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An Application of Fractal-Based Lightning for SFR Calculation of High Voltage Substations


  • Department of Electrical Engineering, Amirkabir University of Technology, Tehran, 1591634311, Iran


Objectives: To simulate the lightning more close to reality and investigate the performance of the lightning protection system of high voltage substation. Methods/Statistical Analysis: The method which is used for the system analysis is a new fractal-based model of simulated lightning by which the zigzag movement of lightning downward leader as well as branching nature is simulated. A new charge distribution is proposed for branched lightning channel. In addition, the branch fading during the lightning downward movement is also simulated in order to simulate the lightning more close to the reality. Findings: The results of the simulated lightning using the proposed method show that the proposed fractal method simulates the lightning close to the reality. The striking distances of a transmission line structure for different lightning return stroke currents are obtained by the proposed method and compared to those of Electrogeometric Model (EGM) and Leader Progression Model (LPM). The results show that how the proposed method obtains a wide range of possible results statistically. The lightning shielding system performance of a practical high voltage substation is investigated based on the proposed model in two different scenarios by which the effect of substation instruments on the lightning protection system is investigated. The results reveal that the presence of the substation instruments completely affects the shielding system performance. Using the propose method, the random behavior of the lightning is well modeled and the shielding failure of the protection system is investigated in a statistical manner. The obtained results are compared to those of EGM, and LPM. The results are discussed and superiority of the proposed simulated lightning model is concluded. Application/ Improvements: The proposed method simulates the different features of the lightning including 1- branching nature, 2- zigzag movement, 3- random behavior, 4- branch fading, 5- branched charge distribution.


Fractal Concept, High Voltage Substation, Lightning, Shielding Failure.

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  • Taniguchi S, Tsuboi T, Okabe S. Observation results of lightning shielding for large-scale transmission lines. IEEE Transactions on Dielectrics and Electrical Insulation.2009;16(2):552-9. Crossref.
  • He J, Wang X, Yu Z, Zeng R. Statistical Analysis on Lightning Performance of Transmission Lines in Several Regions of China. IEEE Transactions on Power Delivery.2015; 30(3):1543-51. Crossref.
  • Bakar AHA, Tan CK, Abidin AZ, Khai PJ, Mokhlis H, Illias HA. Comparative Study on Substation Shielding Due to Direct Lightning Strokes. Journal of Power and Energy Engineering. 2014; 02(04):600-11. Crossref.
  • Rizk FAM. Modeling of substation shielding against direct lightning strikes. IEEE Transactions on Electromagnetic Compatibility. 2010; 52(3):664-75. Crossref.
  • Wagner CF, McCann GD, Lear CM. Shielding of substations.Electrical Engineering. 1942; 61(2):96-9. Crossref.
  • Young FS, Clayton JM, Hileman AR. Shielding of transmission lines. IEEE Transactions on Power Apparatus and Systems. 1963; 83:132.
  • Brown GW, Whitehead ER. Field and analytical studies of transmission line shielding: Part. IEEE Transactions on Power Apparatus and Systems. 1969; (5):617-26.
  • Mousa AM, Srivastava KD. Effect of shielding by trees on the frequency of lightning strokes to power lines.IEEE Transactions on Power Delivery. 1988; 3(2):724-32.Crossref.
  • Paolone M, Rachidi-Haeri F, Nucci CA. IEEE Guide for Improving the Lightning Performance of Electric Power Overhead Distribution Lines. IEEE. 2011.
  • Eriksson AJ. An improved electrogeometric model for transmission line shielding analysis. IEEE Transactions on Power Delivery. 1987; 2(3):871-86. Crossref.
  • Tavakoli MRB, Vahidi B. Transmission-lines shielding failure-rate calculation by means of 3-D leader progression models. IEEE Transactions on Power Delivery. 2011; 26(2):507-16. Crossref.
  • Dong L, He J, Zeng R. A statistical view for fractal simulation of lightning. IEEE, 2010 Asia-Pacific International Symposium on Electromagnetic Compatibility. 2010; p.1227-30. Crossref.
  • Hileman AR. New York: CRC Press: Insulation Coordination for Power Systems. 1999. Crossref.
  • Petrov NI, Petrova GN, D’Alessandro F. Quantification of the probability of lightning strikes to structures using a fractal approach. IEEE Transactions on Dielectrics and Electrical Insulation. 2003; 10(4):641-54. Crossref.
  • Femia N, Niemeyer L, Tucci V. Fractal characteristics of electrical discharges: experiments and simulation. Journal of Physics D: Applied Physics. 1993; 26(4):619. Crossref.
  • Pietronero L, Wiesmann HJ. Stochastic model for dielectric breakdown. Journal of Statistical Physics. 1984; 36(5):90916. Crossref.
  • Wiesmann HJ, Zeller HR. A fractal model of dielectric breakdown and prebreakdown in solid dielectrics. Journal of Applied Physics. 1986; 60(5):1770-3. Crossref.
  • Barclay AL, Sweeney PJ, Dissado LA, Stevens GC. Stochastic modelling of electrical treeing: fractal and statistical characteristics.Journal of Physics D: Applied Physics. 1990;23(12):1536. Crossref.
  • Tsonis AA, Elsner JB. Fractal characterization and simulation of lightning. Beitrage zur Physik der Atmosphare.1987; 60:187-92.
  • Li J, Yang Q, Sima W, Sun C, Yuan T, Zahn M. A new estimation model of the lightning shielding performanceof transmission lines using a fractal approach. IEEE Transactions on Dielectrics and Electrical Insulation. 2011; 18(5). Crossref.
  • Cooray V, Rakov V, Theethayi N. The lightning striking distance-Revisited. Journal of Electrostatics. 2007; 65(5):296-306. Crossref.
  • Shi W, Li Q, Zhang L. A stepped leader model for lightning including charge distribution in branched channels.Journal of Applied Physics. 2014; 116(10):103303. Crossref.
  • Mandelbrot BB. San Francisco, US: W. H. Freeman and Co.: The Fractal Geometry of Nature,1st edition. 1982.
  • Petrov NI, Waters RT. Determination of the striking distance of lightning to earthed structures. The Royal Society: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 1995; 450:589-601. Crossref.
  • Berger K. Novel observations on lightning discharges: Results of research on Mount San Salvatore. Journal of The Franklin Institute. 1967; 283(6):478-525. Crossref.
  • Becerra M, Cooray V. A simplified physical model to determine the lightning upward connecting leader inception.IEEE Transactions on Power Delivery. 2006; 21(2):897-908. Crossref.
  • Kawasaki Z, Matsuura K. Does a lightning channel show a fractal? Applied Energy. 2000; 67(1):147-58. Crossref.
  • Mikropoulos PN, Tsovilis TE. Lightning attachment models and maximum shielding failure current of overhead transmission lines: Implications in insulation coordination of substations. IET Generation, Transmission and Distribution. 2010; 4(12):1299-313. Crossref.
  • Rahiminejad A, Vahidi B. LPM-Based Shielding performance Analysis of High-Voltage Substations against Direct Lightning Strokes. IEEE Transactions on Power Delivery.2016. Crossref.
  • Mehrdad Abedi, Behrooz Vahidi FR. Iran Isokeraunic level and its application on transmission line performance.Tehran: The Third Power System Conference (PSC). 1988.


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