STABILITY AND STARTING TIME OF INDUCTION MOTOR

1.)

The Rotor Cu loss = Slip * Rotor Input

This is evident by considering the working of a mechanical clutch, used in automobiles. By visualizing the figure of the plate clutch, it is evident that the torque on the drive shaft must be equal to the torque on the driven shaft. Further, it should be emphasized that these two torques are the one and the same because the torque is caused by the friction between the two plates.

Let ω1 and ω2 be the angular velocities on these two shafts assuming the plate clutch is slipping.

Then input = T*ω1

Output= T* ω 2

But ω 2 = ω 1*(1-s)

So output = T* ω 1*(1-s)

Loss = T* ω 1 – T* ω 2

Loss = T* ω 1 – T ω 1*(1-s)

Loss = s * T ω 1

Thus

Loss = slip * input.

2.)

3.)