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 (%)

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?

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?

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.28P: Three loads are connected in parallel across a single-phase source voltage of 240V(RMS). Load 1...

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Concept explainers

Single Phase Transformer

A single-phase transformer is a type of power transformer. It is an electrical device that accepts converts the single phase alternating power into single phase alternating power. In this power conversion the voltage is stepped up or down. If the voltage is stepped up, the current will be stepped down and if the voltage is stepped down, the current will be stepped up.

Question

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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