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 |
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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 875 rpm. |
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a) |
Draw the equivalent circuit for this drive. |
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b) |
Calculate the following quantities: |
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i) ii) |
Synchronous speed in rpm Slip |
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iii) iv) |
Line Current Input Power |
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v) vi) |
Air-gap Power Torque developed |
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vii) viii) |
Output Power Efficiency |
A 480 V, 60 Hz, 4-pole-pair, three-phase, delta-connected induction motor has the following parameters: R1=0.42 Ω,...
4. A three-phase induction motor has the following data: Nominal power, P 7.5 kW Nominal voltage, = 400 V Connection: Y Nominal frequency, f-50 Hz Nominal speed, nn 960 rpm Stator resistance, r, 0.55 Ω Rotor resistance referred to a stator winding phase: r:-0.51 Ω Stator leakage inductance, L,-4.4 mH Rotor leakage inductance referred to a stator winding phase,1'-4.4 mH Magnetising inductance L-65 mH How many pole pairs has the motor? 12] a. Calculate the nominal power factor of the...
3c) Induction Machine Analysis [ 8 marks ] A 415 V, 50 Hz, 1450 rpm, three-phase, star-connected induction machine has the following equivalent circuit parameters (referred to the stator winding where appropriate) stator resistance R 0.3 ohms, rotor resistance R2 0.2 ohms stator leakage reactance X 2 ohms, rotor leakage reactance X2' 2 ohms magnetising reactance XM 50 ohms, core loss resistance Rc 200 ohms In your calculations, you should use = the simplified equivalent circuit i) Find the number...
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...
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 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)?
A 4-pole, 2.3 MW, 690 V, 60 Hz squirrel cage induction generator is used in a fixed-speed wind energy conversion system. Generator parameters are given below: R1=0.001102 Ω, X2’=0.0204 Ω X1=0.0204 Ω, R2’=0.001497 Ω RC=∞ Ω (or inexistent) Xm=0.6706 Ω At a given wind speed, the machine operates at the rated speed of 1820 rpm. Neglecting losses, determine the following: a. The slip, and the rotor speed in mechanical rad/sec and in electrical rad/sec; b. The stator (or grid) and...
A 3-phase, 208 V, 60 Hz, 30 hp, four-pole induction motor has the following equivalent circuit parameters. R1 = 0.2 Ω, , , Xm = 12Ω.The rotational loss is 500 W. For a slip of 5%, calculate (a) The motor speed in rpm and radians per sec (b) The current drawn by the motor from the power supply (c) The stator cu-loss (d) The air gap power (e) The rotor cu-loss (f) The shaft power (g)The developed torque and the shaft torque (h) The efficiency of the motor Use...
A three-phase, 2.2 kV, 60 Hz, Y-connected induction motor has the following parameters: R1 = 0.2 Ω R2` = 0.4 Ω X1 + X2` = 1.5 Ω The motor’s full load speed is 580 rpm. Ignore the rotational losses and calculate: a. Full load torque b. Output power rating c. Starting current d. Starting torque
A three-phase, six-pole 440 V, 60 Hz induction motor has the following per-phase equivalent circuit parameters referred to the stator: R1 = negligible, R’2 =0.3 Ω, Rφ = infinite, X1 = 1.131 Ω, X’2 = 1.131 Ω and Xφ = 37.7 Ω. Rotational losses are negligible. Assume the stator is connected to a 440 V, 60 Hz source and use the 6-parameters IEEE model. a) Determine the motor starting torque. (5 points) b) Calculate the motor breakdown torque. (5 points)...
Please solve this question. Thank you.
A two-pole, 75kW, 440 V, 50 Hz, Y-connected, three-phase squirrel cage induction motor has the following parameters, in Ω/phase referred to the stator: R1-0.075, XI 0.17, xm-72, R2-0.065 and X-0.17. Its rated slip is 4%. Assume that the mechanical losses are 1 kW and the core losses are 1.1 kW. Compute: a. The rated input current b. The rated power factor. c. The pullout torque d. The induced and load torques at rated conditions....