Skip to main content

DAE-Index Increase in Analogue Fault Simulation

  • Chapter
System Design Automation

Abstract

In this paper, we investigate the importance of DAE-index in analogue fault simulation. The authors show that high indices which result from fault injection can lead to problems in numerical simulation. Methods for index computation which can be appended to standard fault detection schemes allow the prediction of potential numerical instabilites. Some suggestions to tackle such index problems will be discussed. Examples of the use of our index approach are given.

This work has been supported by the Deutsche Forschungsgemeinschaft, Sonderforschungsbereich 358

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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. I. M. Bell, S. J. Spinks: Analogue Fault Simulation for the Structural Approach to Analogue and Mixed-signal IC Testing. International Mixed Signal Testing Workshop, June 20–22, 1995, Grenoble/Villard de Lans, France. Collection of Papers, pp. 10–14.

    Google Scholar 

  2. K. E. Brenan, S. L. Campbell, L. R. Petzold: Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations. North-Holland, 1989.

    Google Scholar 

  3. P. Caunegre, C. Abraham: Fault Simulation for Mixed-Signal Systems. Journal of Electronic Testing: Theory and Application (JETTA), vol. 8 (1996) No.2, April 1996, pp.143152.

    Google Scholar 

  4. E. Griepentrog, R. März: Differential-Algebraic Equations and Their Numerical Treatment. Band 88 aus Teuber-Texte zur Mathematik, Teubner Verlagsgesellschaft, Leipzig, 1986.

    Google Scholar 

  5. M. Günther, U. Feldmann: The DAE-Index in Electric Circuit Simulation. Proc. IMACS Symp. Mathematical Modelling. (Ed. I. Troch, F. Breitenecker) vol. 4, pp. 695–702, 1994

    Google Scholar 

  6. M. Günther, U. Feldmann. CAD based electric circuit modeling. Part I: Mathematical structure and index of network equations. Surv. Math. Ind. (1999) 8, pp. 97–129

    MATH  Google Scholar 

  7. M. Günther, U. Feldmann: CAD based electric circuit modeling. Part II: Impact of network structure and parameters. Surv. Math. Ind. (1999) 8, pp. 131–157

    MATH  Google Scholar 

  8. E. Hairer, Ch. Lubich, M. Roche: The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Band 1409 aus Lecture Notes in Mathematics, Springer-Verlag, 1989.

    Google Scholar 

  9. Hennig, E. and T. Halfmann. 1998. Analog Insydes Tutorial. ITWM, Kaiserslautern, Germany

    Google Scholar 

  10. W. Kampowsky, P. Rentrop, W. Schmidt: Classification and Numerical Simulation of Electric Circuits. Surveys on Mathematics for Industry (1992) 2, pp. 23–65.

    MathSciNet  MATH  Google Scholar 

  11. März, R., Numerical methods for differential-algebraic equations. Acta Numerica, 1991, pp. 141–198.

    Google Scholar 

  12. K. Matz, C. Clauß: Zur Simulationspraxis bei DAE’s mit höherem Index. 4. GMM/ITG Diskussionssitzung-Entwicklung von Analogschaltungen mit CAE-Methoden, Berlin, Oktober 1997, pp. 101–108

    Google Scholar 

  13. K. Matz, C. Clauß: Simulation Support by Index Computation. 15th IMACS World Congress, Berlin, Aug. 1997

    Google Scholar 

  14. K. Reinschke, K. Röbenack: Graphentheoretische Bestimmung des strukturellen Index von Algebro-Differential-Gleichungssystemen für die Netzwerkanalyse. In W. Mathis, P. Noll (Hrsg.): Neue Anwendungen theoretischer Konzepte in der Elektrotechnik-Tagungsberichte der 2. ITG-Diskussionssitzung vom 21.-22. April 1995 in Berlin, pp. 207–214, VDE-Verlag, 1996.

    Google Scholar 

  15. K. Röbenack, K. Reinschke: Graph-theoretically determined Jordan block size structure of regular matrix pencils, Linear Algebra Appl. 263 (1997), pp. 333–348.

    Article  MathSciNet  MATH  Google Scholar 

  16. G. Reißig, U. Feldmann: Computing the generic index of the circuit equations of linear active networks. In Proc. Int. Symp. on Circuits and Systems (ISCAS), Altanta, 12.-15. Mai 1996, Band III, pp. 190–193.

    Google Scholar 

  17. B. Straube, W. Vermeiren, B. Müller, Ch. Hoffmann, S. Sattler: Analoge Fehlersimulation mit aFSIM. Analog’99, 5. ITG/GMM-Diskussionssitzung ‘Entwicklung von Analogschaltungen mit CAE-Methoden’, Munich, Februar 1999

    Google Scholar 

  18. M. Sachdev: A Defect Oriented Testability Methodology for Analog Circuits. Journal of Electronic Testing: Theory and Applications (JETTA) vol. 6 (1995) no. 3 (June), pp. 265–276.

    Google Scholar 

  19. Chr. Sebeke, J. P. Teixeira, M. J. Ohletz: Automatic Fault Extraction and Simulation of Layout Realistic Faults for Integrated Analogue Circuits. European Design and Test Conference 1995, Paris, France, March 6–9, 1995, pp. 464–468.

    Google Scholar 

  20. B. Straube, K. Reinschke, W. Vermeiren, K. Röbenack: Indexveränderung durch Fehlerinjektion. Technical Report SFB 358-C1D5–1/97, TU Dresden

    Google Scholar 

  21. B. Straube, W. Vermeiren, A. Holubek, M. J. Ohletz, M. Dhifi: Analogue Fault Simulation Tools aFSIM and AnaFAULT. 8. ITG/GI/GME-Workshop „Testmethoden und Zuverlässigkeit von Schaltungen und Systemen“, Otzenhausen, 3.- 5. März 1996, pp. 78–80.

    Google Scholar 

  22. W. Vermeiren, B. Straube, G Elst: A Suggestion for Accelerating the Analogue Fault Simulation. In: Proc. EDAC-ETC-EUROASIC 1994, Paris, France, Feb. 28-March 3, p. 662, IEEE Comp. Society Press, Los Alamitos, CA, 1994

    Google Scholar 

  23. Wolfram, S., Mathematica-Ein System für Mathematik auf dem Computer. Addison-Wesley Publishing Company, 1992.

    Google Scholar 

  24. U. Feldmann, M. Hasler: Inverse System Realisation with Operational Amplifier-Stability vs. nonideal Op.-Amp. characteristics. NDES’95, 1995, pp. 139–142.

    Google Scholar 

  25. U. Feldmann, M. Hasler, W. Schwarz: On the design of a synchronizing inverse of a chaotic system. ECCTD’95, Istanbul, 1995, pp. 479–482.

    Google Scholar 

  26. U. Feldmann, M. Hasler, W. Schwarz: Communication by Chaotic Systems: The Inverse Systems Approach. Int. J. Circuit Theory and Applications 24 (1996) 5, pp. 531–579.

    Google Scholar 

  27. L. O. Chua: The genesis of Chua’s circuit. Archiv für Elektrotechnik und Übertragungstechnik 46 (1992) 4, pp. 250–257.

    Google Scholar 

  28. A. Isidori: Nonlinear Control Systems. 3. Edition, Springer-Verlag, 1995.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Straube, B., Reinschke, K., Vermeiren, W., Röbenack, K., Müller, B., Clauß, C. (2001). DAE-Index Increase in Analogue Fault Simulation. In: Merker, R., Schwarz, W. (eds) System Design Automation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6666-0_19

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-6666-0_19

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4886-1

  • Online ISBN: 978-1-4757-6666-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics