A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing 10 kW . (2) an induction motor drawing 10 kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10 hp , 85 % effIciency and 0.95 power factor leading ( 1 hp = 0 .746 kW ) . Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.
A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing 10 kW . (2) an induction motor drawing 10 kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10 hp , 85 % effIciency and 0.95 power factor leading ( 1 hp = 0 .746 kW ) . Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.
Solution Summary: The author illustrates the real, reactive, and apparent power delivered by the source. The power triangle is drawn as shown in Figure 1.
A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing
10
kW
. (2) an induction motor drawing
10
kVA
at 0.90 power factor lagging, and (3) a synchronous motor operating at
10
hp
,
85
%
effIciency and 0.95 power factor leading
(
1
hp
=
0
.746
kW
)
. Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.
A 5-ohm resistor is connected in series with a 25 micro-farad capacitor. A source voltage of
158 volts, 50 Hz supplies the combination. Determine the following:
a. Circulating current
b. Voltage across the resistor
c. Voltage across the capacitor
d. Real power supplied by the source
e. Reactive power supplied by the source
f. Apparent power of the circuit
g. Power factor of the entire circuit
3. A 12020⁰ Vrms is to supply power to a welder, heater and an induction motor. A welder is a
coil of (4+j3) ohm, the induction motor draws 60KW with 0.8 power factor, and the heater is a
resistor that draws 15KW power. Find the complex power, real power, reactive power and the
total power factor that must be supplied by source.
If a capacitor will be used to supply a reactive power in the circuit in order that the net load will
have a unity power factor, what reactive power must be supplied by the capacitor? Draw the
circuit.
If there is reactive power associated with a circuit element we can say
a) That said element is purely resistive.
b) That said element has a unitary power factor
c) That said element has associated electric or magnetic fields
d) None of the above
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
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