a- A 50-Hz transformer is operated from a 60 Hz supply. Assume that the load does not change- Discuss the corresponding effects on its flux, reactive power requirements, losses, and efficiency. A 50-kVA, 2400/240 V, 60-Hz, single-phase distribution transformer has the following equivalent- circuit parameters referred to the high-voltage side. Re-0.5 Ω X = 4,500 2 Use the equivalent Cantilever model circuit shown in Figure (1). Assume that the load on the secondary of the transformer is 40 kVA at 0.8 p.f. lagging with the receiving end voltage maintained Xeg = 3.0 2 R-30,000 Ω at 240 V. b- Determine the following: i- voltage at the primary side, ii- current at the primary side, iii- active power input at the primary side, iv- reactive power input at the primary side, v- power factor at the primary side, and vi- efficiency of the transformer at this loading. Rea 12 Xm

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
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.14P: A single-phase 50-kVA,2400/240-volt,60-Hz distribution transformer is used as a step-down...
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part B

Problem 3
a- A 50-Hz transformer is operated from a 60 Hz supply. Assume that the load does not change.
Discuss the corresponding effects on its flux, reactive power requirements, losses, and efficiency.
A 50-kVA, 2400/240 V, 60-Hz, single-phase distribution transformer has the following equivalent-
circuit parameters referred to the high-voltage side.
Xeg = 3.0 2
R=30,000 2
Re= 0.5 2
Xm = 4,500 2
Use the equivalent Cantilever model circuit shown in Figure (1). Assume that the load on the
secondary of the transformer is 40 kVA at 0.8 p.f. lagging with the receiving end voltage maintained
at 240 V.
b- Determine the following:
i- voltage at the primary side,
ii- current at the primary side,
iii- active power input at the primary side,
iv- reactive power input at the primary side,
v- power factor at the primary side, and
vi- efficiency of the transformer at this loading.
Rea
Xeg
12
VI R
Xm
Figure (1) Equivalent Circuit of Transformer for Problem 3
ll
Transcribed Image Text:Problem 3 a- A 50-Hz transformer is operated from a 60 Hz supply. Assume that the load does not change. Discuss the corresponding effects on its flux, reactive power requirements, losses, and efficiency. A 50-kVA, 2400/240 V, 60-Hz, single-phase distribution transformer has the following equivalent- circuit parameters referred to the high-voltage side. Xeg = 3.0 2 R=30,000 2 Re= 0.5 2 Xm = 4,500 2 Use the equivalent Cantilever model circuit shown in Figure (1). Assume that the load on the secondary of the transformer is 40 kVA at 0.8 p.f. lagging with the receiving end voltage maintained at 240 V. b- Determine the following: i- voltage at the primary side, ii- current at the primary side, iii- active power input at the primary side, iv- reactive power input at the primary side, v- power factor at the primary side, and vi- efficiency of the transformer at this loading. Rea Xeg 12 VI R Xm Figure (1) Equivalent Circuit of Transformer for Problem 3 ll
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