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A synthesis/design optimization algorithm for Rankine cycle based energy systems

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  • Toffolo, Andrea

Abstract

The algorithm presented in this work has been developed to search for the optimal topology and design parameters of a set of Rankine cycles forming an energy system that absorbs/releases heat at different temperature levels and converts part of the absorbed heat into electricity. This algorithm can deal with several applications in the field of energy engineering: e.g., steam cycles or bottoming cycles in combined/cogenerative plants, steam networks, low temperature organic Rankine cycles. The main purpose of this algorithm is to overcome the limitations of the search space introduced by the traditional mixed-integer programming techniques, which assume that possible solutions are derived from a single superstructure embedding them all. The algorithm presented in this work is a hybrid evolutionary/traditional optimization algorithm organized in two levels. A complex original codification of the topology and the intensive design parameters of the system is managed by the upper level evolutionary algorithm according to the criteria set by the HEATSEP method, which are used for the first time to automatically synthesize a “basic” system configuration from a set of elementary thermodynamic cycles. The lower SQP (sequential quadratic programming) algorithm optimizes the objective function(s) with respect to cycle mass flow rates only, taking into account the heat transfer feasibility constraint within the undefined heat transfer section. A challenging example of application is also presented to show the capabilities of the algorithm.

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  • Toffolo, Andrea, 2014. "A synthesis/design optimization algorithm for Rankine cycle based energy systems," Energy, Elsevier, vol. 66(C), pages 115-127.
    • Handle: RePEc:eee:energy:v:66:y:2014:i:c:p:115-127
    DOI: 10.1016/j.energy.2014.01.070
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    Cited by:

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    2. Li, Xiaoya & Xu, Bin & Tian, Hua & Shu, Gequn, 2021. "Towards a novel holistic design of organic Rankine cycle (ORC) systems operating under heat source fluctuations and intermittency," Renewable and Sustainable Energy Reviews, Elsevier, vol. 147(C).
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    4. Kosuke Seki & Keisuke Takeshita & Yoshiharu Amano, 2019. "Development of Complex Energy Systems with Absorption Technology by Combining Elementary Processes," Energies, MDPI, vol. 12(3), pages 1-20, February.
    5. Lazzaretto, Andrea & Manente, Giovanni & Toffolo, Andrea, 2018. "SYNTHSEP: A general methodology for the synthesis of energy system configurations beyond superstructures," Energy, Elsevier, vol. 147(C), pages 924-949.
    6. Battisti, Felipe G. & Cardemil, José M. & Miller, Francisco M. & da Silva, Alexandre K., 2015. "Normalized performance optimization of supercritical, CO2-based power cycles," Energy, Elsevier, vol. 82(C), pages 108-118.
    7. Ito, Wataru & Takeshita, Keisuke & Amano, Yoshiharu, 2021. "Demonstration of the revised procedure to explore configurations for an arbitrary absorption cycle based on the cycle simplicity index," Energy, Elsevier, vol. 235(C).
    8. Ligang Wang & Zhiping Yang & Shivom Sharma & Alberto Mian & Tzu-En Lin & George Tsatsaronis & François Maréchal & Yongping Yang, 2018. "A Review of Evaluation, Optimization and Synthesis of Energy Systems: Methodology and Application to Thermal Power Plants," Energies, MDPI, vol. 12(1), pages 1-53, December.
    9. Giovanni Manente & Mário Costa, 2020. "On the Conceptual Design of Novel Supercritical CO 2 Power Cycles for Waste Heat Recovery," Energies, MDPI, vol. 13(2), pages 1-31, January.
    10. Frangopoulos, Christos A., 2018. "Recent developments and trends in optimization of energy systems," Energy, Elsevier, vol. 164(C), pages 1011-1020.
    11. Tanaka, Yasuto & Mesfun, Sennai & Umeki, Kentaro & Toffolo, Andrea & Tamaura, Yutaka & Yoshikawa, Kunio, 2015. "Thermodynamic performance of a hybrid power generation system using biomass gasification and concentrated solar thermal processes," Applied Energy, Elsevier, vol. 160(C), pages 664-672.
    12. Wang, Ligang & Voll, Philip & Lampe, Matthias & Yang, Yongping & Bardow, André, 2015. "Superstructure-free synthesis and optimization of thermal power plants," Energy, Elsevier, vol. 91(C), pages 700-711.
    13. Kermani, Maziar & Wallerand, Anna S. & Kantor, Ivan D. & Maréchal, François, 2018. "Generic superstructure synthesis of organic Rankine cycles for waste heat recovery in industrial processes," Applied Energy, Elsevier, vol. 212(C), pages 1203-1225.
    14. Zhao, Dongpeng & Deng, Shuai & Zhao, Li & Xu, Weicong & Zhao, Ruikai & Wang, Wei, 2020. "From 1 to N: A computer-aided case study of thermodynamic cycle construction based on thermodynamic process combination," Energy, Elsevier, vol. 210(C).
    15. Shen, Feifei & Zhao, Liang & Du, Wenli & Zhong, Weimin & Qian, Feng, 2020. "Large-scale industrial energy systems optimization under uncertainty: A data-driven robust optimization approach," Applied Energy, Elsevier, vol. 259(C).
    16. Liu, Yanfeng & Tang, Huanlong & Chen, Yaowen & Wang, Dengjia & Song, Cong, 2022. "Optimization of layout and diameter for distributed solar heating network with multi-source and multi-sink," Energy, Elsevier, vol. 258(C).
    17. Wang, Ligang & Lampe, Matthias & Voll, Philip & Yang, Yongping & Bardow, André, 2016. "Multi-objective superstructure-free synthesis and optimization of thermal power plants," Energy, Elsevier, vol. 116(P1), pages 1104-1116.
    18. Patrick Linke & Athanasios I. Papadopoulos & Panos Seferlis, 2015. "Systematic Methods for Working Fluid Selection and the Design, Integration and Control of Organic Rankine Cycles—A Review," Energies, MDPI, vol. 8(6), pages 1-47, May.
    19. Sakalis, George N. & Frangopoulos, Christos A., 2018. "Intertemporal optimization of synthesis, design and operation of integrated energy systems of ships: General method and application on a system with Diesel main engines," Applied Energy, Elsevier, vol. 226(C), pages 991-1008.
    20. Lin, Shan & Zhao, Li & Deng, Shuai & Zhao, Dongpeng & Wang, Wei & Chen, Mengchao, 2020. "Intelligent collaborative attainment of structure configuration and fluid selection for the Organic Rankine cycle," Applied Energy, Elsevier, vol. 264(C).

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