Non-linear modeling and control of some classes of induction machine

Abstract

The aim of this paper is to analyze and to compare different methods of modeling, by means of non-linear state space approach, some classes of induction machine. From an electrical engineer point of view, the problem is not very new but it has never been related to automatic control since the methods applied to AC machine are still very empirical. What we are going to present is related to previous works from PARK and KRON which are involved in mathematical modeling of AC machines in order to study transient performances.

In the first part of the paper, we present different methods to elaborate the mathematical model of three phase induction machine with the assumption of linear flux analysis. Our purpose is to give explicit state space models which are very useful in order to perform identification or control of the machine associated with a drive. In the second part of the paper, a non-linear flux analysis extension is given in order to develop a more accurate model. The third part of the paper is dedicated to some remarks about non-linear control of the induction machine derived from the previous models.