Modified nodal analysis with Voltage Controlled Voltage Source

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SUMMARY

The discussion focuses on the implementation of Modified Nodal Analysis (MNA) when incorporating Voltage Controlled Voltage Sources (VCVS) and Voltage Controlled Current Sources (VCCS) into circuit matrices. The user seeks clarification on how to adjust the admittance matrix (Y) when adding these components. For VCVS, an additional equation relating the voltage drop and node voltages is required, along with modifications to the matrix structure. Similarly, for VCCS, an additional equation relating node voltages to the control parameter must be included.

PREREQUISITES
  • Understanding of Modified Nodal Analysis (MNA)
  • Familiarity with circuit matrices and admittance (Y) matrix
  • Knowledge of Voltage Controlled Voltage Sources (VCVS)
  • Knowledge of Voltage Controlled Current Sources (VCCS)
NEXT STEPS
  • Study the derivation of the admittance matrix for circuits with VCVS
  • Learn how to incorporate VCCS into MNA equations
  • Explore examples of MNA with mixed sources in circuit analysis
  • Review lecture notes on control parameters in voltage and current sources
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in advanced circuit analysis using Modified Nodal Analysis.

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hi, i got a question about mna. i know how to write matrixes with(out) voltage source but i don't know what i should do when my instructor askes me placing vcvs or vccs instead of any resistor. i have lecture notes for vcvs ust like;

Vpq=u(mu)*Vkl

i should add extra rows and cols. to matrix of Y (or G, i don't know how you call it) but how?

by the way, i also want to know a way of doing same thing to voltage controlled current source.
 
Last edited:
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For voltage/current controlled voltage source, just write down an additional equation relating the voltage drop in the voltage source and node voltages, plus another additional equation relating the node voltages and the control parameter.

For a current source, you only need to write down another additional equation relating the node voltages and the control parameter.
 

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