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Comparison of Analytical and Numerical Solution Methods for the Point Kinetics Equation with Temperature Feedback Free of Stiffness

In: Integral Methods in Science and Engineering

Author

Listed:
  • J. J. A. Silva

    (Federal University of Rio de Janeiro)

  • A. C. M. Alvim

    (Federal University of Rio de Janeiro)

  • B. E. J. Bodmann

    (Federal University of Rio Grande do Sul)

  • M. T. B. Vilhena

    (Federal University of Rio Grande do Sul)

Abstract

The nuclear point kinetics equations with temperature feedback are a stiff system of nonlinear differential equations that determine the neutron density and delayed precursor concentrations. From the time evolution of these quantities one may simulate the power density of a nuclear reactor. Computing solutions of the point kinetics equations provide information on the dynamics of nuclear reactor operation and are useful for an understanding of power variations when the control rods are adjusted. Although its range of applicability has been severely restricted by the increasing importance of optimal power loosely coupled reactor cores, they still remain useful in terms of preliminary studies, especially when control aspects are of concern. The presence of temperature feedback is useful to provide an estimate of the transient behavior of reactor power and other system variables of tightly coupled reactor cores.

Suggested Citation

  • J. J. A. Silva & A. C. M. Alvim & B. E. J. Bodmann & M. T. B. Vilhena, 2015. "Comparison of Analytical and Numerical Solution Methods for the Point Kinetics Equation with Temperature Feedback Free of Stiffness," Springer Books, in: Christian Constanda & Andreas Kirsch (ed.), Integral Methods in Science and Engineering, edition 1, chapter 0, pages 563-575, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-16727-5_47
    DOI: 10.1007/978-3-319-16727-5_47
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