b) The single line diagram of a power system is shown in Figure Q2.1 includinggenerator and transformer winding connection and earthing details. The parametersfor this system have been calculated on a common 100 MVA base and are given inTable Q2.1. All resistances and shunt susceptances are neglected. This systemexperiences a single line to ground fault at a point F on line L1. The point F is at adistance d from Bus 4 along the line LI. The total length of the line L1 is 50 km.Note that the location of d is not drawn to scale in Figure Q2.1. The fault current atthe fault point F is measured to be 6.106 kA.G1G1G2i)G2T1T2T3L111)2Rated voltage(kV)202020/3320/3333/1111T1ΔΕT2T3Figure Q2.1Table Q2.1Zero sequencereactance Xo (p.u.)0.200.150.120.200.201.20Positive sequencereactance X₁ (p.u.)0.300.250.120.200.200.50UNIVERSITY OFLIVERPOOLL1(l-d)5Negative sequencereactance X₂ (p.u.)0.350.300.120.200.200.50Determine the zero, positive, and negative sequence Thevenin equivalentimpedances as seen at the fault point F. These should be evaluated in per unitand shown as a function of d.Use the sequence impedances calculated in part (i) to determine the distance dof the fault (in km) from Bus 4.

b) The single line diagram of a power system is shown in Figure Q2.1 including generator and transformer winding connection and earthing details. The parameters for this system have been calculated on a common 100 MVA base and are given in Table Q2.1. All resistances and shunt susceptances are neglected. This system experiences a single line to ground fault at a point F on line L1. The point F is at a distance d from Bus 4 along the line L1. The total length 1 of the line L1 is 50 km. Note that the location of d is not drawn to scale in Figure Q2.1. The fault current at the fault point F is measured to be 6.106 kA. G1 G2 1 2 IN T1 3 ΔΕ T2 T3 Figure Q2.1 4 L1 (l-d) 5

b) The single line diagram of a power system is shown in Figure Q2.1 including generator and transformer winding connection and earthing details. The parameters for this system have been calculated on a common 100 MVA base and are given in Table Q2.1. All resistances and shunt susceptances are neglected. This system experiences a single line to ground fault at a point F on line L1. The point F is at a distance d from Bus 4 along the line L1. The total length 1 of the line L1 is 50 km. Note that the location of d is not drawn to scale in Figure Q2.1. The fault current at the fault point F is measured to be 6.106 kA. G1 G2 1 2 IN T1 3 ΔΕ T2 T3 Figure Q2.1 4 L1 (l-d) 5

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Three-Phase Transformers

Three-segment transformers are a type of transformer used to transform voltages of electrical systems into three ranges. Two type transformers are shell-type transformer and core type transformer. In brief, it could be described because of the exquisite kinds of configurations.

Transformer

Ever since electricity has been created, people have started using it in its entirety. We see many types of Transformers in the neighborhoods. Some are smaller in size and some are very large. They are used according to their requirements. Many of us have seen the electrical transformer but they do not know what work they are engaged in.

Question

b) The single line diagram of a power system is shown in Figure Q2.1 including
generator and transformer winding connection and earthing details. The parameters
for this system have been calculated on a common 100 MVA base and are given in
Table Q2.1. All resistances and shunt susceptances are neglected. This system
experiences a single line to ground fault at a point F on line L1. The point F is at a
distance d from Bus 4 along the line LI. The total length of the line L1 is 50 km.
Note that the location of d is not drawn to scale in Figure Q2.1. The fault current at
the fault point F is measured to be 6.106 kA.
G1
G1
G2
i)
G2
T1
T2
T3
L1
11)
2
Rated voltage
(kV)
20
20
20/33
20/33
33/11
11
T1
ΔΕ
T2
T3
Figure Q2.1
Table Q2.1
Zero sequence
reactance Xo (p.u.)
0.20
0.15
0.12
0.20
0.20
1.20
Positive sequence
reactance X₁ (p.u.)
0.30
0.25
0.12
0.20
0.20
0.50
UNIVERSITY OF
LIVERPOOL
L1
(l-d)
5
Negative sequence
reactance X₂ (p.u.)
0.35
0.30
0.12
0.20
0.20
0.50
Determine the zero, positive, and negative sequence Thevenin equivalent
impedances as seen at the fault point F. These should be evaluated in per unit
and shown as a function of d.
Use the sequence impedances calculated in part (i) to determine the distance d
of the fault (in km) from Bus 4.

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