A 400v, 4-Pole, 50z, 3-Phase, 10hp, Y-Connected induction motor has a no load slip of 1% and full load slip of 4%. Find the following: (i) Syn. Speed (ii) No load speed (iii) Full load speed (ix) Frequency of rotor current at full load (v) Full load torque.

A 400v, 4-Pole, 50z, 3-Phase, 10hp, Y-Connected induction motor has a no load slip of 1% and full load slip of 4%. Find the following:  (i) Syn. Speed   (ii) No load speed  (iii) Full load speed  (ix) Frequency of rotor current at full load  (v) Full load torque.

Solution-6:

Here,

P_out = 10hp = 10*746 = 7460Watt, Pole, P = 4, f = 50Hz, V_L =400v

No load slip, s =0.01, Full load slip, s_fl = 0.04

(i)  Syn. Speed   N_S = 120f/P = 120*50/4 = 1500rpm

(ii)  No load speed  N_O = N_S(1-s) = 1500(1-0.01) = 1485rpm

(iii) Full load speed, NFL = N_S(1- s_fl) = 1500(1-0.04) = 1440rpm

(ix) Frequency of rotor current, fr = s_fl .f = 0.04*50 = 2Hz

(v) Full load torque, T_sh = 9.55P_out/N_FL = 9.55*7460/1440 = 48.78Nm

EEE Job Math-6

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