. 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 following
a. the synchronous speed
b. the slip s
c. the input current I1
d. the input power
e. the input power factor of the supply
f. the air gap power Pag
g. the rotor copper loss
h. the developed torque
i. the efficiency
j. the slip for maximum torque
k. the maximum developed torque
. 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
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:...
A three-phase Delta-connected, 15 hp, 440 VL-L, 60 Hz, six-pole induction motor is running at a shaft speed of 1182 rpm. The motor has the following parameters in ohms per phase: Rs = 0.2 Rp = 0.25 Rc = 317 Xs = 1.2 Xr= 1.3 Xm = 42 The rotational loss is 1500 W. Determine: a. Stator current b. Core loss c. Mechanical power d. Maximum developed torque e. Additional rotor resistance to be added to the rotor circuit such...
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...
1) One phase equivalent parameter of a three-phase, 460V, 1740d / d, 60Hz, 4-pole, rotor wound asynchronous motor values are given below. R1 = 0.25Ω, R’2 = 0.2Ω, X1 = X’2 = 0.5Ω, Xm = 30Ω Rotary losses are 1700W. While the rotor terminal ends are short-circuited, find the following requirements. a) (i) Find the starting current when the motor is supplied with nominal voltage? (ii) Find the starting torque? b) (i) Find the slip at full load? (ii) Find...
Problem # 2: Induction Motor Analysis Using The Thevenin Theorem [37 points] A three-phase, two pole, 25hp, 460V (line-line), 60Hz, wye-connected, squirrel-cage induction motor has the following per-phase parameters: Ri 0.53 Ohm X2 0.80 Ohm Xi 1.80 Ohms R2 0.30 Ohm Re- 400 Ohms Xm 25.0 Ohms You cannot use any approximate circ uit or any approximation in the calculations. (1) Determine the parameters of the Thevenin equivalent circuit. Draw the equivalent circuit with the appropriate parameter values indicated on...
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....
Please use exact methods and not approximations! 7.15. A three-phase, 460 V, 60 Hz, 1760 rpm, wound-rotor induction motor has the following equivalent circuit parameters Ri=0.25 ohm : R'= 0.2 ohm : Xi = 1.2 ohm : X2,= 1.1 ohm : 'Ku = 35 ohm The motor is connected to a 3ph, 460V, 60Hz supply and is star-connected. Use the simplified equivalent circuit. Initially the external rotor resistance is set to zero. (a) Calculate the speed (in rpm) at which...
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)...
Q4. A six-pole, three-phase, 60 Hz induction motor is operating at a speed of 1164 rev min. The input power at this speed is 33 kW and the stator copper loss is 1200 W. Find a) Slip b Airgap power c Rotor copper loss d) Developed torque e) Developed horsepower f) If the rotational losses are 500 W, find the output torque and horsepower