Structural analysis of the computational properties of QP-DAE systems

Gordon D. Ingram, Adrien Leitold, K. Hangos

Research output: Contribution to journalArticle

Abstract

Many lumped dynamic models of process systems can be written without approximation in quasi-polynomial differential-algebraic equation (QP-DAE) form. We propose nonlinearity indices for QP-DAEs based on the system invariants. There are global (whole model) and local versions of the indices. The local ones are based on the implicit subsets (essential L-components) of the model. The indices are assessed against simulations of a vaporiser model with adjustable nonlinearity.

Original languageEnglish
Pages (from-to)1063-1068
Number of pages6
JournalComputer Aided Chemical Engineering
Volume18
Issue numberC
DOIs
Publication statusPublished - 2004

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Structural analysis
Differential equations
Polynomials
Dynamic models

Keywords

  • computational properties
  • decompositions
  • GLV models
  • nonlinearity

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Computer Science Applications

Cite this

Structural analysis of the computational properties of QP-DAE systems. / Ingram, Gordon D.; Leitold, Adrien; Hangos, K.

In: Computer Aided Chemical Engineering, Vol. 18, No. C, 2004, p. 1063-1068.

Research output: Contribution to journalArticle

Ingram, Gordon D. ; Leitold, Adrien ; Hangos, K. / Structural analysis of the computational properties of QP-DAE systems. In: Computer Aided Chemical Engineering. 2004 ; Vol. 18, No. C. pp. 1063-1068.
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