Algorithm for catalytic processes multicriteria optimization solution stability analysis to small perturbations in the parameters, through the kinetic model
https://doi.org/10.23947/2587-8999-2020-1-1-47-55
Abstract
The multicriteria complex catalytic reactions optimal control based on the kinetic model is relevant for both industrial and laboratory processes. It is necessary to determine the stability radius for each parameter, for the chemical kinetics problems in the analysis of multicriteria optimization stability, with the aim of possible change in the calculated values with a given error.
The multicriteria optimization problem statement (MCO) for the catalytic reaction based on the kinetic model is presented. The solution stability definition of the MCO problem and the stability radius is given.
An algorithm has been developed for calculating the stability radius of the MCO problem solution. The problem of the MCO conditions was solved on the kinetic model basis for the catalytic reaction of primary amines methylation with dimethyl carbonate, and the acceptable range of changes in the optimal temperature and reaction time was calculated to prevent a strong change in the optimality criteria values.
The multicriteria complex catalytic reactions optimal control based on the kinetic model is relevant for both industrial and laboratory processes. However, only the all effective trajectories calculation, the varied parameters values and optimality criteria is insufficient. For the application in practice of the calculated modes for decision makers (DM), information on the acceptable interval for changing the optimal modes is important. In this work, for the catalytic reaction of methylation of primary amines with dimethyl carbonate, the problem of the MCO conditions was carried out on the basis of the kinetic model and the allowable range of changes in the optimal temperature and reaction time was calculated to prevent a strong change in the values of the optimality criteria.
Keywords
About the Authors
K. F. KoledinaRussian Federation
Kamila F. Koledina, Cand.Sci. (Phys.-Math.), associate professor, researcher, associate professor of the Mathematics Department Institute of Petrochemistry and Catalysis of RAS
Kosmonavtov St., Ufa
S. N. Koledin
Russian Federation
Sergey N. Koledin, Ph.Dr. (Phys.-Math.), associate professor of the Mathematics Department
Kosmonavtov St., Ufa
I. M. Gubaydullin
Russian Federation
Irek M. Gubaydullin, Dr.Sci. (Phys.-Math.), associate professor, senior researcher, professor of the Oil and Gas Technology Department
Kosmonavtov St., Ufa
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Review
For citations:
Koledina K.F., Koledin S.N., Gubaydullin I.M. Algorithm for catalytic processes multicriteria optimization solution stability analysis to small perturbations in the parameters, through the kinetic model. Computational Mathematics and Information Technologies. 2020;4(1):47-55. https://doi.org/10.23947/2587-8999-2020-1-1-47-55