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°.

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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.38P
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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
Transcribed Image Text: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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