A new, computationally efficient, discrete model is presented for passive model order reduction of high-speed interconnections. The proposed discrete model is based on the use of the theory of compact finite differences for the development of the discrete approximation to the transmission line equations that govern wave propagation on the interconnections. Thus result in a discrete model that utilizes only a few unknowns per wavelength and yet provides highly accurate waveform resolution. In addition to improved computational efficiency, the generated discrete model is passive, and compatible with the passive reducedorder interconnect modeling algorithm (PRIMA). Thus, it is suitable for the development of passive reduced-order models of interconnection networks of high complexity. Numerical experiments from the simulation and model order reduction of coupled interconnections are used to illustrate the validity and efficiency of the proposed model.Index Terms-Circuit transient analysis, macromodeling, passive model order reduction, transmission line model.
This paper describes a new, transmission line-based discrete model for interconnects with per-unit-length, frequencydependent resistance and inductance. The proposed model is developed in such a manner that the resulting discrete form of Telegrapher's equations constitutes a passive system, and is compatible with passive, reduced-order macromodeling algorithms. The validity of the proposed model is demonstrated through numerical examples. Index Terms-Circuit transient analysis, frequency dependent ohmic loss, macromodeling, passive model order reduction, skin effect, transmission line model.
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