A Novel Parabolic Equation of the Conductor Curve in an Inclined Span Based on a Known x–coordinate of the Low Point of the Conductor

In the frame of the parabola-based sag-tension calculation for overhead line design, the necessary data for the derivation of the equation of the conductor curve in a span are the maximum sag, the coordinates of the support points and the span length. Naturally, the conductor sag changes with the temperature and so does the conductor curve. Thus, for different conductor temperatures, the equation of the conductor curve is also different. Oppositely to the common method for the derivation of the equation of the parabolic conductor curve using the maximum sag as the main input datum, this paper shows how the latter can be substituted by the x-coordinate of the low point of the conductor when it is a known or defined datum. The presented method is developed especially for the application in the case of already built i.e. existing overhead lines. The novel equation of the parabolic conductor curve is usable in inclined spans, while in level spans it is not. It is appropriately presented through a suitable numerical example.