Sub-critical reactor kinetics analysis using incomplete gamma functions and binomial expansions

Sathiyasheela, T.

doi:10.1016/j.anucene.2010.04.016

Cited by 3 publications

(2 citation statements)

References 11 publications

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“…So, the rule of neutron density variation is significant because it not only describes the relationship between lifting speed of the control rod, duration and speed of neutron density response, but also is helpful to the operator to control the reactor start-up from any accident [9,17,18]. The authors modified the analytical expressions for the calculation of neutron density from a set of physical and mathematical approximations [9,12,15]. Since the reactor is in sub-critical state in the cold start-up stage, the external neutron source cannot be ignored.…”

Section: Start-up Processmentioning

confidence: 99%

“…Therefore, one should carefully study the influence of external neutron source on the reactor power [10,11]. So far, appropriate mathematical models have already been developed to study the sub-critical kinetics, such as including the constant external neutron source [6], approximation models [12][13][14] and prompt jump approximation (PJA) [9,15,16].…”

Section: Introductionmentioning

confidence: 99%

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Generalization of the analytical solution of neutron point kinetics equations with time-dependent external source

2014

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Point reactor kinetics equations with one group of delayed neutrons in the presence of the time-dependent external neutron source are solved analytically during the start-up of a nuclear reactor. Our model incorporates the random nature of the source and linear reactivity variation. We establish a general relationship between the expectation values of source intensity and the expectation values of neutron density of the sub-critical reactor by ignoring the term of the second derivative for neutron density in neutron point kinetics equations. The results of the analytical solution are in good agreement with the results obtained with numerical solution.

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