Authors & Affiliations
Gulevich A.V., Dolgikh V.P., Eliseev V.A., Peregudova O.O., Rozhikhin E.V., Semenov M.Yu., Stogov V.Yu., Tormyshev I.V.
A.I. Leypunsky Institute for Physics and Power Engineering, Obninsk, Russia
Gulevich A.V. – Deputy Director of the Department of Nuclear Energy, Dr. Sci. (Phys. and Math.), A.I. Leypunsky Institute for Physics and Power Engineering.
Dolgikh V.P. – Senior Researcher, Cand. Sci. (Tech.), A.I. Leypunsky Institute for Physics and Power Engineering.
Eliseev V.A. – Head of laboratory, Cand. Sci. (Tech.), A.I. Leypunsky Institute for Physics and Power Engineering.
Peregudova O.O. – Researcher, A.I. Leypunsky Institute for Physics and Power Engineering.
Rozhikhin E.V. – Senior Researcher, A.I. Leypunsky Institute for Physics and Power Engineering.
Semenov M.Yu. – Leading Researcher, Cand. Sci. (Phys. and Math.), A.I. Leypunsky Institute for Physics and Power Engineering.
Stogov V.Yu. – Senior Researcher, A.I. Leypunsky Institute for Physics and Power Engineering.
Tormyshev I.V. – Leading engineer, A.I. Leypunsky Institute for Physics and Power Engineering. Contacts: 1, pl. Bondarenko, Obninsk, Kaluga region, Russia, 249033. Tel.: +7 (484) 399-47-82; e-mail:
Maximum core height of BN-type reactors is limited by safety considerations. If the core height exceeds 85-90 cm, ULOF-type accident leads to the heavy core damage. Hence, increase of reactor power leads to increase of core diameter and D/H ratio. Neutron field stability in the large diameter cores should be considered.
Ratio of the two first eigenvalues of static reactor balance equation (dominance ratio) widely used as neutron field stability criterion. The results of dominance ratio evaluation for large BN-type reactor are considered in the article. Dominance ratio of BN-type reactor compared with dominance ratios for several high power thermal reactors. It is shown that dominance ratio of BN-type high power reactor is still lower, than that of thermal reactors. Hence, instability of neutron field in BN-type reactors due to high dominance ratio seems to be unlikely.
BN-type reactor, dominance ratio, neutron field stability, static reactor balance equation
1. Poplavsky V.M., Matveev V.I., Eliseev V.A., Kuznetsov I.A., Volkov A.V., Shvetsov Y.E., Khomyakov Y.S., Tsiboula A.M. Studies on Influence of Sodium Void Reactivity Effect on the Concept of the Core and Safety of Advanced Fast Reactor. Journal of Nuclear Science and Technology, 2011, vol. 48, no. 4, pp. 538–546.
2. Weston M. Stacey. Nuclear reactor physics. New York, John Wiley & Sons Inc., 2001. 707 p.
3. Maillot M., Tommasi J., Rimpault G. A Search for Theories Enabling Analyses of Spatial Effects In Highly Coupled SFR Cores. Proc. PHYSOR 2016. Sun Valley, USA, 2016.
4. Weston M. Stacey. Linear Analysis of Xenon Spatial Oscillations. Nuclear Science and Engineering, 1967, vol. 30, no. 3, pp. 453–455.
5. Sorensen D.C. Implicit application of polynomial lters in a k-step Arnoldi method SIAM. J. Matrix Analysis and Applications, 1992, vol. 13, no. 1, pp. 357–385.
6. Lehoucq R.B., Sorensen D.C., Yang C. ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1998. 137 p.
7. Komlev O.G., Novikova N.N., Trevgoda М.М., Filimonov Е.V. Sostoyanie i problemy raschetno-metodicheskogo obespecheniya proektnykh razrabotok reaktornykh ustanovok s teplonositelem svinets-vismut [State and problems of calculation and methodological support of design developments of reactor facilities with lead-bismuth coolant]. Izvestiya vuzov. Yadernaya energetika - Proseedings of Universities. Nuclear Power Engineering, 2007, vol. 1, pp. 79–91.
9. Turso J.A., March-Leuba J., Edwards R.M. A Modal-based reduced-order model of BWR out-of-phase instabilities. Annals of Nuclear Energy, 1997, vol. 24, no. 12, pp. 921—934.
10. Hashimoto K., Hirose M., Shibata T. Interpretation of positive scram reactivity in the RBMK-1000 reactor. Annals of Nuclear Energy, 1994, vol. 21, no. 4, pp. 211–217.