GATE EE 2017 Set 1 — Question 39
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Electric Circuits → AC Power & Three-Phase → Power Factor & Correction
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Question
A load is supplied by a , source. The active power and the reactive power consumed by the load are such that and . A capacitor connected across the load for power factor correction generates reactive power. The worst case power factor after power factor correction is
Correct answer
(B) 0.707 lag
Solution
The initial load parameters are and .
A capacitor generates (leading reactive power).
The net reactive power after correction is .
Since , .
The power factor is given by .
To find the worst case (minimum) power factor, we need to maximize the ratio .
Max value of and min value of .
Max .
Worst case power factor .
Since , the power factor is lagging.
A capacitor generates (leading reactive power).
The net reactive power after correction is .
Since , .
The power factor is given by .
To find the worst case (minimum) power factor, we need to maximize the ratio .
Max value of and min value of .
Max .
Worst case power factor .
Since , the power factor is lagging.
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