A Wideband Compact Model for Integrated Inductors

This letter presents a compact inductor model that is accurate beyond the inductor's self-resonance frequency. The inductor is represented as a short-circuited transmission line, whose impedance is a hyperbolic tangent function. This function is expanded to its third-order continued fractions approximation. The approximation results in a compact equivalent circuit model with frequency independent parameters that can be extracted directly from S-parameter measurements. No optimization is necessary in this process. The developed compact wideband inductor model is extremely useful for accurate transient and harmonic balance simulations where out of band response is important