Fractional-order modeling of nuclear reactor: from subdiffusive neutron transport to control-oriented models : a systematic approach 1st ed.

Author

• Vyawahare, Vishwesh

Additional Author(s)

• Nataraj, Paluri S. V.

Publisher

Singapore: Springer Nature Singapore Pte Ltd., 2018

Language

English

ISBN

9789811075872

Series

Subject(s)

• COMPUTATIONAL INTELLIGENCE
• MATHEMATICAL MODELS

Notes

. .

Abstract

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.

Physical Dimension

Number of Page(s)

1 online resource (xix, 200 p.)

Dimension

-

Other Desc.

ill.

Summary / Review / Table of Content

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.

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	01330/20	006.3 Vya F	Online !	Available