A 23 kVA, 2300/230 V, 60 Hz, step-down transformer has the following resistances and reactances:  R1=4Ω, R2=0.04Ω, X1= 12Ω, X2 =0.12Ω, RC1=20 kΩ and XM1 = 15kΩ  The transformer is operating at 75% of rated load. If the power factor is 0.866 leading, determine the efficiency of the transformer using the approximate circuit referred to the primary side. 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 3.10P: A single-phase step-down transformer is rated 13MVA,66kV/11.5kV. With the 11.5 kV winding...
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A 23 kVA, 2300/230 V, 60 Hz, step-down
transformer has the following resistances and
reactances:
 R1=4Ω, R2=0.04Ω, X1= 12Ω, X2 =0.12Ω,
RC1=20 kΩ and XM1 = 15kΩ
 The transformer is operating at 75% of rated
load. If the power factor is 0.866 leading,
determine the efficiency of the transformer
using the approximate circuit referred to the
primary side. Also sketch its phasor diagram.

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