The bus admittance matrix for the power system shown in Figure 1 is given by 3-j9 −2+j6 -1+j3 0 Ybus - -2+j6 3.666-j11 -0.666+j2 −1+j3 -1+j3 -0.666+j2 3.666-j11 per unit −2+j6 0 -1+j3 −2+j6 3-j9 With the complex powers on load buses 2, 3, and 4 as shown in Figure 1. 2.1 Determine the value for V₂ that is produced by the first and second iterations of the Gauss Seidel procedure. Choose the initial guess V2(0) = V3(0) = V4(0) = 1.0L0° per unit. (12) 2 V₁ = 1.04/0° P₁ + jQ₁ −1+j0.5 Figure 1 V₂ 0.5-10.2 0.3j0.1
The bus admittance matrix for the power system shown in Figure 1 is given by 3-j9 −2+j6 -1+j3 0 Ybus - -2+j6 3.666-j11 -0.666+j2 −1+j3 -1+j3 -0.666+j2 3.666-j11 per unit −2+j6 0 -1+j3 −2+j6 3-j9 With the complex powers on load buses 2, 3, and 4 as shown in Figure 1. 2.1 Determine the value for V₂ that is produced by the first and second iterations of the Gauss Seidel procedure. Choose the initial guess V2(0) = V3(0) = V4(0) = 1.0L0° per unit. (12) 2 V₁ = 1.04/0° P₁ + jQ₁ −1+j0.5 Figure 1 V₂ 0.5-10.2 0.3j0.1
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
Chapter7: Symmetrical Faults
Section: Chapter Questions
Problem 7.22P
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Question
![The bus admittance matrix for the power system shown in Figure 1 is given by
3-j9 −2+j6
-1+j3
0
Ybus -
-2+j6 3.666-j11 -0.666+j2 −1+j3
-1+j3 -0.666+j2 3.666-j11
per unit
−2+j6
0
-1+j3 −2+j6
3-j9
With the complex powers on load buses 2, 3, and 4 as shown in Figure 1.
2.1 Determine the value for V₂ that is produced by the first and second iterations of the
Gauss Seidel procedure. Choose the initial guess V₂(0) = V3(0) = V4(0) = 1.0L0° per unit.
(12)
2
V₁ = 1.04/0°
P₁ + jQ₁
−1+j0.5
Figure 1
V₂
0.5-10.2
0.3j0.1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc9ac866-119d-48d2-a530-f89df328e416%2Fc691e24f-1277-4e3b-adee-dabf75d613de%2Fbyu8xl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The bus admittance matrix for the power system shown in Figure 1 is given by
3-j9 −2+j6
-1+j3
0
Ybus -
-2+j6 3.666-j11 -0.666+j2 −1+j3
-1+j3 -0.666+j2 3.666-j11
per unit
−2+j6
0
-1+j3 −2+j6
3-j9
With the complex powers on load buses 2, 3, and 4 as shown in Figure 1.
2.1 Determine the value for V₂ that is produced by the first and second iterations of the
Gauss Seidel procedure. Choose the initial guess V₂(0) = V3(0) = V4(0) = 1.0L0° per unit.
(12)
2
V₁ = 1.04/0°
P₁ + jQ₁
−1+j0.5
Figure 1
V₂
0.5-10.2
0.3j0.1
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