Induced Voltages

Load Induced \(U_i\) (V) Fault Induced \(U_i\) (V) $$ U_i = X_M \times I \times L$$
\( d_M = 2 \times \sqrt{CSA \over \pi}\)
Wire Factor \(K\)
Inductive Reactance \(X_M\) (mΩ/km) $$ X_M = ω \times L_M $$ Core Inductance \(L_M\) (mH/km) $$ L_M = K + 0.2 \times \ln \left( {2S \over d_M} \right) $$
\(S\) is the axial spacing between the cable core and sheath.
\(d_M\) is the mean sheath diameter and can be calculated using the cross section area \(CSA\) of the sheath.

Maximum Safe Distance

Load Distance (km)
Fault Distance (km)
$$ L_{max} = {U_i \over X_M \times I} $$