Modeling and Simulation of an induction machine in the abc-reference frame using inversion of a matrix by partitioning

Abstract

This paper describes an alternative mathematical model for simulation of a symmetrical induction machine in the abc-reference frame. It has been mathematically proven that the inverted matrix can be computed without the need of matrix inversion. Instead the elements in main diagonal of the inverted matrix are precomputed and the elements of the secondary matrix are calculated only as a function of the rotor angle. The performance of the model has been verified by comparison with the conventional model which uses matrix inversion. The comparison has been done by observing the induction machine variables during free (no-load) acceleration and showed no differences in the results between the two models. The comparison has also shown that model proposed in this paper needs less computational effort.