Assume that a single-phase, two-winding transformer has a core loss of 1500 W. The secondary (i.e. output) voltage is 480 V and the output power is 40 kW at a 0.8 leading power factor. If the transformer's secondary and primary winding resistances are 0.032 and 0.06N seen from the secondary side, respectively. Assume the secondary voltage is the reference phasor, use the cantilever circuit with the magnetizing branch at the secondary side to determine the following: (a) The output current phasor. (b) Find the core loss resistance in 2 seen from the secondary side. (c) If the magnetizing branch consumes 1600 Var, while the leakage inductance consumes 1000 Var, determine i. the total leakage inductance in 2 seen from the secondary side; ii. The input active power; iii. The transformer efficiency.

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 3.51P: The ratings of a three-phase three-winding transformer are Primary(1): Y connected 66kV,15MVA...
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Assume that a single-phase, two-winding transformer has a core loss of 1500 W.
The secondary (i.e. output) voltage is 480 V and the output power is 40 kW at a 0.8
leading power factor. If the transformer's secondary and primary winding resistances
are 0.032 and 0.062 seen from the secondary side, respectively. Assume the secondary
voltage is the reference phasor, use the cantilever circuit with the magnetizing branch at
the secondary side to determine the following:
(a) The output current phasor.
(b) Find the core loss resistance in N seen from the secondary side.
(c) If the magnetizing branch consumes 1600 Var, while the leakage inductance consumes
1000 Var, determine
i. the total leakage inductance in N seen from the secondary side;
ii. The input active power;
iii. The transformer efficiency.
Transcribed Image Text:Assume that a single-phase, two-winding transformer has a core loss of 1500 W. The secondary (i.e. output) voltage is 480 V and the output power is 40 kW at a 0.8 leading power factor. If the transformer's secondary and primary winding resistances are 0.032 and 0.062 seen from the secondary side, respectively. Assume the secondary voltage is the reference phasor, use the cantilever circuit with the magnetizing branch at the secondary side to determine the following: (a) The output current phasor. (b) Find the core loss resistance in N seen from the secondary side. (c) If the magnetizing branch consumes 1600 Var, while the leakage inductance consumes 1000 Var, determine i. the total leakage inductance in N seen from the secondary side; ii. The input active power; iii. The transformer efficiency.
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