Generalized Point Reactor Kinetics

André Luiz Yoshio Valentim Oyama; Adilson Costa  da Silva; Alessandro da Cruz Gonçalves; Aquilino Senra Martinez

doi:10.15392/2319-0612.2025.2773

Autores/as

André Luiz Yoshio Valentim Oyama Departamento de Engenharia Nuclear - POLI/UFRJ
Adilson Costa da Silva Programa de Engenharia Nuclear - COPPE/UFRJ
Alessandro da Cruz Gonçalves Programa de Engenharia Nuclear - COPPE/UFRJ
Aquilino Senra Martinez Programa de Engenharia Nuclear - COPPE/UFRJ

DOI:

https://doi.org/10.15392/2319-0612.2025.2773

Palabras clave:

Point reactor kinetics equations, Reactor power, Analytical solution, conventional and subcritical equations, similarity transformation

Resumen

In this paper, we are proposing a generalized analytical solution to the point reactor kinetics equations for six groups of delayed neutron precursors for both conventional and subcritical equations. The methodology presented aims to obtain an analytical solution using the similarity transformation technique. This solution will make it possible to evaluate the behavior of the nuclear reactor power as a function of time, for a given constant reactivity inserted in the reactor core, in a very simple way and without computational effort, compared to numerical solutions. The results obtained will be compared with reference methods to validate the methodology presented in this paper.

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