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Phys. Plasmas 7, 2959 (2000); http://dx.doi.org/10.1063/1.874147 (5 pages)
Stable high beta spheromak equilibria using concave flux conservers
(Received 21 December 1999; accepted 11 April 2000)
Ideal magnetohydrodynamic stability to the n = 1 and n = 2 modes are calculated for spheromak equilibria in flux conserver shapes, which include a midplane gap, conforming outer wall, and concave side walls. The equilibria are force-free (∇×B = λ(ψ)B) but not minimum energy states and, therefore, have nonuniform λ(ψ) profiles. For each flux conserver shape, the equilibrium with the most hollow linear λ(ψ) profile is found that is stable to the n = 1 and n = 2 modes. The Mercier β limit is calculated for each flux conserver shape using the most hollow current profile constrained by the stability boundary. The results show that a stable high 〈β〉 (>10%) spheromak equilibrium can be produced using a concave flux conserver, improving energy confinement times and plasma performance. © 2000 American Institute of Physics.
© 2000 American Institute of Physics
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