(b) For a 4-bus 3-phase, 100 kV, 50 Hz power system, the following Y-bus and corresponding Z-bus matrix are obtained using bases of 100 MVA and 100 kV. - j28.333 j5 j6.667 j10 - j28.333 j6.667 pu. j5 j10 Ybus = j6.667 j10 - j16.667 j0 ло j6.667 j0 - j16.667 j0.0903 j0.0597 j0.0719 j0.0780] j0.0597 j0.0903 j0.0780 j0.0719 Zbus = j0.0719 j0.0780 j01356 j0.0743 Lj0.0780 j0.0719 j0.0743 j0.1356] pu. A symmetrical three-phase fault occurs at bus 4. By assumming prefault voltages to be at nominal values and prefault current to be zero, determine fault currents (in A) at bus 4 and voltages (in V) at all buses during fault if the fault is: (i) solid (bolted) fault. (ii) through reactance of 10 Q to the ground. (iii) Give comment based on your observation on the differences between results obtained from parts (i) and (ii) above.

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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(b)
For a 4-bus 3-phase, 100 kV, 50 Hz power system, the following Y-bus and
corresponding Z-bus matrix are obtained using bases of 100 MVA and 100 kV.
[- j28.333
j5
j6.667
j10
j5
- j28.333
j10
j6.667
Ybus
p.u.
j6.667
j10
- j16.667
j0
j10
j6.667
j0
- j16.667
[ j0.0903 j0.0597 j0.0719 j0.0780
Zbus
j0.0597 j0.0903 j0.0780 j0.0719
pu.
j0.0719 j0.0780 j01356 j0.0743
Lj0.0780 j0.0719 j0.0743 j0.1356]
A symmetrical three-phase fault occurs at bus 4. By assumming prefault voltages to
be at nominal values and prefault current to be zero, determine fault currents (in A) at
bus 4 and voltages (in V) at all buses during fault if the fault is:
(i)
solid (bolted) fault.
(ii)
through reactance of 10 Q to the ground.
(iii)
Give comment based on your observation on the differences between results
obtained from parts (i) and (ii) above.
Transcribed Image Text:(b) For a 4-bus 3-phase, 100 kV, 50 Hz power system, the following Y-bus and corresponding Z-bus matrix are obtained using bases of 100 MVA and 100 kV. [- j28.333 j5 j6.667 j10 j5 - j28.333 j10 j6.667 Ybus p.u. j6.667 j10 - j16.667 j0 j10 j6.667 j0 - j16.667 [ j0.0903 j0.0597 j0.0719 j0.0780 Zbus j0.0597 j0.0903 j0.0780 j0.0719 pu. j0.0719 j0.0780 j01356 j0.0743 Lj0.0780 j0.0719 j0.0743 j0.1356] A symmetrical three-phase fault occurs at bus 4. By assumming prefault voltages to be at nominal values and prefault current to be zero, determine fault currents (in A) at bus 4 and voltages (in V) at all buses during fault if the fault is: (i) solid (bolted) fault. (ii) through reactance of 10 Q to the ground. (iii) Give comment based on your observation on the differences between results obtained from parts (i) and (ii) above.
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