TIME-SCALE ANALYSIS OF CHEMICAL REACTION SYSTEMS DYNAMICS†

Abstract

In dynamic simulation and control of chemical reaction systems physical state variables (compositions) are not often defined so as to facilitate the practical use of the system model. This ill-posedness frequently arises due to the presence of hidden time scales in the reaction dynamics. Transformation of variables is then often an efficient manner to facilitate the simulation and control of chemical reactors. In this paper, we emphasize the physical situation by examples and also present a manifold-based analysis which permits to construct a nonsingular transformation for expressing the original model in a explicit form. Using the coordinated-free approach, time scales in kinetic models are interpreted in terms of relaxation and conservation properties. As a whole, the paper provides conceptual fundamentals for a novel and powerful characterization of time-scale reaction variants and invariants

KEYWORDS:

• Time scales
• Singular perturbations
• Geometric description Relaxation and conservation properties
• Chemical reactor dynamics

Notes

†This work was done with the financial support of the National Research Council of Argentina (CONICET).

Additional information

Notes on contributors

ERNESTO C. MARTINEZ

Fellow of CONICET.