Determine the equivalent winding resistance, Electrical Engineering

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Determine the equivalent winding resistance:

A 50 kVA, 2200/110 V, 50 HZ' transformer contain an HV winding resistance of 0.15 Ω and a leakage reactance of 0.45 Ω. The LV winding contain a resistance of 0.006 Ω and a leakage reactance of 0.012 Ω. Determine the equivalent winding resistance, reactance and impedance referred to the HV and LV sides.

Solution

Z'1 = r1 + j x1 = 0.15 + j 0.45

Z'2  = r2  + j x2  = 0.006 + j 0.012

Z' (HV ) = Z'1 + Z'2

Z'2′ = ( 2200 )2   /110  (0.006 + j 0.012) = (2.4 + j 4.8) Ω

Z'(HV ) = (0.15 + j 0.45) + (2.4 + j 4.8) = (2.55 + j 5.25) Ω

Likewise

Z' (LV ) = Z'1′ + Z'2

= (110 /2200)2  (0.15 + j 0.45) + (0.006 + j 0.012) Ω

= (0.006375 + j 0.01312) Ω


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