Question 13.21: Total Power Transferred to the Rotor from Stator The torque ...

Total Power Transferred to the Rotor from Stator

The torque at the load of a three-phase, 60-Hz, six-pole induction motor is 150 N m. The frequency of the emf induced in the rotor is 4 Hz. Mechanical losses are 500 W. Calculate the total power available to the rotor from the stator.

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To calculate the synchronous speed, use Equation (13.39):

N=\frac{120 \cdot f}{P}     (13.39)

N_{s}=\frac{120 \times f}{P}=\frac{120 \times 60}{6}=1200 rpm

Next, the full-load slip corresponds to:

s=\frac{f_{R}}{f}=\frac{4}{60}=0.067

Thus:

N=(1-s) N_{s}=1119.6 rpm

Now, using Equation (13.52):

P_{m}=T \times \frac{2 \pi N}{60}=150 \times 117.71=17,656  W

Therefore, the total power available to the rotor is:

P_{r}=P_{m}+P_{c}=17,656+500=18.16 KkW

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