Abstract
In multigroup calculations of reactivity and sensitivity coefficients, methodical errors can appear if the interdependence of multigroup constants is not taken into account. For this effect to be taken into account, so-called implicit components of the aforementioned values are introduced. A simple technique for computing these values is proposed. It is based on the use of subgroup parameters.
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References
L. N. Usachev, in Building and Theory of Reactors, Collected vol. (Akad. Nauk SSSR, Moscow, 1955) [in Russian].
L. N. Usachev, Atom. Energ. 15(6) (1963).
V. V. Orlov, in Problems of Physics of Nuclear Reactors, Work Collection of Physical Energetical Institute (Obninsk, 1968) [in Russian].
S. B. Shikhov and V. B. Troyanskii, Theory of Nuclear Reactors (Energoatomizdat, Moscow, 1983) [in Russian].
J. E. Olhoeft, WCAP-2048 (Westinghouse Electric Corporation, Atomic Power Division, Pittsburgh, 1962).
MCNP — A General Monte Carlo N-Particle Code, Vers. 5, LA-ORNL. RSICC LA-UR-03-1987 (2003).
Y. Nagaya and T. Mori, J. Nucl. Sci. Technol. 42, 428 (2005).
B. Kiedrowski, F. Brown, and P. Wilson, in Proceedings of the International Conference on Reactor Physics, Pittsburgh, PA, USA, May 9–14, 2010.
K. F. Raskach, Nucl. Sci. Eng. 162, 158 (2009).
K. F. Raskach, Nucl. Sci. Eng. 165, 320 (2010).
K. F. Raskach and A. A. Blyskavka, in Proceedings of the International Conference on Reactor Physics, Pittsburgh, PA, USA, May 9–14, 2010.
B. T. Rearden, Nucl. Sci. Eng. 146, 367 (2004).
T. T. Ivanova, M. N. Nikolaev, K. F. Raskach, et al., Nucl. Sci. Eng. 145, 247 (2003).
L. P. Abagyan, N. O. Bazazyants, I. I. Bondarenko, and M. N. Nikolaev, Group Constants for Nuclear Reactor Calculations (Consultants Bureau, New York, 1964; Atomizdat, Moscow, 1964).
G. N. Manturov, M. N. Nikolaev, and A. M. Tsibulya, Vopr. At. Nauki Tekh., Yad. Konst., No. 1 (1996).
G. N. Manturov, M. N. Nikolaev, and A. M. Tsibulya, Preprint FEI-2828 (Obninsk, 2000).
N. M. Greene, BONAMI: Resonance Self-Shielding by the Bondarenko Method, ORNL/NUREG/ CSD-2/V2/R6 (2000).
R. E. MacFarlane, Report on Dec. 16, 1993 (1993).
M. L. Williams, B. L. Broadhead, and C. V. Parks, Nucl. Sci. Eng. 138, 177 (2001).
M. Jessee and B. Rearden, in Proceedings of the SCALE 6 TRITON Lattice Physics Workshop, Workshop for PHYSOR-2010, International Conference on Reactor Physics, Pittsburgh, PA, USA, May 9–14, 2010.
A. D. Galanin, Introduction to the Theory of Nuclear Reactors Operating on Thermal Neutrons (Energoatomizdat, Moscow, 1990) [in Russian].
M. L. Williams and D. Gilai, Ann. Nucl. Energy 9, 137 (1982).
K. F. Raskach, Preprint FEI-3014 (Obninsk, 2004).
M. N. Nikolaev and V. V. Filippov, Atom. Energ. 15(6) (1963).
M. N. Nikolaev, B. G. Ryazanov, M. M. Savos’kin, and A. M. Tsibulya, The Multigroup Approximation in the Theory of Neutron Transport (Energoatomizdat, Moscow, 1984) [in Russian].
S. J. Raffety and J. T. Mihalczo, Y-DR-14, Union Carbide Corp., Nuclear Division, Oak Ridge Y-12 Plant (1969).
RSICC CCC-547/TWODANT-SYS, Radiation Safety Information Computational Center (Oak Ridge National Laboratory, 1995).
O. G. Komlev and K. F. Raskach, Preprint FEI-3013 (Obninsk, 2004).
K. F. Raskach, Extended Abstract of Candidate’s Dissertation in Physics and Mathematics (Obninsk, 2004).
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Original Russian Text © K.F. Raskach, 2011, published in VANT. Fizika Yadernykh Reaktorov, 2011, No. 1, pp. 17–25.
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Raskach, K.F. Introduction of corrections taking into account interdependence of multigroup constants to the results of multigroup perturbation theory calculations. Phys. Atom. Nuclei 75, 1557–1563 (2012). https://doi.org/10.1134/S1063778812130066
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DOI: https://doi.org/10.1134/S1063778812130066