Question

A single-phase transformer is rated at 112.5kVA,480:240 V,60 Hz.,3.25%Z, with an X/R ratio of 10; the transformer is known to have 500 turns on the secondary. If the transformer is supplied from an infinite-bus source, delivering rated power at a power factor of 0.85 , lagging, determine the following:

The full load secondary current in polar format.

Answer 1

The full load secondary current in a single-phase transformer can be determined using the formula: Secondary Current (I2) = Rated Power (S) / (Primary Voltage (V1) x Power Factor). Given the transformer's specifications, the full load secondary current is approximately 266.83 A in polar format.

Step-by-step explanation:

The full load secondary current in a single-phase transformer can be determined using the formula:

Secondary Current (I2) = Rated Power (S) / (Primary Voltage (V1) x Power Factor)

Given that the transformer is rated at 112.5 kVA, with a primary voltage of 480 V and a power factor of 0.85 lagging, we can calculate:

I2 = 112.5 kVA / (480 V x 0.85) = 266.83 A

The full load secondary current is approximately 266.83 A in polar format.