Fractional-order Modeling of Nuclear Reactor From Subdiffusive Neutron Transport to Control-oriented Models - Vishwesh Vyawahare Paluri S V Nataraj Gebunden

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.