Structural Analysis in the Dynamical Modelling of Chemical Engineering Systems

M. Weiss and H.A. Preisig

Mathematical and Computer Modelling of Dynamical Systems, 2000, vol. 6, issue 4, 325-364

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.

Date: 2000
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DOI: 10.1076/mcmd.6.4.325.3656

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