A three-phase, eight-pole, 60-Hz, 4160-V, 1250-kW squirrel-cage induction motor has the following equivalent-circuit parameters in ohms-per-phase-Y referred to the stator: R1 = 0.212 R2 = 0.348 X1 = 1.87 X2 = 2.27 Xm = 44.6. It is operating from a field-oriented drive system at a speed of 805r/min and a power output of 1050 kW. The field-oriented controller is set to maintain the rotor flux linkages λDR equal to the machine's rated peak flux linkages.

a. Calculate the motor rms line-to-line terminal voltage, rms armature current and electrical frequency.

b. Show that steady-state induction-motor equivalent circuit and corresponding calculations of Chapter 6 give the same output power and terminal current when the induction motor speed is 828 r/min and the terminal voltage and frequency are equal to those found in part (a).