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Technical Paper

Deterministic and Stochastic Evaluation of Criticality Excursion Power Bursts

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Pages 265-277 | Published online: 12 May 2017

References

  • M. ASH, Nuclear Reactor Kinetics, McGraw-Hill, New York (1965).
  • D. L. HETRICK, Dynamics of Nuclear Reactors, The University of Chicago Press, Chicago (1971).
  • K. O. OTT and R. J. NEUHOLD, Introductory Nuclear Reactor Dynamics, American Nuclear Society, La Grange Park, Illinois (1985).
  • G. I. BELL and S. GLASSTONE, Nuclear Reactor Theory, Van Nostrand Reinhold Company, New York (1970).
  • A. F. HENRY, Nuclear-Reactor Analysis, The MIT Press, Cambridge (1975).
  • W. M. STACEY, Nuclear Reactor Physics, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim (2004).
  • A. F. HENRY, “The Application of Reactor Kinetics to the Analysis of Experiments,” Nucl. Sci. Eng., 3, 52 (1958).
  • J. LEWINS, “Variational Representations in Reactor Physics Derived from a Physical Principle,” Nucl. Sci. Eng., 8, 95 (1960).
  • M. BECKER, “A Generalized Formulation of Point Nuclear Reactor Kinetics Equations,” Nucl. Sci. Eng., 31, 458 (1968).
  • K. FUCHS, “Efficiency for Very Slow Assembly,” LA-596, Los Alamos National Laboratory (1946).
  • G. E. HANSEN, “Burst Characteristics Associated with the Slow Assembly of Fissionable Materials,” LA-1441, Los Alamos National Laboratory (1952).
  • G. E. HANSEN, “Assembly of Fissionable Material in the Presence of a Weak Neutron Source,” Nucl. Sci. Eng., 8, 709 (1960).
  • F. NORELLI, V. M. JORIO, and N. PACILIO, “Stochastic Kinetics: Analytical Solutions of Detailed Probability Balance Equations,” Ann. Nucl. Energy, 2, 67 (1975).
  • R. P. FEYNMAN, “Statistical Behavior of Neutron Chains,” LA-591 (DEL), Los Alamos National Laboratory (1946).
  • D. R. HARRIS, “Analysis of Reactor Fluctuations,” Trans. Am. Nucl. Soc, 4, 2, 317 (1961).
  • J. G. HAYES and E. J. ALLEN, “Stochastic Point-Kinetics Equations in Nuclear Reactor Dynamics,” Ann. Nucl. Energy, 32, 572 (2005).
  • G. I. BELL, W. A. ANDERSON, and D. GALBRAITH, “Probability Distribution of Neutrons and Precursors in Multiplying Medium, II,” Nucl. Sci. Eng., 16, 118 (1963).
  • H. HURWITZ, Jr., et al., “Kinetics of Low Source Reactor Startups. Part I,” Nucl. Sci. Eng., 15, 166 (1963).
  • H. HURWITZ, Jr., et al., “Kinetics of Low Source Reactor Startups. Part II,” Nucl. Sci. Eng., 15, 187 (1963).
  • D. B. MACMILLAN and M. L. STORM, “Kinetics of Low Source Reactor Startups—Part III,” Nucl. Sci. Eng., 16, 369 (1963).
  • G. A. CAMPBELL, V. CHAN, and J. D. LEWINS, “An Exact Special Case Solution of the Neutron Stochastic Equations at Low Power,” Ann. Nucl. Energy, 8, 1 (1981).
  • S. D. NOLEN, “The Chain-Length Distribution in Subcritical Systems,” LA-13721-T, Los Alamos National Laboratory (2000).
  • W. L. MYERS, “A Stochastic, Four Energy Group Model of a Nuclear Assembly,” PhD Thesis, University of Illinois at Urbana-Champaign (1995).
  • S. D. RAMSEY, “The Extinction Probabilities of Nuclear Assemblies: A Sensitivity Study,” PhD Thesis, University of Illinois at Urbana-Champaign (2009).
  • J. L. HILL, “Advances in the Theory of Persistent Neutron Chains,” Ph.D. Thesis, University of Illinois at Urbana-Champaign (1998).
  • G. I. BELL, “Probability Distribution of Neutrons and Precursors in a Multiplying Assembly,” Ann. Phys. (N.Y.), 21, 243 (1963).
  • D. E. HANKINS, “Effect of Reactivity Addition Rate and of Weak Neutron Source on the Fission Yield of Uranium Solutions,” Nucl. Sci. Eng., 26, 110 (1966).
  • D. G. CACUCI, Sensitivity and Uncertainty Analysis: Theory, Chapman & Hall/CRC, Boca Raton, Florida (2003).
  • D. G. CACUCI, M. IONESCU-BUJOR, and I. M. NAVON, Sensitivity and Uncertainty Analysis: Applications to Large-Scale Systems, Chapman & Hall/CRC, Boca Raton, Florida (2005).
  • G. D. SPRIGGS, R. D. BUSCH, K. J. ADAMS, D. K. PARSONS, L. PETRIE, and J. S. HENDRICKS, “On the Definition of Neutron Lifetimes in Multiplying and Non-Multiplying Systems,” LA-UR-97-1073, Los Alamos National Laboratory (1997).
  • Handbook of Mathematical Functions, M. ABRAMOWITZ, and A. STEGUN, Eds., Dover Publications, Inc., New York (1965).
  • J. D. LEWINS, “Variational Method in Neutron Stochastics,” Ann. Nucl. Energy, 5, 141 (1978).
  • F. CARLONI and M. MARSEGUERRA, “Influence of the Quadratic Approximation on the Moments of the Neutron and Count Distributions in a Multiplying System,” Ann. Nucl. Energy, 6, 327 (1979).
  • M. M. R. WILLIAMS, “An Exact Solution of the Extinction Problem in Supercritical Multiplying Systems,” Ann. Nucl. Energy, 6, 463 (1979).
  • J. D. LEWINS, “Stochastic Distribution of Prompt Neutrons in a Super-Critical Reactor,” Ann. Nucl. Energy, 8, 15 (1981).
  • G. T. PARKS and J. D. LEWINS, “An Exact Transient Stochastic Solution for Low-Power Neutron Multiplication,” Ann. Nucl. Energy, 12, 2, 65 (1985).
  • R. V. HOGG and E. A. TANIS, Probability and Statistical Inference, Pearson Prentice Hall, Upper Saddle River, New Jersey (2006).
  • J. D. ORNDOFF, “Prompt Neutron Periods of Metal Critical Assemblies,” Nucl. Sci. Eng., 2, 450 (1957).
  • N. E. HOLDEN and M. S. ZUCKER, “A Re-Evaluation of the Average Prompt Neutron Emission Multiplicity (Nubar) Values from Fission of Uranium and Transuranium Nuclides,” BNL-NCS-35513-R, Brookhaven National Laboratory (1986).
  • Netlib Repository at The University of Tennessee-Knoxville and Oak Ridge National Laboratory; http://www.netlib.org (current as of February 18, 2010).
  • B. MECHITOUA, “Tokaimura Criticality Accident: Point Model Stochastic Neutronic Interpretation,” Trans. Am. Nucl. Soc, 84, 289 (2001).
  • T. P. MCLAUGHLIN, S. P. MONAHAN, N. L. PRUVOST, V. V. FROLOV, B. G. RYAZANOV, and V. I. SVIRIDOV, “A Review of Criticality Accidents, 2000 Revision,” LA-13638, Los Alamos National Laboratory (2000).

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