An Investigation On Modelling And Simulation Of Real Lightning Strikes

Hilal Sen*, Cengiz Polat Uzunoglu**, Aysel Ersoy Yilmaz***
*-***Department of Electrical & Electronics Engineering, Faculty of Engineering, Istanbul University-Cerrahpasa, Istanbul, Turkey.
Periodicity:April - June'2019
DOI : https://doi.org/10.26634/jee.12.4.15833

Abstract

Lightning strikes have great importance in balancing electron distributions of our earth. In this study, it is aimed to model lightning strikes which occur in nature by using two-dimensional investigation. For this purpose, firstly, lightning is simulated in computer environment by using finite element method at different matrix sizes. In the next step a fractal analysis method is used to determine the similarity of the model to the actual lightning. In order to simulate and predict possible pattern of a real lightning the lightning paths investigated and nature of the strike is simulated. According to the simulation results, the fractal dimension averages of the shapes are obtained as 1.32 by using the MATLAB program. On the other hand, real lightning images are processed and average fractal dimension is calculated as 1.23. This results have verified that simulation results and real images results are very close in terms of fractal dimensions. Accordingly, the fractal irregularity of the simulated shapes is slightly more than the actual lightning.

Keywords

Finite Difference Method, Lightning Strike, Fractal Dimension.

How to Cite this Article?

Sen , H., Uzunoglu, C., P., & Yilmaz, A., E. (2019). An Investigation On Modelling And Simulation Of Real Lightning Strikes. i-manager’s Journal on Electrical Engineering, 12(4), 1-9. https://doi.org/10.26634/jee.12.4.15833

References

[1]. Ahmed, H. S., Ali, J. K., Salim, A. J., & Hussain, N. N. (2016, April). A compact triple band BSF design based on minkowski fractal geometry. In 2016 18th Mediterranean Electrotechnical Conference (MELECON) (pp. 1-5). IEEE. https://doi.org/10.1109/melcon.2016.7495453
[2]. Agarwal, P., & El-Sayed, A. A. (2018). Non-standard finite difference and chebyshev collocation methods for solving fractional diffusion equation. Physica A: Statistical Mechanics and Its Applications, 500, 40-49. https://doi.org/ 10.1016/j.physa.2018.02.014
[3]. Aggarwal, S., Singh, D. P., Asthana, N., & Gupta, A. R. (2018). Application of elzakitrans form for solving population growth and decay problems. Journal of Emerging Technologies and Innovative Research, 5(9), 281-284.
[4]. Aplin, K. L. (2018). Atmospheric electricity at Durham: the scientific contributions and legacy of JA (“Skip”) Chalmers (1904-1967). History of Geo- and Space Sciences, 9(1), 25-35. https://doi.org/10.5194/hgss-9-25- 2018
[5]. Atıcı, R., Güzel, E., & Sağır, S. (2018). Lower ionospheric electron density changes following lightning discharges. Acta Geophysica, 66(4), 731-738.
[6]. Baranov, M. I., & Rudakov, S. V. (2018). Electro thermalaction of the pulse of the current of a short artificiallightning stroke on test specimens of wires and cables of electric power objects. Journal of Engineering Physics and Thermophysics, 91(2), 544-555. https://doi.org/10.1007/ s10891-018-1775-2
[7]. Boiangiu, C., Morosan, A. G., & Stan, M. (2016). A fractal world: Building visually-rich and fully-realistic natural environments. International Journal of Mathematics and Computers in Simulation, 10, 100-111.
[8]. Burman, E., Elfverson, D., Hansbo, P., Larson, M. G., & Larsson, K. (2018). Shape optimization using the cut finite element method. Computer Methods in Applied Mechanics and Engineering, 328, 242-261.
[9]. Butcher, J. C. (2016). Numerical methods for ordinary differential equations. John Wiley & Sons.
[10]. Cannon, J. W. (2017). Non-Euclidean Geometry and Curvature: Two-Dimensional Spaces, (Vol. 3). American Mathematical Society.
[11]. Christopoulos, C. (1997). Modelling of lightning and its interaction with structures. Engineering Science & Education Journal, 6(4), 149-154. https://doi.org/ 10.1049/esej:19970402
[12]. Ghafouri, A., Amini, J., Dehmollaian, M., & Kavoosi, M. A. (2017). Measuring the surface roughness of geological rock sur faces in SAR data using fractalgeometry. Comptes Rendus Geo science, 349(3), 114-125. https://doi.org/10.1016/j.crte.2017.04.003
[13]. Gu, Y., Hua, Q., Zhang, C., & He, X. (2019). The generalized finite difference method for long-time transient heat conduction in 3D anisotropic composite materials. Applied Mathematical Modelling, 71, 316-330. https://doi.org/10.1016/j.apm.2019.02.023
[14]. Haris, H. C. M., Rahman, N. F. A., & Salim, N. A. (2018). Selection of suitable features of lightning rods for secure lightning protection. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 10(1-9), 43- 47.
[15]. Kara, A., Kalenderli, O., & Mardikyan, K. (2017). Modeling and analyzing barrier effect on AC breakdown strength of non-uniform air gaps. IEEE Transactions on Dielectrics and Electrical Insulation, 24(6), 3416-3424. https://doi.org/10.1109/TDEI.2017.006510
[16]. Katunin, A., Krukiewicz, K., Turczyn, R., Sul, P., Łasica, A., & Bilewicz, M. (2017). Synthesis and characterization of the electrically conductive polymeric composite for lightning strike protection of aircraft structures. Composite Structures, 159, 773-783. https://doi.org/10.1016/j. compstruct.2016.10.028
[17]. Kim, T., Sewall, J., Sud, A., & Lin, M. C. (2007). Fast simulation of laplacian growth. IEEE Computer Graphics and Applications, 27(2), 68-76. https://doi.org/10.11 09/MCG.2007.33
[18]. Le Méhauté, A., Gerspacher, M., & Tricot, C. (2018). Fractal geometry. In Carbon Black (pp. 245-270). Routledge.
[19]. Niu, Z., Jiao, L., Chen, S., Yan, P., & Wang, X. (2018). Surface quality evaluation in orthogonal turn-milling based on box-counting method for image fractal dimension estimation. Nano manufacturing and Metrology, 1(2), 125- 130.
[20]. Price, C. (2018). Lightning. In Exploring Natural Hazards (pp. 299-316). Chapman and Hall/CRC.
[21]. Reuven Y., Rubinstein, & Dirk P. Kroese (2016). Simulation and the Monte Carlo method. John Wiley & Sons. https://doi.org/10.1002/9781118631980
[22]. Shahri, H. R. F., Mahdavinejad, R., Ashjaee, M., & Abdullah, A. (2017). A comparative investigation on temperature distribution in electric discharge machining process through analytical, numerical and experimental methods. International Journal of Machine Tools and Manufacture, 114, 35-53. https://doi.org/10.1016/j.ij machtools.2016.12.005
[23]. Stynes, M., O'Riordan, E., & Gracia, J. L. (2017). Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation. SIAM Journal on Numerical Analysis, 55(2), 1057-1079. https://doi.org/10. 1137/16M1082329
[24]. Tomazella, V. L. D., & Nadarajah, S. (2015). Estimation of parameters in Laplace distributions with interval censored data. Brazilian Journal of Probability and Statistics, 29(3), 677-694. https://doi.org/10.1214/14- BJPS239
[25]. Turner, A. (2019). From Lichen to Lightning: Understanding Random Growth. Newsletter of the London Mathematical Society, (482), 14-19.
[26]. Xie, Z. Y., Zhai, M. Y., & Liu, X. F. (2017, March). Research on fractal characteristics of broadband power line communication signal. In 2017 International Conference on Wireless Communications, Signal Processing and Networking (WiSPNET)(pp. 373-378). IEEE. https://doi.org/10.1109/WiSPNET.2017.8299781
[27]. Uzunoglu, C. P. (2017). Continuous over voltage Characteristics of surge protected power strips. imanager's Journal on Circuits & Systems, 5(4), 1-7. https://doi.org/10.26634/jcir.5.4.13938
[28]. Uzunoglu, C. P., Ugur M., & Kuntman, A. (2008). Simulation of chaotic surface tracking on the polymeric insulators with brownian motion. Istanbul University-Journal of Electrical & Electronics Engineering, 8(1), 585-592.
[29]. Wang, Z., & Geng, Y. (2018). Study of electric field distorted by space charges under positive lightning impulse voltage. Results in physics, 8, 955-962.
[30]. Zhang, A. M., & Liu, Y. L. (2015). Improved threedimensional bubble dynamics model based on boundary element method. Journal of Computational Physics, 294, 208-223. https://doi.org/10.1016/j.jcp.2015.03.049
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Online 15 15

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.