GATE EE 2016 Set 1 — Question 50
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Electric Circuits → AC Power & Three-Phase → Power Factor Correction
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Question
A three-phase cable is supplying 800 kW and 600 kVAr to an inductive load. It is intended to supply an additional resistive load of 100 kW through the same cable without increasing the heat dissipation in the cable, by providing a three-phase bank of capacitors connected in star across the load. Given the line voltage is 3.3 kV, 50 Hz, the capacitance per phase of the bank, expressed in microfarads, is ________.
Correct answer
47 to 49
Solution
Initial load: , . Apparent power .
Line current . Heat dissipation .
New load: .
To keep heat dissipation same, .
New reactive power .
Reactive power supplied by capacitor bank .
For star connection, .
.
.
Line current . Heat dissipation .
New load: .
To keep heat dissipation same, .
New reactive power .
Reactive power supplied by capacitor bank .
For star connection, .
.
.
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