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Simultaneous optimization of flotation column performance using genetic evolutionary algorithm

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Column flotation is a multivariable process. Its optimization guarantees the metallurgical yield of the process, expressed by the grade and recovery of the concentrate. The present work aimed at applying genetic algorithms (GAs) to optimize a pilot column flotation process which is characterized by being difficult to be optimized via conventional methods. A non-linear mathematical model was used to describe the dynamic behavior of the multivariable process. The solution of the optimization problem using conventional algorithms does not always lead to convergence because of the high dimensionality and non-linearity of the model. In order to deal with this process, the use of a genetic evolutionary algorithm is justified. In this way, GA was coupled with the multivariate non-linear regression (MNLR) of the column flotation metallurgical performance as a fitting function in order to optimize the column flotation process. Then, this kind of intelligent approach was verified by using mineral processing approaches such as Halbich’s upgrading curve. The aim of the optimization through GAs was searching for the process inputs that maximize the productivity of copper in the Sarcheshmeh pilot plant. In this case, the simulation optimization problem was defined as finding the best values for the froth height, chemical reagent dosage, wash water, air flow rate, air holdup, and Cu grade in rougher and column feed streams. The results indicated that GA was a robust and powerful search method to find the best values of the flotation column model parameters that lead to more reliable simulation predictions at a reasonable time. Based on the grade–recovery Halbich upgrading curve, the MNLR model coupled with GA can be used for determination of the flotation optimum conditions.
Rocznik
Strony
874--893
Opis fizyczny
Bibliogr. 31 poz., rys., tab.
Twórcy
autor
  • Department of Mining & Metallurgical Engineering, Amirkabir University of Technology, Tehran, Iran
autor
  • Department of Mining & Metallurgical Engineering, Amirkabir University of Technology, Tehran, Iran
  • Young Researchers and Elite Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran
Bibliografia
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  • CHANG H., HOU W., 2006, Optimization of membrane gas separation systems using genetic algorithm, Chemical Engineering Science, 61, 5355 – 5368.
  • CHEN S.M, CHIEN C.Y., 2011, Solving the traveling salesman problem based on the genetic simulated annealing ant colony system with particle swarm optimization techniques, Expert Systems with Applications, 38, 14439–14450.
  • CHEN S.M., CHIEN C.Y., 2011, Parallelized genetic ant colony systems for solving the traveling salesman problem, Expert Systems with Applications, 38, 3873–3883.
  • COSTA C.B.B., WOLF MACIEL, M.R., MACIEL FILHO R., 2005, Factorial design technique applied to genetic algorithm parameters in a batch cooling crystallization optimisation, Computers and Chemical Engineering , 29, 2229–2241.
  • DEB K., 1995, Optimization for engineering design: algorithms and examples, Prentice Hall, New Dehli, India.
  • DRZYMALA J., 2006, Atlas of upgrading curves used in separation and mineral science and technology Part I, Physico-chemical Problems in Mineral Processing, 40, 19–29.
  • DRZYMALA J., 2007, Atlas of upgrading curves used in separation and mineral science and technology Part II, Physico-chemical Problems in Mineral Processing, 41, 27–35.
  • DRZYMALA J., KOWALCZUK P.B., FOSZCZ D., MUSZER A., HENC T., LUSZCZKIEWICZ A., 2012, Analysis of separation results by means of the grade-recovery Halbich upgrading curve, XXVI International Mineral Processing Congress, September 20–24.
  • GHOBADI P., YAHYAEI M., BANISI S., 2011, Optimization of the performance of flotation circuits using a genetic algorithm oriented by process-based rules, International Journal of Mineral Processing, 98, 174–181.
  • GOLDBERG D.E., 1989, Genetic algorithms in search, optimization and machine learning, Boston, MA: Addison-Wesley.
  • GUPTA V., MOHANTY M., MAHAJAN A., BISWAL S.K., 2007, Genetic algorithms – a novel technique to optimize coal preparation plants, International Journal of Mineral Processing, 84, 133–143.
  • GURIA C., VERMA M., GUPTA S.K., MEHROTRA S.P., 2005, Simultaneous optimization of the performance of flotation circuits and their simplification using the jumping gene adaptations of genetic algorithm-I, International Journal of Mineral Processing, 77, 165–185.
  • GURIA C., VERMA MEHROTRA S.P., M., GUPTA S.K., 2006, Simultaneous optimization of the performance of flotation circuits and their simplification using the jumping gene adaptations of genetic algorithm-II: More complex problems, International Journal of Mineral Processing, 79, 149–166.
  • HASANZADEH V., FARZANEGAN A., 2011, Robust HPGR model calibration using genetic algorithms, Minerals Engineering, 24, 424–432.
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  • KARR C.L., 1993, Strategy for adaptive process control for a column flotation unit, Proceedings of the Fifth Workshop on Neural Networks, SPIE, 2204, pp. 95–100.
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  • KARR C.L., WECK B., NISHITA K., 1997, A Comparison of fuzzy and neural network modeling for separation equipment, Fluid/Part.Sep. J., 10(3), 81–95.
  • MENDEZ D.A., GALVEZ E.D., CISTERNAS L.A., 2009, State of the art in the conceptual design of flotation circuits, International Journal of Mineral Processing, 90, 1–15.
  • NAKHAEI F., MOSAVI M.R., SAM Y., VAGHEI., 2012, Recovery and grade accurate prediction of pilot plant flotation column concentrate: neural network and statistical techniques, International Journal of Mineral Processing, 110–111, 140– 154.
  • REZENDE C.A.F., COSTA C.B.B., COSTA A.C., MACIEL M.R.W., MACIEL R.F., 2008, Optimization of a large scale industrial reactor by genetic algorithms, Chemical Engineering Science, 63, 330–341.
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  • SVEDENSTEN P., EVERTSSON C.M., 2005, Crushing plant optimization by means of a genetic evolutionary algorithm, Minerals Engineering, 18(5), 473–479.
  • VENTER J.J., BEARMAN R.A., EVERSON R.C., 1997, A novel approach to circuit synthesis in mineral processing, Minerals Engineering, 10 (3), 287–299.
  • VICTORINO I.R.S., MAIA J.P., MORAIS E.R., WOLF MACIEL M.R., MACIEL FILHO R., 2007, Optimization for large scale process based on evolutionary algorithms: Genetic algorithms, Chemical Engineering Journal, 132, 1–8.
  • VIEIRA S.M., SOUSA J.M.C., DURAO F.O., 2005, Fuzzy modelling strategies applied to a column flotation process, Minerals Engineering, 18, 725–729.
  • WANG Y.Z., 2005, A GA-based methodology to determine an optimal curriculum for schools, Expert Systems with Applications, 28, 163–174.
  • WHILE L., BARONE L., HINGSTON P., HUBAND S., TUPPURAINEN D., BEARMAN R., 2004, A multi-objective evolutionary algorithm approach for crusher optimization and flow sheet design, Minerals Engineering, 17, 1063–1074.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0917c30d-8786-45c7-b247-0be0068feb25
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