Evaluation of the Emission Current Density from Non-refractory Cathodes of Electric Arcs by means of the Transfer Matrix Method | IEEE Conference Publication | IEEE Xplore

Evaluation of the Emission Current Density from Non-refractory Cathodes of Electric Arcs by means of the Transfer Matrix Method


Abstract:

The Transfer Matrix Method for solving the steady-state Schrödinger equation is applied in order to evaluate the emission current density from non-refractory cathodes. Th...Show More

Abstract:

The Transfer Matrix Method for solving the steady-state Schrödinger equation is applied in order to evaluate the emission current density from non-refractory cathodes. The transmission probability of the potential barrier is obtained without any analytical approximations since the method is applicable to arbitrary barrier shapes. The Fermi-Dirac distribution for the free electrons in the metal is used as a supply function. The emission current is obtained by a numerical integration. The results, obtained for a work function of the cathode material of 4.5 eV over a wide range of values of the surface temperature and the electric field strength, clearly show that with the increase of the electric field strength, the deviation from values obtained by the classical approximation is growing. Furthermore, a significant enhancement of the emission current is obtained as a result of ion presence near the metal surface.
Date of Conference: 23-28 September 2018
Date Added to IEEE Xplore: 18 November 2018
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Conference Location: Greifswald, Germany

I. Introduction

The interaction between an electric arc and its electrodes has become an indispensable feature of up-to-date arc plasma models due to the need for understanding and description of the arc attachment to the electrodes. The arc attachment to refractory cathodes and non-refractory anodes has been considered in review articles during the last decade (see e.g. [1]–[4]). Refractory cathodes withstand temperatures above the melting point of non-refractory materials and the emission current from them is chiefly due to thermionic emission. Non-refractory cathodes, as used e.g. in gas-metal welding arcs, circuit breakers, and plasma torches, have been considered to produce electron emission due to the high electric field near the cathode surface [5]. Although it has been proposed that instead of field emission, electrons may be produced as a result of photoionization of neutral atoms by radiation from the arc [6] or impact of excited atoms at the cathode [7], the dominant emission mechanism has not been clearly established. It has been shown by Ecker et al. [8] that the thermo-field emission current can be significantly enhanced by the field of ions coming from the plasma without having to enhance the temperature or the electric field at the cathode surface.

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