Modeling of power consumption of ball mill

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The possibility of predicting energy consumption for ball mill concentrator when implementing intelligent forecasting system. Compiled model to determine the power consumption of the electric drive of a ball mill. The modeling work mill with no load and during grinding the ore. The simulation results are confirmed by instrumental measurements motor power at various modes of operation of the mill. The proposed model for determining the power consumption of a ball mill allows an assessment of the efficiency of electric energy consumption and electric mills identify qualitative indicators of regulatory systems in the implementation of intellectual electricity forecasting system at the processing plant, to control the schedule of load; forecast production cycles and peak power values; redistribute the load and analyze changes in the mill operation.

About the Authors

N. M. Kuznetsov
Centre for Physical and Technological Problems of Energy in Northern Areas of Kola Science Centre of the Russian Academy of Sciences
Russian Federation

Candidate of Engineering Science, Leading Researcher

Russia, 184209, Apatity, Murmansk region, md. Akademgorodok, 21A

I. N. Morozov
Murmansk Arctic State University
Russian Federation

Candidate of Engineering Science, Associate Professor

Russia, 183038, Murmansk, Kapitan Egorov Str., 15


1. Austin L. G. Klimpel R. R., Luckie P. T. and Rogers R. S. C., (1982), Simulation of grinding circuits for design, Design and Installation of Comminution Circuits, American Institute of Mining, Metallurgical and Petroleum Engineers Inc, New Jersey, 1982, Editor; Mular, A. L., Jergensen, G. V., Chapter 19, pp. 301-324.

2. Austin L. G., Klimpel, R. R. and Luckie, P. T. (1984), Process engineering of size reduction: ball milling, American Institute of Mining, Metallurgical and Petroleum Engineers Inc, New Jersey, 1984, pp. 1-556.

3. Bbosa LS, Govender I, Mainza AN, et al. Power draw estimations in experimental tumbling mills using PEPT. Miner Eng 2011; 24: 319–324

4. Bbosa, L., Mainza, A., Govender, I. A probability based model for the power draw of a tumbling mill (2014) IMPC 2014 - 27th International Mineral Processing Congress.

5. Bbosa, L.S., Govender, I., Mainza, A. Development of a novel methodology to determine mill power draw (2016) International Journal of Mineral Processing, 149, pp. 94-103. DOI: 10.1016/j.minpro.2016.02.009

6. BCS, Inc. 2002. Mining industry of the future, Energy and environmental profile of the U.S mining industry, U.S Department of Energy.

7. Cawley, J.C. Electrical accidents in the mining industry, 1990-1999 (2003) IEEE Transactions on Industry Applications, 39 (6), pp. 1570-1577. DOI: 10.1109/TIA.2003.818963

8. Cawley, J.C. Electrical accidents in the mining industry, 1990-1999 (2001) Conference Record - IAS Annual Meeting (IEEE Industry Applications Society), 2, pp. 1361-1368.

9. Cawley, J.C., Homce, G.T. Protecting miners from electrical arcing injury (2007) Conference Record - IAS Annual Meeting (IEEE Industry Applications Society), art. no. 4347962, pp. 1373-1380. DOI: 10.1109/IAS.2007.213

10. China ERI Analysis of Ministry of Industry and Information, industrial associations and China Statistical Yearbook 2015, China Energy Research Institute of the National Development and Reform Commission, (2016). Beijing.

11. Cleary PW and Morrison RD. Particle methods for modelling in mineral processing. Int J Comput Fluid D 2009; 23: 137–146.

12. Diao, J., Zhang, G., Hu, H., Zou, Z., Zhang, B. Design and application of electrical fire monitoring system in mining industry (2015) International Journal of Mining Science and Technology, 25 (2), art. no. 484, pp. 305-310. DOI: 10.1016/j.ijmst.2015.02.021

13. Driss Yousfi. Efficient Sensorless PMSM Drive for Electric Vehicle Traction Systems / Driss Yousfi, Elbacha Abdelhadi, Abdellah Ait Ouahman // Electric Vehicles – Modelling and Simulations / Dr. Seref Soylu (Ed.). – 2011. –

14. Erdem A. S. 2002, Modelleme yardımıyla kamaralı bilyalı değirmen tasarımı ve tane boyu dağılımlarının belirlenmesi, Hacettepe Üniversitesi Maden Mühendisliği Anabilim Dalı Yüksek Mühendislik Tezi, 2002.

15. Fawkes, S. Energy Efficiency. Farnham. Gower Publishing. 2013.

16. Gieras J.F., Piech Z.J. Linear Synchronous Motors. CRS Press. 2000.

17. Govender I and Powell MS. An empirical power model derived from 3D particle tracking experiments. Miner Eng 2006; 19: 1005–1012.

18. Govender I, McBride AT and Powell MS. Improved experimental tracking techniques for validating discrete element method simulations of tumbling mills. Exp Mech 2004; 44: 593– 607.

19. Govender I, Powell MS and Nurick GN. Automated imaging to track the 3D motion of particles. Exp Mech 2002; 42: 153–160.

20. Hu G, Otaki H and Watanuki K. Motion analysis of a tumbling ball mill based on nonlinear optimization. Miner Eng 2000; 13: 933–947

21. IEA (2015), World Energy Outlook 2015, OECD Publishing, Paris,

22. IEA (International Energy Agency) (2016a), “World energy balances”, IEA World

23. Energy Statistics and Balances (database), IEA/OECD Publishing, Paris,

24. Japan Guide for Energy Saving for Industrial Factory. The Energy Saving Center. 2003.

25. Mishra BK and Rajamai RK. Simulation of charge motion in ball mills. Part 2: numerical simulations. Int J Miner Process 1994; 40: 187–197.

26. Mishra BK. A review of computer simulation of tumbling mills by the discrete element method: part I—contact mechanics. Int J Miner Process 2003; 71: 73–93.

27. Morrell S. (1996), Power draw of wet tumbling mills and its relationship to charge dynamics, part 1: A continuum approach to mathematical modelling of mill power draw, Transcation of Institute of Mining and Metallurgy, Section C: Mineral Processing and Extractive Metallurgy, 105, January-April 1996, pp. 43-53.

28. Morrell S., Man Y. T. (1997), Using modelling and simulation for the design of full scale ball mill circuits, Minerals Engineering, 1997, Volume 10, No. 12, pp. 1311-1327.

29. Nakatani, F. Technologies for energy saving in industrial field (2008) IEEJ Transactions on Electrical and Electronic Engineering, 3 (2), pp. 190-198. DOI: 10.1002/tee.20255.

30. Napier-Munn T. J., Morrell S., Morrison R. D., Kojovic T., (1996), Mineral comminution circuits their operation and optimisation, Editor; Napier-Munn, T. J, pp. 1-413.

31. Oung, K. Energy Management in Business. Farnham. Gower Publishing. 2013. 31. Rajamani RK, Songfack P and Mishra BK. Impact energy spectra of tumbling mills. Powder Technol 2000; 108: 116–121.

32. Rezaeizadeh M, Fooladi M, Powell MS, et al. Experimental observations of lifter parameters and mill operation on power draw and liner impact loading. Miner Eng 2010; 23: 1182–1191.

33. Rhodes, A., Skea, J. & Hannon, M. 2014. The Global Surge in Energy Innovation. In Energies 2014, 7, pp. 5601-5623.

34. Sensorless PMSM Vector Control with a Sliding Mode Observer for Compressors Using MC56F8013 / Document Number: DRM099, Rev.:2-09/2008 // Freescale Semiconductor web site. – files/microcontrollers/doc/ref_manual/DRM099.

35. Study on Energy Efficiency and Energy Saving Potential in Industry from possible Policy Mechanisms. A report submitted by ICF Consulting Limited Date: 1 December 2015.(

36. ial%20EE%20study%20-%20final%20report_clean_stc.pdf – 1.12.2015).

37. Tchorzewski, J. Development of electric power system from the point of view of safety (2008) IEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings, art. no. 4736615, pp. 659-663. DOI: 10.1109/EEEI.2008.4736615

38. Thorpe, D. Earthscan Expert Guide to Energy Management in Buildings, Abingdon, Routledge. 2014.

39. Thumann. A., Paul Mehta, D. Handbook of Energy Engineering. Lilburn, GA. Fairmont. 2013.

40. Weber, L. Some reflections on barriers to the efficient use of energy. Energy Policy. 25(10). pp.833-935. 1997.

41. Zhang, J., Ma, H.-W. Online monitoring and protection system for the arc fault of the mining high-voltage switchgear (2013) Dianli Xitong Baohu yu Kongzhi/Power System Protection and Control, 41 (11), pp. 141-145.

42. Zou SY. Types of wear in mining equipment. Report, CITIC Heavy Industries Co., Ltd., Luoyang, China, August 2015.

43. Abramovich B.N., Babanova I.S. Sistema prognozirovanija jenergopotreblenija s primeneniem iskusstvennoj nejronnoj seti [System for forecasting energy consumption using the artificial neural network]. Mining science and technology. 2016;(2):66-77.

44. DOI:10.17073/2500-0632-2016-2-66-77.

45. Avilov-Karnauhov B.N., Zjubrovskij L.G. Metod opredelenija jekonomichnyh rezhimov potreblenija jelektrojenergii na rudoobogatitel'nyh fabrikah [Method for determination of economical modes of energy consumption in the ore-dressing plants] Industrial power. – 1979. – No. 5. – Pp. 3–4.

46. Belyh B.P., Sverdel' I.S., Olejnikov V.K. Jelektricheskie nagruzki i jelektropotreblenie na gornorudnyh predprijatijah. [The electrical load and power consumption at the mining enterprises.] – M.: Nedra, 1971. – 399 p.

47. Zakirov D.K., Kukushkin V.M. Jenergopotreblenie i jenergosberezhenie na predprijatijah zapadnogo Urala. [Energy consumption and energy saving at the enterprises of the Western Urals.] – Perm: Publishing house of the IPK "Zvezda", 1997. – 447 p.

48. Kirillov I.E., Morozov I.N. Podhod k sozdaniju adaptivnoj modeli tehnologicheskogo processa s cel'ju osushhestvlenija operativno-preduprezhdajushhego upravlenija. [The approach to the creation of adaptive model of the process for the implementation of operational and proactive management] Proceedings of the Kola Scientific Center, Russian Academy of Sciences. – 2014. –No. 5 (24). – Pp. 221-225.

49. Kuznecov N.M. Analiz jelektropotreblenija na gornyh i obogatitel'nyh predprijatijah «OAO Apatit». [Analysis of energy consumption in the mining and processing enterprise "Apatite OJSC"] Gornoe Mining Machinery and Electromechanics, 2007, No. 1, Pp. 44-47.

50. Kuznecov N.M., Avvakumov V.N. Prognozirovanie jelektropotreblenija pri proizvodstve apatitovogo koncentrata. [Prediction of electricity consumption in the production of apatite concentrate] Mining Journal, 1999, No. 9, pp.51-52.

51. Kuznecov N.M., Shhuckij V.I. Racional'noe jelektropotreblenie na gornodobyvajushhih i gorno-obogatitel'nyh predprijatijah.[Efficient power consumption in the mining and oredressing plants.] – Apatity, 1997. – 211 p.

52. Olejnikov V.K. Analiz i planirovanie jelektropotreblenija na gornyh predprijatijah. [Analysis and planning of electricity in mining enterprises] – M.: Nedra, 1983. – 192 p.

53. Terehov V.M., Osipov O.I. Sistemy upravlenija jelektroprivodov [Systems management drives] – M.: Akademija, 2005. – 300 p.

54. Fokin V.M. F75 Osnovy jenergosberezhenija i jenergoaudita. [Fundamentals of energy saving and energy audit.] – M.: "Publisher Engineering 1", 2006. – 256 p.

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For citation: Kuznetsov N.M., Morozov I.N. Modeling of power consumption of ball mill. Gornye nauki i tekhnologii = Mining Science and Technology (Russia). 2016;(4):50-61.

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