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Looking for the solution to problem below.Please explain reasonable and please answer correctly. An 8 pole, 460 V, 60 Hz, 897 rpm, induction machine rated
Looking for the solution to problem below.Please explain reasonable and please answer correctly.
An 8 pole, 460 V, 60 Hz, 897 rpm, induction machine rated 373 kW, power factor of 0.73 at full load, is used in a pumped storage facility. Full load efficiency is 95.7 %. It is driven by a regenerative full converter variable frequency motor drive. Parameters, in ohm/phase, referred to the stator (connected in Y) are: R = 0.0040 X1 = 0.071 Xm = 0.71 R2 = 0.0014 X2 = 0.044 Rotational losses (mechanical and core losses) are neglected. 1. Rated operation - performance characteristics calculated from nameplate values (a) Give the synchronous speed for rated frequency. Compute rated slip. Repeat for a 20 Hz operation, assuming the same slip in rpm. (b) Find the motor rated current, input real, reactive and apparent power. Find the rated shaft torque. 2. Rated voltage and frequency - performance based on the 60 Hz equivalent circuit (a) Draw the equivalent circuit of the motor for a 60 Hz operation, showing all values in ohm and pu. Explain the differences in parameter values with a typical transformer. (b) For rated speed, compute the motor current and power factor. Compute the shaft power and torque. Calculate the efficiency. Compare with values in Question 1. 3. Starting characteristics - assume the motor is connected directly to the 60 Hz grid (a) Find the starting torque and current for rated voltage. Assume the rotor resistance is increased by a factor of 5, the rotor reactance reduced by a factor of 5. Compute the ratio of starting current to rated current and the reactive power drawn by the motor. (b) The motor is started at a reduced voltage of 50 % rated voltage. Find the starting current and torque. Compute the ratio of starting current to rated currentStep by Step Solution
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