Sewal solution for electrical machines
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Q: A 4 pole,1450 rpm,400 V, Y-connected ,50 Hz, three-phase induction motor has the following per phase parameters in Ω: R1=R2= 1 ,X1=X2=2 , Xm=50. Find : stator current , power factor, stator copper loss , rotor current ,and rotor copper loss
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....
A 415-V, Y-connected, 4-pole, 50 Hz, three-phase induction motor has the following parameters on a per-phase basis, as referred to the stator: R1 = 0.25 ohms, X1 = 0.75 ohms, R2 = 0.55 ohms, X2 = 1.2 ohms, Xm = 50 ohms. The core loss is 200 W and rotational (mechanical) losses are 200 W. The machine is running at full load at a speed of 1450 r.p.m. Using the exact equivalent circuit, calculate- The total input current, The power factor, The air-gap power developed, The...
Question 3. (25 Marks) Parameters of a three-phase, 400 v, 50 Hz, 4-pole, star-connected induction motor are as follows: bl The sum of friction, windage and stray losses are 0.15 kW. The motor is running at 1440 rpm. (a) Calculate the input line current (b) Calculate the stator copper loss and rotor copper loss. (c) Calculate the output power and efficiency.
A 460V, 50Hz, 7.5kW, four-pole, Y-connected induction motor has the following parameters: R1 = 0.540 R2 = 0.4880 XM = 51.120 X1 = 2.0930 X2 = 3.2090 PE+W = 150W Pmisc = 50W Pcore = 150W For a slip of 0.03, find a. [5 marks] The line current IL b. [3 marks] The stator power factor c. [3 marks] The frequency of the rotor currents d. [4 marks] The power converted from electrical to mechanical form Pconv e. [5 marks]...
A 3-phase, 460 V, 1740 rpm, 60 Hz, 4-pole wound-rotor induction motor has the following parameters per phase: R1 = 0.25 Ω, ' 2R = 0.2Ω, ' 1 2 X = X = 0.5Ω, 30 m X = Ω. The rotational losses are 1700 W. With the rotor terminals short-circuited, find: 1. at starting: • current when started direct on full voltage, • a torque 2. at full load: • slip • current • ratio of starting current to full-load...
Example 5 A 50 Hz, 6-pole, 3 phase induction motor has rotor current with frequency of 2.5 Hz. Obtain the slip and speed of motor.
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...
A 3-phase, 690 V, star-connected, 50 Hz, 6-pole induction machine has phase-equivalent circuit parameters of: R1 = 0.045 , R2 = 0.06 , X1 = 0.16 , X2 = 0.28 and Xm = 6 (i) Calculate the peak torque and the slip at which this occurs. (ii) Calculate the starting torque, starting current and power factor. (iii) Sketch a plausible torque-speed characteristic for this machine based on the results from (i) and (ii). (iv) Calculate the Active Power ...
A 3 phase, 440 V, 6 pole, 970 rpm, 50 Hz, Y-connected induction motor has the following parameters referred to the stator Rs = 0.2 Ω, Rr'一0.15 Ω, xs-x-= 0.4 Ω The stator to rotor turns ratio is 3.5 The motor speed is controled by the Static Scherbius Drive. The drive is designed for a speed range of 30% below the synchronous speed. The maximum value of firing angle is 170'. Calculate (i) Turns ratio of the transformer (ii) Torque...
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 The ratio of the stator starting current to full-load current (Istart / Ifull-load)?