The double-layer approach (DLA) possesses superior features for the analysis of static electromagnetic problems. In this article, dealing with the magnetostatic analysis, we introduce two kinds of double layers: the first one on the surface of the magnetic body and the second one on the cut-surface within the exciting current loop. From the double layers on the cut-surface, we were able to derive a novel, unified exciting potential, which facilitates the treatment of any magnetostatic problem, including multiply connected problems. Furthermore, in this article, we use for the first time DLA for the analysis of magnetic forces acting on the magnetic bodies. The law of action and reaction provides a self-check function within DLA, enabling thus the simple and reliable tool for the confirmation if the computed results are adequate and accurate. This improved, DLA-based approach for the force analysis together with the introduced “action-reaction” principle for the self-checking of the force calculation are, to the authors’ best knowledge, not known in the scientific community so far. Finally, we would like to emphasize that the presented DLA enables accurate, self-checked, generic analysis of the real-world devices, providing advanced treatment of both geometrical singularities (edges, corners) and materials used (high permeability, nonlinearities).

中文翻译：

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双层法评价磁力的研究

双层方法 (DLA) 具有用于分析静态电磁问题的优越特性。在本文中，针对静磁分析，我们介绍了两种双层：第一种位于磁体表面，第二种位于励磁电流回路内的切割面上。从切割面上的双层，我们能够推导出一种新颖的、统一的激发势，这有助于处理任何静磁问题，包括多连接问题。此外，在本文中，我们首次使用 DLA 来分析作用在磁体上的磁力。作用和反应定律在 DLA 中提供了自检功能，从而为确认计算结果是否充分和准确提供了简单而可靠的工具。这种改进的、基于 DLA 的力分析方法以及引入的用于力计算自检的“动作-反应”原理，据作者所知，目前科学界还不知道。最后，我们想强调的是，所提出的 DLA 能够对真实世界的设备进行准确的、自检的、通用的分析，提供对几何奇点（边、角）和所用材料（高磁导率、非线性）的高级处理。