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Minimizing the Standard Deviation of the Thermal Load in the Spent Nuclear Fuel Cask Loading Problem

Author

Listed:
  • Joaquín Bautista-Valhondo

    (ETSEIB, Universitat Politècnica de Catalunya, Avda. Diagonal 647, 08028 Barcelona, Spain)

  • Lluís Batet

    (ETSEIB, Universitat Politècnica de Catalunya, Avda. Diagonal 647, 08028 Barcelona, Spain)

  • Manuel Mateo

    (ETSEIB, Universitat Politècnica de Catalunya, Avda. Diagonal 647, 08028 Barcelona, Spain)

Abstract

The paper assumes that, at the end of the operational period of a Spanish nuclear power plant, an Independent Spent Fuel Storage Installation will be used for long-term storage. Spent fuel assemblies are selected and transferred to casks for dry storage, with a series of imposed restrictions (e.g., limiting the thermal load). In this context, we present a variant of the problem of spent nuclear fuel cask loading in one stage (i.e., the fuel is completely transferred from the spent fuel pool to the casks at once), offering a multi-start metaheuristic of three phases. (1) A mixed integer linear programming (MILP-1) model is used to minimize the cost of the casks required. (2) A deterministic algorithm (A1) assigns the spent fuel assemblies to a specific region of a specific cask based on an MILP-1 solution. (3) Starting from the A1 solutions, a local search algorithm (A2) minimizes the standard deviation of the thermal load among casks. Instances with 1200 fuel assemblies (and six intervals for the decay heat) are optimally solved by MILP-1 plus A1 in less than one second. Additionally, A2 gets a Pearson’s coefficient of variation lower than 0.75% in less than 260s CPU (1000 iterations).

Suggested Citation

  • Joaquín Bautista-Valhondo & Lluís Batet & Manuel Mateo, 2020. "Minimizing the Standard Deviation of the Thermal Load in the Spent Nuclear Fuel Cask Loading Problem," Energies, MDPI, vol. 13(18), pages 1-26, September.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:18:p:4869-:d:415091
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    References listed on IDEAS

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    1. Adam Chehouri & Rafic Younes & Jean Perron, 2016. "Wind Turbine Design: Multi-Objective Optimization," Chapters, in: Abdel Ghani Aissaoui & Ahmed Tahour (ed.), Wind Turbines - Design, Control and Applications, IntechOpen.
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    Cited by:

    1. Ratiko Ratiko & Raden Sumarbagiono & Aisyah Aisyah & Wati Wati & Kuat Heriyanto & Mirawaty Mirawaty & Pungky Ayu Artiani & Yuli Purwanto & Dwi Luhur Ibnu Saputra & Jaka Rachmadetin & Risdiyana Setiawa, 2022. "Theoretical and Experimental Analysis on Influence of Natural Airflow on Spent Fuel Heat Removal in Dry Cask Storage," Sustainability, MDPI, vol. 14(3), pages 1-15, February.

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