Two machines and a lighting load are connected in parallel to a 240 V(rms), 60 Hz line. The first machine uses 230 kW of power at 0.85 power factor lagging. The second machine uses 95 kVA at 0.882 power factor leading. The lightening load consumes 38 kW.
(a) Sketch and label a power triangle for each of the three devices.
(b) Sketch and label a power triangle for the combined loads.
(c) What is the current in the line feeding the three loads?
(d) What kVAR value of capacitance connected across the line is necessary to obtain a power factor of 0.97 lagging?
(e) With this capacitor installed, what will be the current flowing in the line feeding the four loads?