Licchavi Lyceum

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Licchavi Lyceum

Sag in Transmission Line

Sag is the vertical distance between the lowest point of a conductor and the straight line joining the supports.

Sag in Transmission Line

Shape of Conductor

  • Actual shape: Catenary
  • Approximation: Parabola

Sag Equation

\[
S = \frac{wL^2}{8T}
\]

  • \(S\): Sag
  • \(w\): Weight per unit length
  • \(L\): Span length
  • \(T\): Tension

Unequal Supports

  • Sag becomes unequal
  • Lowest point shifts toward lower support

Factors Affecting Sag

  • Higher weight increases sag
  • Sag ∝ \(L^2\)
  • Higher tension reduces sag
  • Higher temperature increases sag
  • Increase effective weight

Importance

  • Maintains ground clearance
  • Ensures mechanical safety
  • Prevents accidents

Sag vs Tension

  • Low sag → high tension
  • High sag → low tension

Span Types

  • Level span: symmetrical sag
  • Unequal span: asymmetrical sag

Important Points

\[
S = \frac{wL^2}{8T}
\]

  • Sag increases with weight, span, temperature
  • Sag decreases with tension
  • Curve: catenary (actual), parabola (approx.)

Conclusion

Sag is essential for safe and efficient transmission line design, balancing ground clearance and mechanical stress.