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...
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| Autor principal: | |
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| Formato: | article |
| Lenguaje: | EN ES |
| Publicado: |
Pontificia Universidad Javeriana
2019
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/4387d926354d4db191a687e3ca73459c |
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| Sumario: | 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. |
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