Vyawahare, Vishwesh.
Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models A Systematic Approach / [electronic resource] : by Vishwesh Vyawahare, Paluri S. V. Nataraj. - 1st ed. 2018. - XIX, 200 p. 64 illus. online resource.
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.
9789811075872
10.1007/978-981-10-7587-2 doi
Computational intelligence.
Nuclear engineering.
Control engineering.
Mathematical models.
Computational Intelligence.
Nuclear Energy.
Control and Systems Theory.
Mathematical Modeling and Industrial Mathematics.
Q342
006.3
Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models A Systematic Approach / [electronic resource] : by Vishwesh Vyawahare, Paluri S. V. Nataraj. - 1st ed. 2018. - XIX, 200 p. 64 illus. online resource.
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.
9789811075872
10.1007/978-981-10-7587-2 doi
Computational intelligence.
Nuclear engineering.
Control engineering.
Mathematical models.
Computational Intelligence.
Nuclear Energy.
Control and Systems Theory.
Mathematical Modeling and Industrial Mathematics.
Q342
006.3