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Solved Problems-12

For the network shown in the figure, give fundamental cutset matrix and hence find KCL equations.
Description: 2900.png
The graph and one tree are shown for the network.
The fundamental cutsets are identified as
f-cutset-1: [1, 2]
f-cutset-2: [2, 3, 4]
Description: 2907.png
The fundamental cutset matrix is given as,
The KCL equations in terms of the cutset matrix is given as,
[Q][Yb][QT][Vt] = –[Q][IS]
Description: 5349.png
Description: 5360.png
Thus, the KCL equations are
Description: 5366.png


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