2-D quasi-static Fourier series solution for a linear induction motor

Abstract

Purpose

This paper aims to present a method for calculating electromagnetic fields, eddy currents and forces for a quasi-static two-dimensional (2-D) model of linear induction motors (LIMs) where the primary side is modeled as a collection of individual coils.

Design/methodology/approach

An analytical solution using Fourier series is derived for a general source with current excitations residing in an airgap and moving relative to a conducting plate and back iron. Ideal magnetic material with infinite permeability is used to model the primary iron above the primary source and the back iron below the conducting plate.

Findings

The analytical solution is compared to a commercial 2-D finite element analysis (FEA) simulation for validation and then compared to a 2-D FEA model with a more detailed geometry of the LIM. The analytical model accurately predicts LIM thrust even though the geometry of the primary core is simplified as an infinitely long flat slab. 2-D frequency FEA can be used successfully to predict in motion LIM performance.

Originality/value

The analytical solution presented here models the primary excitations as individual discrete coils instead of current sheets, which all existing models are based on. The discrete coils approach provides a more intuitive and realistic model of the LIM.

Citation

Woronowicz, K., Abdelqader, M., Palka, R. and Morelli, J. (2018), "2-D quasi-static Fourier series solution for a linear induction motor", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 37 No. 3, pp. 1099-1109. https://doi.org/10.1108/COMPEL-06-2017-0247