In a 3-bus system that consists of one generator (slack) bus and two PQ (load) busses, the data were obtained: Туре Voltage Real power Reactive Power Bus 1 Slack 1 L0 pu Bus 2 Load 0.9471L-2.13º pu 1.2 pu 0.5 pu Bus 3 Load 0.9857L-3.61• pu 0.9 pu 0.3 P1 Q1 If the lines are purely resistive and have the following resistances: R12 =1 pu, R13 = 0.75 pu and R23 0.6 pu Find the following: 1) The values of P, and Q1. 2) The bus admittance matrix of the system.

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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In a 3-bus system that consists of one generator (slack) bus and two PQ (load) busses, the
data were obtained:
Bus 3
Bus 2
Load
0.9471L-2.13 pu
1.2 pu
0.5 pu
Bus 1
Load
0.9857L-3.61• pu
0.9 pu
Slack
Туре
Voltage
Real power
Reactive Power
1 L0o pu
P1
Q1
0.3
If the lines are purely resistive and have the following resistances:
R12 = 1 pu, R13 0.75 pu and R23 0.6 pu
Find the following:
1) The values of Pi and Q1.
2) The bus admittance matrix of the system.
Transcribed Image Text:In a 3-bus system that consists of one generator (slack) bus and two PQ (load) busses, the data were obtained: Bus 3 Bus 2 Load 0.9471L-2.13 pu 1.2 pu 0.5 pu Bus 1 Load 0.9857L-3.61• pu 0.9 pu Slack Туре Voltage Real power Reactive Power 1 L0o pu P1 Q1 0.3 If the lines are purely resistive and have the following resistances: R12 = 1 pu, R13 0.75 pu and R23 0.6 pu Find the following: 1) The values of Pi and Q1. 2) The bus admittance matrix of the system.
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