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Abstract
This paper presents results concerning solutions of the fractional neutron point kinetics model for a nuclear reactor. Proposed model consists of a bilinear system of fractional and ordinary differential equations. Three methods to solve the model are presented and compared. The first one entails application of discrete Grünwald-Letnikov definition of the fractional derivative in the model. Second involves building an analog scheme in the FOMCON Toolbox in MATLAB environment. Third is the method proposed by Edwards. The impact of selected parameters on the model’s response was examined. The effects of substituting selected quantities into a typical input were discussed and compared.
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- Category:
- Articles
- Type:
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Published in:
-
Archives of Control Sciences
no. 24,
pages 129 - 154,
ISSN: 1230-2384 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Nowak T., Duzinkiewicz K., Piotrowski R.: Numerical solution of fractional neutron point kinetics in nuclear reactor// Archives of Control Sciences. -Vol. 24., iss. 2 (2014), s.129-154
- DOI:
- Digital Object Identifier (open in new tab) 10.2478/acsc-2014-0009
- Verified by:
- Gdańsk University of Technology
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