Skip to main content
SpringerLink
Log in

Stabilization of axisymmetric instability in a tokamak with a diverter

  • III. Mathematical Modeling in Plasma Physics
  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Abstract

We consider the stabilization of vertical instability of a toroidal plasma pinch using passive ring conductors. The analysis is conducted by two techniques: by numerical solution of the system of linearized MHD equations and by applying the energy principle. We investigate the dependence of plasma stability on the location and the number of conductors and examine the effect produced by closing the conductors into sections. For an INTOR plasma pinch we show that a small number N ∼ 4 of properly placed conductors of reasonable size may suppress vertical instability.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature Cited

  1. G. Laval, R. Pellat, and G. Soule, "Hydromagnetic stability of a current-carrying pinch with noncircular cross section," Phys. Fluids,17, No. 4, 835–845 (1974).

    Google Scholar 

  2. A. F. Danilov and A. M. Popov, "Stability of a current-carrying elliptical plasma cylinder in a shell of arbitrary shape," Fiz. Plazmy,3, No. 2, 291–299 (1977).

    Google Scholar 

  3. L. Bernard, D. Berger, R. Gruber, and F. Troyon, "Axisymmetric MHD stability of elongated tokamaks," Nucl. Fusion,18, No. 10, 1331–1335 (1978).

    Google Scholar 

  4. A. M. Popov and D. Yu. Sychugov, "Plasma stability in the presence of a magnetic surface separatrix," in: Mathematical Modeling of Kinetic and MHD Processes in Plasma [in Russian], Moscow State Univ. (1979), pp. 39–54.

  5. A. M. Popov and D. Yu. Sychugov, "Equilibrium and stability of a toroidal plasma pinch with a diverter," Vestn. Mosk. Gos. Univ. Ser. Vychisl. Mat. Kiber., No. 3, 32–37 (1980).

    Google Scholar 

  6. N. N. Brevnov and S. N. Gerasimov, Magnetic Configuration of the Poloidal Diverter on T-12 Tokamak [in Russian], Preprint No. 3184, IAE im. I. V. Kurchatov (1979).

  7. P. N. Vabishevich, L. M. Degtyaraev, V. V. Drozdov, and others, "INTOR poloidal field configuration," Proc. 10th European Conf. Controlled Fusion and Plasma Physics, Vol. 1 (1981), pp. 6–4.

    Google Scholar 

  8. D. Yu. Sychugov, "A method of calculating a toroidal plasma pinch in the magnetic field of external stationary currents," in: Applied Mathematics and Mathematical Computer Software [in Russian], Moscow State Univ. (1980), pp. 26–28.

  9. L. S. Solov'ev, "Hydromagnetic stability of closed plasma configurations," in: Reviews of Plasma Physics, Vol. 6, Consultants Bureau, New York (1975).

    Google Scholar 

Download references

Authors
  1. D. Yu. Sychugov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. V. Zotov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Vychislitel'naya Matematika i Matematicheskoe Obespechenie EVM, pp. 130–138, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sychugov, D.Y., Zotov, I.V. Stabilization of axisymmetric instability in a tokamak with a diverter. Comput Math Model 1, 61–66 (1990). https://doi.org/10.1007/BF01128313

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01128313

Keywords

Search

Navigation