why matlab unable to solve these equations (program)

조회 수: 1 (최근 30일)
Dr. Siva Malla
Dr. Siva Malla 2012년 12월 21일
I wrote a program to solve 3 variables from 3 equations. For that I used syms command. but unfortunately I got the answers are empty. means matlab doesn't solve these 3 equations. I run this program in matlab 2008a. So please help me to solve these equations, or please suggest alternate command to solve this program: here I posted my program, please give a solution for my problem.
Program:
clc
clear all
g=4;
L=0.5*1e-4;
a=0.12*1e-4;
W=200*1e-4;
q=1.6*1e-19;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
NT1=3.8*1e15;
NT2=2*1e13;
NT3=2.6*1e15;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
CCp1=3*1e-14
CCn1=2*1e-14
CCp2=1*1e-15
CCn2=2.4*1e-15
CCp3=1*1e-15
CCn3=5*1e-15
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Eg=3.2*q;
Ef=2.268*q;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Et1=Eg-0.67*q;
Et2=Eg-1.65*q;
Et3=Eg-0.93*q;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Ev=0;
Es=85.845*1e-14;
K=8.62*1e-5;
T=300;
KTev=K*T;
KT=0.0259*q;
m0=9.1*1e-31;
mp=0.77*m0;
Vpth=(3*KT/mp)^0.5;
mn=0.351*m0;
Vnth=(3*KT/mn)^0.5;
mc=0.76*m0;
mv=1.2*m0;
h=6.626*1e-34;
Nc=2*((2*pi*mc*KT/h^2)^1.5)*1e-6;
Nv=2*((2*pi*mv*KT/h^2)^1.5)*1e-6;
Nd=8*1e17;
Nref=2*1e17;
Umin=40;
Umax=950;
r=0.76;
vsat=2.07*1e7;
y=(Eg/(2*KT));
ni=((Nc*Nv)^0.5)*exp(-y);
Vbi=1.3-((KT/q)*log(Nc/Nd))
U0= Umin + ((Umax - Umin)/(1+ ((Nd/Nref)^r)));
d1=0.98
Ec=(vsat/U0)*(d1/(1-d1));
Nsam=3*1e15;
Nsdp=5*1e15;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Ep1=CCp1*Vpth*Nv*exp(-((Et1-Ev)/KT))
En1=CCn1*Vnth*Nc*exp(-((Eg-Et1)/KT))
Ep2=CCp2*Vpth*Nv*exp(-((Et2-Ev)/KT))
En2=CCn2*Vnth*Nc*exp(-((Eg-Et2)/KT))
Ep3=CCp3*Vpth*Nv*exp(-((Et3-Ev)/KT))
En3=CCn3*Vnth*Nc*exp(-((Eg-Et3)/KT))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
NT1mnoneql=NT1*(Ep1/(Ep1+En1))
NT1meql=NT1/(1+((1/g)*exp((Et1-Ef)/KT)))
NT2mnoneql=NT2*(En2/(En2+Ep2))
NT2meql=NT2/(1+((1/g)*exp((Et2-Ef)/KT)))
NT3mnoneql=NT3*(En3/(Ep3+En3))
NT3meql=NT3/(1+((1/g)*exp((Et3-Ef)/KT)))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
N1subm=NT1mnoneql-NT1meql;
N2subm=NT2mnoneql-NT2meql;
N3subm=NT3mnoneql-NT3meql;
Nsubm=(N1subm+N2subm+N3subm)
Ubi=(KT/q)* log((Nd/Nsubm))
Ndepp=Nd-Nsam+Nsdp+(NT1*(En1/(Ep1+En1)))+(NT2*(En2/(Ep2+En2)))+(NT1*(En3/(Ep3+En3)))
k11=((Nsubm/(Nsubm+Ndepp)))^0.5
Vp=(q*Ndepp*a^2)/(2*Es)
k1=q*(Nd-Nsubm)*vsat*W*a*d1;
Z=(q*Ndepp*a^2*U0)/(2*Es*L*vsat);
VG=-2;
Rs=47.03;
VD=0:1:10;
for i=1:11
syms VDsat ID L1
Rd2(i)=50;
hL1=((Vbi-VG+VDsat-ID*Rd2(i))/Vp)^0.5;
Y1=q*W*U0*vsat*(Nd-Nsubm)/(vsat*L1+U0*(VDsat-ID*(Rd2(i)+Rs)));
hs=((Vbi-VG+ID*Rs)/Vp)^0.5
h1L1=((Ubi+VDsat-ID*Rd2(i))/Vp)^0.5
h1s=((Ubi+ID*Rs)/Vp)^0.5;
eq1=VD(i)-VDsat-2*hL1*Ec*a/pi*sinh(pi*(L-L1)/(2*hL1*a));
eq2=ID-Y1*a*Vp*(((VDsat-ID*Rd2(i)-ID*Rs)/Vp)-2/3*(hL1^3-hs^3)-2/3*k11*(h1L1^3-h1s^3));
eq3=ID-q*(Nd-Nsubm)*W*d1*vsat*a*(1-hL1-k11*h1L1);
[ID, L1, VDsat]=solve(eq1, eq2, eq3,ID, L1, VDsat)
end

답변 (0개)

카테고리

Help CenterFile Exchange에서 Numeric Solvers에 대해 자세히 알아보기

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by