回复 2# redplum : G8 N# Q6 j3 L) A D. V+ ^0 B
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首先谢谢指教
$ z1 X. r- s. {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) - i) J+ p" d) [& g: A) t/ ?
%%
; l: W1 f( i7 T$ V5 S) |, y%Calcute h,g matrix
ROU=sl'*MU_MIN+su'*MU_MAX; errArr=[errArr;ROU;]; SIGMA=0; MU=SIGMA*ROU/(2*length(sl)); %ÖÐÐIJÎÊýÖÃÁã% 1 L, J' r% [9 N* U, F' d9 C' }
for i=1:30 temp=0;
( A' l! W% x$ Z8 X; w8 x bfor j=1:30
temp=temp-V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j));
6 ^2 _6 ^, R% b0 mend
4 F) a) h/ V# Z6 oif (i>6)
tPg=0; 6 l1 A7 V7 ]( N: x
else tPg=Pg(i);
# {% ]9 O& G8 uend
h(i)=tPg-Pd(i)+V(i)*temp;
* _* ], h' i) a* Gend
$ o& ^5 x0 @% u% c- g* efor i=1:30
temp=0;
1 i7 q8 t% Y8 S8 qfor j=1:30
temp=temp-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); , X$ O2 ?8 G2 |! \
end
$ d9 o7 o8 v2 w7 c6 y# l# Aif (i>6)
tQg=0; . z& D0 X3 Z) Y2 t" E
else tQg=Qg(i);
+ f/ b- e L" y1 B- oend
h(i+30)=tQg-Qd(i)+V(i)*temp; O: v) N* T3 j$ q$ `- _2 v
end1 _; d {, V3 w0 a+ c
% Cal h END 7 c% L Q( R6 Q
( x" k2 c% y# @) {
for i=1:6 g(i)=Pg(i); g(i+6)=Qg(i); : N T' {8 L* r, V1 W( M
end % b$ J% s9 Q; A& V j- M1 H; ^
for i=1:30 g(i+12)=V(i);
) n9 E$ x: q' D! G% O6 g5 @end3 k; P; b$ }" s; Y
% Cal g END
0 ^$ q( _5 Q" ?8 X%Calcute h,g matrix END
3 @: v4 W( i- T- ?6 s# T) z, F%%
' V( U) D1 L$ c%Calculate Jacobian&Hessian matix
; E' G6 f. y8 t! a) b" d3 c6 j%First Step: Jf,Hf
3 s6 }5 |7 X: r" z4 r/ @, c0 x
for i=1:6 Jf(i)=2*gencost(i,5)*Pg(i)+gencost(i,6); Hf(i,i)=2*gencost(i,6); , r4 @7 P) p0 H+ b9 N
end ! L: ~6 A' V; R7 _! @: k5 \
%Second Step: Jh, hΪµÈʽԼÊø s" g5 {/ s1 F
for i=1:6 %Ç°6ÐжÔPgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i)=1;
0 B' M. r9 r7 S+ j- Uend
$ ]5 r! h, H7 D; V4 d) a# `
for i=7:12 %7-12ÐжÔQgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i+24)=1; * N& s, g' a# ^0 b, L% W
end . E( ?; k; z/ \' E% {, M! R( r
for i=1:30 %ÐγÉ13-42ÐеÄ1-60ÁÐ ; ~: N9 k+ m8 j s. o* k, [ ]
for j=1:30 tempVp=0; tempVq=0;
p; n# L; ?1 p; p- T; B8 Rif (j==i)
' i4 \+ r/ ~" M4 F
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));
r" X9 [5 C& nend
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)); ) a) V9 m2 Y7 X) F. K! U
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)); % d5 l7 u2 H4 X" }# P
end
1 E' L" N: Y, c! n/ w" P" `end
" E$ K5 ^7 N3 }2 g8 g6 _- l) U3 aend
7 L& {' P2 k/ o- ?3 B8 ifor i=1:30 %ÐγÉ43-72ÐеÄ1-60ÁÐ
- ?. q9 S# D' j, Rfor j=1:30
tempVp=0; tempVq=0; Z& i6 w4 V# D) |
if (j==i)
! v, @( O5 B5 H+ C" v* Kfor 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)); , K8 P# J5 Q' |+ }/ Q! D
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 |1 ^) R7 T/ E/ Y* v; Lelse
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)); - D9 y; T2 f% |/ g7 a) k
end
/ B# \* e/ A! V2 o3 o4 fend
% j: m3 e: H& E) H" l) b
end % j+ T( ~- D. E
%Third Step: Hh
7 r5 N# g$ r1 q+ S8 G9 N%Óй¦²¿·Ö
, r- G$ q3 V( E; ^+ V4 y
for i=1:30
X' \$ O9 Q/ }( Z _. r2 S" h# kfor j=1:30
2 [; ]( d* Y9 x/ T- ~; ?
for k=j:30
' R3 v* e# y% A9 b% y+ {0 gif (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 4 }7 h0 N+ Y J
elseif (j==k&&i==j) Hh(j+12,k+12,i)=-2*aY(j,j)*cos(Yth(i,i)); %VV temp=0; %thth
$ _( x8 b! U: W) N* I1 Lfor l=1:30
temp=temp+aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l));
- I# N; |; f% Zend
temp=temp-aY(i,i)*V(i)*cos(-Yth(i,i)); Hh(j+42,k+42,i)=V(i)*temp;
% x3 u8 \, _/ B9 a- f' x" F! Oelseif (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); * p( q* e6 F8 X2 W6 j/ H1 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 u1 R, M3 m! f* i' D
end
6 p: l* Q( {1 {! _1 R, R# i |5 Uend
$ ^% a8 T+ a" ?6 s; [. f7 S
end
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%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
4 |- k. W) D- l$ G( _: V
for i=1:30
5 [ Y3 ~; H, ~. i, G4 yfor j=1:30
) _9 x/ r; }+ P# K! m* qfor k=1:30
/ v; ]% U6 n) P3 b" W
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
7 c. s. y& C# p u8 P: F# [elseif (j==k&&i==j)
temp=0; %thV
) r+ w0 J* p+ t7 Z, M' Sfor l=1:30
temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l));
% C7 w8 x' f/ q6 Bend
Hh(j+42,k+12,i)=temp-V(i)*aY(i,i)*sin(-Yth(i,i)); . C6 t9 Q. a$ |- Y4 f0 H
elseif (j==i) Hh(j+42,k+12,i)=V(i)*aY(i,k)*sin(Vth(i)-Vth(k)-Yth(i,k)); %thV
( {2 u& \2 @5 P' y. ]$ e! V2 `elseif (k==i)
Hh(j+42,k+12,i)=-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV 2 R8 j4 b. {) g% U; X
end
* B6 h; B- r9 K2 t" @$ M" U2 Fend
) t6 ^$ j3 z# n
end Hh(13:42,43:72,i)=Hh(43:72,13:42,i)';
9 {* J2 z7 O3 f8 }end- i& o" I: x' g+ `" l& e$ o
%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
8 H9 ~( c4 i3 n& m
%ÎÞ¹¦²¿·Ö
, U& ^* i( @3 c% _for i=1:30
8 u$ O5 ?. f, V) ^
for j=1:30 % x, }! ~. ?, J+ g4 J `
for k=j:30 4 D4 O9 }" r- 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
' c2 A" l, u4 Celseif (j==k&&i==j)
Hh(j+12,k+12,i+30)=2*aY(j,j)*sin(Yth(i,i)); %VV temp=0; %thth
# t# Z; o1 Z' g5 K: c' P% w1 Hfor l=1:30
temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l));
" O* ?2 x% t! q5 cend
temp=temp-aY(i,i)*V(i)*sin(-Yth(i,i)); Hh(j+42,k+42,i+30)=V(i)*temp;
! R8 U, t" h6 C X+ velseif (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);
1 l) Z$ _: U+ }6 a: {! b& j4 uelseif (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);
; T6 Y7 s. w" g# ~1 l9 `end
: y( X: p1 h, R2 m/ l- |- U, send
2 X2 z# l/ e) Zend
9 X; v7 `0 d. k# g' A; I1 Y- oend
! o+ r- b& z3 H; G%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
3 G9 g1 k) ^3 G+ a9 N: _
for i=1:30 o0 o w6 F2 a7 }& ]
for j=1:30
4 L. F+ g! |8 c" x6 Hfor k=1:30
6 s9 T8 `* c# I& I% rif (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 # r0 m8 v3 B( D* T5 j' f" e: {
elseif (j==k&&i==j) temp=0; %thV
( S0 W/ x& ~2 a6 Y, K6 z% e9 |for l=1:30
temp=temp-aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l));
z) k, `( `3 e0 C2 s0 J0 Aend
Hh(j+42,k+12,i+30)=temp+V(i)*aY(i,i)*cos(-Yth(i,i)); ) R; w L1 _4 A! N6 ^; U& r
elseif (j==i) Hh(j+42,k+12,i+30)=-V(i)*aY(i,k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %thV
9 Y7 c; h1 o g" j5 Yelseif (k==i)
Hh(j+42,k+12,i+30)=V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thV , M& R3 p1 M6 C7 {, n4 v5 b
end ' b2 O0 I* p3 v4 Y/ Y" y r
end
5 r( I" Y0 Q5 D+ P* Q) N) d) oend
Hh(13:42,43:72,i+30)=Hh(43:72,13:42,i+30)';
& Q3 G; k. n' W1 I$ Q6 R4 pend/ L. h6 m- `9 n3 ?$ @
%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
. f, A9 ]3 B3 z$ _/ Q7 ^; u%HhÐγÉÍê±Ï
/ x8 v- O7 q1 z. E: ?%Fourth Step: Jg, Hg
Jg=eye(42,42); Jg=[Jg;zeros(30,42)]; Hg=zeros(72);
v- `! U* ?4 Y5 {2 _1 T1 g%Calculation Jacobian&Hessian matrix END
4 T, G+ w( e! z* \
%%
0 Y$ F; o" `; ]9 y" F$ Q! T%Calculate Newton Iteration Îó²îµü´úÁ¿
* m% j* O8 A' |3 Q- Y
%Cal LX0-------------------------1 LX0=Jf-Jh*Lam+Jg*(-MU_MIN+MU_MAX); 0 n W" B+ ?5 I% A2 D3 }
%Cal LLam-------------------------2 LLam0=h; pferr=max(LLam0);
( I. Q, r0 ` Q%Cal LMU_MIN-------------------------3
LMU_MIN0=g-sl-gmin; : d1 ^5 B1 c8 [) o% V- {. U" ~" M( h
%Cal LMU_MAX-------------------------4 LMU_MAX0=g+su-gmax; $ F, D8 t; @: K7 l
%Cal Lsl-------------------------5 Lsl0=diag(MU_MIN)*diag(sl)*ones(length(sl),1)-MU*ones(length(sl),1);
4 ^- m. o# g7 }( t3 ]4 p' `6 G%CAl Lsu-------------------------6
Lsu0=diag(MU_MAX)*diag(su)*ones(length(su),1)-MU*ones(length(su),1); 6 O: g% f) }2 z: z* O# p
%Calculate Newton Iteration Îó²îµü´úÁ¿ END!!!
4 [4 f/ [3 N, E. F/ F9 ?%%
" T: K+ o h( I$ s& l3 F
%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ , H+ _& N6 Z( i; K
%1st Step: ·ÂÉäÐÞÕýÁ¿delXaf,·ÂÉäÐÞÕýÁ¿delLamaf
2 K) g# N3 h6 n6 E8 D$ t2 @6 z%S1:H
temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã 9 @/ }% L2 X' B8 n$ u' E2 d0 V
for i=1:60 temp=temp+Lam(i)*Hh(:,:,i); + |* _% v1 A+ l& G. k4 S( V
end tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; 4 t- P6 {5 B) H! u) h
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
& o3 U. N' F& x4 Pend
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg';
/ b9 e0 _+ q( E$ A* tfor i=1:42
tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
! [. S% R. h: |- k* [end
H=Hf-temp+tempgMUg1+tempgMUg2; 2 E5 a% Q# f" x$ O
%S2:·ÂÉäKESAaf tempgMUg1=0; tempgMUg1=diag(MU_MIN)*sl+diag(MU_MIN)*LMU_MIN0;
, z" b" } r. Yfor i=1:42
tempgMUg1(i)=tempgMUg1(i)/sl(i); - u. A( ~+ W( f4 B1 I+ Q
end tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=diag(MU_MAX)*su-diag(MU_MAX)*LMU_MAX0;
! i( T2 o3 V5 x; Y* hfor i=1:42
tempgMUg2(i)=tempgMUg2(i)/su(i); ; b1 N. g* e: x( \7 ~
end tempgMUg2=Jg*tempgMUg2; KESAaf=LX0+tempgMUg1-tempgMUg2; 0 ] G) h6 G0 t7 E. S1 [) ^- ]
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)]; + |! y, N/ L- h1 Z) ^1 U) g Z
%S4£ºRESULT RESULT=-[KESAaf;LLam0]; 7 S6 c0 ~& k, K4 J0 b! e
%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 u8 A6 ]1 I9 L! T- I
) E8 S& j% O, K/ t4 p; b
%2nd Step: ·ÅÉäËɳڱäÁ¿ÐÞÕýÁ¿delslaf, delsuaf , h+ F% T! w0 K T7 v3 V
%S1: delslaf delslaf=Jg'*delXaf+LMU_MIN0; ; I6 J, X; t; e* J; l7 \
%S2: delsuaf delsuaf=-Jg'*delXaf-LMU_MAX0;
" V" n( b9 M; A4 D8 ~) Z, d
2 a+ ^* S# d! A& D$ |' ^
%3rd Step: ·ÅÉäÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MINaf,delMU_MAXaf
2 e5 K( i! _" l%S1: delMU_MINaf
temp=0; temp=-Lsl0-diag(MU_MIN)*delslaf;
9 Z" N7 |" T! Hfor i=1:42
temp(i)=temp(i)/sl(i); 4 Y' U6 m, }& I6 d
end temp(13)=0; delMU_MINaf=temp; / Z7 t; e+ _( q+ l) W7 c
%S2: delMU_MAXaf temp=0; temp=-Lsu0-diag(MU_MAX)*delsuaf; 6 |6 @9 M4 R2 n8 ~4 k5 m: l) x
for i=1:42 temp(i)=temp(i)/su(i);
5 N! G. _+ E* }1 tend
temp(13)=0; delMU_MAXaf=temp; ; b. @) V8 {4 |7 E. g/ J2 K
: x( ~( h, C. r+ q: H3 ] F
%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ END!!!!!!!!!!!!!!
' T; k+ q' j% ]2 [ c
1 G; e3 t* C# M1 Q0 R. @
%% 3 U5 X9 O& @$ l' K& x _4 j3 _) U
%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPpaf£¬ STEPdaf ) R7 F; A( Y- X: X& v
%S1: STEPpaf
" X; u" }3 w$ l, N2 F/ I% Y, a6 N$ gfor i=1:42
/ H8 t3 e9 a/ E# D% N, X
if (delslaf(i)~=0) temp1=-sl(i)/delslaf(i); : N4 M" @$ v8 O& t$ l" h
else temp1=Inf; 6 M. m; _* e3 @9 G
end
+ l( J9 E) x) w! cif (delsuaf(i)~=0)
temp2=-su(i)/delsuaf(i); 3 O* V) p8 X2 I* B
else temp2=Inf;
3 ^) y Q4 \- G$ j8 wend
- @- p; C' J4 L4 p: } o
if temp1<temp2 min=temp1; & s7 t$ [) I0 }7 U, F9 E4 ?7 n$ v
else min=temp2; / I6 ~, r9 E3 d$ |$ M
end
' d7 t) F! ?( Z7 l+ r2 Y6 nif min>1
min=1;
9 C8 x ~' p. G- r* a; pend
6 Y( k- K% ?% A: y) P5 p1 Q5 c
end STEPpaf=0.9995*min;
2 T2 q& d+ w3 U' A6 j. R%S2: STEPdaf
; C7 [/ G" T ?
for i=1:42 temp1=-MU_MIN(i)/delMU_MINaf(i); temp2=-MU_MAX(i)/delMU_MAXaf(i);
7 D9 q/ }+ h+ Z: {if temp1<temp2
min=temp1;
1 B. \7 d0 ]7 B7 y' Jelse
min=temp2; . ~. Z5 U) b, r- n! B5 j# b# @
end ' }5 e( K2 t/ ^) x. |$ j% m; A1 \
if (i==13) min=0; 5 H4 [* o$ G% k- |
end 2 |8 w6 a$ | X. O% S* E, c: i4 e# V
if min>1 min=1; 9 X0 h* p7 S5 T/ B: }8 m
end
4 d$ C0 S5 ]; S2 lend
STEPdaf=0.9995*min; 4 k" [3 k0 O6 Z: ^
%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd END!!!!!
' k' O" G6 l' k' v
4 l% F5 o, N- M8 l6 S%¼ÆËã·ÂÉä¶ÔżÒòÊý¼°³Í·£Òò×Ó%
ROUaf=(sl+STEPpaf*delslaf)'*(MU_MIN+STEPdaf*delMU_MINaf)+(su+STEPpaf*delsuaf)'*(MU_MAX+STEPdaf*delMU_MAXaf); * g; e- j6 z/ u
if (ROUaf/ROU)^2<0.2 SIGMA=(ROUaf/ROU)^2;
' r' {& t: y4 R5 D3 Y! |else
SIGMA=0.2;
# L& E2 a- d# @; `( Q9 Hend
MUaf=SIGMA*ROUaf/(2*length(sl));
8 Q5 O8 @! N% X N3 Y n%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; + C4 g* |1 B" D6 ^4 h
%Calculate Newton Iteration ÐÞÕýÁ¿ 5 U' E6 J, v) H) x* `
%1st Step: УÕýÐÞÕýÁ¿delX,ÐÞÕýÁ¿delLam 8 D/ X+ B3 v7 k% J
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã
" w! J% N8 K2 h2 Z0 {1 b6 bfor i=1:60
temp=temp+Lam(i)*Hh(:,:,i); 0 Q9 `7 {; Q% u0 Z% h! C( K. o; z" a
end tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; 9 A t( J1 o/ L8 ]+ P$ d
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i); : f+ a' B, }! N
end tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; 4 g- Y6 J" d k# m& n6 ?
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
' i" ]& o9 J$ e+ Qend
H=Hf-temp+tempgMUg1+tempgMUg2;
0 d# I! f# \4 O8 n+ S%S2:УÕýKESA
tempgMUg1=0; tempgMUg1=Lsl0+diag(MU_MIN)*LMU_MIN0+diag(delslaf)*delMU_MINaf; 9 X( i7 v, |' h) b, X+ c5 I
for i=1:42 tempgMUg1(i)=tempgMUg1(i)/sl(i);
7 E" r% f3 p O; h8 pend
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=Lsu0-diag(MU_MAX)*LMU_MAX0+diag(delsuaf)*delMU_MAXaf; 9 V: F: p) t! U( A; N6 L6 X- P: I. W
for i=1:42 tempgMUg2(i)=tempgMUg2(i)/su(i);
& R# l, [. G+ P; O7 Uend
tempgMUg2=Jg*tempgMUg2; KESA=LX0+tempgMUg1-tempgMUg2;
# l$ m1 n% Q* C9 i8 r%S3:JACOBIAN
JACOBIAN=[H -Jh;Jh' zeros(60)];
: O7 @9 i! P" _( I, H%S4£ºRESULT
RESULT=-[KESA;LLam0]; 0 i- {% g2 Q4 w
%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 ; `* n. ?7 A" o# R5 }
* ~# `- C F) ^; W! F8 O" J%2nd Step: УÕýËɳڱäÁ¿ÐÞÕýÁ¿delsl, delsu
( @! ]# }+ q" w3 K0 q1 ]
%S1: delsl delsl=Jg'*delX+LMU_MIN0;
. |4 n* T0 E0 R$ w( {# I%S2: delsu
delsu=-Jg'*delX-LMU_MAX0;
^7 [! s! ?7 ]" o" m& J" [
) ?+ j" x' k3 {2 m5 i* v! q7 Y%3rd Step: УÕýÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MIN,delMU_MAX
2 l$ b! t) b6 r: p7 A3 V5 r8 c
%S1: delMU_MIN temp=0; temp=-diag(MU_MIN)*sl+MUt*ones(42,1)-diag(delMU_MINaf)*delslaf-diag(MU_MIN)*delslaf; : e8 K) k1 p9 m2 @& m9 [
for i=1:42 temp(i)=temp(i)/sl(i);
5 z: }% W4 `+ K& o" w5 uend
temp(13)=0; delMU_MIN=temp; - \5 v2 C% h' D4 [2 d# B8 R/ X
%S2: delMU_MAX temp=0; temp=-diag(MU_MAX)*su+MUt*ones(42,1)-diag(delMU_MAXaf)*delsuaf-diag(MU_MAX)*delsuaf;
: O1 K) Z0 J1 n0 [* Wfor i=1:42
temp(i)=temp(i)/su(i);
$ e* h5 w/ G9 x+ P' O7 oend
temp(13)=0; delMU_MAX=temp; , Y3 T9 G L8 x1 m& i9 w1 d
- \" D/ l: K3 C) q+ B+ D- b$ l
%Calculate Newton Iteration ÐÞÕýÁ¿ END!!!!!!!!!!!!!! + E$ o8 |1 y+ X0 H: l
%% 4 |* J, j# U; y7 O p% z7 j
%¼ÆËãУÕýÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd 7 ^' Y" g8 \7 d
%S1: STEPp
6 _0 s% E& j+ P, Y% b9 B) xfor i=1:42
7 l* W% w0 o {3 y1 E0 Q* v4 gif (delslaf(i)~=0)
temp1=-sl(i)/delsl(i); % j0 V! z6 J' \+ K6 V
else temp1=Inf; 8 J# i2 |) L0 x! b+ Q. t
end
/ q; ~ [; Y" m8 r' Fif (delsuaf(i)~=0)
temp2=-su(i)/delsu(i);
% J3 r' W1 Y* d" Z+ n5 ^+ L6 G) velse
temp2=Inf; 7 f# S/ N$ W# [1 f3 j
end
, T$ i k1 T8 ]2 U" f4 i) X; \if temp1<temp2
min=temp1;
4 @- T* q$ r Relse
min=temp2;
* F" k& q( T3 q1 s' ~- z9 qend
; v0 U1 L9 y8 D' @* \7 T) B1 C
if min>1 min=1;
0 o9 J+ T7 F E0 s! L& {end
4 i' P; G; e" t& ?
end STEPp=0.9995*min;
1 ?) N# B! e1 U, A8 k2 y/ m2 s%S2: STEPd
/ D5 I. x! L- @+ w5 Z I( mfor i=1:42
temp1=-MU_MIN(i)/delMU_MIN(i); temp2=-MU_MAX(i)/delMU_MAX(i); 8 v U4 S7 w# B' Q/ B) H; t
if temp1<temp2 min=temp1; 3 y. y) y9 v8 R8 t# x
else min=temp2;
3 x6 ^6 D- g2 F( y, n" Qend
( t3 y) H0 j v6 C- P
if (i==13) min=0;
# J: ?, J/ d: V7 \end
7 _ s5 j+ V3 {3 ^+ b3 f! f8 {2 dif min>1
min=1;
7 x" z% T9 _8 o& N. k3 B2 V0 dend
. a( r" l @/ i+ b# Y
end STEPd=0.9995*min; ; [/ Z2 D6 r& Y6 q' }
%¸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); . W4 @, k+ ?0 s6 A9 j: h7 }
%¸üÐÂÔ Ê¼±äÁ¿ºÍ¶Ôż±äÁ¿ END!!! ' N* Q, t8 @: d4 @
# S, l8 v. S+ ?" N5 u, ?' i$ ~3 ]
%¼ÆËã¶Ôż¼ä϶% ROU=sl'*MU_MIN+su'*MU_MAX; MUt=SIGMA*ROU/(2*length(sl)); ) h/ ?, z+ b6 B' ~
%%
9 g# W8 p/ @. g; w%ÅжÏÊÇ·ñ³¬¹ýµü´ú´ÎÊý
ik=ik+1;
6 r y/ W0 w) E/ e$ T7 K, ?. Q" Rif ik>IterNumMAX
disp('IterNum ERROR!!!!!'); & P' {1 D: N* U0 b& l+ J9 S
break; ! U8 T/ J/ F8 I* y; I
end - U& D& _ I6 J0 i) H/ S
end et = etime(clock, t1); %% %Êä³ö²¿·Ö
: w) Q# N- ~# d/ ~; j; `
if (ik<=IterNumMAX)
# D# `# j2 `: N0 U%%
& |) m' Z( P! @7 @2 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
) _# E& ~8 @* Z N- D% f
max=-10;min=10; for i=1:ik temp=LLam0(i);
+ {/ Y- n0 r/ t2 }7 J% Zif (temp>max) max=temp;
# V5 H, R6 Z7 d2 G2 r/ s3 w5 uend
* m8 R# @3 q" f' z0 Q4 a+ t# c Z9 J; Qif (temp<min) min=temp;
2 b; q {4 y4 X$ p q. p3 ?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" y4 |) g% S6 z1 A: q% n: yfor i = 1:30
fprintf('\n%5d%7.3f%9.3f', i,X(i+12),X(i+42)*180/pi);
3 j, J6 F9 D" k2 ~5 pif (i<=6)
fprintf('%10.2f%10.2f', X(i)*baseMVA, X(i+6)*baseMVA);
; j5 k) A- }0 V& Melse
fprintf(' - - ');
9 S- }3 ^+ C H; T F: d( Z( wend
fprintf('%10.2f %9.2f', bus(i, 3) , bus(i, 4) ); fprintf('%9.3f %9.3f', Lam(i),Lam(i+30)); 6 s, j/ g3 A' U+ k% \' u) h
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'); 9 l: O. {$ I, k
end
- `6 I! n" ~1 b2 G! ?" s' Qend
0 t; Q$ [" p7 }. a9 {% L4 ~
%% %%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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