Use of an interval global optimization tool for exploring feasibility of batch extractive distillation
| Autor: | Endre Rev, Tibor Csendes, Zsolt Fonyo, Zoltan Lelkes, Erika R. Frits, Mihály Csaba Markót |
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| Rok vydání: | 2007 |
| Předmět: |
Mathematical optimization
Control and Optimization Applied Mathematics Interval (mathematics) Management Science and Operations Research Phase plane Implicit function theorem Computer Science Applications Interval arithmetic Singular solution Extractive distillation Differential algebraic equation Global optimization Mathematics |
| Zdroj: | Journal of Global Optimization. 38:297-313 |
| ISSN: | 1573-2916 0925-5001 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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