回复 2# redplum
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首先谢谢指教9 b( J$ x9 |) R( d! H% H5 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) + J `" [0 t1 S1 K, a
%% $ A2 w. [. l0 q5 L3 I. \' P
%Calcute h,g matrix ROU=sl'*MU_MIN+su'*MU_MAX; errArr=[errArr;ROU;]; SIGMA=0; MU=SIGMA*ROU/(2*length(sl)); %ÖÐÐIJÎÊýÖÃÁã%
; w& B$ E5 l2 H8 d) {" V dfor i=1:30
temp=0; ( O$ k2 X7 T2 @, _$ u% t
for j=1:30 temp=temp-V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); 8 W+ s/ Z2 F! e* O" [/ B$ d1 o
end 3 C9 ^1 S- b" H
if (i>6) tPg=0;
( b K3 Z' k; g0 s3 U8 [ ~3 `else
tPg=Pg(i); & ?7 g9 m7 v! Q6 T
end h(i)=tPg-Pd(i)+V(i)*temp; 6 `, R, m9 T: a# c, ]& h, I/ G! i
end ; W% [$ O4 k* _) N( B
for i=1:30 temp=0; r6 W! T4 i3 Y6 J
for j=1:30 temp=temp-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); - I& ]. j# w4 o8 G. A; S/ [, J
end - [! P: {2 H" ?! z3 }; ]0 u
if (i>6) tQg=0;
$ |) n; Y; y1 m' Eelse
tQg=Qg(i);
+ B; D% Q$ o- F0 c0 p2 Q/ w! v7 Q$ |end
h(i+30)=tQg-Qd(i)+V(i)*temp;
. o" b% k" R3 V. K7 w: y' @7 zend
7 Q5 }& r `6 G* o6 X7 t( ?% Cal h END
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$ m+ d0 Y3 y1 ^for i=1:6
g(i)=Pg(i); g(i+6)=Qg(i);
. J$ w* ?8 P- m* w* e/ C! [end
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for i=1:30 g(i+12)=V(i); k& Y8 n6 m( V5 E2 z
end- X, {3 E6 d" k6 B
% Cal g END i. h6 L; e* f" x! B, N
%Calcute h,g matrix END 6 e3 \$ e4 D( d- G6 x( A4 c
%% 6 E- D" W1 ] v( ~: d Q5 i# ]1 I. D
%Calculate Jacobian&Hessian matix / M- S5 Y. O( c6 V) E
%First Step: Jf,Hf
, w5 g( Q. r7 u8 vfor i=1:6
Jf(i)=2*gencost(i,5)*Pg(i)+gencost(i,6); Hf(i,i)=2*gencost(i,6); & O' x+ N' {/ i2 S5 F- F
end
, H% B: k2 l1 w* X%Second Step: Jh, hΪµÈʽԼÊø
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for i=1:6 %Ç°6ÐжÔPgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i)=1;
9 {( K6 L: s1 w8 H7 |9 gend
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for i=7:12 %7-12ÐжÔQgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i+24)=1; / m( A: r! N7 u( F) I% @* l
end & m6 P% w8 M. l2 x4 D& {- ~) G
for i=1:30 %ÐγÉ13-42ÐеÄ1-60ÁÐ 1 w" ~ r$ v$ t& I, N6 P
for j=1:30 tempVp=0; tempVq=0;
3 z" Y) H* T: Z, o) [, wif (j==i)
; c& V2 U* L- @/ }" f+ |* ifor 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)); $ S Q, v4 r- ?$ d( g7 q( J$ P
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));
& X( W0 x, a% ]7 o0 J2 Uelse
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 { P' G* J0 h1 R$ c0 d9 X
end
) F$ H6 v5 }4 I( tend
! v2 ~! F: n& }9 nend
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for i=1:30 %ÐγÉ43-72ÐеÄ1-60ÁÐ ' i2 O+ s* F. |9 N/ N7 h
for j=1:30 tempVp=0; tempVq=0;
3 {+ O; p$ }( z1 R; f( a4 {1 ?if (j==i)
* q8 H8 t8 D: ?6 lfor 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)); $ j& i& L! v9 W, {( ?
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;
Y- i0 K+ L9 z5 a& F# Ielse
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)); & l( L& ?+ {. ?' ~( c q) A
end ; T; d3 W; X/ N6 l
end
" i) R) t: v8 V5 Vend
7 O B8 l: p9 x# k) \; K%Third Step: Hh
( Z' |: D$ o: R. S6 n* m& z
%Óй¦²¿·Ö - X* Z/ f# K, k+ O3 {9 M8 o
for i=1:30
# H4 ~% x, _- e' X# J5 m2 B3 ffor j=1:30
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for k=j:30 3 e7 v3 J- S+ z3 Q
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 * x) ]% i, f' i+ v, R
elseif (j==k&&i==j) Hh(j+12,k+12,i)=-2*aY(j,j)*cos(Yth(i,i)); %VV temp=0; %thth
+ G! ]$ _9 Y3 M" J9 i/ O8 [for l=1:30
temp=temp+aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l)); 9 r* i J- O. a2 A* g' ?3 U
end temp=temp-aY(i,i)*V(i)*cos(-Yth(i,i)); Hh(j+42,k+42,i)=V(i)*temp;
4 a6 ]5 y$ p# o/ b9 O1 Welseif (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);
5 l# L& S2 b) b. X. K5 L( w2 I7 Y3 ?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); 2 a% M' k6 V0 H, I
end 6 U- Y2 y- U) F. U$ u+ t' ^
end
/ ^1 U A) U( ~( E( iend
7 I2 V: d% F: k( y( R3 iend
1 J; N/ f/ w- h7 _4 j2 x! Y) L%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
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for i=1:30 6 ?; E: \0 S- `4 |2 {' a" n
for j=1:30
. _& r$ c# z: D3 V& `+ jfor k=1:30
" G* G7 n# E& w8 q3 |9 k: xif (j==k&&i~=j)
Hh(j+42,k+12,i)=-V(i)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV
2 U6 w% l0 O2 z V1 o3 zelseif (j==k&&i==j)
temp=0; %thV * l! K1 g. N4 L: @+ b* u
for l=1:30 temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); * B0 c5 a7 ?" H- W/ _
end Hh(j+42,k+12,i)=temp-V(i)*aY(i,i)*sin(-Yth(i,i)); : r/ e2 n+ ^% Q$ F* a; S3 s
elseif (j==i) Hh(j+42,k+12,i)=V(i)*aY(i,k)*sin(Vth(i)-Vth(k)-Yth(i,k)); %thV ' Z& @) f1 p' n' t0 ~. C
elseif (k==i) Hh(j+42,k+12,i)=-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV
0 f5 \( x: M, Yend
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end
+ S7 c5 l: @8 W3 [0 lend
Hh(13:42,43:72,i)=Hh(43:72,13:42,i)'; 0 x( A+ @8 [0 @! M- ?$ n$ {5 a; a7 j
end$ i8 x- O+ v) z, M5 \# Y
%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
% c8 w V( L ^4 X%ÎÞ¹¦²¿·Ö
V/ Q0 ]2 B) M; I* y
for i=1:30 / |9 U: Q4 m6 S1 m9 T; e5 i! J
for j=1:30 0 L2 R6 z6 |; i3 e" F7 d+ U
for k=j:30 5 L; \; J j2 I6 K& N
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 % N* H: p, S0 F2 l
elseif (j==k&&i==j) Hh(j+12,k+12,i+30)=2*aY(j,j)*sin(Yth(i,i)); %VV temp=0; %thth , ^: _( B* b1 r1 b( q9 {- x
for l=1:30 temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); 9 g7 O8 B: l( P1 h: Y0 z) t; `4 ~
end temp=temp-aY(i,i)*V(i)*sin(-Yth(i,i)); Hh(j+42,k+42,i+30)=V(i)*temp; f9 _& H9 Y7 h' p) r
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); 9 I" [+ f$ d% ^9 K# Z, N6 G8 o
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); & W( W7 Y' e5 J7 E) H
end 3 i2 x1 p' a; p3 S5 l1 O& K- t! `
end
& l. C- N; n- J n3 Xend
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end
1 }) s2 j$ i4 G6 [% ~6 G7 B( P: z%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£© 8 }! x: v L. T5 s1 s8 E
for i=1:30
$ ~2 L( y$ F! w$ m/ w; ]% N# Z* e" tfor j=1:30
: X/ t4 i" c- B: P' Ufor k=1:30
7 B n+ z5 N% \% ~2 mif (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 : A, {2 A8 x2 P( E3 A
elseif (j==k&&i==j) temp=0; %thV
4 L. n0 L' [1 D8 Pfor l=1:30
temp=temp-aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l)); ! ] R! K! G, c" H
end Hh(j+42,k+12,i+30)=temp+V(i)*aY(i,i)*cos(-Yth(i,i)); # {/ _2 b. y# L( o9 U; E$ A7 v. s
elseif (j==i) Hh(j+42,k+12,i+30)=-V(i)*aY(i,k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %thV 4 c- R9 x0 Q. `$ n6 p$ ?5 A
elseif (k==i) Hh(j+42,k+12,i+30)=V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thV
- z \0 F6 e5 z0 R0 G, ]: l4 ]end
) @. B+ ^/ _# k- oend
( ~2 k/ h# }5 v0 O) u! X. @- g$ V3 Cend
Hh(13:42,43:72,i+30)=Hh(43:72,13:42,i+30)';
( H7 N# z, d0 [0 ^: M1 p0 oend
* y" T z, _. v7 V. f%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
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%HhÐγÉÍê±Ï
) h6 ^- e# U1 N# n" S* C \%Fourth Step: Jg, Hg
Jg=eye(42,42); Jg=[Jg;zeros(30,42)]; Hg=zeros(72);
) s+ z( V: T+ `9 T4 O& b2 B ?* P%Calculation Jacobian&Hessian matrix END
$ O ~/ v# p4 {. Y' V' F- {3 ^
%%
) O4 d- g1 J% k%Calculate Newton Iteration Îó²îµü´úÁ¿
n3 U9 h+ }' A5 E( A%Cal LX0-------------------------1
LX0=Jf-Jh*Lam+Jg*(-MU_MIN+MU_MAX); + |& ?- E- l; f% S* _; k
%Cal LLam-------------------------2 LLam0=h; pferr=max(LLam0);
5 ~( ~4 y" `) |, X1 z%Cal LMU_MIN-------------------------3
LMU_MIN0=g-sl-gmin;
" o+ v& w6 S8 F: X& s! K%Cal LMU_MAX-------------------------4
LMU_MAX0=g+su-gmax; 1 @1 O# k& F/ F3 [/ g
%Cal Lsl-------------------------5 Lsl0=diag(MU_MIN)*diag(sl)*ones(length(sl),1)-MU*ones(length(sl),1);
8 y3 ~+ { Q1 \3 b8 ~ l5 x6 T%CAl Lsu-------------------------6
Lsu0=diag(MU_MAX)*diag(su)*ones(length(su),1)-MU*ones(length(su),1);
3 Y a2 g4 r" Y% w%Calculate Newton Iteration Îó²îµü´úÁ¿ END!!!
7 B# S1 ^; V+ \) h p% T1 m%%
2 m) x0 U3 p" J6 I
%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿
8 F' b4 l0 Q; R, B( _ f% u' R%1st Step: ·ÂÉäÐÞÕýÁ¿delXaf,·ÂÉäÐÞÕýÁ¿delLamaf
7 ?' H) [" `( ^6 S0 r* h2 ?& o
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã
a6 H' p% @) ^* J. q/ t" ]for i=1:60
temp=temp+Lam(i)*Hh(:,:,i); 5 I8 Q$ q4 G% C5 B n S
end tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; & ]" U( j! V; @* X
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
& g) Z3 u+ w' a J) w4 ~! E: g9 Nend
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; / u% h6 N" p p* u9 s+ [" n h
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i); ) Y2 a. k4 w/ i3 d5 O5 j& ?
end H=Hf-temp+tempgMUg1+tempgMUg2;
; l# y, K% H, [%S2:·ÂÉäKESAaf
tempgMUg1=0; tempgMUg1=diag(MU_MIN)*sl+diag(MU_MIN)*LMU_MIN0;
# \" T4 v# n- ^0 R- @for i=1:42
tempgMUg1(i)=tempgMUg1(i)/sl(i);
% w) G: y# T, f1 }# _end
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=diag(MU_MAX)*su-diag(MU_MAX)*LMU_MAX0;
6 e* e# |- U8 s: O Sfor i=1:42
tempgMUg2(i)=tempgMUg2(i)/su(i); 7 \4 y; I& a# ^1 N1 N; @0 J4 x+ @; \
end tempgMUg2=Jg*tempgMUg2; KESAaf=LX0+tempgMUg1-tempgMUg2;
; x) z6 k7 ~9 z6 d+ w1 [) p% C%S3:JACOBIAN
JACOBIAN=[H -Jh;Jh' zeros(60)]; 0 |7 o5 U9 p2 w& z
%S4£ºRESULT RESULT=-[KESAaf;LLam0];
7 y- I- Y1 u) x/ |% b) w- h$ g%S5:Cal ·ÂÉäÐÞÕýÁ¿delXaf,·ÅÉäÐÞÕýÁ¿delLamaf
delXaf=-Jh'\LLam0; delLamaf=Jh\(H*delXaf+KESAaf); % temp=JACOBIAN\RESULT; % for i=1:72 % delX(i)=temp(i); % end % for i=1:60 % delLam(i)=temp(i+72); % end & V3 t. [1 A" |' K8 H
: g+ p& n# P9 S u M
%2nd Step: ·ÅÉäËɳڱäÁ¿ÐÞÕýÁ¿delslaf, delsuaf
1 @$ A. ^. I9 M' n/ }) H%S1: delslaf
delslaf=Jg'*delXaf+LMU_MIN0; O& ~2 E* F3 V6 C2 y9 f
%S2: delsuaf delsuaf=-Jg'*delXaf-LMU_MAX0;
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, G; ?! f" R# z! c1 k6 y
%3rd Step: ·ÅÉäÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MINaf,delMU_MAXaf 3 Q/ ^4 M7 R$ f) d4 \
%S1: delMU_MINaf temp=0; temp=-Lsl0-diag(MU_MIN)*delslaf; 3 Q+ k: e4 M' U: x
for i=1:42 temp(i)=temp(i)/sl(i);
2 N- X% {7 U [3 v3 j; j) x+ bend
temp(13)=0; delMU_MINaf=temp; . F3 c( z* A" ^# t$ Q4 @
%S2: delMU_MAXaf temp=0; temp=-Lsu0-diag(MU_MAX)*delsuaf; , P& c: u* Y8 W9 o l$ g
for i=1:42 temp(i)=temp(i)/su(i);
, M' ?# J0 ^! w. ^, { l# Xend
temp(13)=0; delMU_MAXaf=temp;
; J* a$ |6 A* W9 ]
# l% n7 t7 d/ s6 y' _5 L4 q2 m
%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ END!!!!!!!!!!!!!! , l( N5 B p3 n2 I6 q, ?, _
( {5 u$ I: _* n
%%
* D3 Z6 ?7 R* @, ]/ c%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPpaf£¬ STEPdaf
+ p F$ w+ a# P%S1: STEPpaf
P" w$ i: k% X0 c( r7 {7 V
for i=1:42
5 A4 x9 o3 ^6 _/ U7 Z& ]4 |if (delslaf(i)~=0)
temp1=-sl(i)/delslaf(i); 4 S: \) [$ X3 }& [, W! C2 h
else temp1=Inf; n8 @, C7 i4 |
end 3 Y5 t6 J- @7 \1 d+ F
if (delsuaf(i)~=0) temp2=-su(i)/delsuaf(i); w8 M6 `. f0 B2 e; J2 S
else temp2=Inf; 8 `! H6 f+ d# l8 }5 {* a8 i
end
* K. i# S' p' S- {' j9 Qif temp1<temp2
min=temp1;
9 U0 Z) J7 p$ T' qelse
min=temp2;
. Z3 I- D# p2 t; e+ P$ lend
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if min>1 min=1;
# [. D% x( f) `5 L8 z# kend
9 _* d+ p1 A0 ]+ n* qend
STEPpaf=0.9995*min; # I8 v% i7 P- Q% m
%S2: STEPdaf + j3 A9 K" B7 S$ i+ X% l: `: A
for i=1:42 temp1=-MU_MIN(i)/delMU_MINaf(i); temp2=-MU_MAX(i)/delMU_MAXaf(i); 5 |& ?+ L1 f9 T1 h
if temp1<temp2 min=temp1; $ ?, |6 u% k1 |+ H9 h/ Z% c) \- b
else min=temp2; " y# E$ F' b/ C1 s, O; Y
end ! k& R. J j- B( N. K( t
if (i==13) min=0; b- r; m9 M7 ^! v) i: Z' a) s
end + x, Y: J( D/ ?+ R% l, }5 Q
if min>1 min=1;
0 T# ~& [# c6 C' h4 [! ]4 Vend
]7 w$ u6 h+ Z$ K! k% @7 t6 d$ e
end STEPdaf=0.9995*min;
8 F( ~" k0 r# ^7 ~ }9 X9 j%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd END!!!!!
7 n0 H% U2 M' L' C% ~
: B' k. \2 Q% g
%¼ÆËã·ÂÉä¶ÔżÒòÊý¼°³Í·£Òò×Ó% ROUaf=(sl+STEPpaf*delslaf)'*(MU_MIN+STEPdaf*delMU_MINaf)+(su+STEPpaf*delsuaf)'*(MU_MAX+STEPdaf*delMU_MAXaf); ' D4 Y. M8 Y. Y" c& j K- Q
if (ROUaf/ROU)^2<0.2 SIGMA=(ROUaf/ROU)^2; $ g( n4 h5 w/ {+ W4 T
else SIGMA=0.2; ' R- f$ ^9 L6 {9 w4 q; t3 Z
end MUaf=SIGMA*ROUaf/(2*length(sl));
+ y) ?' g( ]% u7 G! u% d%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; 5 a, Z8 e# a Z2 _ U5 v' Q
%Calculate Newton Iteration ÐÞÕýÁ¿ . r. I' |# D: _- I, ~: O
%1st Step: УÕýÐÞÕýÁ¿delX,ÐÞÕýÁ¿delLam
* s. z9 b9 T: a3 q w& x3 f%S1:H
temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã 6 @: a7 R' l. g9 r
for i=1:60 temp=temp+Lam(i)*Hh(:,:,i); $ a& ^$ z/ \" h B7 i2 L
end tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; : \1 \4 g7 X W9 K6 X! a \! v
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
; h+ i' u1 }" n* cend
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; _& r' T8 ~) R4 a$ J! K! A4 f
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i); , X# m# N2 @ D: x
end H=Hf-temp+tempgMUg1+tempgMUg2; 9 B; m) I9 t {5 Q
%S2:УÕýKESA tempgMUg1=0; tempgMUg1=Lsl0+diag(MU_MIN)*LMU_MIN0+diag(delslaf)*delMU_MINaf;
& H; i5 w! e5 R# n& `3 H% N* Kfor i=1:42
tempgMUg1(i)=tempgMUg1(i)/sl(i); ! U( i" y- S" Y- O/ s8 V/ f, n
end tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=Lsu0-diag(MU_MAX)*LMU_MAX0+diag(delsuaf)*delMU_MAXaf;
' _7 a: v+ r1 `4 Zfor i=1:42
tempgMUg2(i)=tempgMUg2(i)/su(i);
( _: |8 q2 k1 g1 P6 {8 D) l; send
tempgMUg2=Jg*tempgMUg2; KESA=LX0+tempgMUg1-tempgMUg2; ' p( f' [0 v, R7 p
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)]; 1 t+ Y5 U# I7 r) @3 ^) p5 W B
%S4£ºRESULT RESULT=-[KESA;LLam0];
+ M* W, f; [) B# u%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 7 C& |3 P' N' b/ a1 W
- q$ }. z: F" @/ L. O5 {6 v
%2nd Step: УÕýËɳڱäÁ¿ÐÞÕýÁ¿delsl, delsu % `( S9 j% R3 T% X, W
%S1: delsl delsl=Jg'*delX+LMU_MIN0; * p: f" h/ Z8 B2 M
%S2: delsu delsu=-Jg'*delX-LMU_MAX0;
6 s. b. e+ D; ]
3 k x% n6 c3 Q- S0 U* O! J# [%3rd Step: УÕýÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MIN,delMU_MAX
i- f$ {0 S! G%S1: delMU_MIN
temp=0; temp=-diag(MU_MIN)*sl+MUt*ones(42,1)-diag(delMU_MINaf)*delslaf-diag(MU_MIN)*delslaf;
1 u& F: w% Z7 [$ kfor i=1:42
temp(i)=temp(i)/sl(i);
% ]1 k8 C. E! Y$ W) ^9 Hend
temp(13)=0; delMU_MIN=temp; " U$ n5 d' O& ^5 H3 h1 n# W+ E
%S2: delMU_MAX temp=0; temp=-diag(MU_MAX)*su+MUt*ones(42,1)-diag(delMU_MAXaf)*delsuaf-diag(MU_MAX)*delsuaf; , A! Y) O( ?$ f3 \
for i=1:42 temp(i)=temp(i)/su(i); 9 h2 W" s9 p% t! |+ G0 ~
end temp(13)=0; delMU_MAX=temp; ! i4 D0 Z- {3 \
" v. C4 X" X V) v R4 [
%Calculate Newton Iteration ÐÞÕýÁ¿ END!!!!!!!!!!!!!! % U, z2 J2 d( t4 Z/ F
%% 3 T; o. F4 ~. T' L8 @
%¼ÆËãУÕýÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd
; Y, v( J9 g/ b2 y$ _, A5 b8 X* Q%S1: STEPp
9 u% f( p8 g' |+ O: p \' Z7 f. a
for i=1:42 : ~+ Z8 C' p; `" V3 e2 o( L" z( H
if (delslaf(i)~=0) temp1=-sl(i)/delsl(i); K$ K( R& t& R, d
else temp1=Inf; " q9 C% n& d# E5 j
end
/ r' Z9 Q7 O( pif (delsuaf(i)~=0)
temp2=-su(i)/delsu(i);
: N7 E b4 p1 [6 S jelse
temp2=Inf;
% d5 ?( X, U; }" W) Fend
" W% }# F0 J8 p: F2 Z5 }3 B% b0 L
if temp1<temp2 min=temp1; - ^1 M! v3 ? }% K/ K( ?2 j2 ?5 S, a
else min=temp2;
1 d: i+ p @: R3 W/ n6 f+ L2 O" Lend
- `$ D& @# S" q# O) e
if min>1 min=1;
' }& d, L7 z$ w* n4 `end
0 R( J5 l6 M- y' ?
end STEPp=0.9995*min;
2 u. F! b8 B4 P" p: T J1 u5 o%S2: STEPd
, W# j6 w" ~ l8 K
for i=1:42 temp1=-MU_MIN(i)/delMU_MIN(i); temp2=-MU_MAX(i)/delMU_MAX(i); 5 M$ _- x5 A4 \. {6 L _: E
if temp1<temp2 min=temp1; * Q* j. [ y0 S6 x2 a6 l
else min=temp2; 7 Z( M- q' f& k2 M1 g
end K5 U- v* ^& a7 s# |
if (i==13) min=0; $ I" K5 H* M1 X/ L3 Q8 ~& Q
end 9 C& N: u1 D. [ E" u$ j F( G
if min>1 min=1; + a- c0 s+ m( C: |9 Z% M3 _+ d; p8 I
end * ^4 P1 D/ l% n" V$ w( t4 p
end STEPd=0.9995*min; 8 f8 ]% P6 l2 |: K1 T Z1 X) |5 C
%¸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);
! N5 ~ D3 h+ H: R' u. T%¸üÐÂÔ Ê¼±äÁ¿ºÍ¶Ôż±äÁ¿ END!!!
+ U( J# T, ~8 i, u
0 X+ N0 G5 [& R%¼ÆËã¶Ôż¼ä϶%
ROU=sl'*MU_MIN+su'*MU_MAX; MUt=SIGMA*ROU/(2*length(sl));
6 K3 u; Q* c0 z+ s. b; n/ z%%
: t% m& G, n/ R' j) N( e. w2 Z%ÅжÏÊÇ·ñ³¬¹ýµü´ú´ÎÊý
ik=ik+1;
$ W8 V' E! N3 o: Q/ k' S0 Pif ik>IterNumMAX
disp('IterNum ERROR!!!!!');
7 t7 h+ G2 z' O* V$ S$ V" G* K+ k, q9 ebreak;
# E8 N0 x; v: E! M' S' Mend
" _7 J- C. y6 Z# d
end et = etime(clock, t1); %% %Êä³ö²¿·Ö ( j1 ]% T& h* ?0 M3 `) E8 u2 o b
if (ik<=IterNumMAX)
3 A% K: @) ` Y8 Q%%
8 u1 j( y0 U) e, i%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
& P* H# a# W0 v% T9 s' g
max=-10;min=10; for i=1:ik temp=LLam0(i);
1 U5 P, w6 U- H& Q* R( Jif (temp>max) max=temp;
" N/ E/ H( }: X6 `9 \( qend
- G6 _' r5 N8 T/ S6 Dif (temp<min) min=temp;
( ~& L9 h$ V+ ?7 @
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(' ------- -------'); c4 T' q/ O; ^8 y& `# A
for i = 1:30 fprintf('\n%5d%7.3f%9.3f', i,X(i+12),X(i+42)*180/pi); ! ^7 T; c @0 B
if (i<=6) fprintf('%10.2f%10.2f', X(i)*baseMVA, X(i+6)*baseMVA); ; H. @' b2 D% u# Y' {
else fprintf(' - - ');
+ G$ m6 G0 c% P5 O3 [; S. lend
fprintf('%10.2f %9.2f', bus(i, 3) , bus(i, 4) ); fprintf('%9.3f %9.3f', Lam(i),Lam(i+30)); ' k) g% m3 W9 _! R+ T
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'); ' c2 [. n2 Q h5 y1 [
end
? x0 E! S, \% nend
, C. n6 k% A& 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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发表于 2013-7-7 15:10:59
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