Numerical Modeling of the Coupled Electromagnetic and Mechanical Phenomena of Linear Stepping Motors

Abstract

In this paper, we propose an electromagnetic-mechanical model based on the finite element and Macro-Element (ME) technique to analyse and study the dynamic characteristics of a Tubular Linear Switched Reluctance Stepping Motor (LSRSM). After the resolution of the non-linear electromagnetic equation governing the behaviour of the different materials of the motor using the nodal-based finite element method, this equation is then coupled to the mechanical equation firstly through the magnetic force computed by Maxwell stress tensor, and secondly by the modified flux distribution due to the moving part. Because of the precision required in the mobile part displacement and the very small air gap of stepping motors, the simulation of the movement is assured by the Macro-Element (ME) technique compared to other movement techniques that present many disadvantages. The validity of the developed model is verified through the comparison of the computed displacement of the LSRSM moving part with those given experimentally [2]. The Results shows satisfactory agreement. The obtained dynamic characteristics, particularly the starting magnetic force, are obtained by considering two values of the supplying currents

Electric-Magnetic-Mechanical Coupling in Precision Machines

“…Mustapha Zaouia (Zaouia and Benamrouche 2012) proposed an electromagnetic mechanical model based on the finite element and macro element technology and analyzed and studied the dynamic characteristics of the linear switched reluctance stepping motor (LSRSM), as shown in Figs. 17 and 18.…”

Novel Magnetic Circuit Design and Acceleration Calculation of Horizontal Linear Vibration Motor

“…In previous studies, the electromagnetic-mechanical coupling model was used to obtain the displacement of tubular linear stepping motors by using the finite element method and Newton-Raphson algorithm [11]. Kim et al introduced the electromagneticmechanical coupling method and numerical iteration method to obtain the current, displacement and impedance value of vertical linear actuator, considering nonlinear parameters [12].…”