A 3-phase, 400 V, 50 Hz, 4-pole, Y-connected induction motor has the following data, = 0.1 = 0.9 per phase. The ratio of stator to rotor turns is
Calculate: (a) The gross output at a slip of 5%.
(b) The maximum torque in synchronous watts.
Given, = 400V , Y-connected, f = 50Hz, p = 4 , = 0.1 , = 0.9 , = 3.5 , s = 0.05
Synchronous speed, ns = = 1500 rpm, ωs = 2πns/60 ≈ 157.08 rad/s
Rotor referred to stator, = 1.225 Ω, = 11.025 Ω
Rotor impedance at s = 0.05
Phase voltage,
Rotor current,
Gross mechanical power at s = 0.05
(1 - s) ≈ 5.17 kW
Maximum torque slip,
Smax
Maximum torque power (synchronous watts), Pmax =
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