A Equilibrium Magnetic Field for a Toroidal Plasma

Abstract

In the toroidal coodinates, a equilibrium analysis is presented for a toroidally symmetrical, sharp boundary plasma. The plasma β and aspect ratio, Rp/rp, are assumed arbitrarily. In the equilibrium, the maximum plasma βp is evaluated as Max βp=1/4 (Rp/rp+rp/Rp) +1/2. When corrents flow on te plasmasurface and external conductors, a equilibrium magnetic iiela and the currents is analitically solved. In the case in which there exist the external conductors infinitely far from the plasma, a stagnation point and separatrix can be found near the plasma surface. Furthermore, the magnetic surfaces similar to the external conductors form can be found outside such the separatrix. The current density flowing on coils placed outside magnetic surfaces is much higer than that on inside them. The stagnation points exist inside and outside the coiles, or on the ones.