基于半解析有限元的利兹线交流电阻分析  

Analysis of Litz Wire AC Resistance Based on Semi-Analytical Finite Element Method

作　　者：金峰逸 马玉芳[1] JIN Feng-yi;MA Yu-fang(Faculty of Electrical and Control Engineering,Liaoning Technical University,Huludao,Liaoning 125000,China)

机构地区：[1]辽宁工程技术大学电气与控制工程学院,辽宁葫芦岛125000

出　　处：《电子学报》2023年第12期3457-3462,共6页Acta Electronica Sinica

基　　金：辽宁省教育厅青年基金项目(No.LJ2020JL029)。

摘　　要：利兹线广泛应用于无线电能传输、涡流检测等领域.由于利兹线包含的导线股数多且几何结构复杂,交流电阻计算困难是限制利兹线结构和电磁参数设计的主要原因.传统有限元方法和解析法在计算效率和普适性方面无法满足要求.本文采用半解析有限元法结合电路系统,基于Python语言编程计算,综合考虑集肤效应、邻近效应和循环电流,对利兹线的交流电阻进行了分析.在100 Hz到1 MHz频率范围内,基于并联利兹线模型,验证了半解析有限元法对交流电阻计算的精度和效率,并分析了螺距对利兹线空间磁场分布的影响.本文工作可为不同应用场景下利兹线模型的结构和电磁参数选择提供参考.Litz wire is widely used in wireless power transfer,eddy current testing and other fields.Due to the large number of strands and complex geometric structure,the difficulty in calculating AC resistance is the main reason for limiting the design of Litz wire structure and electromagnetic parameters.The traditional finite element method and analytical method cannot meet the requirements in terms of computational efficiency and universality.In this paper,the AC resistance of Litz wire considering skin effect,proximity effect and circulating current is analyzed by semi-analytical finite element method and circuit system based on Python language.In the frequency range of 100 Hz to 1 MHz,the accuracy and efficiency of the semi-analytical finite element method for AC resistance calculation are verified based on the parallel Litz wire model,and the influence of pitch on the spatial magnetic field distribution of Litz wire is analyzed.The work in this paper can provide a reference for the structure and electromagnetic parameters selection of Litz wire model in different application scenarios.

关 键 词：利兹线 交流电阻 有限元 均匀化 电路 螺距 

分 类 号：TM15[电气工程—电工理论与新技术]