Chapter 3, Problem 3.44P

A $\text{130-MVA,}\text{13}\text{.2-kV}$ three-phase generator, which has a positive-sequence reactance of 1.5 per unit on the generator base, is connected to a $\text{135-MVA,}\text{13}\text{.2}\Delta \text{/115}\text{Y-kV}$ step-up transformer with a series impedance of (0.005+10.1) 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 MW at unity power factor and at 115 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.