On the Optimization of the Fuel Distribution in a Nuclear Reactor

Laurent Thevenot

doi:10.1137/S0036141002415062

On the Optimization of the Fuel Distribution in a Nuclear Reactor

Laurent Thevenot

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

In this paper we give an optimality condition for the optimization problem of the distribution of fuel assemblies in a nuclear reactor by using the homogenization method. This study deals with purely fissile fuels and is based on the neutron transport equation modeling for continuous models. In particular, we prove the differentiability of the leading eigenvalue of the neutron transport operator with respect to the design parameter, the configuration of the fuels.

Original language	English
Journal	S I A M Journal on Mathematical Analysis
Volume	35
Issue number	5
Pages (from-to)	1133-1159
ISSN	0036-1410
DOIs	https://doi.org/10.1137/S0036141002415062
Publication status	Published - 2004

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title = "On the Optimization of the Fuel Distribution in a Nuclear Reactor",

abstract = "In this paper we give an optimality condition for the optimization problem of the distribution of fuel assemblies in a nuclear reactor by using the homogenization method. This study deals with purely fissile fuels and is based on the neutron transport equation modeling for continuous models. In particular, we prove the differentiability of the leading eigenvalue of the neutron transport operator with respect to the design parameter, the configuration of the fuels. ",

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DO - 10.1137/S0036141002415062

M3 - Journal article

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EP - 1159

JO - S I A M Journal on Mathematical Analysis

JF - S I A M Journal on Mathematical Analysis

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On the Optimization of the Fuel Distribution in a Nuclear Reactor

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