Influence of Stochastic Moments on the Solution of the Neutron Point Kinetics Equation

M. Wollmann da Silva (), B. E. J. Bodmann (), M. T. B. Vilhena () and R. Vasques ()
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M. Wollmann da Silva: Federal University of Rio Grande do Sul
B. E. J. Bodmann: Federal University of Rio Grande do Sul
M. T. B. Vilhena: Federal University of Rio Grande do Sul
R. Vasques: Federal University of Rio Grande do Sul

Chapter Chapter 56 in Integral Methods in Science and Engineering, 2015, pp 675-686 from Springer

Abstract: Abstract The neutron point kinetics equations, which model the time-dependent behavior of nuclear reactors (Aboander and Hamada, Ann. Nucl. Eng. 30:1111–1122, 2003; Hayes and Allen, Ann. Nucl. Eng. 32:572–587, 2005; Hetrick, Dynamics of Nuclear Reactors. University of Chicago Press, Chicago, 1971; Sánchez, Nucl. Sci. Eng. 103:94–99, 1989), are often used to understand the dynamics of nuclear reactor operations (e.g., power fluctuations caused by control rod motions during start-up and shut-down procedures). They consist of a system of coupled differential equations that model the interaction between (i) the neutron population and (ii) the concentration of the delayed neutron precursors, neutron precursors which are radioactive isotopes formed in the fission process that decay through neutron emission. These equations are deterministic in nature, and therefore can provide only average values of the modeled populations. However, the actual dynamical process is stochastic: the neutron density and the delayed neutron precursor concentrations vary randomly with time.

Keywords: Monte Carlo; Stochastic Differential Equation; Neutron Density; Stochastic Fluctuation; Linear Reactivity (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-16727-5_56

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