燃耗信任制下燃耗计算对临界计算的偏差及不确定度的研究

Research on Critical Calculation Bias and Uncertainty from Burnup Calculation Based on Burnup Credit

  • 摘要: 为量化燃耗信任制中燃耗计算传递给临界计算的不确定度,本文基于参数统计法对燃耗计算的核素偏差及偏差不确定度展开分析,并以蒙特卡罗(MC)抽样方法计算的kinf不确定度为基准,比较不同抽样方法对临界计算不确定度的影响。结果表明,核素偏差与偏差不确定度是随样品燃耗变化的分段函数。对于临界计算,拉丁超立方抽样(LHS)方法与MC抽样方法的kinf不确定度计算结果吻合较好,且LHS方法可考虑参数间的相关性,计算结果更真实,可进一步提升电厂的经济性。

     

    Abstract: When a large commercial reprocessing plant has not been built, the use of burnup credit (BUC) technology can realize the intensive storage of spent fuel, which is helpful to alleviate the operating pressure of nuclear power plants. Compared with the traditional new fuel assumption, BUC technology involves a wide variety of nuclides and the numerical calculation of burnup is complex. The actual burnup is difficult to fully consider the actual depletion process of components in the reactor, Moreover, due to the approximation introduced by depletion chain decomposition, the randomness of nuclear reaction itself and the inherent error of numerical calculation method, it is difficult to obtain accurate nuclear fuel composition in burnup calculation. Therefore, it is necessary to quantify the uncertainty introduced in the depletion calculation reasonably and conservatively. In order to quantify the critical safety uncertainty transmitted from burnup calculation in the application of BUC, based on the parameter statistical method, 7 benchmark data of PWR chemical analysis published by ORNL and OCRWM, 56 groups of spent fuel PWR components, with enrichment coverage of 2.56%4.11% and burnup coverage of 11.547.3 GW·d/tU were selected. The experimental measured values of spent fuel samples used as the benchmark to compare with the calculated values of nuclides, the nuclide bias and bias uncertainty of burnup calculation were analyzed. Then, nuclide boundary method, Monte Carlo sampling and Latin hypercube sampling were used to modify nuclide. At the same time, the corrected nuclides were combined into different spent fuel assembly components. TRITON and CSAS25 modules were used with ENDF/BⅤ nuclear database for burnup calculation and criticality calculation respectively. The critical calculation results took the kinf uncertainty calculated by Monte Carlo sampling method as a reference. Subsequently, the effects of nuclide boundary method, Monte Carlo sampling and Latin hypercube sampling method on the critical calculation uncertainty were compared. The results show that, nuclides 235U, 238U, 239Pu, 240Pu, 241Pu and 242Pu can divide the burnup range of fuel assembly into three burnup subintervals, which include 1025 GW·d/tU, 2535 GW·d/tU and 3550 GW·d/tU. 234U, 238Pu and 241Am are divided into two fuel consumption subintervals, which include 1035 GW·d/tU and 3550 GW·d/tU. In the burnup subintervals, the nuclide concentration deviation of each spent fuel is distributed around the mean value by about 1δ. The nuclide deviation in the burnup sub interval is approximately constant. For the critical calculation, the kinf uncertainty calculation results of Latin hypercube sampling method and Monte Carlo sampling method are in good agreement. The Latin hypercube sampling method can consider the correlation between parameters, and the calculation results are more authentic, which can further improve the economy of the power plant.

     

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