf
0 w8 K4 C2 K! P7 u% k$ h: a6 n%S1: delMU_MINaf
temp=0; temp=-Lsl0-diag(MU_MIN)*delslaf;
9 z4 z; x; r- i# Lfor i=1:42
temp(i)=temp(i)/sl(i);
& _& X- c7 A' r# o3 U1 v* x. {end
temp(13)=0; delMU_MINaf=temp;
& s1 w' Y& V k8 G%S2: delMU_MAXaf
temp=0; temp=-Lsu0-diag(MU_MAX)*delsuaf; # Z% ]6 f4 Z: j# K- r2 W+ P
for i=1:42 temp(i)=temp(i)/su(i);
; M- \1 y, t; U$ Vend
temp(13)=0; delMU_MAXaf=temp;
) s# ^/ }" u3 i, F2 m, J5 X
+ a# W! L* _3 b3 o; N) y9 t5 a/ K1 r) v
%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ END!!!!!!!!!!!!!! 9 v3 G9 u5 q4 r! H, F! s5 \
& X0 T( c, t' q* w4 V
%%
* h$ C/ Y6 c! N h! ?: t%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPpaf£¬ STEPdaf
D N$ u/ C( z# o% l( v. r%S1: STEPpaf
* Q9 |% e" r) D& @5 D% [for i=1:42
2 S3 P. f: C0 K& m1 y7 u$ P
if (delslaf(i)~=0) temp1=-sl(i)/delslaf(i);
! J+ V* p4 t7 Belse
temp1=Inf;
. `9 Q; p# {1 G- I+ `0 A8 g9 Z' Iend
( N7 ?" J1 {% R% t& Q. x& F5 Yif (delsuaf(i)~=0)
temp2=-su(i)/delsuaf(i); ! p+ }0 K" G$ m8 V% t" i, S
else temp2=Inf; . L( P9 }* W) w" w: f+ x% d5 T
end 9 J# T) R* |/ X; T' n7 Z. a
if temp1<temp2 min=temp1;
0 H1 h4 g7 S5 {( K8 k; relse
min=temp2;
( V( Q4 c* v+ h0 f6 nend
F! S8 W9 F# p6 A( p
if min>1 min=1; ( ^+ R8 l3 R- r$ f; |$ Z8 |$ q& h# ~
end
6 Q) W. b, I! Mend
STEPpaf=0.9995*min; ; T" E6 i1 y% ~ Q G
%S2: STEPdaf
1 {( _! ?% P$ Z* d* Zfor i=1:42
temp1=-MU_MIN(i)/delMU_MINaf(i); temp2=-MU_MAX(i)/delMU_MAXaf(i); % }' w) y0 Y: s4 h6 G# I. M
if temp1<temp2 min=temp1; 7 X* y& k) Z" _4 B) |/ T
else min=temp2; / l% k6 l# Q, c% {, y
end
4 k' z8 H$ w, |8 a5 }2 aif (i==13)
min=0;
: q* ~1 F+ y- [( A! x4 F) ~7 S* dend
6 s5 ]$ ]. g& L0 u* g: Bif min>1
min=1; + F, H7 E: m3 T0 ]( o/ Y" N* f" y
end ) ]0 N% @" V9 j( T' c
end STEPdaf=0.9995*min;
6 Y+ o3 R" p) M, q) u r8 K" Y% l%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd END!!!!!
7 C4 O" U r/ U
$ U9 c6 \/ p( z H6 K8 {+ T l%¼ÆËã·ÂÉä¶ÔżÒòÊý¼°³Í·£Òò×Ó%
ROUaf=(sl+STEPpaf*delslaf)'*(MU_MIN+STEPdaf*delMU_MINaf)+(su+STEPpaf*delsuaf)'*(MU_MAX+STEPdaf*delMU_MAXaf);
' Q- j* d& u! ^0 Qif (ROUaf/ROU)^2<0.2
SIGMA=(ROUaf/ROU)^2;
7 n0 |4 D+ d6 j3 A) Pelse
SIGMA=0.2;
' t( `% s5 l0 dend
MUaf=SIGMA*ROUaf/(2*length(sl));
6 T6 v: h7 J! a%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;
# v x& H& V; g. X( \%Calculate Newton Iteration ÐÞÕýÁ¿
2 H: U" L W# t1 \# f6 a6 \
%1st Step: УÕýÐÞÕýÁ¿delX,ÐÞÕýÁ¿delLam ! C9 G7 q% g( \" O
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã / B- b, R( Y, D2 \
for i=1:60 temp=temp+Lam(i)*Hh(:,:,i);
# F3 l7 C) s8 o8 a, H7 q( tend
tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; , {9 W+ A/ d2 g& m- `
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
! H' ~7 o- U- H/ }end
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; - @2 Z2 n. A8 H2 ]) M
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i); : l) Q$ Z# X3 Z F5 x \
end H=Hf-temp+tempgMUg1+tempgMUg2; n- c/ ^$ \$ c7 Y
%S2:УÕýKESA tempgMUg1=0; tempgMUg1=Lsl0+diag(MU_MIN)*LMU_MIN0+diag(delslaf)*delMU_MINaf;
# v+ j2 `# Q! Mfor i=1:42
tempgMUg1(i)=tempgMUg1(i)/sl(i);
; S5 u, B0 v7 ~end
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=Lsu0-diag(MU_MAX)*LMU_MAX0+diag(delsuaf)*delMU_MAXaf;
9 @, {3 p4 n. F' V1 J9 Ffor i=1:42
tempgMUg2(i)=tempgMUg2(i)/su(i); 2 v3 \6 b) A: ?0 |+ b5 L9 K5 W; }
end tempgMUg2=Jg*tempgMUg2; KESA=LX0+tempgMUg1-tempgMUg2; - C- A2 e3 M+ t3 Z4 x$ C# `
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)]; 3 Q$ ~& W9 l5 ?: N: a, l- C
%S4£ºRESULT RESULT=-[KESA;LLam0]; # e$ O, n$ G. q2 z' F" q
%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 1 G; \( s4 N1 [
* R/ x8 ]% J% W% |%2nd Step: УÕýËɳڱäÁ¿ÐÞÕýÁ¿delsl, delsu
/ c$ x9 [. g3 R! @- j%S1: delsl
delsl=Jg'*delX+LMU_MIN0;
3 I; T0 O# Q0 Z. d%S2: delsu
delsu=-Jg'*delX-LMU_MAX0;
2 ~' p$ I2 K) p4 u c2 W4 } R
+ B, y3 e. \- U0 y6 N/ i
%3rd Step: УÕýÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MIN,delMU_MAX
; k7 D4 o7 x+ k: ~' D%S1: delMU_MIN
temp=0; temp=-diag(MU_MIN)*sl+MUt*ones(42,1)-diag(delMU_MINaf)*delslaf-diag(MU_MIN)*delslaf; / `; j# ~1 ^1 \0 W! u8 t
for i=1:42 temp(i)=temp(i)/sl(i); 6 Q: O$ M8 l7 M! c- l
end temp(13)=0; delMU_MIN=temp;
( _ H8 P# J \! W: v%S2: delMU_MAX
temp=0; temp=-diag(MU_MAX)*su+MUt*ones(42,1)-diag(delMU_MAXaf)*delsuaf-diag(MU_MAX)*delsuaf;
# z! y. ]% X; e4 L8 E. E8 ?for i=1:42
temp(i)=temp(i)/su(i);
& o% @( H/ O7 p Y4 q( Qend
temp(13)=0; delMU_MAX=temp; " E. L0 @) ~: P+ O
. b& z S. `# Y( M t+ X4 r
%Calculate Newton Iteration ÐÞÕýÁ¿ END!!!!!!!!!!!!!!
0 z8 F9 F$ n* ^1 a; U% K& h%%
8 I7 D% }* M& y' a4 p%¼ÆËãУÕýÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd
% H8 n2 q2 b& n9 e; R1 h f%S1: STEPp
0 e, B, ], B/ `3 O3 a6 \, ~% ufor i=1:42
a/ ?+ P* P' Uif (delslaf(i)~=0)
temp1=-sl(i)/delsl(i);
# o5 g4 ~. C0 o7 D- S0 ?else
temp1=Inf;
: f$ l* U N( e# F& r# r6 n/ oend
* [0 ~( e6 q7 N0 H7 ?. p' U, d
if (delsuaf(i)~=0) temp2=-su(i)/delsu(i);
' A: z; o9 ]! ` w! }else
temp2=Inf;
& e0 i& b# G9 Bend
1 w, O* ^0 u' y d6 t6 X
if temp1<temp2 min=temp1;
) [. y9 {' f v- z$ jelse
min=temp2;
! M% n0 {# S: Y/ yend
% Q6 V. n9 D1 {* _' jif min>1
min=1;
; N) C% o, n! O# A& h* d) rend
: e' ?, ~$ Q+ O; L9 q% G/ p, U% w
end STEPp=0.9995*min; 9 E1 n& [ c& S; A0 Q
%S2: STEPd
. P; P8 y- P' c2 A3 j; hfor i=1:42
temp1=-MU_MIN(i)/delMU_MIN(i); temp2=-MU_MAX(i)/delMU_MAX(i);
8 D v5 g: q- P: nif temp1<temp2
min=temp1;
8 F4 @0 B9 R8 z% ]else
min=temp2;
, }2 w/ s8 Y' ~7 O) ?end
7 I$ I/ V7 P2 G! I! C
if (i==13) min=0; ) \; \: j4 Y8 p; T& D" P2 U
end
- J% U, g& r9 {) `' }+ _if min>1
min=1; 3 z& O$ q. r$ i# e$ r3 ?: a0 k
end 2 r! }1 l8 p4 Z; f% S5 Q$ Z
end STEPd=0.9995*min; ! a" S2 q6 e7 v8 u8 S* W
%¸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); 7 a: m; F0 i; \. s$ c* |
%¸üÐÂÔ Ê¼±äÁ¿ºÍ¶Ôż±äÁ¿ END!!!
: G1 U! j) z, l% S" t1 z( }
8 ?) D i2 v. ?5 ^' a+ o
%¼ÆËã¶Ôż¼ä϶% ROU=sl'*MU_MIN+su'*MU_MAX; MUt=SIGMA*ROU/(2*length(sl)); . G2 l+ n! A; ~6 k' Q6 @7 y
%% . j7 N B ^7 G* K- B
%ÅжÏÊÇ·ñ³¬¹ýµü´ú´ÎÊý ik=ik+1;
( M1 h% x, j5 K i. L; l7 Z# }if ik>IterNumMAX
disp('IterNum ERROR!!!!!');
0 @+ M4 n* x; K( i5 c6 k9 `break;
0 t7 l2 H5 W# R% F/ {2 }! k. i6 G# E
end ' Y2 H4 q/ b$ e2 B( w. I! o$ F
end et = etime(clock, t1); %% %Êä³ö²¿·Ö
, v# I$ ~% q F% g7 T3 X- g* Y
if (ik<=IterNumMAX) 0 e" I: _5 d. ?# S
%% + u. u( X* m+ g6 J* e D% [/ p
%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 1 `5 B3 r; y5 f9 m. a
max=-10;min=10; for i=1:ik temp=LLam0(i);
7 n" R) n4 T# R4 O( N U! dif (temp>max) max=temp;
" v0 [! V0 \& }1 E" k9 P+ q8 B" k
end
/ H! b) p( t" |8 a# iif (temp<min) min=temp;
8 W4 B! E3 I5 J4 [( n* j
end 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(' ------- -------');
& b) {+ q1 r, K8 b7 w& Xfor i = 1:30
fprintf('\n%5d%7.3f%9.3f', i,X(i+12),X(i+42)*180/pi);
4 C( P m# Y& B2 g$ J2 N! G" y- lif (i<=6)
fprintf('%10.2f%10.2f', X(i)*baseMVA, X(i+6)*baseMVA);
# K/ G, a$ l S6 r' velse
fprintf(' - - ');
" L6 m; j( ^; g% f2 a6 T% S8 M/ {end
fprintf('%10.2f %9.2f', bus(i, 3) , bus(i, 4) ); fprintf('%9.3f %9.3f', Lam(i),Lam(i+30)); ' [; o) _' _0 ]$ c% @" A% R9 P: E
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'); ! W4 f+ T2 x0 V
end / v: L) h# a' K* a
end
5 y& C; Z5 O5 }%%
%%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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