蒙特卡罗全局权窗和均匀裂变源方法在全堆临界计算中的应用研究

Application of Monte Carlo Global Weight Window and Uniform Fission Site Methods in Full Core Criticality Calculation

  • 摘要: 蒙特卡罗方法在大型裂变反应堆模拟时,由于不同区域的功率密度有较大差异,与高功率区域相比,低功率区域的粒子数相对不足,统计误差也较大。针对这类具有全局特征的蒙特卡罗输运计算问题,为获得中子通量在全空间的准确统计,本文针对全局权窗(global weight window, GWW)方法和均匀裂变源(uniform fission site, UFS)方法两类减方差算法展开了研究,在蒙特卡罗程序RMC中开发了基于通量的GWW功能,将GWW算法以及两类UFS算法应用于Hoogenboom-Martin压水堆全堆基准题,实现了较好的全局减方差效果,降低了堆芯计算的不对称程度,计算效率有较大提高。为结合两种减方差算法的优势,本文在蒙特卡罗程序RMC中开发了GWW与UFS的组合算法,并应用于压水堆全堆临界计算。结果表明,该方法在相同的计算条件下,堆芯外围的方差进一步减小,计算效率得到进一步提升,验证了该方法在全堆临界计算中的有效性。

     

    Abstract: When the Monte Carlo method is used to simulate a large-scale fission reactor, the power density of different regions varies greatly. Compared with the high-power region, the number of particles in the low-power region is relatively insufficient, and the statistical error is also larger. For this kind of Monte Carlo transport calculation problem with global characteristics, in order to obtain accurate statistics of neutron flux in the whole space, the global weight window (GWW) method and the uniform fission site (UFS) method were studied in this paper, and the flux-based GWW function was developed in RMC. The GWW function and two UFS functions were applied to the Hoogenboom-Martin PWR whole core benchmark, which achieves a better global variance reduction effect, reduces the asymmetry of the reactor core calculation and greatly improves the calculation efficiency. In order to combine the advantages of the two kinds of variance reduction algorithm, the combined algorithm of GWW and UFS was developed in the Monte Carlo code RMC and applied to the critical calculation of the PWR. The results show that under the same calculation conditions, with adoption of the combined algorithm, the variance of the periphery of reactor core is further reduced and the calculation efficiency is greatly improved, which verifies the effectiveness of the method in the critical calculation of the whole core.

     

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