A three-phase Y-connected VL-440V, 1440 RPM, 4-pole, 50 Hz, induction motorhas the following parameter values per each phase referred to stator.R1=R;=1.4NIF the motor is operated at rated voltage, rated frequency and at the rated speed,then answer Five of the following: [Use (IEEE) equivalent circuit).a.Draw the per phase equivalent circuit of the machine and determine the motor slip.b. Determine the stator current.X=X2-J2 QXm-J552c. Determine the starting torque T start-d. Determine the maximum torqueT.e. Determine the maximum torqueTf. Determine the starting torque T start if the rotor resistance is increased to R2=2.82max.max if the supply voltage VL-220V.

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Answered: A three-phase Y-connected VL=440V, 1440…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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The equivalent circuit parameters of a 230-V, 1-phase, 6-pole, 60-Hz induction motor are: R1 = R2’ =10ohm, X1 = X2’ = 10ohm, and Xm = 100ohm. At a slip of 5%, calculate the developed torque and The input power to the motor at 230V, while running on no-load, is 31.4 W at 1.2 A. What is the approximate efficiency of the motor at 5% slip?
Primary winding resistance of 460V, 25 HP, 60 Hz, 4-pole, Y-connected asynchronous motor, R1 = 0.65 ohms, equivalent circuit impedance is 14.06 <30º ohms. Total rotary losses are 1000W and fixed. Core losses also return included in the losses. When the slip of the motor running at rated frequency and voltage is 3%, the desired find below. what is the; Rotor speed, Stator current, and power factor, Gap power and power converted from electricity to mechanical, Induced torque and load torque, Output power, and efficiency?
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.
Evaluate the suitability for using as a belt conveyor drive of a three‐phase, wound rotor induction motor by estimating the motor breakdown and start‐up torque. The motor particulars as per manufacturer’s specifications are: 380‐V, 6‐pole, star connected, 50‐Hz. Machine’s parameters on per‐phase basis, referred to the stator are:R1 = 0.12 Ω, R2 = 0.0.3 Ω, X1 = 0.6 Ω, X2 = 0.15 Ω, XM = 42.2 Ω, Rc is neglected
A 3-phase induction motor, 440-V, 50-Hz, 6-pole, delta-connected has the following equivalent-circuit parameters at normal frequency:R1.2 ohm, R'2=0.18 ohm, X1= x'2=0.58 ohm, all per phase values. The machine is subjected in service to an occasional fall of 40% in both voltage and frequency. What total mechanical load torque is it safe to drive so that the machine just does not stall under these conditions? When operating at normal voltage and frequency, calculate the speed when delivering this torque and the power developed. Calculate also the speed at which maximum torque occurs. If V and f were both halved, what would be the increase in starting torque from the normal direct-on-line start at rated voltage and frequency? If now the machine is run up to speed from a variable-voltage, variable-frequency supply, calculate the required terminal voltage and frequency to give the 'safe' torque calculated above: (i) at starting, (ii) at 500 rev/min. Repeat (d) for the machine to develop a…
17. A single-phase, 120 V, 60 Hz, four-pole, split-phase induction motor gave the following blockedrotor test data:VIP Main winding 32 4 80Auxiliary winding 40 4 128a) Determine the standstill impedances of the main and auxiliary windings.b) Determine the values of the resistances to be added in series with the auxiliary winding to obtain maximum starting torque.c) Compare the starting torques and starting currents with and without the added resistance in the auxiliary winding circuit if the motor is connected to a 120 V, 60 Hz supply
(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 torque
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.
Q2. For a 10 kW, 380V, three-phase, four-pole, 1200 r/min, delta-connected induction motor. Adopt a specific magnetic loading of 0.4712 Wb/m2 and a specific electric loading of 23000 ampere-conductors per metre. The motor has a full-load efficiency of 85% and a full-load power factor of 0.8. A square pole design may be assumed and the stator leakage impedance voltage drop may be ignored. Assume also that the winding is full-pitched and uniformly wound. To calculate the following design parameters (a) The approximate outer diameter and length of the rotor core (b) the air gap length of the motor (c) the turns per phase (d) the number of conductors per slot, if 3 slots per pole per phase are chosen
Please show a complete solution to the problem 8. A three-phase, 30-hp, 60-Hz, 2200-V, 600 r/min, salient-pole synchronous motor has direct-axis and quadrature-axis reactances equal to 34.46 Ohms/phase and 20.85 Ohms/phase, respectively. Neglecting losses, determine the power, in watts, drawn by the motor if the field current is adjusted so that the excitation voltage is equal to 1.8 times the applied stator voltage, and the load is increased until maximum reluctance torque occurs. Give your final answer in 2 decimal places. Correct Answer: 224,607.90 ± 0.01
The primary leakage impedance and equivalent secondary impedance referred to stator atstandstill of a 3-phase, 220 V, 50-Hz, 4-pole induction motor are (0.4 + 3j)ohms and (1.2 + j1) ohms per phaserespectively. If the magnetizing current is neglected, determine the maximum torque the motor candevelop and slip at which it occurs.
A 75kW, 440V, 3-phase, 6-pole,50Hz wound rotor induction motor has a full load slip of0.04 and the slip at maximum torque of 0.2 when operating at rated voltage and frequencywith rotor winding short circuited at the slip rings. Assume the stator resistance androtational losses to be negligible. Find(a) Maximum torque(b) Starting torque(c) Full load copper loss.The rotor resistance is now doubled by adding an external series resistance.Determine(d) Slip at full load(e) full-load torque(f) slip at maximum torque

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