A 130-MVA, 13.2-kV three-phase generator, which has a positivesequence reactance of 1.5 per unit on the generator base, is connected to a 135-MVA, \(13.2 \Delta / 115 \mathrm{Y}-\mathrm{kV}\) step-up transformer with a series impedance of \((0.005+j 0.1)\) per unit on its own base.

(a) Calculate the per-unit generator reactance on the transformer base.

(b) The load at the transformer terminals is \(15 \mathrm{MW}\) at unity power factor and at \(115 \mathrm{kV}\). Choosing the transformer high-side voltage as the reference phasor, draw a phasor diagram for this condition.

(c) For the condition of part (b), find the transformer low-side voltage and the generator internal voltage behind its reactance. Also compute the generator output power and power factor.