Abramov B.D., Raskach K.F.
A.I. Leypunsky Institute for Physics and Power, Obninsk, Russia
The paper deals with the development and validation of methods for calculating the reactivity effects arising from the thermal deformation reactor cores. We are talking about the famous method developed S.B. Shikhov et al. Reed M., Smith K. and Forget B. in the report "The" virtual "density theory on neutronics: a generic method for geometry distortion reactivity coefficients», presented at the Physor conference in 2014, called this method "Soviet" method.
This method has a number of undoubted theoretical and practical advantages. However, the authors of the report classify this method as a rudimentary method. Since it is suitable, in their view, to describe a continuous deformation, rather than the more common, piecewise continuous deformations, the correct description is that these writers claim.
However, this is generally not true. Furthermore, the need for such generalizations when considering the expansion of the core processes as a whole, above, are generally not encountered. However, such a need arises in the modeling processes of thermal expansion, taking into account the mutual displacement assemblies (cassettes, cells) of the reactor with respect to each other.
Implementations of this need was devoted to the above report. It attempts to spread the theory S.B. Shikhov et al. in the case of piecewise continuous deformations. However, the authors of the report made some inaccuracies, largely depreciated its value.
These inaccuracies are eliminated in the proposed work, which gives the desired generalization of the Shikhov’s theory in the case of piecewise continuous deformations.
1. Marchuk G.I. Metody rascheta jadernyh reaktorov [Methods of calculation of nuclear reactors]. Moscow, Gosatomizdat 1961.
2. Orlov V.V., Matveev V.I., Zhukov A.V. et al. The basic principles of selecting regulatory power reactors and fast temperature and power effects in a fast reactor. - Kernenergie, 1969. Bd.12, H4,
PP. 112-124.
3. Hammel G, Okrent D. Reactivity coefficients in Large Fast Power Reactors on fast. (Russ. ed. Kojefficienty reaktivnosti v bol'shih jenergeticheskih reaktorah na bystryh nejtronah. Moscow, Atomizdat, 1975).
4. Stumbur Je.A. Primenenie teorii vozmushhenij v fizike jadernyh reaktorov [The use of perturbation theory in the physics of nuclear reactors. Moscow, Atomizdat, 1976.
5. Zizin M.N. Raschet nejtronno-fizicheskih harakteristik reaktorov na bystryh nejtronah [Calculation of neutron-physical characteristics of fast neutron reactors]. Moscow, Atomizdat, 1978.
6. Shihov S.B., Trojanskij V.B. Teorija jadernyh reaktorov [The theory of nuclear reactors]. Moscow, Energoatomizdat, 1983.
7. Shihov S.B. Uchet vlijanija izmenenija razmerov na kriticheskuju massu bystrogo reaktora s pomoshh'ju teorii vozmushhenij [The influence of changes in the size of the critical mass of a fast reactor using perturbation theory]. Atomnaja jenergija - Nuclear Energy, 1958, Vol. 6, Issue 2, pp. 162-168.
8. Shihov S.B., Shmelev A.N. Uchet vlijanija proizvol'nogo izmenenija razmerov na kriticheskuju massu bystrogo reaktora s pomoshh'ju teorii vozmushhenij. [Accounting for the effects of any changes in the size of the critical mass of a fast reactor using perturbation theory]. V sb. Fizika jadernyh reaktorov. Moscow, MIFI, Atomizdat [Proc. of MEPhI “Physics of nuclear reactors”], 1968, pp. 67-85.
9. Shihov S.B., Shmelev A.N. K voprosu o raschete vozmushhenij v razmerah reaktora i ego konfiguracii [On the question of calculating the perturbations in the reactor size and configuration]. VANT, Ser. Jadernaja fizika nizkih i srednih jenergij, reaktornaja fizika [PAST, Ser. Nuclear Physics of Low and Medium Energy, Reactor Physics], 1973, issue 2, pp. 45-50.
10. Grabezhnoj V.A., Danilychev A.V., Elistratov D.G. et al. Jeffekty kinetichnosti pri raschete kojefficientov reaktivnosti v bol'shom bystrom reaktore s natrievoj polost'ju [Effects kinetism the calculation of reactivity coefficients in a large fast reactor with sodium cavity]. VANT, Ser. Jadernye konstanty [PAST, Ser. Nuclear Constants], 1996, issue 2, pp. 111-125.
11. Abramov B.D. Razvitie kineticheskoj teorii vozmushhenij dlja ocenki jeffektov reaktivnosti v deformiruemyh zonah jadernyh reaktorov [The development of the kinetic theory of perturbations to assess reactivity effects in deformable zones of nuclear reactors], Preprint FJeI-2700 [Preprint IPPE-2700], Obninsk, 1998.
12. Abramov B.D. Raschet jeffektov reaktivnosti v deformiruemyh zonah jadernyh reaktorov [Calculation of reactivity effects in deformable zones of nuclear reactors]. Atomnaja jenergija [Nuclear Energy], 1998, v. 85, issue 6, pp. 427-433.
13. Reed M., Smith K., Forget B. The “virtual” density theory on neutronics: a generic method for geometry distortion reactivity coefficients”. Physor 2014, on CD-ROM (2014).
14. Abramov B.D. Nekotorye metody rascheta vozmushhenij na jadernyh reaktorah [Some methods of calculating the perturbations in nuclear reactors]. VANT, Ser. Fizika jadernyh reaktorov [PAST, Ser. Physics of nuclear reactors], 2014, issue 4, pp. 5-13.
