(b) A 130 kVA, 2300:230 V, 50 Hz, single-phase transformer has the following parameters: Resistance of the primary (high-voltage) winding: Resistance of the secondary (low-voltage) winding: Leakage reactance of the primary (high-voltage) winding: Leakage reactance of the secondary (low-voltage) winding: Core loss resistance (referred to the primary): Magnetising reactance (referred to the primary): R₁ = 0.35 Ω R₂ = 0.0035 2 X₁ = 0.55 X₂ = 0.0055 2 Rc = 9 kN Xm = 2.1 ΚΩ The transformer is delivering full (rated) load at a rated secondary voltage of 230 V and 0.82 power factor lagging. (i) Draw the equivalent-T circuit of the transformer with component values referred to the primary (high-voltage) side. Make sure clearly label all component values. (ii) Calculate the phasor load current 72, referred to the primary. (iii) Calculate the phasor exciting current, T. (iv) Calculate the magnitude of the primary voltage, |V1|.

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 3.16P: A single-phase, 50-kVA,2400/240-V,60-Hz distribution transformer has the following parameters:...
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(b) A 130 kVA, 2300:230 V, 50 Hz, single-phase transformer has the following parameters:
Resistance of the primary (high-voltage) winding:
Resistance of the secondary (low-voltage) winding:
Leakage reactance of the primary (high-voltage) winding:
Leakage reactance of the secondary (low-voltage) winding:
Core loss resistance (referred to the primary):
Magnetising reactance (referred to the primary):
R₁
=
0.35 Ω
R₂ = 0.0035 2
X₁ = 0.55
X₂ = 0.0055 2
Rc = 9 kN
Xm
=
2.1 ΚΩ
The transformer is delivering full (rated) load at a rated secondary voltage of 230 V and
0.82 power factor lagging.
(i) Draw the equivalent-T circuit of the transformer with component values referred
to the primary (high-voltage) side. Make sure clearly label all component values.
(ii) Calculate the phasor load current 72, referred to the primary.
(iii) Calculate the phasor exciting current, T.
(iv) Calculate the magnitude of the primary voltage, |V1|.
Transcribed Image Text:(b) A 130 kVA, 2300:230 V, 50 Hz, single-phase transformer has the following parameters: Resistance of the primary (high-voltage) winding: Resistance of the secondary (low-voltage) winding: Leakage reactance of the primary (high-voltage) winding: Leakage reactance of the secondary (low-voltage) winding: Core loss resistance (referred to the primary): Magnetising reactance (referred to the primary): R₁ = 0.35 Ω R₂ = 0.0035 2 X₁ = 0.55 X₂ = 0.0055 2 Rc = 9 kN Xm = 2.1 ΚΩ The transformer is delivering full (rated) load at a rated secondary voltage of 230 V and 0.82 power factor lagging. (i) Draw the equivalent-T circuit of the transformer with component values referred to the primary (high-voltage) side. Make sure clearly label all component values. (ii) Calculate the phasor load current 72, referred to the primary. (iii) Calculate the phasor exciting current, T. (iv) Calculate the magnitude of the primary voltage, |V1|.
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