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Stochastic calculation of reactivity in subcritical reactor by the Euler-Maruyama method

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Title: Stochastic calculation of reactivity in subcritical reactor by the Euler-Maruyama method

Authors: Daniel Suescún-Díaz, Freddy Humberto Escobar, D. Peña Lara

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2022

Volume: 17

Issue: 12

Language: English

Categories
Stochastic Processes (111) Numerical Methods (43) Computational Physics (89) Reactor Physics (18) Nuclear Engineering (129)

Abstract

A set of stochastic differential equations of Itô for the delayed neutron precursor concentrations is derived from the point kinetics model using a function of subcritical importance is presented in this work. These new equations are validated using the Euler-Maruyama method to calculate the stochastic reactivity of a subcritical system for different numerical experiments involving constant and linear neutron density. The results demonstrate that the new model is consistent with results reported in the literature for the dynamics of reactors guided by external neutron sources known as ADS (Accelerator Driven System).

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