Modeling magnetic coupling for on-chip interconnect

  • Authors:
  • Michael W. Beattie;Lawrence T. Pileggi

  • Affiliations:
  • Carnegie Mellon University, Department of Electrical and Computer Engineering, 5000 Forbes Avenue, Pittsburgh, Pennsylvania;Carnegie Mellon University, Department of Electrical and Computer Engineering, 5000 Forbes Avenue, Pittsburgh, Pennsylvania

  • Venue:
  • Proceedings of the 38th annual Design Automation Conference
  • Year:
  • 2001

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Abstract

As advances in IC technologies and operat-ing frequencies make the modeling of on-chip magnetic interactions a necessity, it is apparent that extension of traditional inductance extraction approaches to full-chip scale problems is impractical. There are primarily two obstacles to performing inductance extraction with the same efficacy as full-chip capacitance extraction: 1) ne-glecting far-away coupling terms can generate an unsta-ble inductance matrix approximation; and 2) the penetrating nature of inductance makes localized extrac-tion via windowing extremely difficult. In this paper we propose and contrast three new options for stable and ac-curate window-based extraction of large-scale magnetic coupling. We analyze the required window sizes to con-sider the possibilities for pattern-matching style solu-tions, and propose three schemes for determining coupling values and window sizing for extraction via on-the-fly field solution.