回复 2# redplum
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首先谢谢指教; }; B3 S) f9 ~& ]" j
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)
% l* f& T0 ^: C: l%%
L) ]/ Y( s! n* i! Q$ B' {%Calcute h,g matrix
ROU=sl'*MU_MIN+su'*MU_MAX; errArr=[errArr;ROU;]; SIGMA=0; MU=SIGMA*ROU/(2*length(sl)); %ÖÐÐIJÎÊýÖÃÁã% * k3 }8 B& c' e
for i=1:30 temp=0; r0 e8 V2 G. D" P" ?6 s1 C) d. u& Y
for j=1:30 temp=temp-V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j));
% J: K" r- x5 x* g" r; {end
, r( Z% } | U( O
if (i>6) tPg=0; 5 u. T+ d3 q, b. Q. ^1 y. n
else tPg=Pg(i); * e. J6 U& z5 u+ i
end h(i)=tPg-Pd(i)+V(i)*temp; 4 ?9 n* m6 ~" U% f' H, _
end , b% u$ Q5 t: M: { ?: K
for i=1:30 temp=0;
3 g5 N6 l" b7 p) F, v* Jfor j=1:30
temp=temp-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j));
" Y3 o6 N- Z1 a& c& g8 W# c0 Lend
! z. ]. a6 e1 w W& eif (i>6)
tQg=0; ' }7 U1 b5 [. y" q4 z
else tQg=Qg(i); + _3 o/ Z1 K8 N% K. o+ r1 ^
end h(i+30)=tQg-Qd(i)+V(i)*temp;
+ U9 \+ Q/ X8 G, Iend
+ I U* s; a" {. R+ M. l( N; {% Cal h END
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for i=1:6 g(i)=Pg(i); g(i+6)=Qg(i);
$ ?# M( S4 a% @( ]end
% @. ?) G+ r# _( W! r6 m
for i=1:30 g(i+12)=V(i);
9 {' Q( [- w% Pend
9 B6 h: {: P4 l' E+ V% Cal g END
+ c/ ]6 J/ ]- b# }* a
%Calcute h,g matrix END
% H8 Y3 o' B5 V%%
3 [6 u1 j7 e, `! E%Calculate Jacobian&Hessian matix
- K- e ^ @5 i% x( U' s! \%First Step: Jf,Hf
$ h/ w: E0 |6 u" B* @) Ofor i=1:6
Jf(i)=2*gencost(i,5)*Pg(i)+gencost(i,6); Hf(i,i)=2*gencost(i,6);
0 }6 ^0 u2 x* j2 a, `1 iend
6 Z( j( K3 o2 Q
%Second Step: Jh, hΪµÈʽԼÊø
% l; H+ ^9 k) j8 G' Yfor i=1:6 %Ç°6ÐжÔPgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö
Jh(i,i)=1; , f0 ^0 ^1 m& `7 u) d
end
$ ?- A( s9 V' Nfor i=7:12 %7-12ÐжÔQgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö
Jh(i,i+24)=1; 8 C ]8 G0 D& I: @4 B; d3 W
end ! O2 E4 z) z" k& }! [! V
for i=1:30 %ÐγÉ13-42ÐеÄ1-60ÁÐ
- C# l( t$ L+ G; pfor j=1:30
tempVp=0; tempVq=0; 2 u9 n* d9 c& n; I4 r
if (j==i) : e7 ]% P* `4 O$ q& e
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));
, N0 @' d' C @/ F6 j3 Rend
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)); ( {9 G2 u. n0 V& h) i( i
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));
# s& ^# H' t% }, H$ Mend
9 Q5 }) D3 Z; ~ o+ V8 s
end
* g) `6 k t1 y9 r" |end
/ @7 @% r$ m% {- u# F5 W Y
for i=1:30 %ÐγÉ43-72ÐеÄ1-60ÁÐ 9 q/ Q* F: M0 R4 ~! Q6 o) A6 s
for j=1:30 tempVp=0; tempVq=0; ) {* ^* t$ v' q# ~& a; _8 l0 Y
if (j==i)
9 y% [0 c4 H- t# z- zfor 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)); ) A# E0 x! i7 U! I- B/ q3 |
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;
1 T' J. \. ~& `: Gelse
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));
, l1 ~% v2 G. c8 |9 Yend
( R* e( |1 y4 @+ b+ k' g4 W4 Yend
. I% O6 c) |% k1 y! i3 bend
/ l. t+ O$ r7 {8 o
%Third Step: Hh * j' a$ ?0 C5 T7 a$ ~
%Óй¦²¿·Ö ; v. @6 N9 v8 F f7 s
for i=1:30
, i% k2 l9 } B2 @7 z& h% Z pfor j=1:30
( j0 s: u# j8 U* j; p5 }# p/ H
for k=j:30
* R! j- g3 I/ D, c) K6 r3 fif (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 K' t- L9 k" S' x* f% n, m% m# I, gelseif (j==k&&i==j)
Hh(j+12,k+12,i)=-2*aY(j,j)*cos(Yth(i,i)); %VV temp=0; %thth 0 {( A9 h# ~ G" ~6 h! z8 i
for l=1:30 temp=temp+aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l));
& t- G9 d6 m6 i3 }end
temp=temp-aY(i,i)*V(i)*cos(-Yth(i,i)); Hh(j+42,k+42,i)=V(i)*temp; 1 X2 b; b* W% G2 |" ~1 |
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 F5 u& x' E3 h# z" I E
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); 3 ]- J: G3 c$ g9 x% Z! J2 r' h
end
, }6 B1 p$ R! ]% T3 hend
( _1 G1 B. {$ ~
end 4 C" @; C. M( q! W) |0 A
end
w1 S2 k# {- C# Z4 }%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
. l/ N7 h. m+ j- g) bfor i=1:30
, x: M( Q! Y% ~8 _' {
for j=1:30 , c! P9 [/ G% ?, F. o7 v
for k=1:30
- I) _9 p8 r8 v4 T0 eif (j==k&&i~=j)
Hh(j+42,k+12,i)=-V(i)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV 1 m# L, o( o) \9 j! w* p
elseif (j==k&&i==j) temp=0; %thV
6 s3 U2 ]- h0 [. q! L( k5 Rfor l=1:30
temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l));
+ T) a* G( N8 E. vend
Hh(j+42,k+12,i)=temp-V(i)*aY(i,i)*sin(-Yth(i,i));
% b0 s) g4 U4 C" M5 e( c2 q/ Telseif (j==i)
Hh(j+42,k+12,i)=V(i)*aY(i,k)*sin(Vth(i)-Vth(k)-Yth(i,k)); %thV 6 I. n+ ?" C2 E, R4 h! H! d3 ^/ s* Q
elseif (k==i) Hh(j+42,k+12,i)=-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV
7 u2 S. ^, b& Z a Yend
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end 6 {( ~( H1 y1 p0 T
end Hh(13:42,43:72,i)=Hh(43:72,13:42,i)'; : F u9 _( A: b! B2 l5 h5 P
end
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# v+ X9 T9 Z2 }. @%ÎÞ¹¦²¿·Ö
# o+ u! S# _9 f1 \+ D% Cfor i=1:30
: t9 s4 _' [+ `8 }
for j=1:30 0 _( N5 h' O) a, j4 m5 ]) f' e
for k=j:30 ) j" i0 k/ P. _% h
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
5 D [: T& W9 E) _+ K6 Y/ zelseif (j==k&&i==j)
Hh(j+12,k+12,i+30)=2*aY(j,j)*sin(Yth(i,i)); %VV temp=0; %thth : c t1 Y' c7 l
for l=1:30 temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); ( B! C4 [2 J! W/ m) T
end temp=temp-aY(i,i)*V(i)*sin(-Yth(i,i)); Hh(j+42,k+42,i+30)=V(i)*temp;
" |! D/ O( P5 \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);
" t5 } B) R/ L8 }$ @( e. ]5 pelseif (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); 7 }; ^8 G. Q9 V/ N$ ^
end 9 G" z- H$ M8 `3 h
end
+ J7 w+ P! ]* ^' Z. Rend
% \9 V* x3 Q* }* S1 G% bend
. _+ i- V: e8 U9 g0 `' t%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
+ i5 c$ C; W) A- ]( ~& ?+ gfor i=1:30
8 z* c, X5 }7 N7 L& h
for j=1:30
6 E, Y! @" |+ K( Gfor k=1:30
( Q" B& r( j3 h) X Oif (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 3 I& B6 l1 e/ h) S. j
elseif (j==k&&i==j) temp=0; %thV
; p3 v/ x( }. \for l=1:30
temp=temp-aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l)); : x1 R \2 v# K
end Hh(j+42,k+12,i+30)=temp+V(i)*aY(i,i)*cos(-Yth(i,i)); ! k' i, |3 @" ]5 q$ `& e6 E% B& C
elseif (j==i) Hh(j+42,k+12,i+30)=-V(i)*aY(i,k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %thV + D& l9 s) s+ U8 I0 o& {% 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
+ X2 w+ e6 @- L4 G" v2 J* n: Bend
" [! g! i* S% G n
end
C% b9 u) W* ~% ?end
Hh(13:42,43:72,i+30)=Hh(43:72,13:42,i+30)';
( {& ?! p9 U8 r( w; X# W, Send
% j! e' ]; |" w* x ?- v. C4 w9 @6 E%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
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%HhÐγÉÍê±Ï N: X6 @; D' u8 E3 ~) L4 W$ E/ m @% q
%Fourth Step: Jg, Hg Jg=eye(42,42); Jg=[Jg;zeros(30,42)]; Hg=zeros(72);
( g. H7 p5 c! P) t& H; P%Calculation Jacobian&Hessian matrix END
* ?1 y6 g2 _: }1 Q%%
, z5 r( D( C3 p; m3 E: i' r3 z% K
%Calculate Newton Iteration Îó²îµü´úÁ¿
6 q; m* j1 R- b% d3 G6 K4 p- y%Cal LX0-------------------------1
LX0=Jf-Jh*Lam+Jg*(-MU_MIN+MU_MAX);
* }$ \/ c9 Y$ M3 U: D) I& o%Cal LLam-------------------------2
LLam0=h; pferr=max(LLam0); 9 g) Y i5 O& Q2 O: ~
%Cal LMU_MIN-------------------------3 LMU_MIN0=g-sl-gmin; : N* A( t, J! o6 r' q, v
%Cal LMU_MAX-------------------------4 LMU_MAX0=g+su-gmax; 8 Z+ V8 W' d: \+ @. V8 A1 t% Y
%Cal Lsl-------------------------5 Lsl0=diag(MU_MIN)*diag(sl)*ones(length(sl),1)-MU*ones(length(sl),1);
+ u0 f4 B3 n! S4 r/ y5 P%CAl Lsu-------------------------6
Lsu0=diag(MU_MAX)*diag(su)*ones(length(su),1)-MU*ones(length(su),1); 8 ^- O5 ]/ E& v* q0 I
%Calculate Newton Iteration Îó²îµü´úÁ¿ END!!!
/ I1 |4 ~% Z0 @9 I%%
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%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿
$ ^: g b1 {& R9 A%1st Step: ·ÂÉäÐÞÕýÁ¿delXaf,·ÂÉäÐÞÕýÁ¿delLamaf
) r' ~+ Q1 i' V3 O' A. f- e1 g%S1:H
temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã
- S Q R+ V9 P$ a4 \for i=1:60
temp=temp+Lam(i)*Hh(:,:,i);
5 b7 l- t E2 k' G, Y# k; d$ T6 Eend
tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg';
0 o- w! T% f& f d+ Ufor i=1:42
tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
3 j) o7 Q' h# q, vend
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; ) r$ q: V8 V4 Z: f: \
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
2 t; E. D0 O$ X& {, G; {9 Iend
H=Hf-temp+tempgMUg1+tempgMUg2; 6 l; C( e+ J% F
%S2:·ÂÉäKESAaf tempgMUg1=0; tempgMUg1=diag(MU_MIN)*sl+diag(MU_MIN)*LMU_MIN0;
0 N/ Q8 u8 ?, Y2 p8 A( A9 Kfor i=1:42
tempgMUg1(i)=tempgMUg1(i)/sl(i);
l. j* ~; |! V$ ]end
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=diag(MU_MAX)*su-diag(MU_MAX)*LMU_MAX0; . K. Z) d% M/ m; l
for i=1:42 tempgMUg2(i)=tempgMUg2(i)/su(i);
# X( A. g+ l! l: Rend
tempgMUg2=Jg*tempgMUg2; KESAaf=LX0+tempgMUg1-tempgMUg2; / L6 x- { ]) u+ z) h# \' v
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)];
3 Z+ T" V4 }: n" j4 W5 v6 \' H) S; }% O%S4£ºRESULT
RESULT=-[KESAaf;LLam0]; h. A' D i* N0 k& 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
# ^# `3 v2 r. o' |0 X( D6 M+ V
( O0 B( k$ m$ W+ b
%2nd Step: ·ÅÉäËɳڱäÁ¿ÐÞÕýÁ¿delslaf, delsuaf
* @/ v4 j2 q r- U0 m; z%S1: delslaf
delslaf=Jg'*delXaf+LMU_MIN0;
; e8 D/ S& k* a$ \6 A%S2: delsuaf
delsuaf=-Jg'*delXaf-LMU_MAX0; ! E9 S( h$ c$ F+ q/ }. l
6 L/ ^1 J' @8 s5 B6 K. m9 r( ~5 Y7 [%3rd Step: ·ÅÉäÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MINaf,delMU_MAXaf
. ^: o5 r% g, U
%S1: delMU_MINaf temp=0; temp=-Lsl0-diag(MU_MIN)*delslaf;
2 h+ | s6 I# X2 @for i=1:42
temp(i)=temp(i)/sl(i);
6 M- r x v( C6 J3 [' mend
temp(13)=0; delMU_MINaf=temp; ( P$ K3 A6 P( ]9 m" k6 f0 b6 B n+ p: D
%S2: delMU_MAXaf temp=0; temp=-Lsu0-diag(MU_MAX)*delsuaf;
3 x* P- Y7 o2 I2 }% q" sfor i=1:42
temp(i)=temp(i)/su(i);
* ]3 D! U$ d" h( Send
temp(13)=0; delMU_MAXaf=temp; 6 F$ T! j. i7 ~0 c; D5 `1 |' z
$ r2 F( @+ r+ o, C3 h. H4 V. i%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ END!!!!!!!!!!!!!!
% o: N( r: C" H, {% l/ o6 D6 l
( ?) l8 x- h/ [. u) U; Z9 e%%
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%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPpaf£¬ STEPdaf
! J& w* y9 H& j, P) X% F5 t. } \3 K( e%S1: STEPpaf
3 R( m2 ~) M' L% R! N
for i=1:42
0 d* }. T v5 fif (delslaf(i)~=0)
temp1=-sl(i)/delslaf(i);
6 w% k: f3 k5 a1 f) yelse
temp1=Inf; 7 h; W1 ]4 Y0 S0 r6 C- R8 a. z
end
/ N _, N. H' h- O- K% s0 G) U$ Aif (delsuaf(i)~=0)
temp2=-su(i)/delsuaf(i);
, v" e r' i5 K# E- r5 oelse
temp2=Inf;
7 s8 G# m5 @% t+ ^2 ?! Jend
% H7 ]3 R# ~5 ^7 C0 O) S
if temp1<temp2 min=temp1;
" M+ F1 d* Y+ I7 a- Gelse
min=temp2; ; |& M( [7 \8 Z! A+ A
end * h' [/ Q& @5 E, \9 t9 u; }* F
if min>1 min=1;
2 f; Y Y7 a: zend
/ ~$ A! T/ ?* A. f
end STEPpaf=0.9995*min;
, |5 s: o# Q6 d7 O" ~ S. [%S2: STEPdaf
- Q/ [- M' L! [: kfor i=1:42
temp1=-MU_MIN(i)/delMU_MINaf(i); temp2=-MU_MAX(i)/delMU_MAXaf(i); ! l0 f2 x2 T: m7 `# {4 S
if temp1<temp2 min=temp1; 3 u1 P- n1 x& V7 _
else min=temp2; : B; T9 @6 r2 e
end . W/ G% Q: U! X3 x
if (i==13) min=0;
8 u$ `4 U, d7 L! Mend
0 ~4 K e$ s8 ^4 A+ y% V, I, nif min>1
min=1; % U2 W' Q8 ^2 Z% m" f4 Q- e8 Q4 o
end 4 z0 Q: l# G/ J9 U }1 \
end STEPdaf=0.9995*min; $ n6 u/ C4 @; n: Z
%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd END!!!!! " F2 a" h3 s4 T4 y( v
0 r$ W" t$ T# }8 s1 q
%¼ÆËã·ÂÉä¶ÔżÒòÊý¼°³Í·£Òò×Ó% ROUaf=(sl+STEPpaf*delslaf)'*(MU_MIN+STEPdaf*delMU_MINaf)+(su+STEPpaf*delsuaf)'*(MU_MAX+STEPdaf*delMU_MAXaf); ( W2 @4 R- W/ y) u
if (ROUaf/ROU)^2<0.2 SIGMA=(ROUaf/ROU)^2;
& d h* S) B' ]' {else
SIGMA=0.2;
" b& @: {7 a& X: send
MUaf=SIGMA*ROUaf/(2*length(sl));
7 H" \0 Y0 h, S& h0 h0 c D5 m%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;
& f% g- a4 A! I( b- m; v%Calculate Newton Iteration ÐÞÕýÁ¿
7 B T& j: \" z$ s%1st Step: УÕýÐÞÕýÁ¿delX,ÐÞÕýÁ¿delLam
1 C$ r' |5 o. d7 B
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã , r0 z* U4 }+ c8 w _. h0 ^9 T
for i=1:60 temp=temp+Lam(i)*Hh(:,:,i);
* o. @" s$ q& j- ~, C. D1 Qend
tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; + N! @- C: Y/ G, I
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
& |" ^: t6 k: Send
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; $ ~( U0 ^) @+ G, Z8 {
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
) x5 G- W( }0 U9 [! Pend
H=Hf-temp+tempgMUg1+tempgMUg2; ' S9 a( z& x/ U( E7 k1 I: q+ S
%S2:УÕýKESA tempgMUg1=0; tempgMUg1=Lsl0+diag(MU_MIN)*LMU_MIN0+diag(delslaf)*delMU_MINaf;
8 h' L* R+ k" n$ D+ hfor i=1:42
tempgMUg1(i)=tempgMUg1(i)/sl(i);
9 d" j6 y, p- a) {5 bend
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=Lsu0-diag(MU_MAX)*LMU_MAX0+diag(delsuaf)*delMU_MAXaf;
* t: t6 e0 {8 W5 {for i=1:42
tempgMUg2(i)=tempgMUg2(i)/su(i);
& b4 K4 g2 ^* P) n& M: y+ Nend
tempgMUg2=Jg*tempgMUg2; KESA=LX0+tempgMUg1-tempgMUg2; , F# J/ y$ t/ B1 P! X, |0 ^0 \8 U" C
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)];
7 \! x C1 y- z0 i3 b7 f1 |8 s%S4£ºRESULT
RESULT=-[KESA;LLam0]; 5 w3 k1 l+ j3 l( b* o* a! m1 _
%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
. {0 @( {2 X$ J' H/ t/ U
3 q/ R- z) x* H7 @2 O
%2nd Step: УÕýËɳڱäÁ¿ÐÞÕýÁ¿delsl, delsu
) U6 E4 X5 p' ]0 R, _9 B+ R%S1: delsl
delsl=Jg'*delX+LMU_MIN0; ! T, m* [, P+ V& T8 I0 l$ z4 h
%S2: delsu delsu=-Jg'*delX-LMU_MAX0;
y, \. M/ x1 i$ P0 d
9 q5 Q4 l( L; J' G5 w3 ? B8 t
%3rd Step: УÕýÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MIN,delMU_MAX " c, ]5 i" W1 I! L8 h! e5 J# Z+ \0 q
%S1: delMU_MIN temp=0; temp=-diag(MU_MIN)*sl+MUt*ones(42,1)-diag(delMU_MINaf)*delslaf-diag(MU_MIN)*delslaf;
- k9 l- j3 C/ O. ^8 {5 afor i=1:42
temp(i)=temp(i)/sl(i);
; ^/ u. Q& Z) K8 z' F9 |. J- Tend
temp(13)=0; delMU_MIN=temp;
& w: F0 J7 K. u/ _. \%S2: delMU_MAX
temp=0; temp=-diag(MU_MAX)*su+MUt*ones(42,1)-diag(delMU_MAXaf)*delsuaf-diag(MU_MAX)*delsuaf;
, G: l5 A2 D. Z4 M1 @) rfor i=1:42
temp(i)=temp(i)/su(i);
+ |! A$ z$ |& S+ send
temp(13)=0; delMU_MAX=temp; , d9 t5 s! B+ [4 h" n; r
S; l( `# _/ l" _. D4 B# f
%Calculate Newton Iteration ÐÞÕýÁ¿ END!!!!!!!!!!!!!!
' q2 u0 y* W) ^* i, p! v4 r% s%%
8 } ^& E4 k6 B2 Q6 j5 C& E
%¼ÆËãУÕýÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd - D$ w' I' J4 V& h- n
%S1: STEPp
8 Y# f: e2 c( V. Y- qfor i=1:42
5 L/ F0 c6 N. ?
if (delslaf(i)~=0) temp1=-sl(i)/delsl(i);
8 `3 t/ P9 N, w$ L( ?1 R5 helse
temp1=Inf;
* ~# j* s* e0 o" q: Rend
- x- v* c2 K5 [; w7 D6 S
if (delsuaf(i)~=0) temp2=-su(i)/delsu(i); 1 _3 |! m6 h. ^( f/ ~
else temp2=Inf;
- A' b% J0 Z. z/ F, @# R1 \end
' z8 p; [6 i' j; [5 d) D3 z9 \- Gif temp1<temp2
min=temp1;
$ @$ I9 t" F- R0 b: E" selse
min=temp2; 6 Q% z" \; q2 E4 d9 v! X
end ! ~& C; d; e B0 R1 R
if min>1 min=1; $ Q" n2 U: W- L9 v0 T
end
2 |' }/ d3 {) d( yend
STEPp=0.9995*min; & ?$ A, b8 @4 t, f! a5 X" B
%S2: STEPd
- f+ x0 z! n! m7 T3 [0 Q) [- m# v! yfor i=1:42
temp1=-MU_MIN(i)/delMU_MIN(i); temp2=-MU_MAX(i)/delMU_MAX(i);
+ t& F: Y& {! @8 c; V+ Yif temp1<temp2
min=temp1;
7 I' r2 k' S+ }0 Q `else
min=temp2; % M" E: v' Q, w( W" F0 @/ r8 k( o. Y9 [
end
" x' G, u; P9 y/ \: Yif (i==13)
min=0;
1 x, F7 r4 u. xend
9 e3 Q" g; [: `1 I; A3 bif min>1
min=1;
5 R/ m' `. I' Eend
5 K. z% ]* }! y2 \3 N& V: P
end STEPd=0.9995*min; % d. N6 g# ^ b- n9 Z- r
%¸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); 6 U; q6 q( H+ K2 P
%¸üÐÂÔ Ê¼±äÁ¿ºÍ¶Ôż±äÁ¿ END!!! 6 w$ a; t7 b+ l& {7 n- G" t0 G
: S- l% C2 e$ U; v0 |" l%¼ÆËã¶Ôż¼ä϶%
ROU=sl'*MU_MIN+su'*MU_MAX; MUt=SIGMA*ROU/(2*length(sl));
6 |# m0 z4 } y) w- W%%
5 B3 k' y# h' ~# b3 w
%ÅжÏÊÇ·ñ³¬¹ýµü´ú´ÎÊý ik=ik+1;
$ k+ r) T+ d5 [/ ]1 Fif ik>IterNumMAX
disp('IterNum ERROR!!!!!'); 7 k& [8 Q O& B
break; ; w7 B( i2 m( Q$ C& U1 c9 ^
end
2 i" K( |; g9 p% B* b2 j
end et = etime(clock, t1); %% %Êä³ö²¿·Ö
4 R% d) \# z8 \% l
if (ik<=IterNumMAX)
( @6 i& K# f6 K. x% {%%
% g8 j9 h4 K8 O5 h7 c+ m3 G%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
* x) i" T# I4 ~- @# g2 |
max=-10;min=10; for i=1:ik temp=LLam0(i);
9 M, \- V; _! |- {4 I. T/ qif (temp>max) max=temp;
& Z `! o0 S, K8 ]
end
! x% K& B: f' T: xif (temp<min) min=temp;
6 O+ R9 s; b n3 ?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(' ------- -------');
. Q$ i+ _; M* r2 U- O6 _$ D% [for i = 1:30
fprintf('\n%5d%7.3f%9.3f', i,X(i+12),X(i+42)*180/pi); 5 q3 I- W9 w- c* g% g; t
if (i<=6) fprintf('%10.2f%10.2f', X(i)*baseMVA, X(i+6)*baseMVA); # {! T v3 C& t8 K
else fprintf(' - - ');
+ B( [4 U8 V: d- x; iend
fprintf('%10.2f %9.2f', bus(i, 3) , bus(i, 4) ); fprintf('%9.3f %9.3f', Lam(i),Lam(i+30)); # e& [4 _: [6 L+ b4 w" l
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'); * r' Q' K/ w+ S# `
end
% L1 ?1 i% n* _' C" eend
6 v$ b7 _2 x6 j9 n
%% %%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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