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Uncertainty Quantification Spectral Technique for the Stochastic Point Reactor with Random Parameters

Author

Listed:
  • Safa Alaskary

    (Electrical and Computer Engineering Department, Engineering Faculty, King Abdul-Aziz University, Jeddah 21589, Saudi Arabia)

  • Mohamed El-Beltagy

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

Abstract

The stochastic point reactor with random parameters is considered in this work. The hybrid uncertain variations—noise and random parameters—are analyzed with the spectral techniques for the efficiency and high rates of convergence. The proposed hybrid technique enables one to derive an equivalent deterministic system that can be solved to get the mean solution and deviations due to each uncertainty. The contributions of different sources uncertainties can be decomposed and quantified. The deviations in the thermal hydraulics are also computed in the current work. Two model reactors are tested with the proposed technique and the comparisons show the advantages and efficiency compared with the other techniques.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:6:p:1297-:d:331362
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    References listed on IDEAS

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    1. Le Maître, O.P. & Knio, O.M., 2015. "PC analysis of stochastic differential equations driven by Wiener noise," Reliability Engineering and System Safety, Elsevier, vol. 135(C), pages 107-124.
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    Cited by:

    1. 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.
    2. Dan Gabriel Cacuci, 2022. "Sensitivity Analysis, Uncertainty Quantification and Predictive Modeling of Nuclear Energy Systems," Energies, MDPI, vol. 15(17), pages 1-7, September.

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