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Research Project
Strategic Project - UI 219 - 2011-2012
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Publications
Comparing two non-equilibrium approaches to modelling of a free-burning arc
Publication . Baeva, M.; Uhrlandt, D.; Benilov, M. S.; Cunha, M. D.
Two models of high-pressure arc discharges are compared with each other and with
experimental data for an atmospheric-pressure free-burning arc in argon for arc currents of
20–200 A. The models account for space-charge effects and thermal and ionization
non-equilibrium in somewhat different ways. One model considers space-charge effects,
thermal and ionization non-equilibrium in the near-cathode region and thermal
non-equilibrium in the bulk plasma. The other model considers thermal and ionization
non-equilibrium in the entire arc plasma and space-charge effects in the near-cathode region.
Both models are capable of predicting the arc voltage in fair agreement with experimental
data. Differences are observed in the arc attachment to the cathode, which do not strongly
affect the near-cathode voltage drop and the total arc voltage for arc currents exceeding 75 A.
For lower arc currents the difference is significant but the arc column structure is quite similar
and the predicted bulk plasma characteristics are relatively close to each other.
Stability of very-high pressure arc discharges against perturbations of the electron temperature
Publication . Benilov, M. S.; Hechtfischer, U.
We study the stability of the energy balance of the electron gas in very high–pressure plasmas
against longitudinal perturbations, using a local dispersion analysis. After deriving a dispersion
equation, we apply the model to a very high–pressure (100 bar) xenon plasma and find instability
for electron temperatures, Te, in a window between 2400 K and 5500-7000 K, depending on the
current density (106
–108 A/m2
). The instability can be traced back to the Joule heating of the
electron gas being a growing function of Te, which is due to a rising dependence of the electron atom collision frequency on Te. We then analyze the Te range occurring in very high–pressure
xenon lamps and conclude that only the near-anode region exhibits Te sufficiently low for this
instability to occur. Indeed, previous experiments have revealed that such lamps develop, under
certain conditions, voltage oscillations accompanied by electromagnetic interference, and this
instability has been pinned down to the plasma-anode interaction. A relation between the
mechanisms of the considered instability and multiple anodic attachments of high-pressure arcs is
discussed.
Modeling cathode spots in vacuum arcs burning on multi-component contacts
Publication . Benilov, M. S.; Benilova, L. G.; Cunha, M. D.; Hartmann, W.; Lawall, A.; Wenzel, N.
A self-consistent space-resolved numerical
model of cathode spots in vacuum arcs is developed on
the basis of the COMSOL Multiphysics software. The
model is applied to cathode spots on copper-chromium
(CuCr) contacts of vacuum interrupters. In the limiting
case of large grains, the main effect of change in cathode
material from Cu to Cr is the reduction of thermal
conductivity of the cathode material, which causes a
reduction of spot radius and spot current. Hence, the
model indicates that spots with currents of the order of
tens of amperes on Cu coexist with spots on Cr with
currents between one and two amperes. The parameters
of spots on small Cr grains of the order of 10 µm size are
rather close to those of spots on pure Cu, whereas the
parameters for spots on medium-size Cr grains of
around 20 µm are quite different from those of spots on
both pure Cu and pure Cr. The power flux is directed
from the cathode into the plasma, i.e., it is the cathode
that heats the plasma – and not the other way round.
What maintains the spot is a substantial Joule heating
inside the cathode bulk. About 70 percent of the heat is
generated in the grain and 30 percent in the surrounding
copper. One may hypothesize that such grains are highly
unstable, leading to explosive-like behavior with a
consequent additional loss of cathode material, and a
severe limitation in spot lifetime.
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Funders
Funding agency
Fundação para a Ciência e a Tecnologia
Funding programme
6817 - DCRRNI ID
Funding Award Number
PEst-OE/MAT/UI0219/2011