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Journal Articles

Generalized extreme value analysis of criticality tallies in Monte Carlo calculation

Ueki, Taro

Progress in Nuclear Energy, 159, p.104630_1 - 104630_9, 2023/05

 Times Cited Count:0 Percentile:0.01(Nuclear Science & Technology)

In this work, the methodology of Generalized Extreme Value (GEV) is applied to criticality tallies in Monte Carlo fission source cycles in order to evaluate the utility value of the distribution tail ends. Numerical results obtained under a sufficiently large number of particles per cycle show that the extreme value index (EVI) in GEV falls within the range of Weibull distribution including the EVI of Gumbel distribution as the role of a boundary value layer. GEV is also applied to a historically-challenging loosely-coupled system for demonstrating population diagnosis under an insufficient number of particles per cycle. It turns out that the transition from one equilibrium to other equilibrium makes the EVIs of upper and lower distribution tail ends depart from each other so that one of them falls in the range of Weibull distribution and the other in that of Frechet distribution.

JAEA Reports

HAND: A Handy criticality analysis tool for fuel debris

Tada, Kenichi

JAEA-Data/Code 2020-014, 30 Pages, 2020/10

JAEA-Data-Code-2020-014.pdf:2.84MB

The decommissioning of TEPCO's Fukushima Daiichi Nuclear Power Plant accident is one of the most important issues in Japan. In the process of the decommissioning, preventing radiation exposure of workers is imperative originating in nuclear criticality of fuel debris. This study provides the handy tool enabling the analysis on nuclear criticality of fuel debris. The developed analysis tool named as HAND enables estimation of the criticality of fuel debris in short time. HAND deduces the range of parameters such as the size and composition, in which the criticality of fuel debris is specified. By selecting the range of the parameters using HAND in advance, total calculation time of the detail analysis will be reduced. Since the input data of HAND is designed to be simple and the output of HAND is to be user friendly, this tool is expected to be also an intuitive tool to study the criticality of fuel debris. This report explains the outline of the HAND and input instructions for HAND.

Journal Articles

Judgment on convergence-in-distribution of Monte Carlo tallies under autocorrelation

Ueki, Taro

Nuclear Science and Engineering, 194(6), p.422 - 432, 2020/06

 Times Cited Count:0 Percentile:0.01(Nuclear Science & Technology)

In Monte Carlo criticality calculation, the convergence-in-distribution check of the sample mean of tallies can be approached in terms of the influence range of autocorrelation. In this context, it is necessary to evaluate the attenuation of autocorrelation coefficients over lags. However, in just one replica of calculation, it is difficult to accurately estimate small ACCs at large lags because of the comparability with statistical uncertainty. This paper proposes a method to overcome such an issue. Its essential component is the transformation of a standardized time series of tallies so that the resulting series asymptotically converges in distribution to Brownian motion. The convergence-in-distribution check is constructed based on the independent increment property of Brownian motion. The judgment criterion is set by way of the spectral analysis of fractional Brownian motion. Numerical results are demonstrated for extreme and standard types of criticality calculation.

Journal Articles

Reliable method for fission source convergence of Monte Carlo criticality calculation with Wielandt's method

Yamamoto, Toshihiro; Miyoshi, Yoshinori

Journal of Nuclear Science and Technology, 41(2), p.99 - 107, 2004/02

 Times Cited Count:38 Percentile:90.12(Nuclear Science & Technology)

A new algorithm of Monte Carlo criticality calculations for implementing Wielandt's method is developed. In this algorithm, part of fission neutrons emitted during random walk processes are tracked within the same generation, and thus a fission source distribution in the next generation spread more widely. Applying this method intensifies a neutron interaction effect even in a loosely-coupled array where conventional Monte Carlo criticality calculation methods have difficulties, and a converged fission source distribution can be obtained with fewer generations. Computing time spent for one generation, however, increases because of tracking fission neutrons within the same generation, which eventually results in an increase of total computing time up to convergence. However, since a fission source convergence is attained with fewer source iterations, a reliable determination of convergence can easily be made even in a system with a slow convergence.

JAEA Reports

Derivation of correction factor to be applied for calculated results of BWR fuel isotopic composition by ORIGEN2.1 code

Nomura, Yasushi; Mochizuki, Hiroki*

JAERI-Tech 2002-068, 131 Pages, 2002/11

JAERI-Tech-2002-068.pdf:5.59MB

no abstracts in English

JAEA Reports

Annual report of nuclear code evaluation committee for fiscal 2000 year

Nuclear Code Evaluation Special Committee of Nuclear Code Research Committee

JAERI-Review 2002-003, 97 Pages, 2002/03

JAERI-Review-2002-003.pdf:8.64MB

no abstracts in English

Journal Articles

Results of OECD/NEA Monte Carlo source convergence benchmark problem 3

Miyoshi, Yoshinori; Yamamoto, Toshihiro

Transactions of the American Nuclear Society, 87, p.149 - 150, 2002/00

no abstracts in English

JAEA Reports

Estimation of biases for inserted reactivity estimation of JCO criticality accident

Yamamoto, Toshihiro; Nakamura, Takemi*; Miyoshi, Yoshinori

JAERI-Data/Code 2001-001, 30 Pages, 2001/02

JAERI-Data-Code-2001-001.pdf:1.53MB

no abstracts in English

JAEA Reports

Technical development on burn-up credit for spent LWR fuels

Nakahara, Yoshinori; Suyama, Kenya; Suzaki, Takenori

JAERI-Tech 2000-071, 381 Pages, 2000/10

JAERI-Tech-2000-071.pdf:17.6MB

no abstracts in English

Journal Articles

Fission source convergence of Monte Carlo criticality calculations in weakly coupling fissile arrays

Yamamoto, Toshihiro; Nakamura, Takemi*; Miyoshi, Yoshinori

Journal of Nuclear Science and Technology, 37(1), p.41 - 52, 2000/01

no abstracts in English

Journal Articles

Joint IPSN/JAERI comparative calculations of 30 revised benchmarks on annular cylinders of Pu nitrate solutions

J.Anno*; G.Poullot*; P.Grivot*; Yamamoto, Toshihiro; Miyoshi, Yoshinori

Proceedings of 6th International Conference on Nuclear Criticality Safety (ICNC '99), 3, p.1065 - 1074, 1999/00

no abstracts in English

Journal Articles

Exponential experiments of PWR spent fuel assemblies for acquiring subcriticality benchmarks usable in burnup credit evaluations

Suzaki, Takenori; Kurosawa, Masayoshi; Hirose, Hideyuki; Yamamoto, Toshihiro; Nakajima, Ken; ; *; *

ICNC 95: 5th Int. Conf. on Nuclear Criticality Safety, Vol. I, 0, p.1B.11 - 1B.18, 1995/00

no abstracts in English

Journal Articles

Dual and multiple reciprocity formulations applied to fission neutron source problems

; C.A.Brebbia*

Boundary Elements XIV, Vol.1; Field Problems and Applications, p.25 - 38, 1992/00

no abstracts in English

Journal Articles

Criticality safety analysis in nuclear fuel cycle

Shimooke, Takanori; ;

Nihon Genshiryoku Gakkai-Shi, 22(4), p.223 - 230, 1980/00

 Times Cited Count:0 Percentile:0.02(Nuclear Science & Technology)

no abstracts in English

Oral presentation

Uncertainty of criticality analysis of UO$$_{2}$$-concrete system under randomization

Ueki, Taro

no journal, , 

Analysis framework under indeterminate material distribution is investigated for the Monte Carlo (MC) criticality calculation of continuously mixed media formed via molten core concrete interaction. Randomized Weierstrass functions (RWF) are utilized to represent the volume fractions of constituent materials. The possibility of several percent fluctuation of effective multiplication factor is shown by the MC simulation with delta-tracking.

Oral presentation

Convergence criterion in Monte Carlo criticality calculation based on stochastic differential equation

Ueki, Taro

no journal, , 

In Monte Carlo criticality calculation, the convergence judgment tool for the sample mean of tallies is not established yet within the framework of convergence-in-distribution in probability theory. In this presentation, we report a convergence criterion based on stochastic differential equation. Its efficacy is demonstrated by the power spectrum of tallies.

23 (Records 1-20 displayed on this page)