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

Alamir Elsayed, Mohamed El-Beltagy, Amnah Al-Juhani and Shorooq Al-Qahtani
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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

Energies, 2021, vol. 14, issue 4, 1-14

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.

Keywords: point kinetic reactor; stochastic processes; stochastic modeling; Langevin point kinetic model (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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