The vector / are the currents pushed (ent c) nodes by the current sources. R2 V2 R1 R3

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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2. Use node-voltage method (by explicitly applying KCL) to analyze the circuit below
and find the matrix form GV=I. Prove that:
a) The diagonal elements of G are equal to the sums of the conductances
connected to the corresponding node.
b) The off diagonal term, gjk, equals to the negative of the conductance
connected between node jand k.
c) The vector / are the currents pushed (entering) into the corresponding
nodes by the current sources.
R2
V2
R1
R3
Transcribed Image Text:2. Use node-voltage method (by explicitly applying KCL) to analyze the circuit below and find the matrix form GV=I. Prove that: a) The diagonal elements of G are equal to the sums of the conductances connected to the corresponding node. b) The off diagonal term, gjk, equals to the negative of the conductance connected between node jand k. c) The vector / are the currents pushed (entering) into the corresponding nodes by the current sources. R2 V2 R1 R3
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