Skip to main content
SpringerLink
Log in

A theoretical study of the impact of magnetic field of Hall current on the parameters of a high-current vacuum-arc discharge

  • Plasma Investigations
  • Published:
High Temperature Aims and scope

Abstract

It is demonstrated that the magnetic field of Hall current in a short high-current vacuum-arc discharge significantly distorts the external axial magnetic field and affects the distribution of current density in the discharge gap. This effect decreases with increasing external magnetic field, with decreasing arc current, and with decreasing ratio of the length of discharge gap to its transverse dimension. A 2D magnetohydrodynamic mathematical model is used to calculate the discharge parameters for different values of induction of external magnetic field. The calculation results are compared with similar results obtained using a 1.5D model in which the impact made by magnetic field of Hall current is ignored. It is inferred that the simpler 1.5D model may be employed in calculations of parameters of vacuum arc in a wide range of variation of arc current and of induction of external magnetic field.

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.

Similar content being viewed by others

References

  1. Braginskii, S.I., Vopr. Teor. Plazmy, 1963, issue 1, p. 183.

  2. Londer, Ya.I. and Ul’yanov, K.N., Teplofiz. Vys. Temp., 2007, vol. 45, no. 4, p. 499 (High Temp. (Engl. transl.), vol. 45, no. 4, p. 446).

    Google Scholar 

  3. Londer, Ya.I. and Ul’yanov, K.N., Teplofiz. Vys. Temp., 2005, vol. 43, no. 6, p. 845 (High Temp. (Engl. transl.), vol. 43, no. 6, p. 843).

    Google Scholar 

  4. Londer, Ya.I. and Ul’yanov, K.N., Teplofiz. Vys. Temp., 2006, vol. 44, no. 1, p. 25 (High Temp. (Engl. transl.), vol. 44, no. 1, p. 22).

    Google Scholar 

  5. Keidar, M., Beilis, I., Boxman, R.L., and Goldsmith, S., J. Phys. D, 1996, vol. 26, no. 7, p. 1973.

    Article  ADS  Google Scholar 

  6. Beilis, I., Keidar, M., Boxman, R.L., and Goldsmith, S., J. Appl. Phys., 1998, vol. 83, no. 2, p. 709.

    Article  ADS  Google Scholar 

  7. Schade, E. and Shmelev, D., IEEE Trans. Plasma Sci., 2003, vol. 31, no. 5, p. 890.

    Article  ADS  Google Scholar 

  8. Wang, L., Jia, S., Shi, Z., and Rong, M., MHD Simulation of Vacuum Arc Under Different AMF, in 21st Int. Symp. on Discharges and Electrical Insulation in Vacuum, Yalta, 2004, p. 197.

  9. Landau, L.D. and Lifshitz, E.M., Elektrodinamika sploshnykh sred (Electrodynamics of Continua), Moscow: Nauka, 1992.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. All-Russia Electrotechnical Institute, Moscow, 111250, Russia

    Ya. I. Londer & K. N. Ul’yanov

Authors
  1. Ya. I. Londer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. N. Ul’yanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © Ya.I. Londer, K.N. Ul’yanov, 2008, published in Teplofizika Vysokikh Temperatur, Vol. 46, No. 2, 2008, pp. 185–196.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Londer, Y.I., Ul’yanov, K.N. A theoretical study of the impact of magnetic field of Hall current on the parameters of a high-current vacuum-arc discharge. High Temp 46, 162–172 (2008). https://doi.org/10.1134/s10740-008-2003-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/s10740-008-2003-0

PACS numbers

Search

Navigation