Inductance Characterization for Flat Spiral Inductors with Uniform and Nonuniform Zig-zag Arms

A complete characterization of the inductances of flat spiral inductors with zig-zag arms is presented in this paper. In particular, the self- and mutual inductances of this type of inductors are calculated through the implementation of exact analytical formulas. The inductances are analysed as a function of the main geometrical dimensions, particularly the spiral angle; also, spiral inductors with nonuniform zig-zag arms are considered. The calculated results of the self-inductance are compared with those obtained by a programme based on magnetoquasistatic analysis showing a good agreement.