Consider a 2-pole, 3-phase induction machine, with a rated frequency of 60Hz, producing the rated torque...
A 2-pole, 20MW single phase induction machine used for driving a train has a slip of 4.12%, when it is delivering 80% of its rated torque and 15.6MW. The rotor speed at the rated torque/power is 3415 rpm. (i) Determine the synchronous speed of the motor, under the above conditions, as well as the frequency required by the power electronics in the drive (ii) If the torque and synchronous speed were kept constant under the above conditions, calculate the load...
Consider a 3-phase, 4 pole, 60Hz, 450 V synchronous generator rated to supply 1687.5 kVA to a ship distribution system requiring a 0.8 lagging power factor. (a) If this machine was operating at rated conditions, what would the real (P) and reactive (Q) power and the current being supplied? (b) If the generator has an efficiency ( η ) of 95%, what torque does the prime mover provide? (c) What is the speed of the rotor (rpm)?
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....
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(35 points) Induction Generator Real Power Generation. A three phase, 220V line to line, six pole, 60Hz, wye connected induction machine operates at rated voltage as a generator at a slip of-0.04. Its equivalent circuit parameters are the same as those in problem #1. The input mechanical power at the rotor (this is a generatorl) is 5.2kW. The core losses are 200Watts; friction and windage losses are 17 Watts; treat...
Problem Solving: 1. A 220V, 4-pole, 60Hz, 1-phase induction motor has an effective rotor resistance and leakage reactance of 0.5 Ohms and 5 ohms respectively. It is running at a speed of 1,800 rpm. Determine: a. Frequencies of forward and backward rotor current components b. Relative magnitudes of forward and backward fluxes. Neglect magnetizing current and stator impedance. A 220-W, 2-pole, 115-V, 60-Hz single-phase induction motor delivers rated output at a slip 10%. The total copper loss at full load...
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 4-Pole, 3Ø induction motor operates from a supply whose frequency is 60Hz. a.)Calculate the speed at which the magnetic field of the stator is rotating b.) What is the speed of the rotor when the slip of 0.05 Thank you in advance!!
A 3 phase, 4 pole, 60 Hz., AC Induction Motor has a rated Torque of 150 Nm. with the phase voltage of 254v. Its parameters are: R1 = 0.20 Ohms, R2’ = 0.32 Ohms and X = 0.50 Ohms. Find its approximate slip at the rated load and speed.
The input power to a 480V, 3 phase, 6 pole, 50 Hz induction motor is 75kW with a line current of 75A and runs at a slip of 2.5%. If the stator core loss is 2 kW, windage and friction loss is 1.2 kW, and the stator resistance per phase is 0.16 ohm. Calculate: a. Power supplied to the rotor (Air gap power) b. Rotor copper loss c. Shaft power d. Efficiency of the motor e. Shaft torque f What...
A three-phase 4 pole wye connected 220 V, 15 Hp, 50 Hz induction machine (rated conditions) has the following parameters per phase refereed to the stator. RI : 0.29 Ω , R2 0. 14 Ω , Xi-0.50 Ω , X2-0.20 Ω , Xm-1 0.53 Ω The total windage and core losses can be assumed to be a constant 350 W. If the machine is operating at rated voltage and frequency with a 5.5% slip, find the steady-state: (a) 10pts. Mechanical...