An Interval-Simplex Approach to Determine Technological Parameters from Experimental Data

Ilia Beloglazov () and Kirill Krylov
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Ilia Beloglazov: Department of Automation of Technological Processes and Production, Saint Petersburg Mining University, 199106 Saint Petersburg, Russia
Kirill Krylov: Department of Automation of Technological Processes and Production, Saint Petersburg Mining University, 199106 Saint Petersburg, Russia

Mathematics, 2022, vol. 10, issue 16, 1-12

Abstract: Statistical equations are widely used to describe the laws of various chemical technological processes. The values of constants and parameters included in these equations are determined by various methods. Methods that can determine the values of equation parameters using a limited amount of experimental data are of particular practical interest. In this manuscript, we propose a method to obtain simplex-interval equations. The proposed approach can be effectively used to control the values of technological process parameters. In this paper, we consider examples of chemical kinetics equation transformations and heterogeneous processes of solid particle dissolution. In addition, we describes mathematical model transformations, including equations for functions of the residence time distribution (RTD) of apparatus particles, the distribution of particles by size, etc. Finally, we apply the proposed approach to an example involving modeling of the calcination of coke in a tubular rotary kiln.

Keywords: kinetic equations; chemical process; simplex method; interval method; metallurgical process; residence time distribution; mathematical modeling; tubular rotary kiln (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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