Title :
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
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;
Conference_Titel :
Discharges and Electrical Insulation in Vacuum, 2006. ISDEIV '06. International Symposium on
Conference_Location :
Matsue
Print_ISBN :
1-4244-0191-7
Electronic_ISBN :
1093-2941
DOI :
10.1109/DEIV.2006.357292
