A 50-kVA 13.8-kV/208-V (rms, line-line) ∆ − Y three-phase distribution transformer has a per unit resistance of 1 percent and a per-unit reactance of 0.07 pu. Neglect the excitation branch elements, and answer the following questions. (a) What is the transformer’s phase impedance referred to the high-voltage side? Calculate it in Ω. (b) Calculate this transformer’s voltage regulation using the calculated high-side impedance in Ω if it supplies a full load at 0.866 PF lagging. (c) Calculate this transformer’s voltage regulation under the same conditions, using the per-unit system. (d) Calculate this transformer’s efficiency in percent if it supplies a full load at 0.866 PF lagging.

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 3.4P: A single-phase 100-kVA,2400/240-volt,60-Hz distribution transformer is used as a step-down...
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A 50-kVA 13.8-kV/208-V (rms, line-line) ∆ − Y three-phase distribution transformer has a per unit resistance of 1 percent and a per-unit reactance of 0.07 pu. Neglect the excitation branch elements, and answer the following questions.

(a) What is the transformer’s phase impedance referred to the high-voltage side? Calculate it in Ω.

(b) Calculate this transformer’s voltage regulation using the calculated high-side impedance in Ω if it supplies a full load at 0.866 PF lagging.

(c) Calculate this transformer’s voltage regulation under the same conditions, using the per-unit system.

(d) Calculate this transformer’s efficiency in percent if it supplies a full load at 0.866 PF lagging.

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