fsolve 已停止,因为当前步长的相对大小小于 步长容差的平方的值,但按照函数容差的值衡量, 函数值向量不接近于零。
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clc;clear;
syms x1 x2;
G=1e18;
k=1.38064852e-23;
h=6.62606896e-34;
pi=3.141592654;
e=1.6021892e-19;
m0=9.11e-31;
T=1000+273.15;
E0=3.507; a=9.09e-4; b=830;
Eg=E0-a*T^2/(b+T);
mc=0.2;
mv=1.5;
Ns=4.4e28;
vn=sqrt(3*k*T/mc/m0);
vp=sqrt(3*k*T/mv/m0);
cn1=1e-15*vn;cp1=1e-18*vp;
cn3=5e-19;cp3=5e-23;
cn2=1e-18*vn;cp2=1e-15*vp;
BB=1e-15;
CAugn=1e-31;CAugp=1e-31;
Nv = 2 *(2 * pi * mv * m0 * k * T)^1.5/(h^3);
Nc = 2 * (2 * pi * mc * m0 * k * T)^1.5/(h^3);
ni2=Nc.*Nv.*exp(-Eg.*e./k./T);
dE=x1-x2;
w=1/(1+exp(-dE*e/k/T));
n=Nc.*(w*exp((x1-Eg).*e./k./T)+(1-w)*exp((x2-Eg).*e./k./T));
p=Nv.*(w*exp(-x2.*e./k./T)+(1-w)*exp(-x1.*e./k./T));
EfD=w.*x1+(1-w).*x2;
EfA=w.*x2+(1-w).*x1;
MgEt=0.26;
Mg0=1*Ns*exp(-1.875*e/k/T);
Mg1=1*Ns.*exp(-(2.132-EfA).*e./k./T);
VNEt31=0.48;VNEt10=3.31;
VN0=1*Ns*exp(-3.486*e/k/T);
VN1=1*Ns.*exp(-(0.178+EfD).*e./k./T);
VN3=1*Ns.*exp(-(-0.781+3*EfD).*e./k./T);
UBB=BB*(n.*p-ni2);
UAug=(CAugn*n+CAugp*p).*(n.*p-ni2);
USMg1=Mg1.*(n.*p-ni2)./((1/(cp2.*vp)).*(n+Nc.*exp((MgEt-Eg).*e./k./T))+(1/(cn2.*vn)).*(p+Nv.*exp(-MgEt.*e./k./T)));
USVN1=VN1.*(n.*p-ni2)./((1/(cp1.*vp)).*(n+Nc.*exp((VNEt10-Eg).*e./k./T))+(1/(cn1.*vn)).*(p+Nv.*exp(-VNEt10.*e./k./T)));
USVN3=VN3.*(n.*p-ni2)./((1/(cp3.*vp)).*(n+Nc.*exp((VNEt31-Eg).*e./k./T))+(1/(cn3.*vn)).*(p+Nv.*exp(-VNEt31.*e./k./T)));
f1(x1,x2)=p+3*VN3+VN1-Mg1-n;
f2(x1,x2)=G-UBB-UAug-USMg1-USVN1-USVN3;
f=[f1 f2];
func = matlabFunction(f, 'Vars',{[x1, x2]});
[x,fval]= fsolve(func,[0.75,1.4])
对于这段代码最后的输出是找不到解,fsolve 已停止,因为当前步长的相对大小小于 步长容差的平方的值,但按照函数容差的值衡量, 函数值向量不接近于零。要如何优化得到数值解
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