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Positive sequence reactance

Definition according to publication 'Fundamentals of calculation of earth potential rise in the underground power distribution cable network' (Parsoatam1997)

Symbol
$X_1$
Unit
$\Omega$/m
Formulae
$\omega \frac{\mu_0}{2\pi} \ln\left(\frac{GMD}{GMR_c}\right)$general case
$1.15\omega \frac{\mu_0}{2\pi} \ln\left(\frac{S_{sp}}{GMR_{sp}}\right)$pipe-type cables
Related
$GMD$
Geometric mean distance between phases of the same system [m]
$GMR_c$
Geometric mean radius of conductor [m]
$GMR_{sp}$
Geometric mean radius of steel pipe [m]
$\mu_0$
Vacuum permeability [H/m]
$\omega$
Angular frequency [rad/s]
$\pi$
Archimedes' constant $\pi$
$S_{sp}$
Mean distance between the phases, pipe-type cables [$\Omega$/m]
Used in
$Z_1$
Positive sequence impedance [$\Omega$/m]