Instantaneous torque in a 3-phase motor

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In a balanced 3-phase system with a constant load, instantaneous power remains constant, leading to the hypothesis that instantaneous torque in a 3-phase induction motor may also be constant throughout each revolution. However, the necessity of slip and the rotor's varying frequency suggest that torque may actually be somewhat inconsistent. The discussion emphasizes the importance of skewed armature slots, which help alleviate magnetic discontinuities and smooth out torque while reducing audible noise. Theoretical exploration of instantaneous torque remains a point of curiosity despite limited resources. Overall, the conversation highlights the complexities of torque behavior in induction motors and the impact of design features like skewed slots.
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This isn't a homework question because nobody assigned it to me. It is a theoretical question however.

I understand that in a balanced 3-phase system with a constant load, instantaneous power is constant. Not "pretty constant" but a flat line. This suggests to me (warning: amateur) that instantaneous torque, in a 3-phase induction motor, might also be constant throughout each revolution, assuming a fixed load. But, given that slip is necessary, and that the rotor experiences a frequency of a few hertz, it may be hopelessly naive to imagine that torque isn't somewhat "bumpy."

Again - this is instantaneous torque I'm thinking of, measured throughout a machine cycle or two, not torque vs. load or any of that usual motory spec stuff. ;-)

I've exhausted the books I have at hand, and I feel as though I've seen every torque curve on the internet by now. Perhaps it's not an important question but it's burning a hole in my curiosity.
 
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Look at an armature and observe the slots are skewed, not parallel to the shaft.

That's done to relieve the magnetic discontinuity as the rotor slots pass under the armature slots, smoothing out torque and reducing audible "hum".

try a search on 'squirrel cage slots skew' . There's a 1948 patent that looks interesting ,,, but on this computer i couldn't read it for some obscure software reason..

http://ecee.colorado.edu/~ecen4517/materials/InductionMotor.pdf

old jim
 
here is a youtube breakout of an AC motor that shows the skew.

 
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You anticipated my follow-up too. Thanks.
 
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