Voltage drop

For the calculation, a power factor $cos\varphi$ = 0.9 is assumed. The power factor is the ratio of active power to apparent power. When the waveforms are purely sinusoidal, the power factor is equal to the phase angle $\varphi$ between the current and voltage.

IEC 60364-5-52 in Annex G states that the voltage drop between the origin of an installation and any load point should not be greater than:

Symbol
$V_{drop}$
Unit
V/A/km
Formulae
$1000\sqrt{3} \left(R_c \mathrm{cos}\varphi+X_c sin\left(\arccos\left(\mathrm{cos}\varphi\right)\right)\right)$three-phase system
$2000\left(R_c \mathrm{cos}\varphi+X_c sin\left(\arccos\left(\mathrm{cos}\varphi\right)\right)\right)$single-/two-phase system AC
$2000R_c \mathrm{cos}\varphi$single-/two-phase system DC
Related
$\mathrm{cos}\varphi$
$X_c$