Numerical investigation of regimes of current transfer to anodes of high-pressure arc discharges

Abstract

Unified 1D numerical modeling of high-pressure high-current arc discharges is revisited. Two regimes of current transfer to anodes are investigated. The “passive anode” regime occurs for low and moderate anode surface temperatures [Formula: see text]. The energy flux from the plasma to the anode surface, [Formula: see text], depends on [Formula: see text] rather weakly in this regime and may be conveniently expressed in terms of the local current density [Formula: see text], and the so-called anode heating voltage [Formula: see text] [Formula: see text] is independent of the arc length and the cathode surface temperature, although it weakly varies with [Formula: see text] between approximately [Formula: see text] in the range from [Formula: see text]. In the “active anode” regime, [Formula: see text] is higher than in the passive anode regime and varies with [Formula: see text]. The active anode regime may occur on hot refractory anodes, such as those of high-intensity discharge lamps, when [Formula: see text] exceeds approximately [Formula: see text] and the thermionic electron emission from the anode comes into play. The latter causes an increase in the electron density near the anode. One consequence is the increase in the electron energy transport from the bulk plasma to the near-anode layer by electron heat conduction. The other effect contributing to increase in [Formula: see text] is the formation of a negative near-anode space-charge sheath with a positive voltage drop. In non-stationary simulations, the active regime occurs via the development of a thermal instability similar to that causing the appearance of spots on thermionic arc cathodes. The occurrence of the active regime is strongly affected by parameters, in particular, by the distance between the anode surface and the cooling fluid.