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  3. a   three-phase,   460-v,   60-h

A   three-phase,   460-V,   60-Hz,   six-pole   Y-connected   induction   motor   has   Rs = 0.32 Ω, R′ r = 0.18 Ω,...

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Electrical Engineering

A   three-phase,   460-V,  60-Hz,   six-pole   Y-connected  induction   motor   has   Rs = 0.32Ω, R′ r = 0.18 Ω, Xs = 1.04 Ω, X′ r = 1.6 Ω,  and   Xm = 18.8 Ω.   The  no-load   loss,   Pno load,  is   negligible.   The  load   torque,   which  is   proportional   to  speed   squared,   is   180N#m   at   1180   rpm.  If   the   motor   speed  is   850   rpm,  determine   (a)   the  load   torque   demand   TL;(b)   the   rotor  current   I′ r; (c)   the  stator   supply   voltage   Va;(d)   the   motor   input  current   Ii ; (e)   the  motor   input   power   Pi;(f)   the   slip   for  maximum   current   sa; (g)  the   maximum   rotor  current   Ir1max2; (h)   the  speed   at   maximum  rotor   current   ωa;  and   (i)   the   torque  at   the   maximum  current   Ta.

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