Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models : A Systematic Approach

This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book t...

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Main Authors: Vyawahare, Vishwesh, Nataraj, Paluri S. V. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Singapore Springer Singapore 2018, 2018
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Vyawahare, Vishwesh 
245 0 0 |a Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models  |h Elektronische Ressource  |b A Systematic Approach  |c by Vishwesh Vyawahare, Paluri S. V. Nataraj 
260 |a Singapore  |b Springer Singapore  |c 2018, 2018 
300 |a XIX, 200 p. 64 illus  |b online resource 
505 0 |a Chapter 1. Fractional Calculus -- Chapter 2. Introduction to Nuclear Reactor Modeling -- Chapter 3. Development and Analysis of Fractional-order Neutron Telegraph Equation -- Chapter 4. Development and Analysis of Fractional-order Point Reactor Kinetics Model -- Chapter 5. Further Developments using Fractional-order Point Reactor Kinetics Model -- Chapter 6. Development and Analysis of Fractional-order Point Reactor Kinetics Models with Reactivity Feedback -- Chapter 7. Development and Analysis of Fractional-order Two-Group Models 
653 |a Mathematical Modeling and Industrial Mathematics 
653 |a Engineering 
653 |a Control and Systems Theory 
653 |a Computational Intelligence 
653 |a Nuclear Energy 
700 1 |a Nataraj, Paluri S. V.  |e [author] 
710 2 |a SpringerLink (Online service) 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
856 |u https://doi.org/10.1007/978-981-10-7587-2?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 006.3 
520 |a This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems. Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchers working in the areas of fractional-order modeling and control and nuclear reactor modeling