A synchronous motor with a 480 V, 100 kW, 0.85 PF leading, 50 Hz, six poles, Y-connected, and has synchronous reactance of 1.5 N and a negligible armature resistance. The rotational losses are also to be ignored. This motor is to be operated over a continuous range of speeds from 500 to 1000 r/min, where the speed changes are to be accomplished by controlling the system frequency with a solid-state drive. (a) Identify the range of input frequency that be varied due to provide the speed control range? How much the maximum generated voltage, Ea at the motor's rated conditions? (b) What is the maximum power of the motor at the rated conditions?

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A synchronous motor with a 480 V, 100 kW, 0.85 PF leading, 50 Hz, six poles, Y-connected,
and has synchronous reactance of 1.5 N and a negligible armature resistance. The rotational
losses are also to be ignored. This motor is to be operated over a continuous range of speeds
from 500 to 1000 r/min, where the speed changes are to be accomplished by controlling the
system frequency with a solid-state drive.
(a)
Identify the range of input frequency that be varied due to provide the speed control
range?
(b)
How much the maximum generated voltage, Ea at the motor's rated conditions?
(c)
What is the maximum power of the motor at the rated conditions?
(d)
What is the maximum generated voltage, Ea could be at 500 r/min?
(e) Assuming that the applied voltage Vo is de-rated by the same amount as Ea, what is
the maximum power the motor can supply at 500 r/min?
Transcribed Image Text:A synchronous motor with a 480 V, 100 kW, 0.85 PF leading, 50 Hz, six poles, Y-connected, and has synchronous reactance of 1.5 N and a negligible armature resistance. The rotational losses are also to be ignored. This motor is to be operated over a continuous range of speeds from 500 to 1000 r/min, where the speed changes are to be accomplished by controlling the system frequency with a solid-state drive. (a) Identify the range of input frequency that be varied due to provide the speed control range? (b) How much the maximum generated voltage, Ea at the motor's rated conditions? (c) What is the maximum power of the motor at the rated conditions? (d) What is the maximum generated voltage, Ea could be at 500 r/min? (e) Assuming that the applied voltage Vo is de-rated by the same amount as Ea, what is the maximum power the motor can supply at 500 r/min?
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