A two-winding transformer rated at 100 kVA, is connected as an autotransformer to provide 10kV from a 15kV supply. Calculate the new rated kVA output.

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 3.57P: A two-winding single-phase transformer rated 60kVA,240/1200V,60Hz, has an efficiency of 0.96 when...
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A two-winding transformer rated at 100 kVA, is connected as an autotransformer to provide 10kV from a 15kV supply. Calculate the new rated kVA output.

consider the power transformer mode and calculate the related currents

Where,

Vp = 10000V
Ip = S/(√3Vp)

Is = S/(√3Vs)

When find the new currents and voltages  proceed to find the primary and secondary powers of the autotransformer. And conclude the rating of the autotransformer.

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