GATE EE 2014 Set 1 — Question 50
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Power Systems → Insulators & Distribution → Feeder Calculations
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Question
A distribution feeder of 1 km length having resistance, but negligible reactance, is fed from both the ends by 400V, 50 Hz balanced sources. Both voltage sources and are in phase. The feeder supplies concentrated loads of unity power factor as shown in the figure.
The contributions of and in 100 A current supplied at location P respectively, are
The contributions of and in 100 A current supplied at location P respectively, are
Correct answer
(D) 0 A and 100 A
Solution
Let be the resistance per unit length. Total length is 1000m. Since the sources are in phase and loads are at unity power factor with negligible reactance, we can treat this as a DC circuit.
Let be the current from source . Applying KVL between and :
The current in the segment from 400m to 600m (location P) is .
The current in the segment from 600m to 800m is .
At location P, the current from the left is 0 A and the current from the right is 100 A. Thus, contributes 0 A and contributes 100 A.
Let be the current from source . Applying KVL between and :
The current in the segment from 400m to 600m (location P) is .
The current in the segment from 600m to 800m is .
At location P, the current from the left is 0 A and the current from the right is 100 A. Thus, contributes 0 A and contributes 100 A.
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