Advanced Disadvantage Factor Method for Homogenized Effective Cross Section Calculation in FCM fuel

Conventional PWR fuel only needs to consider the single heterogeneity between fuel rods, but FCM fuel also needs to consider the double heterogeneity between particles and matrix. Disadvantage factor method is a typical method to solve double heterogeneity. But there are still some problems in this...

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Main Author: YI Siyu;LIU Zhouyu;YIN Wen
Format: Article
Language:English
Published: Editorial Board of Atomic Energy Science and Technology 2022-01-01
Series:Yuanzineng kexue jishu
Subjects:
Online Access:https://www.aest.org.cn/CN/10.7538/yzk.2021.youxian.0515
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author YI Siyu;LIU Zhouyu;YIN Wen
author_facet YI Siyu;LIU Zhouyu;YIN Wen
author_sort YI Siyu;LIU Zhouyu;YIN Wen
collection DOAJ
description Conventional PWR fuel only needs to consider the single heterogeneity between fuel rods, but FCM fuel also needs to consider the double heterogeneity between particles and matrix. Disadvantage factor method is a typical method to solve double heterogeneity. But there are still some problems in this method. Firstly, the equivalent model for calculating the disadvantage factor is established by the conservation of volume weight, which introduces the assumption that the particles are uniformly distributed in the infinite matrix and cannot consider the macroscopic heterogeneity. Secondly, the disadvantage factor in the non-resonace energy region is obtained by ensuring the conservation of first flight collision probability in the 3D penetration model, but this method cannot meet the requirements of high-precision calculation in FCM fuel. To solve these problems, this paper proposes an improved disadvantage factor method based on the previous work. The improved disadvantage factor method mainly makes two improvements on the traditional method. Firstly, equivalent one-dimensional sphere model based on the Dancoff factor replaces the volume-weight equivalent model. Secondly, in the processing of non-resonance energy range, eigenvalue calculation is used in the new model to obtain multi-group disadvantage factors. This method was implemented in NECP-X and verified in different working conditions and problems of different scales. All the results are in good agreement with the reference solutions, which proves that the proposed method can effectively deal with the double heterogeneity in FCM fuel and obtain accurate effective multi-group cross sections.
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spelling doaj.art-e3b729f6443a4cf694b9438883791f272022-12-22T04:36:36ZengEditorial Board of Atomic Energy Science and TechnologyYuanzineng kexue jishu1000-69312022-01-015616879Advanced Disadvantage Factor Method for Homogenized Effective Cross Section Calculation in FCM fuelYI Siyu;LIU Zhouyu;YIN Wen 0School of Nuclear Science and Technology, Xi’an Jiaotong University, Xi’an 710049, China Conventional PWR fuel only needs to consider the single heterogeneity between fuel rods, but FCM fuel also needs to consider the double heterogeneity between particles and matrix. Disadvantage factor method is a typical method to solve double heterogeneity. But there are still some problems in this method. Firstly, the equivalent model for calculating the disadvantage factor is established by the conservation of volume weight, which introduces the assumption that the particles are uniformly distributed in the infinite matrix and cannot consider the macroscopic heterogeneity. Secondly, the disadvantage factor in the non-resonace energy region is obtained by ensuring the conservation of first flight collision probability in the 3D penetration model, but this method cannot meet the requirements of high-precision calculation in FCM fuel. To solve these problems, this paper proposes an improved disadvantage factor method based on the previous work. The improved disadvantage factor method mainly makes two improvements on the traditional method. Firstly, equivalent one-dimensional sphere model based on the Dancoff factor replaces the volume-weight equivalent model. Secondly, in the processing of non-resonance energy range, eigenvalue calculation is used in the new model to obtain multi-group disadvantage factors. This method was implemented in NECP-X and verified in different working conditions and problems of different scales. All the results are in good agreement with the reference solutions, which proves that the proposed method can effectively deal with the double heterogeneity in FCM fuel and obtain accurate effective multi-group cross sections.https://www.aest.org.cn/CN/10.7538/yzk.2021.youxian.0515fcm fuelhomogenized effective cross sectiondouble heterogeneitydisadvantage factor methoddancoff factor
spellingShingle YI Siyu;LIU Zhouyu;YIN Wen
Advanced Disadvantage Factor Method for Homogenized Effective Cross Section Calculation in FCM fuel
Yuanzineng kexue jishu
fcm fuel
homogenized effective cross section
double heterogeneity
disadvantage factor method
dancoff factor
title Advanced Disadvantage Factor Method for Homogenized Effective Cross Section Calculation in FCM fuel
title_full Advanced Disadvantage Factor Method for Homogenized Effective Cross Section Calculation in FCM fuel
title_fullStr Advanced Disadvantage Factor Method for Homogenized Effective Cross Section Calculation in FCM fuel
title_full_unstemmed Advanced Disadvantage Factor Method for Homogenized Effective Cross Section Calculation in FCM fuel
title_short Advanced Disadvantage Factor Method for Homogenized Effective Cross Section Calculation in FCM fuel
title_sort advanced disadvantage factor method for homogenized effective cross section calculation in fcm fuel
topic fcm fuel
homogenized effective cross section
double heterogeneity
disadvantage factor method
dancoff factor
url https://www.aest.org.cn/CN/10.7538/yzk.2021.youxian.0515
work_keys_str_mv AT yisiyuliuzhouyuyinwen advanceddisadvantagefactormethodforhomogenizedeffectivecrosssectioncalculationinfcmfuel