Skip to main content
Log in

Transient control in nuclear power reactors

  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Abstract

Linear and nonlinear problems of transient control in reactors are considered. Controllability of distributed systems is analyzed for mathematical models described by the reactor dynamics system. Sufficient conditions of transient controllability are derived for these reactor models.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. I. Marchuk, Computational Methods for Nuclear Reactors [in Russian], Atomizdat, Moscow (1961).

    Google Scholar 

  2. S. Albertoni and B. Montagnini, “On the spectrum of neutron transport equation in finite bodies,” J. Math. Anal. Appl.,13, 19 (1966).

    Google Scholar 

  3. Z. Akasu, G. S. Lellouche, and L. M. Shotkin, Mathematical Methods in Nuclear Reactor Dynamics, Academic Press, New York (1971).

    Google Scholar 

  4. S. B. Shikhov, Topics in Mathematical Theory of Reactors (Linear Analysis) [in Russian], Atomizdat, Moscow (1973).

    Google Scholar 

  5. A. V. Kryanev and S. B. Shikhov, Topics in Mathematical Theory of Reactors (Nonlinear Analysis) [in Russian], Energoatomizdat, Moscow (1983).

    Google Scholar 

  6. Yu. A. Kuznetsov and S. F. Morozov, “Integro-differential system of reactor kinetics equations,” Diff. Uravn.,10, No. 8, 1491–1502 (1974).

    Google Scholar 

  7. Yu. A. Kuznetsov, “Optimization of physical characteristic of a nuclear reactor,” Dokl. Akad. Nauk SSSR,260, No. 3, 583–587 (1981).

    Google Scholar 

  8. A. I. Prilepko and N. P. Volkov, “Inverse problems of determining the parameters of nonstationary transport equation using additional information about traces of sought function,” Diff. Uravn.,24, No. 1, 136–146 (1988).

    Google Scholar 

  9. A. L. Ivankov and A. I. Prilepko, “Uniqueness and stability of determination of nonhomogeneous parameters of inverse problems in nonstationary transport theory,” in: Mathematical Modeling. Modern Topics in Mathematical Physics and Computational Mathematics [in Russian], Nauka, Moscow (1989), pp. 185–206.

    Google Scholar 

  10. N. P. Volkov, “Controllability of some mass-transport processes,” in: Nonlinear System Control [in Russian], VNIISI, Moscow, No. 4, pp. 33–36 (1991).

    Google Scholar 

  11. N. P. Volkov, “Sufficient solvability conditions of inverse problems (control problems) for mass-transport processes,” in: Inverse Problems for Mathematical Models of Physical Processes [in Russian], MIFI, Moscow (1991), pp. 16–21.

    Google Scholar 

  12. N. P. Volkov, “On some inverse problems for time-dependent transport equation,” in: Ill-Posed Problems in Natural Sciences, TVP-VSP, Moscow (1992), pp. 431–438.

    Google Scholar 

Download references

Authors

Additional information

Translated from Nelineinye Dinamicheskie Sistemy: Kachestvennyi Analiz i Upravlenie — Sbornik Trudov, No. 3, pp. 39–45, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Volkov, N.P. Transient control in nuclear power reactors. Comput Math Model 7, 374–379 (1996). https://doi.org/10.1007/BF01128135

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01128135

Keywords

Navigation