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A 6-pole 3-phase induction motor is coupled with a 2-pole single-phase induction motor, and both the motors run on 50 Hz supply voltage. The frequency of the emfs at the rotor terminals when the single-phase motor is driven in the direction of the induction motor stator rotating field is and the rotor frequency when the same motor is driven in the direction opposite to the induction motor stator rotating field is?
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A 6-pole 3-phase induction motor is coupled with a 2-pole single-phase...
Understanding Motor Coupling
When a 6-pole 3-phase induction motor and a 2-pole single-phase induction motor are coupled, various factors influence their operation under a 50 Hz supply. The synchronous speeds of these motors can be calculated first.
Synchronous Speed Calculation
- 6-pole 3-phase induction motor synchronous speed:
Synchronous speed (Ns) = (120 × Frequency) / Number of Poles
Ns = (120 × 50) / 6 = 1000 RPM
- 2-pole single-phase induction motor synchronous speed:
Ns = (120 × Frequency) / Number of Poles
Ns = (120 × 50) / 2 = 3000 RPM
Frequency of EMFs at Rotor Terminals
1. When the single-phase motor is driven in the same direction as the induction motor's rotating field:
- The rotor of the single-phase motor experiences the field created by the 3-phase motor.
- The frequency of the EMFs (Fr) at the rotor terminals can be found using:
Fr = Slip × Synchronous Speed
- Assuming the slip is negligible when driven in the same direction, the frequency of the induced EMFs is effectively equal to the supply frequency, which is 50 Hz.
2. When the single-phase motor is driven in the opposite direction to the induction motor's rotating field:
- In this case, the rotor experiences an opposite rotating field.
- The effective slip increases, resulting in a frequency of EMFs that can be calculated as:
Fr = Supply Frequency + (Slip × Synchronous Speed)
- This yields a frequency at the rotor terminals of 100 Hz.
Conclusion
- Same Direction (Driving): EMF Frequency = 50 Hz
- Opposite Direction (Driving): EMF Frequency = 100 Hz
Understanding these principles ensures efficient operation and compatibility between coupled motors in various applications.
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A 6-pole 3-phase induction motor is coupled with a 2-pole single-phase induction motor, and both the motors run on 50 Hz supply voltage. The frequency of the emfs at the rotor terminals when the single-phase motor is driven in the direction of the induction motor stator rotating field is and the rotor frequency when the same motor is driven in the direction opposite to the induction motor stator rotating field is?
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A 6-pole 3-phase induction motor is coupled with a 2-pole single-phase induction motor, and both the motors run on 50 Hz supply voltage. The frequency of the emfs at the rotor terminals when the single-phase motor is driven in the direction of the induction motor stator rotating field is and the rotor frequency when the same motor is driven in the direction opposite to the induction motor stator rotating field is? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 6-pole 3-phase induction motor is coupled with a 2-pole single-phase induction motor, and both the motors run on 50 Hz supply voltage. The frequency of the emfs at the rotor terminals when the single-phase motor is driven in the direction of the induction motor stator rotating field is and the rotor frequency when the same motor is driven in the direction opposite to the induction motor stator rotating field is? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 6-pole 3-phase induction motor is coupled with a 2-pole single-phase induction motor, and both the motors run on 50 Hz supply voltage. The frequency of the emfs at the rotor terminals when the single-phase motor is driven in the direction of the induction motor stator rotating field is and the rotor frequency when the same motor is driven in the direction opposite to the induction motor stator rotating field is?.
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