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 l 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. i) 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. ii) Use the sequence impedances calculated in part (i) to determine the distance d of the fault (in km) from Bus 4.

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
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.30P: Reconsider Problem 3.29. If Va,VbandVc are a negative-sequence set, how would the voltage and...
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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 l 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.

i) 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.
ii) Use the sequence impedances calculated in part (i) to determine the distance d
of the fault (in km) from Bus 4. 

It's different from the answer, please don't send it

b) i) Z = j(0.2894 +0.024d)
z = j(0.4172 +0.01d)
Z = j(0.4423 +0.01d)
ii) d = 32.49 km
Transcribed Image Text:b) i) Z = j(0.2894 +0.024d) z = j(0.4172 +0.01d) Z = j(0.4423 +0.01d) ii) d = 32.49 km
G1
G2
G1
G2
T1
T2
T3
L1
1
2
+
Al
Rated voltage
(kV)
20
20
20/33
20/33
33/11
11
T1
T2
3
T3
∞
xx
Figure Q2.1
Table Q2.1
4
d
F
L1
(1-d)
5
Zero sequence
Positive sequence Negative sequence
reactance X₁ (p.u.) | reactance X₁ (p.u.)| reactance X₂ (p.u.)
0.20
0.30
0.35
0.15
0.25
0.30
0.12
0.12
0.12
0.20
0.20
0.20
0.20
1.20
0.50
0.20
0.20
0.50
Transcribed Image Text:G1 G2 G1 G2 T1 T2 T3 L1 1 2 + Al Rated voltage (kV) 20 20 20/33 20/33 33/11 11 T1 T2 3 T3 ∞ xx Figure Q2.1 Table Q2.1 4 d F L1 (1-d) 5 Zero sequence Positive sequence Negative sequence reactance X₁ (p.u.) | reactance X₁ (p.u.)| reactance X₂ (p.u.) 0.20 0.30 0.35 0.15 0.25 0.30 0.12 0.12 0.12 0.20 0.20 0.20 0.20 1.20 0.50 0.20 0.20 0.50
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