Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models [electronic resource] : A Systematic Approach /
Vyawahare, Vishwesh.author.
Nataraj, Paluri S. V.author.
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.
Includes bibliographical references and index.
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.
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.
Computational intelligence.
Nuclear energy.
Control engineering.
Mathematical models.
Computational Intelligence.
Nuclear Energy.
Control and Systems Theory.
Mathematical Modeling and Industrial Mathematics.