Fast transient simulation of multilayered power delivery network by using the stabilized explicit method

This paper describes an explicit transient analysis method stabilized for an arbitrary time step size for fast simulation of a multilayered power delivery network (PDN). A time step size used in an existing block-type leapfrog scheme is forced to be small if there exists small reactances in a circuit. Such small reactances are extracted from the small meshes, which are used to represent small apertures on the conductor planes. Therefore, the conditionally-stable explicit method is not suitable for the circuit including the small reactances. The stabilized explicit method (SEM) can remove instability related to the low reactances parts and enables to use a relatively-large time step size compared with the explicit leapfrog scheme. SEM is applied to transient simulations of an example multilayered PDN with a number of circular apertures to evaluate its adequacy. Numerical results show that our approach can perform much faster simulation than the block-type leapfrog scheme and a conventional SPICE-like simulator.