Application of the magneto-mechanical and thermal model to study the Linear Stepping Motors

Abstract

This paper presents a magneto-mechanical and thermal model to study the dynamic performances and to investigate the temperature of tubular linear stepping motors. The studied tubular linear stepping motors are the classical tubular Linear Switched Reluctance Stepping Motor (LSRSM). The magneto-mechanical model is developed and applied to study the dynamic performances of tubular linear stepping motors. This model is based on the nonlinear electromagnetic equations expressed in terms of magnetic vector potential solved using the finite element method while incorporating the Newton-Raphson algorithm for the magnetic nonlinearity treatment. The sequential coupling between the electromagnetic and mechanical equations is carried out, firstly through the magnetic force, and secondly by the modified flux distribution due to the moving parts displacement simulated by the Macro-element method. The Thermal model is developed and applied to evaluate the temperature in the motors. This model is based on the resolution of the thermal equation solved by the finite element method where the source term is the power density generated in the coils.