Q4 Suppose the voltage waveform shown in Figure Q4a was observed at the sending end of a 50 2 transmission line in response to a step voltage introduced by a generator with V, =15 V and an unknown series (a) resistance, R. . If the line is 1 km in length, velocity of propagation for the signals on the line is 1x10 m/s, and it is terminated in a load, Z, =100 Q: (i) Determine R. (ii) Explain why the drop in level of V (0,t) at 1=6µs could only have been caused by a fault on the line and cannot be due to reflection from the load. (iii) Determine the location of the fault responsible for the observed

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
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.22P
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Q4
Suppose the voltage waveform shown in Figure Q4a was observed at the
sending end of a 50 N transmission line in response to a step voltage
introduced by a generator with V, =15 V and an unknown series
(а)
resistance, R. . If the line is 1 km in length, velocity of propagation for the
signals on the line is 1×10* m/s, and it is terminated in a load, Z, =100 N:
(i)
Determine R,
(ii)
Explain why the drop in level of V (0,t) at t=6µs could only have
been caused by a fault on the line and cannot be due to reflection from
the load.
(iii)
Determine the location of the fault responsible for the observed
waveform and the impedance R, at this location.
V(0, t)
5 V-
3 V
6 µs
Figure Q4a
If for the setup in part a) there was no fault on the line, calculate and sketch
the voltage at the sending end of the line for t = 0 to t = 25 µs. Assume that
R. =100 N.
(b)
Transcribed Image Text:Q4 Suppose the voltage waveform shown in Figure Q4a was observed at the sending end of a 50 N transmission line in response to a step voltage introduced by a generator with V, =15 V and an unknown series (а) resistance, R. . If the line is 1 km in length, velocity of propagation for the signals on the line is 1×10* m/s, and it is terminated in a load, Z, =100 N: (i) Determine R, (ii) Explain why the drop in level of V (0,t) at t=6µs could only have been caused by a fault on the line and cannot be due to reflection from the load. (iii) Determine the location of the fault responsible for the observed waveform and the impedance R, at this location. V(0, t) 5 V- 3 V 6 µs Figure Q4a If for the setup in part a) there was no fault on the line, calculate and sketch the voltage at the sending end of the line for t = 0 to t = 25 µs. Assume that R. =100 N. (b)
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