一种新的动态矢量Preisach磁滞模型

A New Preisach Model of Hysteresis for the Dynamic Vector

基于Mayergoyz等的非线性Preisach模型，通过该模型在各个方向上进行矢量迭加，并通过在Preisach分布函数中引入与输出变化速度相关项，导出了一个新的动态矢量Preisach磁滞模型．分别从二维、三维情况下分布函数的有限傅立叶展开式出发，通过引入沿测试方向的弛豫时间，推出了二维、三维情况下新模型中分布函数的数学表达式．新的磁滞模型能较好地描述磁化过程的动态矢量可逆行义及材料的各向异性特性，还可以描述任意阶的微小回线变化规律．

A new Preisach model of hysteresis for the dynamic vector is derived from the Mayergoyz's nonlinear Preisach model by carrying out vectorial superposition in all directions and with the introduction of the terms correlated to the variable output speed in a Preisach distribution function. By using finite Fourier series expansion of the distribution function in both two-dimensional and three-dimensional cases and with the introduction of the relaxation time of the testing direction, the mathematical expressions for the distribution function for both cases are obtained, respectively. The reversible behavior of the dynamic vector during magnetization and the anisotropy of the material as well as the tiny loop variation of any order can be well described with the new hysteresis model.