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

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actional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Controloriented Models A Systematic Approach

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

Vishwesh Vyawahare Paluri S. V. Nataraj •

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

123

Vishwesh Vyawahare Ramrao Adik Institute of Technology Navi Mumbai India

Paluri S. V. Nataraj Indian Institute of Technology Bombay Mumbai India

ISBN 978-981-10-7586-5 ISBN 978-981-10-7587-2 https://doi.org/10.1007/978-981-10-7587-2

(eBook)

Library of Congress Control Number: 2017961480 © Springer Nature Singapore Pte Ltd. 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore

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Preface

Nuclear power has now established itself as one of the promising sources of power in the twenty-first century. This is evident from the world energy scenario as nuclear power is gradually taking the center stage in providing a reliable, safe, and cheap power all over the world. Nuclear reactor is the main part of a nuclear power plant. Heat energy is generated in the core of nuclear reactor by neutron chain reaction. It involves atomic fission of heavy radioactive elements with the liberation of heat energy. This energy is used to generate steam to run the turbines and consequently generate electricity using alternators. Thus, the neutron chain reaction is the most crucial process in a nuclear reactor. This chain reaction may become unstable if not controlled properly. The safe and efficient operation of a nucle