Refinement of methods for calculating the material flows of conveyor transportation systems in coal mines
O.A. Agafonov1, N.B. Afonina2
1 South coal company, Moscow, Russian Federation
2 Platov South-Russian State Polytechnic University (NPI), Novocherkassk, Russian Federation
Russian Mining Industry №6 / 2023 р. 89-94
Abstract: Productivity of a mining enterprise is limited by the possibility of its transportation subsystem, which efficiency improvement is an urgent scientific and practical task. Studying the processes of formation and transformation of material flows allows us to clarify the design methodology of continuous haulage systems. The normative methodology of belt conveyors selection is based on treating the material flows as normally distributed random variables, with the point value, i.e. the irregularity coefficient, being used as the main indicator. There are doubts in methodological justification of such an approach. The normal law of distribution in the classical variant adequately describes a random variable changing within infinite limits, and real mine material flows via the conveyor lines are random variables with unilateral constraints. The majority of tasks on finding the design ranges of material flows can be solved using experimentally established distribution functions (or probability density functions) of random quantities of material flows. Based on the publications in recent years, as well as on our own experimental studies, it is proposed to describe material flows by piecewise linear probability density functions, in particular the triangular ones, and to summarize material flows on the basis of general theoretical provisions of classical probability theory. The paper solves a particular problem of finding an analytical solution of the sum of two random material flows defined by the triangular distribution laws and compares the results of numerical integration of the probability densities of the material flows.
Keywords: material flow in mine, forecasting methods, belt conveyor, material flow distribution density, material flow distribution function, summing-up of random material flows
For citation: Agafonov O.A., Afonina N.B. Refinement of methods for calculating the material flows of conveyor transportation systems in coal mines. Russian Mining Industry. 2023;(6):89–94. (In Russ.) https://doi.org/10.30686/1609-9192-2023-6-89-94
Article info
Received: 21.09.2023
Revised: 24.10.2023
Accepted: 24.10.2023
Information about the authors
Oleg A. Agafonov – Technical Director, South Coal Company, Moscow, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Natalia B. Afonina – Cand. Sci. (Eng.), Associate Professor of the Chair of Mining Engineering, Platov South-Russian State Polytechnic University (NPI), Novocherkassk, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
References
1. Mertsalov R.V. Study of underground freight traffics and finding ways to improve the efficiency of use of mining conveyors [Candidate’s thesis]. Moscow; 1968. 167 p. (In Russ.)
2. Shakhmeyster L.G., Dmitriev V.G., Lobacheva A.K. Dynamics of freight traffic and regulating of the speed of a belt conveyor. Moscow; 1972. 163 p. (In Russ.)
3. Key provisions for the design of underground transport for new and existing coal mines. Moscow: Institute of Mining named after A. A. Skochinsky; 1986. 356 p. (In Russ.) Available at: https://meganorm.ru/Data2/1/4293726/4293726136.pdf
4. Peisakhovich G.Ya. (ed.) Methods for calculating and selecting equipment for underground transport of coal mines at the stage of the Feasibility Study. Moscow: TsentroGiproShakht; 1981. 47 p. (In Russ.) Available at: https://meganorm.ru/Data2/1/4293736/4293736806.pdf
5. Peisakhovich G.Ya., Romanov I.P. (eds). Underground transport of coalmines and metalmines. Moscow: Nedra; 1985. 565 p. (In Russ.)
6. Dyachenko V.P. Influence of the parameters of random cargo flow on the choice of the standard size of the conveyor belt. Mining Informational and Analytical Bulletin. 2005;(1):272–274. (In Russ.)
7. Dyachenko V.P. Forecasting of the probable mineral stream by coal – pits. Mining Informational and Analytical Bulletin. 2009;(S16):199– 208. (In Russ.)
8. Kondrakhin V.P., Stadnik N.I., Belitsky P.V. Statistical analysis of mine belt conveyor operating parameters. Naukovi Pratsi Donetskogo Natsionalnogo Tekhnichnogo Universitetu. Seriya: Girnicho-Elektromekhanichna. 2013;(2):140–150. (In Russ.)
9. Semenchenko A., Stadnik M., Belitsky P., Semenchenko D., Stepanenko O. The impact of an uneven loading of a belt conveyor on the loading of drive motors and energy consumption in transportation. Eastern-European Journal of Enterprise Technologies. 2016;4(1):42–51.
10. Reutov A.A. Simulation of the conveyor speed step control. Problems of Subsoil Use. 2017;(2):26–32. (In Russ.) https://doi.org/10.18454/2313-1586.2017.02.026
11. Dmitrieva V.V., Sizin P.E. Correlation analysis and method of modeling random load flow on collecting conveyor. Mining Informational and Analytical Bulletin. 2018;(10):145–155. (In Russ.) https://doi.org/10.25018/0236-1493-2018-10-0-145-155
12. Agafonov O.A. Experimental study traffic in a breakage face OOO “Colliery group “Sadkinskaya”. In: Contemporary Applied Research: Proceedings of the Third National Scientific and Practical Conference, Shakhty, April 16–19, 2019. Novocherkassk: Platov South-Russian State Polytechnic University; 2019, pp. 71–76. (In Russ.)
13. Agafonov O.A., Khazanovich G.S., Otrokov A.V. An analytical solution to the problem of summing two freight flows given by triangular distributions. In: 2020 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon), October 6–9, 2020. Vladivostok; 2020, pp. 1–5. https://doi.org/10.1109/FarEastCon50210.2020.9271499
14. Agafonov O.A., Otrokov A.V. Numerical solution of the problem of summation of continuous freight flows with an arbitrary distribution. In: Emelyanov N.V., Ketova K.V. (eds) Research and Innovations: Proceedings of the 10th International Scientific and Practical Conference, Saratov, July 27, 2021, Saratov: NOO “Tsifrovaya nauka”; 2021, pp. 87–95. (In Russ.)
