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Analysis of chromite processing plant data by first order autoregressive model

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Języki publikacji
EN
Abstrakty
EN
Many mineral processing data can be monitored by a time series model. This research presents results of analysis and simulations of a chromite processing plant data determined by time series model. The plant data obtained by shift to shift include feed grade, concentrate grade, tailing grade, Cr/Fe ratio in concentrate. All the chromite processing data were found stationary over time. The autocorrelation was high for feed grade and Cr/Fe ratio. Weaker autocorrelation was observed for concentrate grade and tailing grade. Autoregressive integrated moving average (ARIMA, 1,0,0) or first order autoregressive (AR, 1) model, was found to fit all data very well. The models obtained have been also shown to be used for the near future estimation of these data. The time constant which is an indicator of sampling frequency of the data sets were determined. It was found that sampling frequency was enough for concentrate and tailing grade and their original values can be used in process control charts for monitoring. On the other hand, the sampling frequency should be reduced for feeding grade and Cr/Fe ratio for the same aims hence ARIMA residual charts were more suitable to monitor their values.
Rocznik
Strony
157--174
Opis fizyczny
Bibliogr. 23 poz., wykr.
Twórcy
autor
  • Department of Mining Engineering, Division of Mineral Processing, Eskişehir Osmangazi University, 26480, Eskişehir, Turkey
Bibliografia
  • 1. BAZIN C., GIRARD B., HODOUIN D., 2000, Time Series Analysis: A Tool for Operators Training? Application to the Direct Reduction of Ilmenite Concentrate, Powder Technology, 108, 155–159.
  • 2. BHATTACHERJEE A., SAMANTA B., 2002, Practical Issues in the Consruction of Control Charts in Mining Applications, The Journal of The South African Institute of Mining and Metalllurgy, 173–180.
  • 3. CAPODAGLIO A.G., NOVOTNY V., FORTINE L., 1992, Modelling wastewater treatment plants through time series analysis, Environmetrics, 3(1), 99–120.
  • 4. CALLAO M.P., RIUS A., 2003, Time Series: A Complementary Technique to Control Charts for Moni-toring Analytical Systems, Chemometrics and Intelligent Laboratory Systems, 66, 79–87.
  • 5. CHENG B.H., WOODCOCK B., SARGENT D., GLEIT A., 1982, Time Series Analysis of Coal Data from Preparation Plant, Journal of Air Pollution Control Association, 32(11), 1137–1141.
  • 6. ELEVLİ S., UZGÖREN N., SAVAS M., 2009, Control Charts for Autocorrelated Colemanite Data, Journal of Scientific & Industrial Research, 68: 11–17.
  • 7. GLEIT A., 1985, SO2 Emissions and Time Series Models, Journal of Air Pollution Control Association, 35(2), 115–120.
  • 8. GANGULI R., TINGLING J.C., 2001, Algorithms to Control Coal Segregation Under Non–Stationary Conditions. Part II: Time Series Based Methods, International Journal of Mineral Processing, 61, 261–271.
  • 9. HUANG Z., MUMAR R., YINGLING J., SOTTILE J., 2002, Coal Segregation Control for Meeting Homogenity Standards, International Journal of Mineral Processing, (submitted manuscript, (http://home.engineering.iastate.edu/~rkumar/PUBS/coal2.pdf).
  • 10. KARAOĞLAN A.D., BAYHAN G.M., 2011, Performance Comparison of Residual Control Charts for Trend Stationary First Order Autoregressive Processes, Gazi University Journal of Science, 24(2):329–33.
  • 11. KAYA A., 1995, Outlier Analysis in Time Series Used for Statistical Process Control, MSc Thesis in Statistics of Ege University (in Turkish).
  • 12. KETATA C., ROCKWELL M.C., 2008, Stream Material Variables and Sampling Errors, Mineral Pro-cessing & Extractive Metall. Rev., 29, 104–117.
  • 13. KUTLAR A., ELEVLİ S., 1999, Estimation of World Copper Production with Linear Time Series, Madencilik, 38(4), 43–55 (in Turkish).
  • 14. MEYER D., NAPIER-MUNN T.J., 1999, Optimal Experiments for Time-Dependent Mineral Processes, Austral. & New Zeland J. Statist. 41(1), 3–17.
  • 15. MONTGOMERY D.C., JENNINGS C.L., KULAHÇI M., 2008, Introduction to Time Series Analysis and Forecasting, Wiley Series in Probability and Statistics.
  • 16. MONTGOMERY D.C., RUNGER G.C., 2011, Applied Statistics and Probability for Engineers, Fifth Edition, John Wiley&Sons, Inc.
  • 17. NAPIER-MUNN and MEYER D.H., 1999, A Modified Paired t-Test for the Analysis of Plant Trials with Data Autocorrelated in Time, Minerals Engineering, 12(9), 1093–1100.
  • 18. O’KEEFE K., SELBY W., SUTHERLAND D.N., 1981, An Analysis of the Dynamic Characteristics of Flotation Circuits by Time-Series Analysis, International Journal of Mineral Processing, 8(2), 147–163.
  • 19. RIUS A., CALLAO M.P., 2001, Application of Time Series Models to the Monitoring of a Sensor Array Analytical System, Trends in Analytical Chemistry, 20(4), 168–177.
  • 20. SAMANTA B., BHATTACHERJEE A., 2001, An Investigation of Quality Control Charts for Autocorre-lated Data, Mineral Resources Engineering, 10: 53–69.
  • 21. SAMANTA B., 2002, Multivariate Control Charts for Grade Control Using Principal-Component Anal-ysis and Time Series Modelling, Trans. Inst. Min. Metall. (Sect A: Min Technol), 307: 149–157.
  • 22. TAŞDEMİR A., 2012, Effect of Autocorrelation on the Process Control Charts in Monitoring of a Coal Washing Plant, Physicochemical Problems of Mineral Processing, 48(2), 495–512.
  • 23. TRYBALSKI K., CIEPLY J., 2000, ARMA Type Model for Copper Ore Flotation, Proceedings of the XXI International Mineral Processing Congress, C3(72–78).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4818a4aa-3e89-44f3-a679-72f1a3049766
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