子通道程序对PSBT空泡分布实验计算的不确定性量化分析

doi:10.16183/j.cnki.jsjtu.2021.068

上海交通大学学报 ›› 2022, Vol. 56 ›› Issue (10): 1420-1426.doi: 10.16183/j.cnki.jsjtu.2021.068

• 机械与动力工程 • 上一篇

子通道程序对PSBT空泡分布实验计算的不确定性量化分析

张俊涛, 刘晓晶(), 张滕飞, 柴翔

上海交通大学核科学与工程学院,上海 200240

收稿日期:2021-03-03 出版日期:2022-10-28 发布日期:2022-11-03
通讯作者: 刘晓晶 E-mail:xiaojingliu@sjtu.edu.cn
作者简介:张俊涛(1996-),男,河南省洛阳市人,硕士生,从事核反应堆热工水力研究.
基金资助:
国家自然科学基金(U20B2011)

Uncertainty Quantitative Analysis of Subchannel Code Calculation of PSBT Void Distribution Benchmark

ZHANG Juntao, LIU Xiaojing(), ZHANG Tengfei, CHAI Xiang

School of Nuclear Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2021-03-03 Online:2022-10-28 Published:2022-11-03
Contact: LIU Xiaojing E-mail:xiaojingliu@sjtu.edu.cn

摘要/Abstract

摘要：

为了评估子通道程序的准确性与可靠性,需要定量给出计算结果的不确定性.采用统计学上基于输入参数不确定性传递的方法进行不确定性分析,可以定量得到程序计算结果的不确定范围.在假设模型参数不确定性服从正态分布的基础上,采用统计学方法确定模型参数不确定性的分布以取代传统的专家判断.通过对压水堆子通道和棒束实验(PSBT)基准题空泡分布实验进行计算,分析子通道程序COBRA-IV 对实验结果的预测能力,同时得到满足容忍限的计算结果不确定性上下限.计算结果表明:评估得到的不确定带能较好地包络实验值;同时利用统计均值对模型进行标定后,可以得到比原模型更接近实验值的计算结果.

关键词: 不确定性量化, 子通道程序, 空泡份额

Abstract:

In order to evaluate the accuracy and reliability of the subchannel code, it is necessary to quantitatively give the uncertainty of the calculation results. The uncertainty analysis is conducted by using the statistical method based on propagation of input uncertainties, and the uncertainty range of the subchannel code calculation results can be obtained quantitatively. Based on the assumption that the uncertainty of model parameters obeys normal distribution, the statistical method is used to determine the distribution of the uncertainty of model parameters to replace the traditional expert judgment. Through the calculation of the pressurized water reactor sub-channel and bundle tests (PSBT) benchmark, the ability of the subchannel code COBRA-IV to predict the experimental results is analyzed, and the uncertainty interval satisfying the tolerance limit of the calculation results is obtained. The results demonstrate that the experiment data is well enveloped by the obtained uncertainty bands and the model calibrated by the statistical mean value presents a good improvement of calculations.

Key words: uncertainty quantification, subchannel code, void fraction

中图分类号:

TL334

张俊涛, 刘晓晶, 张滕飞, 柴翔. 子通道程序对PSBT空泡分布实验计算的不确定性量化分析[J]. 上海交通大学学报, 2022, 56(10): 1420-1426.

ZHANG Juntao, LIU Xiaojing, ZHANG Tengfei, CHAI Xiang. Uncertainty Quantitative Analysis of Subchannel Code Calculation of PSBT Void Distribution Benchmark[J]. Journal of Shanghai Jiao Tong University, 2022, 56(10): 1420-1426.

图/表 9

图1

表1

评估所得参数与真实值的比较

参数	真实值	计算值	相对误差绝对值/%
$μ x 1$	-0.6	-0.647 8	7.96
$σ x 1$	0.3	0.281 7	6.23
$μ x 2$	1.2	1.137 1	5.24
$σ x 2$	0.2	0.221 3	10.65

表1

图2

表2

图3

表3

图4

图5

图6

参考文献 20

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参数	取值
组件	B5(图示①)	B6(图示②)	B7(图示③)
棒束排列	5×5	5×5	5×5
加热棒数	25	25	24
套管数	0	0	1
加热棒外径/mm	9.50	9.50	9.50
套管外径/mm	-	-	12.24
加热棒间距/mm	12.60	12.60	12.60
轴向加热长度/mm	3 658	3 658	3 658
流道内宽度/mm	64.9	64.9	64.9
径向功率分布类型	A	A	B
轴向功率分布类型	均匀	余弦	余弦
搅混叶片格架数	7	7	7
非搅混叶片格架数	2	2	2
简单格架数	8	8	8
搅混叶片格架位置/mm	471, 925, 1 378, 1 832, 2 285, 2 739, 3 247
非搅混叶片格架位置/mm	2.5, 3 755
简单格架数位置/mm	237, 698, 1 151, 1 605, 2 059, 2 512, 2 993, 3 501

模型或参数	内容
过冷空泡份额模型	Levy模型
空泡份额模型	滑移模型
两相摩擦倍增因子	Armand模型
湍流交混模型	EM模型
两相湍流交混倍增因子	Beus模型
单相湍流摩擦系数	0.184Re^-0.2
格架压降因子(MV/NMV/SS)	1.0/0.7/0.4
横流压降因子	0.5

子通道程序对PSBT空泡分布实验计算的不确定性量化分析

Uncertainty Quantitative Analysis of Subchannel Code Calculation of PSBT Void Distribution Benchmark

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