(IEC 60364-5-52): Base cable 120 mm² Cu XLPE → 380 A in free air. Derate: (k_amb = 0.87), (k_group = 0.8) → (380 \times 0.87 \times 0.8 = 264 A) → too low. Try 185 mm² → base 500 A → derated = (500 \times 0.696 = 348 A) — acceptable.
[ S = \fracI_sc \cdot \sqrttk ]
[ F_harmonic = \frac1\sqrt1 + \sum_h=3,5,7... \left(\fracI_hI_1\right)^2 \cdot h^0.5 ] | Standard | Approach | Key Features | |----------|----------|---------------| | NEC (USA) | Table-based | Ampacity tables, 60/75/90°C columns, adjustment factors | | IEC 60287 | Calculation | Explicit thermal resistance model (Rth), for complex installations | | BS 7671 | Mixed | Simplified tables + voltage drop formula | | IEEE 835 | Calculation | For large power cables, includes soil drying effects | cable calc formula
[ S = \fracI \cdot \sqrtt\kappa \quad \text(adiabatic) ]
[ I_sc^2 \cdot t = \kappa^2 \cdot S^2 \cdot \ln\left(\frac\theta_f + \beta\theta_i + \beta\right) ] (IEC 60364-5-52): Base cable 120 mm² Cu XLPE
: [ S_min = \frac25,000 \cdot \sqrt0.2143 \approx \frac25,000 \cdot 0.447143 \approx 78 , mm^2 ] 185 mm² >> 78 mm² — thermal withstand OK.
[ V_d = 2 \cdot I \cdot L \cdot (R \cos\phi + X \sin\phi) \quad \text(single-phase) ] [ S = \fracI_sc \cdot \sqrttk ] [
[ \boxedS = \max\left( S_ampacity, S_V_d, S_short-circuit \right) ]