ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Numerical Algorithm for Searching the Optimal Temperature Regime of a Chemical Process on the Basis of Evolutionary Calculations

Author(s):

Evgenia Viktorovna Antipina

Candidate of Physical and Mathematical Sciences,
Senior Researcher of the Department of Scientific Research and Development,
Ufa University of Science and Technology

stepashinaev@ya.ru

Svetlana Anatolievna Mustafina

Doctor of Physical and Mathematical Sciences,
Vice-Rector for Branch Network Development,
Head of the Department of Mathematical Modeling,
Ufa University of Science and Technology

mustafina_sa@mail.ru

Andrey Fedorovich Antipin

Candidate of Technical Sciences,
Associate Professor of the Department of Applied Informatics and Programming,
Ufa University of Science and Technology

andrejantipin@ya.ru

Abstract:

An algorithm for calculating the optimal temperature profile of a chemical process is developed. The formulation of the problem of optimal control of the chemical process is given. The temperature of the reaction mixture is considered as a control, the values of which are subject to constraints. A finite-dimensional approximating problem is formulated, for the solution of which an algorithm based on the method of differential evolution is constructed. The work of the algorithm is tested on an industrially significant process of phthalic anhydride production. The optimal temperature regimes at which the highest degree of transformation of the starting substance, the highest concentration of the target product and the lowest content of the reaction by-product are achieved are calculated.

Keywords

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