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首页> 外文期刊>Annals of nuclear energy >Comparison of a Modal Method and a Proper Orthogonal Decomposition approach for multi-group time-dependent reactor spatial kinetics
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Comparison of a Modal Method and a Proper Orthogonal Decomposition approach for multi-group time-dependent reactor spatial kinetics

机译：多组时间相关反应堆空间动力学的模态方法和正确的正交分解方法的比较

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摘要

In this paper, two modelling approaches based on a Modal Method (MM) and on the Proper Orthogonal Decomposition (POD) technique, for developing a control-oriented model of nuclear reactor spatial kinetics, are presented and compared. Both these methods allow developing neutronics description by means of a set of ordinary differential equations. The comparison of the outcomes provided by the two approaches focuses on the capability of evaluating the reactivity and the neutron flux shape in different reactor configurations, with reference to a TRIGA Mark Ⅱ reactor. The results given by the POD-based approach are higher-fidelity with respect to the reference solution than those computed according to the MM-based approach, in particular when the perturbation concerns a reduced region of the core. If the perturbation is homogeneous throughout the core, the two approaches allow obtaining comparable accuracy results on the quantities of interest. As far as the computational burden is concerned, the POD approach ensures a better efficiency rather than direct Modal Method, thanks to the ability of performing a longer computation in the preprocessing that leads to a faster evaluation during the on-line phase.
机译：在本文中，提出并比较了两种基于模态方法（MM）和适当正交分解（POD）技术的建模方法，用于开发面向控制的核反应堆空间动力学模型。这两种方法都可以借助一组常微分方程来发展中子学描述。两种方法提供的结果的比较集中于评估不同反应堆配置中的反应性和中子通量形状的能力，参考TRIGA MarkⅡ反应堆。与基于MM的方法相比，基于POD的方法给出的结果相对于参考溶液具有更高的保真度，尤其是在扰动涉及芯的缩小区域时。如果整个核心的扰动是均匀的，则两种方法都可以在感兴趣的量上获得可比较的精度结果。就计算负担而言，由于可以在预处理过程中执行更长的计算，从而在联机阶段进行更快的评估，因此POD方法可确保更好的效率，而不是直接的模态方法。

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  • 来源
    《Annals of nuclear energy》 |2014年第9期|217-229|共13页
  • 作者

    Alberto Sartori; Davide Baroli; Antonio Cammi; Davide Chiesa; Lelio Luzzi; Roberto Ponciroli; Ezio Previtali; Marco Enrico Ricotti; Gianluigi Rozza; Monica Sisti;

  • 作者单位

    Politecnico di Milano, Department of Energy, CeSNEF (Enrico Fermi Center for Nuclear Studies), Via Ponzio 34/3, 20133 Milano, Italy;

    Politecnico di Milano, Department of Mathematics, MOX (Modelling and Scientific Computing), Via Bonardi 9, 20133 Milano, Italy;

    Politecnico di Milano, Department of Energy, CeSNEF (Enrico Fermi Center for Nuclear Studies), Via Ponzio 34/3, 20133 Milano, Italy;

    INFN (Istituto Nazionale di Fisica Nucleare), Section of Milano Bicocca, Piazza delta Scienza 3, 20126 Milano, Italy,Universita degli Studi di Milano Bicocca, Physics Department, Piazza della Scienza 3,20126 Milano, Italy;

    Politecnico di Milano, Department of Energy, CeSNEF (Enrico Fermi Center for Nuclear Studies), Via Ponzio 34/3, 20133 Milano, Italy;

    Politecnico di Milano, Department of Energy, CeSNEF (Enrico Fermi Center for Nuclear Studies), Via Ponzio 34/3, 20133 Milano, Italy;

    INFN (Istituto Nazionale di Fisica Nucleare), Section of Milano Bicocca, Piazza delta Scienza 3, 20126 Milano, Italy;

    Politecnico di Milano, Department of Energy, CeSNEF (Enrico Fermi Center for Nuclear Studies), Via Ponzio 34/3, 20133 Milano, Italy;

    SISSA (International School for Advanced Studies), mathLab, Via Bonomea 265, 34136 Trieste, Italy;

    INFN (Istituto Nazionale di Fisica Nucleare), Section of Milano Bicocca, Piazza delta Scienza 3, 20126 Milano, Italy,Universita degli Studi di Milano Bicocca, Physics Department, Piazza della Scienza 3,20126 Milano, Italy;

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  • 正文语种 eng
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  • 关键词

    Modal Method; Proper Orthogonal Decomposition; Multi-group reactor spatial dynamics; Inverse Method; TRIGA Mark Ⅱ reactor;

    机译：模态方法适当的正交分解;多组反应堆空间动力学;反方法TRIGA MarkⅡ反应器;

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