MODULE 4 — Underground Cables

4.1 Cable vs Overhead Line

Feature Overhead (OHL) Cable (UGC)
Cost Low (Base) High (3x to 10x)
Capacitance Low Very High (20-40x)
Inductance High Low
Fault Location Easy (Visual) Difficult
Safety Moderate High
Charging Current Low High (Limits distance)

4.2 Cable Construction & Dielectric Stress

Dielectric Stress ($E$)

$$ E_{max} = \frac{V}{r_1 \ln(r_2/r_1)} \quad \text{(at core)} $$

Optimum Radius

$$ r_{1opt} = \frac{r_2}{e} \approx 0.368 r_2 $$
Core Insulation Lead Sheath Armour
Emax occurs at the surface of the conductor. Emin occurs at the inner surface of the lead sheath.

4.4 Cable Current Rating & Derating

Current Rating

$$ I = \sqrt{\frac{\Delta\theta}{n R_T^{(ac)} + \text{losses}}} $$

Overall Derated Current

$$ I_{rated} = I_{base} \times k_1 \times k_2 \times k_3 \times k_4 $$
Derating Factors (Toggle to apply adverse conditions):
1000A
Base Rating: 1000A
Adjusted Capacity