a) What is the minimum required transformer rating in kVA? b) By what percentage could the required transformer rating be reduced if a capacitor bank were installed in parallel with the motors, improving the power factor of the loadcentre to unity? 1. Consider the three-phase loadcentre shown below:13.8 KVRMS600 VEMS(M(M)(M)MMotor 1Motor 2Motor 3Motor 480 hp80 hp80 hp80 hp Each motor is rated at 80 hp but is only loaded mechanically as follows:Motor #% Loading150270320490The relationship between % of full load for each motor and efficiency (they are allthe same) is given by the graph below:1201008060402020406080100120Motor Loading (96)The relationship between % of full load for each motor and power factor (they areall the same) is given by the graph below:0.80.70.60.50.40.30.20.120406080100120Motor Loading (96)pf (lagging)Eiciency (%)

Answered: a) What is the minimum required…

Introductory Circuit Analysis (13th Edition)

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ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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a) What is the minimum required transformer rating in kVA?
b) By what percentage could the required transformer rating be reduced if a
capacitor bank were installed in parallel with the motors, improving the power
factor of the loadcentre to unity?

1. Consider the three-phase loadcentre shown below:
13.8 KVRMS
600 VEMS
(M
(M)
(M)
M
Motor 1
Motor 2
Motor 3
Motor 4
80 hp
80 hp
80 hp
80 hp

Each motor is rated at 80 hp but is only loaded mechanically as follows:
Motor #
% Loading
1
50
2
70
3
20
4
90
The relationship between % of full load for each motor and efficiency (they are all
the same) is given by the graph below:
120
100
80
60
40
20
20
40
60
80
100
120
Motor Loading (96)
The relationship between % of full load for each motor and power factor (they are
all the same) is given by the graph below:
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
20
40
60
80
100
120
Motor Loading (96)
pf (lagging)
Eiciency (%)

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