Abstract

The ever-increasing demands of advanced computing and communication have been driving the semiconductor technology to change with each passing day following Moore’s law. As a consequence, advanced electronic packages have been developed and predictive modeling of Power Distribution Network (PDN) becomes more and more important. In this paper, we present an efficient methodology for predictive modeling of multilayered PDNs. This methodology is based on Multi-Conductor Transmission Line (MCTL) which will be modeled by W-Elements. Equations of RLGC Matrices will be given and effective self and mutual inductance will be proposed to efficiently describe the inductive interactions among coupled signal lines. Test structures were designed and simulated up to 50 GHz. A good correlation was obtained between model and full-wave solver based on the method of Moments. The proposed model substantially reduces the CPU run time and memory resources that requires only few seconds and small memory for which the EM solver would have taken several minutes, or even hours, and much more memory.

Highlights

  • Introduction signal lines referenced to themIdeally, these planes should exhibit low impedance over a large frequency range of operation so that the transient currents induced by simultaneous switching of digital circuits do not lead to excessive noise propagation over the Power Distribution Network (PDN) [1]

  • Constant CPU time has been verified to simulate a five-layered structure. This constitutes a main advantage of our approach; the designer can avoid the tremendous computing time that a full-wave simulator would take to extend the analysis to higher number of layers

  • This paper described the physical principles and implementation of the Multi-Conductor Transmission Line (MCTL) Matrix method

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Summary

Introduction

These planes should exhibit low impedance over a large frequency range of operation so that the transient currents induced by simultaneous switching of digital circuits do not lead to excessive noise propagation over the PDN [1]. Since each layer formed by metal planes with the low-loss insulator can act as a cavity, the PDNs are highly resonant structures [3]. To completely characterize such structures through time-domain analysis, a tremendous amount of time is required for a simulation. The frequency-domain analysis of package PDNs is more beneficial

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