Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models
A Systematic Approach
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Beschreibung
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.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
Autor*in
Vishwesh Vyawahare
Themen in »Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models«
Mathematical Modeling Nuclear Reactor Dynamics. Fractional Calculus Fractional-order Modeling Control-oriented Models