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СµÜÔÚÓÃmatlabÓÅ»¯²ÎÊýµÄʱºòÓöµ½ÁËÒ»¸öÎÊÌ⣬ÎÒÓõÄÊÇfminconº¯Êý£¬µ«ÊÇÒòΪѡ²»µ½ºÏÊʵijõÖµËùÒԵõ½µÄ½á¹û²»ÊǺÜÂúÒ⣬ËùÒÔÏë×ÅÓÃÈ«¾ÖÓÅ»¯µÄËã·¨À´ÊÔһϣ¬Äκβ»Ì«»á£¬Ï£ÍûÂÛ̳ÀïµÄ´óÀÐÃÇ¿´Ò»ÏÂÄܲ»Äܽâ¾öÕâ¸öÎÊÌâ¡£ÎÒÖ±½Ó°Ñ³ÌÐò¸´ÖƵ½ÏÂÃæÁË![]() clear all clc data=[288.05 0.000257 0.3003 293.05 0.000274 0.3003 298.2 0.000281 0.3003 303.25 0.000294 0.3003 308.15 0.000305 0.3003 313.25 0.000326 0.3003 318.2 0.000345 0.3003 323.15 0.00039 0.3003 288.05 0.000493 0.3995 293.05 0.00051 0.3995 298.2 0.000532 0.3995 303.25 0.000562 0.3995 308.15 0.00061 0.3995 313.25 0.000641 0.3995 318.2 0.000698 0.3995 323.15 0.000845 0.3995 288.05 0.000877 0.501 293.05 0.00092 0.501 298.2 0.00099 0.501 303.25 0.00115 0.501 308.15 0.00127 0.501 313.25 0.00139 0.501 318.2 0.00157 0.501 323.15 0.00189 0.501 288.05 0.0016 0.5998 293.05 0.00172 0.5998 298.2 0.00196 0.5998 303.25 0.00232 0.5998 308.15 0.00252 0.5998 313.25 0.00281 0.5998 318.2 0.0032 0.5998 323.15 0.00358 0.5998 288.05 0.00293 0.7009 293.05 0.00309 0.7009 298.2 0.00357 0.7009 303.25 0.00424 0.7009 308.15 0.00474 0.7009 313.25 0.00535 0.7009 318.2 0.00611 0.7009 323.15 0.00711 0.7009 288.05 0.0048 0.8003 293.05 0.00548 0.8003 298.2 0.00638 0.8003 303.25 0.0078 0.8003 308.15 0.00863 0.8003 313.25 0.00988 0.8003 318.2 0.0112 0.8003 323.15 0.0128 0.8003 288.05 0.0103 0.8999 293.05 0.0112 0.8999 298.2 0.0121 0.8999 303.25 0.014 0.8999 308.15 0.0152 0.8999 313.25 0.0173 0.8999 318.2 0.0193 0.8999 323.15 0.022 0.8999]; T=data(:,1); xexp=data(:,2); w=data(:,3); deltaH=46266;%ÈÛÈÚìÊ R=8.314; Tm=532.34;%ÈÛµã yexp=exp((deltaH./(R.*T)).*(T./Tm-1)-log(xexp)); n=size(T,1); k0=[-3125.70317518255,-2378.98766584565,5092.47952427953,-718.563001024490,-1495.43799248924,-1965.61341412590,0.899991420305235,0.100010845691102,0.219058309329965]; lb=[-inf -inf -inf -inf -inf -inf 0.1 0.1 0.1]; ub=[inf inf inf inf inf inf 0.9 0.9 0.9]; [k,fval,flag] = fmincon(@myfun,k0,[],[],[],[],lb,ub,[],[],xexp,yexp,T,w,n,R); display(fval); display(k); function f = myfun(k,xexp,yexp,T,w,n,R) %a12=k(1) %a21=k(2) %b12=k(3) %b21=k(4) %c12=k(5) %c21=k(6) %o=k(7) %p=k(8) %q=k(9) tao12=k(1)./(R*T); tao21=k(2)./(R*T); tao13=k(3)./(R*T); tao31=k(4)./(R*T); tao23=k(5)./(R*T); tao32=k(6)./(R*T); G12=exp(-k(7).*tao12); G21=exp(-k(7).*tao21); G23=exp(-k(8).*tao23); G32=exp(-k(8).*tao32); G13=exp(-k(9).*tao13); G31=exp(-k(9).*tao31); x2=(1-xexp).*w; x3=(1-xexp).*(1-w); temp1=x2.*G21+x3.*G32; temp2=tao21.*G21.*x2+tao31.*G31.*x3; temp3=(xexp+x2.*G21+x3.*G31).^2; temp4=tao12.*G12.*(x2.^2); temp5=G12.*G32.*x2.*x3.*(tao12-tao32); temp6=(x2+xexp.*G12+x3.*G32).^2; temp7=tao13.*G13.*(x3.^2); temp8=G13.*G23.*x2.*x3.*(tao13-tao23); temp9=(x3+x2.*G23+xexp.*G13).^2; lngamma1=((temp1.*temp2)./temp3)+((temp4+temp5)./temp6)+((temp7+temp8)./temp9); ycal=exp(lngamma1); f=100*sum(abs((yexp-ycal)./(yexp)))./n; end |
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