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

Vyawahare, Vishwesh; Nataraj, Paluri S. V.

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 researchersworking in the areas of fractional-order modeling and control and nuclear reactor modeling.

Details

Published by: Springer

Publication Date: 2018-02-12

Format: Hardcover

ISBN-13: 9789811075865

DOI: 10.1007/978-981-10-7587-2

Dimensions: 235cm x155cm

Pages: 200