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A semi-analytical coupled simulation approach for induction heating
Advanced Modeling and Simulation in Engineering Sciences Pub Date : 2021-06-04 , DOI: 10.1186/s40323-021-00199-0
Maialen Areitioaurtena , Unai Segurajauregi , Ville Akujärvi , Martin Fisk , Iker Urresti , Eneko Ukar

The numerical simulation of the induction heating process can be computationally expensive, especially if ferromagnetic materials are studied. There are several analytical models that describe the electromagnetic phenomena. However, these are very limited by the geometry of the coil and the workpiece. Thus, the usual method for computing more complex systems is to use the finite element method to solve the set of equations in the multiphysical system, but this easily becomes very time consuming. This paper deals with the problem of solving a coupled electromagnetic - thermal problem with higher computational efficiency. For this purpose, a semi-analytical modeling strategy is proposed, that is based on an initial finite element computation, followed by the use of analytical electromagnetic equations to solve the coupled electromagnetic-thermal problem. The usage of the simplified model is restricted to simple geometrical features such as flat or curved surfaces with great curvature to skin depth ratio. Numerical and experimental validation of the model show an average error between 0.9% and 4.1% in the prediction of the temperature evolution, reaching a greater accuracy than other analyzed commercial softwares. A 3D case of a double-row large size ball bearing is also presented, fully validating the proposed approach in terms of computational time and accuracy for complex industrial cases.

中文翻译:

一种感应加热半解析耦合仿真方法

感应加热过程的数值模拟在计算上可能很昂贵,尤其是在研究铁磁材料时。有几种描述电磁现象的分析模型。然而,这些受到线圈和工件的几何形状的极大限制。因此,计算更复杂系统的常用方法是使用有限元方法来求解多物理系统中的方程组,但这很容易变得非常耗时。这篇论文涉及以更高的计算效率解决耦合电磁-热问题的问题。为此,提出了一种基于初始有限元计算的半解析建模策略,然后使用解析电磁方程来解决耦合的电磁-热问题。简化模型的使用仅限于简单的几何特征,例如具有较大曲率与趋肤深度比的平面或曲面。该模型的数值和实验验证表明,温度演化预测的平均误差在 0.9% 到 4.1% 之间,比其他分析的商业软件具有更高的准确性。还介绍了双列大型滚珠轴承的 3D 案例,在复杂工业案例的计算时间和准确性方面充分验证了所提出的方法。该模型的数值和实验验证表明,温度演变预测的平均误差在 0.9% 到 4.1% 之间,比其他分析的商业软件具有更高的准确性。还介绍了双列大型滚珠轴承的 3D 案例,在复杂工业案例的计算时间和准确性方面充分验证了所提出的方法。该模型的数值和实验验证表明,温度演化预测的平均误差在 0.9% 到 4.1% 之间,比其他分析的商业软件具有更高的准确性。还介绍了双列大型滚珠轴承的 3D 案例,在复杂工业案例的计算时间和准确性方面充分验证了所提出的方法。
更新日期:2021-06-05
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