Solving Dependent Sources in Admittance Matrix

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Discussion Overview

The discussion revolves around solving for the admittance matrix and current-voltage vector in circuits that include dependent sources. Participants explore methods for incorporating these dependent sources into their calculations, particularly in the context of node equations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant seeks guidance on how to handle dependent sources when finding the admittance matrix, questioning whether to convert dependent voltage sources into current sources with parallel resistors.
  • Another participant suggests writing node equations using the dependent sources directly and creating separate equations for the dependent sources to extract the admittance matrix.
  • There is a discussion about the representation of voltage Vx, with one participant asserting that Vx is the difference between e2 and e3.
  • Participants discuss the relationship between current through a resistor Ry and the voltage Vy, with one proposing that the current is proportional to Vx and expressing Vy in terms of Vx and Ry.

Areas of Agreement / Disagreement

Participants appear to agree on the representation of Vx as e2 - e3 and the relationship between current and voltage in the context of dependent sources. However, the method for incorporating dependent sources into the admittance matrix calculation remains a point of exploration without a definitive consensus.

Contextual Notes

Participants have not fully resolved the approach to handling dependent sources in the admittance matrix, and there may be assumptions regarding the definitions and relationships between variables that are not explicitly stated.

Who May Find This Useful

Students and practitioners working on circuit analysis involving dependent sources, particularly in the context of admittance matrices and node voltage methods.

erezb84
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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.
 

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erezb84 said:

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, [itex]V_x = \frac{e_3 - e_2}{R_x}[/itex]) that you can substitute in, then you should be able to extract the admittance matrix from the resulting equations.
 
thanks,
BTW, how can i represent Vy?...

i think Vx is just e2-e3, no?
 
erezb84 said:
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 :approve:
 
oh..
the currnt is alpha*Vx, so the volage Vy= alpha*Vx*Ry?
 
erezb84 said:
oh..
the currnt is alpha*Vx, so the volage Vy= alpha*Vx*Ry?

Yup.
 
great! thanks a lot!
 

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