Macromodeling of Multilayered Power Distribution Networks Based on Multiconductor Transmission Line Approach

Typical modeling algorithms for multilayered irregular shaped power distribution networks are based on a finite difference solution of the Helmholtz equation. In this paper, the finite difference solution is demonstrated to be equivalent to a discretization of the Telegraphers partial differential equations for multiconductor transmission lines (MTL). With this concept, an efficient macromodeling algorithm for multilayered structures based on MTL theory is presented. The electromagnetic coupling between the plane layers due to wraparound currents is captured by the inductive and capacitive coupling between the multiconductor lines. A delay extraction-based macromodel is used to represent the MTL in SPICE that can better capture the distributed effects of the structure than existing lumped models. This approach is successfully implemented for multilayered structures with irregular geometries and is shown to be more accurate and efficient compared with existing SPICE lumped models.