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A New Model for the Stochastic Point Reactor: Development and Comparison with Available Models

Author

Listed:
  • Alamir Elsayed

    (Engineering Mathematics and Physics Department, Engineering Faculty, Cairo University, Giza 12613, Egypt)

  • Mohamed El-Beltagy

    (Engineering Mathematics and Physics Department, Engineering Faculty, Cairo University, Giza 12613, Egypt)

  • Amnah Al-Juhani

    (Department of Mathematics, Faculty of Science, Tabuk University, Tabuk 7149, Saudi Arabia)

  • Shorooq Al-Qahtani

    (Department of Mathematics, Faculty of Science, Tabuk University, Tabuk 7149, Saudi Arabia)

Abstract

The point kinetic model is a system of differential equations that enables analysis of reactor dynamics without the need to solve coupled space-time system of partial differential equations (PDEs). The random variations, especially during the startup and shutdown, may become severe and hence should be accounted for in the reactor model. There are two well-known stochastic models for the point reactor that can be used to estimate the mean and variance of the neutron and precursor populations. In this paper, we reintroduce a new stochastic model for the point reactor, which we named the Langevin point kinetic model (LPK). The new LPK model combines the advantages, accuracy, and efficiency of the available models. The derivation of the LPK model is outlined in detail, and many test cases are analyzed to investigate the new model compared with the results in the literature.

Suggested Citation

  • Alamir Elsayed & Mohamed El-Beltagy & Amnah Al-Juhani & Shorooq Al-Qahtani, 2021. "A New Model for the Stochastic Point Reactor: Development and Comparison with Available Models," Energies, MDPI, vol. 14(4), pages 1-14, February.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:4:p:955-:d:497763
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    References listed on IDEAS

    as
    1. Safa Alaskary & Mohamed El-Beltagy, 2020. "Uncertainty Quantification Spectral Technique for the Stochastic Point Reactor with Random Parameters," Energies, MDPI, vol. 13(6), pages 1-11, March.
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