Skip to main content

On Local Handling of Inner Equations in Compact Models

  • Conference paper
  • First Online:

Part of the book series: Mathematics in Industry ((TECMI,volume 14))

Abstract

The burden of solving inner equations in compact models of semiconductor devices (such as transistors) is often shifted to the host circuit simulator. Schur complement techniques for local handling of these equations may help to reduce the size of the model stamp, which – depending on the host simulator – may have a positive impact on CPU time and memory needs. Some practical aspects of applying these concepts in compact modeling are discussed. A formulation is presented which accounts for the specific way of model evaluation in circuit simulation. It can be realized in a standard code for flat model evaluation by adding a software shell around the model core function itself.

First tests with an advanced high voltage MOS model demonstrate the feasibility of this approach in terms of accuracy, iterations and runtimes.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Braack, M., Feldmann, U., Wever, U.: About local iteration for calculating transistor characteristics in circuit simulation. In: Proc. ITG Diskussionsitzung ANALOG’94, 165–170, Bremen (1994).

    Google Scholar 

  2. Rabbat, N.B.G., Sangiovanni-Vincentelli, A.L., Hsieh, H.Y.: A multilevel Newton algorithm with macromodeling and latency for the analysis of large-scale nonlinear circuits in the time domain. IEEE Trans. Circ. Syst. CAS, 26, 733–741 (1979).

    Article  MATH  MathSciNet  Google Scholar 

  3. Günther, M., Feldmann, U., ter Maten, E.J.W.: Modelling and discretization of circuit problems. In: Schilders, W.H.A., ter Maten, E.J.W. (eds.) Handbook Numerical Analysis vol. XIII, pp. 523–659, Elsevier Science, Amsterdam, (2005).

    Google Scholar 

  4. Wehrhahn, E.: Hierarchical circuit analysis. In: Proc. IEEE Int. Sym. Circ. Syst., ISCAS 89, vol. 1, pp. 701–704. Portland, May (1989).

    Google Scholar 

  5. Fijnvandraat, J.G., Houben, S.H.M.J., ter Maten, E.J.W., Peters, J.M.F.: Time domain analog circuit simulation. J. of Comp. and Appl. Math., 185, 441–459 (2006)

    Article  MATH  Google Scholar 

  6. HICUM homepage. URL http://www.iee.et.tu-dresden.de/iee/eb/hic_new/hic_intro.html Cited Dec. 2008.

  7. MEXTRAM homepage. URL http://www.nxp.com/models/bi_models/mextram/index.html Cited Dec. 2008.

  8. VBIC homepage. URL http://www.designers-guide.org/VBIC/index.html Cited Dec. 2008.

  9. BSIM4 homepage. URL http://www-device.eecs.berkeley.edu/~bsim3/bsim4_intro.html Cited Dec. 2008.

  10. EKV homepage. URL http://legwww.epfl.ch/ekv/ Cited Dec. 2008.

  11. HiSIM homepage. URL http://home.hiroshima-u.ac.jp/usdl/HiSIM.html Cited Dec. 2008.

  12. SiMKit homepage. URL http://www.nxp.com/models/source/ Cited Dec. 2008.

  13. M. Yokomichi, M. et al.: Laterally diffused metal oxide semiconductor model for device and circuit optimization. Jpn. J. Appl. Phys., 47, 2560–2563 (2008).

    Article  Google Scholar 

  14. Wehrhahn, E.: Hierarchical sensitivity analysis of circuits. In: Proc. IEEE Int. Sym. Circ. Syst., ISCAS 91, vol. 2, pp. 864–867. Singapore, May (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Uwe Feldmann .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Feldmann, U., Miyake, M., Kajiwara, T., Miura-Mattausch, M. (2010). On Local Handling of Inner Equations in Compact Models. In: Roos, J., Costa, L. (eds) Scientific Computing in Electrical Engineering SCEE 2008. Mathematics in Industry(), vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12294-1_19

Download citation

Publish with us

Policies and ethics