Transformer Formulas





Single Phase Transformer Full-Load Current (Amps)= kVA × 1000 / V

Three Phase Transformer Full-Load Current (Amps) = kVA × 1000 / (1.732 × V)

Where:

kVA = transformer rating (kilovolt-amperes),

V = voltage (volts).



 

Turns Ratio = N1 / N2 = V1 / V2 = I2 / I1

Where:

N1 = number of turns on the primary,

N2 = number of turns on the secondary,

V1 = primary voltage,

V2 = secondary voltage,

I1 = primary current,

I2 = secondary current.

 

Example: A 50 kVA single-phase transformer has a 4000 V primary, and a 400 V secondary. Assuming an ideal transformer, determine (a) the primary and secondary full-load currents, (b) the transformer turns ratio.

a) V1 = 4000 V, V2 = 400 V,

Transformer Rating = 50 kVA = V1 × I1 = V2 × I2

Primary full-load current, I1 = (50 × 1000 / 4000) = 12.5 A

Secondary full-load current, I2 = (50 × 1000 / 400) = 125 A

b) Turns Ratio = N1 / N2 = V1 / V2 = (4000 / 400) = 10







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