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?

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? 

Each motor is rated at 80 hp but is only loaded mechanically as follows:
Motor #
% Loading
1
50
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
60
40
20
20
40
60
BU
100
120
Motor Loading (%)
The relationship between % of full load for cach motor and power factor (they are
all the same) is given by the graph below:
0.7
0.6
0.5
0.4
0.3
0.2
0.1
20
40
60
0
100
120
Motor Loading (%)
pf (lagging)
Efficiency (%)
Transcribed Image Text:Each motor is rated at 80 hp but is only loaded mechanically as follows: Motor # % Loading 1 50 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 60 40 20 20 40 60 BU 100 120 Motor Loading (%) The relationship between % of full load for cach motor and power factor (they are all the same) is given by the graph below: 0.7 0.6 0.5 0.4 0.3 0.2 0.1 20 40 60 0 100 120 Motor Loading (%) pf (lagging) Efficiency (%)
13.8 KVRMS
600 VRMS
M
M
(M)
M
Motor 1
Motor 2
Motor 4
80 hp
Motor 3
80 hp
80 hp
80 hp
Transcribed Image Text:13.8 KVRMS 600 VRMS M M (M) M Motor 1 Motor 2 Motor 4 80 hp Motor 3 80 hp 80 hp 80 hp
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