Question: A three-phase (138 mathrm{kV} Delta / 13.8 mathrm{kV} mathrm{Y}) distribution substation transformer rated (40 mathrm{MVA}) OA/50 MVA FA/65MVA FOA has an 9% impedance. (a) Determine

A three-phase $138 \mathrm{kV} \Delta / 13.8 \mathrm{kV} \mathrm{Y}$ distribution substation transformer rated $40 \mathrm{MVA}$ OA/50 MVA FA/65MVA FOA has an 9\% impedance.

(a) Determine the rated current on the primary distribution side of the transformer at its OA, FA, and FOA ratings.

(b) Determine the per-unit transformer impedance using a system base of $100 \mathrm{MVA}$ and $13.8 \mathrm{kV}$ on the primary distribution side of the transformer.

(c) Calculate the shortcircuit current on the primary distribution side of the transformer for a three-phase bolted fault on the primary distribution side. Assume that the prefault voltage is $13.8 \mathrm{kV}$.

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