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Temperature of conductor

The temperature of a power cable is the conductor temperature rise above the ambient temperature plus the

Symbol
$\theta_c$
Unit
°C
Formulae
$\theta_a+\Delta \theta_c+\Delta \theta_{sun}$Cables in air, in riser IEC 60287
$\theta_a+\Delta \theta_c-\left(v_4-1\right) \Delta \theta_x+v_4 \Delta \theta_p$Cables buried
$\theta_{de}+\Delta \theta_c$Cables in tunnel
$\theta_a+\Delta \theta_c+\Delta \theta_{0t}$Cables in tunnel (IEC 60287-2-3)
$\theta_t+\Delta \theta_c$Cables in channel (Heinhold)
$\theta_{at}+\Delta \theta_c$Cables in trough
$\theta_a+\Delta \theta_c+\Delta \theta_p$Cables subsea
$\theta_{air}+\Delta \theta_c$Cables in riser
Related
$\Delta \theta_{0t}$
Air temperature in tunnel increase [K]
$\Delta \theta_{0x}$
Temperature rise by crossing heat sources [K]
$\Delta \theta_c$
Temperature rise of conductor [K]
$\Delta \theta_p$
Temperature rise by other buried objects [K]
$\Delta \theta_{sun}$
Temperature rise by solar radiation [K]
$\Delta \theta_x$
Critical soil temperature rise [K]
$\theta_a$
Ambient temperature [°C]
$\theta_{air}$
Ambient air temperature [°C]
$\theta_{at}$
Air temperature under load [°C]
$\theta_{de}$
Temperature of duct outer wall [°C]
$\theta_t$
Temperature of inner tunnel wall [°C]
$v_4$
Ratio thermal resistivity dry/moist soil
Used in
$\delta \theta_c$
Ohmic steady-state temperature rise [K]
$\Delta \theta_{ce}$
Temperature difference, conductor to surface [K]
$\Delta \theta_{gas}$
Temperature difference, conductor to enclosure [°C]
$\Delta w_d$
Increment of volumetric density of dielectric losses in HVDC cables [W/m$^3$]
$\mathrm{Gr}_c$
Grashof number, conductor to gas
$h_{rad,ce}$
Radiation heat transfer coefficient, conductor to enclosure [W/(K.m$^2$)]
$I_c$
Conductor current [A]
$k_l$
Temperature rise factor in air
$k_t$
Temperature rise ratio [p.u.]
$R_{cDC}$
Electrical DC resistance of conductor [$\Omega$/m]
$T_1$
Thermal resistance between one conductor and sheath [K.m/W]
$T_{rad,ce}$
Radiation thermal resistance, conductor to enclosure [K.m/W]
$\theta_{ar}$
Temperature of armour [°C]
$\theta_{cs}$
Temperature over conductor screen [°C]
$\theta_e$
External temperature of the object [°C]
$\theta_f$
Temperature of filler for multi-core cables type SS with sheath [°C]
$\theta_{film}$
Film temperature [°C]
$\theta_{gas}$
Gas temperature [°C]
$\theta_i$
Temperature of insulation [°C]
$\theta_s$
Temperature of screen/sheath [°C]
$\theta_{sc}$
Temperature of screen [°C]
$\theta_{sh}$
Temperature of sheath [°C]
$\theta_{sp}$
Temperature of steel pipe [°C]
$W_{conv,ce}$
Convection heat transfer, conductor to enclosure [W/m]
$W_{rad,ce}$
Radiation heat transfer, conductor to enclosure [W/m]