Kiriia R.V. Mathematical models of functioning of accumulating bunkers in systems of underground conveyor transport of coal mines

Geoteh. meh. 2020, 151, 216-233

DOI: https://doi.org/10.15407/geotm2020.151.216

Mathematical models of functioning of accumulating bunkers in systems of underground conveyor transport of coal mines

1Kiriia R.V.

1Institute of Geotechnical Mechanics named by N. Poljakov of NAS of Ukraine

UDC 004.942:622.647.8 (043.3)

Language: Russian

Abstract.

The article is devoted to the question of mathematical modeling of the functioning of storage bins of underground conveyor systems of coal mines under various operating modes, as well as the determination of the optimal volume of storage bins based on these models.

Conveyor transport is one of the main links in underground coal mining.

Currently, due to the intensification of mining operations, mines with a large number of lavas from 3 to 7 and coal productivity from 6 to 15 thousand tons per shift have become widespread. The underground conveyor system of these mines is a large number of conveyors with a complex branched structure. However, such conveyor transport systems due to the large number of conveyors, their downtime for emergency, technological and organizational reasons have low throughput.

To increase the throughput capacity of underground coal mine transport systems due to space limitations, storage bins are used. Accumulating bunkers allow, due to the accumulation of a certain amount of cargo in the bunkers in the event of idle time of the lavas and conveyors, for various reasons, to continue the operation of the conveyor transport system for some time and thereby increase its throughput. However, the efficiency of the use of storage bins in the conveyor system of coal mines is low due to the lack of sufficiently simple mathematical models of their functioning, which allows determining the number and location of accumulating bins in the system of conveyor transport, as well as their optimal volumes.

Based on the theory of Markov processes, simplified mathematical models of the functioning of accumulating bunkers operating in uncontrolled and controlled modes are obtained. The throughput of the conveyor-hopper-conveyor system with an accumulating hopper operating in uncontrolled and controlled modes is determined. A comparative analysis of the operation of the storage hopper in uncontrolled and controlled modes is done. The maximum volume of the storage hopper is determined, beyond which the capacity of the storage hopper does not increase.

Keywords:

storage bunker, underground conveyor system, mathematical models of functioning

References:

1.   Petrenko, S.Ya., Polant, G.Ya., Shkonda, V.V. and Chupika, A.N. (1990), Progressivnaya tekhnika i tekhnologiya na podzemnom transporte ugolnykh shakht [Progressive engineering and technology in underground transport of coal mines], Tekhnika, Kiev, Ukraine.

2.   Kiriia, R.V., Maksyutenko, V.Yu. and Braginets, D.D. (2012), “Coal mine conveyor transport systems bunker control”, Zbirnyk naukovykh prats Natsionalnohо hirnychoho universytetu, no. 37, pp. 230-236.

3.   Vladziyevskiy, A.P. (1958), Avtomaticheskiye linii v mashinostroyenii. Kniga 1 [Automatic lines in mechanical engineering. Book 1], Mashgiz, Moscow, USSR.

4.   Kordonskiy, Kh.B. (1963), Prilozheniya teorii veroyatnostey v inzhenernom dele [Applications of probability theory in engineering], Fizmatgiz, Moscow-Leningrad, USSR.

5.   Ponomarenko, V.A., Kreymer, E.L. and Dunaev, G.A. (1975), Sistemy podzemnogo transporta na ugolnykh shakhtakh [Underground transport systems in coal mines], Nedra, Moscow, USSR.

6.   Shakhmeyster, L.G. and Yaroshevskiy, B.I. (1967), “Calculation of the averaging capacity of a lava by the methods of queuing theory”, Coal of Ukraine, no. 8, pp. 66-68.

7.   Cherkesov, G.N. (1974), Nadezhnost tekhnicheskikh sistem s vremennoy izbytochnostyu [Reliability of technical systems with temporary redundancy], Sovetskoye radio, Moscow, USSR.

8.   Druzhinin, G.V. (1986). Nadezhnost’ avtomatizirovannykh proizvodstvennykh sistem [Reliability of automated production systems], Energoatomizdat, Moscow, USSR.

9.   Gnedenko, B.V., Belyaev, Yu.K. and Soloviev, A.D. (1965), Matematicheskiye metody v teorii nadezhnosti [Mathematical methods in the theory of reliability], Nauka, Moscow, USSR.

10. Venttsel, E.S. and Ovcharov, L.A. (2011), Teoriya sluchaynykh protsessov i yeye inzhenernyye prilozheniya: uchebnoye posobiye [The theory of random processes and its engineering applications: a training manual], KNORUS, Moscow, Russia.

11. Henli, E.Dzh. and Kumamoto, H. (1984), Nadezhnost tekhnicheskikh sistem i otsenka riska [Reliability of technical systems and risk assessment], Mashinostroeniye, Moscow, USSR.

12. Kiriia, R.V. and Babenko, J.V. (2016), “Modeling of functioning processes of underground conveyor transport of coal mines with controlled accumulative hoppers”, Systemni tekhnolohii, no. 6 (107), pp. 88-97.

About the authors:

Kiriia Ruslan Visarionovich, Doctor of Technical Sciences (D.Sc.), Senior Researcher, Senior Researcher in Department of Geomechanics of Mineral Opencast Mining Technology, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine, Dnipro, Ukraine, Ця електронна адреса захищена від спам-ботів. вам потрібно увімкнути JavaScript, щоб побачити її.