Force Prediction Including Hysteresis Effects in a Short-Stroke Reluctance Actuator Using a3d-FEM and the Preisach Model

Abstract

Magnetic hysteresis effects, present in the force of an E-core reluctance actuator, are examined by simulations and measurements. Simulations have been performed with a 3d finite element method (3d-FEM) and a Preisach model, which is extended with a dynamic magnetic equivalent circuit (MEC) model. Both simulation methods are first examined on the prediction of the magnetic flux density in a closed-and open toroid for dc-and ac excitations. Finally, both methods are used to predict the force of the E-core reluctance actuator, which is compared to ac force measurementsperformed with a piezoelectric load cell.

Prediction of Magnetic Hysteresis in the Force of a Prebiased E-Core Reluctance Actuator

“…The excess losses can be modeled with the rate-dependent Preisach model [19]. However, earlier research on the iron losses of the same material [20] showed negligible contribution of excess losses.…”

Nonlinear Current Control for Reluctance Actuator with Hysteresis Compensation

“…For this reason, it is assumed that the I-target is fixed, so that we may investigate the force tracing performance. The reluctance linear actuator with hysteresis is modeled by (5), whose parameters are chosen as in the patent [15]: the maximum force is about 200 N, the maximum gap between the E-core and I-target is 0.4 mm, and the constant = 7.73 × 10 −6 . To reproduce a reluctance actuator model with nonsmooth hysteresis, the parameter 2 of the hysteretic operator would have to be infinitely large.…”

“…A variety of the models and compensation algorithms have been developed for the hysteresis [5]. The classical approach is to construct a hysteresis inverse and use it as a feed-forward compensator [6] together with a feedback control.…”