Nonlinear Dynamics and Chaos in Boiling Water Reactors

  • Jose March-Leuba


There are currently 72 commercial boiling water reactors (BWRs) in operation or under construction in the Western world, 37 of them in the United States. Consequently, a great effort has been devoted to the study of BWR systems under a wide range of plant operating conditions. This paper represents a contribution to this ongoing effort; its objective is to study the basic dynamic processes in BWR systems, with special emphasis on the physical interpretation of BWR dynamics. The main thrust in this work is the development of phenomenological BWR models suited for analytical studies performed irr conjunction with numerical calculations. This approach leads to a deeper understanding of BWR dynamics and facilitates the interpretation of numerical results given by currently available sophisticated BWR codes.


Equilibrium Point Feedback Gain Nonlinear Regime Fuel Temperature Limit Cycle Oscillation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Y. Waaranpera and S. Anderson, “BWR Stability Testing: Reaching the Limit Cycle Threshold at Natural Circulation,” Trans. Am. Nucl. Soc., 39:868 (1981).Google Scholar
  2. 2.
    S.A. Sandoz and S. F. Chen, “Vermont Yankee Stability Tests During Cycle 8,” Trans. Am. Nucl. Soc., 45:727 (1983).Google Scholar
  3. 3.
    J. March-Leuba, D. G. Cacuci, and R. B. Perez, “Nonlinear Dynamics and Stability of BWRs: Part 1-Qualitative Analysis” and “Part 2-Quantitative Analysis,” Nucl. Sci. Eng., 93:111–136 (1986).Google Scholar
  4. 4.
    J. March-Leuba, “Dynamic Behavior of Boiling Water Reactors,” PhD Dissertation, The University of Tennessee, Knoxville, Tennessee (1984).Google Scholar
  5. 5.
    M. J. Feigenbaum, “The Transition to Aperiodic Behavior in Turbulent Systems,” Commun. Math. Phys., 77:65 (1980).MathSciNetADSCrossRefMATHGoogle Scholar
  6. 6.
    J. March-Leuba, R. T. Wood, P. J. Otaduy, and C. O. McNew, “Stability Tests at Browns Ferry Unit 1 Under Single Loop Operating Conditions,” Nucl. Technol., 74:38–52 (1986).Google Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • Jose March-Leuba
    • 1
  1. 1.Instrumentation and Controls DivisionOak Ridge National LaboratoryOak RidgeUSA

Personalised recommendations