Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method
The neutron density is one of the most important dynamical parameters in a reactor. It is directly related to the control and stability of the reactor power. Any change in applied reactivity and some of dynamical parameters in the reactor causes a change in the neutron density. Lyapunov exponent met...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Tehran
2016-04-01
|
| Series: | Journal of Sciences, Islamic Republic of Iran |
| Subjects: | |
| Online Access: | https://jsciences.ut.ac.ir/article_57005_d86b6ac033d30e208a5d3aea4a087a8d.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850269670931693568 |
|---|---|
| author | M. Seidi R. Khodabakhsh S. Behnia |
| author_facet | M. Seidi R. Khodabakhsh S. Behnia |
| author_sort | M. Seidi |
| collection | DOAJ |
| description | The neutron density is one of the most important dynamical parameters in a reactor. It is directly related to the control and stability of the reactor power. Any change in applied reactivity and some of dynamical parameters in the reactor causes a change in the neutron density. Lyapunov exponent method is a powerful tool for investigating the range of stability and the transient behavior of the reactor power. In contrast to the other linear stability methods, this method can be used for large perturbations and is not needed to construct Lyapunov function. In this work, the range of stability using Lyapunov exponent method is evaluated for neutron point kinetics equations with six-groups delayed neutrons. Here, effects of four set of applications, namely, step, ramp, sinusoidal, and temperature feedback reactivities on power reactor were investigated with Lyapunov exponent method. The results of qualitative analysis were compared with traditional methods and were in good agreement with other works. |
| format | Article |
| id | doaj-art-a65b51e11d174a6b886ac1bef31fe41d |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2016-04-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-a65b51e11d174a6b886ac1bef31fe41d2025-08-20T01:53:00ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142016-04-0127217518657005Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent MethodM. Seidi0R. Khodabakhsh1S. Behnia21 Department of Physics, Faculty of Sciences, Ilam University, P.O.Box: 516-69315, Ilam, Islamic Republic of Iran2 Department of Physics, Faculty of Sciences, Urmia University, P.O.Box:165-57153, Urmia, Islamic Republic of Iran3 Department of Physics, Urmia University of Technology, P.O.Box:419-57157, Urmia, Islamic Republic of IranThe neutron density is one of the most important dynamical parameters in a reactor. It is directly related to the control and stability of the reactor power. Any change in applied reactivity and some of dynamical parameters in the reactor causes a change in the neutron density. Lyapunov exponent method is a powerful tool for investigating the range of stability and the transient behavior of the reactor power. In contrast to the other linear stability methods, this method can be used for large perturbations and is not needed to construct Lyapunov function. In this work, the range of stability using Lyapunov exponent method is evaluated for neutron point kinetics equations with six-groups delayed neutrons. Here, effects of four set of applications, namely, step, ramp, sinusoidal, and temperature feedback reactivities on power reactor were investigated with Lyapunov exponent method. The results of qualitative analysis were compared with traditional methods and were in good agreement with other works.https://jsciences.ut.ac.ir/article_57005_d86b6ac033d30e208a5d3aea4a087a8d.pdftemperature feedbackneutron densitydelayed neutronlyapunov exponent |
| spellingShingle | M. Seidi R. Khodabakhsh S. Behnia Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method Journal of Sciences, Islamic Republic of Iran temperature feedback neutron density delayed neutron lyapunov exponent |
| title | Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method |
| title_full | Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method |
| title_fullStr | Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method |
| title_full_unstemmed | Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method |
| title_short | Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method |
| title_sort | studying transition behavior of neutron point kinetics equations using the lyapunov exponent method |
| topic | temperature feedback neutron density delayed neutron lyapunov exponent |
| url | https://jsciences.ut.ac.ir/article_57005_d86b6ac033d30e208a5d3aea4a087a8d.pdf |
| work_keys_str_mv | AT mseidi studyingtransitionbehaviorofneutronpointkineticsequationsusingthelyapunovexponentmethod AT rkhodabakhsh studyingtransitionbehaviorofneutronpointkineticsequationsusingthelyapunovexponentmethod AT sbehnia studyingtransitionbehaviorofneutronpointkineticsequationsusingthelyapunovexponentmethod |