TITLE:
An Exact Solution of Telegraph Equations for Voltage Monitoring of Electrical Transmission Line
AUTHORS:
Daouda Konane, Wend Yam Serge Boris Ouedraogo, Toussaint Tilado Guingane, Abdoulaye Zongo, Zacharie Koalaga, François Zougmoré
KEYWORDS:
Telegraph Equation, Electric Network, Voltage Variation, Electrical Transmission Lines, Analytical Solution
JOURNAL NAME:
Energy and Power Engineering,
Vol.14 No.11,
November
21,
2022
ABSTRACT: 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.