The frequency of emf in the stator of a 4 pole, 3 phase induction motor is 50 Hz and that in the is 1.5 Hz. Determine (i) the slip and (ii) speed of the motor.
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- 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.A 3-phase 9-pole,50Hz, star connected induction motor has an emf 520 V(L-L). The stator winding has a synchronous reactance of 2.5 Ohms/phase. Induction machine operates at rated voltage and at a leading power factor of 0.85. Shaft power is 15 Kw and the excitation emf is 500 V. (a). Determine the load angle, armature current in per unit and the power factor of the alternator. (b). The alternator is now made to operate at another value of excitation emf which results in the same values of power output and armature current. Under these conditions, find the excitation voltage, load angle and the power factor. (c) If the excitation in (a) and that obtained in (b), which is more likely to be used in practical situations and and why? (d) With the alternator output remaining constant, the alternator excitation is increased by 15%. Find the new values of armature current, load angle and pf? (e) Calculate the total steam output of the alternator delivered to the prime mover? (f) Draw the…The full load slip of a 4-pole, 60Hz, 440V (line-to-line) three phase induction motor is 0.05. (i). What is the speed of the rotating stating? What is the frequency (in Hz) of the rotor current? (ii). When the output power of the motor is 90 hp at a speed of 1732 rmp, rotational losses (which include frictional and core losses) are 10,100W, while copper losses for both the rotor and stator total 3700W. Determine the motor efficiency and line current, assuming the motor has a 0.8pf lagging under the conditions.
- A three-phase induction motor, operating at rated voltage and frequency, has a startingtorque of 1.35 times and a maximum torque of 2.2 times, both with respect to its rated-loadtorque. Ignoring the effects of the stator resistance and rotational losses and assumingconstant rotor resistance, determine the slip at the maximum torque;(b) A three phase, 5-hp, 60Hz, 115V, 4-pole induction motor is operating at rated voltage, rated frequency, and 125 percent rated load has an efficiency of 85.4 percent. The stator conductor loss, rotor copper loss and core loss are 223.2W, 153W, and 114.8W respectively. Sketch the power flow diagram, enter the given data, and determine i) shaft speed ii) shaft torqueA 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.
- In one or two paragraphs, describe the construction and principles of operation for a sixpole 60-Hz three-phase synchronous motor.A 3-phase, 6-pole induction motor is rated 400Hz, 150V, 10hp, 3% slip at rated power output. The windage and friction loss is 200W at rated speed. With the motor operating at rated voltage, frequency, slip, and power output, determine the output torque.A synchronous motor has a synchronous reactance of 0.8 pu and a transient reactance of 0.25 pu. The motor is connected to an infinite bus. The field current is adjusted such that the unloaded motor draws half the rated current at zero power factor lagging. With the field current left unchanged find the following: a) Find the maximum per-unit torque that can be applied gradually without losing synchronism b) Find the maximum per-unit torque that can be applied suddenly without losing synchronism.
- A three-phase induction motor is rated at 5 hp, 1760 rpm, with a line-to-line voltage of 220 Vrms. The no-load speed of the motor is 1800 rpm. Determine the percentage speed regulation.A three phase, 5-hp, 60Hz, 115V, 4-pole induction motor is operating at rated voltage, rated frequency, and 125 percent rated load has an efficiency of 85.4 percent. The stator conductor loss, rotor copper loss and core loss are 223.2W, 153W, and 114.8W respectively. Sketch the power flow diagram, enter the given data, and determine i) shaft speed ii) shaft torqueA three phase, 5-hp, 60Hz, 115V, 4-pole induction motor is operating at rated voltage, rated frequency, and 125 percent rated load has an efficiency of 85.4 percent. The stator conductor loss, rotor copper loss and core loss are 223.2W, 153W, and 114.8W respectively.Sketch the power flow diagram, enter the given data, and determine i) shaft speed ii) shaft torque