why matlab unable to solve these equations (program)
1 view (last 30 days)
Show older comments
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
0 Comments
Answers (0)
See Also
Categories
Find more on Special Values in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!