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Journal Articles

Monte Carlo uncertainty quantification of the effective delayed neutron fraction

Iwamoto, Hiroki; Stankovskiy, A.*; Fiorito, L.*; Van den Eynde, G.*

Journal of Nuclear Science and Technology, 55(5), p.539 - 547, 2018/05

 Times Cited Count:9 Percentile:67.52(Nuclear Science & Technology)

The applicability of Monte Carlo techniques, namely the Monte Carlo sensitivity method and the random-sampling method, for uncertainty quantification of the effective delayed neutron fraction $$beta_{rm eff}$$ is investigated using the continuous-energy Monte Carlo transport code, MCNP, from the perspective of statistical convergence issues. This study focuses on the nuclear data as one of the major sources of $$beta_{rm eff}$$ uncertainty. For validation of the calculated $$beta_{rm eff}$$, a critical configuration of the VENUS-F zero-power reactor was used. It is demonstrated that Chiba's modified $$k$$-ratio method is superior to Bretscher's prompt $$k$$-ratio method in terms of reducing the statistical uncertainty in calculating not only $$beta_{rm eff}$$ but also its sensitivities and the uncertainty due to nuclear data. From this result and a comparison of uncertainties obtained by the Monte Carlo sensitivity method and the random-sampling method, it is shown that the Monte Carlo sensitivity method using Chiba's modified $$k$$-ratio method is the most practical for uncertainty quantification of $$beta_{rm eff}$$. Finally, total $$beta_{rm eff}$$ uncertainty due to nuclear data for the VENUS-F critical configuration is determined to be approximately 2.7% with JENDL-4.0u, which is dominated by the delayed neutron yield of $$^{235}$$U.

Journal Articles

Development of a standard data base for FBR core nuclear design, 12; Analysis of FCA X-1 experiments and consistency evaluation using cross-section adjustment

Yokoyama, Kenji*; Numata, Kazuyuki*; Ishikawa, Makoto*; Oigawa, Hiroyuki; Iijima, Susumu

JNC-TY9400 2000-006, 168 Pages, 2000/04

no abstracts in English

Journal Articles

Precise determination of $$beta$$$$_{eff}$$ for water-moderated U and U-Pu cores by a method using buckling coefficient of reactivity

Suzaki, Takenori; Sakurai, Kiyoshi; Nakajima, Ken; Horiki, Oichiro*

Proceedings of 6th International Conference on Nuclear Criticality Safety (ICNC '99), 1, p.386 - 394, 1999/00

no abstracts in English

Journal Articles

Comparison of subcriticalities evaluated with exponential experiment and Monte Carlo calculation

Sakurai, Kiyoshi; Yamamoto, Toshihiro

Nihon Genshiryoku Gakkai-Shi, 40(4), p.304 - 311, 1998/00

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

no abstracts in English

Journal Articles

Benchmark experiments of effective delayed neutron fraction $$beta$$$$_{eff}$$ in JAERI-FCA

Sakurai, Takeshi; Okajima, Shigeaki; ; Osugi, Toshitaka; M.Martini*; P.Chaussonnet*; H.Philibert*; I.P.Matveenko*; S.P.Belov*; V.A.Doulin*; et al.

Proc. of Int. Conf. on Physics of Nucl. Science and Technol., 1, p.182 - 189, 1998/00

no abstracts in English

Journal Articles

Status of international benchmark experiment for effective delayed neutron fraction ($$beta$$$$_{eff}$$)

Okajima, Shigeaki; Sakurai, Takeshi; Mukaiyama, Takehiko

JAERI-Conf 97-005, 00(00), p.71 - 76, 1997/00

no abstracts in English

Oral presentation

Asymptotic behavior of power in subcritical state based on one-point kinetics equation

Yamane, Yuichi

no journal, , 

In the condition such as erroneous transport of nuclear fuel solution in fuel reprocessing plant, criticality approach in reactor and critical assembly, the retrieval work of fuel debris in FUKUSHIMA DAI-ICHI, and so on, in which an amount of reactivity is inserted into nuclear fuel in a subcritical state, an equation is derived which relates the total reactivity to the asymptotic behavior of the power based on one-point kinetics equation. Existing methods of reactivity measurement needs prompt neutron lifetime, the calculation of which requires the information of the composition and structure of the nuclear fuel. But the new equation doesn't include prompt neutron lifetime. Therefore, it is clearly shown the possibility of reactivity measurement only with neutron counts without the information of inside the nuclear fuel. The power profile calculated by using the new equation shows good agreement with that by using one-point kinetics code.

Oral presentation

Reactivity estimation based on asymptotic behavior of power in subcritical state

Yamane, Yuichi

no journal, , 

In the condition such as erroneous transport of nuclear fuel solution in fuel reprocessing plant, criticality approach in reactor and critical assembly, the retrieval work of fuel debris in FUKUSHIMA DAI-ICHI, and so on, in which an amount of reactivity is inserted into nuclear fuel in a subcritical state, an equation is derived which relates the total reactivity to the asymptotic behavior of the power based on one-point kinetics equation. Based on the new equation, a reactivity measurement method has been developed. The method was applied to an experimental data to find that the difference between the experimental and estimated reactivities was 4%.

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