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

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

Autorentext

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 joiningthe 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.

Zusammenfassung

Inhalt
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.<p