Can anyone pleae help me with this questione.. How do I fine the impedance of the circuit ???


A factory draws a total of 415kVA from a 2.4kV (line voltage) 3-phase supply. If the plant
power factor is 0.875, calculate:
a. The impedance of the plant per phase
b. The phase angle between the line-to-neutral voltage and the line current​

c. Draw a phasor diagram showing the voltages and currents of the three phases

 

There are a few approaches but I normally take this one

* Calculate the VA load per phase - Q
* Calculate the line-to-neutral voltage - Vln
* Calculate I line = Q/Vln
* Impedance per phase Zph = Vln/I line
* Calculate current phase angle (θ) with respect to Vln where θ=acos(pf) and assume it is lagging pf
* Draw your phasor diagram remembering that in a balanced 3-phase system the line currents and their phase angles will be equally balanced.