Port-Hamiltonian formulation for systems of conservation laws: application to plasma dynamics in Tokamak reactors

Authors

Ngoc Minh Trang VU, Laurent LEFEVRE, Bernhard MASCHKE

Abstract

A port-Hamiltonian model is derived for the thermo-magneto-hydro dynamics of plasma in tokamaks. Magnetohydrodynamic and energy balance equations are expressed in their covariant form and written in the port-Hamiltonian formalism using Dirac structures. This Dirac structure is established as the interconnection of Stokes-Dirac structures with a specific interconnection structure representing the magneto-hydrodynamical coupling. Finally the problem of current density profile control is defined and potential approaches are discussed.

Citation

• Journal: IFAC Proceedings Volumes
• Year: 2012
• Volume: 45
• Issue: 19
• Pages: 108–113
• Publisher: Elsevier BV
• DOI: 10.3182/20120829-3-it-4022.00016
• Note: 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control

BibTeX

@article{Trang_VU_2012,
  title={{Port-Hamiltonian formulation for systems of conservation laws: application to plasma dynamics in Tokamak reactors}},
  volume={45},
  ISSN={1474-6670},
  DOI={10.3182/20120829-3-it-4022.00016},
  number={19},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Trang VU, Ngoc Minh and LEFEVRE, Laurent and MASCHKE, Bernhard},
  year={2012},
  pages={108--113}
}

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