Author(s)

Daouda Konane¹, Wend Yam Serge Boris Ouedraogo¹, Toussaint Tilado Guingane¹, Abdoulaye Zongo^2,3, Zacharie Koalaga¹, François Zougmoré¹

¹Laboratoire de Matériauxet Environnement (LAME), Université Joseph KI-ZERBO, Ouagadougou, Burkina Faso.
²Direction de la Distribution, Société Nationale de l’Electricité du Burkina (SONABEL), Ouagadougou, Burkina Faso.

Telegraph equations are derived from the equations of transmission line theory. They describe the relationships between the currents and voltages on a portion of an electric line as a function of the linear constants of the conductor (resistance, conductance, inductance, capacitance). Their resolution makes it possible to determine the variation of the current and the voltage as a function of time at each point of the line. By adopting a general sinusoidal form, we propose a new exact solution to the telegraphers’ partial differential equations. Different simulations have been carried out considering the parameter of the 12/20 (24) kV Medium Voltage Cable NF C 33,220. The curves of the obtained solution better fit the real voltage curves observed in the electrical networks in operation.

Telegraph Equation, Electric Network, Voltage Variation, Electrical Transmission Lines, Analytical Solution

Konane, D. , Ouedraogo, W. , Guingane, T. , Zongo, A. , Koalaga, Z. and Zougmoré, F. (2022) An Exact Solution of Telegraph Equations for Voltage Monitoring of Electrical Transmission Line. Energy and Power Engineering, 14, 669-679. doi: 10.4236/epe.2022.1411036.