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AC-Winding-Resistance Calculation of Toroidal Inductors with Solid-Round-Wire and Litz-Wire Winding Based on Complex Permeability Modeling †

Lookup NU author(s): Dr Dae Yong Um

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

© 2024 by the authors.This paper has investigated a method for calculating the frequency-dependent winding resistance of toroidal inductor windings with Litz-wire as well as solid-round wire. The modified Dowell’s model is employed to address the effectiveness for inductor windings with the low and high filling factors. To overcome the limitation of this model, especially for a winding densely wound around the core, an alternative approach based on the complex permeability and iterative calculations is proposed. For the calculated AC-resistance factor of five inductors with different numbers of turns, layers with the same wire diameters are compared with that of FEA, and the three air-core toroidal windings are manufactured and tested within the frequency where the self-resonance can be neglected. The proposed model demonstrates the versality of the AC-resistance calculation of both solid- and Litz-wire windings within an error of 15% across a wide range of frequencies up to 1 MHz, compared with FEA.

Publication metadata

Author(s): Um D-Y, Chae S-A, Park G-S

Publication type: Article

Publication status: Published

Journal: Machines

Year: 2024

Volume: 12

Issue: 4

Online publication date: 28/03/2024

Acceptance date: 27/03/2024

Date deposited: 08/05/2024

ISSN (electronic): 2075-1702

Publisher: Multidisciplinary Digital Publishing Institute (MDPI)

URL: https://doi.org/10.3390/machines12040228

DOI: 10.3390/machines12040228

Data Access Statement: The data used in this study are available from the corresponding author on reasonable request.

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