This article proposes a novel analysis method for the losses in a litz wire considering the circulating and eddy currents. In the proposed method, the macroscopic complex permeability is introduced to evaluate the eddy current loss owing to the proximity effect. Homogenization-based finite element analysis using the macroscopic complex permeability can effectively compute the proximity effect loss. The loss owing to the circulating currents is evaluated by solving the corresponding circuit equation. It is shown that the eddy current loss is dominant for the solenoidal and spiral coils without magnetic cores because of the uniform magnetic field distribution along the wire. Moreover, the magnetic reactors in which the circulating current loss cannot be ignored are analyzed using the proposed method. It is shown that the losses computed by the proposed method agree well with the measured results.

中文翻译：

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使用基于均质化的 FEM 分析利兹线损耗

本文提出了一种考虑循环电流和涡流的利兹线损耗分析方法。在所提出的方法中，引入宏观复磁导率来评估由于邻近效应引起的涡流损耗。使用宏观复渗透率的基于均质化的有限元分析可以有效地计算邻近效应损失。由循环电流引起的损耗通过求解相应的电路方程来评估。结果表明，由于沿导线的均匀磁场分布，涡流损耗对于没有磁芯的螺线管和螺旋线圈​​占主导地位。此外，使用所提出的方法分析了不能忽略循环电流损失的磁电抗器。