球床式高温气冷堆燃料球精确温度计算方法研究与验证

Research and Validation of Accurate Temperature Calculation Method for Fuel Pebble in Pebble-bed High Temperature Gas-cooled Reactor

  • 摘要: 针对球床式高温气冷堆中含弥散颗粒球形燃料元件的传热问题,本文基于温度扰动的双温度模型对燃料球等效导热系数模型的构建和TRISO颗粒热传导方程边界条件的确定进行改进研究。首先,针对现有方法基于外加热流定义的等效导热系数模型在含内热源材料系统中的局限性,依据基体平均温度守恒原则,通过解析推导建立考虑内热源影响的等效导热系数模型,将其应用于均匀燃料球模型获得基体温度分布;通过二阶温度扰动模型,确定TRISO颗粒热传导方程的边界条件,并基于一维稳态导热方程求解TRISO颗粒的UO2核心的温度分布。利用COMSOL Multiphysics构建了包含外层石墨球壳及随机弥散TRISO颗粒的球形燃料元件精细模型,对本文改进的双温度模型进行验证。结果表明:考虑含内热源效应的等效导热系数不受单球功率分布影响,但与燃料颗粒填充率密切相关;与精细模型相比,UO2核心的平均温度误差随填充率增加由6.2 K减小至2.4 K,基体平均温度在不同工况下的最大误差仅为3.8 K。本文模型的计算结果能较好复现不同工况下的弥散颗粒的核心平均温度与基体平均温度,可为高温气冷堆核热耦合计算提供更高精度的UO2核心平均温度与基体平均温度的计算方法。

     

    Abstract: The fuel pebble elements in pebble-bed high temperature gas-cooled reactors (PB-HTGR) contain thousands of tri-structural isotropic (TRISO) particles randomly distributed in the graphite matrix. Each TRISO particle consists of a UO2 kernel surrounded by multiple coating layers, including a porous buffer layer, inner and outer pyro-carbon layers, and a silicon carbide layer, each with distinct thermal properties. Due to the significant thermal conductivity differences between these layers and the graphite matrix, coupled with the fact that most fission heat is released within the UO2 kernel, the temperature field within the fuel pebble exhibits strong local heterogeneity. The accurate prediction of temperature distribution in the UO2 kernel of TRISO particles and graphite matrix is essential for reactor safety analysis and neutronics calculations, as it affects both fission product retention and neutron cross-section interpolation. This research aims to present an improved temperature calculation method based on two-temperature model for fuel pebble elements in PB-HTGR, with enhancements in both the effective thermal conductivity (ETC) model and the boundary condition formulation for the TRISO particle heat conduction equation. The conventional ETC models, derived under external heat flux assumptions following Fourier’s law, fail to account for the perturbation of heat flow caused by distributed internal heat sources. To overcome this limitation, an analytical ETC model considering internal heat source effects was derived based on the principle of graphite matrix average temperature conservation. This model was applied to the homogenized fuel pebble to obtain the matrix temperature distribution. Subsequently, the temperature perturbation method was used to establish the boundary condition for the TRISO particle heat conduction equation. And the UO2 kernel temperatures were calculated through the boundary condition. A full-scale fuel pebble model including the fuel zone and outer graphite shell was constructed using COMSOL Multiphysics code with explicit modeling of randomly distributed TRISO particles and their multilayer structures to validate the proposed method. The results indicate that the ETC shows negligible dependence on fuel pebble power but decreases significantly with increasing TRISO packing fraction, which is attributed to the growing volume fraction of low-conductivity particle layers relative to the high-conductivity graphite matrix. The two-temperature model based on the temperature perturbation model achieves good accuracy: the maximum UO2 kernel temperature deviation is 6.2 K at 0.05 packing fraction, reducing to 2.4 K at 0.15 packing fraction. Matrix temperature deviation reaches 3.8 K maximum. The proposed ETC model effectively captures the influence of distributed heat sources on fuel element heat transfer characteristics, providing an accurate temperature distribution of the graphite matrix for the calculation. Based on this matrix temperature field, the temperature perturbation model provides a reliable boundary condition for the predictions of UO2 kernel average temperatures. The combination of the ETC model and temperature perturbation model offers a computationally efficient and accurate tool for coupled neutronic-thermal analysis of PB-HTGR, with potential applications in core design optimization and safety evaluation.

     

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