Nuclear Reactivity Calculation with Reduction of Fluctuations

This article presents a study based on a series of numerical experiments. It demonstrates the possibility of reducing fluctuations in the calculation of reactivity using the second Bernoulli number based on the approximation of the Euler-Maclaurin formula. This approach requires knowledge of the...

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Main Authors: Daniel Suescun-Diaz, Geraldyne Ule-Duque, Jesus Antonio Chala-Casanova
Format: Article
Language:English
Published: Universitas Indonesia 2023-07-01
Series:International Journal of Technology
Subjects:
Online Access:https://ijtech.eng.ui.ac.id/article/view/5970
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author Daniel Suescun-Diaz
Geraldyne Ule-Duque
Jesus Antonio Chala-Casanova
author_facet Daniel Suescun-Diaz
Geraldyne Ule-Duque
Jesus Antonio Chala-Casanova
author_sort Daniel Suescun-Diaz
collection DOAJ
description This article presents a study based on a series of numerical experiments. It demonstrates the possibility of reducing fluctuations in the calculation of reactivity using the second Bernoulli number based on the approximation of the Euler-Maclaurin formula. This approach requires knowledge of the first three derivatives, which are implemented progressively. The fluctuations are assumed to occur around an average value of the neutron density with a Gaussian distribution. Jitter reduction is performed with a first-order delayed low-pass filter for different forms of neutron population density, with different time steps and with different filter constants. The numerical results show that the method can be used as a digital reactivity meter.
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spelling doaj.art-f593814707114d14b809fe5f6bdc780f2023-07-28T08:59:02ZengUniversitas IndonesiaInternational Journal of Technology2086-96142087-21002023-07-011451113112210.14716/ijtech.v14i5.59705970Nuclear Reactivity Calculation with Reduction of FluctuationsDaniel Suescun-Diaz0Geraldyne Ule-Duque1Jesus Antonio Chala-Casanova2Department of Exact and Natural Sciences, Surcolombiana University, Neiva, 410001, ColombiaDepartment of Exact and Natural Sciences, Surcolombiana University, Neiva, 410001, ColombiaDepartment of Exact and Natural Sciences, Surcolombiana University, Neiva, 410001, ColombiaThis article presents a study based on a series of numerical experiments. It demonstrates the possibility of reducing fluctuations in the calculation of reactivity using the second Bernoulli number based on the approximation of the Euler-Maclaurin formula. This approach requires knowledge of the first three derivatives, which are implemented progressively. The fluctuations are assumed to occur around an average value of the neutron density with a Gaussian distribution. Jitter reduction is performed with a first-order delayed low-pass filter for different forms of neutron population density, with different time steps and with different filter constants. The numerical results show that the method can be used as a digital reactivity meter.https://ijtech.eng.ui.ac.id/article/view/5970inverse point kinetics equationneutron population densitynumerical experimentreactivitysecond bernoulli number
spellingShingle Daniel Suescun-Diaz
Geraldyne Ule-Duque
Jesus Antonio Chala-Casanova
Nuclear Reactivity Calculation with Reduction of Fluctuations
International Journal of Technology
inverse point kinetics equation
neutron population density
numerical experiment
reactivity
second bernoulli number
title Nuclear Reactivity Calculation with Reduction of Fluctuations
title_full Nuclear Reactivity Calculation with Reduction of Fluctuations
title_fullStr Nuclear Reactivity Calculation with Reduction of Fluctuations
title_full_unstemmed Nuclear Reactivity Calculation with Reduction of Fluctuations
title_short Nuclear Reactivity Calculation with Reduction of Fluctuations
title_sort nuclear reactivity calculation with reduction of fluctuations
topic inverse point kinetics equation
neutron population density
numerical experiment
reactivity
second bernoulli number
url https://ijtech.eng.ui.ac.id/article/view/5970
work_keys_str_mv AT danielsuescundiaz nuclearreactivitycalculationwithreductionoffluctuations
AT geraldyneuleduque nuclearreactivitycalculationwithreductionoffluctuations
AT jesusantoniochalacasanova nuclearreactivitycalculationwithreductionoffluctuations