| Tokamak, as the more developed magnetic confinement system in the researchfiled of controlled nuclear fusion, has the disadvantages of huge volume and greatexperimental expenditure. Thus leads to the studies on non-Tokamak magneticconfinement system around the world. Galatea is one of such small non-Tokamakmagnetic confinement systems. The character of Galatea is that some of itsconductors, which constitutes the confinement magnetic field, are submerged in theplasma, and the conductors are called myxines. Based on Trimyx, a Galatea typemagnetic confinement system with three myxines, this paper studies the radialequilibrium, toroidal equilibrium and the equilibrium of plasma near a myxine,using the FEM software COMSOL Multiphysics, in order to get a steady stateconfiment in the plasma trap of Galatea for long enough.First, Based on the understanding of the structure, principle and experimentparameters of Trimyx, applying single particle model of plasma, the picture ofplasma motion in a Trimyx trap is given. The different principles of plasma trappingbetween the weak magnetic field area and myxine’s confinement area are discussed.Second, analysis of the confiment principle is given adopting the MHD modelsof plasma, and furthermore the radial and toroidal equilibrium is studied. A FEMmodel is proposed to simulate the radial equilibrium of plasma in a Trimyx of lineartopology. A simplified toroidal equilibrium model is proposed, the calculationmethod of external vertical magnetic field is given based on it. The study oftoiroidal equilibrium is conducted using FEM simulations.Finally, a one dimentional MHD model is proposed describing the confinementof plasma near a linear myxine, in order to study steady state pressure distributinonof plasma aiming at the seperation of plasma from myxine. Since a steady stateseperation cannot achieved, a quasi-equilibrium seperation method is proposed andtested by the MHD FEM model both in a linear and a toroidal topology. |