Abstract
A mathematical mechanism model was proposed for the description and analysis of the heat-stirring-acid leaching process. The model is proved to be effective by experiment. Afterwards, the leaching problem was formulated as a constrained multi-objective optimization problem based on the mechanism model. A two-stage guide multi-objective particle swarm optimization (TSG-MOPSO) algorithm was proposed to solve this optimization problem, which can accelerate the convergence and guarantee the diversity of pareto-optimal front set as well. Computational experiment was conducted to compare the solution by the proposed algorithm with SIGMA-MOPSO by solving the model and with the manual solution in practice. The results indicate that the proposed algorithm shows better performance than SIGMA-MOPSO, and can improve the current manual solutions significantly. The improvements of production time and economic benefit compared with manual solutions are 10.5% and 7.3%, respectively.
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VEGLIO F, TRIFONI M, TORO L. Leaching of manganiferous ores by glucose in a sulfuric acid solution: Kinetic modeling and related statistical analysis [J]. American Chemical Society, 2001, 40(18): 3895–3901.
CRUNDWELL F K. Modeling, simulation, and optimization of bacterial leaching reactors [J]. Biotechnol Bioeng, 2000, 71(4): 255–265.
MA Z, EK C. Rate processes and mathematical modelling of the acid leaching of a manganese carbonate ore [J]. Hydrometallurgy, 1991, 27(2): 125–139.
CRUNDWELL F K. Progress in the mathematical modelling of leaching reactors [J]. Hydrometallurgy, 1995, 39(1/2/3): 321–335.
BREED A W, HANSFORD G S. Modeling continuous bioleach reactors [J]. Biotechnol Bioeng, 1999, 64(6): 671–677.
LEVENSPIEL O. Chemical reactions engineering [M]. New York: John Wiley and Sons, 1972: 33–35.
CHEUNG N, GARCIA A. The use of a heuristic search technique for the optimization of quality of steel billets produced by continuous casting [J]. Engineering Applications of Artificial Intelligence, 2001, 14(2): 229–238.
YANG Zhen-shan, SHAO Cheng, LI Gui-zhi. Multi-objective optimization for EGCS using improved PSO algorithm [C]// Proceedings of the 2007 American Control Conference. New York: American Control Conference, 2007: 5059–5063.
LOTOV A V, KAMENEV G K, BEREZKIN V E. Optimal control of cooling process in continuous casting of steel using a visualization-based multi-criteria approach [J]. Applied Mathmatical Modeling, 2005, 29(7): 653–672.
KENNEDY J, EBERHART R C. Swarm intelligence [M]. Morgan: Kaufmann, 2001: 76–77.
POLI R, KENNEDY J, BLACKWELL T. Particle swarm optimization an overview [J]. Swarm Intelligence, 2007, 1(1): 33–57.
SIERRA M R, COELLO COELLO C A. Multi-objective particle swarm optimizers: A survey of the state-of-the-art [J]. International Journal of Computational Intelligence Research, 2006, 2(3): 287–308.
MOSTAGHIM S, TEICH J. Strategies for finding good local guides in multi-objective particle swarm optimization (MOPSO) [C]// Proceedings of the 2003 IEEE Swarm Intelligence Symposium. Indianapolis: IEEE, 2003: 26–33.
COELLO C A, LECHUGA M S. Handling multiple objectives with particle swarm optimization [J]. IEEE Transactions on Evolutionary Computation, 2006, 8(3): 256–279.
ZHANG Shou-xiang, ZHENG Ya-jie. Study on leaching kinetics of pyrite cinder [J]. Chinese Journal of Chemical Engineering, 2006, 34(11): 36–39. (in Chinese)
TONG Zhi-fang, BI Shi-wen, LI Hui-li, YANG Yi-Hong. Leaching kinetics of calcium aluminate slag [J]. The Chinese Journal of Process Engineering, 2005, 5(4): 399–402. (in Chinese)
LI Hong-gui. Hydrometallurgy [M]. Changsha: Central South University Press, 1998: 42–56. (in Chinese)
PARKER R H. An introduction to chemical metallurgy [M]. Oxford: Pergamon Press Ltd, 1978: 109–112.
MOORE J J. Chemical metallurgy [M]. London: Butterworths Press, 1981: 61–65.
KENNEDY J. The behavior of particles [M]. Heidelberg: Springer Berlin Press, 1998: 213–214.
DEB K, PRATAP A, AGARWAL S, MEYARIVAN T. A fast and elitist multiobjective genetic algorithm: NSGA-II [J]. IEEE Transactions on Evolutionary Computation, 2002, 6(2): 182–197.
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Foundation item: Project(2006AA060201) supported by the National High Technology Research and Development Program of China
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Hu, Gh., Mao, Zz. & He, Dk. Multi-objective optimization for leaching process using improved two-stage guide PSO algorithm. J. Cent. South Univ. Technol. 18, 1200–1210 (2011). https://doi.org/10.1007/s11771-011-0823-2
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DOI: https://doi.org/10.1007/s11771-011-0823-2