A star-connected squirrel cage induction motor has the following parameters and rating: Rs = 2 ohm, Rr¹ = 3 ohm, Xs = Xr' = 3.5 ohm, V = 400V, 50 Hz, 1,380 rpm. It is driven by voltage source inverter which gives constant V/f control to induction motor. If the inverter frequency is variable from 10% of the rated frequency to base frequency. Calculate: (a) Frequency for a speed of 1,000 rpm and full-load torque. (b) Torque for a frequency of 35 Hz and speed of 950 rpm.

(c) A four-pole, three-phase 415 V, 50 Hz induction motor has a rated rotor speed at 1445 rpm. The motor is connected to a constant torque load. (i) Sketch the IEEE recommended per-phase equivalent circuit for the three- phase induction motor. Label all the key components clearly. (ii) Determine the motor's synchronous speed in rpm, the motor's slip, and the frequency of the rotor current in Hertz.. (iii) If the operating frequency of the motor reduced to 40 Hz and the synchronous and rotor speed difference (n.- n,) is maintained at 55 rpm, determine the new motor's synchronous speed and rotor speed.

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The parameters of a three-phase, 50 Hz, 6-pole, 400 V star connected induction motor are r1 = 0.3 ohm, x1 = 0.5 ohm, r’2 = 0.15 ohm and x’2 = 0.2 ohm. The voltage and frequency of the induction motor is controlled by a power electronic converter (inverter). Calculate the required inverter output frequency and voltage to drive the induction motor load at 0.2 the rated speed of the motor and calculate the current drawn by the motor for that case. The formula for the maximum slip is given below:

Q19. When the magnetic flux per pole of an induction motor is kept constant, can we achieve higher breakdown torque by changing the inverter's fundamental frequency of the output voltage? Give your explanation.

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