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Mathematical modeling of the geometrical sizing and thermal performance of a Dish/Stirling system for power generation

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  • Mendoza Castellanos, Luis Sebastian
  • Carrillo Caballero, Gaylord Enrique
  • Melian Cobas, Vladimir Rafael
  • Silva Lora, Electo Eduardo
  • Martinez Reyes, Arnaldo Martin

Abstract

This paper proposes a mathematical model for a solar Dish/Stirling system. Firstly, it is presented a methodology to calculate the appropriate angles and characterize the solar tracking control system for the city of Itajubá-MG/Brazil, in order to maximize the heat flow on the cavity of the receiver. Secondly, it was developed an algorithm for sizing and to determine the effects of opto-geometric parameters on the overall efficiency of the Dish/Stirling system. The model allows defining different configurations and geometric distances between the concentrator and the receiver, in order to obtain the desired heat in the receiver cavity. Finally, it is carried out a thermal balance for the evaluation of the maximum efficiency and overall efficiency of the system.

Suggested Citation

  • Mendoza Castellanos, Luis Sebastian & Carrillo Caballero, Gaylord Enrique & Melian Cobas, Vladimir Rafael & Silva Lora, Electo Eduardo & Martinez Reyes, Arnaldo Martin, 2017. "Mathematical modeling of the geometrical sizing and thermal performance of a Dish/Stirling system for power generation," Renewable Energy, Elsevier, vol. 107(C), pages 23-35.
  • Handle: RePEc:eee:renene:v:107:y:2017:i:c:p:23-35
    DOI: 10.1016/j.renene.2017.01.020
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    References listed on IDEAS

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    1. Beltrán-Chacon, Ricardo & Leal-Chavez, Daniel & Sauceda, D. & Pellegrini-Cervantes, Manuel & Borunda, Mónica, 2015. "Design and analysis of a dead volume control for a solar Stirling engine with induction generator," Energy, Elsevier, vol. 93(P2), pages 2593-2603.
    2. Wu, Shuang-Ying & Xiao, Lan & Cao, Yiding & Li, You-Rong, 2010. "A parabolic dish/AMTEC solar thermal power system and its performance evaluation," Applied Energy, Elsevier, vol. 87(2), pages 452-462, February.
    3. Sproul, Alistair B., 2007. "Derivation of the solar geometric relationships using vector analysis," Renewable Energy, Elsevier, vol. 32(7), pages 1187-1205.
    4. Kongtragool, Bancha & Wongwises, Somchai, 2005. "Optimum absorber temperature of a once-reflecting full conical concentrator of a low temperature differential Stirling engine," Renewable Energy, Elsevier, vol. 30(11), pages 1671-1687.
    5. Ruelas, José & Velázquez, Nicolás & Cerezo, Jesús, 2013. "A mathematical model to develop a Scheffler-type solar concentrator coupled with a Stirling engine," Applied Energy, Elsevier, vol. 101(C), pages 253-260.
    6. Kandilli, C. & Ulgen, K., 2009. "Review and modelling the systems of transmission concentrated solar energy via optical fibres," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(1), pages 67-84, January.
    7. Bakos, G.C. & Antoniades, Ch., 2013. "Techno-economic appraisal of a dish/stirling solar power plant in Greece based on an innovative solar concentrator formed by elastic film," Renewable Energy, Elsevier, vol. 60(C), pages 446-453.
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    Cited by:

    1. Lai, Xiaotian & Yu, Minjie & Long, Rui & Liu, Zhichun & Liu, Wei, 2019. "Dynamic performance analysis and optimization of dish solar Stirling engine based on a modified theoretical model," Energy, Elsevier, vol. 183(C), pages 573-583.
    2. Leverone, Fiona & Pini, Matteo & Cervone, Angelo & Gill, Eberhard, 2020. "Solar energy harvesting on-board small satellites," Renewable Energy, Elsevier, vol. 159(C), pages 954-972.
    3. Mendoza Castellanos, Luis Sebastián & Galindo Noguera, Ana Lisbeth & Carrillo Caballero, Gaylord Enrique & De Souza, André Leandro & Melian Cobas, Vladimir Rafael & Silva Lora, Electo Eduardo & Ventur, 2019. "Experimental analysis and numerical validation of the solar Dish/Stirling system connected to the electric grid," Renewable Energy, Elsevier, vol. 135(C), pages 259-265.
    4. Glynn John, S. & Lakshmanan, T., 2017. "Cost optimization of dish solar concentrators for improved scalability decisions," Renewable Energy, Elsevier, vol. 114(PB), pages 600-613.
    5. Buscemi, Alessandro & Lo Brano, Valerio & Chiaruzzi, Christian & Ciulla, Giuseppina & Kalogeri, Christina, 2020. "A validated energy model of a solar dish-Stirling system considering the cleanliness of mirrors," Applied Energy, Elsevier, vol. 260(C).
    6. Ciulla, Giuseppina & Guarino, Stefania & Lanchi, Michela & D'Auria, Marco & De Lucia, Maurizio & Salvestroni, Michele & Di Dio, Vincenzo, 2023. "Hybridization solutions for solar dish systems installed in the Mediterranean region," Renewable Energy, Elsevier, vol. 217(C).
    7. Carrillo Caballero, Gaylord Enrique & Mendoza, Luis Sebastian & Martinez, Arnaldo Martin & Silva, Electo Eduardo & Melian, Vladimir Rafael & Venturini, Osvaldo José & del Olmo, Oscar Almazán, 2017. "Optimization of a Dish Stirling system working with DIR-type receiver using multi-objective techniques," Applied Energy, Elsevier, vol. 204(C), pages 271-286.

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