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

A Systematic Approach

  • Vishwesh Vyawahare
  • Paluri S. V. Nataraj

Table of contents

  1. Front Matter
    Pages i-xix
  2. Vishwesh Vyawahare, Paluri S. V. Nataraj
    Pages 1-10
  3. Vishwesh Vyawahare, Paluri S. V. Nataraj
    Pages 11-26
  4. Vishwesh Vyawahare, Paluri S. V. Nataraj
    Pages 27-71
  5. Vishwesh Vyawahare, Paluri S. V. Nataraj
    Pages 73-91
  6. Vishwesh Vyawahare, Paluri S. V. Nataraj
    Pages 93-123
  7. Back Matter
    Pages 183-200

About this book

Introduction

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.

Keywords

Mathematical Modeling Nuclear Reactor Dynamics. Fractional Calculus Fractional-order Modeling Control-oriented Models

Authors and affiliations

  • Vishwesh Vyawahare
    • 1
  • Paluri S. V. Nataraj
    • 2
  1. 1.Ramrao Adik Institute of TechnologyNavi MumbaiIndia
  2. 2.Indian Institute of Technology BombayMumbaiIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-7587-2
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-10-7586-5
  • Online ISBN 978-981-10-7587-2
  • Buy this book on publisher's site
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