I'm writing a circuit simulation program as an exercise adn I'm using the nodal method. I'm currently facing a problem with dependent sources though. Voltage-controlled current sources are fine, but the other three types of dependent sources pose some problems.
I do remember finding some transformations in a book that would convert any type to the voltage-controlled current source type but can't find them.
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| James E.Thompson, P.E. | mens |
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As you state, voltage-controlled current sources are straightforward to include in the nodal formulation. The source injects a current G(Va-vB) into node N and extracts the same current from node M. This means that you have to add a term -G·Va+G·Vb to the M-th KCL (*) equation and a term G·Va-G·Vb to the N-th KCL equation.
For a VCVS, you have to define an additional unknown Is, which is the current that flows through the voltage source. In the M-th KCL you have to add a term +Is and a -Is term to the N-th equation. Since you have added an unknown, you have to add an equation: V(M)-V(N)=mu(Va-Vb).
For a CCCS, you have to define two different nodes Vc and Vd between which the controlling current flows. You introduce an unknown Ix which has to be added in both equations. The additional equation you have to write is then Vc=Vd.
Finally the CCVS is a combination of both ideas, you have to add two additional unknowns and write two additional equations.
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