The figure represents the equivalent circuit of a single-phase transformer, if after doing the respective tests the following values have been obtained: R1 = R'2 = 0.08 Q X1 = X'2 = 0.2 Q Re = 1000 Q; Xm = 400 Q. It is supplied to the load Z' at 240 V, 6 kVA, with a power factor of 0.85 lagging at nominal voltage. Assuming the output voltage as reference to V'2 = 240 / 0°. Calculate: a) The voltage V1 b) current 1 c) the input power factor.

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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The figure represents the equivalent circuit of a single-phase transformer, if
after doing the respective tests the following values have been obtained:
R1 = R'2 = 0.08 Q X1 = X'2 = 0.20 Re = 1000 Q; Xm = 400 Q.
It is supplied to the load Z' at 240 V, 6 kVA, with a power factor of 0.85 lagging
at nominal voltage. Assuming the output voltage as reference to V'2 = 240 / 0°.
Calculate: a) The voltage V1
b) current 1
c) the input power factor.
d) Calculate the efficiency of the circuit
e) Calculate the apparent, active and reactive power of the load
f) Draw the phasor diagram of the voltages and currents
R, X1
R'2 X'2
/10
IFe
= E'2
V'2
Re
Xm
Transcribed Image Text:The figure represents the equivalent circuit of a single-phase transformer, if after doing the respective tests the following values have been obtained: R1 = R'2 = 0.08 Q X1 = X'2 = 0.20 Re = 1000 Q; Xm = 400 Q. It is supplied to the load Z' at 240 V, 6 kVA, with a power factor of 0.85 lagging at nominal voltage. Assuming the output voltage as reference to V'2 = 240 / 0°. Calculate: a) The voltage V1 b) current 1 c) the input power factor. d) Calculate the efficiency of the circuit e) Calculate the apparent, active and reactive power of the load f) Draw the phasor diagram of the voltages and currents R, X1 R'2 X'2 /10 IFe = E'2 V'2 Re Xm
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