A 60hp, 460-V, 60-Hz, six-pole, Y-connected, three phase induction motor is running with a slip of 5.2%. The equivalent circuit parameters are Stator resistance, R = 0.14 2, Stator Reactance, X-0.64 S2, X- 20.2 2 Rotor resistance (referred to stator), R - 0.18 2 Rotor Reactance (referred to stator), X - 1.06 2 P (F&W or, rotational) + P (misc. or, stray) = 205W Determine 1) Line current ii) Rotor current iii) Core loss

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1. A 60hp, 460-V, 60-Hz, six-pole, Y-connected, three phase induction motor is running
with a slip of 5.2%. The equivalent circuit parameters are
Stator resistance, R = 0.14 2, Stator Reactance, X= 0.64 2, X= 20.2 2
Rotor resistance (referred to stator), R = 0.18 2
Rotor Reactance (referred to stator), X = 1.06 2
P(F&W or, rotational) + P (misc. or, stray) = 205W
Determine
1) Line current
i1) Rotor current
ii) Core loss
iv) Eficiency of the motor
If the motor is to be operated on a 50-Hz power system, what must be done to its
supply voltage? Why? What will the equivalent circuit component values be at 50
Hz?
2. A 420-V, four-pole. 60-hp, 50-Hz, Wye connected, three-phase induction motor develops
its full-load induced torque at 3.2 percent slip when operating at 50 Hz and 420V. The
per-phase circuit model impedances of the motor are
Stator Resistance, R=0.062 2, Stator Reactance, XI = 0.34 2, X= 20.22
Rotor Reactance (referred to stator), X = 0.40 2
Mechanical, core, and stray losses may be neglected in this problem.
I.
Find the rotor resistance, R:
II.
Find the value of slip at which maximum torque occurs for this motor.
Transcribed Image Text:1. A 60hp, 460-V, 60-Hz, six-pole, Y-connected, three phase induction motor is running with a slip of 5.2%. The equivalent circuit parameters are Stator resistance, R = 0.14 2, Stator Reactance, X= 0.64 2, X= 20.2 2 Rotor resistance (referred to stator), R = 0.18 2 Rotor Reactance (referred to stator), X = 1.06 2 P(F&W or, rotational) + P (misc. or, stray) = 205W Determine 1) Line current i1) Rotor current ii) Core loss iv) Eficiency of the motor If the motor is to be operated on a 50-Hz power system, what must be done to its supply voltage? Why? What will the equivalent circuit component values be at 50 Hz? 2. A 420-V, four-pole. 60-hp, 50-Hz, Wye connected, three-phase induction motor develops its full-load induced torque at 3.2 percent slip when operating at 50 Hz and 420V. The per-phase circuit model impedances of the motor are Stator Resistance, R=0.062 2, Stator Reactance, XI = 0.34 2, X= 20.22 Rotor Reactance (referred to stator), X = 0.40 2 Mechanical, core, and stray losses may be neglected in this problem. I. Find the rotor resistance, R: II. Find the value of slip at which maximum torque occurs for this motor.
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