A simple four-bus system gives the line admittances identified by the buses on which these terminates. The shunt admittance at all the buses is assumed negligible.

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 6.43P
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1.6
Problem
A simple four-bus system gives the line admittances identified by the buses on which these
terminates. The shunt admittance at all the buses is assumed negligible.
Line (bus to bus)
G. pu
B, pu
1-2
2.0
- 6.0
1-3
1.0
- 3.0
ACTIVITY 3: LOAD FLOW ANALYSIS: GAUISS-SEIDEL ITERATIVE
2
2-3
0.67
-2.0
2-4
1.0
- 3.0
3-4
2.0
- 6.0
For the system given, the generators are connected at all the four buses, while loads are at
buses 2 and 3. Values of real and reactive powers are listed in table below. All buses other than
the slack are PQ type. Assuming a flat voltage start, find the voltages and bus angles at the three
buses at the end of fourth Gauss-Seidel iteration.
Bus
P, pu
Q. pu
Vi, pu
Remarks
1.0420°
Slack bus
2
0.5
- 0.2
PQ bus
3
-1.0
0.5
PO bus
0.3
-0.1
PQ bus
Solution:
Transcribed Image Text:1.6 Problem A simple four-bus system gives the line admittances identified by the buses on which these terminates. The shunt admittance at all the buses is assumed negligible. Line (bus to bus) G. pu B, pu 1-2 2.0 - 6.0 1-3 1.0 - 3.0 ACTIVITY 3: LOAD FLOW ANALYSIS: GAUISS-SEIDEL ITERATIVE 2 2-3 0.67 -2.0 2-4 1.0 - 3.0 3-4 2.0 - 6.0 For the system given, the generators are connected at all the four buses, while loads are at buses 2 and 3. Values of real and reactive powers are listed in table below. All buses other than the slack are PQ type. Assuming a flat voltage start, find the voltages and bus angles at the three buses at the end of fourth Gauss-Seidel iteration. Bus P, pu Q. pu Vi, pu Remarks 1.0420° Slack bus 2 0.5 - 0.2 PQ bus 3 -1.0 0.5 PO bus 0.3 -0.1 PQ bus Solution:
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