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In: Electrical Engineering

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

A   three-phase,   460-V,   60-Hz,   six-pole   Y-connected   induction   motor   has   Rs = 0.32 Ω, 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   180 N#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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