In electrical engineering,
slip refers to the difference between the synchronous speed (the speed at which the magnetic field rotates) and the actual speed of the rotor in an induction motor. Slip is a measure of how much slower the rotor is turning compared to the magnetic field.
Formula for Slip:
Slip (\(S\)) can be calculated using the following formula:
\[
S = \frac{N_s - N_r}{N_s} \times 100
\]
Where:
- \(S\) is the slip (in percentage),
- \(N_s\) is the synchronous speed (in revolutions per minute, RPM),
- \(N_r\) is the rotor speed (in revolutions per minute, RPM).
Explanation:
- Synchronous speed (\(N_s\)) is the speed at which the magnetic field of the stator rotates, and it depends on the supply frequency and the number of poles of the motor.
- Rotor speed (\(N_r\)) is the actual speed at which the rotor is rotating.
When a motor is running at synchronous speed (\(N_r = N_s\)), the slip is 0%. In practical motors, the rotor always rotates slower than the synchronous speed, so slip is usually a small positive value.
Example:
If the synchronous speed of a motor is 1500 RPM and the rotor speed is 1450 RPM, the slip would be:
\[
S = \frac{1500 - 1450}{1500} \times 100 = \frac{50}{1500} \times 100 = 3.33\%
\]
This means the rotor is running at 3.33% less speed than the synchronous speed.