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Developing a Comprehensive Mathematical Model for Aluminium Production in a Soderberg Electrolyser

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Listed:
  • Yury Valeryevich Ilyushin

    (Dean of the Economics Department, Saint Petersburg Mining University, 199106 Saint Petersburg, Russia)

  • Ekaterina Ivanovna Kapostey

    (System Analysis and Control, Saint Petersburg Mining University, 199106 Saint Petersburg, Russia)

Abstract

The technological process of aluminium electrolysis is a complex scientific and technical task. This is due to a large number of internal, external and resultant factors. The aim of this work is to analyse these factors, assess them and their influence on the technological process of electrolysis and develop a comprehensive and mathematical model of aluminium production in the Soderberg electrolyser. The work analyses the technological process of primary aluminium production on the basis of the Bayer method and then on the basis of the Hall–Eru method. The existing methods and technologies for computer modelling of the technological process are analysed. The modern methods of analysis for thermal and electromagnetic fields in electrolysers are considered. On the basis of an in-depth analysis, a number of factors influencing the process of primary aluminium production are identified. Using the methods of system analysis to analyse the identified factors, a ranked list of factors according to the degree of influence is obtained. Using the Pareto diagram, we obtain a list of factors with maximum impact. A conceptual model of the technological process is derived. Based on the obtained conceptual model, the mathematical model of the technological process is derived. The conducted research may be useful to specialists in the field of metallurgy for the analysis of the technological processes of primary aluminium production.

Suggested Citation

  • Yury Valeryevich Ilyushin & Ekaterina Ivanovna Kapostey, 2023. "Developing a Comprehensive Mathematical Model for Aluminium Production in a Soderberg Electrolyser," Energies, MDPI, vol. 16(17), pages 1-28, August.
  • Handle: RePEc:gam:jeners:v:16:y:2023:i:17:p:6313-:d:1229324
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    References listed on IDEAS

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    1. Ekaterina Golovina & Svetlana Pasternak & Pavel Tsiglianu & Nikolay Tselischev, 2021. "Sustainable Management of Transboundary Groundwater Resources: Past and Future," Sustainability, MDPI, vol. 13(21), pages 1-16, November.
    2. Yuan-Zhang Sun & Jin Lin & Yong-Hua Song & Jian Xu & Xiao-Ming Li & Jian-Xun Dong, 2012. "An Industrial System Powered by Wind and Coal for Aluminum Production: A Case Study of Technical Demonstration and Economic Feasibility," Energies, MDPI, vol. 5(11), pages 1-26, November.
    3. Irina Gennadyevna Gerasimova & Irina Sergeevna Oblova & Ekaterina Ilinichna Golovina, 2021. "The Demographic Factor Impact on the Economics of the Arctic Region," Resources, MDPI, vol. 10(11), pages 1-16, November.
    4. Mikhail Marinin & Oksana Marinina & Radosław Wolniak, 2021. "Assessing of Losses and Dilution Impact on the Cost Chain: Case Study of Gold Ore Deposits," Sustainability, MDPI, vol. 13(7), pages 1-18, March.
    5. Elena Katysheva, 2023. "Analysis of the Interconnected Development Potential of the Oil, Gas and Transport Industries in the Russian Arctic," Energies, MDPI, vol. 16(7), pages 1-22, March.
    6. Oksana Marinina & Anna Tsvetkova & Yurii Vasilev & Nadejda Komendantova & Anna Parfenova, 2022. "Evaluating the Downstream Development Strategy of Oil Companies: The Case of Rosneft," Resources, MDPI, vol. 11(1), pages 1-21, January.
    7. Walmsley, Timothy Gordon & Ong, Benjamin H.Y. & Klemeš, Jiří Jaromír & Tan, Raymond R. & Varbanov, Petar Sabev, 2019. "Circular Integration of processes, industries, and economies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 107(C), pages 507-515.
    8. Oksana Marinina & Anna Nechitailo & Gennady Stroykov & Anna Tsvetkova & Ekaterina Reshneva & Liudmila Turovskaya, 2023. "Technical and Economic Assessment of Energy Efficiency of Electrification of Hydrocarbon Production Facilities in Underdeveloped Areas," Sustainability, MDPI, vol. 15(12), pages 1-25, June.
    9. Tatiana Ponomarenko & Ekaterina Reshneva & Alexander Patricio Mosquera Urbano, 2022. "Assessment of Energy Sustainability Issues in the Andean Community: Additional Indicators and Their Interpretation," Energies, MDPI, vol. 15(3), pages 1-27, February.
    10. Anzhelika M. Eremeeva & Natalia K. Kondrasheva & Artyom F. Khasanov & Ivan L. Oleynik, 2023. "Environmentally Friendly Diesel Fuel Obtained from Vegetable Raw Materials and Hydrocarbon Crude," Energies, MDPI, vol. 16(5), pages 1-12, February.
    11. Oksana Marinina & Natalia Kirsanova & Marina Nevskaya, 2022. "Circular Economy Models in Industry: Developing a Conceptual Framework," Energies, MDPI, vol. 15(24), pages 1-21, December.
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