A 400V, 10hp, 4 pole, 5 0Hz, Y-connected induction motor operates at full load speed of 5%. Determine the synchronous speed, rotor speed and shaft torque at this operating condition.

A 400V, 10hp, 4 pole, 5 0Hz, Y-connected induction motor operates at full load speed of 5%. Determine the synchronous speed, rotor speed and shaft torque at this operating condition.

Solution:

Here, frequency, f= 50Hz

Number of poles, P= 4

Slip, s= 5% = 0.05

We know that,

Synchronous speed,  Ns = 120f/P = 120x50/4 = 1500 rpm

Rotor speed, Nr = (1-s)Ns = (1-0.05)1500 = 1425 rpm

Shaft Torque, τ_shaft =  P_out /ω_m  = (10x746)/{N_r x (2π/60)} = 7460/(1425x 0.1256) =  50Nm

EEE Job Math-1

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