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

Abstract : 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.
Type de document :
Article dans une revue
Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis, 2016, 22 (3), pp.181-206. 〈10.1080/13873954.2016.1154874〉
Liste complète des métadonnées

Littérature citée [52 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01624848
Contributeur : Laurent Lefèvre <>
Soumis le : jeudi 26 octobre 2017 - 19:13:49
Dernière modification le : jeudi 13 septembre 2018 - 09:11:34
Document(s) archivé(s) le : samedi 27 janvier 2018 - 14:11:06

Fichier

MCMDS3D_HAL.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Ngoc Minh Trang Vu, Laurent Lefevre, Bernhard Maschke. A structured control model for the thermo-magneto-hydrodynamics of plasmas in tokamaks. Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis, 2016, 22 (3), pp.181-206. 〈10.1080/13873954.2016.1154874〉. 〈hal-01624848〉

Partager

Métriques

Consultations de la notice

178

Téléchargements de fichiers

56