Research Initiation Award: Techniques for Modeling of Electromagnetic Systems with Hysteresis on a Digital Computer

有许多材料具有一定的智商，允许他们根据自己的历史调整自己的行为。这一特性有时被称为滞后。由于没有足够的分析或计算机工具可用来预测，因此设备和系统的设计常常因滞后的存在而变得复杂在这种情况下的各种物理参数和属性。本项目的目标是开发具有滞环的电磁系统建模的计算方法。本文将围绕以下两个问题展开研究。其一是发展和选择能够准确描述本构关系的滞回数学模型。另一个是基于麦克斯韦方程的电磁场计算方法的发展和宪法法律。具有磁滞的电磁场问题的计算方法以前仅在静态磁场的背景下讨论过。本文的目的是改进已有的磁滞媒质中的场计算方法，并将其推广到电磁场问题。磁场和涡流。为此，将使用一种新的、更一般的滞后模型。有限元技术也被推荐用于这些计算，因为强大的工具用于在有限元方法是现成的。

There are many materials which posses a certain degree of intelligence allowing them to adjust their behavior on the basis of their history. This property is sometimes referred to as hysteresis. Design of devices and systems is often complicated by the presence of hysteresis because no adequate analytical or computer tools are available to predict various physical parameters and properties in this case. It is the objective of this project to develop computational methods for modeling of electromagnetic systems with hysteresis. The research will focus on the following two problems. One is the development and selection of mathematical models of hysteresis which can accurately represent constitutive laws. The other is the development of computational methods which can be used to determine electromagnetic fields on the basis of Maxwell's equations and constitutive laws. Computational methods for electromagnetic field problems with hysteresis have been addressed previously in the context of static magnetic fields only. It is the goal here to improve the existing methods of field computation in media with hysteresis and extend them to problems involving electric fields and eddy currents. To this end, a new, more general hysteresis model will be used. Finite element techniques are also suggested for these computations because powerful tools for modeling of different geometries in the context of the finite element method are readily available.