Analysis for complex power distribution networks considering densely populated vias

Due to the high speed and low power trends, the power distribution network (PDN) in multilayer printed circuit boards (PCBs) plays a pivotal role in terms of system performance. The paper presents an efficient analysis method for the irregularly shaped power/ground plane pair considering the effect of densely populated power/ground and signal vias in the frequency domain. The plane is divided based on geometric properties and modeled by the parallel-plate transmission line theory. For examination of various via effects, we have modeled vias according to their properties, such as power, ground and signal. Using a conventional circuit simulator, the input- and trans-impedance of power/ground planes are investigated. Since the proposed method is accurate as well as fast, it can be efficiently applied to multilayered PCB structures at the early design stage.