A 460V, 50Hz, 7.5kW, four-pole, Y-connected induction motor has the following parameters: R1 = 0.540 R2...
A four-pole Y-connected, 415 V, 50 Hz, induction motor has phase equivalent circuit parameters of R1= 2 ohms. R2=2.2 ohms. X1=X2=4 ohms. X(motor)=90 ohms Under rated condition, the rotor slip is 6%. (i) What is the rotor speed and rotor electrical frequency under the rated conditions; (ii) Calculate the stator input current, power factor, and electromagnetic torque under these conditions; (iii) The machine is running at rated conditions and it is to be stopped by switching the two stator leads....
A 480 V, 60 Hz, 4-pole-pair, three-phase, delta-connected induction motor has the following parameters: R1=0.42 Ω, R2=0.23 Ω, X1=0.48 Ω, X2=0.29 Ω, Xm=29.71 Ω where: R1 is the stator resistance R2 is the rotor resistance reflected in the stator; X1 is the stator leakage inductance; X2 is the rotor leakage inductance reflected in the stator; Xm is the magnetising inductance; The rotational losses are 2450 W. The motor drives a mechanical load at a speed of...
A 3 phase, 460V, 60Hz, 6-pole induction motor has the following equivalent circuit parameters per phase: R1 = 0.2 ohms R2 = 0.28 ohms X1 = X2 = 1.055 ohms Xm = 33.9 ohms The no load losses, comprising friction, windage, and iron losses equal 26W. The motor is coupled to a load and connected to a 460V supply, and the rotor speed is found to be 1156 RPM. For this motor connected to a 460V supply calculate the following:...
2. A 208V, two pole, 60 Hz, y connected wound rotor induction motor is rated at 15hp. Its equivalent circuit parameters are R:-0.200, R:-0.120, X.-X-0.410, X-150. The rotational losses are 430W. The motor drives a mechanical load with a slip of 5 percent. By using simplified equivalent circuit calculate; (30 pts) a) The motor speed in revolutions per minute and radians per second. b) The line current c) The stator copper losses. d) The air gap power. e) The power...
A 415-V, Y-connected, 4-pole, 50 Hz, three-phase induction motor has the following parameters on a per-phase basis, as referred to the stator: R1 = 0.25 ohms, X1 = 0.75 ohms, R2 = 0.55 ohms, X2 = 1.2 ohms, Xm = 50 ohms. The core loss is 200 W and rotational (mechanical) losses are 200 W. The machine is running at full load at a speed of 1450 r.p.m. Using the exact equivalent circuit, calculate- The total input current, The power factor, The air-gap power developed, The...
. A three-phase, 460V, 60Hz, 4 – pole Y – connected induction motor has the following equivalent circuit parameters: Rs = 0.42Ω, Rr ′ = 0.23Ω, Xs = Xr ′ =0.82Ω, and Xm = 22Ω. The no load loss Ploss = 60W, assumed as a constant. The rotor speed is 1750 rpm.Use the approximate equivalent circuit ( i.e. the Xm branch is at the very left of the circuit) determine the followinga. the synchronous speedb. the slip sc. the input...
Question 2 [10 marks) A six pole, three phase induction motor, with a star connected stator winding is energised from a 380V, 50Hz supply. The ratio of the stator to rotor turns is assumed 1.8 and a full load slip of 4%. If the respective per phase rotor resistance and standstill reactance are 0.120 and 0.8502, determine: a. Torque developed at full load b. The maximum torque and the speed at maximum torque
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A two-pole, 75kW, 440 V, 50 Hz, Y-connected, three-phase squirrel cage induction motor has the following parameters, in Ω/phase referred to the stator: R1-0.075, XI 0.17, xm-72, R2-0.065 and X-0.17. Its rated slip is 4%. Assume that the mechanical losses are 1 kW and the core losses are 1.1 kW. Compute: a. The rated input current b. The rated power factor. c. The pullout torque d. The induced and load torques at rated conditions....
A 3-phase, 208 V, 60 Hz, 30 hp, four-pole induction motor has the following equivalent circuit parameters. R1 = 0.2 Ω, , , Xm = 12Ω.The rotational loss is 500 W. For a slip of 5%, calculate (a) The motor speed in rpm and radians per sec (b) The current drawn by the motor from the power supply (c) The stator cu-loss (d) The air gap power (e) The rotor cu-loss (f) The shaft power (g)The developed torque and the shaft torque (h) The efficiency of the motor Use...
5. A 208-V four-pole 60-Hz Y-connected wound-rotor induction motor is rated at 30 hp. Its equivalent circuit components are R=0.100 Ry=0.070. X - 10.00 R = 250 X; -0.2100 X=0.21002 Praw=500 W P =0.5% of input at full load For a slip of 0.05, find (a) The line current (b) The induced voltage in the rotor (c) The stator power factor (d) The rotor power factor (e) The rotor frequency (f) The stator copper losses (g) The core loss (h)...