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Development of subcritical measurement technique for unknown systems

Research Project

Project/Area Number 19K05328
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 31010:Nuclear engineering-related
Research InstitutionNagoya University

Principal Investigator

Endo Tomohiro  名古屋大学, 工学研究科, 准教授 (50377876)

Project Period (FY) 2019-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords未臨界 / 原子炉雑音 / 確率母関数 / 動的モード分解 / 即発中性子減衰定数 / データ同化 / ブートストラップ法 / 一点炉動特性 / 三次中性子相関法 / 実効中性子増倍率
Outline of Research at the Start

詳細な情報(幾何形状・核種組成)が不明あるいは不確かさが大きな核燃料を含んだ体系において、体系の未臨界度(どれだけ臨界未満なのかを示す指標)を測定する手法として、本研究では以下の研究に取り組む。
①原子炉雑音(中性子計数の統計的揺らぎ)の情報から、体系が臨界近傍か否かを判断する手法を開発し、実証試験を行う。
②過渡変化時における中性子計数率の時系列データの情報から、不確かさが大きな体系において未臨界度を概算する手法を開発し、実証試験を行う。
③複数の中性子検出器信号から、体系固有の基本モード成分に相当する測定量を抽出する手法を開発し、体系固有の測定量を活用して不確かさを低減可能か検討する。

Outline of Final Research Achievements

Based on the probability generating function of neutron counts, this study theoretically clarified that the ratio of (the nth-order neutron correlation) to (the (n-1)th power of 2nd-order neutron correlation) in the reactor noise measured for a subcritical system converges to the unique combination number of double factorial (2n-3)!! without depending on nuclide compositions and geometry as the system becomes to be critical. To estimate the subcriticality in dollar units from the time variation in the neutron count rates measured in an arbitrary state-change such as the reactivity and neutron source intensity, the time-domain decomposition-based integral method was newly proposed and demonstrated through actual measurements conducted at Japanese experimental facilities.
By applying the dynamic mode decomposition to the pulsed neutron source and Rossi-α methods, this study demonstrated that the prompt neutron decay constant of the fundamental mode component can be estimated robustly.

Academic Significance and Societal Importance of the Research Achievements

測定体系の詳細情報が不明であっても、定常状態における炉雑音測定結果から「中性子相関量の比と臨界固有の値(2n-3)!!の差」を調べることで、測定体系が深い未臨界状態にあるか否かの判定や、未臨界度の深さを概算できる可能性がある。また、本研究で新たに提案した時間領域分割積分法は、反応度だけでなく中性子源強度も同時に変化するような、燃料取出時の未臨界度測定技術として活用できる。
動的モード分解を適用することで、即発中性子減衰定数αの測定結果が検出器位置に依存する問題を解決できる。本研究成果は、体系固有のα測定結果を活用したデータ同化による、評価済み核データや核特性予測結果の不確かさ低減に貢献できる。

Report

(4 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (28 results)

All 2022 2021 2020 2019

All Journal Article (8 results) (of which Peer Reviewed: 8 results,  Open Access: 2 results) Presentation (20 results) (of which Int'l Joint Research: 9 results,  Invited: 1 results)

  • [Journal Article] Application of Dynamic Mode Decomposition to Rossi-α Method in a Critical State Using File-by-File Moving Block Bootstrap Method2022

    • Author(s)
      Endo Tomohiro, Nishioka Fuga, Yamamoto Akio, Watanabe Kenichi, Pyeon Cheol Ho
    • Journal Title

      Journal of Nuclear Science and Technology

      Volume: - Issue: 9 Pages: 1117-1126

    • DOI

      10.1080/00223131.2022.2030260

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Theoretical Derivation of a Unique Combination Number Hidden in the Higher-Order Neutron Correlation Factors Using the Pal-Bell Equation2022

    • Author(s)
      Endo Tomohiro, Nishioka Fuga, Yamamoto Akio, Watanabe Kenichi, Pyeon Cheol Ho
    • Journal Title

      Nuclear Science and Engineering

      Volume: - Issue: 2 Pages: 176-188

    • DOI

      10.1080/00295639.2022.2049992

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Proposal and Applicability of Estimated Criticality Lower-Limit Multiplication Factor Using the Bootstrap Method2021

    • Author(s)
      Hayashi Takuto, Endo Tomohiro, Yamamoto Akio
    • Journal Title

      Journal of Nuclear Science and Technology

      Volume: 58 Issue: 9 Pages: 1008-1017

    • DOI

      10.1080/00223131.2021.1902416

    • NAID

      120007147339

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Applicability of Dynamic Mode Decomposition to Estimate Fundamental Mode Component of Prompt Neutron Decay Constant from Experimental Data2021

    • Author(s)
      Nishioka Fuga, Endo Tomohiro, Yamamoto Akio, Yamanaka Masao, Pyeon Cheol Ho
    • Journal Title

      Nuclear Science and Engineering

      Volume: 196 Issue: 2 Pages: 133-143

    • DOI

      10.1080/00295639.2021.1968225

    • NAID

      120007186589

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Experiment of Unique Combination Number due to The Third-Order Neutron-Correlation2021

    • Author(s)
      Endo Tomohiro、Imai Sho、Watanabe Kenichi、Yamamoto Akio、Sakon Atsushi、Hashimoto Kengo、Yamanaka Masao、Pyeon Cheol Ho
    • Journal Title

      EPJ Web of Conferences

      Volume: 247 Pages: 09004-09004

    • DOI

      10.1051/epjconf/202124709004

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Data Assimilation Using Subcritical Measurement of Prompt Neutron Decay Constant2020

    • Author(s)
      Endo Tomohiro, Yamamoto Akio
    • Journal Title

      Nuclear Science and Engineering

      Volume: 194 Issue: 11 Pages: 1089-1104

    • DOI

      10.1080/00295639.2020.1720499

    • NAID

      120006894688

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Subcriticality Estimation Using Unscented Kalman Filter for Reactivity- and Source-Transients2020

    • Author(s)
      Endo Tomohiro, Yamamoto Akio, Yamanaka Masao, Pyeon Cheol Ho
    • Journal Title

      Transactions of the American Nuclear Society

      Volume: 123 Pages: 841-844

    • DOI

      10.13182/t123-33367

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Subcriticality measurement using time-domain decomposition-based integral method for simultaneous reactivity and source changes2020

    • Author(s)
      Endo Tomohiro、Nonaka Asahi、Imai Sho、Yamamoto Akio、Sakon Atsushi、Hashimoto Kengo
    • Journal Title

      Journal of Nuclear Science and Technology

      Volume: 57 Issue: 5 Pages: 607-616

    • DOI

      10.1080/00223131.2019.1706658

    • NAID

      120006839461

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Presentation] 面積比法に対する動的モード分解の適用2022

    • Author(s)
      西岡 楓賀, 遠藤 知弘, 山本 章夫, 山中 正朗, 卞 哲浩
    • Organizer
      日本原子力学会 2022年春の年会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 動的モード分解による即発中性子減衰定数α固有値計算の収束加速2022

    • Author(s)
      山口 響, 遠藤 知弘, 山本 章夫, 多田 健一
    • Organizer
      日本原子力学会 2022年春の年会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Area Ratio Method Using Dynamic Mode Decomposition2022

    • Author(s)
      遠藤 知弘, 西岡 楓賀, 山本 章夫, 山中 正朗, 卞 哲浩
    • Organizer
      PHYSOR 2022
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Perturbation-Theory-Based Sensitivity Analysis of Prompt Neutron Decay Constant for Water-Only System2021

    • Author(s)
      遠藤 知弘, 野口 晃広, 山本 章夫, 多田 健一
    • Organizer
      ANS 2021 Annual Meeting
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Theoretical Derivation of Unique Combination-Number for Higher Order Neutron Correlation Factors Based on Pal-Bell Equation2021

    • Author(s)
      遠藤 知弘, 山本 章夫
    • Organizer
      M&C 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Development of Estimation method for Prompt Neutron Decay Constant Using Dynamic Mode Decomposition2021

    • Author(s)
      西岡 楓賀, 遠藤 知弘, 山本 章夫, 山中 正朗, 卞 哲浩
    • Organizer
      M&C 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 炉雑音解析手法への動的モード分解の適用: (1)Rossi-α法に対する適用2021

    • Author(s)
      西岡 楓賀, 遠藤 知弘, 山本 章夫, 渡辺 賢一, 卞 哲浩
    • Organizer
      日本原子力学会 2021年秋の大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 炉雑音解析手法への動的モード分解の適用: (2)bootstrap法を用いた統計的不確かさ評価2021

    • Author(s)
      遠藤 知弘, 西岡 楓賀, 山本 章夫, 渡辺 賢一, 卞 哲浩
    • Organizer
      日本原子力学会 2021年秋の大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 軽水のみ体系に対する即発中性子減衰定数の核データ起因不確かさ評価2021

    • Author(s)
      遠藤 知弘, 野口 晃広, 山本 章夫
    • Organizer
      日本原子力学会 2021年春の年会
    • Related Report
      2020 Research-status Report
  • [Presentation] 光子-中性子結合確率母関数方程式に基づいたFeynman-α法の理論式導出2020

    • Author(s)
      遠藤 知弘, 山本 章夫
    • Organizer
      日本原子力学会 2020年秋の大会
    • Related Report
      2020 Research-status Report
  • [Presentation] Subcriticality Estimation using Unscented Kalman Filter for Reactivity- and Source-Transients2020

    • Author(s)
      Endo Tomohiro, Yamamoto Akio, Yamanaka Masao, Pyeon Cheol Ho
    • Organizer
      2020 ANS Virtual Winter Meeting
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Dynamic Mode Decompositionを用いた即発中性子減衰定数α推定手法の開発2020

    • Author(s)
      西岡 楓賀, 福井 悠平, 遠藤 知弘, 山本 章夫
    • Organizer
      第8回炉物理専門研究会
    • Related Report
      2020 Research-status Report
  • [Presentation] Unscentedカルマンフィルタを用いた未臨界度逆推定2020

    • Author(s)
      遠藤 知弘, 山本 章夫, 山中 正朗, 卞 哲浩
    • Organizer
      日本原子力学会 2020年春の年会
    • Related Report
      2019 Research-status Report
  • [Presentation] 時間領域分割積分法によるドル単位未臨界度測定2020

    • Author(s)
      野中 朝日, 遠藤 知弘, 今井 頌, 渡辺 賢一, 山本 章夫, 山中 正朗, 卞 哲浩
    • Organizer
      日本原子力学会 2020年春の年会
    • Related Report
      2019 Research-status Report
  • [Presentation] Dynamic Mode Decompositionを用いた即発中性子減衰定数α測定手法の開発2020

    • Author(s)
      西岡 楓賀, 遠藤 知弘, 山本 章夫, 山中 正朗, 卞 哲浩
    • Organizer
      日本原子力学会 2020年春の年会
    • Related Report
      2019 Research-status Report
  • [Presentation] Data assimilation using subcritical measurement of prompt neutron decay constant2019

    • Author(s)
      遠藤 知弘, 山本 章夫
    • Organizer
      M&C 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 非増倍体系での三次中性子相関法実験2019

    • Author(s)
      遠藤 知弘, 今井 頌, 渡辺 賢一, 山本 章夫
    • Organizer
      日本原子力学会 2019年秋の大会
    • Related Report
      2019 Research-status Report
  • [Presentation] Conversion from prompt neutron decay constant to subcriticality using point kinetics parameters based on alpha- and keff-eigenfunctions2019

    • Author(s)
      遠藤 知弘, 山本 章夫
    • Organizer
      ICNC 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Measurements of subcriticality in dollar units using time-domain decomposition based integral method2019

    • Author(s)
      野中 朝日, 遠藤 知弘, 山本 章夫, 山中 正朗, 佐野 忠史, 卞 哲浩
    • Organizer
      ICNC 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Effectiveness of subcritical measurement at solid moderated KUCA core for reducing nuclear data-induced uncertainties in other light water reactor analysis2019

    • Author(s)
      遠藤 知弘, 山本 章夫
    • Organizer
      Reactor Physics Asia 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research

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Published: 2019-04-18   Modified: 2023-01-30  

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