基准模型keff对核数据的灵敏度分析及不确定度量化

Sensitivity and Uncertainty Analysis of Calculated keff on Benchmark Models due to Uncertainties of Nuclear Data

  • 摘要: 为研究有效增殖因数(keff)对核反应数据的灵敏度,以科学量化核数据导致keff计算的不确定度,编制了输运计算积分量灵敏度及不确定度分析程序SURE。该程序采用多群SN输运计算方法计算keff、角通量和伴随角通量,基于微扰理论确定keff对核数据的灵敏度,利用协方差数据量化评估keff计算的不确定度。利用ENDF/B-Ⅶ.1评价中子核数据库,制作了输运计算所需的多群核数据、灵敏度分析所需的各反应道多群截面和中子群转移矩阵、不确定度分析所需的多群协方差数据。采用上述数据,利用SURE分析了基准模型Godiva和Jezebel的keff计算值对核数据的灵敏度,以及核数据导致的模拟计算的不确定度。SURE的灵敏度计算结果与MCNP程序及FORSS程序计算结果符合较好。

     

    Abstract: In order to reasonably quantify the uncertainty in calculated keff due to uncertainties of nuclear data, the SURE code used for sensitivity and uncertainty (S/U) analysis of integral parameter keff was developed. The method of multi-group discrete ordinates (SN) was used to calculate keff, flux and adjoint flux for applications. Perturbation theory was used to determine the sensitivity of the calculated value of keff to the nuclear data used in the calculation. The uncertainty in the calculated value of keff, resulting from uncertainties in the basic nuclear data used in the calculation, was estimated using energy-dependent relative covariance matrices. The multi-group cross sections for SN transport calculation, the reaction channel multi-group cross sections and the neutron transfer matrices for sensitivity calculation, multi-group covariance data were processed from ENDF/B-Ⅶ.1 nuclear data library. The sensitivities of calculated keff on Godiva and Jezebel benchmarks to nuclear data and the contribution of the cross section uncertainties to the uncertainties of keff were analyzed using SURE. The calculated sensitivities of SURE are in good agreement with those of MCNP and FORSS codes.

     

/

返回文章
返回