Development of mathematical models of power consumption at coal plants
DOI:
https://doi.org/10.15587/1729-4061.2024.313932Keywords:
energy consumption, probability theory, mathematical models, power consumption modes, daily consumption, mathematical statisticsAbstract
The object of research is coal enterprises where powerful electrical equipment is used (underground installations up to 3000 kW, tunneling complexes of 500–1500 kW, technological complexes of 6–10/0.4 kV, etc.). The deficit of generated capacities, caused by growing energy consumption, can be reduced by regulating power consumption modes.
The relevance of this issue is determined by the need to conduct a research of the electricity consumption system, to determine the qualitative and quantitative characteristics of electricity consumption using mathematical models.
The lack of mathematical models makes it difficult to analyze energy intensity and consumption modes of each technological operation in the overall balance of electricity consumption of coal enterprises.
The article considers the structure and classification of the main technological groups of energy consumers, the development of mathematical models for each type of load modes, as well as a generalized model of electricity consumption of coal enterprises, with the use of mathematical apparatus of probability theory and mathematical statistics.
As a result of the work, mathematical models of the electricity consumption process for the main technological groups and for models of daily electricity consumption of coal enterprises as a whole were developed, and it was also established that technological objects of electricity consumption are divided into three different values, in terms of power consumption modes: constant, uniform and pulse. For each class of consumers their statistical characteristics were obtained.
The work results can be applied for managing power consumption modes of coal enterprises
References
- Reymov, K. M., Turmanova, G. M., Makhmuthonov, S. K., Uzakov, B. A. (2020). Mathematical models and algorithms of optimal load management of electrical consumers. E3S Web of Conferences, 216, 01166. https://doi.org/10.1051/e3sconf/202021601166
- Petrov, V., Sadridinov, A., Pichuev, A. (2020). Analysis and Modeling of Power Consumption Modes of Tunnelling Complexes in Coal Mines. E3S Web of Conferences, 174, 01006. https://doi.org/10.1051/e3sconf/202017401006
- Homayouni, S. M., Fontes, D. B. M. M. (2023). Optimizing job shop scheduling with speed‐adjustable machines and peak power constraints: A mathematical model and heuristic solutions. International Transactions in Operational Research, 32 (1), 194–220. https://doi.org/10.1111/itor.13414
- Wang, L., Wei, P., Li, W., Du, L. (2024). Modelling and optimization method for energy saving of computer numerical control machine tools under operating condition. Energy, 306, 132556. https://doi.org/10.1016/j.energy.2024.132556
- Wen, L., Zhong, D., Bi, L., Wang, L., Liu, Y. (2024). Optimization Method of Mine Ventilation Network Regulation Based on Mixed-Integer Nonlinear Programming. Mathematics, 12 (17), 2632. https://doi.org/10.3390/math12172632
- Świętochowski, K., Andraka, D., Kalenik, M., Gwoździej-Mazur, J. (2024). The Hourly Peak Coefficient of Single-Family and Multi-Family Buildings in Poland: Support for the Selection of Water Meters and the Construction of a Water Distribution System Model. Water, 16 (8), 1077. https://doi.org/10.3390/w16081077
- Reshetnyak, S., Golubov, E. (2024). Methods of power consumption in conditions of high-productive areas of coal mines. BIO Web of Conferences, 84, 05008. https://doi.org/10.1051/bioconf/20248405008
- Fumo, N., Rafe Biswas, M. A. (2015). Regression analysis for prediction of residential energy consumption. Renewable and Sustainable Energy Reviews, 47, 332–343. https://doi.org/10.1016/j.rser.2015.03.035
- Majola, C. M. D., Langerman, K. E. (2023). Energy efficiency in the South African mining sector: A case study at a coal mine in Mpumalanga. Journal of the Southern African Institute of Mining and Metallurgy, 123 (9), 451–462. https://doi.org/10.17159/2411-9717/1788/2023
- Kubrin, S., Reshetnyak, S., Zakorshmenny, I., Karpenko, S. (2022). Simulation modeling of equipment operating modes of complex mechanized coal mine face. Sustainable Development of Mountain Territories, 14 (2), 286–294. https://doi.org/10.21177/1998-4502-2022-14-2-286-294
- Nurmaganbetova, G., Issenov, S., Kaverin, V., Issenov, Z. (2023). Development of a virtual hardware temperature observer for frequency-controlled asynchronous electric motors. Eastern-European Journal of Enterprise Technologies, 3 (1 (123)), 68–75. https://doi.org/10.15587/1729-4061.2023.280357
- Avdeev, L. A. (2018). Energy-saving technologies in coal mines. Karaganda: KarSTU Publishing House, 159.
- Avdeyev, L. A., Kokin, S. E., Telbayeva, S. Z. (2024). Research of electric load schedules in the conditions of the Karaganda coal basin. Bulletin of Toraighyrov University. Energetics Series, 1, 6–21. https://doi.org/10.48081/rzhd2721
- Avdeyev, L., Kaverin, V., Sychev, Y., Telbayeva, S. (2024). Research of the Power Consumption System Coal Mine. Trudy Universiteta, 1. https://doi.org/10.52209/1609-1825_2024_1_445
- Enatskaya, N. Y., Hakimullin, E. R. (2023). Probability theory and mathematical statistics for engineering and technical areas. Moscow: YURAYT Publishing House, 399.
- Enatskaya, N. Y. (2024). Mathematical statistics and random processes. Moscow: YURAYT Publishing House, 201.
- Druzhinin, V., Sivyakova, G., Kalinin, A., Tytiuk, V., Nikolenko, A., Kuznetsov, V., Kuzmenko, M. (2022). Preventing the development of emergency modes of interlocked electric drives of a rolling mill under the impact loads. Diagnostyka, 24 (1), 1–13. https://doi.org/10.29354/diag/157089
- Manusov, V. Z., Orlov, D. V., Sultonov, S., Ahyoev, J., Bumtsend, U. (2022). Analysis of electricity consumption of electrical machines of a coal industry enterprise using the wavelet transform. IOP Conference Series: Earth and Environmental Science, 1070 (1), 012002. https://doi.org/10.1088/1755-1315/1070/1/012002
- Issenov, S. S., Issenov, Zh. S., Nurlan, N. N., Mendybaev, S. A. (2017). Development of algorithm flow graph, mealy automaton graph and mathematical models of microprogram control mealy automaton for microprocessor control device. 2017 International Siberian Conference on Control and Communications (SIBCON), 12, 1–6. https://doi.org/10.1109/sibcon.2017.7998502
- Ji, J., Miao, C., Li, X. (2020). Research on the energy-saving control strategy of a belt conveyor with variable belt speed based on the material flow rate. PLOS ONE, 15 (1), e0227992. https://doi.org/10.1371/journal.pone.0227992
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Copyright (c) 2024 Shynar Telbayeva, Gulim Nurmaganbetova, Leonid Avdeyev, Vladimir Kaverin, Sultanbek Issenov, Dariuzs Janiszewski, Karshiga Smagulova, Gulmira Nurmagambetova
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