Numerical Simulation of Stochastic Point Kinetics Equation in the Dynamical System of Nuclear Reactor

Santanu Saha Ray ()
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Santanu Saha Ray: National Institute of Technology Rourkela, Department of Mathematics

Chapter Chapter 9 in Nonlinear Differential Equations in Physics, 2020, pp 375-388 from Springer

Abstract: Abstract In nuclear reactor dynamics, the point kinetics equations are the coupled differential equations for the neutron density and for the delayed neutron precursor concentrations. The point kinetics equations are the most vital model in nuclear engineering, and these equations model the time-dependent behavior of a nuclear reactor (Hetrick in Dynamics of nuclear reactors. American Nuclear Society, Chicago, London, 1993 [1]; Duderstadt and Hamilton in Nuclear reactor analysis. Wiley, Michigan, USA, 1976 [2]; Kinard and Allen in Ann Nucl Energy 31:1039–1051, 2004 [3]; Hayes and Allen in Ann Nucl Energy 32:572–587 [4]). The time-dependent parameters in this system are the reactivity function and neutron source term. The dynamical process described by the point kinetics equations is stochastic in nature, and the neutron density and delayed neutron precursor concentrations vary randomly with time. At high power levels, random behavior is negligible. But at low power levels, such as at the beginning, random fluctuation in the neutron density and neutron precursor concentrations can be significant.

Date: 2020
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DOI: 10.1007/978-981-15-1656-6_9

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