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

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.