Numerical Solution of Fractional Neutron Point Kinetics Model in Nuclear Reactor

• Autorzy: Nowak T. K. , Duzinkiewicz K. , Piotrowski R.

Identyfikatory

DOI

10.2478/acsc-2014-0009

• Języki publikacji: EN

Abstrakty

EN

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 results for typical input were discussed and compared.

Słowa kluczowe

EN

fractional differential equation; fractional derivatives and integrals; system of equations; nuclear reactor; neutron point kinetics

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2014
• Tom: Vol. 24, no. 2
• Strony: 129--154
• Opis fizyczny: Bibliogr. 16 poz., rys., tab., wzory

Twórcy

autor

Nowak T. K.

• Faculty of Electrical and Control Engineering, Gdansk University of Technology, G. Narutowicza 11/12, 80-233 Gdansk, Poland

autor

Duzinkiewicz K.

• Faculty of Electrical and Control Engineering, Gdansk University of Technology, G. Narutowicza 11/12, 80-233 Gdansk, Poland

autor

Piotrowski R.

• Faculty of Electrical and Control Engineering, Gdansk University of Technology, G. Narutowicza 11/12, 80-233 Gdansk, Poland

Bibliografia

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