Keywords:
Power
Power Factor Correction
Problem #1
In the circuit, a 110 Vrms load is fed from a transmission line having a impedance of 4 + j1 Ω. The load absorbs an average power of 8 kW at a lagging pf of 0.8.
a) Determine the apparent power required to supply the load and the average power lost in the transmission line.
b) Compute the value of a capacitor that would correct the power factor to 1 if placed in parallel with the load. Recompute the values in (a) for the load with the corrected power factor.
Need a hint?
The apparent power is the average power divided by the power factor. To set the power factor to 1, the capacitor reactive power should equal to the negative reactive power of the load.