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Equivalent diameter of a conductor

This equation somewhat underestimates the equivalent diameter of sector-shaped conductors that are not solid.

An alternative approach for multi-core cables with sector-shaped conductors would be to set the equivalent diameter equal to the nominal diameter of a round conductor with the same cross-sectional area. This would still only be an approximation, since the exact degree of compaction of sector-shaped conductors can vary and depends on manufacture. Also, nominal diameters are currently not available for all cross-sectional areas of conductors.

Symbol
$d_x$
Unit
mm
Formulae
$2\sqrt{\frac{A_c}{\pi}}$round conductors
$2\sqrt{\frac{A_c}{\pi}}+t_i$sector-shaped conductors
Related
$A_c$
Cross-sectional area of conductor [mm$^2$]
$\pi$
Archimedes' constant $\pi$
$t_i$
Thickness of insulation [mm]
Used in
$d_{ct}$
External diameter of conductor for transient calculations [mm]
$G_1$
Geometric factor $G_1$
$r_c$
Radius of conductor [mm]
$r_{isc}$
Radius above the inner semi-conducting layer [mm]
$X_K$
Factor $X_K$
$Y_K$
Factor $Y_K$
$y_p$
Proximity effect factor of conductors