A 37.3 kW 4 pole 50 Hz induction machine has a friction windage torque of 22...

A 37.3 kW 4 pole 50 Hz induction machine has a friction windage torque of 22 N-m. the stator losses equal the rotor circuit loss. Calculate:

The input power to the stator when delivering full-load output at a speed of 1.440 rev/min [44000 W]
The gross input and stator output power when running at a speed of 1560 rev/min. the stator losses are as in (a) and the windage and friction torque is unchanged [291 N-m; 40300 W]

Expert Solution

Manojponduru answered 10 months ago

A 440-V, 3-φ 50-Hz, 4 poles, 37.3 kW, Y-connected induction motor has the following parameters: R1=...

A 440-V, 3-φ 50-Hz, 4 poles, 37.3 kW, Y-connected induction motor has the following parameters: R1= 0.1 Ω, X1 = 0.4 Ω , R2′ = 0.15 Ω , X2′ = 0.44 Ω Motor has stator core loss of 1250 W and rotational loss of 1000 W. It draws a no-load line current of 20 A at a p.f. of 0.09 (lag). When motor operates at a slip of 3%, calculate a. input line current and p.f. [57.4@29°A, 0.875 lag] b....

A 50-Hz, 440-V, 2 pole wye connected induction motor is rated at 75 kW. The equivalent...

A 50-Hz, 440-V, 2 pole wye connected induction motor is rated at 75 kW. The equivalent parameters are as follows: RS = 0.075 Ω RR’ = 0.065 Ω XS = XR’ = 0.17 Ω Xm = 7.2 Ω The losses associated with the machine are field and winding, miscellaneous and core loss with values of 1 kW, 150 W and 1.1 kW, respectively. For a slip of 4 %, determine a) The line current. (150.39  -23.08 A) b) The...

A 50-Hz, 440-V, 6 pole wye connected induction motor is rated at 75 kW. The equivalent...

A 50-Hz, 440-V, 6 pole wye connected induction motor is rated at 75 kW. The equivalent parameters are as follows: RS = 0.082 Ω; RR’ = 0.07 Ω; XS = 0.19 Ω; XR’ = 0.18 Ω; XM = 7.2 Ω The losses associated with the machine are field and winding, miscellaneous and core loss with values of 1.3 kW, 150 W and 1.4 kW, respectively. For a slip of 4 %, determine: a) The line current b) The stator power...

A 6-pole, 50 Hz, 3-phase induction motor running on full load develops a useful torque of...

A 6-pole, 50 Hz, 3-phase induction motor running on full load develops a useful torque of 160 Nm when the rotor emf makes 120 complete cycles per minute. The windage and friction loss is 1005.30 Watt. It is assumed; the core loss is lumped together with the windage and friction loss. The total stator loss is given to be 800 Watt. Compute: a) Shaft power output, b) The copper loss in the rotor winding,c) The input power to the motor, and d) The...

A 440 V 4-pole 3 phase 50 Hz slip ring induction motor has its stator winding...

A 440 V 4-pole 3 phase 50 Hz slip ring induction motor has its stator winding mesh connected and its rotor winding star connected. The standstill voltage measured between slip rings with the rotor open –circuited is 218 V. the stator resistance per phase is 0.6Ω and the stator reactance per phase is 3Ω. The rotor resistance per phase is 0.05Ω and the rotor reactance per phase is 0.25Ω. Calculate the maximum torque and the slip at which it occurs....

Q3) A three-phase, Y-connected, 220 V, 13 kW, 60 Hz, six-pole induction motor has the following...

Q3) A three-phase, Y-connected, 220 V, 13 kW, 60 Hz, six-pole induction motor has the following parameter values in Ω/phase referred to the stator: R1 = 0.3 Ω. R2' = 0.15 Ω X1 = 0.5 Ω. X2'= 0.21 Ω Xm = 13.25 Ω The total rotational losses are 450 W. The core loss is lumped in with the rotational losses. For a slip of 0.02, and based on approximate equivalent circuit, determine: (i) The rotor speed. (ii) The stator current....

The parameters of a 3-phase, 4-pole, 50 Hz, Y-connected, wound-rotor induction motor are listed below. These...

The parameters of a 3-phase, 4-pole, 50 Hz, Y-connected, wound-rotor induction motor are listed below. These are the default values of the “Asynchronous Machine” model in MATLAB Simulink. r1=0.5968 ?; r2=0.6258 ?; L1=0.0003495 H; L2=0.005473 H; Lm=0.0354 H; Stator line voltage = 400 V rms. The motor for rotor speeds nm= 0 to 1500 rpm. X1= 0.1097 ohm, X2= 1.719 ohm , Xm= 11.12 ohm, RTH = 0.5853 , XTH = 0.1395 and VTH = 230.82 V. Suppose the motor...

A 10-pole induction motor is fed with a 230 V, 50 Hz supply used to drive...

A 10-pole induction motor is fed with a 230 V, 50 Hz supply used to drive multiple loads with 0.85 power factor. Answer the following. i. State 3 types of starting circuit. ii. Calculate angular speed (Ns) in rpm and slip (S). Given rotor speed 550 rpm. iii. Calculate the efficiency of the motor. Given output power 1000 W, copper loss 10 W, core loss 5 W and rotational losses 80 W.

Tests were carried out on a three-phase 220 V, 50 Hz, 4-pole delta-connected induction motor. The...

Tests were carried out on a three-phase 220 V, 50 Hz, 4-pole delta-connected induction motor. The following results were obtained from open circuit (no-load) and short circuit tests. Open Circuit (no-load) Test Applied Stator Voltage VLine (V) Stator Line Current ILine (A) Total Input Power Pin (W) 240 9.6 536 220 7.2 420 200 5.4 352 180 4.3 304 160 3.5 276 140 3.0 248 120 2.5 224 Short Circuit (locked rotor) Test Applied Stator Voltage VLine (V) Stator Line...

A 3-phase, 380 V, 50 Hz , 6 pole, Y-connected induction motor has R1 = 0.1...

A 3-phase, 380 V, 50 Hz , 6 pole, Y-connected induction motor has R1 = 0.1 W , X1 = 0.4 W, R2’ = 0.12 W , X2’ = 0.4 W, Xm = 20 W , Pr = 1 kW. The motor is operated at 970 rpm what is the efficiency?

Question