Improvement of the mathematical model for obtaining finely dispersed material to create an automated production process control system

S.S. Zakozhurnikov, G.S. Zakozhurnikova, T.A. Gorshunova, O.A. Pikhtilkova, E.V. Pronina

Abstract. The main requirements for large industrial enterprises are to increase the energy efficiency of technological processes and improve the environmental friendliness of production. One of the possible solutions to these problems is modeling the main processes occurring in installations and creating an automated control system based on mathematical models. The industrial process for the silicon carbide production is considered. Increase of the process efficiency occurs due to the creation of more advanced operating modes of resistance furnaces based on information obtained during mathematical modeling about the processes that have the greatest impact on melting. Based on the mathematical model, it is possible to build an automated melting process control system, which, based on temperature data at various points in the resistance furnace, will support the most effective silicon carbide melting modes. The mathematical model takes into account the main processes occurring in a resistance furnace during melting, namely: chemical reactions, gas component filtration, the material drying, and energy release attributable to the resistance furnace heater. The technological process mathematical model for the silicon carbide production has been improved. Theoretical foundations for constructing an automated production process control system based on temperature data at the furnace various points were proposed. The current state of the issue of industrial silicon carbide production is presented in the paper. The mathematical model of heat and mass transfer processes in a high-temperature resistance furnace is considered using the example of the technological process of silicon carbide production SiC. The performance of the developed mathematical model was verified by comparing the experiments performed and numerical calculations. The use of an automated control system based on an improved mathematical model is possible at industrial enterprises engaged in the production of fine materials, for example, silicon carbide. The reliability of the results obtained is confirmed by a comparison of experimental data and data obtained using mathematical modeling at the most important points (at the core surface and at the periphery) without taking into account the heating and cooling stages of the resistance furnace. The discrepancy between the data at a point close to the core was a maximum of 15%, and at a point on the periphery – 5%, which is a satisfactory result.

Keywords: silicon carbide, mathematical model, control system

For citation. Zakozhurnikov S.S., Zakozhurnikova G.S., Gorshunova T.A., Pikhtilkova O.A., Pronina E.V. Improvement of the mathematical model for obtaining finely dispersed material to create an automated production process control system. News of the Kabardino-Balkarian Scientific Center of RAS. 2024. Vol. 26. No. 2. Pp. 11–25.  DOI: 10.35330/1991-6639-2024-26-2-11-25