An Approach to Designing Controllers of Doubly Salient Electric Machines

Abstract

In this paper a time varying control for doubly salient machines is proposed. The mathematical model of a switched reluctance motor drive (a typical representative of doubly salient machines) can be represented as a linear time variant system, if the rotor angular velocity is assumed constant. A Floquet transformation is derived which makes it possible to represent the same system as a linear time invariant model with a time dependent control. Next, a torque follower control is proposed for the new model. It was possible to obtain an explicit (closed form) solution for the nonlinear control which is feasible in real time. Conceptually this approach can be used for any other time variant system and serve the same purpose as control design via feedback linearization for nonlinear systems. For the class of time variant systems the feedback linearization results have not been studied yet.