A balanced, 3-phase, 3-wire, 60Hz,wye-connected source is serving a combination

Question

A balanced, 3-phase, 3-wire, 60Hz,wye-connected source is serving a combination of balanced loads invarious configurations. Measurement of the source line voltageindicates 480 volts line-to-line. Measurement of the source linecurrent indicates 23 amps. When 8 KVAR of capacitance (3-phase) isadded in parallel to the other loads, the source voltage stays thesame and the source current changes to 18 amps.

What is the total 3-phase original load in watts and VARS? (Answers are: P = 14.153 kW, Q = 12.856 KVARS , butplease show all steps.) Thank you. A balanced, 3-phase, 3-wire, 60Hz,wye-connected source is serving a combination of balanced loads invarious configurations. Measurement of the source line voltageindicates 480 volts line-to-line. Measurement of the source linecurrent indicates 23 amps. When 8 KVAR of capacitance (3-phase) isadded in parallel to the other loads, the source voltage stays thesame and the source current changes to 18 amps.

What is the total 3-phase original load in watts and VARS? (Answers are: P = 14.153 kW, Q = 12.856 KVARS , butplease show all steps.) Thank you.

Explanation / Answer

Vline=480V Iline=23amps let, active power=PkW reactive power=QkVAR (P2+Q2)=3*480*23/1000..................(1) After compensation Iline=18amps {P2+(Q-8)2}=3*480*18/1000.................(2) from (1) and (2) we get that P=14.1kW Q=12.85kVAR

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