不等温分布下燃料棒径向温度相关238U共振吸收截面计算

Calculation of Radial Distribution of 238U Resonance Absorption Cross Section in Fuel Pin with Non-uniform Temperature Profile

  • 摘要: 为精确预测燃料棒径向不等温分布下的238U共振吸收截面,提出了一种基于求解超细群慢化方程的共振计算方法。该方法通过温度扰动模型,将径向不等温分布对燃料棒能谱的影响分解为每个径向子区对燃料棒能谱的独立影响,从而实现了对不等温分布下的径向相关共振吸收截面的预测。数值结果表明,以MCNP5统计结果为基准,温度扰动模型对238U共振吸收截面的计算精度相比于传统的均匀碰撞概率超细群方法更高,共振吸收截面的相对偏差在2%以下。温度扰动模型适合进行不等温分布下燃料棒径向的238U共振吸收截面的精确计算。

     

    Abstract: To precisely predict the resonance absorption cross section of 238U in the fuel pin with non-uniform temperature profile, a resonance calculation method based on solving the ultra-fine-group slowing-down equation was proposed. Using the temperature perturbation model, the impact on the radial spectrum of the fuel pin from the non-uniform temperature profile was decomposed to the independent impact on the spectrum from each radial sub-region, thus the prediction of the radial resonance absorption cross section with non-uniform temperature profile was achieved. Numerical results show that, using the results from MCNP5 code as the reference, the accuracy of the temperature perturbation model on the 238U resonance absorption cross section is better than that of the conventional method using uniform collision probabilities, and the relative deviation of the resonance absorption cross section is under 2%. Therefore, the temperature perturbation model proposed is suitable for resonance absorption cross section calculation of 238U in the scenario of non-uniform temperature profile.

     

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