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Optimization of distillation units using collocation models
Author(s) -
Seferlis P.,
Hrymak A. N.
Publication year - 1994
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690400508
Subject(s) - tray , orthogonal collocation , distillation , classification of discontinuities , fractionating column , mathematical optimization , mathematics , collocation (remote sensing) , collocation method , column (typography) , set (abstract data type) , computer science , mathematical analysis , engineering , chemistry , geometry , chromatography , mechanical engineering , ordinary differential equation , connection (principal bundle) , machine learning , differential equation , programming language
Reduced‐order models are developed based on orthogonal collocation on finite elements for the steady‐state optimization of multicomponent distillation units. The formulation divides the column sections into subdomains (finite elements) to track irregularities in the column profiles accurately and requies that plates with discontinuities in the flows introduced by feedstreams or sidestreams should be treated as discrete equilibrium stages. Application of the model formulation to a number of examples show that reduced‐order models converge to the same optimal solution as the full‐order, tray‐by‐tray model. Optimization results show that computational time can be reduced significantly using the more compact model formulation, and it is possible to converge to the optimal solution from a larger region for the initial set of variable values.