Given a 3-bus power system as follows. IVal = 1.0 pu Vi = 1.05/ 0 pu Poen = 1.2 pu Z12 = 0.01 + j0.03 어 P-Load 2.5 pu Qoad = 1.8 pu Z,, = 0.015 + j0.04 3 Z, = 0.02 + j0.05 PLoad = 3.0 pu QLoad = 2.2 pu Answer the following questions: 1) What is the kind of buses in the power system? 2) Determine the admittance matrix. 3) With the accuracy of 10, use the Gauss or Gauss-Seidel method to determine: a. How many iterations the algorithm required? b. The voltage amplitude and angle at Bus 3. c. The voltage angle at Bus 2. d. The active power produced by the generator at Bus 2. e. The active and reactive power produced by the generator at Bus 1. f. The total power losses 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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.39P
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Given a 3-bus power system as follows.
|V2l = 1.0 pu
Vi = 1.05/ 0 pu
Poen = 1.2 pu
Zı2 = 0.01 + j0.03
어
P-Lood = 2.5 pu
QLoat = 1.8 pu
2
Z = 0.015 + j0.04
Zz = 0.02 + j0.05
3
PLoad = 3.0 pu
QLoad = 2.2 pu
Answer the following questions:
1) What is the kind of buses in the power system?
2) Determine the admittance matrix.
3) With the accuracy of 10, use the Gauss or Gauss-Seidel method to
determine:
a. How many iterations the algorithm required?
b. The voltage amplitude and angle at Bus 3.
c. The voltage angle at Bus 2.
d. The active power produced by the generator at Bus 2.
e. The active and reactive power produced by the generator at Bus 1.
f. The total power losses of the system.
Transcribed Image Text:Given a 3-bus power system as follows. |V2l = 1.0 pu Vi = 1.05/ 0 pu Poen = 1.2 pu Zı2 = 0.01 + j0.03 어 P-Lood = 2.5 pu QLoat = 1.8 pu 2 Z = 0.015 + j0.04 Zz = 0.02 + j0.05 3 PLoad = 3.0 pu QLoad = 2.2 pu Answer the following questions: 1) What is the kind of buses in the power system? 2) Determine the admittance matrix. 3) With the accuracy of 10, use the Gauss or Gauss-Seidel method to determine: a. How many iterations the algorithm required? b. The voltage amplitude and angle at Bus 3. c. The voltage angle at Bus 2. d. The active power produced by the generator at Bus 2. e. The active and reactive power produced by the generator at Bus 1. f. The total power losses of the system.
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