Novel fluctuation reduction procedure for nuclear reactivity calculations based on the discrete fourier transform method

A new method for calculating nuclear reactivity based on the Discrete Fourier Transform (DFT) – with two filters: a first-order delay low-pass filter and a Savitzky-Golay filter – is presented. The reactivity is calculated from an integrodifferential equation known as the inverse point kinetic equat...

Full description

Autores:
Suescún-Díaz, Daniel
Lozano Parada, Jaime Humberto
Rasero, Diego
Tipo de recurso:
Article of journal
Fecha de publicación:
2019
Institución:
Universidad Autónoma de Occidente
Repositorio:
RED: Repositorio Educativo Digital UAO
Idioma:
eng
OAI Identifier:
oai:red.uao.edu.co:10614/11498
Acceso en línea:
http://hdl.handle.net/10614/11498
https://doi.org/10.1080/00223131.2019.1611502
Palabra clave:
Reactivity
Nuclear power plant
Nuclear reactor
Numerical simulation
Mathematical physics
Física matemática
Reaction-diffusion equations - Numerical solutions
Ecuaciones de reacción-difusión - Soluciones numéricas
Rights
openAccess
License
Derechos Reservados - Universidad Autónoma de Occidente
Description
Summary:A new method for calculating nuclear reactivity based on the Discrete Fourier Transform (DFT) – with two filters: a first-order delay low-pass filter and a Savitzky-Golay filter – is presented. The reactivity is calculated from an integrodifferential equation known as the inverse point kinetic equation, which contains the history of neutron population density. The new method can be understood as a convolution between the neutron population density signal and the response to the characteristic impulse of a linear system. The proposed method is based on the discrete Fourier transform (DFT) that performs a circular convolution. The fast Fourier transform algorithm (FFT) with the zero-padding technique is implemented to reduce the computational cost