Cross-section adjustment method based on Bayesian theory for specific cross-section set

References

• Bratton RN, Ivanov KN, Jessee MA, et al. Bias and uncertainty assessment of pressurized water reactor fuel isotopics using SCALE. In: Proc. PHYSOR, 2014 Sep 28-Oct 28-Oct 3. Kyoto: Japan Atomic Energy Agency (JAEA); 2014.
   Google Scholar
• Yamamoto A, Kinoshita K, Watanabe T, et al. Uncertainty quantification of LWR core characteristics using random sampling method. Nucl Sci Eng. 2015;181(2):160–174. .
   Web of Science ®Google Scholar
• Fujita T, Sakai T. Uncertainty analysis of the OECD/NEA LWR UAM benchmark Phase I using CASMO5 with JENDL-4.0 and ENDF/B-VII.1. J Nucl Sci Technol. 2020;57(7):858–873.
   Web of Science ®Google Scholar
• Shibata K, Iwamoto O, Nakagawa T, et al. JENDL-4.0: a new library for nuclear science and technology. J Nucl Sci Technol. 2011;48(1):1–30. .
   Web of Science ®Google Scholar
• Chadwick MB, Herman M,, Obložinský P, et al. ENDF/B-VII.1 nuclear data for science and technology: cross sections, covariances, fission product yields and decay data. Nucl Data Sheets. 2011;112(12):2887–2996.
   Google Scholar
• Takeda T, Takeda S, Koike H, et al. An estimation of cross-section covariance data suitable for predicting neutronics parameters uncertainty. Ann Nucl Energy. 2020;145:107534.
   Web of Science ®Google Scholar
• Cecchini G, Farinelli A, Gandini A, et al. Analysis of integral data for few-group parameter evaluation of fast reactors. In: Proc. 3rd Int. Conf. Peaceful uses atomic energy; Aug 31-Sep 9; Geneva, Switzerland; 1964.  p. 388–397.
   Google Scholar
• Humi M, Wagschal JJ, Yeivin Y. Multi-group constants from integral data. In: Proc. 3rd Int. Conf. Peaceful uses atomic energy; Aug 31-Sep 9; Geneva, Switzerland; 1964. p. 398-402.
   Google Scholar
• Dragt JB. Statistical considerations on techniques for adjustment of differential cross sections with measured integral parameters. STEK. Nederland: The Fast-Thermal Coupled Facility of RCN at Petten; 1970. ( RCN–122).
   Google Scholar
• Mitani H, Kuroi H. Adjustment of group cross sections by means of integral data, (I) theoretical study. J Nucl Sci Technol. 1972;9(7):383–394.
   Web of Science ®Google Scholar
• Mitani H, Kuroi H. Adjustment of group cross sections by means of integral data, (II) numerical study. J Nucl Sci Technol. 1972;9(11):642–657.
   Web of Science ®Google Scholar
• Gandini A, Petilli M, Salvatores M. Nuclear data and integral measurement correlation for fast reactors. statistical formulation and analysis of methods. In: The Consistent Approach. Proc. Int. Symposium on physics of fast reactors. Tokyo: Japan; 1973 Oct. p. 16–19.
   Google Scholar
• Dragt JB, Dekker JWM, Gruppelaar H, et al. Methods of adjustment and error evaluation of neutron capture cross sections; application to fission product nuclides. Nucl Sci Eng. 1977;62(1):117–129. .
   Web of Science ®Google Scholar
• Takeda T, Yoshimura A, Kamei T, et al. Prediction uncertainty evaluation methods of core performance parameters in large liquid-metal fast breeder reactors. Nucl Sci Eng. 1989;103(2):157–165. .
   Web of Science ®Google Scholar
• Yokoyama K, Ishikawa M, Kugo T. Extended cross-section adjustment method to improve the prediction accuracy of core parameters. J Nucl Sci Technol. 2012;49(12):1165–1174.
   Web of Science ®Google Scholar
• Yokoyama K, Yamamoto A. Cross-section adjustment methods based on minimum variance unbiased estimation. J Nucl Sci Technol. 2016;53(10):1622–1638.
   Web of Science ®Google Scholar
• Yokoyama K, Yamamoto A, Kitada T. Dimension-reduced cross-section adjustment methods based on minimum variance unbiased estimation. J Nucl Sci Technol. 2018;55(3):319–334.
   Web of Science ®Google Scholar
• Salvatores M, Palmiotti G, McKnight RD, et al. Methods and issues for the combined use of integral experiments and covariance data. Paris, France: OECD/NEA; 2013. (NEA/NSC/WPEC/DOC(2013)445.
   Google Scholar
• Palmiotti G, Salvatores M, Aliberti G. A-priori and a-posteriori covariance data in nuclear cross section adjustments: issues and challenges. Nucl Data Sheets. 2015;123:41–50.
   Google Scholar
• Eric B, Dimitri AR. Cross-observables and cross-isotopes correlations in nuclear data from integral constraints. EPJ Nucl Sci Technol. 2018;4:35.
   Web of Science ®Google Scholar
• Takeda S, Kitada T. Individual adjustment of independent cross-section set based on Bayesian theory. Nucl Sci Eng. 2020:1–13 Published online. doi: https://doi.org/10.1080/00295639.2020.1833601
   Google Scholar
• Lu TT, Shiou SH. Inverse of 22 block matrices, Computers and Mathematics with Applications. Vol. 43. Elsevier; 2002. p. 119–129. https://doi.org/https://doi.org/10.1016/S0898-1221(01)00278-4.
   Google Scholar
• Organisation for Economic Co-operation and Development/Nuclear Energy Agency (OECD/NEA). International handbook of evaluated criticality safety benchmark experiments. Paris: OECD/NEA; 2016. ( NEA/NSC/DOC)(95)03.
   Google Scholar
• Rearden BT, Jesee MA, ed SCALE code system, ORNL/TM-2005/39, version 6.2. Oak Ridge (TN): Oak Ridge National Laboratory; 2016.
   Google Scholar