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Fourier transform with exponential filter for the reduction of fluctuations in the nuclear reactivity calculation

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Title: Fourier transform with exponential filter for the reduction of fluctuations in the nuclear reactivity calculation

Authors: Daniel Suescún-Díaz, Freddy Humberto Escobar, D. Peña Lara

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2020

Volume: 15

Issue: 16

Language: English

Categories
Fourier Transform (2) Nuclear Reactors (7) Reactivity Calculation (9) Computational Physics (89) Nuclear Engineering (129)

Abstract

This study uses the Fast Fourier Transform method for the calculation of reactivity; this method approximates the integral of the inverse point kinetic equation as a product of convolution between the neutron population density and the function of the unitary impulse that depends on the physical constants of the system. Considering that the reactivity values are caused by fluctuations in neutron density, these fluctuations can be simulated with a Gaussian distribution around an average value for neutron density. The exponential filter is used by means of a least squares adjustment for reducing the aforementioned fluctuations.

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