{"title":"使用二维边界元素法计算包括实心导线和利兹导线在内的多导体系统中的电阻和电感","authors":"Edgar Berrospe-Juarez;Frédéric Sirois","doi":"10.1109/TMAG.2024.3456121","DOIUrl":null,"url":null,"abstract":"Multi-conductor systems can be modeled as multi-port networks made of lumped parameters. In the general case, the computation of such parameters requires the knowledge of the electric and magnetic fields. During the last decades, the finite-element method (FEM) has been widely used to compute the field quantities. Due to the large number of degrees of freedom involved, the application of FEM is prohibitive in cases including a large number of conductors and when a frequency scan is required, which requires a mesh adapted to the frequencies of interest. In this article, the boundary element method (BEM) is instead explored. The BEM formulations of the 2-D magnetic-harmonic problems in multi-conductor systems made of solid and Litz wires are presented in this article. The proximity effects in the Litz wires are considered by means of a complex permeability. The voltages and currents are included in the mathematical formulation of the problem, from which the frequency-dependent resistances and inductances per unit length (p.u.l.) can be directly found. The approach proposed is fast, easy to use, and requires no post-processing steps.","PeriodicalId":13405,"journal":{"name":"IEEE Transactions on Magnetics","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Calculation of Resistances and Inductances in Multi-Conductor Systems Including Solid and Litz Wires Using the 2-D Boundary Element Method\",\"authors\":\"Edgar Berrospe-Juarez;Frédéric Sirois\",\"doi\":\"10.1109/TMAG.2024.3456121\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Multi-conductor systems can be modeled as multi-port networks made of lumped parameters. In the general case, the computation of such parameters requires the knowledge of the electric and magnetic fields. During the last decades, the finite-element method (FEM) has been widely used to compute the field quantities. Due to the large number of degrees of freedom involved, the application of FEM is prohibitive in cases including a large number of conductors and when a frequency scan is required, which requires a mesh adapted to the frequencies of interest. In this article, the boundary element method (BEM) is instead explored. The BEM formulations of the 2-D magnetic-harmonic problems in multi-conductor systems made of solid and Litz wires are presented in this article. The proximity effects in the Litz wires are considered by means of a complex permeability. The voltages and currents are included in the mathematical formulation of the problem, from which the frequency-dependent resistances and inductances per unit length (p.u.l.) can be directly found. The approach proposed is fast, easy to use, and requires no post-processing steps.\",\"PeriodicalId\":13405,\"journal\":{\"name\":\"IEEE Transactions on Magnetics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Magnetics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10669378/\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Magnetics","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/10669378/","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
摘要
多导体系统可以建模为由叠加参数组成的多端口网络。在一般情况下,计算这些参数需要了解电场和磁场。在过去几十年中,有限元法(FEM)被广泛用于计算场量。由于涉及大量自由度,在包括大量导体和需要频率扫描的情况下,有限元法的应用令人望而却步。本文转而探讨边界元法(BEM)。本文介绍了由实心导线和利兹导线组成的多导体系统中的二维磁谐波问题的 BEM 公式。通过复磁导率考虑了利兹导线中的邻近效应。在问题的数学表述中包含了电压和电流,由此可直接求出与频率相关的单位长度电阻和电感(p.u.l.)。所提出的方法快速、易用,且无需后处理步骤。
Calculation of Resistances and Inductances in Multi-Conductor Systems Including Solid and Litz Wires Using the 2-D Boundary Element Method
Multi-conductor systems can be modeled as multi-port networks made of lumped parameters. In the general case, the computation of such parameters requires the knowledge of the electric and magnetic fields. During the last decades, the finite-element method (FEM) has been widely used to compute the field quantities. Due to the large number of degrees of freedom involved, the application of FEM is prohibitive in cases including a large number of conductors and when a frequency scan is required, which requires a mesh adapted to the frequencies of interest. In this article, the boundary element method (BEM) is instead explored. The BEM formulations of the 2-D magnetic-harmonic problems in multi-conductor systems made of solid and Litz wires are presented in this article. The proximity effects in the Litz wires are considered by means of a complex permeability. The voltages and currents are included in the mathematical formulation of the problem, from which the frequency-dependent resistances and inductances per unit length (p.u.l.) can be directly found. The approach proposed is fast, easy to use, and requires no post-processing steps.
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.