Tension regulation in a metal rolling mill

Abstract

This thesis investigates the design of a strip tension regulator by analytical techniques. The tension transfer function is non-linear and is derived for two conditions, first with only elastic deformation in the strip, and second with plastic flow in the strip resulting from reduction in the roll bite. The resulting transfer function consists of the one developed for elastic deformation with a degenerative feedback around it. This feedback is a result of reduction in the roll gap.

The block diagram of the tension system reduces to a form containing two non-linear expressions. One is a second order equation describing the load and the other is third order equation describing the motor and the load effect on it. The motor is linearized by the addition of a high response armature current regulator. The tension regulator then reduces to a type I third order system.

To compensate for the second order non-linearity in the regulator, a non-linear second order lead circuit is developed. This lead is modified continually as a function of strip velocity as well as coil radius and inertia. With the addition of this compensation, the tension regulator can be analyzed as a type I, first order system.