回复 2# redplum * Y% s. l' y* c7 n& o* D# H" \
& ?- h+ N, V5 b) W; ^2 N
9 |( v0 ?0 a |9 z 首先谢谢指教
1 K: @ ]6 ^1 i" Y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) 8 c: @3 w/ e7 j$ V a( y* G
%%
/ ]2 e' Z" H3 c$ d) K( }%Calcute h,g matrix
ROU=sl'*MU_MIN+su'*MU_MAX; errArr=[errArr;ROU;]; SIGMA=0; MU=SIGMA*ROU/(2*length(sl)); %ÖÐÐIJÎÊýÖÃÁã%
# }6 F2 h* S( Ufor i=1:30
temp=0;
9 V& o# c1 Q/ rfor j=1:30
temp=temp-V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j));
& D5 Z/ y1 ^$ d) _end
, N8 ]; ^$ K0 ?9 |+ uif (i>6)
tPg=0; 9 k& _9 O- ^% g A* U, j
else tPg=Pg(i);
! y7 H( c$ S, }end
h(i)=tPg-Pd(i)+V(i)*temp;
" J) ]5 u* c# ~* _' Vend
; u/ j* }0 o- G, Y
for i=1:30 temp=0; 9 r/ o1 z: k8 X& _( N
for j=1:30 temp=temp-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j));
% l) t- s; E- x1 Oend
1 V: |5 Z% D0 H
if (i>6) tQg=0;
+ C% r, d2 l% e7 U7 @else
tQg=Qg(i);
. W1 _, i& W; Rend
h(i+30)=tQg-Qd(i)+V(i)*temp; 3 r$ X" C1 t4 J$ Y- |+ b$ h
end
; H' Z' Z0 X) h5 i/ g% Cal h END
( U9 Y: q1 Z X4 U1 u0 Q
2 {1 W" _4 e# }, q# O% G& Lfor i=1:6
g(i)=Pg(i); g(i+6)=Qg(i);
% E" ~% b9 R. P" A# C; L, Bend
& L! s' T4 n! Q; f! F- b5 a$ ]for i=1:30
g(i+12)=V(i); 2 T, Q& ~: m, w, I6 o3 ^* r
end6 ~) H- X, K4 b) m
% Cal g END
* X& o# {* ~! U# n: l1 ~%Calcute h,g matrix END
8 k7 u, ~8 T/ v }' z%%
7 X6 _8 }2 }2 ^" U% S9 N
%Calculate Jacobian&Hessian matix ! }" G: T# M p3 k$ J) G
%First Step: Jf,Hf
0 e& p- k* I) d% C* }, t2 ]0 Hfor i=1:6
Jf(i)=2*gencost(i,5)*Pg(i)+gencost(i,6); Hf(i,i)=2*gencost(i,6); , K: J! I, X& X9 G
end . F2 M" }9 z3 W% \6 p8 Q
%Second Step: Jh, hΪµÈʽԼÊø 0 |; }8 w `* [9 [ Q: t
for i=1:6 %Ç°6ÐжÔPgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i)=1; ! n& V5 D% J5 F& U2 Q7 i3 w
end
# K {, _5 L( J' Y9 Nfor i=7:12 %7-12ÐжÔQgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö
Jh(i,i+24)=1;
3 v {" D, i R8 `0 L3 `end
S7 A4 `: d9 |' J3 nfor i=1:30 %ÐγÉ13-42ÐеÄ1-60ÁÐ
% ^- ?9 E" A9 z) N$ Cfor j=1:30
tempVp=0; tempVq=0; / e3 V: L3 m/ o
if (j==i) 0 \* B8 e5 P& g1 @
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));
# q4 O9 R) D( D, F5 ?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));
& U9 u5 P# x" c) o, t, f8 |6 lelse
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)); 1 t7 h" s- e6 u' r, G
end
9 e" m7 Q7 |3 T6 r% ?end
R0 V; L9 D; D& bend
$ i- t2 m; [2 z1 @for i=1:30 %ÐγÉ43-72ÐеÄ1-60ÁÐ
/ \0 q- s9 F2 K, I1 q
for j=1:30 tempVp=0; tempVq=0;
0 y. C5 F g; j! }" u2 `( [if (j==i)
; @3 N- }$ d& [; b; R
for 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)); 0 ?( W) C' {! n& J
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;
* K, s. c/ e3 u8 Pelse
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)); . g1 U `; O% n! c4 @" v
end : L% e; O" ~" p( q8 H
end ! J1 S; v. a9 _ j
end
~0 i) W, C( I%Third Step: Hh
' K9 P4 b$ r: |) \%Óй¦²¿·Ö
$ {! Q) ^, ^4 nfor i=1:30
+ N0 V( D2 H- I$ p5 \
for j=1:30
+ F* @, _* k* g* {0 |for k=j:30
6 j( D. `6 l: Z* o+ uif (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
' _6 c! I; S4 F, D( k9 Telseif (j==k&&i==j)
Hh(j+12,k+12,i)=-2*aY(j,j)*cos(Yth(i,i)); %VV temp=0; %thth
/ H; w& l8 Y' Q) i) I! hfor l=1:30
temp=temp+aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l));
0 l1 Q8 h* h/ P& j5 X4 e& n8 Pend
temp=temp-aY(i,i)*V(i)*cos(-Yth(i,i)); Hh(j+42,k+42,i)=V(i)*temp;
: ^ g Q' {1 p2 Q. F6 N: P6 Velseif (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);
: F& F5 h% ]+ K0 o& j% X2 h/ O# n A: h! felseif (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); % e9 a- k/ i! \
end
6 [7 k; i- k& `, k2 l# s# ]end
6 \% N9 ^( a$ `. b, }% ?end
6 E2 G5 E" D; r9 `4 A7 Rend4 Q! p+ [7 ]2 }2 w) I2 _
%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
4 B6 D. j- [% t! r. N
for i=1:30 0 e2 c$ M& Q4 B- [* a
for j=1:30 & I o. p1 g% ~% z; [: |
for k=1:30 . G7 N5 z6 i" P5 ? G+ R
if (j==k&&i~=j) Hh(j+42,k+12,i)=-V(i)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV % I$ ~ Y# E* Y& ?# j4 m8 l* U& O* `' v
elseif (j==k&&i==j) temp=0; %thV
7 b4 j" F- c9 p. D3 Qfor l=1:30
temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); % p& X+ Q/ _2 |+ J4 f$ F9 F7 T9 T
end Hh(j+42,k+12,i)=temp-V(i)*aY(i,i)*sin(-Yth(i,i));
% [9 o" ~" ]$ W b# k. ~# uelseif (j==i)
Hh(j+42,k+12,i)=V(i)*aY(i,k)*sin(Vth(i)-Vth(k)-Yth(i,k)); %thV . O0 Z' k1 `. x9 y5 j
elseif (k==i) Hh(j+42,k+12,i)=-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV ; j$ {+ N" E7 Q- E" r5 b$ C
end ; H% ^% O8 G+ p7 I5 ?. a
end
# l/ n/ ^: c8 x2 j' ~# Q, [% ^7 r6 Zend
Hh(13:42,43:72,i)=Hh(43:72,13:42,i)'; " X) @0 g$ k- [4 A' a$ p
end, J& H$ i+ z8 W3 @+ J0 Z: U( @
%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
0 a" \8 i" Q! a4 q%ÎÞ¹¦²¿·Ö
2 h; N* h! b1 e: Y5 W% ~( V5 Vfor i=1:30
A1 u. I m, F; Afor j=1:30
: A- |7 Y6 H( R1 Q8 r# q
for k=j:30 * E7 K$ |7 Y1 t# q
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
) r' Y( D0 n U1 t2 telseif (j==k&&i==j)
Hh(j+12,k+12,i+30)=2*aY(j,j)*sin(Yth(i,i)); %VV temp=0; %thth * {2 M1 l, L+ z8 z
for l=1:30 temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); * J+ K4 r% \ S! j
end temp=temp-aY(i,i)*V(i)*sin(-Yth(i,i)); Hh(j+42,k+42,i+30)=V(i)*temp;
7 k; A" E" w& ?& K1 T* h$ Yelseif (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); 2 ]/ _ m/ C7 U- P: p8 ~6 } {
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); 0 D( N; Z/ a e6 @' p5 J$ R
end
# t* E* F9 ~$ Q: q7 Q2 Q% Vend
8 ?( I8 f0 L: G3 M
end 2 _' w0 V0 I7 o" ~- @3 T7 p
end
) n; W7 K9 Q, L0 O% Z& W( G%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£© , @% l( W. I7 Z# c: x* v, b- Q4 F) U% N
for i=1:30 # y# l7 P2 B4 p& q0 c, _- e
for j=1:30
* s5 X; P. `" t" l& m8 Xfor k=1:30
+ q* W, z+ k6 bif (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 6 M% c) m- K5 o! g* f
elseif (j==k&&i==j) temp=0; %thV
) N' d4 p: P& G7 T+ u5 K( `5 Dfor l=1:30
temp=temp-aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l)); / t( z' Q! `3 z9 H5 i
end Hh(j+42,k+12,i+30)=temp+V(i)*aY(i,i)*cos(-Yth(i,i));
% z9 j. Y2 V( p* x: }/ Felseif (j==i)
Hh(j+42,k+12,i+30)=-V(i)*aY(i,k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %thV p' \( `! Y5 e
elseif (k==i) Hh(j+42,k+12,i+30)=V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thV / p8 ]8 U# x+ U5 I: q# {
end $ [; Y$ @& d5 Y2 ]! g
end
" M8 R% c" c- @6 yend
Hh(13:42,43:72,i+30)=Hh(43:72,13:42,i+30)'; 7 N! z5 f( m" d
end
0 k+ {9 m( H7 z( z5 F2 q1 f+ z%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
. i& f5 A% H4 H" a5 T' R%HhÐγÉÍê±Ï
) }% S# F, t/ U) [7 W. K%Fourth Step: Jg, Hg
Jg=eye(42,42); Jg=[Jg;zeros(30,42)]; Hg=zeros(72); 8 M$ p# N3 s, d- f; S
%Calculation Jacobian&Hessian matrix END & U% L3 B4 r4 u( p0 S
%% F5 r# I) |7 C- H
%Calculate Newton Iteration Îó²îµü´úÁ¿
* U2 t3 ? ~3 n+ ?. B%Cal LX0-------------------------1
LX0=Jf-Jh*Lam+Jg*(-MU_MIN+MU_MAX);
6 A1 a% L* x" j8 ]2 ~' x%Cal LLam-------------------------2
LLam0=h; pferr=max(LLam0); , R2 n( _& f0 D! Q
%Cal LMU_MIN-------------------------3 LMU_MIN0=g-sl-gmin;
. @8 }' R& M2 _* E, Q. x; ]. V# R, t%Cal LMU_MAX-------------------------4
LMU_MAX0=g+su-gmax;
' C4 F7 V( Q$ E) Z5 C% {% t G%Cal Lsl-------------------------5
Lsl0=diag(MU_MIN)*diag(sl)*ones(length(sl),1)-MU*ones(length(sl),1);
( U5 u4 ]' }/ h6 c# q* {3 }; X%CAl Lsu-------------------------6
Lsu0=diag(MU_MAX)*diag(su)*ones(length(su),1)-MU*ones(length(su),1); 2 |) z" ~4 Y* U( _
%Calculate Newton Iteration Îó²îµü´úÁ¿ END!!!
" X# ~# n& O7 r: f" N3 P/ V+ v) e%%
% ~$ Y# b% P2 y5 ~%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿
" W& ?( N" C) v& \
%1st Step: ·ÂÉäÐÞÕýÁ¿delXaf,·ÂÉäÐÞÕýÁ¿delLamaf ; ~: ^! V+ V b+ j: J( B
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã
! R7 P2 E; T7 p3 O* Ofor i=1:60
temp=temp+Lam(i)*Hh(:,:,i); & X3 e* ^, ]: G# K0 Y2 B7 u
end tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; ! F% {9 k4 Z+ s: z _9 q9 J5 A
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
; l: i8 s V+ b/ h2 y) v' r yend
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; ! H X5 I2 ` c* I3 E7 c' N- [1 F
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
# `( w+ ?' P7 m9 Send
H=Hf-temp+tempgMUg1+tempgMUg2; " U8 _+ |" m2 y9 @7 x
%S2:·ÂÉäKESAaf tempgMUg1=0; tempgMUg1=diag(MU_MIN)*sl+diag(MU_MIN)*LMU_MIN0; 5 P1 P/ [3 m" n
for i=1:42 tempgMUg1(i)=tempgMUg1(i)/sl(i); ) o, P: z7 n6 h! n3 _; q
end tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=diag(MU_MAX)*su-diag(MU_MAX)*LMU_MAX0; 9 y2 }6 o# s1 w4 R/ U: ^; h& u, F
for i=1:42 tempgMUg2(i)=tempgMUg2(i)/su(i);
& J5 Y8 z3 f, ?end
tempgMUg2=Jg*tempgMUg2; KESAaf=LX0+tempgMUg1-tempgMUg2; 0 b J6 z- J- N* y
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)]; 1 ]: C3 x! \" J8 c+ n
%S4£ºRESULT RESULT=-[KESAaf;LLam0];
/ m: Z# B& X% @) f* K1 b0 g%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
1 Y2 e% h+ p( {5 k/ X, @
8 M. N" B6 g+ L; V. E3 g
%2nd Step: ·ÅÉäËɳڱäÁ¿ÐÞÕýÁ¿delslaf, delsuaf 7 z, W. I g& J% }/ L3 l
%S1: delslaf delslaf=Jg'*delXaf+LMU_MIN0;
' S! d) @8 @( q: O8 X%S2: delsuaf
delsuaf=-Jg'*delXaf-LMU_MAX0; 6 a- h$ ]5 d: M1 j9 `' J; m q
5 _+ y+ x0 N/ M9 W%3rd Step: ·ÅÉäÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MINaf,delMU_MAXaf
! S, E% ]$ z9 y+ {, ~- P; E9 E. }%S1: delMU_MINaf
temp=0; temp=-Lsl0-diag(MU_MIN)*delslaf; : f C. v- c% ?6 l' \8 o
for i=1:42 temp(i)=temp(i)/sl(i);
3 `' P& h; V' _* U; ]end
temp(13)=0; delMU_MINaf=temp; & k( p* p$ h: |/ g+ a
%S2: delMU_MAXaf temp=0; temp=-Lsu0-diag(MU_MAX)*delsuaf; 2 _$ m) t! E, s
for i=1:42 temp(i)=temp(i)/su(i);
4 c& S/ T8 n+ Xend
temp(13)=0; delMU_MAXaf=temp;
1 E' }& v* E3 l& A) W
& E) X4 C8 @ | C
%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ END!!!!!!!!!!!!!! 8 X2 y. N& F4 D& y
& B/ q2 U- m; v" {%%
# {- b8 o. B- C+ F%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPpaf£¬ STEPdaf
6 @% b5 G4 ?+ \# P; G7 r%S1: STEPpaf
+ X* c! _( ]: ?
for i=1:42
, a8 m( M' L$ I+ m1 j4 `5 }1 Fif (delslaf(i)~=0)
temp1=-sl(i)/delslaf(i);
8 x# b- F0 _# k! l; Celse
temp1=Inf;
6 J; ~. ~3 b7 m- ~) Wend
2 z5 f7 p& A6 A* Dif (delsuaf(i)~=0)
temp2=-su(i)/delsuaf(i);
& V. q' c% O4 n. Z$ v: I* Welse
temp2=Inf;
0 T* X) P; c \( {/ b4 {$ Y4 O- Eend
- C% S& D: H3 pif temp1<temp2
min=temp1;
/ p; \ L* _0 ?else
min=temp2;
0 A0 n. X% D) j& K% uend
+ O4 x* \5 a9 H' w5 D
if min>1 min=1;
r1 v, d+ L v r. Dend
! p# |, X7 ?& R/ }/ c5 i
end STEPpaf=0.9995*min; 4 ~6 [. z4 C+ K
%S2: STEPdaf
! x! g/ \8 Q7 k/ \" n( x" \0 _for i=1:42
temp1=-MU_MIN(i)/delMU_MINaf(i); temp2=-MU_MAX(i)/delMU_MAXaf(i); 7 K( \% a) |4 p) |2 b
if temp1<temp2 min=temp1; 4 @/ N# p2 N0 m
else min=temp2; * x$ j6 J0 a& k% e7 ?7 U$ T4 v7 t8 R
end 8 b7 D) B2 i( j$ [( r8 q* G
if (i==13) min=0;
. t" L% ^5 ?. Xend
$ o/ Y0 b/ x, Q. n% u: \
if min>1 min=1; : u2 ?* S4 q! j! d, V
end 0 s. F6 D; z' Q) U* O
end STEPdaf=0.9995*min; 9 ^- r) o9 k/ a2 K$ N5 w# u
%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd END!!!!! $ j7 w2 I5 Z$ b$ f& ` h" F0 V
7 T4 I T6 v! ?" d& e
%¼ÆËã·ÂÉä¶ÔżÒòÊý¼°³Í·£Òò×Ó% ROUaf=(sl+STEPpaf*delslaf)'*(MU_MIN+STEPdaf*delMU_MINaf)+(su+STEPpaf*delsuaf)'*(MU_MAX+STEPdaf*delMU_MAXaf); + @( _! O( j# M
if (ROUaf/ROU)^2<0.2 SIGMA=(ROUaf/ROU)^2;
; F& @2 n. r; \9 Qelse
SIGMA=0.2;
. Z' w: Z/ o, ?' g: S. a! Mend
MUaf=SIGMA*ROUaf/(2*length(sl)); & e/ |1 q L: j3 B
%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;
( o- y; h9 O7 G5 U! ]%Calculate Newton Iteration ÐÞÕýÁ¿
* k7 Z$ b/ l( b f- J1 w
%1st Step: УÕýÐÞÕýÁ¿delX,ÐÞÕýÁ¿delLam 2 ?6 g/ D9 L X) x
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã * N. e9 r f# n: f6 \2 q! ^
for i=1:60 temp=temp+Lam(i)*Hh(:,:,i);
6 S2 \1 r4 E) c$ p, v5 L* O0 Hend
tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; 5 {& t0 a/ M# k9 B% }" _: E1 W
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
" ~5 I& N# d' \, send
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; , {1 K4 H7 o" T! ` C0 N& R0 A
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i); ! Q2 a4 X: [1 ~& A
end H=Hf-temp+tempgMUg1+tempgMUg2; " \* ?( i0 ~: j0 M
%S2:УÕýKESA tempgMUg1=0; tempgMUg1=Lsl0+diag(MU_MIN)*LMU_MIN0+diag(delslaf)*delMU_MINaf; + s! H7 {2 D0 R1 x% ~* ^
for i=1:42 tempgMUg1(i)=tempgMUg1(i)/sl(i);
7 m1 h) n) ]0 r7 G. F6 B) U: Zend
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=Lsu0-diag(MU_MAX)*LMU_MAX0+diag(delsuaf)*delMU_MAXaf; ) c( i# F4 v5 T5 x# \
for i=1:42 tempgMUg2(i)=tempgMUg2(i)/su(i); * M! F2 C5 X) D, r8 k- f+ i
end tempgMUg2=Jg*tempgMUg2; KESA=LX0+tempgMUg1-tempgMUg2; 1 W7 |; C* L4 N ?
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)]; # F* Z7 ?5 F. v3 P: L0 u
%S4£ºRESULT RESULT=-[KESA;LLam0]; - ^8 k9 G5 ? G% D3 C
%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- u% x& y" S' b% c: \
# U# J7 z/ V( s3 z%2nd Step: УÕýËɳڱäÁ¿ÐÞÕýÁ¿delsl, delsu
0 Y) f5 Q. H& r' y* u6 V& i/ H%S1: delsl
delsl=Jg'*delX+LMU_MIN0;
. T# W/ I. f9 c; P+ h%S2: delsu
delsu=-Jg'*delX-LMU_MAX0;
# u: x$ ?. D3 Q* N! P
; |7 y7 H; y1 d/ W& _, u$ B. x
%3rd Step: УÕýÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MIN,delMU_MAX 3 y [% w" P( n
%S1: delMU_MIN temp=0; temp=-diag(MU_MIN)*sl+MUt*ones(42,1)-diag(delMU_MINaf)*delslaf-diag(MU_MIN)*delslaf; 1 `+ M0 q. G h
for i=1:42 temp(i)=temp(i)/sl(i);
2 a' P4 P0 X3 }6 j- kend
temp(13)=0; delMU_MIN=temp; . M+ W4 z# i% Z. f. b
%S2: delMU_MAX temp=0; temp=-diag(MU_MAX)*su+MUt*ones(42,1)-diag(delMU_MAXaf)*delsuaf-diag(MU_MAX)*delsuaf;
/ G/ k7 k4 i5 ?* M3 e( H, sfor i=1:42
temp(i)=temp(i)/su(i);
' B1 {1 Q; {3 N8 |% e1 ?1 Lend
temp(13)=0; delMU_MAX=temp; 1 t2 c: x, d- q3 y& f
$ l3 q& X9 |, _2 M9 [
%Calculate Newton Iteration ÐÞÕýÁ¿ END!!!!!!!!!!!!!!
. T8 V1 a# ^$ [: E2 _; y- i%%
: X6 j/ x3 Q& T2 a9 y' t5 J- a+ V
%¼ÆËãУÕýÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd
' Z: U! Q, ]& L( ~% V4 U" X* G. Z2 }%S1: STEPp
6 _; b- t: c* x, _for i=1:42
2 x5 o% a8 x9 E7 N, I- fif (delslaf(i)~=0)
temp1=-sl(i)/delsl(i); 1 r; R! c3 ]# ]6 _8 K- g' [
else temp1=Inf;
: m% [4 u# G, B4 z- Cend
7 z5 O2 r- X* d0 b3 Z7 @if (delsuaf(i)~=0)
temp2=-su(i)/delsu(i);
0 c3 ~* g5 y, k: A* J) Relse
temp2=Inf;
# r+ g# h' [4 S% @: `; P! \6 kend
8 b) n8 c' K- `3 ~: d7 tif temp1<temp2
min=temp1;
& C5 u) R8 x. d# `) melse
min=temp2; ( z7 x$ J: r, E# S/ f6 u
end
% x! l; T7 M& p4 \if min>1
min=1;
# T6 f# \' r# _7 h ~5 m7 Vend
- x7 a$ u- N. v4 X/ p: v! _# R
end STEPp=0.9995*min;
0 w$ }$ f2 X/ N1 X% l Z/ J" r( L%S2: STEPd
# M: s% V' p0 u7 q( x5 `8 D W* x% d& ~5 ]
for i=1:42 temp1=-MU_MIN(i)/delMU_MIN(i); temp2=-MU_MAX(i)/delMU_MAX(i);
+ i- @! c! c7 S: ^/ k7 g. |if temp1<temp2
min=temp1; 5 I a% ^) z" Y D
else min=temp2; . Y3 W& ^4 D# u
end
' G4 y- G0 p( |6 f5 |" i- @if (i==13)
min=0; , S+ I/ J) T* j) l( c0 G3 e% u
end
3 J6 @: ]% I r- Xif min>1
min=1;
( t1 r7 u+ y* R6 ?# M+ C2 Zend
) C/ h5 j, R# b; D" `$ X/ r. Qend
STEPd=0.9995*min;
& Y5 S' z+ Y0 n( p) q' 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);
9 P n7 o" e7 N- f! _4 ?9 U%¸üÐÂÔ Ê¼±äÁ¿ºÍ¶Ôż±äÁ¿ END!!!
+ R3 ?# V6 j- ~; g' V
6 B E0 o% i" }+ E; I( j: \%¼ÆËã¶Ôż¼ä϶%
ROU=sl'*MU_MIN+su'*MU_MAX; MUt=SIGMA*ROU/(2*length(sl));
[; w4 u d# Z. A7 G" _: J& z%%
3 a4 X4 I7 Y% r v) g/ r%ÅжÏÊÇ·ñ³¬¹ýµü´ú´ÎÊý
ik=ik+1; : t0 m( x8 [4 c$ @ J+ b+ d
if ik>IterNumMAX disp('IterNum ERROR!!!!!');
: l- a: x( u( r! Qbreak;
8 B( s( f' T, A; g; eend
: v) ?" G" |4 n% ^$ A0 w0 |
end et = etime(clock, t1); %% %Êä³ö²¿·Ö ( \* u( S) \7 e; S! Y
if (ik<=IterNumMAX)
, s6 w' b' j6 Q%%
4 a* D) e% F1 L/ i! I8 n%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
- w9 i" Y3 n H6 B
max=-10;min=10; for i=1:ik temp=LLam0(i); , P( @$ G, A9 R& d$ M8 J
if (temp>max) max=temp;
; ^/ Q2 j9 a5 B7 E i! F) Qend
4 W4 ?. H z) Y0 y$ }6 d$ fif (temp<min) min=temp;
0 B9 d( ~9 m& g, `) T: F$ b1 xend
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(' ------- -------'); : ?! j1 a6 p" M) t
for i = 1:30 fprintf('\n%5d%7.3f%9.3f', i,X(i+12),X(i+42)*180/pi); $ S$ H# S0 h' G% ^
if (i<=6) fprintf('%10.2f%10.2f', X(i)*baseMVA, X(i+6)*baseMVA);
5 W: H/ D& l, o; ^6 Belse
fprintf(' - - '); , b5 i3 a6 ] d! t: i* _
end fprintf('%10.2f %9.2f', bus(i, 3) , bus(i, 4) ); fprintf('%9.3f %9.3f', Lam(i),Lam(i+30)); 9 Z2 k! n% k( ]4 P m m8 Z
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 R( M( P% o+ F( Kend
8 N9 ~$ ]5 e8 R- H" y2 a
end # ^* s' q8 U* r3 x# l- g
%% %%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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发表于 2013-7-7 15:10:59
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