Topological Fitting: broadband modeling of passive components via augmented equivalent circuit models

This paper presents a gray-box modeling technique for obtaining physical models of electrical components. These models are obtained through topological fitting, thus yielding equivalent electrical circuit models which are guaranteed to be stable and passive. The algorithm finds the values of the circuit elements given a description of the circuit such that the resulting model fits the frequency response measurements provided for the component. Moreover, in case the circuit is incomplete, the algorithm extends it by automatically generating all series and parallel augmentations and re-optimizing the values of the elements.