A single-phase transformer has 480 turns on the primary and 90 turns on the secondary. The mean length of the flux path in the core is 1.8 m and the joints are equivalent to an airgap of  0.1 mm. The value of the magnetic field strength for 1.1 T in the core is 400 A/m, the  corresponding core loss is 1.7 W/kg at 50 Hz and the density of the core is 7800 kg/m3. If the  maximum value of the flux density is to be 1.1 T when a p.d. of 2200 V at 50 Hz is applied to  the primary, calculate:  a. the cross-sectional area of the core; b. the secondary voltage on no load; c. the primary current and power factor on no load

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 3.9P
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A single-phase transformer has 480 turns on the primary and 90 turns on the secondary. The mean length of the flux path in the core is 1.8 m and the joints are equivalent to an airgap of  0.1 mm. The value of the magnetic field strength for 1.1 T in the core is 400 A/m, the  corresponding core loss is 1.7 W/kg at 50 Hz and the density of the core is 7800 kg/m3. If the  maximum value of the flux density is to be 1.1 T when a p.d. of 2200 V at 50 Hz is applied to  the primary, calculate: 

a. the cross-sectional area of the core;

b. the secondary voltage on no load;

c. the primary current and power factor on no load

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