The Figure below shows the impedance diagram for a 3-bus system. Using the Gauss- Seidel method, perform 2 iterations to obtain the voltage magnitude and angles at buses 2 and 3. Impedances are given on 100 MVA base. For the first iteration assume V₂[0] = 1.00 0° and V3[0] = 1.03 < 0°.

The Figure below shows the impedance diagram for a 3-bus system. Using the Gauss- Seidel method, perform 2 iterations to obtain the voltage magnitude and angles at buses 2 and 3. Impedances are given on 100 MVA base. For the first iteration assume V₂[0] = 1.00 0° and V3[0] = 1.03 < 0°.

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

2. The Figure below shows the impedance diagram for a 3-bus system. Using the Gauss-
Seidel method, perform 2 iterations to obtain the voltage magnitude and angles at buses 2
and 3. Impedances are given on 100 MVA base. For the first iteration assume
V₂[0] = 1.00 ≤ 0° and V3[0] = 1.03 < 0º.
Ğ
1
Slack bus
1.02L 0°
PV Bus
|V3|=1.03
P3=150MW
Line 13
13-0.0059+j0.0235 pu
Line 12
Z12=0.02 +
j0.06 pu
Line 23
223 0.0055
+j0.0183 pu
Load bus
200MW + 50MVAR
↓
3

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Step 1: Given

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Step 2: pu parameters and power at load bus calculations

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Step 3: Y bus elements

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Step 4: First iteration, voltage and angle at bus 2

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Step 5: First iteration, voltage and angle at bus 3

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Step 6: Second iteration, voltage and angle at bus 2

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Step 7: Second iteration, voltage and angle at bus 3

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