Grinding in Ball Mills: Modeling and Process Control

Monov, Vladimir; Sokolov, Blagoy; Stoenchev, Stefan

doi:10.2478/cait-2012-0012

Abstract

The paper presents an overview of the current methodology and practice in modeling and control of the grinding process in industrial ball mills. Basic kinetic and energy models of the grinding process are described and the most commonly used control strategies are analyzed and discussed.

References

1. Ajaal, T., R. W. Smith, W. T. Yen. The Development and Characterization of a Ball Mill for Mechanical Alloying. - Canadian Metallurgical Quarterly, Vol. 41, 2002, No 1, 7-14.10.1179/cmq.2002.41.1.7
Search in Google Scholar
2. Bauer, M., I. K. Craig. Economic Assessment of Advanced Process Control - A Survey and Framework. - Journal of Process Control, Vol. 18, 2008, 2-18.10.1016/j.jprocont.2007.05.007
Search in Google Scholar
3. Berthiaux, H., C. Varinot, J. Dodds. Approximate Calculation of Breakage Parameters from Batch Grinding Tests. - Chemical Engineering Science, Vol. 51, 1996, No 19, 4509-4516.10.1016/0009-2509(96)00275-8
Search in Google Scholar
4. Bond, F. C. Crushing and Grinding Calculations. Part I. - British Chemical Engineering, Vol. 6, 1961, No 6, 378-385.
Search in Google Scholar
5. Bond, F. C. Crushing and Grinding Calculations. Part II. - British Chemical Engineering, Vol. 6, 1961, No 8, 543-548.
Search in Google Scholar
6. Bristol, E. G. On a New Measure of Interaction for Multivariable Process Control. - IEEE Trans. Auto. Control, AC-11, Vol. 1, 1966, 133-134.10.1109/TAC.1966.1098266
Search in Google Scholar
7. Capece, M., E. Bilgili, R. Dave. Identification of the Breakage Rate and Distribution Parameters in a Non-Linear Population Balance Model for Batch Milling. - Powder Technology, Vol. 208, 2011, 195-204.10.1016/j.powtec.2010.12.019
Search in Google Scholar
8. Chen, X. S., Q. Li, S. M. Fei. Constrained Model Predictive Control in Ball Mill Grinding Process. - Powder Technology, Vol. 186, 2008, 31-39.10.1016/j.powtec.2007.10.026
Search in Google Scholar
9. Chen, X. S., S. H. Li, J. Y. Zhai, Q. Li. Expert System Based Adaptive Dynamic Matrix Control for Ball Mill Grinding Circuit. - Expert Systems with Applications, Vol. 36, 2009, 716-723.10.1016/j.eswa.2007.10.008
Search in Google Scholar
10. Chen, X. S., J. Y. Zhai, S. H. Li, Q. Li. Application of Model Predictive Control in Ball Mill Grinding Circuit. - Minerals Engineering, Vol. 20, 2007, 1099-1108.10.1016/j.mineng.2007.04.007
Search in Google Scholar
11. Chen, X. S., Q. Li, S. M. Fei. Supervisory Expert Control for Ball Mill Grinding Circuits. - Expert Systems with Applications, Vol. 34, 2008, 1877-1885.10.1016/j.eswa.2007.02.013
Search in Google Scholar
12. Chen, X. S., J. Yang, S. H. Li, Q. Li. Disturbance Observer Based Multi-Variable Control of Ball Mill Grinding Circuits. - Journal of Process Control, Vol. 19, 2009, 1205-1213.10.1016/j.jprocont.2009.02.004
Search in Google Scholar
13. Conradie, A. E., C. Aldrich. Neurocontrol of a Ball Mill Grinding Circuit Using Evolutionary Reinforcement Learning. - Minerals Engineering, Vol. 14, 2001, Issue 10, 1277-1294.10.1016/S0892-6875(01)00144-3
Search in Google Scholar
14. Darby, M. L., M. Nikolaou. MPC: Current Practice and Challenges. - Control Engineering Practice, Vol. 20, 2012, 328-342.10.1016/j.conengprac.2011.12.004
Search in Google Scholar
15. Deniz, V. A Study on the Specific Rate of Breakage of Cement Materials in a Laboratory Ball Mill. - Cement and Concrete Research, Vol. 33, 2003, 439-445.10.1016/S0008-8846(02)00976-6
Search in Google Scholar
16. Ding, B. C. Modern Predictive Control. Taylor and Francis Group, 2010.
Search in Google Scholar
17. DOERING International GmbH. http://www.doering-sinn.de/en/grinding-media.html
Search in Google Scholar
18. Erdem, A. S., S. L. Ergun. The Effect of Ball Size on Breakage Rate Parameter in a Pilot Scale Ball Mill. - Minerals Engineering, Vol. 22, 2009, 660-664.10.1016/j.mineng.2009.01.015
Search in Google Scholar
19. Fuerstenau, D. W., A. Z. M. Abouzeid. The Energy Efficiency of Ball Milling in Comminution. - Int. Journal Miner. Process., Vol. 67, 2002, 161-185.10.1016/S0301-7516(02)00039-X
Search in Google Scholar
20. Fuerstenau, D. W., A. De, P. C. Kapur. Linear and Nonlinear Particle Breakage Processes in Comminution Systems. - Int. Journal Miner. Process, Vol. 74S, 2004, 317-327.10.1016/j.minpro.2004.07.005
Search in Google Scholar
21. Fuerstenau, D. W., P. C. Kapur, A. De. Modelling Breakage Kinetics in Various Dry Comminution Systems. - KONA Powder and Particle Journal, Vol. 21, 2003, 121-132.10.14356/kona.2003015
Search in Google Scholar
22. Fuerstenau, D. W., J. J. Lutch, A. De. The Effect of Ball Size on the Energy Efficiency of Hybrid High-Pressure Roll Mill/Ball Mill Grinding. - Powder Technology, Vol. 105, 1999, 199-204.10.1016/S0032-5910(99)00138-2
Search in Google Scholar
23. Gupta, A., D. Ya n. Mineral Processing Design and Operations: An Introduction. Elsevier, May 2006. 718 p.
Search in Google Scholar
24. Hauksdóttir, A. S., M. Ierapetritou, S. L. J. Jounela, U. Zühlke. A Decoupling Grinding Circuit Control System. - In: 15th IFAC Triennial World Congress, Barcelona, Spain, 2002.10.3182/20020721-6-ES-1901.01159
Search in Google Scholar
25. Hennart, S. L. A., W. J. Wildeboer, P. van Hee, G. M. H. Meesters. Identification of the Grinding Mechanisms and Their Origin in a Stirred Ball Mill Using Population Balances. - Chemical Engineering Science, Vol. 64, 2009, 4123-4130.10.1016/j.ces.2009.06.031
Search in Google Scholar
26. Hodouin, D. Methods for Automatic Control, Observation, and Optimization in Mineral Processing Plants. - Journal of Process Control, Vol. 21, 2011, 211-225.10.1016/j.jprocont.2010.10.016
Search in Google Scholar
27. Hodouin, D., S-L. Jamsa-Jounela, M. T. Carvalho, L. Bergh. State of the Art and Challenges in Mineral Processing Control. - Control Engineering Practice, Vol. 9, 2001, 995-1005.10.1016/S0967-0661(01)00088-0
Search in Google Scholar
28. Kotake, N., K. Daibo, T. Yamamoto, Y. Kanda. Experimental Investigation on a Grinding Rate Constant of Solid Materials by a Ball Mill - Effect of Ball Diameter and Feed Size. - Powder Technology, Vol. 143/144, 2004, 196-203.10.1016/j.powtec.2004.04.014
Search in Google Scholar
29. Kotake , N., M. Kuboki, S. Kiya, Y. Kanda. Influence of Dry and Wet Grinding Conditions on Fineness and Shape of Particle Size Distribution of Product in a Ball Mill. - Advanced Powder Technology, 2010, doi:10.1016/j.apt.2010.03.015.10.1016/j.apt.2010.03.015
Search in Google Scholar
30. Kuzev, L., T. Penchev, D. Karastoyanov. New Shape Milling Bodies for Ball Mills. - Problems of Engineering Cybernetics and Robotics, Vol. 61, 2009, 11-19.
Search in Google Scholar
31. Mishra, B. K., C. Thornton. An Improved Contact Model for Ball Mill Simulation by the Discrete Element Method. - Advanced Powder Technology, Vol. 13, 2002, No 1, 25-41.10.1163/15685520252900938
Search in Google Scholar
32. Mishra, B. K. A Review of Computer Simulation of Tumbling Mills by the Discrete Element Method. Part II - Practical Applications. - Int. Journal Miner. Process., Vol. 71, 2003, 95-112.10.1016/S0301-7516(03)00031-0
Search in Google Scholar
33. Muller, B., P. L. de Vaal. Development of a Model Predictive Controller for a Milling Circuit. - Journal of the South African Institute of Mining and Metallurgy, Vol. 100, 2000, No 7, 449-453.
Search in Google Scholar
34. Najim, K., D. Hodouin, A. Desbiens. Adaptive Control: State of the Art and an Application to Grinding Process. - Powder Technology, Vol. 82, 1995, 59-68.10.1016/0032-5910(94)02904-3
Search in Google Scholar
35. Pomerleau, A., D. Hodouin, A. Desbiensa, E. Gagnon. A Survey of Grinding Circuit Control Methods: From Decentralized PID Controllers to Multivariable Predictive Controllers. - Powder Technology, Vol. 108, 2000, 103-115.10.1016/S0032-5910(99)00207-7
Search in Google Scholar
36. Powell, M. S., I. Smit, P. Radziszewski, P. Cleary, B. Rattray, K. Eriksson, L. Schaeffer. The Selection and Design of Mill Liners. - In: Advances in Comminution. S. K. Kawatra, Ed. ISBN-13:978-0-87335-246-8, Society for Mining, Metallurgy, and Exploration, Inc., Colorado, USA, 2006, 331-376.
Search in Google Scholar
37. Qin, S. J., T. A. Badgwell. A Survey of Industrial Model Predictive Control Technology. - Control Engineering Practice, Vol. 11, 2003, 733-764.10.1016/S0967-0661(02)00186-7
Search in Google Scholar
38. Rajamani, R. K., B. K. Mishra, R. Venugopal, A. Datta. Discrete Element Analysis of Tumbling Mills. - Powder Technology, Vol. 109, 2000, 105-112.10.1016/S0032-5910(99)00230-2
Search in Google Scholar
39. Ramasamy, M., S. S. Narayananb, C. D. P. Rao. Control of Ball Mill Grinding Circuit Using Model Predictive Control Scheme. - Journal of Process Control, Vol. 15, 2005, 273-283.10.1016/j.jprocont.2004.06.006
Search in Google Scholar
40. Remes, A., J. Aaltonen, H. Koivo. Grinding Circuit Modeling and Simulation of Particle Size Control at Siilinjärvi Concentrator. - International Journal of Mineral Processing, Vol. 96, 2010, 70-78.10.1016/j.minpro.2010.05.001
Search in Google Scholar
41. Remes, A., J. Karesvuori, H. Pekkarinen, S-L. Jämsä-Jounela. Integrated Approach to Monitoring and Control of Mineral Grinding Processes. - In: 1st IFAC Workshop on Applications of Large Scale Industrial Systems, Finland, 2006.10.3182/20060830-2-SF-4903.00022
Search in Google Scholar
42. Shi, F. Comparison of Grinding Media - Cylpebs Versus Balls. - Minerals Engineering, Vol. 17, 2004, 1259-1268.10.1016/S0892-6875(04)00188-8
Search in Google Scholar
43. Smith, G. C., L. Jordaan, A. Singh, V. Vandayar, V. C. Smith, B. Muller, D. G. Hulbert. Innovative Process Control Technology for Milling and Flotation Circuit Operations. - Journal of the South African Institute of Mining and Metallurgy, May 2004, 353-365.
Search in Google Scholar
44. Tavares, L. M., R. M. D. Carvalho. Modeling Breakage Rates of Coarse Particles in Ball Mills. - Minerals Engineering, Vol. 22, 2009, 650-659.10.1016/j.mineng.2009.03.015
Search in Google Scholar
45. Toneva, P., W. Peukert. Modelling of Mills and Milling Circuits. - Handbook of Powder Technology. Vol. 12. 2007, 874-911. Particle Breakage. A. Salman, M. Ghadiri, M. Hounslow, Eds. Elsevier, 2007. 1240 p.10.1016/S0167-3785(07)12023-6
Search in Google Scholar
46. Varinot, C., S. Hiltgun, M. N. Pons, J. Dodds. Identification of the Fragmentation Mechanisms in Wet-Phase Fine Grinding in a Stirred Bead Mill. - Chemical Engineering Science, Vol. 52, 1997, No 20, 3605-3612.10.1016/S0009-2509(97)89693-5
Search in Google Scholar
47. Wei, D., I. K. Craig. Economic Performance Assessment of Two ROM Ore Milling Circuit Controllers. - Minerals Engineering, Vol. 22, 2009, 826-839.10.1016/j.mineng.2009.02.013
Search in Google Scholar
48. Wei, D., I. K. Craig. Grinding Mill Circuits - A Survey of Control and Economic Concerns. - In: Proceedings of the 17th World Congress of the International Federation of Automatic Control, Seoul, Korea, 6-11 July 2008, 1000-1005.10.3182/20080706-5-KR-1001.00171
Search in Google Scholar
49. Wills, B. A., T. J. Napier-Munn. Mineral Processing Technology. Elsevier Science & Technology Books. 7th Edition. 2006. 450 p.
Search in Google Scholar
50. Yang, J., S. Li, C. Xi-Song, Q. Li. Disturbance Rejection of Ball Mill Grinding Circuits Using DOB and MPC. - Powder Technology, Vol. 198, 2010, 219-228.10.1016/j.powtec.2009.11.010
Search in Google Scholar
51. Zoz, H., R. Reichardt, J. S. Kim. Application and Design of Drum Mills, PM²TEC’2002. - In: Proceedings of the World Congress on Powder Metallurgy & Particulate Materials, 16-21 June 2002, Orlando, FL, USA.
Search in Google Scholar

Grinding in Ball Mills: Modeling and Process Control

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