A passive and inherently stable multiport equivalent circuit for lossy transmission lines is presented. The convergence of the infinite modal representation is accelerated by appropriate inductances, for which an exact closed-form expression is developed. The order number of the truncated modal circuit is estimated by a simple relation, according to the required signal bandwidth. The coupling of arbitrary external electromagnetic fields is incorporated by a limited number of corresponding modal sources. The accuracy and versatility of the suggested SPICE-compatible equivalent circuit is demonstrated by examples in frequency and time-domain, including nonlinear terminations.

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This paper shows an approach for the broad-band modeling of passive power-supply filter structures, which may be applied to the virtual filter design. The most important advantage of this technique is the possibility of considering the parasitic and functional behavior of a power-supply filter in the same simulation. The approach provides a 3-D model of the filter structure based on a differential field solver. Moreover, the passive components are approximated by combined behavioral-physical 3-D models, which allow the simulation of this structure and the physical volumetric modeling of the current distribution in the components. Thus, the functional behavior of the filter is modeled taking into account all the high-frequency effects (equivalent serial inductance, equivalent serial resistance, parasitic capacitances, punch-grid issues, couplings between components, couplings between interconnections, losses in the plastic environment, etc.). This paper provides a validation of the approach by measurements of a simplified hardware sample and of an industrial filter sample as well.Index Terms-Full-wave modeling, modeling passive components, power-supply filters, virtual design of power-supply filters.

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