Find the line current after the addition of capacitor bank, Electrical Engineering

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Q. Find the line current after the addition of capacitor bank?

A 60-Hz, three-phase motor draws 25 kVA at 0.707 lagging power factor from a 220-V source. It is desired to improve the power factor to 0.9 lagging by connecting a capacitor bank across the terminals of the motor.

(a) Determine the line current before and after the addition of the capacitor bank.

(b) Specify the required kVA (kVAR) rating of the capacitor bank. Also sketch a power triangle depicting the power factor correction by using capacitors.

(c) If the motor and the capacitor bank are wye-connected in parallel, find the capacitance per phase of the capacitor bank assuming that it is balanced.

(d) How would the result of part (c) change if the motor and the capacitor bank were to be delta-connected in parallel?


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