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[ÇóÖú] ÓÃ1stOpt½â³ö·ÇÏßÐÔ·½³Ì×éµÄ½â×÷Ϊ³õÖµÓÃMatlabÇó½â£¬½â²»³öÀ´ ÒÑÓÐ1È˲ÎÓë

ÓÃ1stOpt½â³ö·ÇÏßÐÔ·½³Ì×éµÄ½â×÷Ϊ³õÖµÓÃMatlabÇó½â£¬½â²»³öÀ´
ÕâÊÇÒ»¸ö·ÇÏßÐÔ·½³Ì×飨Matlab±íʾ£©£º
CODE:
function  f= solveMagneticDipoleEquation(x)
%UNTITLED Summary of this function goes here
%   Detailed explanation goes here
%ÒÑÖªÊý
a=-150;
b=150;
Bx=-48030;
By=29370;
Bz=-19077.3;
%δ֪Êý
Bt=x(1);
c=x(2);
m=x(3);
n=x(4);
p=x(5);
Rl=sqrt(a.^2+b.^2+c.^2);
f(1)=Bt*(3*(m*a+n*b+p*c)*a/Rl.^5-m/Rl.^3)/Bx-1;
f(2)=Bt*(3*(m*a+n*b+p*c)*b/Rl.^5-n/Rl.^3)/By-1;
f(3)=Bt*(3*(m*a+n*b+p*c)*c/Rl.^5-p/Rl.^3)/Bz-1;
f(4)=m.^2+n.^2+p.^2-1;
end

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CODE:
Parameters Bt[10^10,10^12];
Parameters c[160,200];
Parameters m[-0.55,0.54];
Parameters n[-0.52,0.54];
Parameters p[0.65,1];
Parameters Rl;
Constant a=-150;
Constant b=150;
Constant Bx=-48030; //Bx,By,BzÊDZä²ÎÊý£¬´ÓÎļþÖжÁ³öÒ»ÐÐÔÙ½âÒ»´Î·½³Ì£¬¶ÔÓÚÿһ×éBx,By,BzÐèÒªÇóÒ»´Î·½³Ì×é
Constant By=29370;
Constant Bz=-19077.3;
//BatchFileModel;
//VarConstant Bx="Sheet1[A1:A240]";
//VarConstant By="Sheet1[B1:B240]";
//VarConstant Bz="Sheet1[C1:C240]";
//DataFile "D:\Mag1230.xls[Sheet1[A1:A240]]";
//RowDataSet;
     //Bx="Sheet1[A1:A240]";
     //By="Sheet1[B1:B240]";
     //Bz="Sheet1[C1:C240]";
//EndRowDataSet;
Function Bt*(3*(m*a+n*b+p*c)*a/Rl^5-m/Rl^3)/Bx-1=0;
Bt*(3*(m*a+n*b+p*c)*b/Rl^5-n/Rl^3)/By-1=0;
Bt*(3*(m*a+n*b+p*c)*c/Rl^5-p/Rl^3)/Bz-1=0;
m^2+n^2+p^2-1=0;
Rl-sqrt(a^2+b^2+c^2)=0;

½á¹ûΪ£º
====== ½á¹û ======


µü´úÊý: 148
¼ÆËãÓÃʱ(ʱ:·Ö:Ãë:ºÁÃë): 00:00:00:482
¼ÆËãÖÐÖ¹Ô­Òò: ´ïµ½ÊÕÁ²Åж¨±ê×¼
ÓÅ»¯Ëã·¨: ×î´ó¼Ì³Ð·¨
º¯Êý±í´ïʽ 1: bt*(3*(m*(-150)+n*150+p*c)*(-150)/rl^5-m/rl^3)/(-48030)-1-(0)
         2: bt*(3*(m*(-150)+n*150+p*c)*150/rl^5-n/rl^3)/29370-1-(0)
         3: bt*(3*(m*(-150)+n*150+p*c)*c/rl^5-p/rl^3)/(-19077.3)-1-(0)
         4: m^2+n^2+p^2-1-(0)
         5: rl-sqrt((-150)^2+150^2+c^2)-(0)
Ä¿±êº¯ÊýÖµ: 0
Bt: 999812590445.556
c: 161.888089867363
m: 0.401079546362512
n: -0.0464426102549249
p: 0.914865171182263
Rl: 266.847809885904


====== ¼ÆËã½áÊø ======
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½á¹ûΪ£º
====== ½á¹û ======


µü´úÊý: 148
¼ÆËãÓÃʱ(ʱ:·Ö:Ãë:ºÁÃë): 00:00:00:482
¼ÆËãÖÐÖ¹Ô­Òò: ´ïµ½ÊÕÁ²Åж¨±ê×¼
ÓÅ»¯Ëã·¨: ×î´ó¼Ì³Ð·¨
º¯Êý±í´ïʽ 1: bt*(3*(m*(-150)+n*150+p*c)*(-150)/rl^5-m/rl^3)/(-48030)-1-(0)
         2: bt*(3*(m*(-150)+n*150+p*c)*150/rl^5-n/rl^3)/29370-1-(0)
         3: bt*(3*(m*(-150)+n*150+p*c)*c/rl^5-p/rl^3)/(-19077.3)-1-(0)
         4: m^2+n^2+p^2-1-(0)
         5: rl-sqrt((-150)^2+150^2+c^2)-(0)
Ä¿±êº¯ÊýÖµ: 0
Bt: 999812590445.556
c: 161.888089867363
m: 0.401079546362512
n: -0.0464426102549249
p: 0.914865171182263
Rl: 266.847809885904


====== ¼ÆËã½áÊø ======
µ±È»Ã¿´ÎÔËÐнá¹û¶¼»áÓе㲻ͬ£¬µ«´óÖ¶¼ÔÚÕâ¸ö·¶Î§ÄÚ¡£


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CODE:
x0=[999999999999 161.9 0.401 -0.0465 0.9148 266.856];
options=optimset('Display','iter','MaxFunEvals',10^5,'TolFun',1e-18,'TolX',1e-18,'MaxIter',1e4,'Algorithm','Levenberg-Marquardt');
[x val]= fsolve(@solveMagneticDipoleEquation,x0,options);

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  • ¸½¼þ 1 : Mag1230.xls
  • 2015-03-02 16:14:15, 21.5 K

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mjjackey: ½ð±Ò+5, ¡ï¡ï¡ïºÜÓаïÖú 2015-03-10 14:51:52
Ô­·½³Ì×éδ֪ÊýÖ®¼äµÄÊýÁ¿¼¶Ïà²î¹ý´ó£¬ÔÚ²»¶ÔÔ­·½³Ì½øÐд¦Àí£¨ÖîÈçÈ¡¶ÔÊý½µÊýÁ¿¼¶Ö®ÀࣩµÄÇé¿öÏ£¬Çó½âµÄ½á¹û²»Îȶ¨ÊÇÕý³£µÄ£¬¶øÇÒ´Ëʱ·½³ÌÓÃMALTABÇó½â±È½ÏÀ§ÄÑ£¬¾ÍÊdzõÖµÄÑÒÔѡȡ¡£½¨ÒéÓÃ1stoptÈí¼þÇó½â¼´¿É¡£
Â¥Ö÷±àдµÄ1stop´úÂëÂÔÈß³¤£¬ÒÑÐÞ¸ÄÈçÏ£º
CODE:
Constant a=-150, b=150, Bx=-48030, By=29370,Bz=-19077.3 ;
Parameters Bt[10^10,10^12],c[160,200],m[-0.55,0.54],n[-0.52,0.54],p[0.65,1]   ;

Function Bt*(3*(m*a+n*b+p*c)*a/(sqrt(a^2+b^2+c^2))^5-m/(sqrt(a^2+b^2+c^2))^3)/Bx-1=0;
Bt*(3*(m*a+n*b+p*c)*b/(sqrt(a^2+b^2+c^2))^5-n/(sqrt(a^2+b^2+c^2))^3)/By-1=0;
Bt*(3*(m*a+n*b+p*c)*c/(sqrt(a^2+b^2+c^2))^5-p/(sqrt(a^2+b^2+c^2))^3)/Bz-1=0;
m^2+n^2+p^2-1=0;

ÓüòÃæÌåÅÀɽ·¨Çó½â£¬Ð§¹ûÁ¼ºÃ£º

»¯Ëã·¨: ±ê×¼¼òÃæÌåÅÀɽ·¨ + ͨÓÃÈ«¾ÖÓÅ»¯·¨
º¯Êý±í´ïʽ 1: bt*(3*(m*(-150)+n*150+p*c)*(-150)/(sqrt((-150)^2+150^2+c^2))^5-m/(sqrt((-150)^2+150^2+c^2))^3)/(-48030)
            -1-(0)
         2: bt*(3*(m*(-150)+n*150+p*c)*150/(sqrt((-150)^2+150^2+c^2))^5-n/(sqrt((-150)^2+150^2+c^2))^3)/29370-1
            -(0)
         3: bt*(3*(m*(-150)+n*150+p*c)*c/(sqrt((-150)^2+150^2+c^2))^5-p/(sqrt((-150)^2+150^2+c^2))^3)/(-19077.3)
            -1-(0)
         4: m^2+n^2+p^2-1-(0)
Ä¿±êº¯ÊýÖµ: 0
bt: 988812416631.896
c: 160.516748048499
m: 0.396983954369934
n: -0.0417362655864018
p: 0.916876122552939


MATLAB´úÂ룺
CODE:
function solve_nonl_eqs
clear all;clc
format long

x0=[1e12 160 0.4 -0.04  0.9];
options=optimset('Display','iter','Algorithm','Levenberg-Marquardt','TolFun',1e-21,'TolX',1e-21);
[x fval]=fsolve(@objfun,x0,options')


function  f=objfun(x)

%ÒÑÖªÊý
a=-150;
b=150;
Bx=-48030;
By=29370;
Bz=-19077.3;
%δ֪Êý
Bt=x(1);
c=x(2);
m=x(3);
n=x(4);
p=x(5);
Rl=sqrt(a.^2+b.^2+c.^2);



f(1)=Bt*(3*(m*a+n*b+p*c)*a/Rl.^5-m/Rl.^3)/Bx-1;
f(2)=Bt*(3*(m*a+n*b+p*c)*b/Rl.^5-n/Rl.^3)/By-1;
f(3)=Bt*(3*(m*a+n*b+p*c)*c/Rl.^5-p/Rl.^3)/Bz-1;
f(4)=m.^2+n.^2+p.^2-1;

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mjjackey

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2Â¥: Originally posted by ÔÂÖ»À¶ at 2015-03-02 17:15:39
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BatchFileModel;
VarConstant Bx="Sheet1[A1:A240]";
VarConstant By="Sheet1[B1:B240]";
VarConstant Bz="Sheet1[C1:C240]";

RowDataSet;
     Bx="Sheet1[A1:A240]";
     By="Sheet1[B1:B240]";
     Bz="Sheet1[C1:C240]";
EndRowDataSet;

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3Â¥: Originally posted by mjjackey at 2015-03-03 11:11:16
ÎÒÒ²ÏëÍêÈ«ÓÃ1stopt£¬¹Ø¼üÊÇÎÒ²»Ö¹Òª½â³ö·½³Ì×éµÄ½â£¬»¹Òª£º¡°Òª¼ÌÐøÒ»²½×÷·ÖÎö£¬Bx£¬ By£¬ BzÊDzâÊÔÊý¾Ý£¬Òª´Ó±í¸ñÖжÁ³öµÄ£¬¶ÔӦÿһ×éÊý¾ÝÇóÒ»´Î·½³Ì×飬Ï൱Óڱ䳣Á¿£¬°´ÕÕÉÏÃæ×¢ÊÍÖвÉÓõÄÁ½ÖÖ·½·¨£¬¶¼Ã»Óдï ...

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mjjackey

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ÒýÓûØÌû:
4Â¥: Originally posted by ÔÂÖ»À¶ at 2015-03-03 11:13:29
1stoptÈí¼þ¼°Æä½Ì³Ì£º
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