Feynman-Alpha and Rossi-Alpha Formulas with Delayed Neutrons for Subcritical Reactors Driven by Pulsed Non-Poisson Sources with Correlation between Different Pulses

Rana, Y. S.; Degweker, S.B.

doi:10.13182/nse11-a12499

Cited by 5 publications

(2 citation statements)

References 18 publications

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“…Neutron sources of future ADS will operate with spallation sources and/or in pulsed mode, which have a non-Poisson character. However, the generalisation of the treatment below to non-Poisson processes has been already done in other context (see, e.g., [2,4,5]), and the treatment presented in this paper can also be extended to the case of non-Poisson sources in a straightforward way.…”

Section: Joint Distribution Of the Numbers Of Particlesmentioning

confidence: 99%

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Two-Group Theory of the Feynman-Alpha Method for Reactivity Measurement in ADS

Пал

Pázsit

2012

Science and Technology of Nuclear Installations

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The theory of the Feynman-alpha method, which is used to determine the subcritical reactivity of systems driven by an external source such as an ADS, is extended to two energy groups with the inclusion of delayed neutrons. This paper presents a full derivation of the variance to mean formula with the inclusion of two energy groups and delayed neutrons. The results are illustrated quantitatively and discussed in physical terms.

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Section: Joint Distribution Of the Numbers Of Particlesmentioning

confidence: 99%

“…An overview of the field can be found in [2]. The most general treatment of all the above mentioned cases is found in Degweker and Rana [3] and Rana and Degweker [4,5].…”

Section: Introductionmentioning

confidence: 99%

Two-Group Theory of the Feynman-Alpha Method for Reactivity Measurement in ADS

Пал

Pázsit

2012

Science and Technology of Nuclear Installations

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Principles of Neutron Coincidence Counting

Swinhoe,

Ensslin,

Hutchinson

et al. 2024

Nondestructive Assay of Nuclear Materials for Safeguards and Security

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This chapter describes the principles involved with using neutron coincidences that obtain more information about a measured sample than through singles counting alone. The chapter describes the origin of neutron correlations and how they manifest themselves in the neutron pulse train from a detector. The Rossi-α distribution is presented. The chapter then describes measurement and analysis methods used to extract and analyze correlated counting rates, such as the Feynman variance to mean method and the shift register coincidence circuit. These methods can be used to estimate fission rate and neutron multiplication. Dead time corrections, multiple pulsing and the uncertainties resulting from counting statistics are presented. Several passive methods for the determination of 240Pueffective mass are presented in detail: ‘passive calibration curve’, ‘known alpha’ and ‘known multiplication’. This is followed by a description of active coincidence methods, in which an external neutron source is used to induce fission in the item of interest. This section includes a discussion of the selection of the external source, the use of fast and thermal interrogation modes and a presentation of measurement uncertainties. One example is given of an active technique to measure uranium linear density and burnable poison simultaneously.

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Verification of Feynman-α formula including the effect of delayed neutrons

Yamamoto,

Sakamoto

2023

Annals of Nuclear Energy

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Feynman-Alpha and Rossi-Alpha Formulas with Delayed Neutrons for Subcritical Reactors Driven by Pulsed Non-Poisson Sources with Correlation between Different Pulses

Cited by 5 publications

References 18 publications

Two-Group Theory of the Feynman-Alpha Method for Reactivity Measurement in ADS

Two-Group Theory of the Feynman-Alpha Method for Reactivity Measurement in ADS

Principles of Neutron Coincidence Counting

Verification of Feynman-α formula including the effect of delayed neutrons

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