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A 6-pole 3-phase induction motor is operated by a 60-Hz 3-phase source with the line voltage 𝑉𝑙𝑖

Posted: Wed May 18, 2022 6:42 am
by answerhappygod
A 6-pole 3-phase induction motor is operated by a 60-Hz 3-phase
source with the line voltage 𝑉𝑙𝑖𝑛𝑒 =440𝑉 at a rotor speed π‘π‘Ÿ =1100
rpm. The motor draws a line current 𝐼𝑙𝑖𝑛𝑒 =32𝐴 at a power factor
cos(πœ™)=0.92. The developed torque 𝑇𝑑 =170 Nm and the loss torque is
𝑇𝑙 =4 π‘π‘š. Calculate:
a) The Synchronous speed in rpm and in radians per second
. b) The rotor speed πœ”π‘Ÿ in radians per second.
c) The fractional slip s.
d) The Electrical input power 𝑃𝑖𝑛
e) The power transferred to the Rotor π‘ƒπ‘Ÿ
f) The developed mechanical power π‘ƒπ‘š
g) The power lost in the Rotor resistance π‘ƒπ‘—π‘Ÿ
h) The Power lost in the stator 𝑃𝑗𝑠
i) The Mechanical output power π‘ƒπ‘œπ‘’π‘‘ and the mechanical power
loss π‘ƒπ‘šπ‘™
j) The Motor Efficiency