Aeolian vibrations of the overhead cables

Wind induced vibrations (Aeolian vibrations) of overhead transmission lines and resulting conductors fatigue breakages constitute a problem for utility companies in maintaining uninterrupted supply of electrical energy. The aim is the study of Aeolian vibrations of overhead transmission lines conductors. The fractures caused by the wind vibrations often appear in front of the points of attachment, and with the junctions of the conductors. To this end one tried to give a mathematical model of the forces acting on the cables, as well as a mathematical model of the cable. This model permits to have curves of the amplitude according to the speed of the wind and the frequency. A simplified analysis of the partial differential equation describing these vibrations is presented using the concept of characteristic length as a single quantity describing the mechanical properties of a conductor.