New Inductance Calculating Formulas of Planar Symmetrical Square Inductors

Abstract

The paper presents new analytical formulas for calculating the inductance of planar symmetrical square inductors. The formulas are obtained by using the modified method of inductors layout decomposition. The inductors layout is divided into parts (inner incomplete turn, full turns, and leads) and the total inductances of each part and the mutual inductances between the parts are calculated. Comparison with the results of 3D finite element modeling in ADS CAD showed that the proposed formulas have an error of no more than 2 per cent for inductance value from 100 pH to 10 nH.