Burning magneto-hydrodynamics plasmas model: A port-based modelling approach. Issue 1 (July 2017) - Vincent, Benjamin
Abstract: In this paper, we propose a burning magneto-hydrodynamic (MHD) plasma model for the Tokamak reactor. Our proposal considers both electro-magnetic and material physical fields. While the electro-magnetic domain is ruled by Maxwell equations, the material physical domain is described by kinetic theory. The transport model is built at microscopic level and extended at the macroscopic one, by computation of the moments of the Boltzmann equation. A macroscopic fluid-like model is then derived for suitable control analysis of the physical model. The fusion reaction does not preserve mass, hence the reaction is included from the very beginning of the modelling. The thermonuclear reaction is embedded from the microscopic scale and couples mass and energy balances. An entropy balance is derived from the Gibbs– Duhem equation and the irreversible entropy production is discussed in the case of thermonuclear reactions.