A 6-pole, 3 phase, 50 Hz induction motor runs at 750 rev/min at full load. Calculate i. the synchronous speed the slip the frequency of the rotor 11. II.
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- Name three factors that determine the torque produced by an induction motor.A three phase, 4 pole, 3300 V, 50 Hz, star connected Induction motor, has identical primary and referred secondary impedance of value 3+j9 Ohm per phase. Using the approximate circuit, calculate: A. The full load torque at rated slip of 5%. B. The maximum torque at normal voltage and frequency.The rotor resistance and standstill reactance of a 3-phase induction motor are respectively 0.015 ohmsand 0.09 ohms / phase. At normal voltage, the full-load torque at the full-load speed. b.) Calculate thepower factor.
- A four-pole, single-phase, 120 V, 60 Hz induction motor gave the following standstill impedances when tested at rated frequency:Main winding : Zm =1.5+j4 ohmsAuxiliary winding : Za =3+j6 ohmsa) Determine the value of external resistance to be inserted in series with the auxiliary winding to obtain maximum starting torque as a resistor split-phase motor.b) Determine the value of the capacitor to be inserted in series with the auxiliary winding to obtain maximum starting torque as a capacitor-start motor.c) Determine the value of the capacitor to be inserted in series with the auxiliary winding to obtain maximum starting torque per ampere of the starting current as a capacitor-start motor.d) Compare the starting torques and starting currents in parts (a), (b), and (c) expressed as per unit of the starting torque without any external element in the auxiliary circuit, when operated at 120V, 60Hz.A 110-V, 50-Hz single phase induction motor (split -phase) has the following constants for the main and auxiliary windings: Main winding, Zm (1.2 +j 25) ohm and auxiliary winding, Z,= (12+j 5) ohm. Determine (i) total current and power factor currents at time of starting, and (ii) phase angle between the main winding current and starting winding current.A three-phase, 50 Hz, four poles induction motor runs at a no-load speed of 1350 r/min and full-load speed is 1200 r/min.(i)Calculate the slip of the rotor at no-load and full-load conditions.(ii)Based on previous question results, calculate the electrical frequency of the rotor at no-load and full-load conditions.(iii)Calculate the speed regulation of this motor
- A 3-phase induction motor has a rotor resitance and standstill reactance of 0.1 ohm and 3.5 ohms per phase respectively. The rotor emf at a standstills is 60 volts per phase, for slip of 5% what is the power developed?3-phase 3730W, 220V, 6-pole and 50 Hz induction motor operates at full load with a slip of 0.025. The sum of the rotational losses including friction + windage losses and other (stray load) losses is 5% of the output power. Find the induced (electromagnetic) moment at full loadThe full-load slip of 4-pole,60Hz,440v (line -to-line) three phase induction motor is 0.05. i.What is the speed of the rotating stator field?What is the frequencey (in Hz) of the rotor current. ii.When the output power of the motor is 90 hp at a speed of 1732rpm,rotational losses(which includes frictional and core losses) are 10,100W,while copper losses for both rotor and stator total 3700W.Determine the motor efficiency and line current,assuming the motor has a 0.8 pf lagging under these conditions.
- A three phase induction motor with supply frequency of 60 Hz, 8 poles. If the slip is 2.5 % at a certain load, determine (a) the synchronous speed, (b) the speed of the rotor (c) the frequency of the induced e.m.f in he rotor and (d) speed of the induction motor if the slip changes to 6 %For a squirrel-cage rotor induction motor with V1Ln= 692 [V], 11[kW], 50[Hz], power factor= 0.872, 3-phase, 2-pole, star-connected on the nameplate: in the idle run test: power draw is 200 [W], idle (current) angle theta0=80 [degrees back], phase-to-phase voltage V1Ln [v] In the short circuit (locked rotor) test: absorbed power 850[W], short circuit (current) angle theta sc=70 [degrees back], phase-to-phase value of short-circuit voltage 0.1*V1Ln[V] measured. Find the following approximate equivalent circuit parameters reduced to the stator. A) Rc [ohm] B) Xm [ohm] C) Req [ohm] D) Xeq [ohm]3-phase induction motor is wound for 8-pole and is supplied from 50 Hz system calculate (1) the synchronous speed, (ii) the speed of the motor when slip is 8% and (iii) the rotor current frequency when the motor runs at 1200 r.p.m.