In-Phase and Out-of-Phase Oscillations in BWRs: Impact of Azimuthal Asymmetry and Second Pair of Eigenvalues

REFERENCES

• K. VALTONEN, “RAMONA-3B and TRAB Assessment Using Oscillation Data from TVO I,” Proc. OECD/CSNI Int. Workshop Boiling Water Reactor Stability, Holtsville, New York, October 17-19, 1990, Organization for Economic Cooperation and Development.
   Google Scholar
• E. GIALDI, S. GRIFONI, C. PARMEGGIANI, and C. TRICOLI, “Core Stability in Operating BWR: Operational Experience,” Prog. Nucl. Energy, 15, 447 (1985).
   Web of Science ®Google Scholar
• G. MURPHY, “Selected Safety-Related Events: Summary of AEOD Special Report S803: Power Oscillation at LaSalle 2,” Nucl. Safety, 29, 3, 356 (1988).
   Google Scholar
• Y. M. FARAWILA, D. W. PRUITT, and P. E. SMITH, “Analysis of the Laguna Verde Instability Event,” Proc. National Heat Transfer Conf., Houston, Texas, August 3-6, 1996, p. 198, American Nuclear Society (1996).
   Google Scholar
• R. MIRÓ, D. GINESTAR, D. HANNIG, and G. VERDÚ, “On the Regional Oscillation Phenomena in BWRs,” Prog. Nucl. Energy, 36, 2, 189 (2000).
   Google Scholar
• B. G. BERGDAHL, F. REISCH, R. OGUMA, J. LOREN-ZEN, F. AKERHIELM, “BWR Stability Investigation at Fors-mark 1,” Ann. Nucl. Energy, 16, 10, 509 (1989).
   Web of Science ®Google Scholar
• T. H. J. J. VAN DER HAGEN, A. J. C. STEKELENBURG, and D. D. B. VAN BRAGT, “Reactor Experiments on Type-I and Type-II BWR Stability,” Nucl. Eng. Des., 200, 177 (2000).
   Web of Science ®Google Scholar
• J. MARCH-LEUBA and J. REY, “Coupled Thermal Hydraulic Neutronic Instabilities in Boiling Water Nuclear Reactors: A Review of the State of the Art,” presented at OECD Committee Mtg. Safety of Nuclear Instabilities, Karlsruhe, Germany, April 1-3, 1992.
   Google Scholar
• Y. TAKIGAWA, Y. TAKEUCHI, S. TSUNOYAMA, S. EBATA, K. CHAN, and C. TRICOLI, “Caorso Limit Cycle Oscillation Analysis with Three-Dimensional Transient Code TOSDYN-2,” Nucl. Technol., 79, 210 (1987).
   Web of Science ®Google Scholar
• F. ARAYA, K. YOSHIDA, M. HIRANO, and Y. YABU-SHITA, “Analysis of a Neutron Flux Oscillation Event at LaSalle-2,” Nucl. Technol., 93, 82 (1991).
   Web of Science ®Google Scholar
• D. HENNIG, “A Study on Boiling Water Reactor Stability Behavior,” Nucl. Technol., 126, 10 (1997).
   Google Scholar
• J. MARCH-LEUBA, D. G. CACUCI, and R. B. PEREZ, “Nonlinear Dynamics and Stability of Boiling Water Reactors: Part I-Qualitative Analysis,” Nucl. Sci. Eng., 93, 111 (1986).
   Web of Science ®Google Scholar
• P. J. OTADUY, “Modeling of the Dynamic Behavior of Large BWR Cores,” PhD Thesis, University of Florida (1979).
   Google Scholar
• J. MARCH-LEUBA and E. D. BLAKEMAN, “A Mechanism for Out-of-Phase Power Instabilities in Boiling Water Reactors,” Nucl. Sci. Eng., 107, 173 (1991).
   Web of Science ®Google Scholar
• A. A. KARVE, RIZWAN-UDDIN, and J. J. DORNING, “Out of Phase Power Oscillations in Boiling Water Reactors,” Proc. Joint Int. Conf. Mathematical Methods and Super-Computing, Saratoga Springs, New York, October 5-9, 1997, Vol. 2, p. 1633 (1997).
   Google Scholar
• A. A. KARVE, “Nuclear-Coupled Thermal-Hydraulic Stability Analysis of Boiling Water Reactors,” PhD Dissertation, University of Virginia (1999).
   Google Scholar
• J. L. MUÑOZ-COBO, R. B. PEREZ, D. GINESTAR, A. ESCRIVA, and G. VERDÚ, “Non-Linear Analysis of Out of Phase Oscillations in Boiling Water Reactors,” Ann. Nucl. Energy, 23, 16, 1301 (1996).
   Google Scholar
• J. L. MUÑOZ-COBO, O. ROSELLO, R. MIRÓ, A. ES-CRIVA, D. GINESTAR, and G. VERDÚ, “Coupling of Density Wave Oscillations in Parallel Channels with High Order Modal Kinetics: Application to BWR Out of Phase Oscillations,” Ann. Nucl. Energy, 17, 1345 (2000).
   Google Scholar
• M. TSUJI, K. NISHIO, and M. NARITA, “Stability Analysis of BWRs Using Bifurcation Theory,” J. Nucl. Sci. Technol., 30, 1107 (1993).
   Web of Science ®Google Scholar
• J. L. MUÑOZ-COBO and G. VERDÚ, “Application of Hopf Bifurcation Theory and Variational Methods to the Study of Limit Cycles in Boiling Water Reactors,” Ann. Nucl. Energy, 18, 5, 269 (1991).
   Web of Science ®Google Scholar
• B. D. HASSARD, N. D. KAZARINOFF, and Y. H. WAN, Theory and Applications of Hopf Bifurcation, Cambridge University Press, New York (1981).
   Google Scholar
• A. H. NAYFEH and B. BALACHANDRAN, Applied Nonlinear Dynamics, John Wiley & Sons, New York (1995).
   Google Scholar
• B. D. HASSARD, “A Code for Bifurcation Analysis of Autonomous Delay-Differential Systems,” Proc. Oscillation, Bifurcation and Chaos, p. 447, Canadian Mathematical Society (1987).
   Google Scholar
• G. VERDU, D. GINESTAR, V. VIDAL, and R. MIRO, “Modal Decomposition Method for BWR Stability Analysis,” J. Nucl. Sci. Technol., 35, 8, 538 (1998).
   Google Scholar
• RIZWAN-UDDIN, “Sub- and Supercritical Bifurcation and Turning Points in a Simple BWR Model,” Proc. Int. Topl. Mtg. Advances in Reactor Physics and Mathematics, Pittsburgh, Pennsylvania, May 7-11, 2000, American Nuclear Society (2000).
   Google Scholar