Development of Simple Physics-Based Circuit Macromodel From PEEC

A New Strategy for Automatic Coupling Between the Inductive PEEC Method and an Integral Electrostatic Formulation

“…Few years ago, an alternative method has been proposed. It consists in splitting the global (RLMC) formulation in (RLM) and (C) independent formulations [19], [20], [21], [22]. Both formulations are used independently to compute equivalent circuit elements.…”

Fast parameter extraction of voxelized interconnects and circuits

“…So far, various impedance extractors have been developed [44][45][46][47][48][49][50][51][52][53][54][55][56]. They solve either SIE [44][45][46] or volume-surface IE (VSIE) [47][48][49][50][51][52][53][54][55][56]. Among these, the FastImp [44] is still a popular program for EMQS and full-wave analysis.…”

“…They use a mesh-based technique and the search for meshes/loops requires extra time. [48,54,55,57] also discretize the structure into filaments and panels but they use nodal analysis. [55] accelerates the solution via a hierarchical data structure.…”

“…However, the proposed simplified equation in this work is not suitable for voxelized structures because there is only one node on each panel for the voxelized structures but the optimized equation requires computing the interactions of many nodes shared by one panel together. [48,50] implement the modified nodal analysis that is faster than the conventional nodal analysis scheme but the accuracy of the modified scheme for high frequencies is not satisfactory.…”

“…So far, many impedance extractors have been developed for the structures discretized by filaments [45,53], tetrahedra [51], or surface panels [42]. Recently, the FFT-PEEC technique [48,103] was proposed for impedance extraction of voxelized structures. The technique uses vector face shape functions and piecewise constant basis functions to discretize the currents and charges inside the voxelized structure, respectively.…”