Skip to main content

Description of Core Power Distribution

  • Chapter
  • First Online:
Reactor Core Monitoring

Part of the book series: Lecture Notes in Energy ((LNEN,volume 58))

  • 551 Accesses

Abstract

In Chap. 2, we have seen that reactor operation should keep the reactor state within given limits. Such limits have been formulated in (2.104), (2.105) and (2.106). The present Chapter endeavors coining methods to determine the quantities limited by the mentioned equations. To this end we may use elaborated measurements and the attached calculations. A goal of limitations is to check local heat generation or the local power release. By means of measurements and calculations we have to derive an estimated value for each quantity subjected to limitation. We also estimate the uncertainty of the safety parameters. We investigate the main models forming the basis of reactor operation. The mentioned models are discussed in more details in Chap. 4.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    A nucleus containing more than 200 neutrons and protons.

  2. 2.

    Stationary solution is constant in time thus the left-hand side of (3.14) is identically zero.

  3. 3.

    This is the case with the upper boundary of the core. There cables, motors, and other technical utensils are in an irregular arrangement. Nobody will give the isotope composition of such a volume.

  4. 4.

    In the sixties “multigroup” meant 6–16 energy groups, see [2].

  5. 5.

    We present calculations with space points above 200.

  6. 6.

    f is the ratio thermal neutrons absorbed by the fuel divided by the total number of neutrons absorbed.

  7. 7.

    In the laboratory coordinate system.

  8. 8.

    In thermal hydraulics the term control element is also used.

References

  1. Robertazzi, T.G., Schwartz, S.C.: Best ordering for floating-point addition. ACM Trans. Math. Softw. 14(1), 101–110 (1988)

    Google Scholar 

  2. Hansen, G.E., Roach, W.H.: Six and sixteen group cross sections for fast and intermediate critical assemblies, Report LAMS-2543, Los Alamos (1961)

    Google Scholar 

  3. Nikolaev, M.N., Ryazanov, B.G., Savoskin, M.M., Tzibulya, A.M.: Multigroup Approach in the Theory of Neutron Transport. Energoatomizdat, Moscow (1984). (in Russian)

    Google Scholar 

  4. IAEA Safety Standard Series No. GS-G-2.2, IEAE, Vienna, Chapter 6. Limits and conditions for normal operation; Chapter 7. Surveillance requirements and chapter 10. Compliance with operational limits and conditions and operating procedures (2000)

    Google Scholar 

  5. Ronen, Y. (ed.): CRC Handbook of Nuclear Reactors Calculations, vol. I. CRC, Boca Raton (1986)

    Google Scholar 

  6. Amouyal, A., Benoist, P., Horowitz, J.: Nouvelle Methode de Determination du Facteur d’Utilisation Thermique d’un Cellul. J. Nuclear Energy 6, 79 (1957)

    Google Scholar 

  7. Honeck, H.C.: THERMOS A thermalization transport theory code for reactor lattice calculations. Report BNL-5826 (1961)

    Google Scholar 

  8. Becker, R., Gadó, J., Kereszturi, A., Pshenin, V.: Asymptotic approximations and their place in WWER core analysis. In: Theoretical Investigations of the Physical Properties of WWER-Type Uranium-Water Lattices, vol. 2. Akadémiai Kiadó, Budepst (1994)

    Google Scholar 

  9. Habetler, G.J., Martino, M.A.: Existence theorems and spectral theory for the multigroup diffusion model. In: Nuclear Theory, pp. 127–139. AMS (1961)

    Google Scholar 

  10. Deniz, V.V.: The theory of neutron leakage in reactor lattices. In: CRC Handbook of Nuclear Reactors Calculations, vol. II, pp. 409–508. CRC (1986)

    Google Scholar 

  11. Stammler, R.J.J., Abbate, M.J.: Methods of Steady-State Reactors Physics in Nuclear Design. Academic, London (1983)

    Google Scholar 

  12. Bussac, J., Reuss P.: Traité de neutronique, Hermann, Paris (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mihály Makai .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Makai, M., Végh, J. (2017). Description of Core Power Distribution. In: Reactor Core Monitoring. Lecture Notes in Energy, vol 58. Springer, Cham. https://doi.org/10.1007/978-3-319-54576-9_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-54576-9_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54575-2

  • Online ISBN: 978-3-319-54576-9

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics