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In the design of a three-phase induction motor. The number of rotor slots should never be __________ the number of stator slots
greater than
lesser than
equal to
Any value
equal to
In a three-phase induction motor, the number of rotor slots (SrтАЛ) must never be equal to the number of stator slots (SsтАЛ). If SrтАЛ=SsтАЛ, the rotor teeth and stator teeth align perfectly at specific positions, causing magnetic locking between the rotor and stator.
In a three-phase induction motor, the number of rotor slots (SrтАЛ) must never be equal to the number of stator slots (SsтАЛ). If SrтАЛ=SsтАЛ, the rotor teeth and stator teeth align perfectly at specific positions, causing magnetic locking between the rotor and stator.
SrтАЛюАа=SsтАЛ тАФ Fundamental design constraint to avoid cogging
P=number┬аof┬аpoles тАФ Relates to harmonic torque development
When SrтАЛ=SsтАЛ, the reluctance of the magnetic path becomes minimum due to the alignment of teeth. This creates a phenomenon known as 'cogging' or 'magnetic locking,' which prevents the motor from starting. Additionally, equality in slots causes high-frequency torque pulsations, leading to excessive noise, vibrations, and undesirable noise interference during operation.
Cogging is the tendency of the rotor to 'lock' with the stator slots.
Magnetic locking occurs due to minimum reluctance when teeth align.
Designers often select SrтАЛ such that SrтАЛ is not a multiple of SsтАЛ.
Skewing of rotor slots is also used to minimize cogging and noise.
Smooth motor acceleration
Reduced noise and vibration
Elimination of dead-start points
Complex manufacturing for non-standard slot counts
Increased leakage reactance if slot combinations are poorly chosen
Squirrel cage induction motors
High-efficiency industrial drive motors
Standard practice suggests that SrтАЛ should not be SsтАЛ┬▒P or SsтАЛ┬▒2P to avoid synchronous crawling.
Option B is incorrect because having a different number of slots is a design requirement, not a restriction against being lesser than.
C is correct тАФ Equality leads to magnetic locking (cogging) which prevents the induction motor from starting effectively.
Always remember that in electrical machines, symmetry is generally good for balance, but periodic structural symmetry (like equal slots) creates detrimental magnetic harmonics.