Fast transient simulation of power distribution network based on stabilized explicit method

Abstract

This paper describes an explicit method in which modes are categorized into stable and unstable ones, and the latter are removed to make the method be stable. In general, an explicit method in numerical analysis has a strict stability condition related to a time step size. When power distribution network (PDN) including small apertures and curved contours is modeled by meshes, the PDN has small reactive components due to small meshes. The proposed method overcomes this problem by avoiding the instability and enabling us to use a large time step size.