Purpose

The thermally extended Tellinen model (Kühn et al., to appear) is here investigated and equipped with a hysteresis loss model, while preserving its simple structure.

Design/methodology/approach

As in the original model, these approaches are based upon phenomenal observations and measured saturation curves. The authors start with the original model and step-by-step add their extensions, such that in the end they can apply the extended model in a finite element method (FEM) simulation. During the process, care is taken to ensure that the applicability in a FEM simulation is not impaired, in terms of memory requirements and computing power.

Findings

In comparison to the original model, this extended model needs some further requirements and so is a little bit more limited in its application. It is in itself coherent and well defined. The authors provide an on-the-fly algorithm computation of hysteresis losses. First numerical results for a coupled field/thermal system show expected behavior.

Originality/value

The original model (Tellinen, 1998) does not take temperature into account. It includes a model for calculating hysteresis losses, but it differs largely from the approach presented here. The thermal extension is now also equipped with an on-the-fly method for hysteresis losses. Furthermore, the authors provide some analysis of simple, stable loops.

中文翻译：

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Tellinen 滞后模型的热扩展和损耗模型

目的

这里研究了热扩展的 Tellinen 模型（Kühn等人，出现）并配备了滞后损耗模型，同时保留了其简单的结构。

设计/方法/方法

与原始模型一样，这些方法基于现象观察和测量的饱和度曲线。作者从原始模型开始，逐步添加扩展，以便最终可以将扩展模型应用到有限元法 (FEM) 模拟中。在此过程中，注意确保 FEM 模拟中的适用性不受内存要求和计算能力的影响。

发现

与原始模型相比，此扩展模型需要一些进一步的要求，因此在其应用方面受到了一些限制。它本身是连贯的且定义明确的。作者提供了滞后损耗的动态算法计算。耦合场/热系统的第一个数值结果显示了预期的行为。

原创性/价值

原始模型 (Tellinen, 1998) 没有考虑温度。它包括一个用于计算滞后损耗的模型，但它与此处介绍的方法有很大不同。热扩展现在还配备了用于滞后损耗的动态方法。此外，作者还对简单、稳定的循环进行了一些分析。