caa a22 4500 606151303 CHVBK 20210128100543.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10512-014-9903-3 doi (NATIONALLICENCE)springer-10.1007/s10512-014-9903-3 Analysis of the Effect of Different Types of Errors on the Accuracy of Calculations of the Number of Reactions in Individual Volumes of the Core of a Water Cooled and Moderated Power Reactor [Elektronische Daten] [A. Klimov, I. Suslov, I. Tormyshev, A. Knyazev, A. Kvaratskheli] A method and numerical algorithm for evaluating the computational errors in calculating the number of fission rates in small individual volumes of a reactor core, viz., fuel element, group of fuel elements, fuel assemblies, are presented. The standard error was determined by a combination of the methods of the statistical theory of errors and linear perturbation theory. An algorithm developed for calculating the value function, sensitivity coefficients, and errors of functionals which is based on the use of the MCCG3D, TRIFON, and ERRORJ software is described. The standard error, due to, for example, the relative error ~1% (over the volume of a fuel element) in the microscopic fission and total cross section, of the computed fission rate in the most stressed fuel element in fuel assembly No. 10 PWR (ALMARAZ II, Spain), is evaluated as an example. The standard error of the fission reactions in this case is εƒ,235U = 5.573·10-3, εƒ,239Pu = 1.193·10-3, i.e., the total error is ~0.67%. For other isotopes, it is hundredths of a percent, i.e., approximately equal to its computational error. For the technological error ±1.2% of the density of the loaded PWR uranium-dioxide fuel, the computed uncertainty in the number of fissions is ±0.93%, and for the uncertainty ±0.5% in the fuel enrichment the error in the number fissions will be ±1.5%. Springer Science+Business Media New York, 2014 Klimov A. Research and Development Institute of Power Engineering (NIKIET), Moscow, Russia aut Suslov I. Information Center for Technical Support (ITsTP), Moscow, Russia aut Tormyshev I. State Science Center of the Russian Federation - Institute for Physics and Power Engineering (GNTs RF - FEI), Obninsk, Russia aut Knyazev A. State Science Center of the Russian Federation - Institute for Theoretical and Experimental Physics (GNTs RF - ITEF), Moscow, Russia aut Kvaratskheli A. State Science Center of the Russian Federation - Institute for Theoretical and Experimental Physics (GNTs RF - ITEF), Moscow, Russia aut Atomic Energy Springer US; http://www.springer-ny.com 117/3(2015-01-01), 149-155 1063-4258 117:3<149 2015 117 10512 https://doi.org/10.1007/s10512-014-9903-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10512-014-9903-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Klimov A. Research and Development Institute of Power Engineering (NIKIET), Moscow, Russia aut NATIONALLICENCE 700 1- Suslov I. Information Center for Technical Support (ITsTP), Moscow, Russia aut NATIONALLICENCE 700 1- Tormyshev I. State Science Center of the Russian Federation - Institute for Physics and Power Engineering (GNTs RF - FEI), Obninsk, Russia aut NATIONALLICENCE 700 1- Knyazev A. State Science Center of the Russian Federation - Institute for Theoretical and Experimental Physics (GNTs RF - ITEF), Moscow, Russia aut NATIONALLICENCE 700 1- Kvaratskheli A. State Science Center of the Russian Federation - Institute for Theoretical and Experimental Physics (GNTs RF - ITEF), Moscow, Russia aut NATIONALLICENCE 773 0- Atomic Energy Springer US; http://www.springer-ny.com 117/3(2015-01-01), 149-155 1063-4258 117:3<149 2015 117 10512