A Generalized Segmentation Algorithm for Planar Resonant Structures with Discrete Components

A compact relation is developed based on the indefinite impedance matrix. The proposed technique generalizes the application of the segmentation method to arbitrarily shaped planar structures including the effect of lumped circuit components. The components are accounted for by modifying the previously used terminal relations in the development of the segmentation method. The proposed algorithm targets power integrity (PI) applications in printed circuits and integrated circuit packages. By direct computation of distributed circuit parameters of planar power delivery networks (PDN) including discrete components, the need for a second phase circuit simulation is eliminated. An application of the proposed method is demonstrated on a practical circuit and the results are validated in comparison to a numerical electromagnetic (EM) simulator.