A New Integrated Approach for Fast Intrinsic Dielectric Breakdown

R. F. M. Lobo, Lucas Máximo Alves

Research output: Contribution to journalArticle

Abstract

A non-equilibrium phenomenological description for a complete dielectric breakdown sequence in perfect solid electric insulators, from the dynamics of instability to the growth of branching patterns, is implemented. It represents an original treatment which allows overcoming the current lack of such a complete physical description,
involving thermodynamics, and in particular equations on maximum dissipation energy for dielectric breakdown are
developed. From the assumption that there is a time delay in the energy rates and propagation speeds between the
system input and output, a principle of maximum energy dissipation is postulated and corresponding dynamic evolution
equations were obtained. It is shown that the delay in those speeds gives rise to the appearance of iterated equations
which in turn leads to the logistic maps describing the dynamic evolution of the system. The results can describe the
instability process along with dissipation patterns formation. The vast theoretical and experimental analogies between
mechanical fracture and dielectric rupture, lead us to foresee the potential applicability of this model in the prediction
of dielectric rupture patterns. This work opens then the possibility to predict the consequent branching patterns by using
a maximum energy dissipation principle, contributing in a significant way for energy efficiency engineering.
Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalInternational Journal of Innovative Research in Science, Engineering and Technology
Volume7
Issue number8
Publication statusPublished - Jun 2018

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breakdown
energy dissipation
logistics
time lag
dissipation
insulators
engineering
thermodynamics
propagation
energy
output

Keywords

  • Dielectric breakdown
  • Breakdown branching
  • Maximum energy dissipation
  • Energy efficiency

Cite this

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title = "A New Integrated Approach for Fast Intrinsic Dielectric Breakdown",
abstract = "A non-equilibrium phenomenological description for a complete dielectric breakdown sequence in perfect solid electric insulators, from the dynamics of instability to the growth of branching patterns, is implemented. It represents an original treatment which allows overcoming the current lack of such a complete physical description,involving thermodynamics, and in particular equations on maximum dissipation energy for dielectric breakdown aredeveloped. From the assumption that there is a time delay in the energy rates and propagation speeds between thesystem input and output, a principle of maximum energy dissipation is postulated and corresponding dynamic evolutionequations were obtained. It is shown that the delay in those speeds gives rise to the appearance of iterated equationswhich in turn leads to the logistic maps describing the dynamic evolution of the system. The results can describe theinstability process along with dissipation patterns formation. The vast theoretical and experimental analogies betweenmechanical fracture and dielectric rupture, lead us to foresee the potential applicability of this model in the predictionof dielectric rupture patterns. This work opens then the possibility to predict the consequent branching patterns by usinga maximum energy dissipation principle, contributing in a significant way for energy efficiency engineering.",
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author = "Lobo, {R. F. M.} and Alves, {Lucas M{\'a}ximo}",
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A New Integrated Approach for Fast Intrinsic Dielectric Breakdown. / Lobo, R. F. M.; Alves, Lucas Máximo.

In: International Journal of Innovative Research in Science, Engineering and Technology, Vol. 7, No. 8, 06.2018, p. 1-16.

Research output: Contribution to journalArticle

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AU - Alves, Lucas Máximo

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