基于随机介质中子输运的弥散颗粒燃料高保真共振及输运计算方法

High-fidelity Resonance and Transport Calculation Method for Dispersed Particle Fuel Based on Neutron Transport in Random Media

  • 摘要: 为在确定论中子学程序中构建燃料芯体内多种颗粒混合工况的双重非均匀性处理模块,实现弥散颗粒燃料全堆高保真中子学模拟计算,本研究从共振及输运计算两方面对传统方法进行改进。在共振计算部分,将Hébert模型与全局-局部耦合共振计算方法结合,构建含弥散颗粒的一维等效栅元,然后在等效栅元中采用Hébert模型和超细群方法计算获得有效自屏截面,实现全堆芯的高精度共振计算;在输运计算部分,基于二维一维耦合输运计算框架,在径向方向将Sanchez-Pomraning(S-P)方法添加到NECP-X的二维特征线方法(MOC)中,在轴向方向的一维SN计算及粗网有限差分计算中,添加考虑颗粒结构的均匀化模块,实现考虑弥散颗粒的三维输运计算。以采用颗粒显式建模的蒙特卡罗程序为参考,对棒束型燃料元件和板型反应堆堆芯问题进行了计算。在棒束型问题中,截面相对偏差小于1.8%,无限增殖因数(kinf)偏差小于200 pcm。在板堆芯问题中,有效增殖因数(keff)偏差小于260 pcm,功率均方根偏差在1%以内。以上结果表明,本研究建立的数值模拟方法能够用于弥散颗粒燃料的全堆高保真中子学计算。

     

    Abstract: In the poison design scheme of dispersed particle fuel, there are situations in which TRISO fuel particles and BISO poison particles are mixed and dispersed into the SiC matrix. The common equivalent homogenization method based on the disadvantage factors has difficulty in handling the conditions where multiple types of particles coexist, while the stochastic medium neutron transport method has difficulty in dealing with large-scale calculation problems. To establish the double heterogeneity processing capability for multiple particle mixing in the fuel compact and achieve high-fidelity neutronics simulation of the whole core loaded with dispersed particle fuel, this study adds a dispersed particle fuel processing module to the deterministic high-fidelity program NECP-X. The part of resonance calculation is based on the global-local coupling calculation framework. First, one-dimensional (1D) equivalent models of plate or rod fuel elements were established through the conservation of the Dancoff factor. Then, in the equivalent model, the ultrafine group method was used to obtain the effective self-shielding cross-sections. Among them, the collision probabilities inside and between the particles and the matrix were obtained through the Hébert model. The part of transport calculation is based on the 2D/1D coupling transport method. In the radial direction, the Sanchez-Pomraning (S-P) method was incorporated into the 2D MOC (method of characteristic) calculation to account for randomly distributed particles and obtain the radial flux distribution at the particle and matrix locations. In the axial direction, the pin-based homogenization was adopted, and the particle structure was considered in the flux-weighted calculation of the homogenized cross-sections. Then, the axial flux distribution was obtained through 1D SN calculation. Similarly, the particle structure must be considered in the calculation of the homogenization parameters in the coarse-mesh finite difference method. In addition, the iterative format of the equivalent homogenized cross-sections was modified to ensure its convergence when the particle packing fractions are greater than 0.5. Taking the Monte Carlo program with explicit particle modeling as reference, calculations were carried out for rod-type fuel pin and plate-type reactor core problems. In the rod-type single pin problem, the bias of cross-sections are less than 1.8%, and the bias of infinite multiplication factors (kinf) are less than 200 pcm. In the plate-type full core problem, the bias of effective multiplication factors (keff) are less than 260 pcm, and the RSE of power is within 1%. The calculation results show that the method in this paper can obtain high-precision results such as resonance self-shielding cross-sections, keff, and power distributions. Therefore, the numerical simulation method established in this study can be used for high-fidelity neutronics calculation of the entire reactor with dispersed particle fuel.

     

/

返回文章
返回