Sag and tension of transmission and distribution line |
The energized conductors of transmission and distribution lines must be placed to totally eliminate the possibility of injury to people.
Overhead
conductors, however, elongate with time, temperature, and tension,
thereby changing their original positions after installation. Despite
the effects of weather and loading on a line, the conductors must remain
at safe distances from buildings, objects, and people or vehicles
passing beneath the line at all times.
To ensure this safety, the
shape of the terrain along the right-of-way, the height and lateral
position of the conductor support points, and the position of the
conductor between support points under all wind, ice, and temperature
conditions must be known.
Bare overhead transmission
or distribution conductors are typically quite flexible and uniform in
weight along their length. Because of these characteristics, they take
the form of a catenary (Ehrenberg, 1935; Winkelmann, 1959) between
support points. The shape of the catenary changes with conductor
temperature, ice and wind loading, and time. To ensure adequate vertical
and horizontal clearance under all weather and electrical loadings, and
to ensure that the breaking strength of the conductor is not exceeded,
the behavior of the conductor catenary under all conditions must be
known before the line is designed.
The future behavior of the conductor is determined through calculations commonly referred to as sag-tension calculations.
Sag-tension
calculations predict the behavior of conductors based on recommended
tension limits under varying loading conditions. These tension limits
specify certain percentages of the conductor’s rated breaking strength
that are not to be exceeded upon installation or during the life of the
line.
These conditions, along with the elastic
and permanent elongation properties of the conductor, provide the basis
for determinating the amount of resulting sag during installation and
long-term operation of the line. Accurately determined initial sag
limits are essential in the line design process. Final sags and tensions
depend on initial installed sags and tensions and on proper handling
during installation.
The final sag shape of conductors
is used to select support point heights and span lengths so that the
minimum clearances will be maintained over the life of the line. If the
conductor is damaged or the initial sags are incorrect, the line
clearances may be violated or the conductor may break during heavy ice
or wind loadings.
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