Cableizer
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Mutual reactance between conductors i + j

Definition according to Cigre TB 531 chap. 4.2.3.7

Symbol
$X_{ij}$
Unit
$\Omega$/m
Formulas
$\omega \frac{\mu_0}{2\pi} \ln\left(\frac{D_E}{S_{ab}}\right)$phase 1 — phase 2
$\omega \frac{\mu_0}{2\pi} \ln\left(\frac{D_E}{S_{bc}}\right)$phase 2 — phase 3
$\omega \frac{\mu_0}{2\pi} \ln\left(\frac{D_E}{S_{ac}}\right)$phase 3 — phase 1
Related
$D_E$
Equivalent depth of earth return path [m]
$\mu_0$
Vacuum permeability [H/m]
$\omega$
Angular frequency [rad/s]
$\pi$
Archimedes' constant $\pi$
$S_{ab}$
Distance phases a — b [m]
$S_{ac}$
Distance phases a — c [m]
$S_{bc}$
Distance phases b — c [m]
Used in
$Z_{ij}$
Mutual impedance between cables with earth return [$\Omega$/m]