A structured control model for the thermo-magneto-hydrodynamics of plasmas in tokamaks

作     者：Ngoc Minh Trang Vu Lefevre, Laurent Maschke, Bernhard 

作者机构：CEA IRFM St Paul Les Durance France Univ Grenoble Alpes LCIS Valence France Univ Lyon 1 Lab Automat & Genie Proc F-69365 Lyon France 

出 版 物：《MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS》 (动态系统的数学与计算机模拟)

年 卷 期：2016年第22卷第3期

页      面：181-206页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：plasma dynamics Port-Hamiltonian systems thermo-magneto-hydrodynamics kinetic theory distributed parameters systems 

摘      要：A thermo-magneto-hydrodynamics port-Hamiltonian model is derived for the plasmas in tokamaks. Electromagnetic field and material domain balance equations are expressed in covariant forms, together with the magneto-hydrodynamics interconnection structure connecting them together. The balance equations for the entropy, mass and momentum, as well as closure equations in the material domain, are derived from the Boltzmann equation (kinetic theory). The Gibbs-Duhem equation is used to compute the irreversible entropy source term and to define the interdomain R-field of the model. All derived interdomain couplings in the material domain are represented using Dirac and Stokes-Dirac structures and the resistivity R-field structure. The complete model is summarized in a Bond Graph.