I need help with this supernode problem. I do the KCL at the supernode, but then get two equations, and 3 variables. That confuses me. Also, is my equation for i-phi correct?

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
Chapter13: Transmission Lines: Transient Operation
Section: Chapter Questions
Problem 13.10P
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I need help with this supernode problem. I do the KCL at the supernode, but then get two equations, and 3 variables. That confuses me. Also, is my equation for i-phi correct?

Example 9: Determine is in the circuit shown in the left panel of Figure 17.
10 is
5Ω ,
V3
is
40N
Uz-4
50 V
50 N
100 N ( ↑)4A
RCL for
U, - Uz
SO =0
L,C.M²40
くu、-8u, t U, - 5O
qu, - 8u2
Equalon
KCL
for
He supemader
Uz-V,
(0ig -4 =0
50
100
Vz-V,
Va - Ui
Uz
-4=0
Uz - U,
10 Uz
-Y=0
50
100
L.C.M= l0
200 uz t 2a,
400=0
20 ve -20v, + Zuz t Us
-178ua + 1 80 + U3 = 400 Equalion e
Did I do
S Dan thing unong if I have
2 equaHons, but
three varia bles,
D,, Uz, tb Uz ? -I just did ore.
Is
My ig conut?
Transcribed Image Text:Example 9: Determine is in the circuit shown in the left panel of Figure 17. 10 is 5Ω , V3 is 40N Uz-4 50 V 50 N 100 N ( ↑)4A RCL for U, - Uz SO =0 L,C.M²40 くu、-8u, t U, - 5O qu, - 8u2 Equalon KCL for He supemader Uz-V, (0ig -4 =0 50 100 Vz-V, Va - Ui Uz -4=0 Uz - U, 10 Uz -Y=0 50 100 L.C.M= l0 200 uz t 2a, 400=0 20 ve -20v, + Zuz t Us -178ua + 1 80 + U3 = 400 Equalion e Did I do S Dan thing unong if I have 2 equaHons, but three varia bles, D,, Uz, tb Uz ? -I just did ore. Is My ig conut?
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