A three phase, Y connected, 380 V₁-1, 50 Hz, four pole induction motor has the following equivalent circuit parameters inohms per phase referred to the stator:R₁ = 0.11, R₂ = 0.23, X₁ = 1.1, X₂ = 1.1, Xm = 25.4. For the slip of 4%,a) Calculate speed of the rotor flux with respect to rotor bars and frequency of the current induced in the rotor barsb) Calculate input power.Calculate shaft torque (induced torque).Assume that the load torque equals induced torque found in part (c) and is constant at all speeds,d) Can this motor self-start, why?e)Voltage control is applied to the motor to reduce the speed of the motor to 1000 rpm. Find the required stator voltage valueto rotate the rotor at this speed.

Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

A three phase, Y connected, 380 V, 50 Hz, four pole induction motor has the following equivalent circuit parameters in ohms per phase referred to the stator: R₁ = 0.11, R₂ = 0.23, X₁ = 1.1, X₂ = 1.1, Xm = 25.4. For the slip of 4%, a) Calculate speed of the rotor flux with respect to rotor bars and frequency of the current induced in the rotor bars b) Calculate input power. c) Calculate shaft torque (induced torque). Assume that the load torque equals induced torque found in part (c) and is constant at all speeds,

A three phase, Y connected, 380 V, 50 Hz, four pole induction motor has the following equivalent circuit parameters in ohms per phase referred to the stator: R₁ = 0.11, R₂ = 0.23, X₁ = 1.1, X₂ = 1.1, Xm = 25.4. For the slip of 4%, a) Calculate speed of the rotor flux with respect to rotor bars and frequency of the current induced in the rotor bars b) Calculate input power. c) Calculate shaft torque (induced torque). Assume that the load torque equals induced torque found in part (c) and is constant at all speeds,

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter35: Harmonics 916

Section: Chapter Questions

Problem 3RQ: Would a positive-rotating harmonic or a negative-rotating harmonic be more harmful to an induction...

See similar textbooks

Similar questions

Name three factors that determine the torque produced by an induction motor.
3. What are the various losses in an induction motor? On whatfactors do they depend?
Choose True (V) or false( x) for the following : 4) Reluctance is a measure of "opposition" the magnetic circuit offers to the flux. 5) The rated output power (transformer rating) can be used to determine the turns ratio of the transformer. 6) With the increase in speed of a series DC motor, Both back emf as well as line current increase. 7) When an induction motor is stationary, the stator and rotor windings form the equivalent of a transformer. 8) Increasing the load current for DC Self-excited generator Shunt-Wound Generator will increase the terminal voltage. 9) In lap windings there are as many paths in parallel and used to produce high current, low voltage output. 10) In 3-pahse induction motor, if the rotor speed increases, the rate at which the rotating magnetic field cuts the rotor bars is increasing.
a) The figure below shows the per-phase equivalent circuit of a two- pole three-phase induction motor operating at 50 Hz. The voltage (E1) across the magnetizing inductance is 210 V, and the slip (s) is 0.05. What is the developed torque produced by the motor ? 0.04 0 j0.22 0 j0.22 0 0.05 V j6.28 NE E1
a) The figure below shows the per-phase equivalent circuit of a two- pole three-phase induction motor operating at 50 Hz. The voltage (E1) across the magnetizing inductance is 210 V, and the slip (s) is 0.05. What is the developed torque produced by the motor ? 0.04 n j0.22 0 j0.22 0 j6.28 N E1 0.05 0
6. Home Works: a) The figure below shows the per-phase equivalent circuit of a two- pole three-phase induction motor operating at 50 Hz. The voltage (E1) across the magnetizing inductance is 210 V, and the slip (s) is 0.05. What is the developed torque produced by the motor ? 0.04 0 jo.22 Q j0.22 0 j6.28 NE E1 0.05 0
1. The operation of Commutator in DC Motor is * O a) to convert dc to ac O b) to convert ac to dc O c) to convert fixed dc to variable dc O reverse the current direction in the rotating windings each half turn
A 3-0, 50-Hz induction motor with its rotor star-connected gives 500 V (r.m.s.) at standstill between slip-rings on open circuit. Calculate the current and power factor in each phase of the rotor windings at standstill when joined to a star-connected circuit, each limb of which has a resistance of 10 Q and an inductance of 0.03 H. The resistance per phase of the rotor windings is 0.2 Q and inductance 0.03 H. Calculate also the current and power factor in each rotor phase when the rings are short- circuited and the motor is running with a slip of 4 per cent. [13.6 A, 0.48; 27.0 A, 0.47] (London University) A 4-pole, 50-Hz, 3-phase induction motor has a slip-ring rotor with a resistance and standstill reactance of 0.04 2 and 0.2 2 per phase respectively. Find the amount of resistance to be inserted in each rotor phase to obtain full-load torque at starting. What will be the approximate power factor in the rotor at this instant ? The slip at full-load is 3 per cent. [0.084 2, 0.516 p.f.]…
A three-phase induction motor operates at a slip of 3% and has a rotor copper loss of 300W. The rotational loss is 1500W. Determine (a) the airgap power and (b) the power output.
What are the various losses in an induction motor? On what factors do they depend? IV. V. List the different types of stray load losses in an induction motor.
Problem #2: A 3-phase induction motor has a star-connected rotor. The rotor emf (between slip rings) at standstill is 50 V. The rotor resistance and standstill reactance are 0.5 and 3 2, respectively. Find rotor current per phase (a) at starting with the slip rings short circuited (b) at starting with a star-connected rheostat of resistance 6 ohms per phase connected across the slip rings. (c) if the motor is running at a slip of 4%.
6. Home Works: a) The figure below shows the per-phase equivalent circuit of a two- pole three-phase induction motor operating at 50 Hz. The voltage (E1) across the magnetizing inductance is 210 V, and the slip (s) is 0.05. What is the developed torque produced by the motor ? 0.04 N jo.22 Q j0.22 0 0.05 0 j6.28 NE E1 V