A 2.4-kVA, 2400/240-V, 50-Hz, step-down transformer has the following parameters: R, = 1.5 a, X, = 2.5 R, R, = 0.02 a, X, = 0.03 Q, R,, = 6 kR, and X,, = 8 kR. It is operating at 80% of its load at unity power factor. Using the exact equivalent circuit embodying the ideal transformer, determine the efficiency of the transformer. Also sketch its phasor diagram.

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 3.16P: A single-phase, 50-kVA,2400/240-V,60-Hz distribution transformer has the following parameters:...
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A 2.4-kVA, 2400/240-V, 50-Hz, step-down transformer has the following
parameters: R, = 1.5 a, X, = 2.5 R, R, = 0.02 a, X, = 0.03 Q, R,, = 6 kR,
and X,, = 8 kR. It is operating at 80% of its load at unity power factor.
Using the exact equivalent circuit embodying the ideal transformer, determine the efficiency of the transformer. Also sketch its phasor diagram.

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