Conformal-mapping model for estimating the resistance of polygonal inductors

摘要

This paper presents an analytical model for estimating the resistance of planar polygonal inductors of different shapes. Planar inductors contain a number of corners based on their shapes and number of turns. The resistance of corners is difficult to estimate precisely, since the current density around them is not uniform as in a straight segment and therefore alters the value o f the resistance. A conformal mapping model is used to map a bent metal segment into a rectangular strip. The current density in a bent conductor and hence the value of the resistance are calculated using Schwarz-Christoffel transformations. Our results are compared with ASITIC simulations and are in good agreement.