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Temperature conductor

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

Symbol
$\theta_{c}$
Unit
°C
Formulas
$\theta_{a}+\Delta \theta_{c}+\Delta \theta_{sun}$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/in pipe (air-filled)
$\theta_{a}+\Delta \theta_{c}+\Delta \theta_{p}$Cables subsea
$\theta_{air}+\Delta \theta_{c}$Cables in riser (iterative)
Related
$\Delta \theta_{0t}$
Air temperature increase [K]
$\Delta \theta_{0x}$
Temperature rise by crossing heat sources [K]
$\Delta \theta_{c}$
Temperature rise conductor [K]
$\Delta \theta_{p}$
Temperature rise by other buried objects [K]
$\Delta \theta_{sun}$
Temperature difference 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 with load [°C]
$\theta_{de}$
Temperature duct outer surface [°C]
$\theta_{t}$
Temperature wall (inner) [°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—surface [K]
$\Delta \theta_{gas}$
Temperature difference conductor—enclosure [°C]
$\Delta w_{d}$
Increment of volumetric density of dielectric losses in HVDC cables [W/m$^3$]
$\mathrm{Gr}_c$
Grashof number conductor→gas
$h_{rad,ce}$
Heat transfer coefficient radiation conductor—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 resistance DC conductor [$\Omega$/m]
$T_{1}$
Thermal resistance conductor—sheath [K.m/W]
$T_{rad,ce}$
Thermal resistance radiation conductor—enclosure [K.m/W]
$\theta_{ar}$
Temperature armour [°C]
$\theta_{cs}$
Temperature conductor shield [°C]
$\theta_{e}$
External temperature object [°C]
$\theta_{f}$
Temperature 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]
$\theta_{sc}$
Temperature screen [°C]
$\theta_{sh}$
Temperature sheath [°C]
$\theta_{sp}$
Temperature steel pipe [°C]
$W_{conv,ce}$
Convective heat transfer conductor→enclosure [W/m]
$W_{rad,ce}$
Radiation heat transfer conductor→enclosure [W/m]