Analytical Solution of Neutron Point Kinetic Equations Taking into Account Oscillating External Neutron Source
Neutron external source plays an important role during the start-up of a nuclear reactor. Therefore, the analytical solutions of neutron point kinetics equations in the presence of external source are important in predicting the variation of the neutron population during the start-up of a nuclear re...
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| Format: | Article |
| Language: | fas |
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Nuclear Science and Technology Research Institute
2014-11-01
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| Series: | مجله علوم و فنون هسته‌ای |
| Subjects: | |
| Online Access: | https://jonsat.nstri.ir/article_41_ff8426d060150471b785ef12708b46ec.pdf |
| _version_ | 1827955534180909056 |
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| author | Rasoul Khodabakhsh Sohrab Behina Masoud Seyedi |
| author_facet | Rasoul Khodabakhsh Sohrab Behina Masoud Seyedi |
| author_sort | Rasoul Khodabakhsh |
| collection | DOAJ |
| description | Neutron external source plays an important role during the start-up of a nuclear reactor. Therefore, the analytical solutions of neutron point kinetics equations in the presence of external source are important in predicting the variation of the neutron population during the start-up of a nuclear reactor. For a constant external source, an analytical solution is worked out, as shown in the previously published articles. Due to fluctuations of the neutron source around a mean value, the source is actually time dependent. Thus, in this research, an alternative analytical solution with one group of delayed neutrons is proposed with the ramp reactivity insertion for the external source with sinusoidal fluctuation during the start-up of the nuclear reactor. The only approximation made in this study is to ignore the second time derivative of the neutron population. The present study is fully in agreement with other studies regarding the limit of very small amplitude fluctuations. |
| first_indexed | 2024-04-09T14:48:01Z |
| format | Article |
| id | doaj.art-a206285c325e42678fe8b3ec3741a050 |
| institution | Directory Open Access Journal |
| issn | 1735-1871 2676-5861 |
| language | fas |
| last_indexed | 2024-04-09T14:48:01Z |
| publishDate | 2014-11-01 |
| publisher | Nuclear Science and Technology Research Institute |
| record_format | Article |
| series | مجله علوم و فنون هسته‌ای |
| spelling | doaj.art-a206285c325e42678fe8b3ec3741a0502023-05-02T10:30:49ZfasNuclear Science and Technology Research Instituteمجله علوم و فنون هسته‌ای1735-18712676-58612014-11-01353313941Analytical Solution of Neutron Point Kinetic Equations Taking into Account Oscillating External Neutron SourceRasoul Khodabakhsh0Sohrab Behina1Masoud Seyedi2گروه فیزیک، دانشکده علوم، دانشگاه ارومیه، صندوق پستی: 57153-165، ارومیه ـ ایرانگروه فیزیک، دانشگاه صنعتی ارومیه، صندوق پستی: 16116-414، ارومیه ـ ایرانگروه فیزیک، دانشکده علوم، دانشگاه ارومیه، صندوق پستی: 57153-165، ارومیه ـ ایرانNeutron external source plays an important role during the start-up of a nuclear reactor. Therefore, the analytical solutions of neutron point kinetics equations in the presence of external source are important in predicting the variation of the neutron population during the start-up of a nuclear reactor. For a constant external source, an analytical solution is worked out, as shown in the previously published articles. Due to fluctuations of the neutron source around a mean value, the source is actually time dependent. Thus, in this research, an alternative analytical solution with one group of delayed neutrons is proposed with the ramp reactivity insertion for the external source with sinusoidal fluctuation during the start-up of the nuclear reactor. The only approximation made in this study is to ignore the second time derivative of the neutron population. The present study is fully in agreement with other studies regarding the limit of very small amplitude fluctuations.https://jonsat.nstri.ir/article_41_ff8426d060150471b785ef12708b46ec.pdframp reactivity insertionsexternal neutron sourceneutron point kineticsdelayed neutrons |
| spellingShingle | Rasoul Khodabakhsh Sohrab Behina Masoud Seyedi Analytical Solution of Neutron Point Kinetic Equations Taking into Account Oscillating External Neutron Source مجله علوم و فنون هسته‌ای ramp reactivity insertions external neutron source neutron point kinetics delayed neutrons |
| title | Analytical Solution of Neutron Point Kinetic Equations Taking into Account Oscillating External Neutron Source |
| title_full | Analytical Solution of Neutron Point Kinetic Equations Taking into Account Oscillating External Neutron Source |
| title_fullStr | Analytical Solution of Neutron Point Kinetic Equations Taking into Account Oscillating External Neutron Source |
| title_full_unstemmed | Analytical Solution of Neutron Point Kinetic Equations Taking into Account Oscillating External Neutron Source |
| title_short | Analytical Solution of Neutron Point Kinetic Equations Taking into Account Oscillating External Neutron Source |
| title_sort | analytical solution of neutron point kinetic equations taking into account oscillating external neutron source |
| topic | ramp reactivity insertions external neutron source neutron point kinetics delayed neutrons |
| url | https://jonsat.nstri.ir/article_41_ff8426d060150471b785ef12708b46ec.pdf |
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