The nameplate on a 25-MVA, 60-Hz single-phase transformer indicates that it has a voltage rating of 8.0-kV:78-kV. A short-circuit test from the high-voltage side (low-voltage winding short circuited) gives readings of 4.53 kV, 321 A, and 77.5 kW. An open-circuit test is conducted from the low-voltage side and the corresponding instrument readings are 8.0 kV, 39.6 A, and 86.2 kW. (a) Calculate the equivalent series impedance of the transformer as referred to the high-voltage terminals. (b) Calculate the equivalent series impedance of the transformer as referred to the low-voltage terminals. (c) Making appropriate approximations, draw a T equivalent circuit for the transformer. (d) Determine the efficiency of the transformer if it is supplying rated load (unity power factor) at rated voltage at its low-voltage terminals. Use the open-circuit and short-circuit measurements for the computation of the total power losses

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 3.56P: Three single-phase two-winding transformers, each rated 3kVA,220/110volts,60Hz, with a 0.10 per-unit...
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The nameplate on a 25-MVA, 60-Hz single-phase transformer indicates that it has a voltage rating of 8.0-kV:78-kV. A short-circuit test from the high-voltage side (low-voltage winding short
circuited) gives readings of 4.53 kV, 321 A, and 77.5 kW. An open-circuit test is conducted from
the low-voltage side and the corresponding instrument readings are 8.0 kV, 39.6 A, and 86.2 kW.

(a) Calculate the equivalent series impedance of the transformer as referred to the high-voltage
terminals.
(b) Calculate the equivalent series impedance of the transformer as referred to the low-voltage
terminals.
(c) Making appropriate approximations, draw a T equivalent circuit for the transformer.
(d) Determine the efficiency of the transformer if it is supplying rated load (unity power factor)
at rated voltage at its low-voltage terminals. Use the open-circuit and short-circuit measurements for the computation of the total power losses

Expert Solution
Step 1 Introduction
  • The transformer is a static device that transfers power from one circuit to another circuit without a change in frequency.
  • As the transformer does not change the frequency of the system, it can be treated as a constant frequency device.
  • As a transformer transfers almost the same amount of power from one circuit to another circuit, it can be treated as a constant power device.

 

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