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

In: Integral Methods in Science and Engineering

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. Wollmann da Silva & B. E. J. Bodmann & M. T. B. Vilhena & R. Vasques, 2015. "Influence of Stochastic Moments on the Solution of the Neutron Point Kinetics Equation," Springer Books, in: Christian Constanda & Andreas Kirsch (ed.), Integral Methods in Science and Engineering, edition 1, chapter 0, pages 675-686, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-16727-5_56
    DOI: 10.1007/978-3-319-16727-5_56
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