压水堆燃料组件定位格架动刚度估算及误差来源分析

Estimation of Dynamic Stiffness and Analysis of Error Source of Spacer Grid for Pressurized Water Reactor Fuel Assembly

  • 摘要: 格架动刚度是表征格架动态力学性能、支撑事故工况下燃料组件结构安全分析的重要参数。当前格架动刚度主要通过格架动刚度试验测得撞击力及速度等力学参量估算,但是缺乏对不同估算方法的差异分析和误差来源讨论,导致在工程应用中尚未形成标准化评估方法。本文以某型格架为研究对象,开展格架动刚度试验,获得格架撞击载荷、撞击小车速度、撞击载荷脉冲周期等关键力学参数,分别采用能量法(包括直接法和迭代法)及周期法估算格架动刚度,分析不同方法的误差来源并讨论格架动刚度误差的传递特性。结果表明:基于小车撞击试验装置时,采用直接法和迭代法估算具有更高的稳定性,最大相对偏差分别达到12%和16%左右;格架动刚度误差将直接传递至内刚度并显著放大内刚度误差,但进一步传递至撞击力误差时回归到5%左右。本文结果可为格架动刚度测试和组件事故工况安全分析的准确性提供参考。

     

    Abstract: Fuel assemblies are core components in pressurized water reactor (PWR), in which spacer grids serve as essential structural elements to support fuel rods, maintain fuel rod spacing, mix coolant, and resist external loads. The mechanical reliability of spacer grids is of great significance to ensure the integrity and safety of nuclear fuels, particularly under low-speed impact loads that may occur during transportation, handling, or accident scenarios. The dynamic stiffness of spacer grids is a key parameter that characterizes their ability to withstand dynamic forces and deformations, and a critical input for the safety analysis of fuel assemblies under accident conditions like seismic events or loss of coolant accident (LOCA). Currently, the estimation of dynamic stiffness for spacer grids primarily relies on dynamic stiffness testing, which involves measuring impact force, impact velocity, and the period of impact pulse. These measurements are used to derive the dynamic stiffness through various analytical methods. However, there is a lack of comprehensive discussions on the differences and error sources between different estimation methods. The gap in understanding has led to the absence of a standardized estimation procedure, which could potentially introduce uncertainties in the safety assessments of fuel assemblies. Addressing these uncertainties is crucial for improving the accuracy and reliability of dynamic stiffness estimations. In this paper, the dynamic stiffness testing of a specific type of spacer grid was conducted, aiming to obtain impact loads, impact velocity, and the period of impact pulse. Two primary approaches were employed to estimate the dynamic stiffness, i.e., the energy-based method (including both direct and iterative calculations) and the periodic-based methods. The energy-based method estimates the dynamic stiffness of a spacer grid relying on the principle of energy conservation, while the periodic-based method relies on the period of an impact pulse. The error sources associated with each estimation method were discussed, respectively. A more stable estimation could be obtained by the energy-based method based on the current vehicle-impact testing system, where the relative error by direct or iterative calculations is around 12% or 16%. Additionally, the error transfer characteristics were thoroughly examined, which describe how errors in measured parameters affecting the calculations of other parameters in the model. A profound amplification effect could be expected when the error of external dynamic stiffness (the dynamic stiffness of a spacer grid obtained by the current testing) being transferred to internal dynamic stiffness. But the error would regress to around 5% when it further transfers to the estimation of impact loads of a fuel assembly. By identifying and quantifying these errors, the paper provides valuable insights into the improvement of the accuracy of dynamic stiffness estimations. This could further support more reliable safety assessments of fuel assemblies under accident conditions.

     

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