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首页> 外文期刊>Applied Mathematical Modelling >A recursive methodology for modelling multi-stranded wires with multilevel helix structure
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A recursive methodology for modelling multi-stranded wires with multilevel helix structure

机译：一种用多级螺旋结构建模多绞线的递归方法

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摘要

Multi-stranded litz wires are commonly used in magnetic devices for power electronics applications at medium-high frequency range, from several kHz up to hundreds of kHz. For these applications, litz-wire structure favours the uniformity of driven current in the cross-sectional area of conductors, alleviating ac losses (skin and proximity effects) and improving the global efficiency of the application. These features are achieved by means of a special cable arrangement consisting of many isolated fine copper strands twisted together according to the manufacturing process. Often, the manufacturing process involves several twisting steps where bundles of moderate number of strands are successively twisted resulting in intricate cable structures. We present a mathematical description of the trajectories of copper strands with the purpose of obtaining the cable losses by means of Finite Element Analysis (FEA) simulation tools. Moreover, a nomenclature for this multilevel structures is also proposed. Parameters as the number of twisting steps, number of strands, strand diameter or pitch length, are included in this representation, allowing to compare the performance of different manufacturing solutions.
机译：多绞合的LITZ电线通常用于中高频范围内的电力电子应用，从几kHz高达数百kHz。对于这些应用，Litz-Wire结构有利于导体横截面积中的驱动电流的均匀性，减轻交流损耗（皮肤和近距离效应）并提高了应用的全球效率。通过一种特殊的电缆布置实现了这些特征，包括根据制造过程扭曲在一起的许多隔离细铜线。通常，制造过程涉及几个扭转步骤，其中束束束连续扭曲，从而产生复杂的电缆结构。我们通过有限元分析（FEA）仿真工具来提取铜丝轨迹的数学描述，目的是通过有限元分析（FEA）仿真工具获得电缆损耗。此外，还提出了这种多级结构的命名法。参数作为扭转步骤的数量，股线的数量，股线或间距长度，包括在该表示中，允许比较不同制造解决方案的性能。

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