An Educational Study of Electromagnetic Phenomena on Ferromagnetic Structure Using a Software Environment

IF 0.8 4区 综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2023-12-16 DOI:10.1007/s40010-023-00864-6
Necibe Fusun Oyman Serteller
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Abstract

The solution to electromagnetic problems relies on complex numerical differential equations that are difficult to understand. Therefore, it is crucial to analyze them step by step and visualize them in a computer environment, even by developing a program. This approach enhances understanding of the subject and facilitates further research. In this study, an electromagnetic phenomenon is examined on a ferromagnetic structure using the Maxwell 2D static-elliptical partial differential equation within a developed software environment. The paper covers all aspects, ranging from the mathematical model and analysis solution to the fundamental operating parameters and characteristics, with a focus on educational purposes. The modeling and software development have been executed in a user-friendly manner, enabling students to apply various numerical techniques to practical problems while maintaining control over the entire modeling process. Through this study, it is anticipated that the transition from theory to practice can be facilitated more smoothly and directly. The theoretical analysis has been conducted using Mathematica software, and a comparison with finite element magnetic method simulation on a typical magnetic structure has been presented to illustrate the analogy. A comprehensive analysis of the Maxwell static-elliptical electromagnetic equation, based on a 2D numerical solution within a specific domain, has been performed in a detailed and unambiguous manner, utilizing different equation forms, boundary conditions, and ferromagnetic materials, all for educational purposes.

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利用软件环境对铁磁结构电磁现象的教育研究
电磁问题的解决依赖于难以理解的复杂数值微分方程。因此,在计算机环境下,甚至通过开发一个程序来逐步分析这些问题并将其可视化是至关重要的。这种方法有助于加深对这一课题的理解,促进进一步的研究。在本研究中,我们在开发的软件环境中使用麦克斯韦二维静椭圆偏微分方程研究了铁磁结构上的电磁现象。论文涵盖了从数学模型和分析解决方案到基本运行参数和特性的各个方面,重点在于教育目的。建模和软件开发以用户友好的方式进行,使学生能够将各种数值技术应用于实际问题,同时保持对整个建模过程的控制。通过这项研究,预计可以更顺利、更直接地促进从理论到实践的过渡。本研究使用 Mathematica 软件进行理论分析,并将其与有限元磁法模拟典型磁性结构进行了比较,以说明其中的类比关系。以特定域内的二维数值解为基础,利用不同的方程形式、边界条件和铁磁材料,对麦克斯韦静椭圆电磁方程进行了详细而明确的全面分析,所有这些都是为了达到教学目的。
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来源期刊
CiteScore
2.60
自引率
0.00%
发文量
37
审稿时长
>12 weeks
期刊介绍: To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology
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