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Development of a Trajectory Period Folding Method for Burnup Calculations

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  • Przemysław Stanisz

    (Faculty of Energy and Fuels, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, Poland)

  • Mikołaj Oettingen

    (Faculty of Energy and Fuels, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, Poland)

  • Jerzy Cetnar

    (Faculty of Energy and Fuels, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, Poland)

Abstract

In this paper, we present a trajectory period folding method for numerical modelling of nuclear transformations. The method uses the linear chain method, commonly applied for modelling of isotopic changes in matter. The developed method folds two consecutive periods of time and forms linear chain representations. In the same way as in the linear chain method, the mass flow of straight nuclide-to-nuclide transitions following the formation of nuclide transmutation chains in every step is considered over the total period of interest. Therefore, all quantitative data about the isotopic transformations for the period beyond a particular calculation step are preserved. Moreover, it is possible to investigate the formation history of any isotope from the beginning of irradiation to the arbitrary time step, including cooling periods and multi-recycling for any designed nuclear fuel cycle. We present a case study for the transition from 238 U to 239 Pu and define the properties of the developed method and its possible applications in reactor physics calculations.

Suggested Citation

  • Przemysław Stanisz & Mikołaj Oettingen & Jerzy Cetnar, 2022. "Development of a Trajectory Period Folding Method for Burnup Calculations," Energies, MDPI, vol. 15(6), pages 1-15, March.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:6:p:2245-:d:774767
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    References listed on IDEAS

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    1. Michał Górkiewicz & Jerzy Cetnar, 2021. "Flattening of the Power Distribution in the HTGR Core with Structured Control Rods," Energies, MDPI, vol. 14(21), pages 1-14, November.
    2. Dan Gabriel Cacuci, 2021. "High-Order Deterministic Sensitivity Analysis and Uncertainty Quantification: Review and New Developments," Energies, MDPI, vol. 14(20), pages 1-53, October.
    3. Mikołaj Oettingen, 2021. "Assessment of the Radiotoxicity of Spent Nuclear Fuel from a Fleet of PWR Reactors," Energies, MDPI, vol. 14(11), pages 1-23, May.
    4. Jerzy Cetnar & Przemysław Stanisz & Mikołaj Oettingen, 2021. "Linear Chain Method for Numerical Modelling of Burnup Systems," Energies, MDPI, vol. 14(6), pages 1-19, March.
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    Cited by:

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    3. Maithah M. Alaleeli & Saeed A. Alameri & Mohammad Alrwashdeh, 2022. "Neutronic Analysis of SiC/SiC Sandwich Cladding Design in APR-1400 under Normal Operation Conditions," Energies, MDPI, vol. 15(14), pages 1-20, July.
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