A hysteresis nonlinear model of giant magnetostrictive transducer

Abstract

In order to describe the hysteresis nonlinear performance of giant magnetostrictive transducer, based on the relationship between complex permeability and magnetization, eddy current effects of Terfenol-D, and kinetic characteristic of giant magnetostrictive transducer, a new hysteresis nonlinear model is developed, which consists of quasi-static model and dynamic model considering eddy current effect of Terfenol-D, dynamic of power amplifier, and magnetic aftereffect in the magnetization process. After that, to identify model parameters and improve the accuracy of the proposed model, an experiment platform is established and a modified hysteresis nonlinear model is put forward. Finally, experiments are conducted to demonstrate the effectiveness of the modified model and the corresponding identification method. The modified model prediction results of giant magnetostrictive transducer agree well with experiment results not only under quasi-static operating conditions but also under dynamic operating conditions. Additionally, the proposed model’s parameters have definite physical meaning, but the parameters to be identified are less and model expression is more simple than that of the other hysteresis nonlinear models such as the Jiles–Atherton model. The present model can be used in the simulation and performance prediction of giant magnetostrictive transducer, which is especially suitable for the real-time control system of giant magnetostrictive transducer.