Modified nodal analysis with Voltage Controlled Voltage Source

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Modified nodal analysis (MNA) requires adjustments when incorporating voltage-controlled voltage sources (VCVS) and voltage-controlled current sources (VCCS) into the matrix. For VCVS, additional rows and columns must be added to the admittance matrix (Y) to account for the relationship between the control voltage and node voltages. Similarly, for VCCS, an extra equation is needed that connects the node voltages to the control parameter. The process involves writing equations that define the interactions between the sources and the circuit nodes. Understanding these modifications is crucial for accurately modeling circuits with dependent sources.
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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.
 
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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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