Generalized and Stability Rational Functions for Dynamic Systems of Reactor Kinetics
Author
Source
International Journal of Nuclear Energy
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The base of reactor kinetics dynamic systems is a set of coupled stiff ordinary differential equations known as the point reactor kinetics equations.
These equations which express the time dependence of the neutron density and the decay of the delayed neutron precursors within a reactor are first order nonlinear and essentially describe the change in neutron density within the reactor due to a change in reactivity.
Outstanding the particular structure of the point kinetic matrix, a semianalytical inversion is performed and generalized for each elementary step resulting eventually in substantial time saving.
Also, the factorization techniques based on using temporarily the complex plane with the analytical inversion is applied.
The theory is of general validity and involves no approximations.
In addition, the stability of rational function approximations is discussed and applied to the solution of the point kinetics equations of nuclear reactor with different types of reactivity.
From the results of various benchmark tests with different types of reactivity insertions, the developed generalized Padé approximation (GPA) method shows high accuracy, high efficiency, and stable character of the solution.
American Psychological Association (APA)
Aboanber, Ahmed E.. 2013. Generalized and Stability Rational Functions for Dynamic Systems of Reactor Kinetics. International Journal of Nuclear Energy،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-506774
Modern Language Association (MLA)
Aboanber, Ahmed E.. Generalized and Stability Rational Functions for Dynamic Systems of Reactor Kinetics. International Journal of Nuclear Energy No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-506774
American Medical Association (AMA)
Aboanber, Ahmed E.. Generalized and Stability Rational Functions for Dynamic Systems of Reactor Kinetics. International Journal of Nuclear Energy. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-506774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506774