A 30, 25 kVA, 380-V, 60-Hz induction motor is fed by a 30, 40-kVA, 2.2-kV synchronous generator (SG) through the line (cable) and Y-Y transformer shown in the figure below. The transformer ratings are 30 kVA and 2200/380 V. The cable has a reactance of 0.15 and negligible resistance. The motor's power factor (PF) varies from 0.2 lagging at no load to 0.85 lagging at full load and can be given by PF 0.65x + 0.2, where x is the loading factor. 40 kVA 2.2 kV SG 30 kVA 2200/380 V TOOT X=0.150 moo IM The transformer has the following characteristics: Open circuit test: Poc = 300 W, Voc = 380 V (line-to-line), loc = 2.28 A. Short-circuit test: Psc = 600 W, Vsc = 150 V (line-to-line), Isc = 7.87 A. Write a computer program to study the variation of the transformer efficiency and voltage regulation with the motor's kVA and PF. The program should plot a figure of efficiency versus %kVA (or loading factor) for when the PF varies from 0.2 to 0.85 lagging, and a figure of the voltage regulation versus the power factor at the rated load when the PF varies from 0.2 to 0.85 lagging.