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,
30 May 2023
,
Page 173-190
https://doi.org/10.9734/bpi/rader/v4/9474F
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.
- Telegraph equation
- electric network
- voltage variation
- electrical transmission lines
- analytical solution