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

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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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

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