燃料组件交混系数相关函数关系研究及高效计算方法

Functional Relationship Research and Efficient Calculation Method for Fuel Assembly Mixing Coefficient

  • 摘要: 交混系数是燃料组件的重要参数,对堆芯设计和安全分析有重要影响,每种燃料组件均需试验测量其交混系数。本文通过理论分析,分别建立了交混系数与最大温差、误差平方和与最大温差的函数关系,从而得到了误差平方和与交混系数的函数关系,为交混系数计算提供了明确的理论依据。在此基础上,提出了简洁的单组试验数据对应交混系数计算方法,避免繁琐的多次试算。发现了不同试验数据组之间的关系,提出将所有试验数据折算为一组,直接计算平均交混系数的方法,极大地减小了计算量,提高了效率。通过与传统方法计算结果比较,验证了新方法的正确性和高效性。

     

    Abstract: The mixing coefficient is an important parameter of fuel assemblies, which has a significant impact on core design and safety analysis, and needs to be measured for each type of fuel assembly. But the mixing coefficient can’t be obtained directly by experiment. The common method is to conduct multiple subchannel analyses under the assumption of different mixing coefficients, and obtain the sum of squared errors s between the measured temperature values and the corresponding calculated values for each subchannel. When s is the minimum, the corresponding mixing coefficient is thought to be the actual measured mixing coefficient. Currently, there is a lack of an exact functional relationship between s and the mixing coefficient, and the minimum s can only be found through trial calculations. The whole process is quite complicated and costs a lot of time. In the paper, the maximum temperature difference Tβ calculated by subchannel analysis was introduced as an intermediate variable, and the functional relationships for mixing coefficients were established through theoretical analysis, including the function of mixing coefficient and Tβ, the function of s and Tβ, and the function of the s and mixing coefficient. Among them, Tβ decreases exponentially with the increase of the mixing coefficient, and s is a quadratic function of Tβ. These functions provide a clear theoretical basis for the mixing coefficient calculation. On this basis, a concise method for calculating the mixing coefficient from a single set experimental data was proposed, which can avoid tedious multiple trial calculations. Firstly, fit s as a quadratic function of Tβ. Then calculate Tβ corresponding to the minimum value of s based on the properties of the quadratic function. Finally, calculate the mixing coefficient according to the monotonic relationship between Tβ and the mixing coefficient. The research also finds that when the mixing coefficient is a constant, the temperature rises of subchannels in different experimental data groups are proportional to the power-to-flow ratio. Based on this phenomenon, multiple sets of experimental data can be converted into one set, and the average mixing coefficient can be calculated directly, which can greatly reduce the computational load of subchannel analysis and improve the calculation accuracy of mixing coefficients. By comparing with the results obtained through traditional method, the correctness and efficiency of the new method were verified. A new method is also proposed to evaluate the uncertainty of the mixing coefficient test by subchannel temperature rise data, thereby avoiding error amplification in the calculation of the mixing coefficient.

     

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