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Uncertainty quantification of PWR spent fuel due to nuclear data and modeling parameters

  • Ebiwonjumi, Bamidele (Department of Nuclear Engineering, Ulsan National Institute of Science and Technology) ;
  • Kong, Chidong (Department of Nuclear Engineering, Ulsan National Institute of Science and Technology) ;
  • Zhang, Peng (Department of Nuclear Engineering, Ulsan National Institute of Science and Technology) ;
  • Cherezov, Alexey (Department of Nuclear Engineering, Ulsan National Institute of Science and Technology) ;
  • Lee, Deokjung (Department of Nuclear Engineering, Ulsan National Institute of Science and Technology)
  • 투고 : 2020.04.06
  • 심사 : 2020.07.11
  • 발행 : 2021.03.25

초록

Uncertainties are calculated for pressurized water reactor (PWR) spent nuclear fuel (SNF) characteristics. The deterministic code STREAM is currently being used as an SNF analysis tool to obtain isotopic inventory, radioactivity, decay heat, neutron and gamma source strengths. The SNF analysis capability of STREAM was recently validated. However, the uncertainty analysis is yet to be conducted. To estimate the uncertainty due to nuclear data, STREAM is used to perturb nuclear cross section (XS) and resonance integral (RI) libraries produced by NJOY99. The perturbation of XS and RI involves the stochastic sampling of ENDF/B-VII.1 covariance data. To estimate the uncertainty due to modeling parameters (fuel design and irradiation history), surrogate models are built based on polynomial chaos expansion (PCE) and variance-based sensitivity indices (i.e., Sobol' indices) are employed to perform global sensitivity analysis (GSA). The calculation results indicate that uncertainty of SNF due to modeling parameters are also very important and as a result can contribute significantly to the difference of uncertainties due to nuclear data and modeling parameters. In addition, the surrogate model offers a computationally efficient approach with significantly reduced computation time, to accurately evaluate uncertainties of SNF integral characteristics.

키워드

과제정보

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT). (No. NRF-2019M2D2A1A03058371).

참고문헌

  1. J. Choe, S. Choi, P. Zhang, J. Park, W. Kim, H.C. Shin, H.S. Lee, J. Jung, D. Lee, Verification and validation of STREAM/RAST-K for PWR analysis, Nucl. Eng. Tech. 51 (2019) 356-368. https://doi.org/10.1016/j.net.2018.10.004
  2. N.N.T. Mai, P. Zhang, M. Lemaire, B. Ebiwonjumi, W. Kim, H. Lee, D. Lee, Extension of Monte Carlo code MCS to spent fuel cask shielding analysis, Int. J. Energy Res. (2020), https://doi.org/10.1002/er.5023.
  3. B. Ebiwonjumi, S. Choi, et al., Validation of lattice physics code STREAM for predicting pressurized water reactor spent nuclear fuel isotopic inventory, Ann. Nucl. Energy 120 (2018) 431-449. https://doi.org/10.1016/j.anucene.2018.06.002
  4. B. Ebiwonjumi, S. Choi, et al., Verification and validation of radiation source term capabilities in STREAM, Ann. Nucl. Energy 124 (2019) 80-87. https://doi.org/10.1016/j.anucene.2018.09.034
  5. B.T. Rearden, D.E. Mueller, S.M. Bowman, R.D. Busch, S.J. Emerson, TSUNAMI Primer: A Primer for Sensitivity/Uncertainty Calculations with SCALE, 2009.
  6. M. Williams, G. Ilas, et al., A statistical sampling method for uncertainty analysis with SCALE and XSUSA, Nucl. Technol. 183 (2013) 515-526. https://doi.org/10.13182/NT12-112
  7. W. Wieselquist, T. Zhu, A. Vasiliev, H. Ferroukhi, PSI methodologies for nuclear data uncertainty propagation with CASMO-5M and MCNPX: results for OECD/ NEA UAM benchmark phase I, Sci. Technol. Nucl. Install. (2013), https:// doi.org/10.1155/2013/549793.
  8. B. Krzykacz, E. Hofer, M. Kloos, A software system for probabilistic uncertainty and sensitivity analysis of results from computer models, in: Int. Conf. Probabilistic Safety Assessment and Management (PSAM-II), 1994. San Diego, California, March 20-25.
  9. D.A. Rochman, A. Vasilev, et al., Uncertainties for Swiss LWR spent nuclear fuels due to nuclear data, EPJ Nucl. Sci. Tech. 4 (2018) 1-13. https://doi.org/10.1051/epjn/2017031
  10. O. Leray, D. Rochmman, P. Grimm, et al., Nuclear data uncertainty propagation on spent fuel nuclide compositions, Ann. Nucl. Energy 94 (2016) 603-611. https://doi.org/10.1016/j.anucene.2016.03.023
  11. G. Ilas, H. Liljenfeldt, Decay heat uncertainty for BWR used fuel due to modeling and nuclear data uncertainties, G. Nucl. Eng. Des. 319 (2017) 176-184. https://doi.org/10.1016/j.nucengdes.2017.05.009
  12. D. Rochman, A. Vasiliev, H. Ferroukhi, et al., Best estimate plus uncertainty analysis for the 244Cm prediction in spent fuel characterization, in: ANS Best Estimate Plus Uncertainty International Conference (BEPU 2018), 2018. Real Collegio, Lucca, Italy, May 13 - 19.
  13. OECD/NEA, State of the Art Report on Spent Nuclear Fuel Assay Data for Isotopic Validation, Organization for Economic Cooperation and Development, Nuclear Energy Agency, Nuclear Science Committee, Working Party on Nuclear Criticality Safety, 2011. Technical Report NEA/NSC/WPNCS/DOC(2011) 5.
  14. K. Sargsyan, Surrogate models for uncertainty propagation and sensitivity analysis, in: R. Ghanem, D. Higdon, H. Owhadi (Eds.), Handbook of Uncertainty Quantification, Springer International Publishing, 2017, pp. 673-698. Switzerland.
  15. L. Gilli, D. Lathouwers, et al., Uncertainty quantification for criticality problems using non-intrusive and adaptive Polynomial Chaos techniques, Ann. Nucl. Energy 56 (2013) 71-80. https://doi.org/10.1016/j.anucene.2013.01.009
  16. Z. Perko, D. Lathouwers, et al., Large scale applicability of a fully adaptive non- intrusive spectral projection technique: sensitivity and uncertainty analysis of a transient, Ann. Nucl. Energy 71 (2014) 272-292. https://doi.org/10.1016/j.anucene.2014.03.035
  17. S. Marelli, B. Surety, UQLab: a framework for uncertainty quantification in Matlab, in: 2nd Int. Conf. On Vulnerability, Risk Analysis and Management (ICVRAM2014), 2014. Liverpool, United Kingdom, July 13-16.
  18. SKB, Measurements of Decay Heat in Spent Nuclear Fuel at Swedish Interim Storage Facility, CLAB. Svensk Karnbranslehantering AB (SKB), Swedish Nuclear Fuel and Waste Management Co., 2006, pp. R-05-62.
  19. S. Choi, C. Lee, D. Lee, Resonance treatment using pin-based pointwise energy slowing-down method, J. Comput. Phys. 330 (2017) 134-155. https://doi.org/10.1016/j.jcp.2016.11.007
  20. S. Choi, K. Smith, H.C. Lee, D. Lee, Impact of inflow transport approximation on light water reactor analysis, J. Comput. Phys. 299 (2015) 352-373. https://doi.org/10.1016/j.jcp.2015.07.005
  21. Akio Yamamoto, Kuniharu Kinoshita, Tomoaki Watanabe, Tomohiro Endo, Uncertainty quantification of LWR core characteristics using random sampling method, Nucl. Sci. Eng. 181 (2015) 160-174. https://doi.org/10.13182/NSE14-152
  22. S. Choi, C. Lee, D. Lee, Resonance self-shielding method using resonance interference factor library for practical lattice physics computations of LWRs, J. Nucl. Sci. Technol. 53 (2016) 1142-1154. https://doi.org/10.1080/00223131.2015.1095686
  23. S. Choi, H. Lee, S.G. Hong, D. Lee, Resonance self-shielding methodology of new neutron transport code STREAM, J. Nucl. Sci. Technol. 52 (2015) 1133-1150. https://doi.org/10.1080/00223131.2014.993738
  24. S. Marelli, B. Sudret, UQLAB User Manual - Polynomial Chaos Expansions, Chair of Risk, Safety & Uncertainty Quantification, ETH Zurich, 2019, pp. 2-104. Report UQLab-V1.
  25. S. Marelli, C. Lamas, K. Konakli, C. Mylonas, P. Wiederkehr, B. Sudret, UQLab User Manual - Sensitivity Analysis, Chair of Risk, Safety and Uncertainty Quantification, ETH Zurich, Switzerland, 2019, pp. 3-106. Report # UQLab-V1.
  26. G. Blatman, Adaptive Sparse Polynomial Chaos Expansions for Uncertainty Propagation and Sensitivity Analysis, (PhD Thesis), Universite Blaise Pascal, Clermont-Ferrand, 2009.
  27. B. Sudret, Global sensitivity analysis using polynomial chaos expansions, Reliab. Eng. Syst. Saf. 93 (2008) 964-979. https://doi.org/10.1016/j.ress.2007.04.002
  28. R. Macian, M.A. Zimmermann, R. Chawla, Statistical uncertainty analysis applied to fuel depletion calculations, J. Nucl. Sci. Technol. 44 (2007) 875-885. https://doi.org/10.1080/18811248.2007.9711325
  29. S. Marelli, B. Sudret, An active-learning algorithm that combines sparse polynomial chaos expansion and bootstrap for structural reliability analysis, Struct. Saf. 75 (2018) 67-74. https://doi.org/10.1016/j.strusafe.2018.06.003

피인용 문헌

  1. Analysis for the ARIANE GU3 sample: nuclide inventory and decay heat vol.7, 2021, https://doi.org/10.1051/epjn/2021013
  2. Bayesian method and polynomial chaos expansion based inverse uncertainty quantification of spent fuel using decay heat measurements vol.378, 2021, https://doi.org/10.1016/j.nucengdes.2021.111158
  3. On the use of criticality and depletion benchmarks for verification of nuclear data vol.161, 2021, https://doi.org/10.1016/j.anucene.2021.108415
  4. Comparison of nuclear data uncertainties with other nuclear fuel cycle uncertainty sources vol.45, pp.12, 2021, https://doi.org/10.1002/er.6992