Computation of passive and compact macromodels of distributed interconnects has gained considerable importance during the recent years. Method of characteristics (MoC) is widely used for macromodeling of transmission lines, however, it may not be guaranteed passive. This paper presents a new algorithm for passivity enforcement of MoC-based macromodels of multiconductor transmission lines. The algorithm is based on the first-order perturbation of the related delay differential equations and can handle single as well as coupled interconnects. Necessary theoretical foundations and validating numerical results are presented.

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Keywords Delay differential equations, High-speed interconnect, Macromodeling, Method of characteristics, Ordinary differential equations, Passivity, Passivity compensation, Passivity verification
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Journal IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Chen, C. (Changzhong), Saraswat, D. (Dharmendra), Achar, R, Gad, E. (Emad), Nakhla, M.S, & Yagoub, M.C.E. (Mustapha C.E.). (2009). Passivity compensation algorithm for method-of-characteristics-based multiconductor transmission line interconnect macromodels. IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 17(8), 1061–1072. doi:10.1109/TVLSI.2009.2019795