GATE EE 2014 Set 3 — Question 52
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Electric Circuits → AC Power & Three-Phase → Complex Power
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Question
The complex power consumed by a constant-voltage load is given by , where, and . A compensating shunt capacitor is chosen such that , where is the net reactive power consumed by the capacitor-load combination. The reactive power (in kVAR) supplied by the capacitor is _________.
Correct answer
0.75 to 0.75
Solution
Let be the reactive power supplied by the capacitor. The net reactive power consumed is .
We are given the condition for all .
This means , which simplifies to .For this to hold for the entire range of :
We are given the condition for all .
This means , which simplifies to .For this to hold for the entire range of :
1..
2..
Thus, must be exactly kVAR.Continue learning with Success Tracker
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