MATHEMATICAL-MODELS OF HYSTERESIS
MATHEMATICAL-MODELS OF HYSTERESIS
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DOI：
10.1103/physrevlett.56.1518
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发表时间：
1986-04-14
影响因子：
8.6
通讯作者：
MAYERGOYZ, ID
中科院分区：
文献类型：
--
作者：
MAYERGOYZ, ID
描述了磁滞标量 Preisach 模型的新方法，强调其唯象本质和数学通用性。报道了该定理，它给出了标量 Preisach 模型表示实际磁滞非线性的充分必要条件。该定理的意义在于，无论磁滞的物理性质如何，它都确定了 Preisach 模型的适用范围。然后，制定了矢量Preisach模型，并简要总结了这些模型的一些基本性质。讨论了 Preisach 模型的数值实现并给出了一些计算结果。
A new approach to the scalar Preisach model of hysteresis, which emphasizes its phenomenological nature and mathematical generality, is described. The theorem, which gives the necessary and sufficient conditions for the representation of actual hysteresis nonlinearities by the scalar Preisach model, is reported. The significance of this theorem is that it establishes the limits of applicability of Preisach's model regardless of the physical nature of hysteresis. Then, the vector Preisach models are formulated and some basic properties of these models are briefly summarized. Numerical implementations of Preisach's models are discussed and some computational results are given.