A 3-phase, wye connected load of 12kW at 0.8 PF lagging isconnected in parallel with another 3-phase, wye connected load of24 kVA at a power factor of 0.6 leading. The line-to-line voltageis 440 volts.
a) Determine total complex power, power factor ( lead orlag ) , and the line current. (Answer is: ST =26.4 - j10.2 = 28.3 at angle -21.13 degrees kVA, PF = 0.933 lead,IL = 37.14 A, but please show all steps.)
b) Assuming that Van is the reference phasor (0degrees), determine the line currents in each load and the totalline current in phasor form. Draw the phasor diagram (all voltagesand currents). (Answer is: IL1 = 19.68 at angle-36.87 degrees A, IL2 = 31.49 at angle 53.13 degrees A,IL = 37.14 at angle 21.13 degrees A , but pleaseshow all steps.)
c) Determine the KVAR needed to make the aggregate (whichmeans total) power factor unity. Is it inductive or capacitiveKVARs? Please show all steps.