A Minimal Realization of Delay Rational Macromodel of Multiconductor Transmission Lines Based on Gilbert’s Approach

This paper proposes a minimal state space model of delay-rational Green’s function-based macromodel for multiconductor transmission lines. The proposed method makes an order reduction on original model and guarantees that there is no redundant state variables converted from matrix-transfer functions during synthesis. Based on Gilbert realization’s construction, the formulation of minimal representation is developed for real poles, as well as conjugate poles. The equivalent circuit is generated optimally and SPICE netlist contains less elements, improving computational efficiency in time-domain simulation. The numerical experiments demonstrate that the proposed method can decrease the CPU time and memory consumed in standard simulation environment.