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Structural Analysis in the Dynamical Modelling of Chemical Engineering Systems

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  • M. WEISS
  • H.A. PREISIG

Abstract

The dynamical modelling of physical (bio-)chemical processes based on first principles considerations is analysed from a structural point of view. Based on a classification of the variables and equations that occur in such models, we propose a general framework that can help to organise the model in a transparent way and to analyse efficiently its solv- ability properties. We show that a well-known tool in the theory of nonlinear dynamical systems, the Zero Dynamics Algorithm, can be used in the analysis of higher index mod- els and also in index reduction. The symbolic computations involved in this algorithm are readily available in the form of nonlinear system analysis packages. The proposed methods are illustrated by a few simple concrete examples. Keywords : First principles modelling, differential-algebraic systems, index reduction.

Suggested Citation

  • M. Weiss & H.A. Preisig, 2000. "Structural Analysis in the Dynamical Modelling of Chemical Engineering Systems," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 6(4), pages 325-364, December.
    • Handle: RePEc:taf:nmcmxx:v:6:y:2000:i:4:p:325-364
    DOI: 10.1076/mcmd.6.4.325.3656
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