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This is the conductor temperature rise above the ambient temperature respectively above the surface temperature of cable or duct in tunnel and in trough (method by Anders 2010) and the surface temperature of the cable in riser.
For DC, the dielectric losses $W_d$ are zero and the corresponding terms disappear.
| $n_{ph} \left(W_{c} T_{int}+W_{d} T_{d}\right)+n_{cc} \left(\left(W_{c}+W_{s}+W_{ar}+W_{sp}+W_{d}\right) \left(T_{4i}+T_{4ii}+T_{4iii}\right)+W_{duct} \left(\frac{T_{4ii}}{2}+T_{4iii}\right)\right)$ | Cables in air/in riser IEC 60287 |
| $n_{ph} \left(W_{c} T_{int}+W_{d} T_{d}\right)+n_{cc} \left(W_{d} \left(T_{4i}+T_{4ii}+v_{4} T_{4ss}\right)+\left(W_{c}+W_{s}+W_{ar}+W_{sp}\right) \left(T_{4i}+T_{4ii}+v_{4} T_{4\mu}\right)+W_{duct} \left(\frac{T_{4ii}}{2}+v_{4} T_{4\mu}\right)\right)$ | Cables buried |
| $n_{ph} \left(W_{c} T_{int}+W_{d} T_{d}\right)+n_{cc} \left(W_{I}+W_{d}\right) \left(T_{4i}+T_{4ii}\right)$ | Cables in tunnel |
| $n_{ph} \left(W_{c} T_{int}+W_{d} T_{d}\right)+n_{cc} \left(W_{I}+W_{d}\right) \left(T_{4i}+T_{4ii}+T_{4t}\right)$ | Cables in tunnel (IEC 60287-2-3) |
| $n_{ph} \left(W_{c} T_{int}+W_{d} T_{d}\right)+n_{cc} \left(W_{I}+W_{d}\right) \left(T_{4i}+T_{4ii}+T_{4iii}\right)$ | Cables in channel (Heinhold) |
| $n_{ph} \left(W_{c} T_{int}+W_{d} T_{d}\right)+n_{cc} \left(W_{I}+W_{d}\right) \left(T_{4i}+T_{4ii}+T_{4iii}\right)$ | Cables in trough/in pipe (air-filled) |
| $n_{ph} \left(W_{c} T_{int}+W_{d} T_{d}\right)+n_{cc} \left(W_{I}+W_{d}\right) T_{4iii}$ | Cables subsea |
| $n_{ph} \left(W_{c} T_{int}+W_{d} T_{d}\right)+n_{cc} \left(W_{d} v_{4} T_{4ss}+\left(W_{c}+W_{s}+W_{ar}+W_{sp}\right) v_{4} T_{4\mu}+W_{duct} \left(\frac{T_{4ii}}{2}+v_{4} T_{4\mu}\right)\right)$ | cables in duct with bentonite filling and cyclic |