If the source impedance at a 13.2 kV distribution substation bus is (0:5 + 1:5) Q per phase, compute the RMS and maximum peak instantaneous value of the fault current, for a balanced three-phase fault. For the system (X/R) ratio of 3.0, the asymmetrical factor is 1.9495 and the time of peak is 7.1 ms (see Problem 1). Comment on the withstanding peak current capability to which all substation electrical equipment need to be designed.

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
Chapter7: Symmetrical Faults
Section: Chapter Questions
Problem 7.2MCQ: Even though the fault current is not symmetrical and not strictly periodic, the rms asymmetrical...
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If the source impedance at a 13.2 kV distribution substation bus is (0:5 + 1:5) Q per phase,
compute the RMS and maximum peak instantaneous value of the fault current, for a balanced
three-phase fault. For the system (X/R) ratio of 3.0, the asymmetrical factor is 1.9495 and the
time of peak is 7.1 ms (see Problem 1). Comment on the withstanding peak current capability
to which all substation electrical equipment need to be designed.
Problem 1
Consider the expression for i(f) given by
i(t) = v21ms [sin(@t-0-)+ sin 0,.eR/X)]
where ez = tan-1 (WL/R).
(a) For (X/R) equal to zero and infinity, plot i(f) as a function of (wf).
(b) Comment on the DC offset of the fault current waveforms.
(c) Find the asymmetrical current factor and the time of peak, tp, in milliseconds, for (X/R)
ratios of zero and infinity.
Transcribed Image Text:If the source impedance at a 13.2 kV distribution substation bus is (0:5 + 1:5) Q per phase, compute the RMS and maximum peak instantaneous value of the fault current, for a balanced three-phase fault. For the system (X/R) ratio of 3.0, the asymmetrical factor is 1.9495 and the time of peak is 7.1 ms (see Problem 1). Comment on the withstanding peak current capability to which all substation electrical equipment need to be designed. Problem 1 Consider the expression for i(f) given by i(t) = v21ms [sin(@t-0-)+ sin 0,.eR/X)] where ez = tan-1 (WL/R). (a) For (X/R) equal to zero and infinity, plot i(f) as a function of (wf). (b) Comment on the DC offset of the fault current waveforms. (c) Find the asymmetrical current factor and the time of peak, tp, in milliseconds, for (X/R) ratios of zero and infinity.
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