Minimal State Representations for Homogeneous Reaction Systems

• Submitted to: Computers and Chemical Engineering (ISSN: 0098-1354)
• Elsevier, 2011

A minimal state representation is a dynamic model with no redundant states. For homogeneous reaction systems consisting of S species, R independent reactions, p independent inlet streams, and one outlet stream, a recently developed linear transformation and a novel nonlinear transformation of the numbers of moles vector are investigated. The linear transformation leads to extents of reaction, extents of flow, and reaction and flow invariants, while the nonlinear transformation leads to reaction variants, flow variants, and reaction and flow invariants. The conditions under which these two transformed models are minimal state representations of order (R+p+1) are presented. A simulation example illustrates the theoretical developments.

Keywords: Model reduction ; minimal order ; homogeneous reaction systems ; minimal state representation

Reference

• EPFL-ARTICLE-152549
• doi:NA

Record created on 2010-10-04, modified on 2012-03-21