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Uncertainty quantification of reactor analysis method at design extension condition: A new estimation method based on covariance between input and prediction error

Research Project

Project/Area Number 16K06956
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Nuclear engineering
Research InstitutionNagoya University

Principal Investigator

Yamamoto Akio  名古屋大学, 工学研究科, 教授 (50362265)

Co-Investigator(Kenkyū-buntansha) 千葉 豪  北海道大学, 工学研究院, 准教授 (50421524)
ろーいえん ふれーどりっく  福井大学, 附属国際原子力工学研究所, 准教授 (30569017)
遠藤 知弘  名古屋大学, 工学研究科, 助教 (50377876)
Research Collaborator Khalik Abdel Hany  
Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords炉心解析 / 計算モデル / 計算誤差 / 炉心特性 / 相関 / クリギング法 / 主成分分析 / 過酷事故条件 / ガウスプロセスモデル / 原子炉 / 予測不確かさ定量化 / 誤差相関 / 設計拡張状態
Outline of Final Research Achievements

A new evaluation method for prediction error of neutronics simulations under severe accident conditions of a nuclear reactor has been developed. The present method utilizes the Kriging method, which is used in the field of geostatstics, and the principal component analysis. Calculation error of simulation is evaluated by learning the correlation between the parameters used in the simulation and the calculation errors.
The present method is applied to predict the error of effective multiplication factor of LWR fuel assemblies for various conditions including from normal operation to severe accident conditions. The difference of multiplication factors obtained by the deterministic and the continuous energy Monte-Carlo methods is considered as the calculation error. The results indicate that the present method accurately estimates the calculation error for wide range of reactor conditions.

Academic Significance and Societal Importance of the Research Achievements

原子炉の安全性は、解析計算により確認される。従って、解析計算の信頼性を確認しておくことは、極めて重要である。原子炉の通常運転時については、実機の測定データが多数得られており、これを用いて解析計算の精度や信頼性を確認することが出来る。一方、過酷事故条件は特殊な実験装置を用いなければ再現が困難であり、解析計算の信頼性を確認できるデータは限られる。
本研究では、限られた検証データを基に、過酷事故条件を含む幅広い状態で解析計算の計算誤差(予測精度)を評価する手法を開発した。これは、解析計算の信頼性、ひいては、原子炉の安全性確保に寄与する。

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (24 results)

All 2019 2018 2017 2016

All Journal Article (6 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 6 results,  Open Access: 1 results,  Acknowledgement Compliant: 3 results) Presentation (18 results) (of which Int'l Joint Research: 16 results)

  • [Journal Article] Utilization of Region-wise Even-Parity Discontinuity Factor to Reduce Discretization Error of MOC2019

    • Author(s)
      A. Yamamoto, A. Giho, T. Endo
    • Journal Title

      Nucl. Sci. Eng.

      Volume: 193 Issue: 3 Pages: 253-268

    • DOI

      10.1080/00295639.2018.1516961

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Flux Region Assignment Method using Ray Trace Information for the Method of Characteristics to Improve Cache Efficiency2018

    • Author(s)
      A. Yamamoto, A. Giho, T. Endo
    • Journal Title

      Nucl. Sci. Eng.

      Volume: 192 Issue: 3 Pages: 240-253

    • DOI

      10.1080/00295639.2018.1501978

    • NAID

      120006723418

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Recent developments in the GENESIS code based on the Legendre polynomial expansion of angular flux method2017

    • Author(s)
      A. Yamamoto, A. Giho, T. Endo
    • Journal Title

      Nucl. Eng. Technol.

      Volume: 49 Issue: 6 Pages: 1143-1156

    • DOI

      10.1016/j.net.2017.06.016

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Estimation of Modeling Approximation Errors using Data Assimilation with the Minimum Variance Approach2017

    • Author(s)
      A. Yamamoto, K. Kinoshita, T. Endo
    • Journal Title

      J. Nucl. Sci. Technol.

      Volume: 54 Issue: 4 Pages: 459-471

    • DOI

      10.1080/00223131.2017.1286271

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Estimation of Sensitivity Coefficients of Core Characteristics based on Reduced-order Modeling using Sensitivity Matrix of Assembly Characteristics2017

    • Author(s)
      R. Katano, T. Endo, A. Yamamoto, M. Abdo, H. Abdel-Khalik
    • Journal Title

      J. Nucl. Sci. Technol.

      Volume: 54 Issue: 6 Pages: 637-647

    • DOI

      10.1080/00223131.2017.1299052

    • NAID

      120006328988

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] GENESIS; A Three-dimensional Heterogeneous Transport Solver based on the Legendre Polynomial Expansion of Angular Flux Method2017

    • Author(s)
      A. Yamamoto, A. Giho, T. Endo
    • Journal Title

      Nucl. Sci. Eng.

      Volume: 185 Issue: 1 Pages: 1-22

    • DOI

      10.1080/00295639.2016.1273002

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] サロゲートモデルを用いた過酷事故条件における解析手法起因誤差の予測モデルの開発2019

    • Author(s)
      花井 智海, 遠藤 知弘, 山本 章夫, 山本 健土, 大岡 靖典, 長野 浩明
    • Organizer
      日本原子力学会 2019年春の大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Estimation of Region-Wise Even-Parity Discontinuity Factor for MOC Through Iterative Procedure2018

    • Author(s)
      A. Yamamoto, A. Giho, T. Endo
    • Organizer
      PHYSOR2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cache Efficient Flux Region Assignment for the Method of Characteristics2018

    • Author(s)
      A. Yamamoto, A. Giho, T. Endo
    • Organizer
      PHYSOR2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Development of Reduced Order Model of Severe Accident Analysis Code for Probabilistic Safety Margin Analysis2018

    • Author(s)
      M. Matsushita, T. Endo, A. Yamamoto, T. Kitao
    • Organizer
      PHYSOR2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Quantification of Modeling Approximation Error of Pin-Cell Calculation Using Kriging and Principal Component Analysis2018

    • Author(s)
      T. Hanai, T. Endo, A. Yamamoto, K. Yamamoto, Y. Ohoka, H. Nagano
    • Organizer
      American Nuclear Society 2018 Annual Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 主成分分析及びKrigingを用いた解析手法起因誤差の予測モデルの開発2018

    • Author(s)
      花井 智海, 遠藤 知弘, 山本 章夫, 山本 健土, 大岡 靖典, 長野 浩明
    • Organizer
      日本原子力学会 2018年秋の大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] A Simple Treatment of Bowed Assembly Gap Through Correction of Cross Section2018

    • Author(s)
      A. Yamamoto, T. Endo, H. Nagano, Y. Ohoka, K. Yamamoto
    • Organizer
      American Nuclear Society 2018 Winter Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Transport Consistent Diffusion Coefficient for CMFD Acceleration2018

    • Author(s)
      A. Yamamoto, A. Giho, T. Endo
    • Organizer
      American Nuclear Society 2018 Winter Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Reduction of Cross Section Table Size for Core Analysis Using Dimensionality Reduction Technique2018

    • Author(s)
      M. Yamamoto, T. Endo, A. Yamamoto
    • Organizer
      American Nuclear Society 2018 Winter Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Application of GENESIS Code to the Kobayashi 3D Benchmark Problem2017

    • Author(s)
      A. Yamamoto, A. Giho, T. Endo
    • Organizer
      American Nuclear Society
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Application of the Bias Factor Method Using the Random Sampling Technique for Prediction Accuracy Improvement of Neutronics Parameters of BWR2017

    • Author(s)
      M. Ito, T. Endo, A. Yamamoto, Y. Kuroda, T. Yoshii
    • Organizer
      American Nuclear Society
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Estimation of Modeling Approximation Error of Core Analysis Using the Surrogate Model with Kriging2017

    • Author(s)
      T. Hanai, T. Endo, Y. Kodama, Y. Ohoka, A. Yamamoto
    • Organizer
      American Nuclear Society
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Development of GENESIS, a Three-dimensional Heterogeneous Transport Code based on the LEAF Method2017

    • Author(s)
      Yamamoto, A. Giho, T. Endo
    • Organizer
      M&C2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Uncertainty Quantification of Activation Due to Cross Section Data in Neutron Shielding Calculation2017

    • Author(s)
      K. Yokoi, T. Endo, A. Yamamoto, R. Mizuno, Y. Kimura
    • Organizer
      ICAPP2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Uncertainty Quantification due to Modeling Approximation Error of Core Analysis Using the Kriging Method2017

    • Author(s)
      T. Hanai, T. Endo, Y. Kodama, Y. Ohoka, A. Yamamoto
    • Organizer
      RPHA2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Application of Simplified Pn Approximation to Angular Distribution of Neutron Source in MOC Calculations2016

    • Author(s)
      A. Yamamoto, A. Giho, T. Endo
    • Organizer
      American Nuclear Society
    • Place of Presentation
      Caesars Palace, Las Vegas, UT
    • Year and Date
      2016-11-06
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Comparison of the Numerical Stability between CMFD and GCMR with Stabilization Techniques2016

    • Author(s)
      A. Giho, A. Yamamoto
    • Organizer
      American Nuclear Society
    • Place of Presentation
      Caesars Palace, Las Vegas, UT
    • Year and Date
      2016-11-06
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Uncertainty Quantification of Activation Due to Cross Section Data in Neutron Shielding Calculation2016

    • Author(s)
      K. Yokoi, T. Endo, A. Yamamoto, Y. Kimura, R. Mizuno
    • Organizer
      American Nuclear Society
    • Place of Presentation
      Caesars Palace, Las Vegas, UT
    • Year and Date
      2016-11-06
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research

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Published: 2016-04-21   Modified: 2020-03-30  

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