Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method

This paper presents a numerical solution to the equations of point kinetics for nuclear power reactors, a set of seven coupled differential equations that describe the temporal variation of neutron density and the concentration of delayed neutron precursors. Due to the nature of the system, we p...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Daniel Suescún-Díaz, Diego A. Rasero Causil, Jaime H. Lozano-Parada
Formato:	article
Lenguaje:	EN ES
Publicado:	Pontificia Universidad Javeriana 2019
Materias:	nuclear reactor power nuclear density point kinetics equations Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/4387d926354d4db191a687e3ca73459c
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:4387d926354d4db191a687e3ca73459c
record_format	dspace
spelling	oai:doaj.org-article:4387d926354d4db191a687e3ca73459c2021-11-16T16:38:00ZNeutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method10.11144/Javeriana.SC24-3.ndcu0122-74832027-1352https://doaj.org/article/4387d926354d4db191a687e3ca73459c2019-11-01T00:00:00Zhttps://revistas.javeriana.edu.co/index.php/scientarium/article/view/23113https://doaj.org/toc/0122-7483https://doaj.org/toc/2027-1352This paper presents a numerical solution to the equations of point kinetics for nuclear power reactors, a set of seven coupled differential equations that describe the temporal variation of neutron density and the concentration of delayed neutron precursors. Due to the nature of the system, we propose to numerically solve the point kinetics equations by implementing the Adams-Bashforth and Adams-Moulton methods, which are predictor-corrector schemes with their respective modifiers to increase precision. The proposed method was tested computationally for different forms of reactivity with up to six groups of delayed neutron precursors. This method was used in a recent publication to solve the inverse problem of finding the reactivity. In this work, it is shown that it can also be used for the calculation of nuclear power, that it is simple and easy to implement, and that it produces good results when compared with those in the literature for neutron population density and concentration of delayed neutron precursors.Daniel Suescún-Díaz, Diego A. Rasero Causil, Jaime H. Lozano-ParadaPontificia Universidad Javerianaarticlenuclear reactor powernuclear densitypoint kinetics equationsScience (General)Q1-390ENESUniversitas Scientiarum, Vol 24, Iss 3, Pp 543-563 (2019)
institution	DOAJ
collection	DOAJ
language	EN ES
topic	nuclear reactor power nuclear density point kinetics equations Science (General) Q1-390
spellingShingle	nuclear reactor power nuclear density point kinetics equations Science (General) Q1-390 Daniel Suescún-Díaz, Diego A. Rasero Causil, Jaime H. Lozano-Parada Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method
description	This paper presents a numerical solution to the equations of point kinetics for nuclear power reactors, a set of seven coupled differential equations that describe the temporal variation of neutron density and the concentration of delayed neutron precursors. Due to the nature of the system, we propose to numerically solve the point kinetics equations by implementing the Adams-Bashforth and Adams-Moulton methods, which are predictor-corrector schemes with their respective modifiers to increase precision. The proposed method was tested computationally for different forms of reactivity with up to six groups of delayed neutron precursors. This method was used in a recent publication to solve the inverse problem of finding the reactivity. In this work, it is shown that it can also be used for the calculation of nuclear power, that it is simple and easy to implement, and that it produces good results when compared with those in the literature for neutron population density and concentration of delayed neutron precursors.
format	article
author	Daniel Suescún-Díaz, Diego A. Rasero Causil, Jaime H. Lozano-Parada
author_facet	Daniel Suescún-Díaz, Diego A. Rasero Causil, Jaime H. Lozano-Parada
author_sort	Daniel Suescún-Díaz, Diego A. Rasero Causil, Jaime H. Lozano-Parada
title	Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method
title_short	Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method
title_full	Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method
title_fullStr	Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method
title_full_unstemmed	Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method
title_sort	neutron density calculation using the generalised adams-bashforth-moulton method
publisher	Pontificia Universidad Javeriana
publishDate	2019
url	https://doaj.org/article/4387d926354d4db191a687e3ca73459c
work_keys_str_mv	AT danielsuescundiazdiegoaraserocausiljaimehlozanoparada neutrondensitycalculationusingthegeneralisedadamsbashforthmoultonmethod
_version_	1718426296080400384

Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method

Ejemplares similares