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

A Systematic Approach

Authors: Vyawahare, Vishwesh, Nataraj, Paluri S. V.

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  • Discusses the latest research on fractional-order modeling and control, one of the most active current research areas in mathematical modeling and control
  • Uses the modern mathematical tool of fractional calculus to model nuclear reactor dynamics
  • Presents a systematic development of fractional-order models of nuclear reactors, from basic partial differential equations to control-oriented linear and nonlinear models
  • Provides analytical and numerical solutions to all the fractional-order models developed
  • A valuable guide for all researchers working in the area of fractional calculus applications and nuclear reactor engineering
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eBook 96,29 €
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  • ISBN 978-981-10-7587-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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Hardcover 119,59 €
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  • ISBN 978-981-10-7586-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 119,59 €
price for Spain (gross)
  • ISBN 978-981-13-5655-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

About the authors

Vishwesh A. Vyawahare is a faculty in the Department of Electronics Engineering at Ramrao Adik Institute of Technology, Nerul, Navi Mumbai, India. He received his Master of Engineering degree in Control Systems from the Government College of Engineering, Pune, India in 2004, followed by a PhD in Systems and Control Engineering from the Indian Institute of Technology Bombay, Mumbai, India, in 2012. His doctoral work focused on the fractional-order modeling of nuclear reactors. His current research areas include modeling and control using fractional-order, complex-order and variable-order calculus.

Paluri S. V. Nataraj is a faculty in the Systems and Control Engineering Group at the Indian Institute of Technology Bombay (IIT Bombay), Mumbai, India. He received his PhD in Process Dynamics and Control from the Indian Institute of Technology Madras, Chennai, India in 1987. He subsequently worked at the CAD Centre at IIT Bombay for one and a half years before joining the Systems and Control Engineering Group at IIT Bombay in 1988, where he has been involved in teaching and research for the past 28 years. His current research interests are in the areas of fractional-order modeling and control, global optimization, parallel computing, reliable computing, and robust control.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 96,29 €
price for Spain (gross)
  • ISBN 978-981-10-7587-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 119,59 €
price for Spain (gross)
  • ISBN 978-981-10-7586-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 119,59 €
price for Spain (gross)
  • ISBN 978-981-13-5655-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models
Book Subtitle
A Systematic Approach
Authors
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-10-7587-2
DOI
10.1007/978-981-10-7587-2
Hardcover ISBN
978-981-10-7586-5
Softcover ISBN
978-981-13-5655-1
Edition Number
1
Number of Pages
XIX, 200
Number of Illustrations
64 b/w illustrations
Topics