Skip to main content

On-Line Recognition of Critical States in Chemical Reaction Systems

  • Chapter
Scientific Computing in Chemical Engineering
  • 461 Accesses

Summary

The behavior of a continuous chemical reactor may change in an unpredictable way, if some system parameter being subject to a slow drift passes a bifurcation point. Then, for instance, the temperature suddenly increases or starts oscillating, which may cause a loss of production or even reactor accidents.

A hybrid approach for the on-line recognition of bifurcation points in chemical reaction systems is presented. The method does not require any global mathematical model of the underlying process, but it creates local ones and adapts it to measurements by means of a least-squares-optimization. The local models consist of compositions of so-called normal forms, which are differential equations of minimal dimension, and neural networks.

The models are constructed in a way that system stability as well as the type of the bifurcation being about to happen can be easily read off on model parameters.

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

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

  • Carr, J. (1981): Applications of Centre Manifold Theory. (Applied Mathematical Science, vol. 35 ) Springer, New York

    Google Scholar 

  • Guckenheimer, J., Holmes, P. (1983) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer, New York.

    Google Scholar 

  • Hertz, J., Krogh, A., Palmer, R. G. (1991): Introduction to the Theory of Neural Computation, first edition, Addison-Wesley, Redwood City, California.

    Google Scholar 

  • Seydel, R. (1993): BIFPACK: A program package for calculating bifurcations. Technical report, Universitat Ulm.

    Google Scholar 

  • Mihatsch, O. (1995): Recognition of critical states in chemical reaction systems using a normal form approach combined with neural nets. Report TUM-M9505, Technische Universitat München. [submitted to Chaos, Solitons and Fractals]

    Google Scholar 

  • Teymour, F., Ray, W. H. (1991): The dynamic behavior of continuous polymerization reactors - V. Experimental investigation of limit-cycle behavior for vinyl acetate polymerization. Chem. Engng Sci. 47 (15/16), 4121–4132.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Mihatsch, O. (1996). On-Line Recognition of Critical States in Chemical Reaction Systems. In: Keil, F., Mackens, W., Voß, H., Werther, J. (eds) Scientific Computing in Chemical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80149-5_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-80149-5_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-80151-8

  • Online ISBN: 978-3-642-80149-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics