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Conductor temperature at z

Conductor temperature at the point z in the cable route in the tunnel.

Symbol
$\theta_{c,z}$
Unit
°C
Formulae
$\theta_{o,z}+W_c \left(T_1+n_{ph} \left(1+\lambda_1\right) T_2+n_{ph} \left(1+\lambda_1+\lambda_2+\lambda_3\right) T_3\right)+W_d \left(\frac{T_1}{2}+n_{ph} \left(T_2+T_3\right)\right)$Cables
$\theta_{o,z}+W_c \left(T_1+n_c \left(1+\lambda_1\right) T_{prot}\right)$PAC/GIL
$\theta_{o,z}+W_{hs} T_{hs}$Heat sources
Related
$\lambda_1$
Loss factor of shield (screen and sheath)
$\lambda_2$
Loss factor of armour
$\lambda_3$
Loss factor of steel pipes for pipe-type cables
$n_c$
Number of conductors in object
$n_{ph}$
Number of phases in a cable
$T_1$
Thermal resistance between one conductor and sheath [K.m/W]
$T_2$
Thermal resistance of armour bedding [K.m/W]
$T_3$
Thermal resistance of jacket [K.m/W]
$T_{hs}$
Thermal resistance of heat source [K.m/W]
$T_{prot}$
Thermal resistance of protective cover [K.m/W]
$\theta_{o,z}$
Temperature of the surface of object at z [°C]
$W_c$
Conductor losses [W/m]
$W_d$
Dielectric losses [W/m]
$W_{hs}$
Heat dissipation of heat source [W/m]