A fractal model of discharge interception probability of a vertical grounded rod in the presence of a neighboring object

Khelil, D.; Bouazabia, S.; Mikropoulos, Pantelis N.

doi:10.1016/j.elstat.2018.08.005

Cited by 2 publications

(5 citation statements)

References 11 publications

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“…In accordance with previous works (Khelil et al , 2016, 2018), the electrical discharge in the system of Figure 2 initiates at the energized rod and progresses downward toward the grounded plane. The discharge progression is random and evolves where the electrical field satisfies the criterion: …”

Section: Simulation Modelsupporting

confidence: 91%

“…Note that in the studied case, the lightning rod is placed at the attractive distance X p = X 97.5% , corresponding to the attractive interception probability of the protection. Four heights of lightning rods “ h ” are studied (8.25 cm, 14.5 cm, 27 cm and 52 cm), which correspond respectively to X 97.5% (40 cm, 51 cm, 64 cm and 79 cm) (Khelil et al , 2018). This choice is justified by the fact that there is always an attachment between the downward and upward discharge for these distances.…”

Section: Resultsmentioning

confidence: 99%

“…Indeed, the length L i and angle θ i of the discharge propagation (Figure 3) vary randomly at each step (Khelil et al , 2018).…”

Section: Simulation Modelmentioning

confidence: 99%

“…Most of the works found in the literature have been interested in calculating the fractal dimension of the discharge, and few of them have combined between the fractal approach and protection against lightning. In these investigations, important results have been obtained in the case where the protection (lightning rod) is introduced on the ground (Khelil et al , 2016; Khelil et al , 2018). Thus, it was proved that the electrical field is one of the key parameters involved in the lightning discharge evolution (Maslowski and Rakov, 2006; Maslowski and Rakov, 2009).…”

Section: Introductionmentioning

confidence: 99%

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Measurement and approximation by simulation of the instantaneous breakdown voltage of lightning discharge in the presence of protection

Khelil

Bouazabia

Mikropoulos

2022

COMPEL

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Purpose The paper aims to estimate the instantaneous breakdown voltage of the lightning discharge from simulated figures in an energized rod-plane configuration protected by a lightning rod. The same configuration of electrodes has been the subject of experimental investigations for the measurement of the instantaneous breakdown voltage using oscillographic monitoring. This study validates the simulation model by making a comparison with experimentation and involves the role of the inception field of the upward discharge in the propagation of this last one. Design/methodology/approach The research methodology is based on the development of a fractal lightning protection model based on real physical conditions of the discharge propagation, such as the downward discharge and the upward one emanating from protection. The voltage drop and the randomness character of the lightning discharge are also taken into account. The electrical field is an important parameter in discharge development; it is considered in this work at each step of the discharge propagation by the finite element method. The instantaneous breakdown voltage is measured and estimated by both empirical equations and simulated figures of lightning discharge Findings The established model that allows estimating the instantaneous breakdown voltage from simulated discharges and empirical equations gives results in a good agreement with experimentation. The involvement of the upward discharge inception field emanating from the lightning rod in the evolution of electrical discharge is illustrated. Practical implications The work presented in this paper aims to develop a new fractal lightning protection model taking into consideration physical phenomena intervening in the development of the lightning discharge. Originality/value The originality of this work consists of the combination between fractals modelling of the electrical discharge and the protection against lightning, in addition, to use one of the characteristics of the electrical discharge, which is the instantaneous breakdown voltage, to prove the importance of the inception field emanating from the upward discharge in the propagation criterion of this last one.

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Section: Simulation Modelsupporting

confidence: 91%

Section: Resultsmentioning

confidence: 99%

“…Indeed, the length L i and angle θ i of the discharge propagation (Figure 3) vary randomly at each step (Khelil et al , 2018).…”

Section: Simulation Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Measurement and approximation by simulation of the instantaneous breakdown voltage of lightning discharge in the presence of protection

Khelil

Bouazabia

Mikropoulos

2022

COMPEL

Self Cite

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“…Indeed, given the resulting elongation of the channel of the electric discharge in such systems, the distribution of the electric field is also strongly modified [1]− [5]. Several experimental and theoretical investigations have been carried out to improve the understanding of the mechanisms governing the breakdown phenomenon and electrical discharges in non-uniform field systems [6] and [7], especially in rod-barrier-plane systems [1]− [5], [8]− [30]. These studies noted that the breakdown voltage is a function of the distance between the electrodes and their shape, the dimensions, the nature and position of the barrier and the applied voltage type [12], [26].…”

Section: Introductionmentioning

confidence: 99%

Electrical discharge reproduction in rod-barrier-plane system

Samira,

Leila,

Dyhia

et al. 2024

IJEECS

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The present paper deals with new modeling to reproduce the electric discharge in the rod-plane air gap system with rubber insulating barrier under AC and impulse voltage. This model considers the randomness character of discharge evolution which is governed by the electric field. The discharges shape obtained by this model are compared with ones given by experimental tests. The established model reproduces correctly the forms of discharges obtained by experimental tests under AC voltage. It is found that the behavior of the electrical discharge depends not only on the dimension (thickness and width) of the insulating barriers but on its positions in the air gap as well. It is to highlight that the mode of applied voltage is of key importance barrier. Experimental investigation shows that the developed arc can evolve on 1 to 4 channels. The generated discharges in AC voltage distinguish by the formation of a multiple-channel arc. Whereas, the discharge under lightning impulse voltage found to progress in a single channel whatever the barrier position and dimensions. The model confirms that electric field is the most important factor in the behavior of the rod-insulating barrier-plane system submitted to high voltage.

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A fractal model of discharge interception probability of a vertical grounded rod in the presence of a neighboring object

Cited by 2 publications

References 11 publications

Measurement and approximation by simulation of the instantaneous breakdown voltage of lightning discharge in the presence of protection

Measurement and approximation by simulation of the instantaneous breakdown voltage of lightning discharge in the presence of protection

Electrical discharge reproduction in rod-barrier-plane system

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