Accurate calculation of hysteresis properties of magnetic materials is of great significance for the optimal design of electromagnetic devices. At the state of the art, the J-A model is widely used in the FEM procedures as it is easy to implement. However, the existing J-A models relying on the parameters identified by the static limiting hysteresis loops can only ensure the accurate calculation of grain-oriented (GO) silicon steel sheets at high magnetic densities, which have relatively poor calculation accuracy at low magnetic densities1. Aiming at this problem, this paper proposes an improved J-A model, which can accurately and quickly calculate the global hysteresis loops of GO silicon steel sheets with only a small amount of data.
II Method and Discussion
As shown in Fig. 1, an improved anisotropic J-A model suitable for GO silicon steel sheets is proposed introducing the some variable parameters. To solve the problem of low calculation accuracy when the magnetized state of the material is far from saturation, a damping factor R is introduced to correct the irreversible changing susceptibility of the J-A model. Meanwhile, the pinning coefficient k and domain flexing coefficient c of the J-A model are assumed that should be changed with the magnetic flux density B. It can be seen from Fig.2 (a, b, c) that the parameters k, c, and R have a good functioning relationship with the magnetic flux density B, so the parameters under the remaining magnetic flux densities can be quickly obtained. The velocity-controlled particle swarm (VCPSO) algorithm is used to identify various parameters2. The calculation results are shown in Fig 2 (d), which are in good agreement with the experimental data.
III Conclusion
This paper presents an improved anisotropic J-A model by introducing a damping factor R and considering the parameter R, k and c are as a function of magnetic flux densities. Obtained results show that the proposed model can accurately and quickly simulate the global hysteresis characteristic of GO silicon steel sheets.
References:
1 Podbereznaya I, Pavlenko A . Accounting for dynamic losses in the Jiles-Atherton model of magnetic hysteresis - ScienceDirectJ. Journal of Magnetism and Magnetic Materials, 2020, 513.
2 Chen L , Yi Q , Tong B , et al. Parameter identification of Preisach model based on velocity-controlled particle swarm optimization methodJ. AIP Advances, 2021, 11(1):015022.

Fig.1. Improved J-A Model Calculation Process

Fig.2. (a) Parameter k=f(B). (b) Parameter c=f(B). (c) Parameter R=f(B). (d) The simulation curve is compared with the measured data.