Induction Motor Power Factor

king-ephraim

king-ephraim

A 3-phase, 15-hp induction motor is rated at 230 V, 500 Hz, 5800 rpm. Calculate the slip.

flux

To calculate slip, use the formula
Slip=Ns−NrNs ,\Large \text{Slip}=\frac{N_s - N_r}{N_s}\,,
where
• (N_s) is the synchronous speed
• (N_r) is the rated (rotor) speed
For a 3-phase machine, the synchronous speed is given by
Ns=120⋅fp .\Large N_s=\frac{120\cdot f}{p}\,.
A rated rotor speed of 5800 rpm is very close to a synchronous speed of 6000 rpm, which suggests the motor is designed as a 10‐pole machine (with 5 pole pairs) at 500 Hz, because then
Ns=120⋅50010=6000 rpm .\Large N_s=\frac{120\cdot500}{10}=6000\,\text{rpm}\,.
Now, the slip is
Slip=6000−58006000≈0.0333 or 3.33% \Large \text{Slip}=\frac{6000 - 5800}{6000}\approx0.0333\ \text{or}\ 3.33\%\,
Thus, the slip is approximately 3.33%.
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