2006
DOI: 10.2355/isijinternational.46.1618
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Numerical Model on the Interaction of a Vacuum Arc with a Copper Cathode

Abstract: Experimental and theoretical studies of arc cathode region have been made during several decades and the task is not yet completed, in spite of many efforts and progress. In this work, a numerical model describing the arc cathode region is developed. The arc is treated as a steady state phenomenon. The model is then applied to a vacuum arc discharge interacting with a Cu cathode at low current (4-50 A). The model yields the temperature and electric field strength at the cathode surface, electrons emitted and t… Show more

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Cited by 5 publications
(7 citation statements)
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References 14 publications
(19 reference statements)
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“…Beilis developed a model that includes physical processes in the near-cathode plasma and divides the near-cathode plasma region into multiple layers [16]. The effect of the electron temperature on the cathode spot process was investigated in [17]. In recent years, the development of computer technology has led to the development of transient cathode-spot models that couple thermodynamics with fluid dynamics [18][19][20][21][22][23].…”
Section: Introductionmentioning
confidence: 99%
“…Beilis developed a model that includes physical processes in the near-cathode plasma and divides the near-cathode plasma region into multiple layers [16]. The effect of the electron temperature on the cathode spot process was investigated in [17]. In recent years, the development of computer technology has led to the development of transient cathode-spot models that couple thermodynamics with fluid dynamics [18][19][20][21][22][23].…”
Section: Introductionmentioning
confidence: 99%
“…Assumption 1: The model ignores the stage of explosive launch before the formation of the cathode spot. The plasma cloud originates from a micro-explosion on the cathode surface or from the previous cathode spot can be considered electrically neutral due to its extremely short formation time [17,[28][29][30][31][32]. Moreover, the electrode surface is considered as a flat surface without protrusions after the explosion in the modeling.…”
Section: A Model Assumptionsmentioning
confidence: 99%
“…ε 0 is the vacuum permittivity/F•m −1 . In the plasma formed by the ionization of the evaporated atoms, some ions return to the surface of the cathode to form Γ i(back) , and the corresponding current density is expressed as [32]:…”
Section: B Governing Equations and Boundary Conditionsmentioning
confidence: 99%
“…The physical model used in the present simulation is based on the modelling of cathode spot phenomena in vacuum or high pressure arcs. The modelling of the arc cathode region has been treated by numerous authors, amongst others, Beilis [17], Coulombe [18], Rossignol [19], Zhou [20], Rethfeld [21], He [22], Mitterauer [23], Klein [24] and Messaad [25]. Most of these studies consider a cathode region divided into three zones: the cathode surface, the cathode sheath and the ionization zone.…”
Section: The Physical Modelmentioning
confidence: 99%
“…The ion power density P i is the product of the ion current density J i and the mean energy delivered by each ion impinging the cathode. The mean ion energy is composed of the thermal, kinetic, neutralization and condensation energies [25]:…”
Section: Electron Emission and Nottingham Coolingmentioning
confidence: 99%