Eigenvalue implicit sensitivity and uncertainty analysis with the subgroup resonance-calculation method

Liu, Yong; Cao, Liangzhi; Wu, Hongchun; Zu, Tiejun; Shen, Wei

doi:10.1016/j.anucene.2015.01.012

Cited by 17 publications

(3 citation statements)

References 11 publications

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“…Up to now, however, most implicit sensitivity studies are mainly established for simple resonance-calculation methods such as Bondarenko method [31], generalized Stammler method [33], and so on [34], which are not applicable for complex fuel and core designs. In order to expand the implicit sensitivity analysis method to wider application domain, Liu et al [35] proposed a method based on the generalized perturbation theory (GPT) to calculate the implicit sensitivity coefficients by using the subgroup method in the resonance selfshielding calculation.…”

Section: Local Sensitivity Analysismentioning

confidence: 99%

Basic Framework and Main Methods of Uncertainty Quantification

Zhang

Wang

2020

Mathematical Problems in Engineering

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Since 2000, the research of uncertainty quantification (UQ) has been successfully applied in many fields and has been highly valued and strongly supported by academia and industry. This review firstly discusses the sources and the types of uncertainties and gives an overall discussion on the goal, practical significance, and basic framework of the research of UQ. Then, the core ideas and typical methods of several important UQ processes are introduced, including sensitivity analysis, uncertainty propagation, model calibration, Bayesian inference, experimental design, surrogate model, and model uncertainty analysis.

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Section: Local Sensitivity Analysismentioning

confidence: 99%

Basic Framework and Main Methods of Uncertainty Quantification

Zhang

Wang

2020

Mathematical Problems in Engineering

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“…The partial derivative in Eq. (2) can be approximated by the difference in the direct perturbation theory (DPT) [5]:…”

Section: The Direct Perturbation Theorymentioning

confidence: 99%

Nuclear data sensitivity analysis and uncertainty propagation in the KYADJ whole-core transport code

Peng

Shi

et al. 2020

EPJ Web Conf.

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Nuclear data sensitivity analysis and uncertainty propagation have been extensively applied to nuclear data adjustment and uncertainty quantification in the field of nuclear engineering. Sensitivity and Uncertainty (S&U) analysis is developed in the KYADJ whole-core transport code in order to meet the requirement of advanced reactor design. KYADJ aims to use two-dimension Method of Characteristic (MOC) and one-dimension discrete ordinate (SN) coupled method to solve the neutron transport equation and achieve one-step direct transport calculation of the reactor core. Developing sensitivity and uncertainty analysis module in KYADJ can minimize deviations caused by modeling approximation and enhance calculation efficiency. This work describes the application of the classic perturbation theory to the KYADJ transport solver. In order to obtain uncertainty, a technique is proposed for processing a covariance data file in 45-group energy grid instead of 44-group SCALE 6.1 covariance data which is extensively used in various codes. Numerical results for Uncertainty Analysis in Modelling (UAM) benchmarks and the SF96 benchmark are presented. The results agree well with the reference and the capability of S&U analysis in KYADJ is verified.

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“…Indeed, much effort has been put in the development of the perturbation theory-based sensitivity and uncertainty analysis methods by using the forward and adjoint solutions obtained by deterministic transport methods or Monte Carlo methods for the past years. For the deterministic transport methods, perturbation-based sensitivity and uncertainty analysis is always performed by using the 2D forward and adjoint transport solutions, and some well-known lattice codes already have the SU analysis ability, such as the Polaris in SCALE6.2.1 [3], CASMO5 [4], and AutoMOC [5]. For the direct 3D wholecore SU analysis, the Monte Carlo methods are preferred to perform the forward and adjoint calculations, and then the perturbation theory-based SU method is applied, and the SU analysis ability is also developed in some famous Monte Carlo codes in recent years, such as the TSUNAMI-3D module in SCALE [6], RMC [7], and McCARD [8].…”

Section: Introductionmentioning

confidence: 99%

Perturbation Theory-Based Whole-Core Eigenvalue Sensitivity and Uncertainty (SU) Analysis via a 2D/1D Transport Code

Hao

Liu

et al. 2020

Science and Technology of Nuclear Installations

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For nuclear reactor physics, uncertainties in the multigroup cross sections inevitably exist, and these uncertainties are considered as the most significant uncertainty source. Based on the home-developed 3D high-fidelity neutron transport code HNET, the perturbation theory was used to directly calculate the sensitivity coefficient of keff to the multigroup cross sections, and a reasonable relative covariance matrix with a specific energy group structure was generated directly from the evaluated covariance data by using the transforming method. Then, the “Sandwich Rule” was applied to quantify the uncertainty of keff. Based on these methods, a new SU module in HNET was developed to directly quantify the keff uncertainty with one-step deterministic transport methods. To verify the accuracy of the sensitivity and uncertainty analysis of HNET, an infinite-medium problem and the 2D pin-cell problem were used to perform SU analysis, and the numerical results demonstrate that acceptable accuracy of sensitivity and uncertainty analysis of the HNET are achievable. Finally, keff SU analysis of a 3D minicore was analyzed by using the HNET, and some important conclusions were also drawn from the numerical results.

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Eigenvalue implicit sensitivity and uncertainty analysis with the subgroup resonance-calculation method

Cited by 17 publications

References 11 publications

Basic Framework and Main Methods of Uncertainty Quantification

Basic Framework and Main Methods of Uncertainty Quantification

Nuclear data sensitivity analysis and uncertainty propagation in the KYADJ whole-core transport code

Perturbation Theory-Based Whole-Core Eigenvalue Sensitivity and Uncertainty (SU) Analysis via a 2D/1D Transport Code

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