On the Optimization of the Fuel Distribution in a Nuclear Reactor

Laurent Thevenot

    Research output: Contribution to journalJournal articleResearchpeer-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 languageEnglish
    JournalS I A M Journal on Mathematical Analysis
    Volume35
    Issue number5
    Pages (from-to)1133-1159
    ISSN0036-1410
    DOIs
    Publication statusPublished - 2004

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