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Optimization of Energy and Resource Efficiency in a Multistage Drying Process of Phosphate Pellets

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  • Valery Meshalkin

    (Department of Logistics and Economic Informatics, Mendeleev University of Chemical Technology, 125047 Moscow, Russia
    Department of Petrochemical Engineering, Ufa State Petroleum Technological University, 450000 Ufa, Russia)

  • Vladimir Bobkov

    (Department of Mathematics, The Smolensk Branch of the Moscow Power Engineering University, 214013 Smolensk, Russia)

  • Maksim Dli

    (Department of Mathematics, The Smolensk Branch of the Moscow Power Engineering University, 214013 Smolensk, Russia)

  • Vincenzo Dovì

    (Interuniversity Centre HTR, 00100 Rome, Italy)

Abstract

The roasting of phosphate pellets is an energy-intensive process the optimization of which can give rise to considerable efficiency improvements. To this purpose, the mathematical modeling and the computer-aided simulation of a multi-stage process of phosphate pellets roasting have been developed. This process includes drying, dissociation reaction of carbonates and a sintering process in a moving, dense, multilayer mass of phosphate pellets in a special horizontal grate apparatus. A theoretical model for the physical-chemical processes of a mass of phosphate pellets moving in a multistage process and subject to external operation variables (i.e., temperatures and flowrates of the drying gas at different positions of the conveyor length) has been developed. By letting these control variables vary over suitable ranges limited by technical constraints, it is possible to construct an algorithm that minimizes the overall energy consumption subject to the attainment of the required quality indicators of the pellets. Therefore, the set of constraints includes bounds on both the operational variables and quality indicators of the final product. A dynamic programming algorithm subject to suitable penalty functions for avoiding constraints violation has been used. The results obtained show that the scientifically based operation described in this paper achieves the goal of attaining considerable energy savings while assuring the quality of the finished pellets. Furthermore, the results highlight the convenience of extending the general strategy developed in this article to other chemical energy engineering processes.

Suggested Citation

  • Valery Meshalkin & Vladimir Bobkov & Maksim Dli & Vincenzo Dovì, 2019. "Optimization of Energy and Resource Efficiency in a Multistage Drying Process of Phosphate Pellets," Energies, MDPI, vol. 12(17), pages 1-17, September.
  • Handle: RePEc:gam:jeners:v:12:y:2019:i:17:p:3376-:d:263134
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    References listed on IDEAS

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    1. Suresh P. Sethi, 2021. "Optimal Control Theory," Springer Texts in Business and Economics, Springer, edition 4, number 978-3-030-91745-6, June.
    2. Aichmayer, Lukas & Garrido, Jorge & Wang, Wujun & Laumert, Björn, 2018. "Experimental evaluation of a novel solar receiver for a micro gas-turbine based solar dish system in the KTH high-flux solar simulator," Energy, Elsevier, vol. 159(C), pages 184-195.
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    Cited by:

    1. Ming Yan & Xinnan Song & Jin Tian & Xuebin Lv & Ze Zhang & Xiaoyan Yu & Shuting Zhang, 2020. "Construction of a New Type of Coal Moisture Control Device Based on the Characteristic of Indirect Drying Process of Coking Coal," Energies, MDPI, vol. 13(16), pages 1-20, August.
    2. Maksim Dli & Andrei Puchkov & Valery Meshalkin & Ildar Abdeev & Rail Saitov & Rinat Abdeev, 2020. "Energy and Resource Efficiency in Apatite-Nepheline Ore Waste Processing Using the Digital Twin Approach," Energies, MDPI, vol. 13(21), pages 1-13, November.
    3. Paweł Tomtas & Amadeusz Skwiot & Elżbieta Sobiecka & Andrzej Obraniak & Katarzyna Ławińska & Tomasz P. Olejnik, 2021. "Bench Tests and CFD Simulations of Liquid–Gas Phase Separation Modeling with Simultaneous Liquid Transport and Mechanical Foam Destruction," Energies, MDPI, vol. 14(6), pages 1-14, March.

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