Q6: A five-bus network has generators at buses 1 and 3 rated 270 and 225 MVA, respectively. The generator sub-transient reactances plus the reactances of the transformers connecting them to the buses are each 0.3 pu on the generator rating as base. The turns ratios of the transformers are such that the voltage base in each generator circuit is equal to the voltage rating of the generator. Line impedances in pu on a 100 MVA system base are shown in Fig. below. All resistances are neglected. Using the bus impedance matrix for the network which includes the generator and transformer reactances, find the sub-transient current in a three phase fault at bus 4 and the current coming to the faulted bus over each line. Prefault current is to be neglected and all voltages are assumed to be 1 pu before the fault occurs. 3 1.0/0° j0.168 ll j0.126 ll 1.0/0 j0.1111 j0.1333 alill j0.210 ell j0.126 all j0.252 4 j0.336 hellt

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
Chapter9: Unsymmetrical Faults
Section: Chapter Questions
Problem 9.53P
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Q6: A five-bus network has generators at buses 1 and 3 rated 270 and 225
MVA, respectively. The generator sub-transient reactances plus the
reactances of the transformers connecting them to the buses are each 0.3
pu on the generator rating as base. The turns ratios of the transformers are
such that the voltage base in each generator circuit is equal to the voltage
rating of the generator. Line impedances in pu on a 100 MVA system
base are shown in Fig. below. All resistances are neglected. Using the bus
impedance matrix for the network which includes the generator and
transformer reactances, find the sub-transient current in a three phase
fault at bus 4 and the current coming to the faulted bus over each line.
Prefault current is to be neglected and all voltages are assumed to be 1 pu
before the fault occurs.
3
j0.126
1.0/0
j0.1333
ll
1.0/0
j0.168
ll
ell
j0.210
ll
j0.252 4 j0.336
ll
j0.1111
lill
j0.126
all
ll
Transcribed Image Text:Q6: A five-bus network has generators at buses 1 and 3 rated 270 and 225 MVA, respectively. The generator sub-transient reactances plus the reactances of the transformers connecting them to the buses are each 0.3 pu on the generator rating as base. The turns ratios of the transformers are such that the voltage base in each generator circuit is equal to the voltage rating of the generator. Line impedances in pu on a 100 MVA system base are shown in Fig. below. All resistances are neglected. Using the bus impedance matrix for the network which includes the generator and transformer reactances, find the sub-transient current in a three phase fault at bus 4 and the current coming to the faulted bus over each line. Prefault current is to be neglected and all voltages are assumed to be 1 pu before the fault occurs. 3 j0.126 1.0/0 j0.1333 ll 1.0/0 j0.168 ll ell j0.210 ll j0.252 4 j0.336 ll j0.1111 lill j0.126 all ll
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