Inductance Estimation for High-Power Multilayer Rectangle Planar Windings

TL;DR

This paper introduces a simple, accurate monomial-like equation for estimating the inductance of high-power multilayer rectangle planar windings, validated through extensive simulations and experiments.

Contribution

It presents a novel inductance estimation equation for MLRPWs with coefficients derived from large-scale regression analysis.

Findings

Mean error of 0% in inductance estimation

Standard deviation below 1.8%

Validated on experimental samples outside training data

Abstract

This paper proposes a simple and accurate monomial-like equation for estimating the inductance of Multilayer Rectangle-shaped Planar Windings (MLRPWs) for high-frequency, high-power applications. The equation consists of the power product of the geometrical dimensions, raised at individual power coefficients. The coefficients are generated via Multiple Linear Regression (MLR), based on a large set of approximately 6,000 simulated windings, with an 80/20 training/evaluation sample ratio. The resulting mean error value is 0%, with a standard deviation below 1.8%. The accuracy of the inductance estimation is confirmed on several experimental samples, with dimensions both within and outside the initial training dataset.