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.
(iii) The power factor of the motor.
(iv) The input power of the motor.
(v) The developed mechanical power.
(vi) The efficiency of the motor.

Solutions

Expert Solution

Manojponduru answered 7 months ago

Next > < Previous

Related Solutions

A three-phase, 460-V, 60-Hz, six-pole Y-connected induction motor has Rs = 0.32 Ω, R′ r =...

A three-phase, 460-V, 60-Hz, six-pole Y-connected induction motor has Rs = 0.32 Ω, R′ r = 0.18 Ω, Xs = 1.04 Ω, X′ r = 1.6 Ω, and Xm = 18.8 Ω. The no-load loss, Pno load, is negligible. The load torque, which is proportional to speed squared, is 180 N#m at 1180 rpm. If the motor speed is 850 rpm, determine (a) the load torque demand TL; (b) the rotor current I′ r; (c) the stator supply voltage Va;...

A 3 phase 460 V, 60 Hz, 4 pole, delta connected induction motor has the following...

A 3 phase 460 V, 60 Hz, 4 pole, delta connected induction motor has the following equivalent circuit parameters. Rs = 0.42 Ω, Rr = 0.23 Ω, Xs = Xr = 0.82 Ω. Xm = 22 Ω. The no load loss = 60 W and may be assumed 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...

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?

A Y- connected, 460- V, 1710- rpm, 60- Hz, 4- pole squirrel cage induction motor has...

A Y- connected, 460- V, 1710- rpm, 60- Hz, 4- pole squirrel cage induction motor has a rotor current at starting 6 times the rotor current at full load. Calculate: a. The starting torque as percent of full load torque. b. The slip and speed at which the motor develops maximum torque. c. The maximum torque developed b the motor as percent of its full load value.

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 400 V,50 Hz, six-pole three-phase induction motor drives a constant load of 140 N.m. The...

A 400 V,50 Hz, six-pole three-phase induction motor drives a constant load of 140 N.m. The motor has the following parameters ?1=0.294 Ω ?1=1.39 ?? ??=41 ?? ?2′=0.156 Ω ?2′=0.74 ?? 1) Starting. Calculate the following: i) Motor starting current. ii) Motor starting torque. 2) Maximum operating point. Calculate the following: i) Slip at which maximum torque is developed. ii) Maximum torque developed. 3) Steady-state operation. Calculate the following: i) Motor slip. ii) Motor speed. iii) Motor current. iv) Motor...

A three phase, 60 Hz, 480 V, Y-connected, two-pole synchronous generator has a synchronous reactance of...

A three phase, 60 Hz, 480 V, Y-connected, two-pole synchronous generator has a synchronous reactance of 0.95 Ω per phase. Its armature resistance is negligible. Its combined friction and windage losses are 1.3 kW and its core losses are 0.95 kW. The field current is constant at no-load. Its full load armature current is 55 A at 0.9PF lagging. Assume phase voltage is a reference. Determine following: a) Its terminal voltage when it is loaded with the rated current at...

A 60-Hz, 208-V, 2 pole wye connected induction motor is rated at 15hp. The equivalent parameters...

A 60-Hz, 208-V, 2 pole wye connected induction motor is rated at 15hp. The equivalent parameters are as follows: RS = 0.2 Ω RR’ = 0.120 Ω XS = XR’ = 0.41 Ω Xm = 15 Ω The machine has negligible miscellaneous losses but experiences mechanical loss and core loss of 250 W and 180 W, respectively. For a slip of 5 %, determine a) The line current. (44.8  -25.5  A) b) The stator copper losses (1.205 kW)...

Subjects