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SOLVE: In a factory there is a three-phase transformer with the following characteristics: -S = 100...

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In a factory there is a three-phase transformer with the following characteristics:
-S = 100 kVA, 22 / 12.7 kV - D-Y
- Resistance of 0.15 pu and a reactance of 0.6 pu.
-Ram of excitation Rm = 100 pu and Xm = 20 pu.
a) If this transformer supplies an 80 kVA load with an FP = 0.8 lag, draw the phasor diagram of one phase of the transformer.
b) What is the regulation of the transformer bank voltage in these circumstances?
c) Draw the equivalent circuit referred to the low voltage side of a phase of this transformer. Calculate all the transformer impedances relative to the low voltage side.
d) Determine the losses in the transformer and the efficiency of the transformer under the conditions of part b).

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Answer #1

Given S-loo kvm , 22/10.7 (ku) -D-Y Resistance R=0.15 pu Reactanca X = 0.6 PU Ram of excitation Rm =100 pu and Xm = 20 pu a Sa Line Current -phase current 2 Xact xp.ork. = 20 x 222 m Vab = 96.8+ I. = 22x103 usu x103 = 0.045A Iu 22 = 0.22 A 96-8 Il 1,voltaqy regulation 7. R Cos + % *sing = 0.15 X0.8 +0.6x0.6 R = 0.48 Y. © Equivalent circuit refers to Secondary - 22/12 12.7V2 I 2 Cos da Efficiency V2 Iz cos 2 + Losses - 80 x 0.8 80x0.8+1+9.6 72 97.5 %

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