Given: R1, R2, R3, 1, y. Use nodal analysis to set up equations for node 1 and node 2 respectively in the form avy + buz = 1, cer + doz = y. The node voltage of node 1 is denoted by vị and the node voltage of node 2 is denoted by Calculate the unknown coefficients a, b, c and d. 4 V R2 +1 R1 R3 2.

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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Given R1=10 ohm   ;  R2 = 15 ohm  ;  R3=10 ohm  ;  x=40 ;  y=790

Given: R1, R2, R3, 1, y.
Use nodal analysis to set up equations for node 1 and node 2 respectively in the form
av + buz = r,
cvi + dvz = y.
The node voltage of node 1 is denoted by vị and the node voltage of node 2 is denoted by v2.
Calculate the unknown coefficients a, b, c and d.
4 V
R2
2
R1
5 A
Transcribed Image Text:Given: R1, R2, R3, 1, y. Use nodal analysis to set up equations for node 1 and node 2 respectively in the form av + buz = r, cvi + dvz = y. The node voltage of node 1 is denoted by vị and the node voltage of node 2 is denoted by v2. Calculate the unknown coefficients a, b, c and d. 4 V R2 2 R1 5 A
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