Magnetohydrodynamic stability of spheromak plasma in spheroidal flux conserver: Application of Mercier criterion
Abstract
The magnetohydrodynamic (MHD) equilibrium configurations of spheromak plasmas in a spheroidal flux conserver are determined by use of a pressure distribution whose derivative dp/d psi vanishes on the magnetic axis, and by use of an optimized distribution. Here p is the pressure and psi is the flux function. These equilibria are shown to be stable for symmetric modes. The stability for localized modes is investigated by the Mercier criterion. The values of the maximum beta ratio are evaluated for both pressure distributions and are shown to become about two times larger by optimization. If the condition, g(axis) 1, is required, the values of the maximum beta ratio are found to be less than 30%. The oblate spheroidal flux conserver is shown to be better than the toroidal conserver with a rectangular cross section from the standpoint of stability.
 Publication:

Unknown
 Pub Date:
 November 1985
 Bibcode:
 1985mhds.bookR....K
 Keywords:

 Magnetohydrodynamic Stability;
 Plasma Control;
 Plasma Equilibrium;
 Spheromaks;
 Differential Equations;
 Magnetic Field Configurations;
 Pressure Distribution;
 Plasma Physics