Modeling of hysteresis loop and its applications in ferroelectric materials

Abstract

Abstract. In order to understand the physical hysteresis loops clearly, we constructed a novel model, which is combined with the electric field, the temperature, and the stress as one synthetically parameter. This model revealed the shape of hysteresis loop was determined by few variables in ferroelectric materials: the saturation of polarization, the coercive field, the electric susceptibility and the equivalent field.Comparison with experimental results revealed the model can retrace polarization versus electric field and temperature. As a applications of this model, the calculate formula of energy storage efficiency, the electrocaloric effect, and the P(E,T) function have also been included in this article.

Improvement of ferroelectric properties via Zr doping in barium titanate nanoparticles

“…The energy loss density during discharge W Loss could be obtained by integrating the area between charging and discharging curves of the P-E hysteresis loops [43,[45][46][47]. Figure 6e illustrates the domains of those integrations.…”

Interactive human–machine learning framework for modelling of ferroelectric–dielectric composites

“…9,10 Modelling of spontaneous polarization, dielectric properties, ferroelectric to paraelectric phase transition taking effect at Curie point (T c ) and structural properties of ferroelectric materials have been extensively scrutinized with both atomic level and numerical simulations. [11][12][13] With the advancement of material characterization techniques in later years, some of the specific behaviours such as domain-wall motions, defects causing the pinning effect, negative capacitance and the presence of local dipole components in the paraelectric region have been experimentally identified and been considered in the theoretical models. [14][15][16][17][18] However, the first principle calculations are computationally expensive and theoretical modelling requires a profound knowledge on the physical phenomena of the material.…”

Robust adaptive fuzzy sliding mode controller for nonlinear uncertain hysteretic systems

“…The hysteresis nonlinearity is a phenomenon that exists in various fields and sciences such as physics, chemistry and mechanics (Beriozkin and Mualem, 2018; Changsh and Jianxin, 2018; Lee et al, 2018; Lim et al, 2018; Sepehri-Amin et al, 2018; Rémond et al, 2018; Weng et al, 2018; Zhang et al, 2018b). This property is undesirable in ferroelectric and ferromagnetic materials, mechanical and electrical systems, rechargeable batteries and many other systems (Agrawal and Bhattacharya, 2018; Dai et al, 2018; Lian et al, 2018; Ma et al, 2018b; Rebai et al, 2015c; Schaler et al, 2018; Zhang et al, 2018a). For this reason, the topic of modeling and control of hysteretic systems have been widely studied over the last years.…”