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Fractional-order modeling of nuclear...

Nataraj, Paluri S. V.

Fractional-order modeling of nuclear reactorfrom subdiffusive neutron transport to control-oriented models : a systematic approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional-order modeling of nuclear reactorby Vishwesh Vyawahare, Paluri S. V. Nataraj.
Reminder of title:	from subdiffusive neutron transport to control-oriented models : a systematic approach /
Author:	Vyawahare, Vishwesh.
other author:	Nataraj, Paluri S. V.
Published:	Singapore :Springer Singapore :2018.
Description:	xix, 200 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Nuclear reactorsMathematical models.
Online resource:	http://dx.doi.org/10.1007/978-981-10-7587-2
ISBN:	9789811075872$q(electronic bk.)

Fractional-order modeling of nuclear reactorfrom subdiffusive neutron transport to control-oriented models : a systematic approach /
Vyawahare, Vishwesh.

Fractional-order modeling of nuclear reactorfrom subdiffusive neutron transport to control-oriented models : a systematic approach /[electronic resource] :by Vishwesh Vyawahare, Paluri S. V. Nataraj. - Singapore :Springer Singapore :2018. - xix, 200 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9789811075872$q(electronic bk.)

Standard No.: 10.1007/978-981-10-7587-2doiSubjects--Topical Terms:

806474
Nuclear reactors
--Mathematical models.

LC Class. No.: TK9202

Dewey Class. No.: 621.483015118

Fractional-order modeling of nuclear reactorfrom subdiffusive neutron transport to control-oriented models : a systematic approach /
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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.
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.
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