回复 2# redplum
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首先谢谢指教3 L8 q( f. p" v
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)
; S8 {1 A5 `5 i7 d%%
3 x+ g- W5 n* A%Calcute h,g matrix
ROU=sl'*MU_MIN+su'*MU_MAX; errArr=[errArr;ROU;]; SIGMA=0; MU=SIGMA*ROU/(2*length(sl)); %ÖÐÐIJÎÊýÖÃÁã% " g a+ p; B( l. D
for i=1:30 temp=0;
+ `) f A8 H6 ~* \) [for j=1:30
temp=temp-V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); 0 I2 }7 ~ d: \1 I
end K+ ] e% U4 U, k' g4 }
if (i>6) tPg=0; - v; w: ^6 B8 Z! K; V+ k9 o
else tPg=Pg(i);
+ J' U# r! C+ `8 S @7 }end
h(i)=tPg-Pd(i)+V(i)*temp; ) y0 N: H, i6 m7 b; g3 W8 f$ u
end $ f( B' q5 J6 n$ ]8 f) j+ o
for i=1:30 temp=0; ' @& q) m4 g5 y5 {0 X% u( |( _
for j=1:30 temp=temp-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j));
) ^8 V# N" p% _6 a; Iend
- m3 a8 i+ |! Kif (i>6)
tQg=0; # S3 y; A) B2 H" J) E$ O
else tQg=Qg(i);
0 D' `% p* a7 r# D% Z. Oend
h(i+30)=tQg-Qd(i)+V(i)*temp; 3 F V4 {* `- C! N! x6 e# L
end3 w+ C" ~$ o4 z+ I' h) [
% Cal h END 8 F' S V* F; }1 g" I! \$ y; L
7 J6 r( {1 K- w/ hfor i=1:6
g(i)=Pg(i); g(i+6)=Qg(i); & R2 T% P+ x [& h" W
end
4 S' W8 p. k6 ~" B9 v0 Zfor i=1:30
g(i+12)=V(i); * c- |* L2 v6 ?9 @
end
; j# O$ P$ g3 N& \/ z: @" J% Cal g END $ B7 ~' H5 y0 I2 ^
%Calcute h,g matrix END
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%Calculate Jacobian&Hessian matix
% k8 i, U$ Q( }( r/ V- B%First Step: Jf,Hf
+ E9 x1 A7 N9 B7 Nfor i=1:6
Jf(i)=2*gencost(i,5)*Pg(i)+gencost(i,6); Hf(i,i)=2*gencost(i,6);
) u9 W5 _/ w$ {& [9 }0 mend
/ y7 L* c; A9 k! E$ x
%Second Step: Jh, hΪµÈʽԼÊø n0 _" L4 y( L! `- L2 `' y0 K
for i=1:6 %Ç°6ÐжÔPgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i)=1;
/ i& G R \% ]) e( h3 X1 }end
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for i=7:12 %7-12ÐжÔQgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i+24)=1;
! c" v" L& ^7 lend
5 F# ?5 J$ g6 W, y% d O8 efor i=1:30 %ÐγÉ13-42ÐеÄ1-60ÁÐ
3 {. ^0 j& [( u1 ^' x' }" Rfor j=1:30
tempVp=0; tempVq=0;
% D4 h1 \7 Q Wif (j==i)
@) n2 v0 P( ~" ^) `( Y1 l: U
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)); ' m- H1 ]( g# p8 T* m* r3 n
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));
! l1 L& w s6 p8 s, A* K! selse
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)); 9 F9 i9 \4 P5 [. g7 G7 n
end
; a9 T- l b4 d8 A, g7 C4 d8 J/ pend
8 J1 N- i$ H# U9 s* h* B0 @1 a" Oend
r7 a% Q d0 E- G! w0 tfor i=1:30 %ÐγÉ43-72ÐеÄ1-60ÁÐ
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for j=1:30 tempVp=0; tempVq=0; 8 ^9 M& h8 G4 t8 M( ?' d0 ]- k- ^
if (j==i)
2 o4 ~/ Y. O& ^' e+ jfor 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));
8 T4 U6 f* Q. G& send
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 l6 t2 R' I; Q3 Z7 Helse
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)); ( c8 C2 g L+ E2 f: t" J
end + ~. n* H1 t/ F9 J" t
end
0 \" a. x5 I D6 F. ?. Dend
, ?- F4 |2 O7 D* m) ^5 ]6 S/ [5 y; r
%Third Step: Hh
" C, C5 q( z# n5 V+ X+ K: N%Óй¦²¿·Ö
P8 k ]2 r2 }7 `- |$ O( n
for i=1:30
~; X7 J6 [$ y. Ffor j=1:30
( f6 B* S+ R7 T) |* m# A* ^' r# c
for k=j:30 ?" G" H$ E4 y. R
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
3 ?5 _; E* Y2 x2 Jelseif (j==k&&i==j)
Hh(j+12,k+12,i)=-2*aY(j,j)*cos(Yth(i,i)); %VV temp=0; %thth
) q# }" f) o. c& Tfor l=1:30
temp=temp+aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l));
/ Y2 `" ]3 g) K( Gend
temp=temp-aY(i,i)*V(i)*cos(-Yth(i,i)); Hh(j+42,k+42,i)=V(i)*temp; & \& U9 Z X* u# f) }+ `3 Y
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); 9 r) K2 D5 b1 A: H6 m
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);
- S1 X* t2 t5 n* t" p* y. c* E8 Wend
: ^, J. f y& u }$ \
end
( p6 e2 q: Y! d) `8 |% \ bend
, r+ N; ]& P: Tend% W K7 J( k" r" l0 e+ N$ k1 o
%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
" }; k- r+ X8 i/ F0 Z4 V4 O Gfor i=1:30
7 ~1 t8 V" I" O! a, `
for j=1:30
& [1 s8 o! M P3 p( W, n. Q! [ @for k=1:30
! o+ `8 D, c* E& c- O& X$ Jif (j==k&&i~=j)
Hh(j+42,k+12,i)=-V(i)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV $ V, V4 y( G4 C' _
elseif (j==k&&i==j) temp=0; %thV
3 @: j& r' o% r' H& c* dfor l=1:30
temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l));
) P9 c/ x( V u0 w" W: {5 Vend
Hh(j+42,k+12,i)=temp-V(i)*aY(i,i)*sin(-Yth(i,i));
2 l3 p2 \* p- N- n H, V" zelseif (j==i)
Hh(j+42,k+12,i)=V(i)*aY(i,k)*sin(Vth(i)-Vth(k)-Yth(i,k)); %thV
: u& n3 x/ C( [$ O, w+ d2 relseif (k==i)
Hh(j+42,k+12,i)=-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV
, ?* |$ e6 h. H6 K8 ]# K u: j. Mend
+ B7 I! o$ I! X% h- Uend
3 p" I9 p/ {- [/ I5 vend
Hh(13:42,43:72,i)=Hh(43:72,13:42,i)';
8 q& T6 J3 ^# v) kend
. v* _( m, V @) ?%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
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%ÎÞ¹¦²¿·Ö
, X" _) v; Q% y y, i, b i; ifor i=1:30
4 B: W# B0 p" r$ \2 ]9 afor j=1:30
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for k=j:30 " _1 G& X; m3 \3 J% Q! @' z$ y: o% M
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
1 P" X7 N: Y) o+ v# Q8 I" j: W( oelseif (j==k&&i==j)
Hh(j+12,k+12,i+30)=2*aY(j,j)*sin(Yth(i,i)); %VV temp=0; %thth 2 n3 m5 Y6 ~9 w
for l=1:30 temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); 2 k1 i1 x8 `; U* x1 t8 b; ?
end temp=temp-aY(i,i)*V(i)*sin(-Yth(i,i)); Hh(j+42,k+42,i+30)=V(i)*temp; 0 B, Z- J5 A! W
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); 3 Z4 D+ z: L: X# u) R, F9 f; U( r
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); , G# Q( f6 I) R: ?
end
e7 b* U7 r O; w; j) ^1 K" L) Mend
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end
: W3 g1 n: A: O, B# Uend
. v" n& f2 V; U%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
- L$ l5 P+ s; o1 v( G4 E& _
for i=1:30 ! Q- |6 S0 {. r, [% {& T% j0 W
for j=1:30
: l: L+ O6 P& r+ O' F% n' Y( i! sfor k=1:30
; ?0 u8 D& Q/ r
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 % X1 X# R$ M1 m& o$ Z' s- ] l
elseif (j==k&&i==j) temp=0; %thV ' H( _4 O- m! R! T0 E
for l=1:30 temp=temp-aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l));
5 c% }7 ` ]! s& y* Tend
Hh(j+42,k+12,i+30)=temp+V(i)*aY(i,i)*cos(-Yth(i,i));
8 S% Z) K5 W# C& Helseif (j==i)
Hh(j+42,k+12,i+30)=-V(i)*aY(i,k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %thV 4 @2 M1 _4 w8 |6 z# c; M
elseif (k==i) Hh(j+42,k+12,i+30)=V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thV
( H9 T" m% H* E+ Q5 O- v9 u# _/ Wend
& T# a) p h: l) e. B
end
! n7 ~% y+ s. R( B# l; h1 R/ B4 R0 Uend
Hh(13:42,43:72,i+30)=Hh(43:72,13:42,i+30)';
" `) G0 W& Z4 J, s4 T6 Tend
5 c: z# C" j" Q! W9 r/ U%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
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%HhÐγÉÍê±Ï 3 C/ L. n8 r U
%Fourth Step: Jg, Hg Jg=eye(42,42); Jg=[Jg;zeros(30,42)]; Hg=zeros(72); 5 Z6 _2 V" b; F) J& }4 W" H8 L3 R
%Calculation Jacobian&Hessian matrix END
: u# n- `' v; @9 S1 K% M6 n%%
s5 O/ Q: t. a# F; B
%Calculate Newton Iteration Îó²îµü´úÁ¿ : |' M) Y+ P; ^0 ]3 ~+ r2 v
%Cal LX0-------------------------1 LX0=Jf-Jh*Lam+Jg*(-MU_MIN+MU_MAX); " S; C! k7 @! P' f) I2 P! b' \. B
%Cal LLam-------------------------2 LLam0=h; pferr=max(LLam0); 0 Q. Z* W; x: k. e" E
%Cal LMU_MIN-------------------------3 LMU_MIN0=g-sl-gmin; : C9 j4 v2 |2 k: [* C7 k' p3 F
%Cal LMU_MAX-------------------------4 LMU_MAX0=g+su-gmax; . f) A `# @6 V. A. ?' u& ^
%Cal Lsl-------------------------5 Lsl0=diag(MU_MIN)*diag(sl)*ones(length(sl),1)-MU*ones(length(sl),1);
5 R# b; a8 U! k! z- p! j1 }%CAl Lsu-------------------------6
Lsu0=diag(MU_MAX)*diag(su)*ones(length(su),1)-MU*ones(length(su),1);
+ @, o& a [# J9 k' K%Calculate Newton Iteration Îó²îµü´úÁ¿ END!!!
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%% ^! V5 [1 O# h6 h
%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ 6 N' q/ _" o9 @
%1st Step: ·ÂÉäÐÞÕýÁ¿delXaf,·ÂÉäÐÞÕýÁ¿delLamaf 6 D& ]' Q/ r4 G& j' S
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã
! P! R% M3 X7 t- lfor i=1:60
temp=temp+Lam(i)*Hh(:,:,i); # X+ I ?9 ?6 K; S' O' o" C6 a: x
end tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg';
& m; E; y( P& x0 tfor i=1:42
tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
" E9 ~3 j7 i1 \7 X1 _! Z9 }# W/ wend
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg';
$ a. n5 ^2 L) Mfor i=1:42
tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
O; x( i, Y. B5 Rend
H=Hf-temp+tempgMUg1+tempgMUg2; , b/ O- k, D" ]# s/ H
%S2:·ÂÉäKESAaf tempgMUg1=0; tempgMUg1=diag(MU_MIN)*sl+diag(MU_MIN)*LMU_MIN0;
: d' j5 Q! |) P0 F# r) N( I* Nfor i=1:42
tempgMUg1(i)=tempgMUg1(i)/sl(i); 6 T. s7 ?/ S" H; r0 N
end tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=diag(MU_MAX)*su-diag(MU_MAX)*LMU_MAX0;
- e+ a$ u1 _# \for i=1:42
tempgMUg2(i)=tempgMUg2(i)/su(i);
. z$ S8 N, {( S4 E; {end
tempgMUg2=Jg*tempgMUg2; KESAaf=LX0+tempgMUg1-tempgMUg2; ( H0 d6 l; l% f- D
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)];
% j" F/ `* _' X) K6 q* e%S4£ºRESULT
RESULT=-[KESAaf;LLam0];
* P1 u/ \1 A% q3 R" e2 X/ l%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
* I2 e: H( a0 b8 E
' i# S' h7 L& }4 k$ ^8 i* Z1 B%2nd Step: ·ÅÉäËɳڱäÁ¿ÐÞÕýÁ¿delslaf, delsuaf
1 h9 A1 l8 w3 |" i5 k6 d/ V
%S1: delslaf delslaf=Jg'*delXaf+LMU_MIN0;
' s4 O% p- }) B- H- ?3 b%S2: delsuaf
delsuaf=-Jg'*delXaf-LMU_MAX0; ) V. S& c. t; q2 f+ r6 k; y# Y
1 d; w/ d C8 f# P
%3rd Step: ·ÅÉäÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MINaf,delMU_MAXaf
" c4 X/ Z& h8 ~" p q%S1: delMU_MINaf
temp=0; temp=-Lsl0-diag(MU_MIN)*delslaf;
$ ?6 {: E1 t# `8 D% I' Yfor i=1:42
temp(i)=temp(i)/sl(i);
$ V b) N5 i4 M. ~2 w* P0 }, f+ Gend
temp(13)=0; delMU_MINaf=temp; ( r' t9 H: |3 S: x: y0 s* y
%S2: delMU_MAXaf temp=0; temp=-Lsu0-diag(MU_MAX)*delsuaf; # F! Q6 r4 K; j& L5 ~
for i=1:42 temp(i)=temp(i)/su(i); ( a* H8 g$ F$ {' a0 @' E
end temp(13)=0; delMU_MAXaf=temp;
J, T& ?5 f# ?" S o4 l9 y
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%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ END!!!!!!!!!!!!!!
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! y7 |! H3 S( z* B/ z5 o1 _! \%%
Y: |6 }1 P9 k( h/ C; _0 c( u3 [%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPpaf£¬ STEPdaf
) g3 y! e: x. G$ D
%S1: STEPpaf 5 M& P$ R8 w- y5 I- H9 y' q
for i=1:42
* P. ]& t+ t+ X& ?4 qif (delslaf(i)~=0)
temp1=-sl(i)/delslaf(i); + f Z' j( `3 o) D( p
else temp1=Inf;
8 `0 L! E. U! f9 ^4 }6 `" C- Eend
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if (delsuaf(i)~=0) temp2=-su(i)/delsuaf(i); ; X6 }. P8 _2 [0 }- D
else temp2=Inf;
4 f" ~ W; d, t b" K& ?% xend
" E3 S4 E4 P& L& I+ Tif temp1<temp2
min=temp1; & J- C/ y4 n/ Q/ i% Z. S: G
else min=temp2; $ j( E) f- x; w4 R; p b: o
end
+ F# z: e' t& E3 i3 ?: vif min>1
min=1; 5 x+ K2 k/ U7 o
end # E5 ~1 E3 o2 K2 T/ [
end STEPpaf=0.9995*min;
9 u# \+ w( v3 O: \ b7 O' E%S2: STEPdaf
' L3 B# J' Z8 ]. k2 G
for i=1:42 temp1=-MU_MIN(i)/delMU_MINaf(i); temp2=-MU_MAX(i)/delMU_MAXaf(i); % g' k3 m. c7 Q8 {0 s! ^- t; x; i
if temp1<temp2 min=temp1; : _" F6 S# K' c: t( C
else min=temp2;
: q0 P/ @- Z) ^; `9 z3 O& ?' S6 wend
0 }( Y, G# R$ h
if (i==13) min=0; / N M# B5 A7 b, [+ p3 c8 p) y; x
end 8 f6 ?6 F; U+ \; {* s
if min>1 min=1;
1 Q/ U' @1 u6 s6 rend
8 P6 i9 B W" w
end STEPdaf=0.9995*min;
. g1 L; Z/ \& ]% J0 A%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd END!!!!!
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+ N9 M. |9 e* ~
%¼ÆËã·ÂÉä¶ÔżÒòÊý¼°³Í·£Òò×Ó% ROUaf=(sl+STEPpaf*delslaf)'*(MU_MIN+STEPdaf*delMU_MINaf)+(su+STEPpaf*delsuaf)'*(MU_MAX+STEPdaf*delMU_MAXaf);
! v9 O: s5 D2 _% Z+ L/ M5 w# K6 |if (ROUaf/ROU)^2<0.2
SIGMA=(ROUaf/ROU)^2;
" K: A/ V0 |3 V" b6 D9 Kelse
SIGMA=0.2; 7 v" \; }7 c ?3 V# U1 G8 m
end MUaf=SIGMA*ROUaf/(2*length(sl));
6 J1 F# P0 K5 W/ C%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;
. X4 j' r4 j9 ~%Calculate Newton Iteration ÐÞÕýÁ¿
* A, B: o0 G# z$ v
%1st Step: УÕýÐÞÕýÁ¿delX,ÐÞÕýÁ¿delLam % a% d; ^# t% W6 Z
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã
; C8 j$ w. ~$ R+ c' p' P5 F+ ]for i=1:60
temp=temp+Lam(i)*Hh(:,:,i); ( Q" w) T9 U* s/ b* [
end tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; 7 Q. s. q! r h2 S
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
% t0 v+ k6 D+ K# X6 \( q8 Eend
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; 8 n/ s9 s, `# ]
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
7 R k1 W) t& L; oend
H=Hf-temp+tempgMUg1+tempgMUg2; - d Z' Z6 X/ V6 D
%S2:УÕýKESA tempgMUg1=0; tempgMUg1=Lsl0+diag(MU_MIN)*LMU_MIN0+diag(delslaf)*delMU_MINaf; 4 b! H7 W0 c E, s5 U- i# e
for i=1:42 tempgMUg1(i)=tempgMUg1(i)/sl(i); ) E. f3 c) w, D6 T$ E7 A8 ?
end tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=Lsu0-diag(MU_MAX)*LMU_MAX0+diag(delsuaf)*delMU_MAXaf; 1 V$ M( M8 U3 W% E' j
for i=1:42 tempgMUg2(i)=tempgMUg2(i)/su(i); " R$ `4 Q0 o3 P( {" J0 v
end tempgMUg2=Jg*tempgMUg2; KESA=LX0+tempgMUg1-tempgMUg2; " A8 s' X. ?, m$ P/ t1 `% B
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)];
. k- Z5 y5 S8 e0 c* r0 s& E( o* J%S4£ºRESULT
RESULT=-[KESA;LLam0]; ! |; g3 Z6 x8 D) c/ m5 t! ^ z0 T
%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 : o G6 o+ m3 i8 d4 d
0 j% o8 ?* o+ ~! @& J% b0 N) s
%2nd Step: УÕýËɳڱäÁ¿ÐÞÕýÁ¿delsl, delsu : S! R+ Y& |1 a$ F4 s
%S1: delsl delsl=Jg'*delX+LMU_MIN0;
2 V, v1 r$ [$ I9 E3 A%S2: delsu
delsu=-Jg'*delX-LMU_MAX0; $ N @( @+ x7 }( Q, C4 F7 U
) F! J1 P% O+ V%3rd Step: УÕýÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MIN,delMU_MAX
. I! j; t9 ]4 B j! `
%S1: delMU_MIN temp=0; temp=-diag(MU_MIN)*sl+MUt*ones(42,1)-diag(delMU_MINaf)*delslaf-diag(MU_MIN)*delslaf;
/ f# G7 N1 q/ Ofor i=1:42
temp(i)=temp(i)/sl(i); 5 D8 i3 |$ S9 R: M' i. u. H5 c
end temp(13)=0; delMU_MIN=temp;
5 |( l( O' o* v) \1 C* ?% R%S2: delMU_MAX
temp=0; temp=-diag(MU_MAX)*su+MUt*ones(42,1)-diag(delMU_MAXaf)*delsuaf-diag(MU_MAX)*delsuaf; 0 v9 \' ^9 C$ K3 _$ y# O6 s
for i=1:42 temp(i)=temp(i)/su(i); 8 ^# i! E3 K# I( y$ {9 \
end temp(13)=0; delMU_MAX=temp;
% _- {4 Z# f# ~2 X7 G
1 o) e& n5 H0 e4 `%Calculate Newton Iteration ÐÞÕýÁ¿ END!!!!!!!!!!!!!!
5 k; f) k& \& h2 y& `%%
, g4 S* i1 C+ q; \8 y9 |%¼ÆËãУÕýÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd
' V" l+ H# g3 e%S1: STEPp
; l# v0 ~* o( Z1 w4 mfor i=1:42
+ M8 W. r; B0 V b5 |. A) X( W( U E
if (delslaf(i)~=0) temp1=-sl(i)/delsl(i); 2 G$ ?/ `/ `: e* w6 @
else temp1=Inf; # T" h+ x' Q, P
end ) c9 T# g) D4 n9 E( L
if (delsuaf(i)~=0) temp2=-su(i)/delsu(i);
# [5 H& q& b1 V! j& [# S8 Q# Pelse
temp2=Inf; : J2 D- `5 N6 |" z6 M: f+ b" s! [( m
end ! J+ L, P9 K9 |' L" V" ^
if temp1<temp2 min=temp1; 9 k- P1 K2 @( s
else min=temp2;
?1 X& L7 _5 _ c( tend
* O5 l3 @6 v# @# `" V, c
if min>1 min=1;
7 S! {( e% u# ]( ^1 gend
; k4 T a/ @5 K1 @
end STEPp=0.9995*min; 4 t7 \6 a% S1 ^) j |. t
%S2: STEPd
9 ]$ K* f5 O* D: e, Y5 l* Lfor i=1:42
temp1=-MU_MIN(i)/delMU_MIN(i); temp2=-MU_MAX(i)/delMU_MAX(i);
; {7 y- n+ g4 s. tif temp1<temp2
min=temp1;
6 w& N" m% t$ i' h" {else
min=temp2;
" `2 {* o0 w6 t7 `) y) oend
: |) p: `5 v& n$ Bif (i==13)
min=0; + k3 I; N! Y9 y, O
end ' A: V, C" c) m8 a1 h9 m
if min>1 min=1;
* k8 ]1 {/ {. w5 [/ h6 H) ?* V, Lend
9 q- n0 v' `1 O: C! L
end STEPd=0.9995*min; 5 N: V8 Q" x3 J# P
%¸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); , R2 e0 z7 j4 W. X) D! x
%¸üÐÂÔ Ê¼±äÁ¿ºÍ¶Ôż±äÁ¿ END!!!
6 g" X) R! F! {( F# P
& ~5 K+ g' w2 `% K
%¼ÆËã¶Ôż¼ä϶% ROU=sl'*MU_MIN+su'*MU_MAX; MUt=SIGMA*ROU/(2*length(sl)); 1 ~5 U/ j" E$ {" f5 @: j# [
%%
6 F" L0 F. Y) e' t! ~# I%ÅжÏÊÇ·ñ³¬¹ýµü´ú´ÎÊý
ik=ik+1;
9 y1 z, y$ s8 v( ~) y/ \9 M! Qif ik>IterNumMAX
disp('IterNum ERROR!!!!!'); 0 s% B( c9 K& h E2 s
break; 3 v& _6 q% U, d
end L7 P; o/ V' L% ]) U; h# Z
end et = etime(clock, t1); %% %Êä³ö²¿·Ö
' t% X5 x% p9 z3 C( ^
if (ik<=IterNumMAX)
: A, {5 `% I) U! q! H%%
, {# f$ C. G/ J4 [% L%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
/ z5 d. ?2 L% m4 a+ [; o
max=-10;min=10; for i=1:ik temp=LLam0(i);
% P2 R$ g5 o; w; Wif (temp>max) max=temp;
" H2 H6 I$ {$ ^
end ! ?0 b3 j9 A6 a! |' d* B
if (temp<min) min=temp;
' N' ]& V9 A5 D. eend
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(' ------- -------');
1 U( L) a/ \8 v4 M* Y/ T0 Ffor i = 1:30
fprintf('\n%5d%7.3f%9.3f', i,X(i+12),X(i+42)*180/pi); - m, G! B9 X* i% ]2 n
if (i<=6) fprintf('%10.2f%10.2f', X(i)*baseMVA, X(i+6)*baseMVA); # u9 O9 n5 u6 a
else fprintf(' - - ');
% y4 |7 } }" M7 Vend
fprintf('%10.2f %9.2f', bus(i, 3) , bus(i, 4) ); fprintf('%9.3f %9.3f', Lam(i),Lam(i+30));
7 u! ]9 |% v+ J- \0 O( tif (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'); % h& g2 a2 F7 h$ X8 r7 N1 ]
end
9 _2 N# R! ^5 kend
' m, K/ h2 Q8 M' Y& m
%% %%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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