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Analysing bifurcations encountered in numerical modelling of current transfer to cathodes of dc glow and arc discharges
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Advisor(s)
Abstract(s)
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.
Description
Keywords
Numerical modelling Bifurcations Cathodes of gas discharges Current transfer . Faculdade de Ciências Exatas e da Engenharia
Citation
Almeida, P. G. C., Benilov, M. S., Cunha, M. D., & Faria, M. J. (2009). Analysing bifurcations encountered in numerical modelling of current transfer to cathodes of dc glow and arc discharges. Journal of Physics D: Applied Physics, 42(19), 194010. DOI: 10.1088/0022-3727/42/19/194010
Publisher
IOP Publishing