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http://dx.doi.org/10.5516/NET.2011.43.6.523

FURTHER EVALUATION OF A STOCHASTIC MODEL APPLIED TO MONOENERGETIC SPACE-TIME NUCLEAR REACTOR KINETICS  

Ha, Pham Nhu Viet (Department of Nuclear Engineering, Hanyang University)
Kim, Jong-Kyung (Department of Nuclear Engineering, Hanyang University)
Publication Information
Nuclear Engineering and Technology / v.43, no.6, 2011 , pp. 523-530 More about this Journal
Abstract
In a previous study, the stochastic space-dependent kinetics model (SSKM) based on the forward stochastic model in stochastic kinetics theory and the Ito stochastic differential equations was proposed for treating monoenergetic space-time nuclear reactor kinetics in one dimension. The SSKM was tested against analog Monte Carlo calculations, however, for exemplary cases of homogeneous slab reactors with only one delayed-neutron precursor group. In this paper, the SSKM is improved and evaluated with more realistic and complicated cases regarding several delayed-neutron precursor groups and heterogeneous slab reactors in which the extraneous source or reactivity can be introduced locally. Furthermore, the source level and the initial conditions will also be adjusted to investigate the trends in the variances of the neutron population and fission product levels across the reactor. The results indicate that the improved SSKM is in good agreement with the Monte Carlo method and show how the variances in population dynamics can be controlled.
Keywords
Space-time Dependent; Stochastic Kinetics; Forward Stochastic Model; Ito Stochastic Differential Equation; Heterogeneous Reactor; Dynamic Fluctuation;
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  • Reference
1 Jr. H. Hurwitz et al., "Kinetics of Low Source Reactor Startups Part II," Nucl. Sci. Eng., 15, 187 (1963).   DOI
2 D. B. MacMillan and M. L. Storm, "Kinetics of Low Source Reactor Startups Part III," Nucl. Sci. Eng., 16, 369 (1963).   DOI
3 P. N. V. Ha and J. K. Kim, "A Stochastic Approach to Monoenergetic Space-time Nuclear Reactor Kinetics," J. Nucl. Sci. Technol., 47, 705 (2010).   DOI   ScienceOn
4 E. J. Allen, Modeling with Ito Stochastic Differential Equations, Springer, New York (2007).
5 J. G. Hayes and E. J. Allen, "Stochastic Point-kinetics Equations in Nuclear Reactor Dynamics," Ann. Nucl. Energy, 32, 572 (2005).   DOI   ScienceOn
6 P. E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations, Springer, New York (1995).
7 J. R. Lamarsh and A. J. Baratta, Introduction to Nuclear Engineering, 3rd ed., p. 266, Prentice Hall, Upper Saddle River (2001).
8 J. J. Duderstadt and L. J. Hamilton, Nuclear Reactor Analysis, John Wiley and Sons, New York, p. 233 (1976).
9 D. L. Hetrick, Dynamics of Nuclear Reactors, The University of Chicago Press, Chicago (1971).
10 Y. Ronen, CRC Handbook of Nuclear Reactors Calculations, Vol. II, p. 219, CRC Press, Florida (1986).
11 Jr. H. Hurwitz et al., "Kinetics of Low Source Reactor Startups Part I," Nucl. Sci. Eng., 15, 166 (1963).   DOI
12 W. M. Stacey, Space-Time Nuclear Reactor Kinetics, Academic Press, New York (1969).
13 W. M. Stacey, Nuclear Reactor Physics, John Wiley and Sons, New York (2001).
14 T. M. Sutton and B. N. Aviles, "Diffusion Theory Methods for Spatial Kinetics Calculations," Pro. Nucl. Energy, 30, 119 (1996).   DOI   ScienceOn