基于解析Preisach模型的非晶合金磁滞特性模拟

作为一种高磁导率、高频损耗低的软磁材料,非晶合金已广泛应用于高频变压器等电磁装置。如何准确、快速模拟其固有的磁滞特性对设备的优化设计具有重要意义。针对经典Preisach磁滞模型数值求解耗时、分布函数辨识复杂、模拟非晶合金磁滞特性精度低等问题,提出了一种可准确快速模拟非晶合金磁滞特性的解析Preisach模型。首先针对非晶合金不可逆磁化分量分布函数,基于非晶合金磁滞特性曲线实验数据利用特殊解析函数进行拟合,然后在基于积分法得到闭合形式Everett函数的基础上构建了非晶合金不可逆磁化分量。引入了含参双曲正切函数表征非晶合金可逆磁化分量,继而通过线性叠加的方式得到了解析Preisach模型。将该模型对非晶合金磁滞特性模拟结果以及损耗计算结果与实验结果进行对比,发现相对误差小于10%,并且该模型数值求解简单、易于仿真实现,具有较高的准确性与实用性。

Simulation of Hysteresis Characteristics of Amorphous Alloys Based on Analytical Preisach Model

As a soft magnetic material with high permeability and low high-frequency loss,amorphous alloys have been widely used in electromagnetic devices such as high-frequency transformers.How to accurately and quickly simulate its inherent hysteresis characteris-tics is important for the optimal design of equipment.Aiming at the problems of time-consuming numerical solution of classical Preisa-ch hysteresis model,complicated identification of distribution function,and low accuracy in simulating the hysteresis characteristics of amorphous alloys,this paper proposes an analytical Preisach model that can accurately and quickly simulate the hysteresis characteris-tics of amorphous alloys.First,for the distribution function of the irreversible magnetization component of the amorphous alloy,based on the experimental data of the amorphous alloy hysteresis characteristic curve,a special analytical function is used to fit,and then on the basis of obtaining the closed form Everett function based on the integration method,the non-crystalline alloy is constructed.Irre-versible magnetization component of crystal alloy.In addition,a parameter-containing hyperbolic tangent function is introduced to characterize the reversible magnetization component of the amorphous alloy,and then the analytical Preisach model is obtained by line-ar superposition.By comparing the simulation results of the hysteresis characteristics of the amorphous alloy and the calculation results of the loss with the experimental results by the model,it is found that the relative error is less than 10%,and the numerical solution of the model is simple and easy to be realized by simulation,thus verifying the accuracy and practicality of the model.