Use of an interval global optimization tool for exploring feasibility of batch extractive distillation

Erika R. Frits, Mihály Csaba Markót, Z. Lelkés, Z. Fonyó, T. Csendes, E. Rév

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

An interval arithmetic based branch-and-bound optimizer is applied to find the singular points and bifurcations in studying feasibility of batch extractive distillation. This kind of study is an important step in synthesizing economic industrial processes applied to separate liquid mixtures of azeotrope-forming chemical components. The feasibility check methodology includes computation and analysis of phase plots of differential algebraic equation systems (DAEs). Singular points and bifurcations play an essential role in judging feasibility. The feasible domain of parameters can be estimated by tracing the paths of the singular points in the phase plane; bifurcations indicate the border of this domain. Since the algebraic part of the DAE cannot be transformed to an explicit form, implicit function theorem is applied in formulating the criterion of bifurcation points. The singular points of the maps at specified process parameters are found with interval methodology. Limiting values of the parameters are determined by searching for points satisfying bifurcation criteria.

Original languageEnglish
Pages (from-to)297-313
Number of pages17
JournalJournal of Global Optimization
Volume38
Issue number2
DOIs
Publication statusPublished - Jun 2007

Fingerprint

Industrial economics
Azeotropes
Distillation
Global optimization
bifurcation
distillation
Singular Point
Global Optimization
Batch
Differential equations
Interval
Bifurcation
Liquids
Bifurcation Point
Implicit Function Theorem
Phase Plane
Interval Arithmetic
Methodology
Algebraic Differential Equations
Branch-and-bound

Keywords

  • Bifurcation
  • Extractive distillation
  • Feasibility
  • Interval arithmetic

ASJC Scopus subject areas

  • Applied Mathematics
  • Control and Optimization
  • Management Science and Operations Research
  • Global and Planetary Change

Cite this

Use of an interval global optimization tool for exploring feasibility of batch extractive distillation. / Frits, Erika R.; Markót, Mihály Csaba; Lelkés, Z.; Fonyó, Z.; Csendes, T.; Rév, E.

In: Journal of Global Optimization, Vol. 38, No. 2, 06.2007, p. 297-313.

Research output: Contribution to journalArticle

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