Numerical Investigation of Dynamic Fluctuations Following Nuclear Reactor Transients Using a Simplified Stochastic Model

• Published in: Journal of nuclear science and technology Vol. 48; no. 2; pp. 237 - 242
• Main Authors: HA, Pham Nhu Viet, KIM, Jong Kyung
• Format: Journal Article
• Language: English
• Published: Tokyo Taylor & Francis Group 01-02-2011; Atomic Energy Society of Japan
• Subjects: Applied sciences; dynamic fluctuation; Energy; Energy. Thermal use of fuels; Exact sciences and technology; Fission nuclear power plants; Fuels; Installations for energy generation and conversion: thermal and electrical energy; Itô stochastic differential equation; Nuclear fuels; reactor transient; space-time dependent stochastic kinetics; Stochastic model; Fluctuations; Differential equation; Reactor kinetics; Unsteady state; reactor transient; space-time dependent stochastic kinetics; Modeling; Nuclear reactor; Subcritical reactor; Nuclear safety; Kinetic model; Power control; Oscillation; Itô stochastic differential equation; dynamic fluctuation
• ISSN: 0022-3131; 1881-1248
• DOI: 10.1080/18811248.2011.9711697

In previous studies, a simplified stochastic model (called the stochastic space-dependent kinetics model, SSKM) based on the forward stochastic model in the stochastic kinetics theory and the Itô stochastic differential equations was developed for the analysis of monoenergetic space-time nuclear reactor kinetics in one dimension. However, the behavior of the dynamic variations under a transient condition that plays a crucial role in operational and safety controls of nuclear power reactors has not been explicitly analyzed using this model. In this work, a numerical investigation is made using the SSKM in order to observe the random oscillations in population dynamics following various transients in subcritical and supercritical reactors. The results, which appear plausible on a physical basis, demonstrate that the behavior of the stochastic neutron and precursor distributions within a reactor can be induced using the SSKM.