engleski

Frequency dependent resistance calculation of multiple conductors

Purpose – The purpose of this paper is to present a method for calculating frequency- dependent resistance when multiple current- carrying conductors are present. Design/methodology/approach – Analytical and numerical formulations are presented. Both skinand proximity-effects are considered in the numerical approach, whereas only skin-effect can be taken into account in analytical equations. The calculation is done using a self-developed integral equationbased field solver. The results are benchmarked using professional software based on the finite element method (FEM). Findings – Results from the numerical approach are in agreement with FEM-based software throughout the whole frequency range. Analytical formulations yield unsatisfactory results in higher frequency range. When multiple conductors are mutually relatively close, the proximity-effect has an impact on effective resistance and has to be taken into account. Research limitations/implications – The methodology is presented using axially symmetrical conductors. However, the same procedure can be developed for straight conductors as well. Practical implications – Presented fast and stable procedure can be used in most electromagnetic devices when frequency-dependent resistance needs to be precisely determined. Originality/value – The value of the presented numerical methodology lies in its ability to take both skinand proximity-effects into account. As conductors are densely packed in most electromagnetic devices, both effects influence the effective resistance. The method can be easily implemented using a self- developed solver and yields satisfactory results.

Numerical calculations, Integral equations, Skin-effect, Electrical resistivity, Effective resistance, Proximity-effect

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