Development and Analysis of the Fractional-order Point Reactor Kinetics Model for a Nuclear Reactor with Slab Geometry
This paper presents the development of Fractional-order (FO) Point Reactor Kinetics (FPRK) model for a nuclear reactor with slab geometry. The PRK model is the first step towards the development of the ‘control’ model for a reactor. It is a set of nonlinear, coupled dynamical ordinary differential equations characterizing the time evolution of the neutron flux. FO transport models are found to provide a more satisfactory and compact representation of the movement of neutrons inside the core of a nuclear reactor. The FO neutron telegraph equation developed earlier by the authors exhibits subdiffusive behaviour for long-times. This fact has been used in this paper to derive the FPRK model by applying the separation of variables technique to the FO neutron subdiffusion equation. The resulting FPRK model is very simple in structure. It is very easy to solve analytically as compared to other FPRK model available in the literature. The developed FPRK model with one effective neutron delayed group is solved for the practical data and the results are analyzed.
Fractional-order modeling nuclear reactor slab geometry neutron transport subdiffusion fractional diffusion equation dynamic model point reactor kinetics model.
Vishwesh A. Vyawahare P. S. V. Nataraj
IDP in Systems and Control Engineering, Indian Institute ofTechnology Bombay, Powai, Mumbai, INDIA 4 IDP in Systems and Control Engineering, Indian Institute of Technology Bombay, Powai, Mumbai, INDIA
国际会议
The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)
南京
英文
1-11
2012-05-14（万方平台首次上网日期，不代表论文的发表时间）