Abstract
The dynamic behavior of many chemical processes can be represented by an index-2 system of differential-algebraic equations. This index can be reduced by differentiation, but unfortunately the index reduced systems are not guaranteed to possess the same stability characteristics as that of the original system. When the set of differential-algebraic equations can be written in Hessenberg form, the matrix pencil of the linearized system can be used to directly evaluate the stability of a steady state without the need for index reduction. Direct evaluations of stability of reactive flash and reactive distillation are presented. It is also shown that a commonly used index reduction will always result in null eigenvalues at steady state. Stabilization methods were successfully applied to this reduced system. An alternative index reduction method for a reactive flash is generalized and shown to be highly sensitive to minor changes in the jacobian. © 2012 Elsevier Ltd.
Recommended Citation
D. A. Harney et al., "Numerical Evaluation of the Stability of Stationary Points of Index-2 Differential-algebraic Equations: Applications to Reactive Flash and Reactive Distillation Systems," Computers and Chemical Engineering, vol. 49, pp. 61 - 69, Elsevier, Feb 2013.
The definitive version is available at https://doi.org/10.1016/j.compchemeng.2012.09.021
Department(s)
Chemical and Biochemical Engineering
Keywords and Phrases
DAE stabilization; Index-2 DAE; Reactive distillation; Reactive flash; Stability
International Standard Serial Number (ISSN)
0098-1354
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Elsevier, All rights reserved.
Publication Date
11 Feb 2013
