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

Description

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. Front Matter ....Pages i-xix Fractional Calculus (Vishwesh Vyawahare, Paluri S. V. Nataraj)....Pages 1-10 Introduction to Nuclear Reactor Modeling (Vishwesh Vyawahare, Paluri S. V. Nataraj)....Pages 11-26 Development and Analysis of Fractional-order Neutron Telegraph Equation (Vishwesh Vyawahare, Paluri S. V. Nataraj)....Pages 27-71 Development and Analysis of Fractional-order Point Reactor Kinetics Model (Vishwesh Vyawahare, Paluri S. V. Nataraj)....Pages 73-91 Further Developments Using Fractional-order Point Reactor Kinetics Model (Vishwesh Vyawahare, Paluri S. V. Nataraj)....Pages 93-123 Development and Analysis of Fractional-order Point Reactor Kinetics Models with Reactivity Feedback (Vishwesh Vyawahare, Paluri S. V. Nataraj)....Pages 125-166 Development and Analysis of Fractional-order Two-Group Models and Fractional-order Nodal Model (Vishwesh Vyawahare, Paluri S. V. Nataraj)....Pages 167-181 Back Matter ....Pages 183-200