<p>Reducing the eddy current effects in Litz wire at high frequencies leads to decreased alternating current resistance, enabling efficient energy conversion with a high power density. Accurate electromagnetic modeling of Litz wire requires the development of a precise two-dimensional model, a challenge seldom addressed in existing literature. This paper introduces a novel approach utilizing the variable neighborhood search algorithm and the layered symmetry characteristics of Litz wire to construct a two-dimensional model for Litz wire with a real copper fill factor. Based on the twisting mechanism of Litz wire, the two-dimensional model is transformed into an alternating current resistance model through the idea of segmented equivalent circuits and the two-dimensional finite-element model. The proposed two-dimensional model is validated using micro-computed tomography imaging on two Litz wire samples. The proposed alternating current resistance model achieves greater accuracy than the partial element equivalent circuit model, while matching the computational speed of the two-dimensional finite-element model.</p>

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AC resistance modeling of Litz wire: integrating segmented equivalent circuit and twisting mechanism with VNS-based geometry model

  • Shunjun Chen,
  • Ruitian Wang,
  • Xinsheng Zhang,
  • Cai Chen,
  • Yong Kang

摘要

Reducing the eddy current effects in Litz wire at high frequencies leads to decreased alternating current resistance, enabling efficient energy conversion with a high power density. Accurate electromagnetic modeling of Litz wire requires the development of a precise two-dimensional model, a challenge seldom addressed in existing literature. This paper introduces a novel approach utilizing the variable neighborhood search algorithm and the layered symmetry characteristics of Litz wire to construct a two-dimensional model for Litz wire with a real copper fill factor. Based on the twisting mechanism of Litz wire, the two-dimensional model is transformed into an alternating current resistance model through the idea of segmented equivalent circuits and the two-dimensional finite-element model. The proposed two-dimensional model is validated using micro-computed tomography imaging on two Litz wire samples. The proposed alternating current resistance model achieves greater accuracy than the partial element equivalent circuit model, while matching the computational speed of the two-dimensional finite-element model.