A Method to Minimize the Sampling Sample Size for Uncertainty Analysis of Nuclear Reactor Physics

A nuclear reactor, uncertainty technology, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve the problems of long calculation time, complex reactor physical calculation model, huge sample calculation cost, etc., to avoid calculation cost Effect of multiplication, avoiding calculation cost problem, and reducing calculation cost

CN110377639BActive Publication Date: 2021-06-22XI AN JIAOTONG UNIV
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Publication Date
2021-06-22

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Abstract

A method to minimize the sampling sample size of nuclear reactor physical uncertainty analysis, firstly determine the multi-group cross-sectional population covariance matrix of the nuclear reactor inner element to be analyzed, and then use the Latin hypercube sampling to obtain a group from the same dimension standard normal distribution population The sample, so that the rank of its covariance matrix is ​​not less than the rank of the overall covariance matrix of the multi-group section, linearly transforms the sample, and solves a transformation matrix for linear transformation to ensure that the transformed sample mean and covariance are respectively equal to The mean and covariance of the multi-group cross-section population, and then obtain the calculation samples of the multi-group cross-section input parameters. The invention reconstructs the uncertainty of nuclear data with the minimum sample size, ensures the convergence of uncertainty analysis results, and solves the problems of loss of nuclear data uncertainty information and huge sample size required by traditional sampling methods; the inventive method is easy to implement and easy to use. The calculation efficiency is significantly improved, and the convergence result is accurate and reliable, which is of great significance to the analysis of nuclear reactor physical uncertainty.
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Description

technical field

[0001] The invention relates to the field of nuclear reactor physical uncertainty analysis, and relates to a method for minimizing the sampling sample size of nuclear reactor physical uncertainty analysis. Background technique

[0002] The results of nuclear reactor physical uncertainty analysis are of great significance to ensure the safety and economy of the reactor. Statistical sampling method is an effective and widely used method for uncertainty analysis. This method is simple and easy to implement, and has strong applicability to various types of input-output systems. Nuclear data uncertainty is a major source of nuclear reactor physics uncertainty. In the process of analyzing the uncertainty of nuclear data based on the sampling method, the uncertainty information of multi-group cross-section input parameters is carried by the sample, which is transferred from the nuclear data to the key response of the reactor physics calculation. Therefore, the deg...

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Embodiment Construction

[0026] The present invention will be further described in detail below in combination with specific embodiments.

[0027] Such as figure 1 Shown, a kind of minimization nuclear reactor physical uncertainty analysis sampling sample size of the present invention comprises the following steps:

[0028] Step 1: Determine the input parameter dimension NV of the multi-group cross-section of the nuclear reactor inner element to be analyzed; based on the nuclear data information in the evaluation nuclear database, determine the mean vector μ of the multi-group cross-section population of the nuclear reactor inner element that needs to be analyzed; according to the evaluation nuclear database The covariance information between the nuclear data, construct the multi-group cross-sectional overall covariance matrix Σ of the nuclear reactor nuclear element that needs to be analyzed;

[0029]

[0030] σ i (i=1,2,…,NV)——input parameters of the multi-group cross-section of the i-th nuclea...