Numerical solution to reduce fluctuations in nuclear reactivity

In this work, the problem of reducing fluctuations in the calculation of reactivity by beams of the exponential filter is solved. To discretize the historical of neutron density, the Euler-Maclaurin formula is used with an approximation of the first Bermouli number. The different numerical experiments are carried out with the proper physical constants for ²³⁵U. To simulate fluctuations in real situations that are present in a nuclear reactor, Gaussian noise is used around a mean value of the neutron density with a standard deviation that is set at σ = 0.001 and the step size in the reactivity calculation in set at Τ = 0.1s. (author)