Can you please explain the steps on how to solve for equations lll, IV, and V to get the current values of I1, I2, I3

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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Can you please explain the steps on how to solve for equations lll, IV, and V to get the current values of I1, I2, I3

direction hence 1 2= i,
Node KCL
31₁ = 1₂ - I, (1)
3i₂= 13-1₁
1₁ +31₂-13 = 0
2
In close Joop @ K#KVL
(11)
41₂ +2 (1₂-1₂) + 10 (1₂-1) =0
-101, +1612210
In close large Joop / super mesh Joop KVL
-35 +10 (1₁-1₂)+2 (1-1₂) +813 = 0
10 I, -12 I ₂ +10I 3 =35 V
solve equation &
(V)
I₁ = 0.841346 A
1₂=1.0096 A
I₂ = 3.87019 A
From equation i = I₂ = 1,0096A
2
1. = 1.0096 A
Transcribed Image Text:direction hence 1 2= i, Node KCL 31₁ = 1₂ - I, (1) 3i₂= 13-1₁ 1₁ +31₂-13 = 0 2 In close Joop @ K#KVL (11) 41₂ +2 (1₂-1₂) + 10 (1₂-1) =0 -101, +1612210 In close large Joop / super mesh Joop KVL -35 +10 (1₁-1₂)+2 (1-1₂) +813 = 0 10 I, -12 I ₂ +10I 3 =35 V solve equation & (V) I₁ = 0.841346 A 1₂=1.0096 A I₂ = 3.87019 A From equation i = I₂ = 1,0096A 2 1. = 1.0096 A
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