Domain Partitioning Based Parametric Models for Passive On-Chip Components

  • Gabriela Ciuprina
  • Daniel Ioan
  • Diana Mihalache
  • Ehrenfried Seebacher
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 14)

Abstract

This paper shows how to obtain models for passive integrated components that take into consideration the variability inherent to their design. To achieve this, the computational domain is split into sub-domains in which the electromagnetic circuit element (EMCE) formulation is used. The variability is described by using first order Taylor Series representation for the semi-state space matrices. The novelty of the paper is that it describes how the EMCE based parametric models can be obtained. The parametric sub-models can be interconnected afterwards to obtain a global parametric model that can be simulated or reduced. The advantage of this approach is that it bears an inherent parallelism. The sub-models can be treated independently both from the point of view of the variability, and from the point of view of electromagnetic field formulation. Both aspects are illustrated with a simple test case as well as a real benchmark designed and characterized at austriamicrosystems.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Ioan, D., Schilders, W., Ciuprina, G., Meijs, N., Schoenmaker, W.: Models for integrated components coupled with their EM environment. COMPEL Journal 27(4), 820–829 (2008)MATHGoogle Scholar
  2. 2.
    Ioan, D., Ciuprina, G.: Reduced order models of on-chip passive components and interconnects, workbench and test structures. in (W.H.A. Schilders, H.A. van der Vorst, J. Rommes, Eds). Model Order Reduction: Theory, Research Aspects and Applications, Springer series on Mathematics in Industry, Springer-Verlag 13, Ch. 20 (2008)Google Scholar
  3. 3.
    Silveira, L., et al.: Report on parametric model order reduction techniques (d1.3a). Tech. rep., FP6/Chameleon-RF (2007). Available at http://www.chameleon-rf.org
  4. 4.
    Ciuprina, G., Ioan, D., Mihalache, D.: Magnetic hooks in the finite integration technique: a way towards domain decomposition. In: Proceedings of the IEEE CEFC. Athens, Greece (2008)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Gabriela Ciuprina
    • 1
  • Daniel Ioan
    • 1
  • Diana Mihalache
    • 1
  • Ehrenfried Seebacher
    • 2
  1. 1.Numerical Methods Lab., Electrical Engineering FacultyPolitehnica University of BucharestBucharestRomania
  2. 2.austriamicrosystemsUnterpremstättenAustria

Personalised recommendations