回复 2# redplum
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首先谢谢指教
* _5 {; l: R1 C: 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) & [2 E X( R- T
%%
, j5 r6 W5 Z5 D%Calcute h,g matrix
ROU=sl'*MU_MIN+su'*MU_MAX; errArr=[errArr;ROU;]; SIGMA=0; MU=SIGMA*ROU/(2*length(sl)); %ÖÐÐIJÎÊýÖÃÁã%
4 F8 r3 n$ y7 b2 R7 ^$ Afor i=1:30
temp=0; % V9 E. S0 a! G$ t& P% n
for j=1:30 temp=temp-V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); 0 h) ?: i& j( r9 j9 ]; C7 K) M+ ]
end 9 L) u% ~+ E7 ]9 O0 T1 E) b
if (i>6) tPg=0;
) B9 e2 Z) ^: X& oelse
tPg=Pg(i); ; Z x' i2 E3 C( @/ Q1 K
end h(i)=tPg-Pd(i)+V(i)*temp; N/ M \; z# R( } _2 O3 O
end 3 h2 U) L2 y- X9 M; {8 V
for i=1:30 temp=0; 6 e# |+ I' A! V3 G
for j=1:30 temp=temp-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); " \! o( q- ?3 Z) \, ?
end 3 l/ A9 p6 j) o# y/ R
if (i>6) tQg=0; 0 v M) V& } n2 l
else tQg=Qg(i);
- x3 x% _3 ] h \1 @; Q G" ]end
h(i+30)=tQg-Qd(i)+V(i)*temp;
, O1 B0 w" m* p9 k+ Oend
, e3 Q% Q- H3 L! Z9 M' H3 T7 d9 E% Cal h END
! n+ s; J6 l1 |
. J* q) ?8 F8 D5 n( ^8 Bfor i=1:6
g(i)=Pg(i); g(i+6)=Qg(i);
7 m/ J. z# ?/ ^ g5 Pend
3 F) A0 N. L7 |3 W7 H% p: u4 e
for i=1:30 g(i+12)=V(i);
/ j% c+ A' { ^6 K( h6 c/ v/ hend
+ p1 d1 c2 J. U- b4 u( D% Cal g END
# c# X7 c# w! M4 b V%Calcute h,g matrix END
9 { C" O4 a" s |% n* k
%%
% I3 A' g0 g. V6 Y7 H: e( w# \%Calculate Jacobian&Hessian matix
4 R% F" S$ Z) ^# v
%First Step: Jf,Hf
7 a' Q2 B/ }0 }, O* }; cfor i=1:6
Jf(i)=2*gencost(i,5)*Pg(i)+gencost(i,6); Hf(i,i)=2*gencost(i,6);
, W9 B& K8 h2 ]+ ?( zend
! ^. ^( X: u0 k
%Second Step: Jh, hΪµÈʽԼÊø . X3 r; `( n s; r7 R, L
for i=1:6 %Ç°6ÐжÔPgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i)=1; / ^1 P& }/ Y: _3 i& v
end
$ ], U6 T3 \& @for i=7:12 %7-12ÐжÔQgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö
Jh(i,i+24)=1; # T2 X+ B, e! U1 [3 `) b
end
* Q6 T3 d: c0 Jfor i=1:30 %ÐγÉ13-42ÐеÄ1-60ÁÐ
! ]- m5 ]+ d/ Q U Jfor j=1:30
tempVp=0; tempVq=0; o4 E6 T# N. S6 u& F
if (j==i)
9 S6 X# D9 X7 F, S9 C" }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));
( ^1 C9 q+ F% X' Q+ d6 U. U6 ~; pend
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));
- j: E0 V2 Z6 r/ {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)); ) Y( j2 Y0 H+ N( ?9 U' }8 D, d5 J
end 0 A# w! d }" R0 ~% t" t/ m
end
. n' b5 j; `# y0 {7 K9 ~1 [end
* y. [) z, k3 [% _for i=1:30 %ÐγÉ43-72ÐеÄ1-60ÁÐ
M8 m0 I. X" P0 _6 pfor j=1:30
tempVp=0; tempVq=0;
% l8 H5 @2 {& v3 W4 m: D mif (j==i)
. D9 P# [, H8 ~) 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));
# D1 n n' l+ F4 E1 }* ~, U5 K2 Mend
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; . W* _) `0 i/ E1 y7 p. w) D8 y
else 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));
o6 l: k/ b+ b9 i6 F5 B& q. a3 B* rend
3 z9 h5 }/ t8 W) L& C# `end
/ h- Z$ l( C& Q- e) w( Hend
l% R- S: n5 X h. T* h: E/ \7 s
%Third Step: Hh
# m! L) z( w, t) W: i- ~%Óй¦²¿·Ö
2 F& r6 u4 \8 m( ?: [) n9 a) Mfor i=1:30
/ s# Q4 M* [. P
for j=1:30 $ E" c0 ~3 I% X3 z7 R9 c' a
for k=j:30
2 K( x [% p# \' b k5 qif (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 \5 t7 \+ W+ l7 y2 P2 y/ h4 V) L0 ~: ^
elseif (j==k&&i==j) Hh(j+12,k+12,i)=-2*aY(j,j)*cos(Yth(i,i)); %VV temp=0; %thth
7 Y' C/ E5 p7 V. G/ Vfor l=1:30
temp=temp+aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l)); $ d) {6 o6 E! _( \! ]
end temp=temp-aY(i,i)*V(i)*cos(-Yth(i,i)); Hh(j+42,k+42,i)=V(i)*temp; 9 Z. h F" M. K) I- @$ I, `
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); ) H7 l5 d, W# J9 S
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 {3 T1 P& [! V# r
end ( d8 j: v+ V" p+ Y
end * ?8 ^8 N% u* x. B$ s
end ) D0 B" Y* l$ w/ @
end
! X6 x7 g+ l: b8 ~* Q) p3 x& q" C%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
- M, f# [) X; i5 V; a1 U. \for i=1:30
- F; b7 }8 I( \: ^8 |6 V) ofor j=1:30
' T u" k- l6 i- ]5 P8 L" vfor k=1:30
( B% E4 g. R3 nif (j==k&&i~=j)
Hh(j+42,k+12,i)=-V(i)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV 9 h) C Q9 f' D- L, _' J4 @- c
elseif (j==k&&i==j) temp=0; %thV
: W, M) c3 v. I. {6 Ifor l=1:30
temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); - a% g! W7 H" I+ T
end Hh(j+42,k+12,i)=temp-V(i)*aY(i,i)*sin(-Yth(i,i));
3 i! t* Q+ Q8 o9 Kelseif (j==i)
Hh(j+42,k+12,i)=V(i)*aY(i,k)*sin(Vth(i)-Vth(k)-Yth(i,k)); %thV ( U1 E' _, R1 U
elseif (k==i) Hh(j+42,k+12,i)=-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV 6 {9 Q. k1 ]/ x1 p
end 1 M( d3 G- z" j/ r: L# ^" o% I
end
5 D4 k5 P! |* g+ aend
Hh(13:42,43:72,i)=Hh(43:72,13:42,i)'; ! ^" z6 l8 t4 _9 m2 v9 q3 E
end
; N2 o. R- Y+ M7 B- [3 V%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£© 2 y) g' ?, c* t
%ÎÞ¹¦²¿·Ö
+ K0 {9 B, b+ v. P9 k" w: n- }/ j" E/ Cfor i=1:30
# F. c) z8 g1 P. ~8 D: Z! \; j
for j=1:30 ! E1 b2 O) h( Q, @4 ~6 h" z1 n
for k=j:30
/ Q' ~3 B7 s; `' H- r1 J4 n+ V4 dif (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
9 L! g% }6 y" W/ helseif (j==k&&i==j)
Hh(j+12,k+12,i+30)=2*aY(j,j)*sin(Yth(i,i)); %VV temp=0; %thth 6 z1 g1 d# }* C
for l=1:30 temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l));
. M: o) @5 m9 ^" {end
temp=temp-aY(i,i)*V(i)*sin(-Yth(i,i)); Hh(j+42,k+42,i+30)=V(i)*temp; ! i1 q% C" C) W/ x
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); % E0 ~" F: x$ z9 P+ {
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); + C/ I7 p0 X" D$ p- I
end * Q1 B+ Q; s: v6 S/ c3 N" A" x+ M- c
end 9 \& q& E$ i4 r) n
end
2 ^& }$ H2 s/ P% t# g1 H7 aend
* {% O6 m( m2 H b8 U%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
* t( @$ \/ K& T9 J/ E
for i=1:30
% v" X' H& ? ?, \( U5 y& Gfor j=1:30
L* q/ u5 U5 u3 S0 tfor k=1:30
4 K' C+ P' g7 {3 p
if (j==k&&i~=j) Hh(j+42,k+12,i+30)=V(i)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thV " D9 q- _- ?1 X- R
elseif (j==k&&i==j) temp=0; %thV 5 F, p, W* P1 p2 k
for l=1:30 temp=temp-aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l)); 3 f" u! \6 F/ j" ?8 i2 Y
end Hh(j+42,k+12,i+30)=temp+V(i)*aY(i,i)*cos(-Yth(i,i));
" n# J) l6 x: A' G# Telseif (j==i)
Hh(j+42,k+12,i+30)=-V(i)*aY(i,k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %thV
! w1 Z, A: L& Lelseif (k==i)
Hh(j+42,k+12,i+30)=V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thV & Q, h" W; t/ M7 u& k; R( V1 o# w
end + ]3 e* P3 k! w
end
5 s3 S5 g9 N! _4 [" N' r* pend
Hh(13:42,43:72,i+30)=Hh(43:72,13:42,i+30)'; - v3 T8 y- z: p, @$ }1 M) F1 ]
end
7 H R/ o0 K8 t) n) r+ u9 {. P6 d%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£©
^" d7 y* J. u! R0 ^( B* w4 m%HhÐγÉÍê±Ï
8 m4 K4 }5 a9 f%Fourth Step: Jg, Hg
Jg=eye(42,42); Jg=[Jg;zeros(30,42)]; Hg=zeros(72); - l7 t- m. Q" N2 ?
%Calculation Jacobian&Hessian matrix END
3 f) g7 w6 l3 f' ]8 s%%
2 J2 d; B* ^6 m4 g/ g* i& G
%Calculate Newton Iteration Îó²îµü´úÁ¿
( ^" C& j4 r3 P: g%Cal LX0-------------------------1
LX0=Jf-Jh*Lam+Jg*(-MU_MIN+MU_MAX);
' @& V" \& F3 h n! ^/ O2 B* A%Cal LLam-------------------------2
LLam0=h; pferr=max(LLam0);
0 C. ]+ D9 @ A$ s" j%Cal LMU_MIN-------------------------3
LMU_MIN0=g-sl-gmin; 4 `+ J: x$ D5 m$ A H1 w& I& v
%Cal LMU_MAX-------------------------4 LMU_MAX0=g+su-gmax; + H; c, p6 ^7 \) o D5 f' H
%Cal Lsl-------------------------5 Lsl0=diag(MU_MIN)*diag(sl)*ones(length(sl),1)-MU*ones(length(sl),1);
0 S1 Q! G2 E% }. f- ` o%CAl Lsu-------------------------6
Lsu0=diag(MU_MAX)*diag(su)*ones(length(su),1)-MU*ones(length(su),1);
: U- v ^7 x6 s1 o7 b& C& J%Calculate Newton Iteration Îó²îµü´úÁ¿ END!!!
+ ]8 f' h: u8 h+ o
%%
' i- V' x) K4 ^%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿
: O# I* |5 N0 ^6 i%1st Step: ·ÂÉäÐÞÕýÁ¿delXaf,·ÂÉäÐÞÕýÁ¿delLamaf
# B( J2 ^& A- Z, w1 g1 {, h7 _5 v
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã
7 [# g( T U) S! [( jfor i=1:60
temp=temp+Lam(i)*Hh(:,:,i);
- w& t: q8 D" }7 E. pend
tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg';
! Y! q. d0 G6 J: ]4 i: Efor i=1:42
tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i);
# X+ q5 H. O2 i7 v+ b+ |/ Kend
tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg';
! C( l! r/ x1 `for i=1:42
tempgMUg2(i,:)=tempgMUg2(i,:)/su(i); . v3 K* Z' A/ V9 L$ o3 {' A3 B
end H=Hf-temp+tempgMUg1+tempgMUg2; : z6 r; p! ]7 d
%S2:·ÂÉäKESAaf tempgMUg1=0; tempgMUg1=diag(MU_MIN)*sl+diag(MU_MIN)*LMU_MIN0;
- h5 X7 I a* c% n9 [. lfor i=1:42
tempgMUg1(i)=tempgMUg1(i)/sl(i);
( ?8 A" \$ t; E7 \end
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=diag(MU_MAX)*su-diag(MU_MAX)*LMU_MAX0; . y) N) U5 V- l# O& X0 s& Y t
for i=1:42 tempgMUg2(i)=tempgMUg2(i)/su(i); # e8 W! R8 Z' R# Z0 I
end tempgMUg2=Jg*tempgMUg2; KESAaf=LX0+tempgMUg1-tempgMUg2;
2 m, k( A" `% H# W. ]%S3:JACOBIAN
JACOBIAN=[H -Jh;Jh' zeros(60)];
+ G) f, y/ a$ s, c: S& |%S4£ºRESULT
RESULT=-[KESAaf;LLam0];
l' [- f( @ ^/ Y%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
$ Y4 b* |' k2 w' J
7 E' J9 E k4 t3 e2 H7 C0 |%2nd Step: ·ÅÉäËɳڱäÁ¿ÐÞÕýÁ¿delslaf, delsuaf
3 f4 `; d9 |6 r W& m( y
%S1: delslaf delslaf=Jg'*delXaf+LMU_MIN0;
! E6 r/ t6 J1 K%S2: delsuaf
delsuaf=-Jg'*delXaf-LMU_MAX0; 1 h- o9 c' ^7 g% Y! L- b6 k% V
$ {/ `2 }( a1 v) C
%3rd Step: ·ÅÉäÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MINaf,delMU_MAXaf * j# d6 z1 l7 |4 {5 p4 W8 a
%S1: delMU_MINaf temp=0; temp=-Lsl0-diag(MU_MIN)*delslaf; . x$ |- D+ p$ w
for i=1:42 temp(i)=temp(i)/sl(i); . w+ H0 f8 ]1 j% R/ j6 h! l8 y
end temp(13)=0; delMU_MINaf=temp; ' Y3 K8 y! H+ B
%S2: delMU_MAXaf temp=0; temp=-Lsu0-diag(MU_MAX)*delsuaf;
# ^) C# {! y' p* G0 Tfor i=1:42
temp(i)=temp(i)/su(i); % G; _2 P" |% }3 j2 [
end temp(13)=0; delMU_MAXaf=temp; ( T* @! M" W) U- X% L" ?
# z, U, h& }( A1 C%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ END!!!!!!!!!!!!!!
- y) J, a' n3 M) w! [( K6 z, Z! g
+ X4 M6 \- p7 d/ }, U1 `4 G
%% 1 J% t5 s) l) q0 U' K" H
%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPpaf£¬ STEPdaf ( R- N+ W* d' S4 c: |$ _* S
%S1: STEPpaf , C$ I! D t4 n* q/ {
for i=1:42
0 o5 s) c7 _ B9 ?( Zif (delslaf(i)~=0)
temp1=-sl(i)/delslaf(i);
6 {+ a# c) A, x; n* |' Jelse
temp1=Inf;
# {) ^( n3 e' t4 n, E* Zend
+ M9 X3 A! ?1 h7 P4 Mif (delsuaf(i)~=0)
temp2=-su(i)/delsuaf(i);
6 r; @* G [1 B& P: t) S$ yelse
temp2=Inf; 2 T& `5 _! W& ^% f# i" P* `5 a1 Q
end 8 a& p. |6 C7 C
if temp1<temp2 min=temp1;
4 j4 F. F* X) x9 i9 A/ X& uelse
min=temp2;
z% U+ |! [4 b4 w2 H3 Yend
! v3 l3 e6 C, @/ ]- w0 S
if min>1 min=1; 6 d+ C6 F# ]3 ~
end 6 j3 J; ?/ a4 _( M
end STEPpaf=0.9995*min; 3 R2 l* I9 y: o2 b3 r
%S2: STEPdaf
# ~$ d2 @8 p% sfor i=1:42
temp1=-MU_MIN(i)/delMU_MINaf(i); temp2=-MU_MAX(i)/delMU_MAXaf(i); 5 a6 k. h- T1 u
if temp1<temp2 min=temp1; 4 z* e9 C' C H
else min=temp2;
" B" C2 d$ ^2 N2 @; Pend
# v. A' k5 i( g% v! x. e
if (i==13) min=0; 1 K$ m" ^) g# b3 i# J' ^
end 8 m+ G5 G+ _6 Y) j
if min>1 min=1;
, ^2 B; n1 h6 o+ Mend
" U9 S6 j1 \! K1 wend
STEPdaf=0.9995*min; + X, ]& W7 G. A0 ]2 O: s9 `8 h
%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd END!!!!! ) n# e x/ u: Z1 r0 i3 {0 E% y
3 X8 i5 {& ?4 X
%¼ÆËã·ÂÉä¶ÔżÒòÊý¼°³Í·£Òò×Ó% ROUaf=(sl+STEPpaf*delslaf)'*(MU_MIN+STEPdaf*delMU_MINaf)+(su+STEPpaf*delsuaf)'*(MU_MAX+STEPdaf*delMU_MAXaf); " p( C* y' e9 M2 H- Q
if (ROUaf/ROU)^2<0.2 SIGMA=(ROUaf/ROU)^2; + u* N4 V5 z& ?" M& v9 t
else SIGMA=0.2; 7 L" V1 k/ {! Z) E8 N( D
end MUaf=SIGMA*ROUaf/(2*length(sl));
, e# ~+ W3 G8 q9 {# {8 N/ j%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; 1 r; s- N7 A& N4 X6 c* Q
%Calculate Newton Iteration ÐÞÕýÁ¿ 4 `9 }: O, z8 Z# z0 q
%1st Step: УÕýÐÞÕýÁ¿delX,ÐÞÕýÁ¿delLam
6 [9 d/ w9 u8 b; s5 M6 m%S1:H
temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã
/ Q- q- F! a% t0 g; e. K/ S0 Rfor i=1:60
temp=temp+Lam(i)*Hh(:,:,i); A) u( U3 q0 n5 J4 {
end tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg'; , p0 ]. i, R* H; y5 e/ ^( p
for i=1:42 tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i); 8 L& _! j( ]* I
end tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; ' O1 _& F) `* Q1 v! d
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
: H7 F! |1 z# n9 f* F3 X5 {end
H=Hf-temp+tempgMUg1+tempgMUg2; & ?+ I, K! A7 C S
%S2:УÕýKESA tempgMUg1=0; tempgMUg1=Lsl0+diag(MU_MIN)*LMU_MIN0+diag(delslaf)*delMU_MINaf; V, Q4 H/ Y9 V! @" j, b& y( `7 n+ Q
for i=1:42 tempgMUg1(i)=tempgMUg1(i)/sl(i);
# O4 D* p; v4 g5 h6 a. E/ qend
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=Lsu0-diag(MU_MAX)*LMU_MAX0+diag(delsuaf)*delMU_MAXaf; ; x& D3 C ~9 E3 a% j# o6 o( X- b
for i=1:42 tempgMUg2(i)=tempgMUg2(i)/su(i);
5 J/ n7 P* D1 Aend
tempgMUg2=Jg*tempgMUg2; KESA=LX0+tempgMUg1-tempgMUg2; ! x; _; S Z: o' _' u! u0 c. n
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)];
0 L4 K$ z. y7 G+ E%S4£ºRESULT
RESULT=-[KESA;LLam0];
2 w& S! I# e; E( b7 N6 p5 G0 M%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
) L: Q/ _! H. _' O: `
7 |) t. p* v. l. Y0 f! I$ ?
%2nd Step: УÕýËɳڱäÁ¿ÐÞÕýÁ¿delsl, delsu 4 b- i* t& E9 @/ D4 {, m& G
%S1: delsl delsl=Jg'*delX+LMU_MIN0; ( @ E& Q8 x. E3 O( P5 g9 B) Z( ~
%S2: delsu delsu=-Jg'*delX-LMU_MAX0; 2 |5 Y1 C* t- U
# g( R T; N, B; i D \%3rd Step: УÕýÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MIN,delMU_MAX
[% @% w8 z" ]$ z%S1: delMU_MIN
temp=0; temp=-diag(MU_MIN)*sl+MUt*ones(42,1)-diag(delMU_MINaf)*delslaf-diag(MU_MIN)*delslaf; 6 l/ T& B4 `& p) j
for i=1:42 temp(i)=temp(i)/sl(i);
& \. I+ P/ K7 J* y: c/ jend
temp(13)=0; delMU_MIN=temp;
( C2 V" X. r3 a7 W! M%S2: delMU_MAX
temp=0; temp=-diag(MU_MAX)*su+MUt*ones(42,1)-diag(delMU_MAXaf)*delsuaf-diag(MU_MAX)*delsuaf;
7 C( |; \7 \& a" c* X' pfor i=1:42
temp(i)=temp(i)/su(i);
# S3 h- d3 r- o/ [* Aend
temp(13)=0; delMU_MAX=temp; 8 d# h& M/ O% |$ ?. s
0 }/ @( v$ f c7 c3 S% W
%Calculate Newton Iteration ÐÞÕýÁ¿ END!!!!!!!!!!!!!!
z9 u5 N( P# ]9 w; z$ r& r; G%%
, Y( i9 v& J# y" }6 C# B%¼ÆËãУÕýÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd
0 y4 Z1 x$ N7 O9 I%S1: STEPp
; A6 ]9 l1 [/ t, {* n
for i=1:42 3 ~: S2 {2 C9 g- i+ i
if (delslaf(i)~=0) temp1=-sl(i)/delsl(i);
$ |* b7 S: z$ l9 ]6 e% U/ s* Velse
temp1=Inf;
- J( l- s) x- @- D" Z* bend
% I+ s' h6 g F0 r7 o( G
if (delsuaf(i)~=0) temp2=-su(i)/delsu(i);
- L" K- u9 ^- E! q4 y1 zelse
temp2=Inf; % P8 m+ a; Z1 k; E7 S- F) r: _5 M9 @
end
) l$ W2 U8 R, Q$ }6 C) O- Pif temp1<temp2
min=temp1;
6 Y* v- q) P1 [% _# Lelse
min=temp2; . J- c! x; G5 |4 [5 Z) h% c
end 7 B2 R% O3 u) {9 K9 g$ Q- W
if min>1 min=1;
( n# w& x9 u+ Y/ W% f" Dend
" I% |$ e6 H6 A- k% B9 e* Eend
STEPp=0.9995*min;
/ ]( D. ~/ y4 V* _# w%S2: STEPd
7 | H0 Q0 j6 \ Kfor i=1:42
temp1=-MU_MIN(i)/delMU_MIN(i); temp2=-MU_MAX(i)/delMU_MAX(i); ) f4 r; ^- X% E# Z4 a$ ?
if temp1<temp2 min=temp1;
& B* o- f; u7 a1 }6 [! Xelse
min=temp2; 9 e# R, W. J. L( V/ G
end
5 \: n) L7 k7 x* O5 F( i& l0 `& Cif (i==13)
min=0;
$ A# I$ Q, ^! k \" _0 K# \end
m0 { A3 K$ B# C: G! I
if min>1 min=1; * e) o) Z! s H: X& U% `3 V3 @' ]6 `) k
end
2 Y% u& R1 g/ w9 iend
STEPd=0.9995*min;
f- G7 u/ L* i) ?%¸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);
) B0 V5 a; X& ]/ G2 ~6 H/ h j%¸üÐÂÔ Ê¼±äÁ¿ºÍ¶Ôż±äÁ¿ END!!!
6 |% g* P- f) C) i$ [" T3 X
' e5 ?, _" ^4 q0 R
%¼ÆËã¶Ôż¼ä϶% ROU=sl'*MU_MIN+su'*MU_MAX; MUt=SIGMA*ROU/(2*length(sl)); " i* z8 `0 l; l# @
%% ' O$ |( c* s/ K$ ?: @
%ÅжÏÊÇ·ñ³¬¹ýµü´ú´ÎÊý ik=ik+1;
% W$ B4 ] |7 b7 ?4 Q1 {if ik>IterNumMAX
disp('IterNum ERROR!!!!!');
: m2 Q. Y5 n L1 m4 jbreak;
# @- j: y0 T0 k* |end
5 f( V4 n& b- j5 r1 r2 ]% k* P' o* u
end et = etime(clock, t1); %% %Êä³ö²¿·Ö ' W7 x" j( }4 R; M& s+ c g
if (ik<=IterNumMAX) , [; R( j, q1 d8 l" i
%%
% n" d* s8 b. o; t3 g# T%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 0 q, L. q# M4 Q( l5 ?
max=-10;min=10; for i=1:ik temp=LLam0(i); * [( z3 _8 c( k& o+ T0 f+ E
if (temp>max) max=temp; ( w2 F; Z) Z: J* e
end
( u% d6 R% o- P8 sif (temp<min) min=temp;
9 P; ?6 D w4 h3 o7 aend
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(' ------- -------'); , Y& i" \5 O/ ?- y6 l J: }; d
for i = 1:30 fprintf('\n%5d%7.3f%9.3f', i,X(i+12),X(i+42)*180/pi); 8 j1 M4 A0 e1 B5 W4 M ^$ B
if (i<=6) fprintf('%10.2f%10.2f', X(i)*baseMVA, X(i+6)*baseMVA);
/ ?3 I5 s5 T2 [' z9 A. q9 z# eelse
fprintf(' - - '); % f& q. _3 w# Q& o, p& j
end fprintf('%10.2f %9.2f', bus(i, 3) , bus(i, 4) ); fprintf('%9.3f %9.3f', Lam(i),Lam(i+30)); ! p$ z7 ?- l) V% B
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'); ' T! t* A5 M1 y& O1 k1 f
end : J: ^2 p* W( b, t& w- T
end ' l5 Y1 h0 Q0 j6 v9 f
%% %%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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