TY - JOUR

T1 - Experimental validation of analytic formulas for the statistical uncertainty in the Feynman-α method

AU - Dubi, C.

AU - Kolin, A.

AU - Blaise, P.

AU - Geslot, B.

AU - Gilad, E.

N1 - Publisher Copyright:
© 2017 Elsevier Ltd

PY - 2017/8/1

Y1 - 2017/8/1

N2 - Noise experiments, and the Feynman-α method in particular, are considered a standard in-pile experiment, often used in zero power reactors in a sub critical configuration to estimate the reactivity level. In the Feynman-α method, the variance to mean ratio of event triggered neutron count is fitted on the so called Feynman-Y function, resulting with an experimental estimation of the α decay mode. In a recent study, analytic formulas for the expected statistical uncertainty in the Feynman-α method were derived, using the backward stochastic transport equation. The outline of the present study is to experimentally validate these analytic formulas. The formulas were implemented on 4 different signals, obtained from the MINERVE reactor at CEA Cadarache. For each of the four measurements, the signal was truncated in increasing measurement lengths (ranging from 1 to 60 min), in order to observe the functional behavior of the statistical error through time. Then, the measured statistical error was compared with the analytic estimation. Results indicate a very high correspondence between the expected statistical error and the measured one.

AB - Noise experiments, and the Feynman-α method in particular, are considered a standard in-pile experiment, often used in zero power reactors in a sub critical configuration to estimate the reactivity level. In the Feynman-α method, the variance to mean ratio of event triggered neutron count is fitted on the so called Feynman-Y function, resulting with an experimental estimation of the α decay mode. In a recent study, analytic formulas for the expected statistical uncertainty in the Feynman-α method were derived, using the backward stochastic transport equation. The outline of the present study is to experimentally validate these analytic formulas. The formulas were implemented on 4 different signals, obtained from the MINERVE reactor at CEA Cadarache. For each of the four measurements, the signal was truncated in increasing measurement lengths (ranging from 1 to 60 min), in order to observe the functional behavior of the statistical error through time. Then, the measured statistical error was compared with the analytic estimation. Results indicate a very high correspondence between the expected statistical error and the measured one.

UR - http://www.scopus.com/inward/record.url?scp=85017182701&partnerID=8YFLogxK

U2 - 10.1016/j.anucene.2017.03.031

DO - 10.1016/j.anucene.2017.03.031

M3 - Article

AN - SCOPUS:85017182701

SN - 0306-4549

VL - 106

SP - 84

EP - 90

JO - Annals of Nuclear Energy

JF - Annals of Nuclear Energy

ER -