A 415V 50 Hz three phase supply has been divided into three balanced loads, as f

Question

A 415V 50 Hz three phase supply has been divided into three balanced loads, as follows:

LOAD 1 (STAR): 15 kVA at a power factor of 0.60 lagging;
LOAD 2 (DELTA): 24 kW at a power factor of 0.55 lagging;
LOAD 3 (DELTA): ZRW = ZWB = ZBR = Unknown impedance, but components are known to be balanced.

The system draws a total apparent power of 44kVA at a power factor of 0.82 lagging from the supply.

Determine:

(i) the STAR capacitance required to correct the overall supply Power Factor to 0.87 lagging.
(ii) The total line current drawn from the supply before power factor correction and after.

Explanation / Answer

as p=vi costhteta costheta is the power factor s v=1/cintegral idt c=1/v(integral idt) then b p=vi i=p/v plug and chug

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