Skip to main content

On Approximate Reduction of Multi-Port Resistor Networks

  • Chapter
  • First Online:
Scientific Computing in Electrical Engineering SCEE 2010

Part of the book series: Mathematics in Industry ((TECMI,volume 16))

  • 1407 Accesses

Abstract

Simulation of the influence of interconnect structures and substrates is essential for a good understanding of modern chip behavior. Sometimes such simulations are not feasible with current circuit simulators. We propose an approach to reduce the large resistor networks obtained from extraction of the parasitic effects that builds upon the work in (Rommes and Schilders, IEEE Trans. CAD Circ. Syst. 29:28–39, 2010). The novelty in our approach is that we obtain improved reductions, by developing error estimations which enable to delete superfluous resistors and to control accuracy. An industrial test case demonstrates the potential of the new method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aldous, D.: Reversible Markov chains and random walks on graphs. In: Book in preparation, Available at www.stat.berkeley.edu/ aldous/RWG/book.html (2003)

    Google Scholar 

  2. Hochstenbach, M.: A Jacobi-Davidson type SVD method. SIAM J. Sci. Comput. 23, 606–628 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  3. Ionutiu, R., Rommes, J.: Circuit synthesis of reduced order models. Technical Note NXP-TN-2008/00316, NXP Semiconductors, Eindhoven, The Netherlands (2009)

    Google Scholar 

  4. Rommes, J., Schilders, W.H.A.: Efficient methods for large resistor networks. IEEE Trans. CAD Circ. Syst. 29, 28–39 (2010)

    Article  Google Scholar 

  5. Schrik, E., Meijs van der, N.P.: Combined BEM/FEM substrate resistance modeling. In: Proceedings of the 39th Conference on Design Automation, June 10–14. New Orleans, Louisiana, USA (2002)

    Google Scholar 

  6. Stewart, G.W., Sun, J.: Perturbation theory. Academic Press, INC., Boston, San Diego, New York, London, Sydney, Tokyo, Toronto (1990)

    MATH  Google Scholar 

  7. Stoll, M.: A Krylov-Schur approach to the truncated SVD (2010). Preprint submitted to Elsevier

    Google Scholar 

  8. Yang, F., Zeng, Y., Su, Y., Zhou, D.: RLC equivalent circuit synthesis method for structure-preserved reduced-order model of interconnect in VLSI. Commun. Comput. Phys. 3, 376–396 (2008)

    MATH  Google Scholar 

Download references

Acknowledgements

The authors would like to thank M. Hochstenbach for sharing the Krylov-SVD code. The first author wants to thank P.I. Rosen Esquivel for the useful discussions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. V. Ugryumova .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Ugryumova, M.V., Rommes, J., Schilders, W.H.A. (2012). On Approximate Reduction of Multi-Port Resistor Networks. In: Michielsen, B., Poirier, JR. (eds) Scientific Computing in Electrical Engineering SCEE 2010. Mathematics in Industry(), vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22453-9_40

Download citation

Publish with us

Policies and ethics