Formula Evaluation and Voltage Distribution of Planar Transformers Using Rectangular Windings

This study investigates the inductance formulas for square-shaped planar windings and suggests modifications so they can apply to rectangle-shaped windings, with simple yet accurate approximations. Furthermore, it explores the region of high-power, high-frequency planar transformers, introducing an algorithm which estimates the applied voltage per turn. This effort can lead to design optimization, by minimizing the spacing between traces, thus increasing the inductance over used area. A comparison of theoretical, simulation and experimental results is carried out to evaluate three well-established formulas under the proposed modification. The voltage distribution algorithm is also verified using the same methods.

Automated summary

This study investigates modifications to inductance formulas for square-shaped planar windings to make them applicable to rectangle-shaped windings. It also introduces an algorithm for estimating applied voltage per turn, which can lead to design optimization. The study compares theoretical, simulation, and experimental results for evaluating these modifications.