Chapter 16, Problem 25P

The torque transmitted to an induction motor is a function of the slip between the rotation of the stator field and the rotor speed s where slip is defined as

$s=\frac{n-n_R}{n}$

where $n=$ revolutions per second of rotating stator speed and n $n_R=$ rotor speed. Kirchhoff's laws can be used to show that the torque (expressed in dimensionless form) and slip are related by

$T=\frac{15\left(s-s^2\right)}{\left(1-s\right)\left(4s^2-3s+4\right)}$

Figure P16.25 shows this function. Use a numerical method to determine the slip at which the maximum torque occurs.

FIGURE P16.25

Torque transmitted to an inductor as a function of slip.