b) A 20kW, 4-pole induction motor is designed to operate from a 440V, 50Hz, three-phase supply, and when operating at full power on this supply it runs at 1470RPM. The motor efficiency is 90% under both conditions. (i) What supply frequency will be needed to make this motor run at 1270RPM while delivering a shaft power of 12.5kW? (ii) If the motor were supplied from a sinusoidal variable frequency source, what voltage and current will need to be supplied to it when running at 1365 RPM at 12.5kW if the power factor of the motor is 0.85?

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b) A 20kW, 4-pole induction motor is designed to operate from a 440V, 50Hz, three-phase
supply, and when operating at full power on this supply it runs at 1470RPM. The motor
efficiency is 90% under both conditions.
(i) What supply frequency will be needed to make this motor run at 1270RPM while
delivering a shaft power of 12.5kW?
(ii) If the motor were supplied from a sinusoidal variable frequency source, what
voltage and current will need to be supplied to it when running at 1365 RPM at
12.5kW if the power factor of the motor is 0.85?
Transcribed Image Text:b) A 20kW, 4-pole induction motor is designed to operate from a 440V, 50Hz, three-phase supply, and when operating at full power on this supply it runs at 1470RPM. The motor efficiency is 90% under both conditions. (i) What supply frequency will be needed to make this motor run at 1270RPM while delivering a shaft power of 12.5kW? (ii) If the motor were supplied from a sinusoidal variable frequency source, what voltage and current will need to be supplied to it when running at 1365 RPM at 12.5kW if the power factor of the motor is 0.85?
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