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“Ultimate” Configurations of the L = 1, m = 13 Torsatron and the “VINT-20” Torsatron as a Possibility of Creating a Tandem Stellarator–Mirror Trap Hybrid System

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Abstract

The paper is concerned with numerical investigation of various magnetic configurations of a single-pole toroidal L = 1, m = 13 “ultimate” torsatron having a low aspect ratio A h = 4.345 and the modulation factors (−0.23) ≤ α ≤ 0.71 (K = 1, β = 0) of the helix law −mφ = θ−αKSinθ−βKSin2θ. The extremums of the basic properties of closed magnetic surfaces as functions of the coefficient α in the neighborhood of α ≈ 0.4, as well as the structures of the edge magnetic field (substructures of virtual current) and the separatrix have been first determined for the L = 1, m = 13 “ultimate” torsatrons and the “Vint-20” torsatron. Unusual positions of the separatrix X-points in the cross sections for 1/4- and 3/4- magnetic field periods have been identified. The formula that takes into account the modulation factor α of the helix law was first derived to determine the average vertical magnetic field on the geometrical axis of the torus.

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Acknowledgments

The author considers it his duty to express gratitude to E.D. Volkov for his attention to the work and useful discussions; to V.G. Kotenko for stimulating discussions on the subject of the work; to V.K. Bocharov and V.S. Vojtsenya for consistent encouraging support; to O.I. Vasil’chenko and A.N. Shapoval for their special assistance during calculations.

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  1. Institute of Plasma Physics, National Science Center “Kharkiv Institute of Physics and Technology”, Kharkiv, 61108, Ukraine

    G. G. Lesnyakov

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Lesnyakov, G.G. “Ultimate” Configurations of the L = 1, m = 13 Torsatron and the “VINT-20” Torsatron as a Possibility of Creating a Tandem Stellarator–Mirror Trap Hybrid System. J Fusion Energ 32, 647–666 (2013). https://doi.org/10.1007/s10894-013-9629-6

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