Continuous belt conveyor speed control in case of reduced spectral density of load flow

Authors: Dmitrieva V. V., Sizin P. E.

Mine transportation is currently concerned with improvement of conveyor efficiency. This study addresses the continuous conveyor speed control. The study was aimed to describe a transfer function for a servo-mechanism realizing an input signal—Q(t). The problem is complicated by the input signal repeat at a certain time lag t0 as the instantaneous change in the belt conveyor speed pursuant to the load flow variation is impossible. In case that the spectral density of the speed Q signal is proportional to the spectral density of the load flow, SQ (ω), using the method proposed by V.V. Solodovnikov, it is possible to arrive to the transfer function expression: Ф(jω) = e–αt0. The minimum mean square error for the control performance evaluation is found. Adjustment of the spectral density expression is proposed. The reduced spectral density is considered, as well as the new transfer function and the minimum mean square error of control are found. Load flows change much slower than relaxation processes in conveyors, the control performance becomes even better. At M (t) = 3σ(t) this improvement makes approximately 3% of mathematical expectation while Q Q conveyors become loaded up to 98.5 %. %. Accordingly, the controlling system has enough time to repeat input signals at a high accuracy and to keep full load of the conveyor without spillage by maintaining Q/v = h = const.

Keywords: belt conveyor, speed control, optimized transfer function, mine load flow, stochastic process, spectral density, correlation function, minimum mean square error of control.
For citation:

Dmitrieva V. V., Sizin P. E. Continuous belt conveyor speed control in case of reduced spectral density of load flow. MIAB. Mining Inf. Anal. Bull. 2020;(2):130-138. [In Russ]. DOI: 10.25018/0236-1493-2020-2-0-130-138.

Acknowledgements:
Issue number: 2
Year: 2020
Page number: 130-138
ISBN: 0236-1493
UDK: 622.647.21
DOI: 10.25018/0236-1493-2020-2-0-130-138
Article receipt date: 01.11.2019
Date of review receipt: 21.11.2019
Date of the editorial board′s decision on the article′s publishing: 20.01.2020
About authors:

V.V. Dmitrieva, Cand. Sci. (Eng.), Assistant Professor, Gubkin Russian State University of Oil and Gas (National Research University), 119991, Moscow, Russia, e-mail: dm-valeriya@yandex.ru,
P.E. Sizin, Cand. Sci. (Phys. Mathem.), Institute of Basic Education, National University of Science and Technology «MISiS», 119049, Moscow, Russia, e-mail: mstranger@list.ru.

 

For contacts:

P.E. Sizin, e-mail: mstranger@list.ru.

Bibliography:

1. Bahke T. Dimensioning and application of belt conveyors with intermediate belt drive (T-T System). Bulk Solids Handling. 1982, no 1, pp. 47—57.
2. Thompson M., Jennings A. Impumelelo coal mine is home to the world’s longest belt conveyor. Mınıng Engineering. 2016. Vol. 68, Iss. 10. pp. 14—35.
3. Fedorko G., Molnár V., Kopas M. Calculation and simulation model of a system RopeCon. TEM Journal. 2018. Vol. 7, Issue 3, Pp. 480—487, DOI: 10.18421/TEM73-02.
4. Mikušová N., Milľo S. Modelling of conveyor belt passage by driving drum using finite element methods. Advances in Science and Technology Research Journal. 2017, Vol. 11, Issue 4, pp. 239—246. DOI: 10.12913/22998624/80311.
5. Galkin V. I. Design features of belt conveyors with spatial track for transporting bulk materials. Mining Industry Journal, 2018, no 1 (137), pp. 84—86.
6. Dmitrieva V. V. Razrabotka i issledovanie sistemy avtomaticheskoy stabilizatsii pogonnoy nagruzki magistral'nogo konveyera [Development and research of the system of automatic stabilization of linear load of the main conveyor], Candidate’s thesis, Moscow, 2005, 162 p.
7. Mertsalov R. V. Issledovaniya podzemnykh gruzopotokov i ustanovlenie sposobov povysheniya effektivnosti ispol'zovaniya shakhtnykh konveyerov [Study of underground freight traffics and finding ways to improve the efficiency of use of mining conveyors], Candidate’s thesis, Moscow, 1968.
8. Zaretskiy O. M. Issledovanie neravnomernosti gruzopotokov iz ochistnykh zaboev ugol'nykh shakht i razrabotka metodiki rascheta i vyborki parametrov privoda vyravnivayushchikh bunker konveyerov [Investigation of unevenness of freight traffics from clean faces of coal mines and development of methods of calculation and selection of parameters of conveyor leveling hopper drives], Candidate’s thesis, Moscow, 1979.
9. Bragin V. V., Shevelev A. L., Larichkin L. D. Formation of coal freight traffic from a fully mechanized faces. Sbornik nauchnykh trudov assotsiatsii «Kuzbasugletekhnologiya». 1992, no 5, pp. 16—29. [In Russ].
10. Kondrakhin V. P., Stadnik N. I, Belitskiy P. V. Statistical analysis of the exploitation parameters of the mine band conveyor. Nauchnye trudy Donetskogo natsional'nogo tekhnicheskogo universiteta. Seriya: gorno-elektromekhanicheskaya. 2013, no 2(26), pp. 140—150. [In Russ].
11. Prokuda V. M., Mishanskiy Yu. A., Protsenko S. N. Investigation and evaluation of the freight traffic on the magistral conveyor transport of the PSP «Mine «Pavlogradskaya» PAO «DTEK Pavlogradugol». Gornaya elektromekhanika. 2012, no 88, pp. 107—111. [In Russ].
12. Dmitrieva V. V., Sizin P. E. Correlation analysis and method of modeling random load flow on collecting conveyor. Gornyy informatsionno-analiticheskiy byulleten’. 2018, no 10, pp. 145— 155. [In Russ]. DOI: 10.25018/0236-1493-2018-10-0-145-155.
13. Solod G. I. Оn technological prerequisites for automation of conveyors and conveyor lines in the mining industry. Transport gornykh predpriyatiy: Sbornik statey [Transport of mining enterprises: Collection of articles], Moscow, Nedra, 1968.
14. Solod G. I., Papoyan R. L. Basic technical and technological prerequisites for automation of mine conveyors with adjustable speed. Mekhanizatsiya i avtomatizatsiya rudnichnogo transporta: Sbornik statey [Mechanization and automation of mine transport], Moscow, Nedra, 1965, pp. 120—126.
15. Shakhmeyster L. G., Dmitriev V. G. Veroyatnostnye metody rascheta transportiruyushchikh mashin [Probabilistic methods for calculating transporting machines], Moscow, Mashinostroenie, 1983, 265 p.
16. Dmitriev V. G., Verzhanskiy A. P. Osnovy teorii lentochnykh konveyerov [Grounds of the belt conveyor theory], Moscow, Izd-vo «Gornaya kniga», 2017, 590 p.
17. Dmitriev V. G., Verzhanskiy A. P. Spetsial'nye lentochnye konveyery [Special belt conveyors], Moscow, Izd-vo «Gornaya kniga», 2019, 490 p.
18. Polderman J. W., Willems J. C. Introduction to mathematical systems theory: a behavioral approach (texts in applied mathematics), 2nd edition. New York: Springer, 2007. 455 p.
19. Solodovnikov V. V., Dmitriev A. N., Egupov N. D. Spektral'nye metody rascheta i proektirovaniya sistem upravleniya [Spectral methods of calculation and design of control systems], Moscow, Mashinostroenie, 1986, 406 p.
20. Solodovnikov V. V., Plotnikov V. N., Yakovlev A. V. Teoriya avtomaticheskogo upravleniya tekhnicheskimi sistemami: uchebnoe posobie dlya vuzov [Theory of automatic control of technical systems: Higher educational aid], Moscow, Izd-vo MGTU im. N.E. Baumana, 1993, 492 p.
21. Shakhmeyster L. G., Dmitriev V. G., Lobacheva A. K. Dinamika gruzopotokov i regulirovanie skorosti lentochnogo konveyera [Dynamics of freight traffic and regulating of the speed of a belt conveyor], Moscow, Izd-vo MGI, 1974, 45 p.
22. D'yachenko V. P. Methods of describing of the random freight traffic value of the band conveyors of mining enterprises on the basis of its empirical distributions. Gornyy informatsionnoanaliticheskiy byulleten’. 2007, no 3, pp. 287—289. [In Russ].
23. Dmitrieva V. V., Sizin P. E. Value and number of optimal gear change levels for conveyor belt velocity. MIAB. Mining Inf. Anal. Bull. 2019;(6):147-155. [In Russ]. DOI: 10.25018/02361493-2019-06-0-147-155.

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