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research article

Welch Method and Bootstrapping Applied to Subcritical Gamma Noise

Darby, Flynn B.
•
Tyler, Schuyler J.
•
Pakari, Oskari V.  
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January 26, 2025
Nuclear Science And Engineering

We measured the prompt neutron decay constant $$\alpha $$alpha of the CROCUS zero-power reactor at the Swiss Federal Institute of Technology Lausanne using cross-power spectral density (CPSD) analysis of gamma-gamma correlations from two trans-stilbene organic scintillators positioned near the reactor core. We measured critical and subcritical states, with water levels ranging from 960 mm (critical) to 800 mm ($$\rho = - 1.4$$rho=-1.4 $ subcritical). Our analysis used the Welch method, dividing signal segments for fast Fourier transform (FFT) frequency analysis and applying bootstrapping uncertainty quantification that uses Welch-defined segments. Results demonstrated a clear increase in the measured $$\alpha $$alpha as reactor reactivity decreased, distinguishing critical from subcritical conditions. At the 960-mm critical level, $$\alpha $$alpha was estimated at 155.9 $$ \pm $$+/- 0.7 s-1, and for the 800-mm subcritical level, $$\alpha $$alpha increased significantly to 367.3 $$ \pm $$+/- 6.9 s-1. A linear regression of subcritical states yielded a critical estimate of 154.0 $$ \pm $$+/- 3.1 s-1, aligning with the static $$\alpha $$alpha estimate at critical. The bootstrapping method produced normally distributed $$\alpha $$alpha estimates, confirming data consistency. The gamma CPSD $$\alpha $$alpha estimates clearly distinguish reactor states and improve monitoring of zero-power reactors. The future deployment of modular and microreactors as potential candidates for noise analysis is demonstrated in CROCUS, particularly zero-power mock-ups of new designs. The improvement of noise analysis in the subcritical domain from this work will support experimental data for reactor deployment and procedure.

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Type
research article
DOI
10.1080/00295639.2024.2445469
Web of Science ID

WOS:001405130200001

Author(s)
Darby, Flynn B.
•
Tyler, Schuyler J.
•
Pakari, Oskari V.  
•
Lamirand, Vincent P.  
•
Clarke, Shaun D.
•
Pautz, Andreas  
•
Pozzi, Sara A.
Date Issued

2025-01-26

Publisher

TAYLOR & FRANCIS INC

Published in
Nuclear Science And Engineering
Subjects

Welch method

•

bootstrapping

•

fast Fourier transform

•

CROCUS

•

noise

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cross-power spectral density

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LRS  
FunderFunding(s)Grant NumberGrant URL

Consortium for Monitoring, Technology, and Verification under the U.S. Department of Energy National Nuclear Security

EPFL

Available on Infoscience
February 3, 2025
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/246441
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