A 480V, 3-phase, 50Hz 6-pole Induction motor with a rated power of 10KVA.(i) Calculate the synchronous speed in rad/sec (ws)(ii) Determine the rotor speed in rpm, if the % slip is 2.5%

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Answered: A 480V, 3-phase, 50Hz 6-pole Induction…

Understanding Motor Controls

4th Edition

ISBN:9781337798686

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter31: Wound Rotor Motors

Section: Chapter Questions

Problem 5RQ

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A 50 Hz pump drive requires a torque of 70 Nm approx. at 1450 rpm approx. for 1 minute followed by 5 minutes running unloaded. This cyclic pattern is repeated continuously. The motor is to be selected from a range of general-purpose motors with continuous ratings of 2.2, 3, 4, 5.5, 7.5, 11, 15 and 20 kW. The motors have a pull-out torque of 200%. 1. Select the pole number. 2. Calculate the continuous power rating. 3. 4. Calculate the required power rating given the pull out torque rating. Estimate the slip when the motor drives the pump at the required speed. Choose the motor from the range of options that is most fit for purpose. 5. Enter your answers in the units indicated (without unit symbols) corrected if necessary to two decimal places. Answer: Number of poles= ✓ Continuous power rating (kW)= Required power rating for 200% pull out torque (kW)= Percentage slip (%) = Most suitable motor from given range (kW)-
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QUESTION 8 Consider the equations of motion of an armature controlled DC motor given by Jw(t)+bw (t) Ki(t) = -Tfriction - Tload (t) di (t) + Ri (t) + Kw (t) = Vin (t), dt where vin(t) is the input voltage and Tload(t) is the input load torque. The outputs are the armature current i(t) and the motor speed w(t). The steady-state response of motors are specified by nominal voltage, stall torque, stall current, no load speed, and no load current. At steady-state operation, the motor equations satisfy bo) -Ki =-T -T. fric load Ri +Kov_- 55 55 The stall torque is the load torque required stead-state speed of the motor is zero. The stall current is the armature current when the motor speed is zero. The no load speed is the speed of motor when the load torque is zero. The no load current is the current when the load torque is zero. What is stall torque for this motor in N-m? Keep 3 significant figures, and do not include units. Use Scientific notation. The constants are given below. Nominal…
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Example 34.2. The stator of a 3-0 induction motor has 3 slots per pole per phase. If supply Jrequency is 50 Hz, calculate (i) number of stator poles produced and total number of slots on the stator (i) speed of the rotating stator flux (or magnetic field).

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A 480V, 3-phase, 50Hz 6-pole Induction motor with a rated power of 10KVA. (i) Calculate the synchronous speed in rad/sec (@s) (ii) Determine the rotor speed in rpm, if the % slip is 2.5%