Further Evaluation of a Stochastic Model Applied to Monoenergetic Space-Time Nuclear Reactor Kinetics

Ha, Pham Nhu Viet; Kim, Jong Kyung

doi:10.5516/net.2011.43.6.523

Cited by 7 publications

(2 citation statements)

References 10 publications

(13 reference statements)

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“…The stochastic point kinetics equations [7,8,10] generalize the deterministic point kinetics equations (1.2). The stochastic point kinetics equations follow from a straightforward, well-known derivation procedure, a variant of which was first used in [17] in studying Brownian motion, and then later proposed or applied by other investigators to model randomly varying problems in physics, finance, and biology [2,4,6,16].…”

Section: Discussionmentioning

confidence: 99%

A Stochastic Analysis of Power Doubling Time for a Subcritical System

Allen

2013

Stochastic Analysis and Applications

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The power doubling time for a subcritical system is identified as a stochastic firstpassage time problem. Using stochastic point kinetics equations, relations for the mean doubling time and the standard deviation in doubling time are derived. It is shown that the power doubling time for a subcritical system is independent of whether the system is fast or thermal, weakly depends on source strength, and is approximately proportional to the inverse of the reactivity for small negative values of the reactivity.

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Section: Discussionmentioning

confidence: 99%

A Stochastic Analysis of Power Doubling Time for a Subcritical System

Allen

2013

Stochastic Analysis and Applications

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“…Additionally, the authors in [7,8] proposed a space-time reactor kinetic model using the same procedure as in [2] but adding the spatial variations. For a detailed survey of the different techniques used in analyzing the reactor dynamics, the reader can refer to [5].…”

Section: Introductionmentioning

confidence: 99%

A New Model for the Stochastic Point Reactor: Development and Comparison with Available Models

et al. 2021

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The point kinetic model is a system of differential equations that enables analysis of reactor dynamics without the need to solve coupled space-time system of partial differential equations (PDEs). The random variations, especially during the startup and shutdown, may become severe and hence should be accounted for in the reactor model. There are two well-known stochastic models for the point reactor that can be used to estimate the mean and variance of the neutron and precursor populations. In this paper, we reintroduce a new stochastic model for the point reactor, which we named the Langevin point kinetic model (LPK). The new LPK model combines the advantages, accuracy, and efficiency of the available models. The derivation of the LPK model is outlined in detail, and many test cases are analyzed to investigate the new model compared with the results in the literature.

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Analytical exponential model for stochastic point kinetics equations via eigenvalues and eigenvectors

Nahla

Edress

2016

NUCL SCI TECH

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Further Evaluation of a Stochastic Model Applied to Monoenergetic Space-Time Nuclear Reactor Kinetics

Cited by 7 publications

References 10 publications

A Stochastic Analysis of Power Doubling Time for a Subcritical System

A Stochastic Analysis of Power Doubling Time for a Subcritical System

A New Model for the Stochastic Point Reactor: Development and Comparison with Available Models

Analytical exponential model for stochastic point kinetics equations via eigenvalues and eigenvectors

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