A local circuit topology for inductive parasitics

Abstract

A novel circuit topology for inductive coupling between interconnecting wires is presented. The model is local, i.e., only coupling between neighboring wires is explicitly modeled. However, the topology accounts for long-range coupling by propagating the vector potential from one wire to the next. Examples of model calibration, both directly from layout and as model-order reduction of a given inductance matrix, are presented for simple wiring structures.

Vector potential equivalent circuit based on PEEC inversion

“…However, in [1] the summation is local, and there are at most six coupling ) at that surface. In the electro-quasi-static condition,…”

“…Using equivalent magnetic resistance to model inductive interconnects, the geometry-integration based vector potential equivalent circuit (VPEC) is introduced in [1]. The resulting circuit model can be analyzed by SPICE, and shows a good potential for circuit sparsification.…”

“…This paper presents an indepth study on VPEC. In Section 2, we show that the VPEC method in [1] is accurate only for the two-body problem, and derive an accurate N-body VPEC models based on geometry integration. In Section 3, we introduce a new N-body VPEC model using inversion of inductance matrix under the PEEC model.…”

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Abstract-The geometry-integration based vector potential equivalent circuit (VPEC) was introduced to obtain a localized circuit model for inductive interconnects in [1]. In this paper, we show that the method in [1] is accurate only for the two-body problem.

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“…However, for our N-body magneto-quasi-static problem, the flux in (5) Furthermore there is no rigorous methodology to extract the equivalent magnetic resistance in [1]. We propose the following integration based method to obtain the EMRs: (i) calculate the distribution of for the given input current distribution by (1) and (3); (ii) evaluate both the average vector potential difference between ! " and ! "…”