Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal

Wang Shuai; Yin Zelong; Gu Liang; Shuai Xiaoxiao

doi:doi:10.11648/j.jeee.20180606.12

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Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal

Wang Shuai, Yin Zelong, Gu Liang, Shuai Xiaoxiao

Published in Journal of Electrical and Electronic Engineering (Volume 6, Issue 6)

Received: 10 November 2018 Accepted: 4 December 2018 Published: 28 December 2018

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Abstract

The damage of arc to gas insulation protection will affect the safe and stable operation of power system seriously in the field of high voltage insulation. Therefore, it is a great theoretical value and practical significance to study the mechanism of gas discharge and find out the law of gas discharge under different conditions for ensuring the safe and stable operation of power system. In order to study the variation law of arc channel complexity under different voltage levels, this paper adopts the discharging experiment of needle-plate electrode, adds different high voltage to the needle-plate electrode under other conditions unchanged, carries out many experiments, and collects five groups of discharging channel plans of needle-plate gap under different voltage. The are discharge channel image in the experiment is restored to the three-dimensional image from the space angle, and the fractal dimension of arc discharge channel under different voltage pressure is calculated by box dimension method of fractal dimension. The results show that the complexity of discharge channel decreases with the increase of voltage level, that is, the lower the voltage level and the larger the fractal dimension.

Published in	Journal of Electrical and Electronic Engineering (Volume 6, Issue 6)
DOI	10.11648/j.jeee.20180606.12
Page(s)	146-152
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Arc Discharge, Needle-Plate Electrode, Three-Dimensional Image, Fractal Dimension

References

[1]	Yang Yousong, Shen Quntai. A New Phase-Shift Full-Bridge Zero-Voltage-Switching PWM Converter [J]. Telecom Power Technology, 2010, 27 (1): 1-3.
[2]	Lauri Kumpulainen, G. Amjad Hussain. Preemptive Arc Fault Detection Techniques in Switchgear and Controlgear [J]. IEEE Transactions on Industry Applications, 2013, 49 (4): 1911-1919.
[3]	Audrey Karperien, Helmut Ahammer, Herbert F. Jelinek. Quantitating the subtleties of microglial morphology with fractal analysis [J]. Frontiers in Cellular Neuroscience, 2013, 7 (3): 1-18.
[4]	Ute Ebert, Sander Nijdam, Chao Li, Alejandro Luque, Tanja Briels, Review of recent results on streamer discharges and discussion of their relevance for sprites and lightning [J]. Journal of Geophysical Research Atmospheres. 2010, 10.
[5]	EM van Veldhuizen, WR Rutgers. Pulsed positive corona streamer propagation and branching [J]. IEEE Journal of Physics D Applied Physics, 2002, 35 (17): 2169-2179.
[6]	M. Fujii, S. Ohmori, J. Maeda and H. Ihori. Development of electrical trees in two-and three-dimensional silicon rubbers. Proceedings of 2005 International Symposium on Electrical Insulating Materials, 2005.
[7]	Gu Chen, Yan Ping, Zhang Shichang. Simulation and calculation of dielectric discharge based on Fractal Theory [J]. High Voltage Technique, 2006, 32 (1): 1-4.
[8]	Zheng Jianyi, he Wen. Research status of pulsed power technology [J]. Electrical and Mechanica Engineering, 2008, 25 (4): 1-4.
[9]	Manabu Tanaka, Yosuke Tsuruoka, Yaping Liu, et al. Investigation of multiphase AC arc behavior by high-speed video observation [J]. IEEE Transactions on Plasma Science, 2011, 39 (11): 2904-2905.
[10]	Kevin Leu, Geoffrey B. West, Alexander B. Herman. Using fractal geometry and universal growth curves as diagnostics for comparing tumor vasculature and metabolic rate with healthy tissue and for predicting responses to drug therapies [J]. Discrete and Continuous Dynamical Systems. 2013, 18 (4): 1077-1108.
[11]	Tripathy. MC, Mondal. D, Biswas. K. Experimental studies on realization of fractional inductors and fractional-order bandpass filters [J]. International Journal of Circuit Theory and Applications, 2014, 43 (9).
[12]	Zhengning Gan. Power & Energy Engineering Conference. Equivalent-Ion Model of the Mixed Gas Discharge [C]. Changsha: Changsha University of Science & Technology, 2012.
[13]	Shu Shengwen, Liu Chang, Ruan Jiangjun. Review on Prediction Methods for Breakdown Voltage of Air Gap [J]. High Voltage Apparatus, 2016, 52 (7), 19-26.
[14]	Shijun Xie, Xiangen Zhao. A three-dimensional downward leader model incorporating geometric and physical characteristics [J]. Electric Power Systems Research, 2018.
[15]	Eva Majkova, Peter Siffalovic, Karol Vegso, Matej Jergel, Stefan Luby. Advanced optical characterization of nanostructures and nanomaterials in the X-ray range [C]. Shanghai: Progress In Electromagnetic Research Symposium. 2016: 1621-1622.
[16]	Stallard. G. M., The Hausdoff Dimension Julia sets of Hyperbolic meromorphic functions, Ergodic Theory Dynam. Systems, 2003, II. 20 (3): 895-910.
[17]	Huang Gi, Yang Jianhong, ZHANG Rencheng. Feature extraction and experiment of low voltage fault arc images [J]. Low Voltage Apparatus, 2013 (20): 21-23.
[18]	Li Junshan, Ma Yin, Zhao Fangzhou, et al. A novel arithmetic of image edge detection of canny operator [J]. Acta Photonica Sinica, 2011 (S1): 0-54.
[19]	Noskov M D, Malinovski A S. Modelling of partial discharge development in electrical tree channels [J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2003, 10 (3): 425-434.
[20]	Noskov M D, Sack M, Malinovski A S et al. Self-consistent modeling of electrical tree propagation and PD activity [J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2000, 7 (6): 725-733.

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APA Style

Wang Shuai, Yin Zelong, Gu Liang, Shuai Xiaoxiao. (2018). Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal. Journal of Electrical and Electronic Engineering, 6(6), 146-152. https://doi.org/10.11648/j.jeee.20180606.12

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ACS Style

Wang Shuai; Yin Zelong; Gu Liang; Shuai Xiaoxiao. Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal. J. Electr. Electron. Eng. 2018, 6(6), 146-152. doi: 10.11648/j.jeee.20180606.12

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AMA Style

Wang Shuai, Yin Zelong, Gu Liang, Shuai Xiaoxiao. Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal. J Electr Electron Eng. 2018;6(6):146-152. doi: 10.11648/j.jeee.20180606.12

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@article{10.11648/j.jeee.20180606.12,
  author = {Wang Shuai and Yin Zelong and Gu Liang and Shuai Xiaoxiao},
  title = {Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal},
  journal = {Journal of Electrical and Electronic Engineering},
  volume = {6},
  number = {6},
  pages = {146-152},
  doi = {10.11648/j.jeee.20180606.12},
  url = {https://doi.org/10.11648/j.jeee.20180606.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20180606.12},
  abstract = {The damage of arc to gas insulation protection will affect the safe and stable operation of power system seriously in the field of high voltage insulation. Therefore, it is a great theoretical value and practical significance to study the mechanism of gas discharge and find out the law of gas discharge under different conditions for ensuring the safe and stable operation of power system. In order to study the variation law of arc channel complexity under different voltage levels, this paper adopts the discharging experiment of needle-plate electrode, adds different high voltage to the needle-plate electrode under other conditions unchanged, carries out many experiments, and collects five groups of discharging channel plans of needle-plate gap under different voltage. The are discharge channel image in the experiment is restored to the three-dimensional image from the space angle, and the fractal dimension of arc discharge channel under different voltage pressure is calculated by box dimension method of fractal dimension. The results show that the complexity of discharge channel decreases with the increase of voltage level, that is, the lower the voltage level and the larger the fractal dimension.},
 year = {2018}
}

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TY  - JOUR
T1  - Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal
AU  - Wang Shuai
AU  - Yin Zelong
AU  - Gu Liang
AU  - Shuai Xiaoxiao
Y1  - 2018/12/28
PY  - 2018
N1  - https://doi.org/10.11648/j.jeee.20180606.12
DO  - 10.11648/j.jeee.20180606.12
T2  - Journal of Electrical and Electronic Engineering
JF  - Journal of Electrical and Electronic Engineering
JO  - Journal of Electrical and Electronic Engineering
SP  - 146
EP  - 152
PB  - Science Publishing Group
SN  - 2329-1605
UR  - https://doi.org/10.11648/j.jeee.20180606.12
AB  - The damage of arc to gas insulation protection will affect the safe and stable operation of power system seriously in the field of high voltage insulation. Therefore, it is a great theoretical value and practical significance to study the mechanism of gas discharge and find out the law of gas discharge under different conditions for ensuring the safe and stable operation of power system. In order to study the variation law of arc channel complexity under different voltage levels, this paper adopts the discharging experiment of needle-plate electrode, adds different high voltage to the needle-plate electrode under other conditions unchanged, carries out many experiments, and collects five groups of discharging channel plans of needle-plate gap under different voltage. The are discharge channel image in the experiment is restored to the three-dimensional image from the space angle, and the fractal dimension of arc discharge channel under different voltage pressure is calculated by box dimension method of fractal dimension. The results show that the complexity of discharge channel decreases with the increase of voltage level, that is, the lower the voltage level and the larger the fractal dimension.
VL  - 6
IS  - 6
ER  -

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Author Information

Wang Shuai

School of Electrical and Electronic Engineering, Chongqing University of Technology, Chongqing, China
Yin Zelong

School of Electrical and Electronic Engineering, Chongqing University of Technology, Chongqing, China
Gu Liang

School of Electrical and Electronic Engineering, Chongqing University of Technology, Chongqing, China
Shuai Xiaoxiao

School of Electrical and Electronic Engineering, Chongqing University of Technology, Chongqing, China

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Plain Text BibTeX RIS

APA Style

Wang Shuai, Yin Zelong, Gu Liang, Shuai Xiaoxiao. (2018). Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal. Journal of Electrical and Electronic Engineering, 6(6), 146-152. https://doi.org/10.11648/j.jeee.20180606.12

Copy | Download

ACS Style

Wang Shuai; Yin Zelong; Gu Liang; Shuai Xiaoxiao. Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal. J. Electr. Electron. Eng. 2018, 6(6), 146-152. doi: 10.11648/j.jeee.20180606.12

Copy | Download

AMA Style

Wang Shuai, Yin Zelong, Gu Liang, Shuai Xiaoxiao. Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal. J Electr Electron Eng. 2018;6(6):146-152. doi: 10.11648/j.jeee.20180606.12

Copy | Download

@article{10.11648/j.jeee.20180606.12,
  author = {Wang Shuai and Yin Zelong and Gu Liang and Shuai Xiaoxiao},
  title = {Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal},
  journal = {Journal of Electrical and Electronic Engineering},
  volume = {6},
  number = {6},
  pages = {146-152},
  doi = {10.11648/j.jeee.20180606.12},
  url = {https://doi.org/10.11648/j.jeee.20180606.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20180606.12},
  abstract = {The damage of arc to gas insulation protection will affect the safe and stable operation of power system seriously in the field of high voltage insulation. Therefore, it is a great theoretical value and practical significance to study the mechanism of gas discharge and find out the law of gas discharge under different conditions for ensuring the safe and stable operation of power system. In order to study the variation law of arc channel complexity under different voltage levels, this paper adopts the discharging experiment of needle-plate electrode, adds different high voltage to the needle-plate electrode under other conditions unchanged, carries out many experiments, and collects five groups of discharging channel plans of needle-plate gap under different voltage. The are discharge channel image in the experiment is restored to the three-dimensional image from the space angle, and the fractal dimension of arc discharge channel under different voltage pressure is calculated by box dimension method of fractal dimension. The results show that the complexity of discharge channel decreases with the increase of voltage level, that is, the lower the voltage level and the larger the fractal dimension.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Study of the Gap Discharge Phenomenon Based on Three-Dimensional Fractal
AU  - Wang Shuai
AU  - Yin Zelong
AU  - Gu Liang
AU  - Shuai Xiaoxiao
Y1  - 2018/12/28
PY  - 2018
N1  - https://doi.org/10.11648/j.jeee.20180606.12
DO  - 10.11648/j.jeee.20180606.12
T2  - Journal of Electrical and Electronic Engineering
JF  - Journal of Electrical and Electronic Engineering
JO  - Journal of Electrical and Electronic Engineering
SP  - 146
EP  - 152
PB  - Science Publishing Group
SN  - 2329-1605
UR  - https://doi.org/10.11648/j.jeee.20180606.12
AB  - The damage of arc to gas insulation protection will affect the safe and stable operation of power system seriously in the field of high voltage insulation. Therefore, it is a great theoretical value and practical significance to study the mechanism of gas discharge and find out the law of gas discharge under different conditions for ensuring the safe and stable operation of power system. In order to study the variation law of arc channel complexity under different voltage levels, this paper adopts the discharging experiment of needle-plate electrode, adds different high voltage to the needle-plate electrode under other conditions unchanged, carries out many experiments, and collects five groups of discharging channel plans of needle-plate gap under different voltage. The are discharge channel image in the experiment is restored to the three-dimensional image from the space angle, and the fractal dimension of arc discharge channel under different voltage pressure is calculated by box dimension method of fractal dimension. The results show that the complexity of discharge channel decreases with the increase of voltage level, that is, the lower the voltage level and the larger the fractal dimension.
VL  - 6
IS  - 6
ER  -

Copy | Download