114
Views
21
CrossRef citations to date
0
Altmetric
Technical Paper

Sensitivity and Uncertainty Analysis for Eigenvalue-Difference Responses

Pages 18-36 | Published online: 10 Apr 2017

REFERENCES

  • E. P. WIGNER, Effects of Small Perturbations on Pile Period, CP-3048, Manhattan Project Report (1945).
  • L. N. USACHEV, “Perturbation Theory for the Breeding Ratio and Other Number Ratios Pertaining to Various Reactor Processes,” J. Nucl. Energy, Parts A/B, 18, 571 (1964).
  • M. L. WILLIAMS, “Development of Depletion Perturbation Theory for Coupled Neutron/Nuclide Fields,” Nucl. Sci. Eng., 70, 20 (1979).
  • J. H. MARABLE, C. R. WEISBIN, and G. DE SAUS-SURE, “Uncertainty in the Breeding Ratio of a Large Liquid-Metal Fast Breeder Reactor: Theory and Results,” Nucl. Sci. Eng., 75, 30 (1980).
  • D. G. CACUCI, “Sensitivity for Non-Linear Systems: Nonlinear Functional Analysis Approach,” J. Math. Phys., 22, 12 (1981).
  • B. L. BROADHEAD, B. T. REARDEN, C. M. HOPPER, J. J. WAGSCHAL, and C. V. PARKS, “Sensitivity- and Uncertainty-Based Criticality Safety Validation Techniques,” Nucl. Sci. Eng., 146, 340 (2004).
  • S. GOLUOGLU, C. M. HOPPER, and B. T. REARDEN, “Extended Interpretation of Sensitivity Data for Benchmark Areas of Applicability,” Trans. Am. Nucl. Soc., 88, 77 (2003).
  • “SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations,” ORNL/TM-2005039, Version 5, Vols. I–III (Apr. 2005); see also CCC-725, Radiation Safety Information Computational Center at Oak Ridge National Laboratory.
  • B. T. REARDEN, “TSUNAMI-1D: Control Module for One-Dimensional Cross-Section Sensitivity and Uncertainty Analysis for Criticality,” in “SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations,” ORNL/TM-2005039, Vol. I, Book 2, Sec. C8, Oak Ridge National Laboratory (2005).
  • B. T. REARDEN, “TSUNAMI-3D: Control Module for Three-Dimensional Cross Section Sensitivity and Uncertainty Analysis for Criticality,” in “SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations,” ORNL/TM-2005039, Vol. I, Book 2, Sec. C9, Oak Ridge National Laboratory (2005).
  • B. T. REARDEN, “SAMS: Sensitivity Analysis Module for SCALE,” in “SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations,” ORNL/TM-2005039, Vol. II, Book 4, Sec. F22, Oak Ridge National Laboratory (2005).
  • M. L. WILLIAMS, “Perturbation Theory for Nuclear Reactor Analysis,” CRC Handbook of Nuclear Reactors Calculations, Vol. III, CRC Press, Inc., Boca Raton, Florida (1986).
  • A. GANDINI, “A Generalized Perturbation Method for Bilinear Functionals of the Real and Adjoint Neutron Fluxes,” J. Nucl. Energy, 21, 755 (1967).
  • W. M. STACY, Variational Methods in Nuclear Reactor Physics, Academic Press, Oxford (1974).
  • A. GANDINI, G. PALMIOTTI, and M. SALVATORES, “Equivalent Generalized Perturbation Theory (EGPT),” Ann. Nucl. Energy, 13, 109 (1986).
  • E. GREENSPAN, “Sensitivity Functions for Uncertainty Analysis,” Advances in Nuclear Science and Technology, Vol. 14: Sensitivity Analysis of Reactor Performance Parameters, J. LEWIS and M. BECKER, Eds., Plenum Press, New York (1982).
  • M. L. WILLIAMS, B. L. BROADHEAD, and C. V. PARKS, “Eigenvalue Sensitivity Theory for Resonance-Shielded Cross Sections,” Nucl. Sci. Eng., 138, 177 (2001).
  • B. T. REARDEN, M. L. WILLIAMS, and J. E. HORWEDEL, “Advances in TSUNAMI Sensitivity and Uncertainty Analysis Codes Beyond SCALE-5,” Trans. Am. Nucl. Soc., 92, 760 (June 2005).
  • N. M. GREENE, “BONAMI: Resonance Self-Shielding by the Bondarenko Method,” in “SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations,” ORNL/TM-2005039, Vol. II, Book 1, Sec. F1, Oak Ridge National Laboratory (2005).
  • N. M. GREENE, “NITAWL-III: Scale System Module for Performing Resonance Self-Shielding and Working Library Production,” in “SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations,” ORNL/TM-2005039, Vol. II, Book 1, Sec. F2, Oak Ridge National Laboratory (2005).
  • N. M. GREENE, “XSDRNPM: A One-Dimensional Discrete Ordinates Code for Transport Analysis,” in “SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations,” ORNL/TM-2005039, Vol. II, Book 1, Sec. F3, Oak Ridge National Laboratory (2005).
  • L. M. PETRIE, N. F. LANDERS, D. F. HOLLENBACH, and B. T. REARDEN, “KENO V.a: An Improved Monte Carlo Criticality Program,” in “SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations,” ORNL/TM-2005039, Vol. II, Book 2, Sec. F11, Oak Ridge National Laboratory (2005).
  • B. T. REARDEN, “Sensitivity Utility Modules,” in “SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations,” ORNL/TM-2005039, Vol. III, Sec. M18, Oak Ridge National Laboratory (2005).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.