A systematic error is present in reactor calculations performed with the aid of the MCU-code. This paper introduces an algorithm that in calculations by the series method makes it possible to determine the number of neutron generations in the NBAT series and the number of neutrons in the NTOT generation, which reduces the systematic error in the calculation of functionals and their variances. The described procedure includes determining the NBAT-dependence of the standard deviation, repeated calculations of the required functional to refi ne and correct NBAT, and calculations to refi ne NTOT. The algorithm is demonstrated on the example of calculating the effective multiplication factor and fission reaction rates for the VVER-1000 unit cell model with the fuel column divided into 10 layers along the height. It is shown that in order to significantly reduce the systematic error of the local rate of fission reactions it is necessary to play more than 1000 particles in each series and variances in more than 200 series in each neutron generation.
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Bogdanovich, R.B., Gerasimov, A.S. & Tikhomirov, G.V. Reduction of the Systematic Error of the Monte Carlo Method in MCU-Aided Calculations of Nuclear Reactors. At Energy 132, 331–336 (2022). https://doi.org/10.1007/s10512-023-00955-y
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DOI: https://doi.org/10.1007/s10512-023-00955-y