Optimal Control of Hydrocarbons’ Hydrogenation with Catalysts

In this paper, the optimal control problem of hydrocarbons’ hydrogenation was investigated in the presence of two catalysts—Nickel–Kieselguhr and Raney Nickel. This multistage chemical reaction holds significant practical importance, particularly in the production of high-density fuels. The optimal...

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Main Authors: Maxim Sakharov, Kamila Koledina, Irek Gubaydullin
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/12/22/3570
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author Maxim Sakharov
Kamila Koledina
Irek Gubaydullin
author_facet Maxim Sakharov
Kamila Koledina
Irek Gubaydullin
author_sort Maxim Sakharov
collection DOAJ
description In this paper, the optimal control problem of hydrocarbons’ hydrogenation was investigated in the presence of two catalysts—Nickel–Kieselguhr and Raney Nickel. This multistage chemical reaction holds significant practical importance, particularly in the production of high-density fuels. The optimal control problem was reformulated as a nonlinear global optimization problem and addressed using a modified Mind Evolutionary Computation algorithm. The proposed modifications include methods designed to ensure solution feasibility and ease of practical implementation. Using the proposed method, the performance of the two catalysts was compared under constant temperature conditions and with optimal control strategies. The results demonstrate that selecting an effective catalyst has a greater impact on the reaction’s efficiency than temperature control alone, with the Raney Nickel catalyst consistently outperforming the Nickel–Kieselguhr catalyst by at least 17%. Additionally, the optimization approach was applied to identify a new set of catalyst parameters. The newly obtained catalyst parameters allowed for the improvement of the results of the Raney Nickel catalyst by 18%. The results of all numerical experiments and implementation details are described in the paper.
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spelling doaj-art-81b8883cc2664badaa16985c69d0adce2024-11-26T18:11:52ZengMDPI AGMathematics2227-73902024-11-011222357010.3390/math12223570Optimal Control of Hydrocarbons’ Hydrogenation with CatalystsMaxim Sakharov0Kamila Koledina1Irek Gubaydullin2CAD/CAE/PLM Department, Bauman Moscow State Technical University, 105005 Moscow, RussiaInstitute of Petrochemistry and Catalysis of Russian Academy of Sciences, 450075 Ufa, RussiaInstitute of Petrochemistry and Catalysis of Russian Academy of Sciences, 450075 Ufa, RussiaIn this paper, the optimal control problem of hydrocarbons’ hydrogenation was investigated in the presence of two catalysts—Nickel–Kieselguhr and Raney Nickel. This multistage chemical reaction holds significant practical importance, particularly in the production of high-density fuels. The optimal control problem was reformulated as a nonlinear global optimization problem and addressed using a modified Mind Evolutionary Computation algorithm. The proposed modifications include methods designed to ensure solution feasibility and ease of practical implementation. Using the proposed method, the performance of the two catalysts was compared under constant temperature conditions and with optimal control strategies. The results demonstrate that selecting an effective catalyst has a greater impact on the reaction’s efficiency than temperature control alone, with the Raney Nickel catalyst consistently outperforming the Nickel–Kieselguhr catalyst by at least 17%. Additionally, the optimization approach was applied to identify a new set of catalyst parameters. The newly obtained catalyst parameters allowed for the improvement of the results of the Raney Nickel catalyst by 18%. The results of all numerical experiments and implementation details are described in the paper.https://www.mdpi.com/2227-7390/12/22/3570global optimizationoptimal controlevolutionary computationchemical reactions
spellingShingle Maxim Sakharov
Kamila Koledina
Irek Gubaydullin
Optimal Control of Hydrocarbons’ Hydrogenation with Catalysts
Mathematics
global optimization
optimal control
evolutionary computation
chemical reactions
title Optimal Control of Hydrocarbons’ Hydrogenation with Catalysts
title_full Optimal Control of Hydrocarbons’ Hydrogenation with Catalysts
title_fullStr Optimal Control of Hydrocarbons’ Hydrogenation with Catalysts
title_full_unstemmed Optimal Control of Hydrocarbons’ Hydrogenation with Catalysts
title_short Optimal Control of Hydrocarbons’ Hydrogenation with Catalysts
title_sort optimal control of hydrocarbons hydrogenation with catalysts
topic global optimization
optimal control
evolutionary computation
chemical reactions
url https://www.mdpi.com/2227-7390/12/22/3570
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AT irekgubaydullin optimalcontrolofhydrocarbonshydrogenationwithcatalysts