IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/8501420.html
   My bibliography  Save this article

Analytical Solution for the Transient Current Induced along the Vertical Grounding Electrode

Author

Listed:
  • Ante Soldo
  • Silvestar Å esnić
  • Fahd Jarad

Abstract

The paper deals with the analysis of the Pocklington integro-differential equation in the time domain and its analytical solution for the transient current induced along the vertical grounding electrode and, as such, represents a continuation of the research pertaining to the horizontal grounding electrode previously reported by one of the authors. The electrode is excited by a current source impressed at one end of the electrode, representing the model of the lightning strike current. A novel analytical solution is derived using the Laplace transform. Results obtained with this time domain solution are compared with the results obtained via analytical solution of the corresponding Pocklington equation in the frequency domain in conjunction with inverse fast Fourier transform (IFFT). The results obtained via different methods are shown to be in a very good agreement. The results of the time domain analytical solution for the vertical electrode are also compared with the results of the time domain analytical solution for the horizontal electrode, where greater influence of earth-air interface on an induced current is observed. These procedures can be implemented as benchmarking techniques as well as tools for rapid estimation of the observed phenomena.

Suggested Citation

  • Ante Soldo & Silvestar Å esnić & Fahd Jarad, 2022. "Analytical Solution for the Transient Current Induced along the Vertical Grounding Electrode," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-11, March.
    • Handle: RePEc:hin:jnlmpe:8501420
    DOI: 10.1155/2022/8501420
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/mpe/2022/8501420.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/mpe/2022/8501420.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/8501420?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlmpe:8501420. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.