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An optimal operating policy for a liquid‐liquid extraction column
Author(s) -
Pang K. H.,
Johnson A. I.
Publication year - 1971
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450490317
Subject(s) - column (typography) , extraction (chemistry) , process engineering , product (mathematics) , optimal control , transformation (genetics) , production (economics) , computer science , mathematics , mathematical optimization , chromatography , chemistry , engineering , economics , telecommunications , biochemistry , geometry , macroeconomics , frame (networking) , gene
This paper is concerned with the policy to be followed when changing the product produced from a small liquid‐liquid extraction column from one desired composition to another. The grade control policy developed minimizes the production of off‐grade material, or allows the material produced during the change‐over period to have a desired average composition. Such policies are believed important in operating multiproduct plants in Canadian chemical industry, where product changes are frequent. A linear dynamic mathematical model for the extraction column was derived from a previous frequency response study of a laboratory scale unit. The technique used in solving the optimal control problem is based on the minimum principle and a modified Riccati transformation.