Solving Dependent Sources in Admittance Matrix

[erezb84]

Homework Statement

Hi,
i need to find the Admintace matrix and the current voltage vector.
i know how to do it if i have only non dependent sources.
but how should i work with the dependednt source?
s
should i take the dependent voltage source and turn it to current source with parallel resisotor?

thanks in advance.

 

[gneill]

Homework Statement

Hi,
i need to find the Admintace matrix and the current voltage vector.
i know how to do it if i have only non dependent sources.
but how should i work with the dependednt source?
s
should i take the dependent voltage source and turn it to current source with parallel resisotor?

thanks in advance.

I think if you just write the node equations using the dependent sources as-is, and then write separate equations for the dependent sources (for example, $V_x = \frac{e_3 - e_2}{R_x}$) that you can substitute in, then you should be able to extract the admittance matrix from the resulting equations.

 

[erezb84]

thanks,
BTW, how can i represent Vy?...

i think Vx is just e2-e3, no?

 

[gneill]

thanks,
BTW, how can i represent Vy?...

What is the current through Ry?

i think Vx is just e2-e3, no?

Why, yes it is. Well spotted

 

[erezb84]

oh..
the currnt is alpha*Vx, so the volage Vy= alpha*Vx*Ry?

 

[gneill]

oh..
the currnt is alpha*Vx, so the volage Vy= alpha*Vx*Ry?

Yup.

 

[erezb84]

great! thanks a lot!