Induction motor equations question

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SUMMARY

The discussion focuses on the equations related to induction motors, specifically the rotor speed equations: \( w_r = s w_s \) and \( w_r = w_s - \frac{p}{2} w \). Both equations are used to calculate rotor speed, where \( s \) represents slip, \( w_r \) is the rotor speed, and \( w_s \) is the synchronous speed of the stator's rotating magnetic field. The slip is defined as \( s = 1 - \frac{w_r}{w_s} \), typically expressed as a percentage. Understanding these equations is crucial for analyzing the performance of induction motors.

PREREQUISITES
  • Understanding of induction motor principles
  • Familiarity with synchronous speed calculations
  • Knowledge of slip in electrical machines
  • Basic grasp of rotational dynamics in motors
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  • Study the derivation of induction motor speed equations
  • Learn about the impact of slip on motor efficiency
  • Explore the role of rotor resistance in induction motors
  • Investigate the effects of load on rotor speed and slip
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Electrical engineers, students studying motor control systems, and professionals involved in the design and analysis of induction motors will benefit from this discussion.

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Homework Statement



I came across these two equations in a chapter on induction motors, and I was wondering if they both calculate the same thing?

##w_r=sw_s##
##w_r=w_s - \frac{p}{2}w##

Homework Equations



The Attempt at a Solution


s is the slip, ##w_r## and ##w_s## are the rotor and stator speed
 
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By stator speed, I assume you mean the synchronous speed of the rotating field. I take slip to be:

s = 1-wr/ws.

and usually X100 for %slip.
 

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