Novel method for modeling slot harmonics in induction machines based on block matrix inversion

Abstract

This paper presents a novel method for modeling a wound rotor induction machine (IM) with slot harmonics. To decrease the computation times by eliminating the matrix inversion, a reluctance matrix (RM) based model of an induction machine is developed. This model, however, is a fundamental-wave model which doesn't consider the slotting in the machine. The model enhancement introduced in this paper allows the implementation of the higher harmonics. The proposed model with slot harmonics was compared with the model based on matrix inversion in order to highlight the speedup in computation time. An experimental setup consisting of a 4.2 kW IM with wound rotor connected to a DC machine is described. The experimental measurements were used for the verification of the proposed model.