4. A certain four-pole 240-V-rms 50-Hz delta-connected
three-phase induction motor operates at slip 5% at full load and
has rotational losses (windage + friction) of 100 W. The stator
resistance per phase is 0.2 Ohm. The results of no-load and
locked-rotor tests on this motor are as follows: No-load test
Locked-rotor test Line-to-line input voltage: 240 V 45 V Input
active power: 1100 W 1300 W Input line current: 10 A 30 A Using the
tests data, determine parameters of the per-phase equivalent
circuit. (20 marks) Plot the per-phase equivalent circuit diagram
with all parameters indicated. (5 marks)
Using the obtained equivalent circuit, determine the following
parameters of the motor: a) Speed at full load (3 marks) b)
Frequency of the stator currents at full load (3 marks) c)
Frequency of the rotor currents at full load (4 marks) d) Power
factor at full load (15 marks) e) Output mechanical power at full
load (15 marks) f) Output torque at full load (5 marks) g) Power
efficiency at full load (10 marks) h) Starting current (line) (10
marks) i) Starting torque (10 marks)
4. A certain four-pole 240-V-rms 50-Hz delta-connected three-phase induction motor operates at slip 5% at full...
Two tests were performed on a 230-V, 60-Hz, 4-pole, Y-connected, three-phase induction motor and the obtained data are given in the table below. The friction and windage loss is 15 W, and the stator winding resistance between any two lines is 3.96ohm Determine: 1) The equivalent circuit parameters of the motor 3) The motor efficiency at a slip of 8%. No-load test 137 0.43 230 Blocked-rotor test 70 1.18 47 3-phase power input, W Line-line voltage, V
5 Marks) A 4-pole, 3 phase, 50 Hz, 230 V induction motor. Each phase of rotor winding b) has one-fourth the number of turns of each stator. The full-load speed is 1,455 rpm. The rotor resistance is 0.3 Ω and rotor standstill reactance is 1.0 Ω per phase. The rotor and stator windings are similar. Stator losses are equal to 50 Watts. Friction and windage losses are equal to 30 W. Calculate ) Blocked rotor voltage per phase. 2 Marks)...
4.6. A 460-V, 75 kW, 4-pole, delta-connected, 60-Hz, three- phase induction motor has a full-load slip of 5 percent, an efficiency of 92 percent and a power-factor of 0.87 lagging at full-load. At start-up, the motor develops 1.9 times the full load developed torque but draws 7.5 times the rated current at the rated voltage. This motor is to be started with an auto- transformer reduced-voltage starter. Assume the stator resistance and the stator core loss to be negligible. Calculate...
A 240 V, 50 Hz, six-pole Y-connected, 18 kW, induction motor is tested in the laboratory, with the following results: No load test: Terminal voltage: 240 V, phase current: 6.0 A, AC supply frequency: 50 Hz Locked rotor: Terminal voltage: 36 V, phase current: 8.5 A, input active power: 235 W, AC supply frequency: 50 Hz DC test: DC voltage: 13.5 V, DC current: 10.5 A Find the equivalent circuit parameters of this motor.
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: The equivalent circuit of a 440 V, 3-phase, 8 pole, and 50 Hz star-connected induction motor is shown in figure 1. The short-circuit test is conducted with a locked rotor and a line current of 80 A. The open-circuit test is conducted by supplying the stator winding at rated voltage and at the rotor is rotating freely without any mechanical load. Fig. 1 The per-phase equivalent circuit of a 3-phase induction motora) Determine the line voltage and power factor on the...
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...
5. A 208-V four-pole 60-Hz Y-connected wound-rotor induction motor is rated at 30 hp. Its equivalent circuit components are R=0.100 Ry=0.070. X - 10.00 R = 250 X; -0.2100 X=0.21002 Praw=500 W P =0.5% of input at full load For a slip of 0.05, find (a) The line current (b) The induced voltage in the rotor (c) The stator power factor (d) The rotor power factor (e) The rotor frequency (f) The stator copper losses (g) The core loss (h)...
Question: The equivalent circuit parameters of a 440 V, 3-phase, 8-poles, and 50 Hz star connected motor are given below. The short-circuit test is conducted with a locked rotor and a line current of 80 A. The open-circuit test is conducted by supplying the stator winding at rated voltage and at the same time driving the rotor in the same direction as the rotating field, at synchronous speed; s=0.R1 = 0.1, X1 = 0.5, RI2 = 0.1, XI2 = 0.5, Xm = 20, Rm = 100...