The lowest point of a conductor is one specific point, but often the most critical
point of a conductor too, so it deserves to be discussed separately. In leveled spans
it is always located at mid-span, while in inclined spans it moves towards the lower
suspension point of the conductor. It means that the position of the lowest point
of the conductor has to be determined in each inclined span separately. Besides knowing
the configuration of the terrain it is an also important prior condition for precise
planning overhead power lines.
This paper shows in details three entirely different mathematical methods for exact
determination of the position of the lowest point of the conductor in inclined spans
on the basis of known maximal sag of the parabola for chosen temperature. Presented
methods can be used for spans approximately up to 400 metres, since these calculations
are parabola based. In fact the curve of the conductor is catenary, but it is well
known that for spans approximately up to 400 metres the difference between the parabola
and catenary is insignificant, so in that case it is negligible.