Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models: A Systematic Approach
暫譯: 核反應堆的分數階建模:從亞擴散中子傳輸到控制導向模型的系統化方法

Vishwesh Vyawahare, Paluri S. V. Nataraj

  • 出版商: Springer
  • 出版日期: 2018-02-12
  • 售價: $4,470
  • 貴賓價: 9.5$4,247
  • 語言: 英文
  • 頁數: 200
  • 裝訂: Hardcover
  • ISBN: 9811075867
  • ISBN-13: 9789811075865
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

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.

商品描述(中文翻譯)

本書探討核反應堆的分數階建模主題。將反應堆核心中的中子傳輸視為異常擴散,特別是亞擴散,首先發展分數階中子電報方程式。接著,書中採用系統化的方法,檢視各種代表核反應堆動力學的分數階模型的發展與分析,最終導向分數階線性及非線性控制導向模型。本書利用分數微積分這一數學工具,即具有任意非整數階(實數或複數)的導數和積分的微積分,最近發現它能更緊湊且真實地表現各種物理系統的動力學。

本書包含廣泛的模擬結果,並討論與核反應堆的分數階建模相關的重要議題,為從事分數階建模與控制及核反應堆建模的學生和研究人員提供了寶貴的資源。