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1 2015

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Depletion uncertainties propagation for replica calculations in the lead cooled fast reactor

Stanisz P., Oettingen M., Kępisty G.

Logistyka

2015

nr 4

9794--9804, CD3

Most Monte Carlo codes are used to determine certain values with their uncertainty accompanying through stochastic process. Those estimations are crucial information to determine the logistics of frontend and the back-end of nuclear chain supply management. Monte Carlo method simulate physics interactions, where correct results can be obtained if users is running a sufficient number of neutron histories adequately to sample all significant regions of the problem. The code by using internal random walks of neutrons is able to estimate a nuclear parameter k-eff (multiplication factor) and fission source distribution responsible for the ratio of new neutrons generation in the following step. Each neutron generation converges to the fix distribution, which can be characterized by Shannon entropy. Tallies of k-eff and spatial reaction rates starts accumulated information after adjusted cut-off step. However, convergence can stop at some level causing neutron distribution tilt and introducing influence to the reaction rate. Locally slightly different power distribution can occurs resulting in slightly different density evolution of the isotopes. In this paper we apply technics of multi “independent replicas” calculations. The ide based on many simulations of the same system using different random sequences to obtain slightly various solutions which will allows us to build any probability density function. Statistical analysis of the results would allow assessing the uncertainties in the calculated isotopes densities. In this work we examine multi recycle scheme in the fast neutron spectrum based on The Lead-cooled Fast Reactor (LFR) defined and studied at the level of technical design in order to demonstrate its propagation of isotopes evolutions together with uncertainties and highlight systematic errors, due to the number of simulated particles. All simulated aspect has to be considered while performing Monte Carlo burnup simulations.