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Research Project
ESTUDO DOS MODOS DE TRANSFERÊNCIA DE CORRENTE AOS CÁTODOS DAS DESCARGAS DE GÁS
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Multiple solutions in the theory of dc glow discharges
Publication . Almeida, P. G. C.; Benilov, M. S.; Faria, M. J.
Multiple steady-state solutions existing in the theory of dc glow discharges are computed for
the first time. The simulations are performed in 2D in the framework of the simplest
self-consistent model, which accounts for a single ion species and employs the drift–diffusion
approximation. Solutions describing up to nine different modes were found in the case where
losses of the ions and the electrons due to diffusion to the wall were neglected. One mode is
1D, exists at all values of the discharge current, and represents in essence the well-known
solution of von Engel and Steenbeck. The other eight modes are axially symmetric, exist in
limited ranges of the discharge current, and are associated with different patterns of current
spots on the cathode. The mode with a spot at the centre of the cathode exhibits a well
pronounced effect of normal current density. Account of diffusion losses affects the solutions
dramatically: the number of solutions is reduced, a mode appears that exists at all discharge
currents and comprises the Townsend, subnormal, normal and abnormal discharges. The
solutions that exist in limited current ranges describe patterns, and these patterns seem to
represent axially symmetric analogues of the 3D patterns observed in dc glow microdischarges
in xenon.
Study of stability of dc glow discharges with the use of Comsol Multiphysics software
Publication . Almeida, P. G. C.; Benilov, M. S.; Faria, M. J.
Stability of different axially symmetric modes of current transfer in dc glow discharges is
investigated in the framework of the linear stability theory with the use of Comsol
Multiphysics software. Conditions of current-controlled microdischarges in xenon are treated
as an example. Both real and complex eigenvalues have been detected, meaning that
perturbations can vary with time both monotonically and with oscillations. In general, results
given by the linear stability theory confirm intuitive concepts developed in the literature and
conform to the experiment. On the other hand, suggestions are provided for further
experimental and theoretical work.
Three-dimensional modeling of self-organization in DC glow microdischarges
Publication . Almeida, P. G. C.; Benilov, M. S.; Faria, M. J.
Three-dimensional simulations of self-organization
in dc glow microdischarges are reported. The results describe a
mode with a normal spot and modes with patterns of multiple
spots, qualitatively similar to those observed in experiments with
microdischarges in xenon.
Formation of stationary and transient spots on thermionic cathodes and its prevention
Publication . Almeida, Pedro G. C.; Benilov, M. S.; Cunha, M. D.
Spots on cathodes of high-pressure arc discharges induced by a rapid increase in the arc
current are studied numerically and experimentally. Appearance of stationary and transient
spots is analysed in the context of the general pattern of steady-state modes of current transfer
to thermionic cathodes and their stability. Transient spots are studied in experiments with
COST-529 standard lamps. Modelling and experimental results are in reasonable agreement.
A method to prevent formation of transient spots on cathodes of high-pressure arc discharges
by means of short negative rectangular current pulses is proposed and validated both
numerically and experimentally. Experimental indications are found that the main mechanism
of blackening of burners of HID lamps that accompanies appearance of transient cathode spots
is evaporation of the cathode material and not sputtering.
Analysing bifurcations encountered in numerical modelling of current transfer to cathodes of dc glow and arc discharges
Publication . Almeida, P. G. C.; Benilov, M. S.; Cunha, M. D.; Faria, M. J.
Bifurcations and/or their consequences are frequently encountered in numerical modelling of
current transfer to cathodes of gas discharges, also in apparently simple situations, and a
failure to recognize and properly analyse a bifurcation may create difficulties in the modelling
and hinder the understanding of numerical results and the underlying physics. This work is
concerned with analysis of bifurcations that have been encountered in the modelling of
steady-state current transfer to cathodes of glow and arc discharges. All basic types of
steady-state bifurcations (fold, transcritical, pitchfork) have been identified and analysed. The
analysis provides explanations to many results obtained in numerical modelling. In particular,
it is shown that dramatic changes in patterns of current transfer to cathodes of both glow and
arc discharges, described by numerical modelling, occur through perturbed transcritical
bifurcations of first- and second-order contact. The analysis elucidates the reason why the
mode of glow discharge associated with the falling section of the current–voltage
characteristic in the solution of von Engel and Steenbeck seems not to appear in 2D numerical
modelling and the subnormal and normal modes appear instead. A similar effect has been
identified in numerical modelling of arc cathodes and explained.
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Funding agency
Fundação para a Ciência e a Tecnologia
Funding programme
POSI
Funding Award Number
SFRH/BD/30598/2006