Hello!
I am trying to extract a system of equations that describes the dynamic behavior of the following circuit:
The model for the MOSFET is iGs=iDg=0 and iDS=gnl (Vg,Vd,Vs) in which a gnl is an unknown nonlinear function.
I am going to use KCL to write the equations of the circuit.
I am not sure about the equations I have written and I having a little difficulty in writing the system of equations that model the circuit. Can anyone give me a help in just marking the currents and identifying the nodes of circuit i should consider?
By the way how many state variables has the circuit? I would say 3 which correspond to the voltage levels in the nodes V1,V2 and V3 but I am not sure...
[tex]
Equation Node V1:
iC1 + iR1 + iR2iM=0
C1*d((Vi/Rth))V1)/(dt)+(Vdd)/(R1)+(0V1)/R2iM=0
Equation Node V2:
iRD+iC2+iDS=0
(Vdd)/(Rd)+ C2*d((Vo/Rl))V2)/(dt)+iDS=0
Equation Node V3:
iRS+iCS=iDS
V3/Rs+ Cs*d(0))V3)/(dt)=iDS
[/tex]
Are these equations correct? Are there anymores nodes i should have consider?
Thanks
I am trying to extract a system of equations that describes the dynamic behavior of the following circuit:
The model for the MOSFET is iGs=iDg=0 and iDS=gnl (Vg,Vd,Vs) in which a gnl is an unknown nonlinear function.
I am going to use KCL to write the equations of the circuit.
I am not sure about the equations I have written and I having a little difficulty in writing the system of equations that model the circuit. Can anyone give me a help in just marking the currents and identifying the nodes of circuit i should consider?
By the way how many state variables has the circuit? I would say 3 which correspond to the voltage levels in the nodes V1,V2 and V3 but I am not sure...
[tex]
Equation Node V1:
iC1 + iR1 + iR2iM=0
C1*d((Vi/Rth))V1)/(dt)+(Vdd)/(R1)+(0V1)/R2iM=0
Equation Node V2:
iRD+iC2+iDS=0
(Vdd)/(Rd)+ C2*d((Vo/Rl))V2)/(dt)+iDS=0
Equation Node V3:
iRS+iCS=iDS
V3/Rs+ Cs*d(0))V3)/(dt)=iDS
[/tex]
Are these equations correct? Are there anymores nodes i should have consider?
Thanks
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