To the theoretical description of the losses in inductance coils

TL;DR

This paper develops a simplified theoretical model for describing losses in inductance coils, emphasizing the skin and proximity effects, and shows that the coil's Q-factor mainly depends on winding diameter.

Contribution

It introduces a new theory that accounts for strong skin effects from the outset, simplifying the analysis of coil losses compared to classical methods.

Findings

Q-factor primarily depends on winding diameter

Simple formulas derived for coil losses under strong skin effect

Theory applicable to practical inductance coil design

Abstract

The article discusses a theory that allows to describe losses in conductors taking into account the skin effect and the proximity effect. The developed theory is applied to inductance coils. In contrast to the classical Butterworth theory the condition of the strong skin effect, which is frequent in practice, is introduced from the very beginning. This approach makes possible to obtain extremely simple formulas, which show that Q-factor of a coil is determined mainly by the diameter of its winding.