Research and Developments in Engineering Research Vol. 4

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

  • Daouda Konane
  • W. Serge Boris Ouedraogo
  • Toussaint Tilado Guingane
  • Abdoulaye Zongo
  • Zacharie Koalaga
  • François Zougmoré

Research and Developments in Engineering Research Vol. 4, 30 May 2023 , Page 173-190
https://doi.org/10.9734/bpi/rader/v4/9474F Published: 2023-05-30

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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.

Keywords:
  • Telegraph equation
  • electric network
  • voltage variation
  • electrical transmission lines
  • analytical solution

How to Cite

Konane, D. ., Ouedraogo, W. S. B. ., Guingane, T. T. ., Zongo, A. ., Koalaga , Z. ., & Zougmoré, F. . (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
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