Three parallel three-phase loads are supplied from a 207.85-V rms, 60-Hz three-phase supply. The loads are as follows: Load 1: A 15 HP motor operating at full-load, 93.25 percent efficiency, and 0.6 lagging power factor. Load 2: A balanced resistive load that draws a total of 6 kW. Load 3: A Y-connected capacitor bank with a total rating of 16 kvar. (a) Draw the three-phase circuit. (b) What is the total system kW, kvar, power factor, and the supply current per phase? Please show formulas and work. (c) What is the system power factor and the supply current per phase when the resistive load and induction motor are operating but the capacitor bank is switched off? Please show formulas and work.
Three parallel three-phase loads are supplied from a 207.85-V rms, 60-Hz three-phase supply. The loads are as follows:
Load 1: A 15 HP motor operating at full-load, 93.25 percent efficiency, and 0.6 lagging power factor.
Load 2: A balanced resistive load that draws a total of 6 kW.
Load 3: A Y-connected capacitor bank with a total rating of 16 kvar.
(a) Draw the three-phase circuit.
(b) What is the total system kW, kvar, power factor, and the supply current per phase? Please show formulas and work.
(c) What is the system power factor and the supply current per phase when the resistive load and induction motor are operating but the capacitor bank is switched off? Please show formulas and work.
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