On the stability of fractional neutron point kinetics (FNPK)

被引：14
|
作者：
Espinosa-Paredes, Gilberto [1 ,3 ]
Cazares-Ramirez, Ricardo-I. [1 ]
Francois, Juan-Luis [2 ]
Martin-del-Campo, Cecilia [2 ]
机构：
[1] Univ Autonoma Metropolitana Iztapalapa, Area Ingn Recursos Energet, Ave San Rafael Atlixco 186, Mexico City 09340, DF, Mexico
[2] Univ Nacl Autonoma Mexico, Fac Ingn, Dept Sistemas Energet, Paseo Cuauhnahuac 8532, Jiutepec 62550, Morelos, Mexico
[3] Univ Nacl Autonoma Mexico, Fac Ingn, CONACyT, Programa Estancias Sabat, Jiutepec, Morelos, Mexico
来源：
APPLIED MATHEMATICAL MODELLING | 2017年 / 45卷
关键词：
Nuclear reactor; Fraction neutron point kinetics; Fractional stability; Anomalous diffusion; Transformation W-plane zero power transformer function; NUCLEAR-REACTOR DYNAMICS; NUMERICAL-SOLUTION; DIFFERENTIAL-EQUATIONS; REACTIVITY; FEEDBACK; DENSITY; MODEL;
D O I：
10.1016/j.apm.2016.12.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The aim of this work is investigate the stability of fractional neutron point kinetics (FNPK). The method applied in this work considers the stability of FNPK as a linear fractional differential equation by transforming the s-plane to the W-plane. The FNPK equations is an approximation of the dynamics of the reactor that includes three new terms related to fractional derivatives, which are explored in this work with an aim to understand their effect in the system stability. Theoretical study of reactor dynamical systems plays a significant role in understanding the behavior of neutron density, which is important in the analysis of reactor safety. The fractional relaxation time (tau(alpha)) for values of fractional-order derivative (alpha) were analyzed, and the minimum absolute phase was obtained in order to establish the stability of the system. The results show that nuclear reactor stability with FNPK is a function of the fractional relaxation time. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：505 / 515
页数：11
相关论文
共 50 条
  • [1] Analysis of the fractional neutron point kinetics (FNPK) equation
    Espinosa-Paredes, Gilberto
    Polo-Labarrios, Marco-A.
    ANNALS OF NUCLEAR ENERGY, 2016, 92 : 363 - 368
  • [2] On the approximate solutions of the fractional neutron point kinetics equations
    Sadeghi, H.
    Darania, P.
    ANNALS OF NUCLEAR ENERGY, 2020, 148
  • [3] Fractional neutron point kinetics equations for nuclear reactor dynamics
    Espinosa-Paredes, Gilberto
    Polo-Labarrios, Marco-A.
    Espinosa-Martinez, Erick-G.
    del Valle-Gallegos, Edmundo
    ANNALS OF NUCLEAR ENERGY, 2011, 38 (2-3) : 307 - 330
  • [4] Sensitivity and uncertainty analysis of the fractional neutron point kinetics equations
    Espinosa-Paredes, G.
    Polo-Labarrios, M. -A.
    Diaz-Gonzalez, L.
    Vazquez-Rodriguez, A.
    Espinosa-Martinez, E. -G.
    ANNALS OF NUCLEAR ENERGY, 2012, 42 : 169 - 174
  • [5] Closed-loop controller design, stability analysis and hardware implementation for fractional neutron point kinetics model
    Vyawahare, Vishwesh A.
    Datkhile, G.
    Kadam, P.
    Espinosa-Paredes, G.
    NUCLEAR ENGINEERING AND TECHNOLOGY, 2021, 53 (02) : 688 - 694
  • [6] Fractional neutron point kinetics equation with Newtonian temperature feedback effects
    Espinosa-Paredes, G.
    del Valle Gallegos, E.
    Nunez-Carrera, A.
    Polo-Labarrios, M. -A.
    Espinosa-Martinez, E. -G.
    Vazquez-Rodriguez, A.
    PROGRESS IN NUCLEAR ENERGY, 2014, 73 : 96 - 101
  • [7] Numerical solution of fractional neutron point kinetics model in nuclear reactor
    Nowak, Tomasz Karol
    Duzinkiewicz, Kazimierz
    Piotrowski, Robert
    ARCHIVES OF CONTROL SCIENCES, 2014, 24 (02): : 129 - 154
  • [8] Time-space fractional neutron point kinetics: Theory and simulations
    Espinosa-Martinez, E-G
    Francois, Juan-Luis
    Martin-del-Campo, Cecilia
    Moghaddam, Nader Maleki
    ANNALS OF NUCLEAR ENERGY, 2020, 143
  • [9] NEUTRON POINT KINETICS MODEL WITH A DISTRIBUTED-ORDER FRACTIONAL DERIVATIVE
    Godinez, F. A.
    Fernandez-Anaya, G.
    Quezada-Garcia, S.
    Quezada-Tellez, L. A.
    Polo-Labarrios, M. A.
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024,
  • [10] On the stability of linear fractional-space neutron point kinetics (F-SNPK) models for nuclear reactor dynamics
    Vyawahare, Vishwesh A.
    Espinosa-Paredes, Gilberto
    ANNALS OF NUCLEAR ENERGY, 2018, 111 : 12 - 21
12345