Application of the Convolution Theorem for the Modeling of Saturated Induction Motors

This paper proposes a new method for inductance calculation of induction motors (IM) based on the convolution theorem. The integral form leading to the inductance expressions is derived from the 2D modified winding function approach (2D-MWFA). As first application, a model allowing teeth saturation to be taken into account by the corresponding air-gap permeance variation is proposed. The work points out that appropriate arrangements make it possible to use convolution theorem in favor of integral calculation leading to IM inductances. It is shown that the implication of the convolution concept in such a task reduces strongly the calculation process. Moreover, this method proves to be faster than integrations based on conventional methods. Simulation and experimental results confirm the performance and utility of the proposed technique.