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.
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