Lumped port-Hamiltonian burning plasma control model

Vincent, Benjamin [UCL] Nouailletas, Rémy [CEA] Artaud, Jean-François [CEA] Hudon, Nicolas [Queen's University] Lefevre Laurent [LCIS] Dochain, Denis [UCL]

In this contribution, we apply a spatial structure preserving discretization scheme to a simplified 1-D burning plasma model. The plasma dynamics is 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 finite-dimensional port-Hamiltonian systems, 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. The choice of transport model and coupling within the system is set to match with the future ITER experimental Tokamak. 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.