An Exact Solution of the Telegraphy Equations for Tracking the Electrical Signal in an Electrical Transmission Network

Authors

  • Daouda Konane Materials and Environment Laboratory (LAME), Joseph KI-ZERBO University, Ouagadougou, Burkina Faso.
  • W. Serge Boris Ouedraogo Materials and Environment Laboratory (LAME), Joseph KI-ZERBO University, Ouagadougou, Burkina Faso.
  • Toussaint Tilado Guingane Materials and Environment Laboratory (LAME), Thomas SANKARA University, Ouagadougou, Burkina Faso.
  • Abdoulaye Zongo Direction de la Distribution, Société Nationale de l’Electricité du Burkina (SONABEL), Burkina Faso and Laboratoire de Recherche en Énergétique et Météorologie de l’Espace (LAREME), Université Norbert ZONGO, Koudougou, Burkina Faso.
  • Zacharie Koalaga Materials and Environment Laboratory (LAME), Joseph KI-ZERBO University, Ouagadougou, Burkina Faso.
  • François Zougmoré Materials and Environment Laboratory (LAME), Joseph KI-ZERBO University, Ouagadougou, Burkina Faso.

DOI:

https://doi.org/10.9734/bpi/rader/v4/9474F

Keywords:

Telegraph equation, electric network, voltage variation, electrical transmission lines, analytical solution

Abstract

The solution of telegraphy equations requires the techniques of substitutions of differential equations. By adopting a general sinusoidal form of the solution allowing us to reduce them to second-order differential equations without a second member, we propose a new exact solution to the telegraph equations.  Simulations considering the standards of a Medium Voltage Cable NF C 33 220 of 12/20(24)kV allow to follow the variation of the current and the voltage in the electrical equipment as a function of time at each point of the line. Indeed, the different curves obtained correspond better to the real voltage curves observed in the electrical networks in service.

Published

2023-05-30

How to Cite

Daouda Konane, W. Serge Boris Ouedraogo, Toussaint Tilado Guingane, Abdoulaye Zongo, Zacharie Koalaga, & François Zougmoré. (2023). An Exact Solution of the Telegraphy Equations for Tracking the Electrical Signal in an Electrical Transmission Network. Research and Developments in Engineering Research Vol. 4, 173–190. https://doi.org/10.9734/bpi/rader/v4/9474F

Issue

Research and Developments in Engineering Research Vol. 4

Section

Chapters