Solución Numérica de la Reactividad en Reactores Nucleares.

Suescún-Díaz, D.; Ule-Duque, G.; Peña-Lara, D.

Nuclear reactivity and neutron population density are critical parameters for quantifying and describing the behavior of a nuclear reactor. Accurate knowledge of reactivity is essential for the safe control and operation of a reactor. Various approaches and methods for calculating reactivity are reported in the literature. In this paper, we propose using the Euler-Maclaurin formula to numerically solve reactivity through the inverse point kinetics equation, a key model in the design of digital reactivity meters. By approximating an integral as a sum in the expansion of a continuous integral into a discrete version, and considering only the first three Bernoulli numbers while reducing higher-order derivatives, we derive a model to calculate nuclear reactivity as a function of neutron population density and physical constants in thermal reactors using uranium as nuclear fuel.

BERNOULLI numbers; URANIUM as fuel; NUCLEAR models; GEOTHERMAL reactors; NUCLEAR reactors

Scientia et Technica, 2024, Vol 29, Issue 4, p167

0122-1701

Academic Journal

10.22517/23447214.25438