Authors

Benjamin Vincent, Remy Nouailletas, Jean-Francois Artaud, Nicolas Hudon, Laurent Lefevre, Denis Dochain

Abstract

In this contribution, we apply a spatial structure– preserving discretization scheme to a 1–D burning plasma model. The plasma dynamics are defined by a set of coupled conservation laws evolving in different physical domains, matching the port–Hamiltonian formalism in infinite dimension. This model describes the time evolution of magnetic, thermic, and material plasma profiles. A structure–preserving spectral collocation method is used to discretize the set of Partial Differential Equations (PDEs) into a finite–dimensional port– Hamiltonian system, a set of Ordinary Differential Equations (ODEs). The discretization scheme relies on the conservation of energy, based upon the transformation of Stokes–Dirac structures onto Dirac ones. Transport models and couplings are chosen to match with the experimental Tokamak ITER. Among the couplings, we include bootstrap and ohmic currents, ion–electron collision energy, radiation loses, and the fusion reaction. The obtained control model is compared with two steady–state operation points obtained from a physics–oriented plasma simulator.

Citation

  • Journal: 2019 IEEE 58th Conference on Decision and Control (CDC)
  • Year: 2019
  • Volume:
  • Issue:
  • Pages: 6869–6874
  • Publisher: IEEE
  • DOI: 10.1109/cdc40024.2019.9029939

BibTeX

@inproceedings{Vincent_2019,
  title={{Lumped port–Hamiltonian burning plasma control model}},
  DOI={10.1109/cdc40024.2019.9029939},
  booktitle={{2019 IEEE 58th Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Vincent, Benjamin and Nouailletas, Remy and Artaud, Jean-Francois and Hudon, Nicolas and Lefevre, Laurent and Dochain, Denis},
  year={2019},
  pages={6869--6874}
}

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References