A customer's plant has two parallel loads connected to the power utility's distribution lines. The first load consists of 50 kW of heating and is resistive. The second load is a set of motors that operate at 0.86 lagging power factor. The motors' load is 100 kVA. Power is supplied to the plant at 10,000 volts rms. a)Determine the total current flowing from the utility's lines into the plant and the plant's overall power factor. b) find the value of the capacitor that should be added to the circuit to improve the power factor to .99 S₁= 50x1 = 5040⁰ Vrms f= 60 Hz = 10 kV P = 50 kW pf = 1 ||S|= 100 kVA pf=0.86 lagging и

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A customer's plant has two parallel loads connected to the power utility's distribution lines.
The first load consists of 50 kW of heating and is resistive. The second load is a set of
motors that operate at 0.86 lagging power factor. The motors' load is 100 kVA. Power is
supplied to the plant at 10,000 volts rms.
a)Determine the total current flowing from the utility's lines into the plant and the plant's
overall power factor.
b) find the value of the capacitor that should be added to the circuit to improve the power
factor to .99
S₁ = 50x1 =
5040⁰
Vrms
f=
60 Hz
= 10 kV
P = 50 kW
pf=1
||S|= 100 kVA
pf=0.86
lagging
и
Transcribed Image Text:A customer's plant has two parallel loads connected to the power utility's distribution lines. The first load consists of 50 kW of heating and is resistive. The second load is a set of motors that operate at 0.86 lagging power factor. The motors' load is 100 kVA. Power is supplied to the plant at 10,000 volts rms. a)Determine the total current flowing from the utility's lines into the plant and the plant's overall power factor. b) find the value of the capacitor that should be added to the circuit to improve the power factor to .99 S₁ = 50x1 = 5040⁰ Vrms f= 60 Hz = 10 kV P = 50 kW pf=1 ||S|= 100 kVA pf=0.86 lagging и
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