Passive macromodeling and sensitivity analysis of multiconductor transmission lines

This paper describes an efficient algorithm for compact passive macromodeling and sensitivity analysis of multiconductor transmission lines. The proposed method employs delay extraction prior to approximating the matrix exponential stamp of the line and guarantees macromodel passivity. It leads to significantly lower orders for macromodels of long low lossy lines. Sensitivity information is derived from macromodels based on delay extraction and matrix-rational approximation of Telegrapher's equations. An important advantage of the proposed approach is that the time-domain passive macromodel and its sensitivity with respect to per-unit-length parameters are obtained analytically.