High precision, geometry independent analytical method for self-inductance calculation in planar coils

Abstract

A tool that allows for a fast and precise analytical calculation of multi-layer planar coils self-inductance, without any geometry limitation is proposed here. For competitive markets, the time to develop a product is a critical aspect. The process of designing and simulating planar coils to achieve reliable results is commonly limited on accuracy and or geometry, or are too time-consuming and expensive, thus a tool to speed up this design process is desired. The model is based on Grover equations, valid for any geometry. The validation of the tool was performed through the comparison with experimental measurements, FEM simulations, and the main analytical methods usually used in literature, with errors registered to be below 2.5%, when compared to FEM simulations. This model offers a new approach to the calculation of the self-inductance of planar coils of several layers that combines precision, speed, independence of geometry, easy interaction, and no need for extra resources.