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

有许多材料， 在一定程度上 智能使他们能够 调整他们的行为 他们的历史。 此属性是 有时称为 滞后现象 设备设计和 系统往往因 滞后的存在，因为没有 充分的分析或计算机 我们有工具可以预测 各种物理参数， 房地产在这种情况下 是 本项目的目标是 发展计算方法， 电磁系统建模 滞后。 研究将集中在 以下两个问题。 一是 发展和选择 迟滞数学模型 它可以准确地代表 构成法 另一个是 计算的发展 可用于 确定电磁场 麦克斯韦方程组的基础 和宪法。 的计算方法 电磁场问题 已经解决了滞后现象 以前在静态环境中， 只有磁场。 是 目标是改善现有的 场计算方法 滞延介质 他们的问题涉及电力 场和涡流。 本 结束时，一个新的，更普遍的滞后 模型将被使用。 有限元 技术也建议， 这些计算因为强大的 不同的建模工具 几何体的背景下， 有限元法很容易 available.

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.