A Linear Mapping Hysteresis Model Based on Theory of Microscopic Polarization
In this paper, the underlying anhysteretic polarization is quantified through constitutive equations derived using Boltzmann statictics and Langevin model. The remanent polarization and the irreversible polarization are analyzed. A thermodynamic description of ferroelectric phenomena is proposed to address the coupling relations between electrical field and mechanical field by considering the series expansion of the elastic Gibbs energy function. A simple linear mapping hysteresis model based on theory of microscopic polarization is derived. In order to evaluate the effectiveness of the proposed model, a micro-positioning stage driven by the PZT in open-loop operation was used to test. The experimental results show that the proposed hysteresis model could precisely describe hysteresis phenomena. The fitting error is within 0.5%.
Jinglong Bu, Pengcheng Wang, Liqun Ai, Xiaoming Sang, Yungang Li
C. H. Ru et al., "A Linear Mapping Hysteresis Model Based on Theory of Microscopic Polarization", Advanced Materials Research, Vols. 287-290, pp. 2892-2897, 2011