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Factor $\alpha_p$

Factor $\alpha_p$ for the calculation of the factor $p_1$ used to calculate the geometric factor for multi-core cables with round conductors.

Symbol
$\alpha_p$
Formulae
$\frac{1}{\left(1+\frac{X_G}{1+\frac{X_G}{1+Y_G}}\right)^2}$Two-core cables, IEC 60287-2-1
$\frac{1}{\left(1+\frac{2X_G}{1+\frac{2}{\sqrt{3}} \left(1+\frac{2X_G}{1+Y_G}\right)}\right)^3}$Three-core cables, IEC 60287-2-1
$\frac{\left(c_c+r_c\right)^{n_c}}{\left(c_c+r_c+t_i+t_f\right)^{n_c}}$Multi-core cables, Mie1905
Related
$c_c$
Distance between the axis of a conductor and the cable center [mm]
$n_c$
Number of conductors in object
$r_c$
Radius of conductor [mm]
$t_f$
Thickness of filler/belt insulation [mm]
$t_i$
Thickness of insulation [mm]
$X_G$
Factor $X_G$
$Y_G$
Factor $Y_G$
Used in
$\beta_p$
Factor $\beta_p$
$C_{Mie}$
Factor $C$ (Mie1905)
$p_{Mie}$
Factor $p$ (Mie1905)