FRACTIONAL MODEL OF FAST PROCESSES IN NUCLEAR REACTOR ANALYSIS

Tomasz Karol Nowak

tomasz.karol.nowak@gmail.com
Poznan University of Technology (Poland)

Kazimierz Duzinkiewicz


Poznan University of Technology (Poland)

Abstract

The paper presents the results concerning numerical solutions of the fractional point kinetics and heat exchange model for nuclear reactor. The fractional neutron point kinetics model with six groups of delayed neutron precursors was developed and numerical solutions were proposed. Mathematical model has been implemented in the Matlab environment and tested using typical step input change. The analysis of the impact of chosen parameters was conducted.


Keywords:

fractional calculus, fission reactors, differential equations

Anglart H.: Nuclear Reactor Dynamics and stability. Instytut Techniki Cieplnej Politechniki Warszawskiej, 2013.
  Google Scholar

Ackermann G.: Eksploatacja elektrowni jądrowych. WNT, Warszawa 1987.
  Google Scholar

Baum G., Duzinkiewicz K.: Model symulacyjny jednowymiarowej dynamiki reaktora typu WWER-440 (kinetyka, zagadnienia cieplno-przepływowe). Raport. Instytut Elektroenergetyki i Automatyki, Politechnika Gdańska, 1989.
  Google Scholar

Caponetto R., Dongola G., Fortuna L., Petras I.: Fractional order systems. Modelling and Control Applications. World Scientific Series of Nonlinear Science, Series A, Vol. 72, 2010.
  Google Scholar

Chen Y.Q.: Fractional Calculus, Delay Dynamics and Networked Control Systems. Resilient Control Systems (ISRCS), 2010.
  Google Scholar

Duderstadt J.J., Hamilton L.J.: Nuclear Reactor Analysis. John Wiley & Sons, Inc., New York, 1942.
  Google Scholar

Duzinkiewicz K., Baum G., Michalak A.: Model symulacyjny podstawowych procesów dynamicznych reaktora typu WWER oparty o modele o parametrach skupionych. Raporty. Instytut Elektroenergetyki i Automatyki, Politechnika Gdańska, 1989.
  Google Scholar

Espinosa-Paredes G., Polo-Labbarios M., Espinosa-Martinez E., del Valle-Gallegos E.: Fractional neutron point kinetics equations for nuclear reactor dynamics. Annals of Nuclear Energy 38, 2011, s. 307-330.
  Google Scholar

Maiti D., Janarthanan R., Konar A.: Complete Identification of a Dynamic Fractional Order System Under Non-ideal Conditions Using Fractional Differintegral Definitions. Department of Eletronics and Telecommunication Engineering, 2008.
  Google Scholar

Petras I.: Fractional-Order Nonlinear Systems. Modelling, Analysis and Simulation. Springer, New York, 2011.
  Google Scholar

Podlubny I.: Fractional Differential Equations. Academic Press, San Diego, 1999.
  Google Scholar

Schultz M. A.: Control of Nuclear reaktors and Power Plants. McGew-Hill book Company, Inc. New York, 1961.
  Google Scholar


Published
2014-03-12

Cited by

Nowak, T. K., & Duzinkiewicz, K. (2014). FRACTIONAL MODEL OF FAST PROCESSES IN NUCLEAR REACTOR ANALYSIS. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 4(1), 44–47. https://doi.org/10.5604/20830157.1093201

Authors

Tomasz Karol Nowak 
tomasz.karol.nowak@gmail.com
Poznan University of Technology Poland

Authors

Kazimierz Duzinkiewicz 

Poznan University of Technology Poland

Statistics

Abstract views: 181
PDF downloads: 49