Development and Analysis of the Zero Power Fractional-order Transfer Function Model for a Nuclear Reactor with Slab Geometry
In this paper, development of the Fractional-order (FO) linear model of the neutron transport in a nuclear reactor is presented. In general, this linear model is commonly known in the reactor theory as the Zero Power Transfer Function (ZPTF). It helps in analyzing the reactor dynamics from the ‘control systems’ point of view. Basic concepts of the linear systems theory like poles, zeros, stability, frequency response, can be applied to the reactor. This paper, for the first time, reports the development and analysis of the Zero Power Fractional-order Transfer Function (ZPFTF) for a nuclear reactor with slab geometry. This linear model is obtained by carrying out the small signal analysis of the original nonlinear fractional-order point reactor kinetics model of a slab reactor previously developed by the authors. The standard procedure used in case of the Integer-order (IO) model has been extended for the fractional model. Both the cases, with one e ective delayed group and six delayed groups, are considered. The developed ZPFTF is found to be BIBO unstable which is in perfect coherence with the reactor dynamics. For the practical data, we carry out the analysis of the developed FO transfer functions like pole locations in the transformed Riemann surface and frequency response. This linear FO model can be considered as a more accurate ‘control-type’ model than the conventional IO model as it is based on the fact that neutron transport in a nuclear reactor is inherently subdi usive in nature.
Nuclear reactor slab geometry dynamic model linearization fractional-order transfer function stability.
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
1-9
2012-05-14（万方平台首次上网日期，不代表论文的发表时间）