A three-phase feeder (rms line voltage) carries a balanced rms line current of to a…

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Earth, Climate & Energy Physics · Electromagnetic induction and alternating-current circuits

Energy from Physics, Ch The grid with variable renewables: power flow, inertia, adequacy and electrification

Problem

A 33 kV33\,\mathrm{kV} three-phase feeder (rms line voltage) carries a balanced rms line current of 400 A400\,\mathrm{A} to a load at power factor 0.850.85 lagging. ((a)) Find the three-phase real power PP, reactive power QQ and apparent power SS the load takes. ((b)) Capacitors at the load correct the power factor to 11 with the real power unchanged. Find the new line current and the fraction by which the feeder's resistive loss falls.

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