Magnetic Field Analysis of Coplanar Coils and Linear Magnetic Materials Using the Equivalent Permanent Magnetization and Magnetic Scalar Potential

IF 1.9 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
Jong Oh Park;Jun Seong Lee;Il Han Park
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引用次数: 0

Abstract

For coplanar coils characterized by homogeneous current density, magnetic field analysis by total magnetic scalar potential formulation was made possible for all regions by transforming the current density into equivalent permanent magnetization. Such total scalar potential formulation significantly reduces the computational cost. The equation for equivalent permanent magnetization and its magnetic scalar potential formulation were suggested in previous research. However, the modeling method, which includes materials with permeability or permanent magnetization, was not introduced. This article proposes a generalized method for analyzing coplanar coils in the presence of magnetic materials. This method utilizes a total magnetic scalar potential formulation, its variational formulation, and its application to the finite element method (FEM). The magnetic scalar potential formulation of permanent magnets with high permeability is also provided for contrast to fully generalize the method and prevent possible confusion between the two formulations. To demonstrate the feasibility and usefulness of the proposed method, the results of the magnetic field analysis using the scalar potential formulation are compared with the analytical solution of a spherical coil and the results obtained from the conventional vector potential formulation.
用等效永久磁化和磁标量势分析共面线圈和线性磁性材料的磁场
对于电流密度均匀的共面线圈,通过将电流密度转换为等效永磁化强度,可以用全磁标量势公式对所有区域进行磁场分析。这种总标量势公式显著降低了计算成本。在前人的研究中,提出了等效永久磁化方程及其磁标量势表达式。然而,没有介绍包括磁导率和永磁化材料在内的建模方法。本文提出了一种分析有磁性物质存在的共面线圈的通用方法。该方法利用了总磁标量势方程及其变分公式,并将其应用于有限元法(FEM)。本文还提供了高磁导率永磁体的磁标量势公式作为对比,以充分推广该方法,防止两种公式之间可能产生的混淆。为了证明该方法的可行性和实用性,将标量势公式与球形线圈的解析解和传统矢量势公式的磁场分析结果进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
IEEE Transactions on Magnetics
IEEE Transactions on Magnetics 工程技术-工程:电子与电气
CiteScore
4.00
自引率
14.30%
发文量
565
审稿时长
4.1 months
期刊介绍: Science and technology related to the basic physics and engineering of magnetism, magnetic materials, applied magnetics, magnetic devices, and magnetic data storage. The IEEE Transactions on Magnetics publishes scholarly articles of archival value as well as tutorial expositions and critical reviews of classical subjects and topics of current interest.
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