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Local synthesis of 3D magnetic surfaces

  • Magnetic Confinement Systems
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Abstract

Local synthesis of nested 3D toroidal magnetic surfaces is carried out on the basis of the general theory of surfaces by using magnetic coordinates (generally unknown a priori). An equilibrium magnetic surface is calculated by specifying two functions on the surface (the absolute value of the magnetic field and the distance to the nearest magnetic surface) and three parameters (the rotational transform, pressure gradient, and poloidal current). The choice of the parameters is restricted by the requirement that the surface should be closed toroidally. A method of synthesis of a closed magnetic surface is proposed when two functions—the absolute value of the magnetic field and the major radius—are specified. A set of harmonics of a new type of poloidally preudosymmetric configuration (a toroidal mirror with a large mirror ratio and small rotational transform) is obtained.

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References

  1. A. A. Skovoroda, Magnetic Systems for Plasma Confinement (Fizmatlit, Moscow, 2009) [in Russian].

    Google Scholar 

  2. A. A. Subbotin, M. I. Mikhailov, V. D. Shafranov, M. Yu. Isaev, C. Nührenberg, J. Nührenberg, R. Zille, V. V. Nemov, S. V. Kasilov, V. N. Kalyuzhnyj, and W. A. Cooper, Nucl. Fusion 46, 921 (2006).

    Article  ADS  Google Scholar 

  3. A. H. Boozer, Phys. Plasmas 9, 3762 (2002).

    Article  ADS  MathSciNet  Google Scholar 

  4. A. A. Skovoroda, JETP 117, 153 (2013).

    Article  ADS  Google Scholar 

  5. A. A. Skovoroda, Plasma Phys. Rep. 32, 977 (2006).

    Article  ADS  Google Scholar 

  6. M. I. Mikhailov, V. D. Shafranov, and D. Zyunder, Plasma Phys. Rep. 24, 653 (1998).

    ADS  Google Scholar 

  7. A. A. Skovoroda and V. D. Shafranov, Plasma Phys. Rep. 21, 887 (1995).

    ADS  Google Scholar 

  8. A. H. Boozer, Phys. Fluids 26, 496 (1983).

    Article  ADS  Google Scholar 

  9. V. D. Shafranov, Plasma Phys. Controlled Fusion 43, A1 (2001).

    Article  ADS  Google Scholar 

  10. D. A. Panov, Plasma Phys. Rep. 9, 112 (1983).

    Google Scholar 

  11. A. A. Skovoroda, Plasma Phys. Controlled Fusion 47, 1911 (2005).

    Article  ADS  Google Scholar 

  12. S. Gori, W. Lotz, and J. Nührenberg, in Proceedings of the ISPP-17 Joint Varenna–Lausanne International Workshop on Theory of Fusion Plasmas, Varenna, 1996, Ed. by. J. W. Connor, E. Sindoni, and J. Vaclavik (Società Italiana di Fisica, Bologna, 1996), p. 335.

  13. W. A. Cooper, M. Yu. Isaev, M. F. Heyn, V. N. Kalyuzhnyj, S. V. Kasilov, W. Kerbichler, A. Yu. Kuyanov, M. I. Mikhailov, V. V. Nemov, J. Nührenberg, M. A. Samitov, V. D. Shafranov, A. A. Skovoroda, A. A. Subbotin, R. Zille, et al., in Proceedings of the 19th International Conference on Fusion Energy, Lyon, 2002, Paper IC/P-06. http://www-pub.iaea.org/MTCD/publications/PDF/csp_019c/pdf/icp_06.pdf.

    Google Scholar 

  14. A. A. Skovoroda, Plasma Phys. Rep. 26, 550 (2000).

    Article  ADS  Google Scholar 

  15. S. P. Novikov and I. A. Taimanov, Contemporary Geometrical Structures and Fields (MTsNMO, Moscow, 2005) [in Russian].

    Google Scholar 

  16. C. Nührenberg, M. I. Mikhailov, J. Nührenberg, and V. D. Shafranov, Plasma Phys. Rep. 36, 558 (2010).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. National Research Center “Kurchatov Institute,”, Moscow, 123182, Russia

    A. A. Skovoroda

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  1. A. A. Skovoroda
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Correspondence to A. A. Skovoroda.

Additional information

Original Russian Text © A.A. Skovoroda, 2017, published in Fizika Plazmy, 2017, Vol. 43, No. 10, pp. 799–811.

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Skovoroda, A.A. Local synthesis of 3D magnetic surfaces. Plasma Phys. Rep. 43, 969–980 (2017). https://doi.org/10.1134/S1063780X1710004X

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  • DOI: https://doi.org/10.1134/S1063780X1710004X

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