On a point kinetic with explicit presence of neutron poisons: reactivity decomposition according to long time scales

Autores

DOI:

https://doi.org/10.14393/BEJOM-v4-2023-68618

Palavras-chave:

Difusão de nêutrons, Venenos de nêutrons, Método da decomposição de Adomian, Cinética de curta e longa escala de tempo, Combustível nuclear reutilizado

Resumo

The present work consists of deducing the point kinetics model considering neutron absorber poisons from the neutron diffusion equation. When considering poisons products, the non-linear system has different orders of magnitude in short and long time scales. The first one represents operational reactor control, whereas the second is due to the change of the chemical composition of the nuclear fuel as a result of burn-up. This represents a first step in a new direction, as it shows how we arrived at the extension of the point kinetics model considering Xenon-135 and Samarium-149 poisons. The non-linear system is solved using the Adomian decomposition method that expands the non-linear terms into an infinite series, obtaining a recursive system, where the recursion initialization is a homogeneous linear equation and the subsequent recursion steps consider the non-linear contributions as source terms constructed from previous recursion steps. The formulation of the source terms of the decomposition method is shown. In order to demonstrate the robustness of the current approach to this type of problem, case studies are presented where nuclear fuel uses reused elements up to third generation, taking a step in a new direction where poisons are already present in the reactor initially.

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Biografia do Autor

Carlos Eduardo Espinosa, UFPEL

Graduado em Matemática pela Universidade Federal do Rio Grande do Sul. Mestre em Matemática Aplicada pela Universidade Federal do Rio Grande do Sul. Doutor em Engenharia Mecânica pela Universidade Federal do Rio Grande do Sul. Experiência com pesquisa na área de Biologia Matemática. Atualmente trabalha com Fenômenos de Transporte e Física de Reatores Nucleares. Professor da Universidade Federal de Pelotas desde Abril de 2013.

Julio Cesar Lombaldo Fernandes, UFRGS

Pós-Doutor em Matemática Aplicada pela Universidade Federal do Rio Grande do Sul. Mestre em Matemática Aplicada pela Universidade Federal do Rio Grande do Sul com término em julho de 2011, Bacharel em Matemática Aplicada pela Universidade Federal do Rio Grande do Sul. Experiência com pesquisa na área de Mecânica de Fluidos e Modelagem Matemática de Ondas Oceâncias. Atualmente trabalhando com Fenômenos de Transporte, bem como Física de Reatores Nucleares, Problemas de Cinética em Reatores e problemas de fonte fixa em diversos tipos de geometria, atuando principalmente com a equação de transporte aplicada a Reatores Nucleares do tipo ADS (Accelerate Driven Systems).

Referências

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Publicado

2023-07-26

Como Citar

ESPINOSA, C. E.; JULIO CESAR LOMBALDO FERNANDES. On a point kinetic with explicit presence of neutron poisons: reactivity decomposition according to long time scales. BRAZILIAN ELECTRONIC JOURNAL OF MATHEMATICS, Uberlândia, v. 4, p. 1–14, 2023. DOI: 10.14393/BEJOM-v4-2023-68618. Disponível em: https://seer.ufu.br/index.php/BEJOM/article/view/68618. Acesso em: 16 jun. 2024.

Edição

Seção

Artigos - Matemática Aplicada