Mathematical Model of the Vacuum Arc in an External Axial Magnetic Field

Author

Londer, Ya I. ; Ulyanov, K.N.

Author_Institution

All-Russian Electrotechnical Inst., Moscow

Volume

1

fYear

2006

fDate

25-29 Sept. 2006

Firstpage

305

Lastpage

308

Abstract

A physical model of the vacuum arc discharge (VAD) is developed and used as a basis for original 1D and 2D two-liquid mathematical models. The 2D magneto-hydrodynamic model is based on the method of trajectories, which allowed reducing a set of equations in the partial derivatives to a set of common differential equations written for the derivatives along the current lines. The criterion determining the 1D model application area in an axial magnetic field B₀ is obtained. Calculations of critical current dependence on value of B₀ were made for electrode gaps of different geometry

Keywords

differential equations; magnetohydrodynamics; plasma magnetohydrodynamics; plasma transport processes; vacuum arcs; 1D two-liquid mathematical models; 2D magneto-hydrodynamic model; 2D two-liquid mathematical models; differential equations; electrode gaps; external axial magnetic field; partial derivatives; trajectories method; vacuum arc discharge; Anodes; Cathodes; Differential equations; Electrons; Erbium; Fires; Magnetic fields; Mathematical model; Plasmas; Vacuum arcs;

fLanguage

English

Publisher

ieee

Conference_Titel

Discharges and Electrical Insulation in Vacuum, 2006. ISDEIV '06. International Symposium on

Conference_Location

Matsue

ISSN

1093-2941

Print_ISBN

1-4244-0191-7

Electronic_ISBN

1093-2941

Type

conf

DOI

10.1109/DEIV.2006.357292

Filename

4194872