Analysis of Eigenvalue Implicit Sensitivity Based on Subgroup Resonance Self-Shielding Technique
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摘要: 采用经典微扰理论,高效地得到问题相关的多群截面的扰动对特征值的直接影响,即显式敏感性。应用广义微扰理论,推导了在子群共振自屏方法中,多群共振自屏截面对非共振核素截面的灵敏度系数的计算方法。结合前两项内容,得到非共振核素通过共振自屏过程对特征值的间接影响,即隐式敏感性。根据与显式灵敏度系数的比较,分析了隐式敏感性相对于显式敏感性的重要性。Abstract: The direct effect of the problem-specific multigroup cross sections on the eigenvalue, namely the explicit sensitivity, is obtained efficiently based on the classical perturbation. The expression of resonance self-shielding multigroup cross section sensitivity coefficients with respect to non-resonance nuclide cross sections are deduced based on the generalized perturbation theory for the subgroup resonance self-shielding technique. The indirect effect of non-resonance nuclide on the eigenvalue through resonance self-shielding procedure, namely the implicit sensitivity, can be calculated based on the foresaid two results. The relative importance of the implicit sensitivity is discussed in comparison with the explicit sensitivity.
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