回复 2# redplum 9 [) r" v# b- w2 E" B0 b4 ]$ g# l
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首先谢谢指教
9 M4 Y: @# I1 M+ U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)
. q; w5 U) v5 k9 B0 |5 u; i. _%%
2 t& T3 N- C1 I: r V' w7 x%Calcute h,g matrix
ROU=sl'*MU_MIN+su'*MU_MAX; errArr=[errArr;ROU;]; SIGMA=0; MU=SIGMA*ROU/(2*length(sl)); %ÖÐÐIJÎÊýÖÃÁã%
3 R! V$ i0 C* W. q/ S1 ]for i=1:30
temp=0; ( F' m2 Q4 i1 G! K! |! _3 y, z: Z
for j=1:30 temp=temp-V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j));
1 M. O7 N, H. T5 ?; Wend
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if (i>6) tPg=0; 8 B, V) T; e( m* {( c; l
else tPg=Pg(i);
( w; k3 E: o5 d1 |end
h(i)=tPg-Pd(i)+V(i)*temp;
, K/ q& y% _# e/ Wend
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for i=1:30 temp=0; : t& J/ X$ j. }# q8 Q& G9 \" S# G
for j=1:30 temp=temp-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); 9 [* f" O0 l, h4 v
end
) M6 C$ f* j* ~1 \5 B. R( V+ c+ mif (i>6)
tQg=0; : |8 E& Q% [1 n0 l, F
else tQg=Qg(i); & X7 |) {% r4 ^, n7 r# H
end h(i+30)=tQg-Qd(i)+V(i)*temp;
3 \. @" j" [, b0 k* @% p/ Yend
- s" E% s5 @4 F6 D% Cal h END
2 L: v7 `0 s# f0 d n" e. h
* ]* c4 \0 X& d5 qfor i=1:6
g(i)=Pg(i); g(i+6)=Qg(i); , v6 \( X; B+ y
end , t5 f& I5 R; L% `* ?
for i=1:30 g(i+12)=V(i); + [& g4 `* @$ v7 i4 _* u" {: X
end
+ }+ o: h6 x) q/ t% Cal g END
4 L8 Z& a4 ^3 b! _%Calcute h,g matrix END
6 g8 Z' N9 A! R# O2 j$ l% W4 |0 O/ x%%
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%Calculate Jacobian&Hessian matix 5 n" x4 m- @5 D2 `( o
%First Step: Jf,Hf . G0 S8 |0 U( C, x2 d
for i=1:6 Jf(i)=2*gencost(i,5)*Pg(i)+gencost(i,6); Hf(i,i)=2*gencost(i,6);
" ]5 p6 O% q- h5 ?' d" L6 Dend
5 E4 U7 Y0 s+ V%Second Step: Jh, hΪµÈʽԼÊø
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for i=1:6 %Ç°6ÐжÔPgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö Jh(i,i)=1; 0 Y" A- R. n8 `; s! H
end
. @' q' N$ }- ?; x4 {, g3 d7 afor i=7:12 %7-12ÐжÔQgÇóµ¼£¬ÓÉ´ËÒÑÇó³ö
Jh(i,i+24)=1;
. k/ \3 q% j( l5 o5 T2 m6 tend
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for i=1:30 %ÐγÉ13-42ÐеÄ1-60ÁÐ , f& I" p0 Y* g& V1 x8 J
for j=1:30 tempVp=0; tempVq=0;
9 l! t; K8 i A1 dif (j==i)
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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));
9 c b1 f$ h* ]* Tend
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)); * ?& i: u+ r- ~: m6 ]* y
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)); $ `( ]5 o/ T7 M6 n
end ) y6 r8 }, X7 L5 n9 X
end
9 W2 v- b! R: T9 W) m$ |end
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for i=1:30 %ÐγÉ43-72ÐеÄ1-60ÁÐ # B5 L* p! I% v. z, R) U
for j=1:30 tempVp=0; tempVq=0;
) U- ~& }, U# [1 J$ Oif (j==i)
$ V- w5 A0 y% H& w- m, v' r6 Sfor 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));
q; G; Q7 L/ Z) N" n7 iend
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;
6 [, v* H6 V1 f4 `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));
1 F: j( ^7 N; g1 Tend
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end $ V8 I% V4 G/ e, T; ^1 I- X, ~" ]
end
( ?' _& s1 [6 ?7 m%Third Step: Hh
* M2 a* a6 l# H1 p%Óй¦²¿·Ö
N; n- X" U$ L/ r9 r/ r9 qfor i=1:30
+ I1 ?6 |* ^8 @- u0 \7 @for j=1:30
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for k=j:30
6 r6 K3 L# U! D Q7 E) x& hif (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
) P" h, e8 H- lelseif (j==k&&i==j)
Hh(j+12,k+12,i)=-2*aY(j,j)*cos(Yth(i,i)); %VV temp=0; %thth
2 {: J% ?" J; ~8 P; yfor l=1:30
temp=temp+aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l));
; k5 `' {* W. s9 J; l7 q! gend
temp=temp-aY(i,i)*V(i)*cos(-Yth(i,i)); Hh(j+42,k+42,i)=V(i)*temp;
1 n& s( |, Q- l6 J Z* h: y2 relseif (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); 0 q: p% Y. v/ O! b. S9 A$ N
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);
1 ^! z+ G) G8 e& E" b2 i' g' lend
( z. ?8 U/ k. f8 h) Z+ b/ g& i6 p! Xend
" ?) n: E3 U& Fend
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end5 P7 ^) Z6 X8 V. H4 g
%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
9 E3 a0 a; y7 ^- d5 Efor i=1:30
) ^+ B% x: p% j, F3 H; M gfor j=1:30
, `5 `: ^$ o$ v/ s1 \for k=1:30
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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 3 q) G7 w7 p' N
elseif (j==k&&i==j) temp=0; %thV
- Y; t! m ]9 |* i: `5 @* Y, Dfor l=1:30
temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); ! I$ b- p/ ]$ |0 N
end Hh(j+42,k+12,i)=temp-V(i)*aY(i,i)*sin(-Yth(i,i)); 8 U/ {# C, X. y6 v+ 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 t" O* r! J: y) U) ?' f3 Eelseif (k==i)
Hh(j+42,k+12,i)=-V(j)*aY(i,j)*sin(Vth(i)-Vth(j)-Yth(i,j)); %thV
! S T# J2 U! |end
% V& _7 S/ s" o; q1 S! w1 D0 Z( F$ A
end $ P3 L- W' l3 W: b2 b% R; { p: L' `
end Hh(13:42,43:72,i)=Hh(43:72,13:42,i)'; ! p$ D: z3 u3 h* N' o' o& E
end1 O) ~" {, Y% f1 X t; ^9 S
%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£© * O. @# a2 V! s: ~
%ÎÞ¹¦²¿·Ö 5 ?" W6 S' T' P3 f9 j7 Q: e; D- Z" y
for i=1:30 6 w% b( U* m( a" Z$ j O6 O
for j=1:30 ' @4 {: k6 n0 H; N) e- p, c$ d
for k=j:30
# F6 u6 m1 G% O/ g; s& O" O5 m$ vif (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
3 p, G1 b# Z7 U3 Felseif (j==k&&i==j)
Hh(j+12,k+12,i+30)=2*aY(j,j)*sin(Yth(i,i)); %VV temp=0; %thth
) p9 y, V9 H7 c9 t0 ]* F) h& Ifor l=1:30
temp=temp+aY(j,l)*V(l)*sin(Vth(j)-Vth(l)-Yth(j,l)); $ N8 v8 ]" G0 F( n
end temp=temp-aY(i,i)*V(i)*sin(-Yth(i,i)); Hh(j+42,k+42,i+30)=V(i)*temp; ' L! i- W G2 |
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); 2 `1 x/ O( b. v5 N4 H4 V
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); 3 L: R4 t( U* t0 ]% }
end 1 y% i. w' O1 ?; o" w
end
# ?$ }' R1 } J8 {0 n+ fend
2 Q# h# E" O/ n/ u. b7 E& d* ~end
) a6 g3 L* Q9 Z: a* c%ÖÁ´ËÒÑÐγɣ¨13-42£¬13-42£©ºÍ£¨42-72£¬43-72£©
* o- E1 h! T t1 J( c, _8 Rfor i=1:30
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for j=1:30 . D& Z+ h7 c L9 P5 L/ P
for k=1:30
; \7 k) ~6 z" E9 fif (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
5 a4 g& H- n* p- H" J( Ielseif (j==k&&i==j)
temp=0; %thV
: |4 n& F* o; A. }for l=1:30
temp=temp-aY(j,l)*V(l)*cos(Vth(j)-Vth(l)-Yth(j,l));
0 L* j3 B3 M" Gend
Hh(j+42,k+12,i+30)=temp+V(i)*aY(i,i)*cos(-Yth(i,i)); ( f; ]3 o7 e# h! E
elseif (j==i) Hh(j+42,k+12,i+30)=-V(i)*aY(i,k)*cos(Vth(i)-Vth(k)-Yth(i,k)); %thV
, ?% J0 k0 z2 L- n; X- ~) `; n# Pelseif (k==i)
Hh(j+42,k+12,i+30)=V(j)*aY(i,j)*cos(Vth(i)-Vth(j)-Yth(i,j)); %thV @0 Z9 z$ q4 G2 d
end 2 k" P: H3 H& A" G- A$ j: X
end
/ A6 b2 P" ^. R2 send
Hh(13:42,43:72,i+30)=Hh(43:72,13:42,i+30)'; ' }/ b: \" m* x
end# v+ {" P; `9 v$ u- H
%ÖÁ´ËÒÑÐγɣ¨42-72£¬13-42£©ºÍ£¨13-42£¬43-72£© / O4 z! R7 o( x( x
%HhÐγÉÍê±Ï 2 I) C# e. ~" \0 r/ L* m6 i! `4 D8 P
%Fourth Step: Jg, Hg Jg=eye(42,42); Jg=[Jg;zeros(30,42)]; Hg=zeros(72);
K3 d9 w" k+ Z7 W; u5 u%Calculation Jacobian&Hessian matrix END
& ^$ C# ~. J4 r' m
%% / f- b- z3 h {6 p
%Calculate Newton Iteration Îó²îµü´úÁ¿
5 s1 C1 D. v$ O s x%Cal LX0-------------------------1
LX0=Jf-Jh*Lam+Jg*(-MU_MIN+MU_MAX); 1 E( X; E/ K% j; P, ]+ {5 x
%Cal LLam-------------------------2 LLam0=h; pferr=max(LLam0); 6 i3 O" _8 X* ]
%Cal LMU_MIN-------------------------3 LMU_MIN0=g-sl-gmin; + @ V' Y% H" s+ Q" d7 m. `
%Cal LMU_MAX-------------------------4 LMU_MAX0=g+su-gmax;
0 k* Z8 l1 O3 ~' y9 d%Cal Lsl-------------------------5
Lsl0=diag(MU_MIN)*diag(sl)*ones(length(sl),1)-MU*ones(length(sl),1);
4 x! B3 U3 Z" f; T( R% h/ s%CAl Lsu-------------------------6
Lsu0=diag(MU_MAX)*diag(su)*ones(length(su),1)-MU*ones(length(su),1); 4 n: O: E# c1 t
%Calculate Newton Iteration Îó²îµü´úÁ¿ END!!!
$ G' Y- Z$ Q7 @; O( H%%
, p& I5 c6 }1 O) S- `6 ^( _%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿
5 T& N. \# x1 L, B1 O$ Y7 c%1st Step: ·ÂÉäÐÞÕýÁ¿delXaf,·ÂÉäÐÞÕýÁ¿delLamaf
V' I3 i/ S$ ~# K3 p ], Z
%S1:H temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã ) l e% P5 Y9 s) \+ F0 T' v6 Y
for i=1:60 temp=temp+Lam(i)*Hh(:,:,i);
( \. ~2 D4 |; h/ S& v \5 ]end
tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg';
y4 {% ^: P; D8 }for i=1:42
tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i); / F8 t% c8 k' E* s* R8 F5 Q% J
end tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg'; ( ?) u5 Y/ Y" r8 [
for i=1:42 tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
2 m! L) v& C0 F6 j( G6 S+ Oend
H=Hf-temp+tempgMUg1+tempgMUg2;
' R5 k. T. K0 k' L0 S* y2 S; ^%S2:·ÂÉäKESAaf
tempgMUg1=0; tempgMUg1=diag(MU_MIN)*sl+diag(MU_MIN)*LMU_MIN0; 4 G" F; ~1 T; y8 G
for i=1:42 tempgMUg1(i)=tempgMUg1(i)/sl(i); ( @, X' c( ~* M; w4 Q
end tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=diag(MU_MAX)*su-diag(MU_MAX)*LMU_MAX0;
Y* ~4 M% o+ V5 v8 ^for i=1:42
tempgMUg2(i)=tempgMUg2(i)/su(i);
( Q' L' I% d& c( {) ]! t- send
tempgMUg2=Jg*tempgMUg2; KESAaf=LX0+tempgMUg1-tempgMUg2; ' N: P" C! `1 Z) ]3 }* ~
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)];
' f, y) ?. l; V' N2 k4 H%S4£ºRESULT
RESULT=-[KESAaf;LLam0];
2 a9 D" t! t. {) @# `; M%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
8 {$ F+ P. n$ \" a
; B! o# s: V) H% A- c! [$ {%2nd Step: ·ÅÉäËɳڱäÁ¿ÐÞÕýÁ¿delslaf, delsuaf
7 d2 @, m5 O# |9 e( g
%S1: delslaf delslaf=Jg'*delXaf+LMU_MIN0; ; E+ u+ K, d9 ~& X
%S2: delsuaf delsuaf=-Jg'*delXaf-LMU_MAX0;
4 @* A7 n# h4 n( f7 K! t
8 F- Y. g/ z4 y0 {
%3rd Step: ·ÅÉäÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MINaf,delMU_MAXaf
) O: m5 Z$ {( Q: C%S1: delMU_MINaf
temp=0; temp=-Lsl0-diag(MU_MIN)*delslaf;
, r; G4 \" w& X8 G. [ a( p/ Rfor i=1:42
temp(i)=temp(i)/sl(i); , b0 e5 j& O7 X2 y% Q4 Q! b
end temp(13)=0; delMU_MINaf=temp; v5 C$ N0 o0 ], U1 X6 N
%S2: delMU_MAXaf temp=0; temp=-Lsu0-diag(MU_MAX)*delsuaf;
) K9 H, N% c( i) C1 ]& ]for i=1:42
temp(i)=temp(i)/su(i);
, [/ Y* k: {, @; D& V$ d% ^) Iend
temp(13)=0; delMU_MAXaf=temp; 2 m! b, S" c5 r) `" i
0 h. i: @6 D( T H: e, E%Calculate Newton Iteration ·ÂÉäÐÞÕýÁ¿ END!!!!!!!!!!!!!!
, k, Q# E6 u- @ g$ N' H: [; I6 W
0 Q Y/ V% q; ~6 }0 v# o: N%%
/ b( D8 ~. `3 `# `) f# i%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPpaf£¬ STEPdaf
$ l7 E- u$ x$ w9 k- s
%S1: STEPpaf
8 g' H1 C$ k5 @3 \ ?/ n. Z, rfor i=1:42
& L* t* T+ }* Uif (delslaf(i)~=0)
temp1=-sl(i)/delslaf(i);
% @' S3 I4 N2 j/ _/ C0 c$ B: Q! I4 Oelse
temp1=Inf;
1 G% Y" D' V( {$ ^! U/ @end
( [0 E) l$ C3 O& v8 iif (delsuaf(i)~=0)
temp2=-su(i)/delsuaf(i); : E) K) D; K* V$ `6 \
else temp2=Inf;
u* [5 J( X7 a, ~5 ]end
0 y. Y- o( Q, G( i" Fif temp1<temp2
min=temp1; % p! l% O( G; X6 S. W$ O2 G
else min=temp2; 5 u& G. L/ x8 Q0 i8 o
end 7 c" a! y! e3 j0 J
if min>1 min=1;
$ c, k0 T( R7 v% @end
1 j: C3 g7 }! `! w6 Cend
STEPpaf=0.9995*min; # n( S& C) K9 e
%S2: STEPdaf 9 h4 k- h9 l; D, |. i
for i=1:42 temp1=-MU_MIN(i)/delMU_MINaf(i); temp2=-MU_MAX(i)/delMU_MAXaf(i);
8 u/ E3 i4 p- C* X& fif temp1<temp2
min=temp1;
& j, |7 c, P3 Velse
min=temp2; $ r i/ L& f$ X6 d* F, `* L
end y$ r, q* g4 n3 V; O7 F
if (i==13) min=0; , g& o9 r8 M* `8 ^( t3 B, d* n
end
* c5 O# x/ r# U N, a" Kif min>1
min=1;
1 c2 q- Z H/ A1 Z5 H+ o0 N+ w9 R4 hend
) h, b2 J- L' q$ Z& d
end STEPdaf=0.9995*min;
, b9 |2 ~9 R+ n% ^1 e% y0 ?%¼ÆËã·ÂÉäÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd END!!!!!
6 Z6 W) \8 ]. k+ B1 N
3 i7 f, I" u! {" D) u2 t2 k%¼ÆËã·ÂÉä¶ÔżÒòÊý¼°³Í·£Òò×Ó%
ROUaf=(sl+STEPpaf*delslaf)'*(MU_MIN+STEPdaf*delMU_MINaf)+(su+STEPpaf*delsuaf)'*(MU_MAX+STEPdaf*delMU_MAXaf); ; ]; p. I; c2 ?7 ^- j
if (ROUaf/ROU)^2<0.2 SIGMA=(ROUaf/ROU)^2; * X" y+ A& S3 s" H' g2 g: D
else SIGMA=0.2; 7 S; ]; i/ M7 E' P9 W _* _% _
end MUaf=SIGMA*ROUaf/(2*length(sl)); * U3 ]; O+ o! X
%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; ! ?0 p7 R, x& h3 T6 f
%Calculate Newton Iteration ÐÞÕýÁ¿ ' a; }" i6 a+ O/ H
%1st Step: УÕýÐÞÕýÁ¿delX,ÐÞÕýÁ¿delLam
( U' g4 X& q# Y/ E6 u t( `%S1:H
temp=0; %֮ǰÒÑÓùýÁÙʱ±äÁ¿temp£¬ÔÚ´ËÇåÁã
1 ]3 ?# w3 R" d$ u9 `for i=1:60
temp=temp+Lam(i)*Hh(:,:,i); : c# G; H/ y5 J, r( d$ l& c
end tempgMUg1=0; tempgMUg1=Jg*diag(MU_MIN)*Jg';
2 l$ |! W! J( x: F& Z6 r+ U1 |2 cfor i=1:42
tempgMUg1(i,:)=tempgMUg1(i,:)/sl(i); 2 c K! Q- w5 \
end tempgMUg2=0; tempgMUg2=Jg*diag(MU_MAX)*Jg';
% M. v/ U& \4 s2 `for i=1:42
tempgMUg2(i,:)=tempgMUg2(i,:)/su(i);
0 ~7 a/ e- g; g' a8 tend
H=Hf-temp+tempgMUg1+tempgMUg2; 8 F) S' c% S& r! B4 A
%S2:УÕýKESA tempgMUg1=0; tempgMUg1=Lsl0+diag(MU_MIN)*LMU_MIN0+diag(delslaf)*delMU_MINaf; , b$ V5 J* [7 m# e
for i=1:42 tempgMUg1(i)=tempgMUg1(i)/sl(i);
O9 a/ t) T4 P* o' vend
tempgMUg1=Jg*tempgMUg1; tempgMUg2=0; tempgMUg2=Lsu0-diag(MU_MAX)*LMU_MAX0+diag(delsuaf)*delMU_MAXaf; & B; a* U4 [3 t$ [
for i=1:42 tempgMUg2(i)=tempgMUg2(i)/su(i); / |4 V- L* J6 M
end tempgMUg2=Jg*tempgMUg2; KESA=LX0+tempgMUg1-tempgMUg2; ! J; P$ _+ V; W7 N F
%S3:JACOBIAN JACOBIAN=[H -Jh;Jh' zeros(60)]; * f: K9 G1 ?7 \, G6 \
%S4£ºRESULT RESULT=-[KESA;LLam0]; 8 X" Q7 c& p# F% \ G
%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 $ r" m7 ]) i) {5 L7 L5 y# Q
" P: N: E7 }$ M* w%2nd Step: УÕýËɳڱäÁ¿ÐÞÕýÁ¿delsl, delsu
. R) M. d! v/ t: i8 W%S1: delsl
delsl=Jg'*delX+LMU_MIN0; - F! w8 B% L5 I9 R1 ]+ a
%S2: delsu delsu=-Jg'*delX-LMU_MAX0; # ?" M& P, F; t
! d. N8 k) ^ |( T
%3rd Step: УÕýÀ ¸ñÀÊÈÕ³Ë×ÓÐÞÕýÁ¿delMU_MIN,delMU_MAX
U6 J1 h1 b$ m3 K# v3 R6 \%S1: delMU_MIN
temp=0; temp=-diag(MU_MIN)*sl+MUt*ones(42,1)-diag(delMU_MINaf)*delslaf-diag(MU_MIN)*delslaf;
* t7 ~) e. [% Wfor i=1:42
temp(i)=temp(i)/sl(i);
/ ^. a4 K# h: O( Y0 P. nend
temp(13)=0; delMU_MIN=temp; $ e) M9 r: }5 `- R! _
%S2: delMU_MAX temp=0; temp=-diag(MU_MAX)*su+MUt*ones(42,1)-diag(delMU_MAXaf)*delsuaf-diag(MU_MAX)*delsuaf;
* ?# @" l% z. ?4 Tfor i=1:42
temp(i)=temp(i)/su(i);
' P+ J3 }) i! ?' @' f) zend
temp(13)=0; delMU_MAX=temp;
1 w4 k2 C2 `+ g- t
: H5 o4 y0 g9 y& c* A2 W%Calculate Newton Iteration ÐÞÕýÁ¿ END!!!!!!!!!!!!!!
7 i b" F' ?. v4 U1 O
%%
* b6 q+ S2 q) k1 W& O+ @7 C%¼ÆËãУÕýÔ Ê¼²½³¤ºÍ¶Ôż²½³¤ STEPp£¬ STEPd
5 D2 y S6 {4 e# ~5 ^- ]0 D) b4 i%S1: STEPp
6 D+ `1 ]% ]. R' K- \2 Y
for i=1:42 * Q4 N) t3 \4 [: ]
if (delslaf(i)~=0) temp1=-sl(i)/delsl(i); % ~& W! E3 r& u, x
else temp1=Inf; 5 _1 v1 K+ E# B3 B# j7 L) P
end - Q" g8 _6 V) v9 ~
if (delsuaf(i)~=0) temp2=-su(i)/delsu(i);
3 T2 C1 S8 H' I7 s/ D9 ?4 }- ~else
temp2=Inf; ; `7 ^5 x$ L: m; O' S- y/ L
end
1 \1 x7 @! K5 Z5 X/ Rif temp1<temp2
min=temp1;
. |4 [" Y6 N% L& E( Welse
min=temp2;
* b+ L6 g+ {8 n( w) zend
+ ]) j, ~0 q' p
if min>1 min=1; 7 o& E0 h b k8 ~4 c' O
end
9 d& \7 V# \& c, X2 Z. F; Y8 O5 Hend
STEPp=0.9995*min; # [2 u$ X ^; _% O
%S2: STEPd + e6 m3 v; b' ]- M
for i=1:42 temp1=-MU_MIN(i)/delMU_MIN(i); temp2=-MU_MAX(i)/delMU_MAX(i); $ D" G6 b) R' ^. ^) ]+ |6 ?
if temp1<temp2 min=temp1;
8 R; p4 F1 K! ], h$ Lelse
min=temp2;
. N' K9 j. F$ i3 wend
1 A: K- I6 \2 v# T+ S# ~if (i==13)
min=0;
8 B M$ g' n* F1 Fend
4 G3 N6 |- b" i/ ^$ J: O {# t
if min>1 min=1; & w, Q" D& r, t0 j+ i7 c
end 3 g+ Y; W; J$ C- t0 |9 A, q' R
end STEPd=0.9995*min;
/ x' b2 c8 I! l0 s6 e- ~& n%¸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); / p5 E0 U1 n$ Q# j5 e; s
%¸üÐÂÔ Ê¼±äÁ¿ºÍ¶Ôż±äÁ¿ END!!!
/ f- H& q; x) j8 G: k' m
# B( ^9 c) f4 R2 P9 [
%¼ÆËã¶Ôż¼ä϶% ROU=sl'*MU_MIN+su'*MU_MAX; MUt=SIGMA*ROU/(2*length(sl)); : W% c0 ]0 r" k' m4 w
%% 7 a0 t2 c3 X9 Q) h! e
%ÅжÏÊÇ·ñ³¬¹ýµü´ú´ÎÊý ik=ik+1;
8 p, R: ^6 _* b* {4 e* V3 M' uif ik>IterNumMAX
disp('IterNum ERROR!!!!!');
! ^: G* L/ L9 H7 z. @. p3 N1 Qbreak;
9 {- ` i; {+ I# xend
& l: F$ ^. `. u3 h+ j
end et = etime(clock, t1); %% %Êä³ö²¿·Ö
; H2 O$ a0 r+ |. f$ R
if (ik<=IterNumMAX) * I8 T0 ?( d1 y l7 p1 c6 u8 J
%% . K E* q1 a5 {% J" k! T' b6 M5 b
%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
, {$ B" c+ j: j) D; Q$ L! N7 e
max=-10;min=10; for i=1:ik temp=LLam0(i);
% B9 Y3 y0 c4 h; Aif (temp>max) max=temp;
8 Q( E( O# _6 d f9 L* t
end 7 ^' y( w) m# s1 n. h
if (temp<min) min=temp; $ q! k7 \# p; S
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(' ------- -------'); & V/ f! C+ J/ K) K6 Q7 e
for i = 1:30 fprintf('\n%5d%7.3f%9.3f', i,X(i+12),X(i+42)*180/pi); 6 O. z" ~8 }3 D8 d9 [/ f
if (i<=6) fprintf('%10.2f%10.2f', X(i)*baseMVA, X(i+6)*baseMVA); 2 ?! U' _# K& z' c
else fprintf(' - - '); 4 S1 \) q+ @. u! F3 A" \! ~
end fprintf('%10.2f %9.2f', bus(i, 3) , bus(i, 4) ); fprintf('%9.3f %9.3f', Lam(i),Lam(i+30)); * q3 r4 R" |) g- u: U) ^4 k6 m
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; c( \$ }4 O+ Kend
, o# n& Q" B0 [6 a$ p* iend
9 U" o# \1 G' r: D2 [
%% %%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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