A Segmentation Algorithm for Capacitively Loaded Planar Resonant Structures

Abstract

The segmentation method used for the analysis of arbitrarily shaped planar structures is extended to a more general form to account for capacitive loading between parallel plates. In power integrity (PI) analysis of power delivery networks (PDN), the capacitive loading represents decoupling capacitors between power and ground planes. The algorithm is geared to the analysis of PDNs for performance evaluation, selection and placement of decoupling capacitors. For linear circuits, the proposed integrated algorithm eliminates the commonly used two-step approach. In the case of nonlinear loads, the algorithm helps to reduce the size of modified admittance matrix (MNA) and relaxes the burden of following circuit simulation. The proposed method is validated in comparison to a numerical electromagnetic (EM) simulator.