Licchavi Lyceum

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Licchavi Lyceum

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Slip in an induction motor is the difference between the speed of the rotating magnetic field (synchronous speed) and the actual speed of the rotor. It is a crucial concept because torque is produced only due to slip; without slip, the motor cannot operate.

The mathematical expression for slip is:

$$ s = \frac{N_s – N_r}{N_s} $$

where:

  • $N_s$ = Synchronous speed (RPM)
  • $N_r$ = Rotor speed (RPM)
  • $s$ = Slip

🔹 Key Points about Slip

  • Slip is expressed as a fraction or percentage:

    $$ \text{Slip (\%)} = s \times 100 $$

  • The rotor never reaches synchronous speed.
  • If $N_r = N_s$, then slip = 0:
    • No relative motion
    • No induced EMF
    • No torque is produced
  • Slip provides the necessary relative motion between:
    • Rotating magnetic field (stator)
    • Rotor conductors

🔹 Physical Interpretation

The stator produces a magnetic field rotating at synchronous speed, and the rotor tries to follow it. However, the rotor always lags behind slightly. This lag is called slip.

In simple terms:

  • The rotor is continuously trying to catch up with the rotating field
  • But it always stays slightly behind, which keeps the motor running

🔹 Typical Values of Slip

  • No load: Slip ≈ 0.5% to 1%
  • Full load: Slip ≈ 2% to 6%

🔹 Important Conditions

  • Slip = 0:
    • $N_r = N_s$
    • No torque → Motor cannot operate
  • Slip = 1:
    • Rotor is stationary (starting condition)
    • Maximum relative motion

Conclusion: Slip is a small but essential difference in speed that enables electromagnetic induction and torque production in an induction motor.