A 6 pole round rotor 3 phase star connected synchronous machine has the following test results:
Open circuit test: 4000 V line to line at 1000 rev/min, 50 A rotor current
Short circuit test: 300 A at 500 rev/min, 50 A rotor current
Neglect the stator resistance and core losses, and assuming a linear open circuit characteristic, calculate:
(a) the machine synchronous reactance at 50 Hz,
(b) the rotor current required for the machine to operate as a motor at 0.8 power factor leading from a supply of 3.3 kV line to line with an output power of 1000 kW,
(c) the rotor current required for the machine to operate as a generator on an infinite bus of 3.3 kV line to line when delivering 1500 kVA at 0.8 power factor lagging,
(d) the load angle for (b) and (c), and sketch the phasor diagram for (b) and (c).