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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Universitas Indonesia
2023-07-01
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Series: | International Journal of Technology |
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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. |
first_indexed | 2024-03-12T21:26:12Z |
format | Article |
id | doaj.art-f593814707114d14b809fe5f6bdc780f |
institution | Directory Open Access Journal |
issn | 2086-9614 2087-2100 |
language | English |
last_indexed | 2024-03-12T21:26:12Z |
publishDate | 2023-07-01 |
publisher | Universitas Indonesia |
record_format | Article |
series | International Journal of Technology |
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 |