Skip to main content
SpringerLink
Log in

On the interpretation of the inverted kinetics equation and space-time calculations of the effectiveness of the VVER-1000 reactor scram system

  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

In the present paper, an attempt is made to analyze the accuracy of calculating the effectiveness of the VVER-1000 reactor scram system by means of the inverted solution of the kinetics equation (ISKE). In the numerical studies in the intellectual ShIPR software system, the actuation of the reactor scram system with the possible jamming of one of the two most effective rods is simulated. First, the connection of functionals calculated in the space-time computation in different approximations with the kinetics equation is considered on the theoretical level. The formulas are presented in a manner facilitating their coding. Then, the results of processing of several such functions by the ISKE are presented. For estimating the effectiveness of the VVER-1000 reactor scram system, it is proposed to use the measured currents of ionization chambers (IC) jointly with calculated readings of IC imitators. In addition, the integral of the delayed neutron (DN) generation rate multiplied by the adjoint DN source over the volume of the reactor, calculated for the instant of time when insertion of safety rods ends, is used. This integral is necessary for taking into account the spatial reactivity effects. Reasonable agreement was attained for the considered example between the effectiveness of the scram system evaluated by this method and the values obtained by steady-state calculations as the difference of the reciprocal effective multiplication factors with withdrawn and inserted control rods. This agreement was attained with the use of eight-group DN parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. N. Zizin, Preprint No. IAE-6354/5 (2005).

  2. S. V. Tsyganov and L. K. Shishkov, At. Energy 96, 159 (2004).

    Article  Google Scholar 

  3. V. G. Dementiev, V. D. Sidorenko, L. K. Shishkov, and S. V. Tsyganov, in Proceedings of the 15th Symposium of AER 91, Znojmo, Czech Republic, Oct. 2005, pp. 91100.

  4. Yu. A. Kazanskii and E. S. Matusevich, Experimental Methods of Reactor Physics (Energoatomizdat, Moscow, 1984) [in Russian].

    Google Scholar 

  5. B. D. Abramov, Vopr. At. Nauki Tekh., Fiz. Yad. Reakt., No. 3, 3 (2004).

    Google Scholar 

  6. B. D. Abramov, At. Energy 109, 232 (2010).

    Article  MathSciNet  Google Scholar 

  7. M. N. Zizin, Preprint IAE-6676/5 (Inst. At. Energ., 2011).

  8. L. N. Usachev, in Reactor Building and Theory of Reactors (AN SSSR, Moscow, 1955) [in Russian].

    Google Scholar 

  9. L. P. Abagyan, N. O. Bazazyants, M. N. Nikolaev, and A. M. Tsibulya, Group Constants for Calculations of Reactors and Protection, The Handbook (Energoizdat, Moscow, 1981) [in Russian].

    Google Scholar 

  10. M. N. Zizin and L. D. Ivanov, Vopr. At. Nauki Tekh., Fiz. Yad. Reakt., No. 1, 3 (2007).

    Google Scholar 

  11. S. V. Zabrodskaya, Candidate’s Dissertation in Physics and Mathematics (State Sci. Center RF, Phys. Energ. Inst., Obninsk, 2001).

    Google Scholar 

  12. M. N. Zizin, V. G. Zimin, S. N. Zizina, L. B. Kryakvin, V. A. Pitilimov, and V. A. Tereshonok, Vopr. At. Nauki Tekh., Fiz. Yad. Reakt., No. 3, 13 (2009).

    Google Scholar 

  13. V. G. Zimin, SKETCH-N: A Nodal Neutron Diffusion Code for Solving Steady-State and Kinetics Problems, Vol. 1: Model Description, Vol. 2: User’s Guide (2000); OECD NEA Data Bank, NEA-1577/01.

    Google Scholar 

  14. V. G. Zimin and D. M. Baturin, Ann. Nucl. Energy 29, 1105 (2002).

    Article  Google Scholar 

  15. N. I. Belousov, V. D. Davidenko, and V. F. Tsibul’skii, Preprint IAE-6083/4 (Inst. At. Energ., Moscow, 1998).

  16. V. F. Tsibul’skii and V. D. Davidenko, Report IYaR RNTs KI No. 35-410-4/10 (Kurchatov. Inst., Moscow, 2002).

  17. T. Takeda and Y. Komano, J. Nucl. Sci. Technol. 15, 523 (1978).

    Article  Google Scholar 

  18. A. S. Seregin, in Proceedings of the Seminar Neutronics-92, Algorithms and Programs for Neutron-Physical Calculations of Nuclear Reactors, Oct. 27–29, 1992 (Obninsk, 1994), pp. 164–170.

    Google Scholar 

  19. A. S. Seregin, in Proceedings of the Seminar Neutronics-92, Algorithms and Programs for Neutron-Physical Calculations of Nuclear Reactors, Oct. 27–29, 1992 (Obninsk, 1994), pp. 140–149.

    Google Scholar 

  20. Methods for Calculation of Neutron Physical Characteristics Using Data of Physical Experiments on NPP Energetic Blocks with VVER-1000 Reactors, RD EO 0151-2004 (Rosenergoatom, Moscow, 2004) [in Russian].

  21. M. N. Zizin, S. N. Zizina, L. B. Kryakvin, V. A. Pitilimov, and V. A. Tereshonok, Vopr. At. Nauki Tekh., Fiz. Yad. Reakt., No. 3, 43 (2010).

    Google Scholar 

  22. V. A. Tereshonok, V. F. Elizarov, V. V. Ivchenkov, L. V. Kryakvin, V. A. Pitilimov, and V. S. Stepanov, Report VNIIAES No. OE-3395/2005 (2005).

  23. D. R. Kipin, Physical Principles of the Kinetics of Nuclear Reactors (Atomizdat, Moscow, 1967) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Research Center Kurchatov Institute, pl. Kurchatova 1, Moscow, 123182, Russia

    M. N. Zizin & L. D. Ivanov

Authors
  1. M. N. Zizin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. D. Ivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. N. Zizin.

Additional information

Original Russian Text © M.N. Zizin, L.D. Ivanov, 2012, published in VANT. Fizika yadernykh reaktorov, 2012, No. 2, pp. 28–43.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zizin, M.N., Ivanov, L.D. On the interpretation of the inverted kinetics equation and space-time calculations of the effectiveness of the VVER-1000 reactor scram system. Phys. Atom. Nuclei 76, 1639–1651 (2013). https://doi.org/10.1134/S1063778813140093

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778813140093

Keywords

Search

Navigation