GATE EE 2014 Set 2 — Question 24
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Electric Circuits → AC Power & Three-Phase → Power Factor & Correction
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Question
A single phase induction motor draws 12 MW power at 0.6 lagging power. A capacitor is connected in parallel to the motor to improve the power factor of the combination of motor and capacitor to 0.8 lagging. Assuming that the real and reactive power drawn by the motor remains same as before, the reactive power delivered by the capacitor in MVAR is __________.
Correct answer
6.97 to 7.03
Solution
Given:
Real power
Initial power factor
Initial reactive power Target power factor
Target reactive power The reactive power delivered by the capacitor is the difference between the initial and final reactive power:
.
Real power
Initial power factor
Initial reactive power Target power factor
Target reactive power The reactive power delivered by the capacitor is the difference between the initial and final reactive power:
.
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