Expansions of non-symmetric toroidal magnetohydrodynamic equilibria

Journal Article · Tue Jun 21 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4954048· OSTI ID:1467570

Weitzner, Harold  ^[1]

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1. New York Univ. (NYU), New York, NY (United States)

Here, expansions of non-symmetric toroidal ideal magnetohydrodynamic equilibria with nested flux surfaces are carried out for two cases. The first expansion is in a topological torus in three dimensions, in which physical quantities are periodic of period 2π in y and z. Data is given on the flux surface x = 0. Despite the possibility of magnetic resonances the power series expansion can be carried to all orders in a parameter which measures the flux between x = 0 and the surface in question. Resonances are resolved by appropriate addition resonant fields. The second expansion is about a circular magnetic axis in a true torus. It is also assumed that the cross section of a flux surface at constant toroidal angle is approximately circular. The expansion is in an analogous flux coordinate, and despite potential resonance singularities, may be carried to all orders. Non-analytic behavior occurs near the magnetic axis. Physical quantities have a finite number of derivatives there. The results, even though no convergence proofs are given, support the possibility of smooth, well-behaved non-symmetric toroidal equilibria.

• Research Organization: New York Univ. (NYU), NY (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: FG02-86ER53223
• OSTI ID: 1467570
• Alternate ID(s): OSTI ID: 1258497
• Journal Information: Physics of Plasmas, Vol. 23, Issue 6; ISSN 1070-664X
• Publisher: American Institute of Physics (AIP)
• Country of Publication: United States
• Language: English

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