A single-phase, two-winding transformer is rated 20 kVA, 480/120 volts, 60 Hz. The transformer equivalent resistance and reactance referred to the high voltage side are 0.1728 and 0.84 ohms, respectively. The transformer core loss at rated voltage is 200 W. When the transformer is loaded by half the rated load at 0.8 pf lagging and rated load voltage, the copper losses was found to be 75 W. a) Draw the transformer equivalent circuit referred to the HV side and draw its phasor diagram for the given load condition. b) Determine the transformer voltage regulation and efficiency at half load and 0.8 pf lagging. c) Determine the necessary load to be added in parallel to the original load (given above) to obtain maximum efficiency while making the system power factor equals to 0.9 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 3.14P: A single-phase 50-kVA,2400/240-volt,60-Hz distribution transformer is used as a step-down...
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A single-phase, two-winding transformer is rated 20 kVA, 480/120 volts, 60 Hz. The transformer
equivalent resistance and reactance referred to the high voltage side are 0.1728 and 0.84 ohms,
respectively. The transformer core loss at rated voltage is 200 W. When the transformer is loaded
by half the rated load at 0.8 pf lagging and rated load voltage, the copper losses was found to be
75 W.
a) Draw the transformer equivalent circult referred to the HV side and draw its phasor
diagram for the given load condition.
b) Determine the transformer voltage regulation and efficiency at half load and 0.8 pf lagging.
c) Determine the necessary load to be added in parallel to the original load (given above) to
obtain maximum efficiency while making the system power factor equals to 0.9 lagging.
Transcribed Image Text:A single-phase, two-winding transformer is rated 20 kVA, 480/120 volts, 60 Hz. The transformer equivalent resistance and reactance referred to the high voltage side are 0.1728 and 0.84 ohms, respectively. The transformer core loss at rated voltage is 200 W. When the transformer is loaded by half the rated load at 0.8 pf lagging and rated load voltage, the copper losses was found to be 75 W. a) Draw the transformer equivalent circult referred to the HV side and draw its phasor diagram for the given load condition. b) Determine the transformer voltage regulation and efficiency at half load and 0.8 pf lagging. c) Determine the necessary load to be added in parallel to the original load (given above) to obtain maximum efficiency while making the system power factor equals to 0.9 lagging.
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