Question

In: Electrical Engineering

Q3). A 10KW, 415V, 50Hz, 4 pole, Y (star)-connected induction motor is running at 1425 rpm...

Q3). A 10KW, 415V, 50Hz, 4 pole, Y (star)-connected induction motor is running at 1425 rpm and is delivering full load output while operating at 89% efficiency.

a) Find the total losses of the motor [4 marks]

b) If the Copper loss, Core loss and Rotational loss are at a ratio of 1:0.7:0.2, find each loss separately [6 marks]

c) What is the torque output of the motor? [4 marks]

d) If the full load power factor is 0.85, what is the current drawn by the motor? [4 marks]

e) Find the phase voltage and phase current of the motor? [6 marks]

f) Find the full load slip of the motor? What will be running speed of the motor if the frequency is changed to 40 Hz assuming the operating slip remains the same? [6 marks]

g) Find the running cost of the motor for a year if the duty is 50% and cost of electricity is 30c per unit [4 marks]

Solutions

Expert Solution


Related Solutions

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 400V, three phase, 50Hz, 4 pole induction motor is operating at a per unit slip...
A 400V, three phase, 50Hz, 4 pole induction motor is operating at a per unit slip of 40KW from the suppply. Under these conditions stator losses amount to 2.2 KW and rotational losses due to friction and windage amount to 1.4KW. Calculate the net horsepower and torque developed.
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 three-phase, 11.2-kW, 1750-rpm, 460-V, 60-Hz, four-pole, Y-connected induction motor has the following parameters: Rs =...
A three-phase, 11.2-kW, 1750-rpm, 460-V, 60-Hz, four-pole, Y-connected induction motor has the following parameters: Rs = 0.53 Ω, R’r = 0.38 Ω, Xs = 1.23 Ω, X’r = 1.45 Ω, and Xm = 25.2 Ω. The motor is controlled by varying both the voltage and frequency. The volts/hertz ratio, which corresponds to the rated voltage and rated frequency, is maintained constant. a) Calculate the maximum torque, Tm and the corresponding speed, ꞷm for 60 Hz and 30 Hz. b) Repeat...
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...
A worm & worm wheel gear is connected to a motor running at 1000 rpm. Further...
A worm & worm wheel gear is connected to a motor running at 1000 rpm. Further 03 a gear train is formed using worm wheel having 100 teeth and module of 2mm as a driving gear. Gear “A” having 80 teeth is concentric with the worm wheel which in turn drives gear “B” in a ratio of 1:1. Gear “C” having 60 teeth and “B” are compound gears. Gear “C” is the driving gear for a simple gear train having...
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 6-pole and three-phase induction motor has synchronous speed of (1000) RPM. a) Find the no-load...
A 6-pole and three-phase induction motor has synchronous speed of (1000) RPM. a) Find the no-load and full-load operating speed of motor for the cases given, 1. 2.5Hz electrical frequency of rotor for no-load condition. 2. 6.3Hz electrical frequency of rotor for full-load condition. b) Find the speed regulation of motor by using parameters found above. c) Determine the electrical frequency of rotor under full-load condition so that speed regulation would be equal to 5%? (Electrical frequency of rotor for...
•The rotor impedance at standstill of a three-phase, Y-connected, 208-V, 60Hz, 8-pole, wound-rotor induction motor is...
•The rotor impedance at standstill of a three-phase, Y-connected, 208-V, 60Hz, 8-pole, wound-rotor induction motor is 0.1 + j0.5 Ω/phase. •Determine the breakdown slip, (0.2) the breakdown (maximum) torque, (458.37 Nm) and the power developed by the motor at maximum torque (34.6kW). •What is the starting torque of this motor? (176.3 Nm) •Determine the resistance that must be inserted in series with the rotor circuit so that the starting torque is 50% of the maximum torque. (0.034Ω)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT