On the feedback stability of linear FNPK equations

被引：18
作者：
Cazares-Ramirez, R. -I. [1 ,2 ]
Vyawahare, Vishwesh. A. [3 ]
Espinosa-Paredes, G. [1 ,5 ]
Nataraj, P. S. V. [4 ]
机构：
[1] Univ Autonoma Metropolitana Iztapalapa, Div Ciencias Basica & Ingn, Av San Rafael Atlixco 186, Mexico City 09340, DF, Mexico
[2] Univ Autonoma Metropolitana Iztapalapa, Div Ciencias & Biol Salud, Av San Rafael Atlixco 186, Mexico City 09340, DF, Mexico
[3] Ramrao Adik Inst Technol, Dept Elect Engn, Nerul 400706, Navi Mumbai, India
[4] Indian Inst Technol, IDP Syst & Control Engn, Bombay 400076, Maharashtra, India
[5] Univ Nacl Autonoma Mexico, Fac Ingn, Programa Estancias Sabat CONACyT, Mexico City, DF, Mexico
来源：
PROGRESS IN NUCLEAR ENERGY | 2017年 / 98卷
关键词：
Reactor dynamics; Anomalous diffusion; Fractional neutron point kinetics (FNPK); Closed-loop stability; POINT KINETICS EQUATIONS; NUMERICAL-SOLUTION; NUCLEAR-REACTOR; ROOT-LOCUS; MODEL; DIFFUSION; DYNAMICS;
D O I：
10.1016/j.pnucene.2017.02.007
中图分类号：
TL [原子能技术]; O571 [原子核物理学];
学科分类号：
0827 ; 082701 ;
摘要：
The aim of this work is to investigate the stability of linear fractional neutron point kinetics (FNPK) equations with closed-loop feedback. The FNPK model retains the main dynamic characteristics of the neutron movement in which the relaxation time is associated with a variation in the neutron density. The order of FNPK model is fractional (anomalous diffusion coefficient) which can be used to obtain the best representation of the reactor dynamics compared to the classical neutron point kinetics (CNPK), as demonstrated in this work with plant data. The stability of linear FNPK is investigated using three classical techniques: root locus, location of closed-loop poles in the Riemann sheet and evaluation of step response. The analysis is carried out for three values of anomalous diffusion coefficient representing three levels of subdiffusion in reactor core. It has been shown through extensive simulations that all the FNPK models are closed-loop stable. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：45 / 58
页数：14
相关论文
共 44 条
[41]   Root locus of fractional linear systems [J].
Tenreiro Machado, J. A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (10) :3855-3862
[42]   Analysis of Fractional-order Point Reactor Kinetics Model with Adiabatic Temperature Feedback for Nuclear Reactor with Subdiffusive Neutron Transport [J].
Vyawahare, Vishwesh A. ;
Nataraj, P. S. V. .
SIMULATION AND MODELING METHODOLOGIES, TECHNOLOGIES AND APPLICATIONS, SIMULTECH 2014, 2015, 402 :153-172
[43]   Fractional-order modeling of neutron transport in a nuclear reactor [J].
Vyawahare, Vishwesh A. ;
Nataraj, P. S. V. .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (23) :9747-9767
[44]   Development and analysis of some versions of the fractional-order point reactor kinetics model for a nuclear reactor with slab geometry [J].
Vyawahare, Vishwesh A. ;
Nataraj, P. S. V. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (07) :1840-1856
12345