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On the Neutron Point Kinetic Equation with Reactivity Decomposition Based on Two Time Scales

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Integral Methods in Science and Engineering, Volume 2

Abstract

The present contribution describes a point kinetics model for nuclear reactor control, that besides the neutron population and the delayed precursor concentration also considers two neutron poisons. The nonlinear equation system is solved for a selection of initial conditions. For the oscillatory reactivity case the influence of the small time scales on the large time scales are observed.

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References

  1. Adomian, G.: A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135, 501–544 (1988)

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  2. Adomian, G.: Solving Frontier Problems of Physics: The Decomposition Method, 1st edn. Kluwer Academic Publishers, Athens (1994)

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  3. Oka, Y., Suzuki, K.: Nuclear Reactor Kinetics and Plant Control. Springer, Tokyo (2013)

    Book  Google Scholar 

  4. Reuss, P.: Neutron Physics. EDP Sciences (2008)

    Google Scholar 

  5. Rydin, R.A.: Nuclear Reactor Theory and Design, 3rd edn. PBS Series in Reactor Physics (2003)

    Google Scholar 

  6. Sekimoto, H.: Nuclear Reactor Theory. Institute of Technology, COE-INES, Tokyo (2007)

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Correspondence to C. E. Espinosa .

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Espinosa, C.E., Bodmann, B.E.J., Vilhena, M.T. (2017). On the Neutron Point Kinetic Equation with Reactivity Decomposition Based on Two Time Scales. In: Constanda, C., Dalla Riva, M., Lamberti, P., Musolino, P. (eds) Integral Methods in Science and Engineering, Volume 2. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-59387-6_7

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