| A | $a_{0}$ | Coefficient a for partial transient temperature rise | 1/s |
| $a_{12}$ | Distance between phase 1 and 2 | mm |
| $a_{23}$ | Distance between phase 2 and 3 | mm |
| $a_{31}$ | Distance between phase 3 and 1 | mm |
| $A_{a}$ | Cross-sectional area of armour | mm$^2$ |
| $A_{a_{1}}$ | Cross-sectional area of 1st armour | mm$^2$ |
| $A_{a_{2}}$ | Cross-sectional area of 2nd armour | mm$^2$ |
| $A_{ab_{1}}$ | Cross-sectional area of 1st armour bedding | mm$^2$ |
| $A_{ab_{2}}$ | Cross-sectional area of 2nd armour bedding | mm$^2$ |
| $A_{c}$ | Cross-sectional area of conductor | mm$^2$ |
| $a_{c}$ | Skin and proximity effect coefficient a for GIL conductor | |
| $A_{comp}$ | Cross-sectional area of compartment | m$^2$ |
| $A_{d}$ | Cross-sectional area of duct wall | mm$^2$ |
| $A_{d_{fill}}$ | Free cross-sectional area inside duct | mm$^2$ |
| $A_{di}$ | Surface of duct inner wall | m$^2$ |
| $A_{do}$ | Surface of duct outer wall | m$^2$ |
| $A_{e}$ | Surface of object | m$^2$ |
| $A_{encl}$ | Cross-sectional area of enclosure | mm$^2$ |
| $a_{encl}$ | Skin and proximity effect coefficient a for GIL enclosure | |
| $A_{er}$ | Surface of object | m$^2$ |
| $A_{f}$ | Cross-sectional area of filler | mm$^2$ |
| $A_{fluid}$ | Cross-sectional area of fluid | mm$^2$ |
| $A_{i}$ | Cross-sectional area of insulation | mm² |
| $A_{ins}$ | Cross-sectional area of insulation | mm$^2$ |
| $A_{it}$ | Cross-sectional area of insulation (IEC 60853) | mm² |
| $A_{j}$ | Cross-sectional area of jacket | mm$^2$ |
| $A_{k}$ | Thermal property constant A | mm/s$^{1/2}$ |
| $a_{m}$ | Mean distance between the phases | mm |
| $A_{pipe}$ | Cross-sectional area of fluid-filled pipe | mm$^2$ |
| $A_{prot}$ | Cross-sectional area of protective cover | mm$^2$ |
| $a_{S1}$ | Length of 1st section (minor) | p.u. |
| $a_{S2}$ | Length of 2nd section (medium) | p.u. |
| $a_{S3}$ | Length of 3rd section (major) | p.u. |
| $A_{sc}$ | Cross-sectional area of screen | mm$^2$ |
| $A_{scb}$ | Cross-sectional area of screen beddig | mm$^2$ |
| $A_{scs}$ | Cross-sectional area of screen serving | mm$^2$ |
| $A_{sh}$ | Cross-sectional area of sheath | mm$^2$ |
| $A_{shj}$ | Cross-sectional area of sheath jacket | mm$^2$ |
| $a_{shj}$ | Factor $a_{shj}$ for jacket around each core | |
| $A_{sp}$ | Cross-sectional area of steel pipe | mm$^2$ |
| $A_{t}$ | Cross-sectional area of the tunnel | m$^2$ |
| $a_{type}$ | Construction of armour | |
| $\alpha_{0}$ | Constant depending on the burial depth | |
| $\alpha_{ar}$ | Temperature coefficient of armour material | 1/K |
| $\alpha_{at}$ | Heat transfer coefficient to channel wall | W/(K.m$^2$) |
| $\alpha_{c}$ | Temperature coefficient of conductor material | 1/K |
| $\alpha_{encl}$ | Temperature coefficient of enclosure material | 1/K |
| $\alpha_{f}$ | Phase shift | ° |
| $\alpha_{gas}$ | Thermal diffusivity for gas | m$^2$/s |
| $\alpha_{M}$ | Factor $\alpha_M$ | |
| $\alpha_{sa}$ | Heat transfer coefficient for convection | W/(K.m$^2$) |
| $\alpha_{sc}$ | Temperature coefficient of screen material | 1/K |
| $\alpha_{sh}$ | Temperature coefficient of sheath material | 1/K |
| $\alpha_{sp}$ | Temperature coefficient of steel pipe material | 1/K |
| $\alpha_{st}$ | Heat transfer coefficient for radiation | W/(K.m$^2$) |
| $\alpha_{sys}$ | Inclination angle in degrees | ° |
| $\alpha_{t}$ | Conductor to surface attainment factor | |
| B | $B$ | Susceptance | S/m |
| $b_{0}$ | Coefficient b for partial transient temperature rise | 1/s |
| $B_{1_{1}}$ | Loss coefficient $B_1$ of 1st armour | $\Omega$/m |
| $B_{1_{2}}$ | Loss coefficient $B_1$ of 2nd armour | $\Omega$/m |
| $B_{2_{1}}$ | Loss coefficient $B_2$ of 1st armour | $\Omega$/m |
| $B_{2_{2}}$ | Loss coefficient $B_2$ of 2nd armour | $\Omega$/m |
| $b_{c}$ | Skin and proximity effect coefficient b for GIL conductor | |
| $B_{EMF}$ | Magnetic field strength | $\mu$T |
| $b_{encl}$ | Skin and proximity effect coefficient b for GIL enclosure | |
| $B_{k}$ | Thermal property constant B | mm$^2$/s |
| $b_{\mathrm{Nu}_{r}}$ | Factor b | |
| $b_{shj}$ | Factor $b_{shj}$ for jacket around each core | |
| $b_{x}$ | Shorter side of backfill | mm |
| $b_{y}$ | Longer side of backfill | mm |
| $\beta_{0}$ | Constant $\beta_0$ (Ovuworie) | |
| $\beta_{1}$ | Substitution coefficient $\beta_1$ for eddy-currents | |
| $\beta_{6}$ | Factor $|1-\beta(6)|$ | |
| $\beta_{a_{1}}$ | Angle between armour and cable axis | rad |
| $\beta_{a_{2}}$ | Angle between 2nd armour and cable axis | rad |
| $\beta_{air}$ | Volumetric thermal expansion coefficient of air | 1/K |
| $\beta_{ar}$ | Reciprocal of temperature coefficient of armour material | K |
| $\beta_{b}$ | Angle of exposed wetted surface of pipe | rad |
| $\beta_{c}$ | Reciprocal of temperature coefficient of conductor material | K |
| $\beta_{encl}$ | Reciprocal of temperature coefficient of enclosure material | K |
| $\beta_{gas}$ | Volumetric thermal expansion coefficient for gas | 1/K |
| $\beta_{k}$ | Reciprocal of temperature coefficient of resistance | K |
| $\beta_{M}$ | Factor $\beta_M$ | |
| $\beta_{sc}$ | Reciprocal of temperature coefficient of screen material | K |
| $\beta_{sh}$ | Reciprocal of temperature coefficient of sheath material | K |
| $\beta_{sp}$ | Reciprocal of temperature coefficient of steel pipe material | K |
| $\beta_{t}$ | Attainment factor cable surface to ambient | |
| $\beta_{X}$ | Crossing angle [rad] | rad |
| $\beta_{xing}$ | Crossing angle [°] | ° |
| $\mathrm{Bi}_{g}$ | Biot number of the ground | |
| $\mathrm{Bi}_{p}$ | Biot number of the pipe | |
| C | $C_{av}$ | Heat capacity of the air flow | W/K |
| $C_{b}$ | Capacitance of insulation | F/m |
| $C_{b3}$ | Factor C3 for partially buried pipes | |
| $C_{bq}$ | Constants $C_1$ - $C_7$ of multi-layer backfill | |
| $C_{c1}$ | Thermal capacitance, 1st loop | J/m.K |
| $C_{c2}$ | Thermal capacitance, 2nd loop | J/m.K |
| $C_{c3}$ | Thermal capacitance, 3rd loop | J/m.K |
| $C_{c4}$ | Thermal capacitance, 4th loop | J/m.K |
| $c_{color}$ | Wiring color code | |
| $C_{g1}$ | Factor C1 for partially buried pipes | |
| $C_{g2}$ | Factor C2 for partially buried pipes | |
| $c_{gas}$ | Constant c for a gas under GIL conditions | |
| $c_{ij}$ | Coefficient c for view factor | |
| $C_{k1}$ | Non-adiabatic constant $C_1$ | mm/m |
| $C_{k2}$ | Non-adiabatic constant $C_2$ | K.m.mm$^2$/J |
| $C_{\mathrm{Nu}_{L}}$ | Factor C | |
| $c_{\mathrm{Nu}_{r}}$ | Factor c | |
| $C_{\mathrm{Nu}_{w}}$ | Factor C | |
| $c_{p_{gas}}$ | Specific heat capacity at constant pressure | J/kg.K |
| $c_{p_{soil}}$ | Specific heat capacity of soil | J/kg.K |
| $c_{p_{w}}$ | Specific heat capacity at constant pressure | J/kg.K |
| $c_{shj}$ | Factor $c_{shj}$ for jacket around each core | |
| $c_{SI}$ | Surge velocity of propagation | km/s |
| $c_{type}$ | Construction of conductor | |
| $c_{v_{gas}}$ | Specific heat capacity at constant volume | J/kg.K |
| $c_{v_{w}}$ | Specific heat capacity at constant volume | J/kg.K |
| $C_{vair}$ | Volumetric heat capacity of air | J/K.m$^3$ |
| $CC$ | Charging capacity | kvar/km |
| $CC_{pull}$ | Conduit clearance | mm |
| $CF_{pull}$ | Conduit fill | $\%$ |
| $CJ_{pull}$ | Conduit jamming ratio | |
| $cos\varphi$ | Power factor | |
| $CR_{pull}$ | Conduit ratio | |
| $cuw$ | Standard copper wires | mm |
| D | $d_{a}$ | Mean diameter of armour | mm |
| $d_{a_{1}}$ | Mean diameter of 1st armour | mm |
| $D_{a_{1}}$ | External diameter of 1st armour | mm |
| $d_{a_{2}}$ | Mean diameter of 2nd armour | mm |
| $D_{a_{2}}$ | External diameter of 2nd armour | mm |
| $D_{ab_{1}}$ | Diameter over 1st armour bedding | mm |
| $D_{ab_{2}}$ | Diameter over 2nd armour bedding | mm |
| $d_{b}$ | Diameter of the backfill | mm |
| $d_{b3}$ | Distance c of multi-layer backfill | m |
| $d_{b4}$ | Distance d of multi-layer backfill | m |
| $d_{c}$ | External diameter of conductor | mm |
| $D_{c}$ | Diameter of conductor | m |
| $d_{ci}$ | Internal diameter of conductor | mm |
| $D_{comp}$ | Diameter of compartment (metric) | m |
| $d_{comp}$ | Diameter of compartment | mm |
| $d_{ct}$ | External diameter of conductor for transient calculations | mm |
| $D_{di}$ | Inner diameter of duct | m |
| $D_{do}$ | Outer diameter of duct | m |
| $D_{dry}$ | Diameter of drying zone | m |
| $D_{e}$ | External diameter of object | mm |
| $d_{e}$ | Diameter of sheath and armour | mm |
| $d_{encl}$ | Outer diameter of enclosure | mm |
| $D_{encl}$ | Outer diameter of enclosure (metric) | m |
| $D_{eq}$ | Equivalent diameter of a group of cables | mm |
| $D_{ext}$ | Overall outer diameter of pipe | m |
| $D_{f}$ | External diameter of the filler | mm |
| $d_{f}$ | Spacing from hottest object in group | m |
| $d_{f_{1}}$ | Thickness of 1st armour | mm |
| $d_{f_{2}}$ | Thickness of 2nd armour | mm |
| $D_{i}$ | Diameter over insulation | mm |
| $d_{im}$ | Imaginary layer of soil | m |
| $D_{in}$ | Inner diameter of pipe | m |
| $D_{ins}$ | Diameter over insulation without insulation screen | mm |
| $d_{ins}$ | Diameter of insulation around pipe | mm |
| $D_{it}$ | Diameter over insulation for transient calculations | mm |
| $d_{j}$ | Diameter below jacket | m |
| $D_{o}$ | Outer diameter | m |
| $d_{pk1}$ | Distance to mirrored buried object | mm |
| $d_{pk2}$ | Distance between buried objects | mm |
| $d_{prot}$ | Diameter of protective cover | mm |
| $d_{psc}$ | Point source correction | m |
| $D_{ref}$ | Reference diameter for determination of OHTC | m |
| $d_{s}$ | Mean diameter of screen/sheath | mm |
| $D_{sc}$ | Diameter over screen | mm |
| $d_{sc}$ | Mean diameter of screen | mm |
| $D_{scb}$ | Diameter over screen bedding | mm |
| $D_{scs}$ | Diameter over screen serving | mm |
| $D_{sh}$ | External diameter of sheath | mm |
| $d_{sh}$ | Mean diameter of sheath | mm |
| $D_{shb}$ | Diameter below sheath | mm |
| $D_{shj}$ | Diameter of sheath jacket | m |
| $D_{soil}$ | Outer diameter of soil layer | m |
| $d_{t}$ | Channel covering | m |
| $d_{w}$ | Depth under water | m |
| $D_{wall}$ | Outer diameter of steel pipe | m |
| $d_{x}$ | Equivalent diameter of a conductor | mm |
| $D_{x}$ | Characteristic diameter | mm |
| $D_{x_{w}}$ | Characteristic diameter for weekly load | mm |
| $D_{x_{y}}$ | Characteristic diameter for yearly load | mm |
| $\Delta _{1}$ | Substitution coefficient $\Delta_1$ for eddy-currents | |
| $\delta _{1}$ | Thickness of screening layer | mm |
| $\Delta _{2}$ | Substitution coefficient $\Delta_2$ for eddy-currents | |
| $\delta _{ar}$ | Equivalent thickness of armour | mm |
| $\delta _{d}$ | Distance between cable and duct | m |
| $\delta _{k}$ | Thickness of screen, sheath or armour | mm |
| $\delta _{soil}$ | Soil thermal diffusivity | m$^2$/s |
| $\Delta d_{sh}$ | Depth of corrugation | mm |
| $\Delta H_{c}$ | Heat of combustion coefficient | MJ/kg |
| $\Delta t$ | Length of time step | s |
| $\Delta \theta_{0t}$ | Air temperature in tunnel increase | K |
| $\Delta \theta_{0x}$ | Temperature rise by crossing heat sources | K |
| $\Delta \theta_{0x_{1}}$ | Temperature rise of the conductor, first estimate | K |
| $\Delta \theta_{0x_{h}}$ | Temperature rise of the conductor by source h | K |
| $\Delta \theta_{a_{t}}$ | Corrected transient temperature rise of conductor | K |
| $\Delta \theta_{air}$ | Temperature increase of air | K |
| $\Delta \theta_{c}$ | Temperature rise of conductor | K |
| $\delta \theta_{c}$ | Ohmic steady-state temperature rise | K |
| $\Delta \theta_{c_{t}}$ | Transient temperature rise of conductor by ohmic losses | K |
| $\Delta \theta_{ce}$ | Temperature difference, conductor to surface | K |
| $\Delta \theta_{d}$ | Temperature rise by dielectric losses | K |
| $\Delta \theta_{e_{t}}$ | Transient temperature rise of outer surface | K |
| $\Delta \theta_{gas}$ | Temperature difference, conductor to enclosure | °C |
| $\Delta \theta_{kp}$ | Temperature rise by buried object k | K |
| $\Delta \theta_{max}$ | Maximum permissible conductor temperature rise | K |
| $\Delta \theta_{p}$ | Temperature rise by other buried objects | K |
| $\Delta \theta_{R}$ | Conductor temperature rise above ambient temperature | K |
| $\Delta \theta_{R_{\infty}}$ | Maximum permissible conductor temperature rise | °C |
| $\Delta \theta_{s}$ | Temperature difference surface to ambient | K |
| $\delta \theta_{SPK}$ | Peak cyclic temperature rise | K |
| $\Delta \theta_{sun}$ | Temperature rise by solar radiation | K |
| $\Delta \theta_{t}$ | Transient temperature rise of conductor | K |
| $\Delta \theta_{t_{\infty}}$ | Steady-state temperature rise of conductor | K |
| $\Delta \theta_{x}$ | Critical soil temperature rise | K |
| $\Delta \theta_{x0}$ | VDE soil temperature rise | K |
| $\Delta W$ | Incremental heat generated | W |
| $\Delta z$ | Length of the interval | m |
| $Di_{d}$ | Inner diameter of duct | mm |
| $di_{pipe}$ | Internal diameter of fluid-filled pipe | mm |
| $Di_{sp}$ | Inner diameter of steel pipe | mm |
| $Di_{t}$ | Tunnel inner diameter | m |
| $Do_{d}$ | Outer diameter of duct | mm |
| $do_{pipe}$ | External pipe diameter | mm |
| $Do_{sp}$ | Outer diameter of steel pipe | mm |
| $Do_{t}$ | Tunnel/trough outer diameter | m |
| E | $E_{bs}$ | Installation constant E | |
| $e_{hor}$ | Horizontal clearance | mm |
| $e_{limit}$ | Limit of thickness of soil layer | m |
| $e_{soil}$ | Thickness of soil layer | m |
| $E_{stress}$ | Electrical field strength | kV/mm |
| $e_{ver}$ | Vertical clearance | mm |
| $e_{wall}$ | Clearance to wall | mm |
| $EEC$ | Embodied energy and carbon | MJ/kg |
| $\epsilon_{0}$ | Vacuum permittivity | F/m |
| $\epsilon_{c}$ | Effective emissivity of conductor | |
| $\epsilon_{di}$ | Emissivity of duct inner surface | |
| $\epsilon_{do}$ | Emissivity of duct outer surface | |
| $\epsilon_{e}$ | Emissivity of cable surface | |
| $\epsilon_{encl}$ | Effective emissivity of enclosure | |
| $\epsilon_{gas}$ | Dielectric constant of gas in compartment | |
| $\epsilon_{i}$ | Relative permittivity of insulation | |
| $\epsilon_{k}$ | Heat loss allowance factor | |
| $\epsilon_{prot}$ | Effective emissivity of protective cover | |
| $\epsilon_{rad}$ | Effective emissivity | |
| $\eta0_{gas}$ | Reference dynamic viscosity of gas | Pa.s |
| $\eta_{di}$ | Reflectivity of (opaque) duct inner surface | |
| $\eta_{do}$ | Reflectivity of (opaque) duct outer surface | |
| $\eta_{e}$ | Reflectivity of (opaque) cable surface | |
| $\eta_{gas}$ | Dynamic viscosity of gas | Pa.s |
| $\eta_{w}$ | Dynamic viscosity of water | Pa.s |
| F | $f$ | System frequency | Hz |
| $F_{a_{1}}$ | Effective length per unit lay length of 1st armour | mm |
| $F_{a_{2}}$ | Effective length per unit lay length of 2nd armour | mm |
| $F_{\alpha}$ | Inclination derating factor | p.u. |
| $f_{atm}$ | Relation atmospheric pressure to standard atmosphere | |
| $f_{cb}$ | Factor for cross-bonded earthing | |
| $F_{e}$ | Factor $F_e$ for eddy-current losses | |
| $F_{eq}$ | Factor for envelope circle for a group of cables | |
| $F_{form}$ | Form factor | |
| $F_{g}$ | Gravitational force | daN/m |
| $F_{ij}$ | View factor object-object | |
| $F_{k}$ | Imperfect contact thermal factor | |
| $F_{m}$ | Radiation coefficient mutual | |
| $F_{mh}$ | Mutual heating coefficient | |
| $f_{ppc}$ | Factor of permissible pull | N/mm$^2$ |
| $F_{ppc}$ | Permissible pull force | daN |
| $F_{pt}$ | Function of pressure and temperature | |
| $F_{pull}$ | Pulling force | daN |
| $f_{rad}$ | Sidewall bearing pressure factor | N/m |
| $F_{rad}$ | Sidewall bearing pressure | daN/m |
| $F_{red}$ | Reduction factor for the permissible current rating | |
| $f_{SHF}$ | Sheath factor | |
| $F_{T10_{1}}$ | Factor Table 10, single cables | p.u. |
| $F_{T10_{3}}$ | Factor Table 10, trefoil groups | p.u. |
| $F_{T11_{s}}$ | Factor Table 11, first part | p.u. |
| $F_{T11_{t}}$ | Factor Table 11, second part | p.u. |
| $F_{T12}$ | Factor Table 12 | p.u. |
| $F_{T13}$ | Factor Table 13 | p.u. |
| $f_{wc}$ | Weight correction factor | |
| $F_{x}$ | Geometrical distance factor for multi-core cables | |
| G | $g$ | Standard acceleration of gravity | m/s$^2$ |
| $G$ | Conductance | S/m |
| $G_{1}$ | Geometric factor $G_1$ | |
| $G_{2}$ | Geometric factor $G_2$ for cables with separate sheaths | |
| $g_{a}$ | Substitution coefficient g | |
| $G_{b}$ | Geometric factor for backfill | |
| $g_{bs}$ | Installation constant g | |
| $G_{corr}$ | Geometric correction factor $G_{corr}$ for jacket around each core | |
| $g_{dry}$ | Geometric constant of circle with dried-out soil | p.u. |
| $G_{encl}$ | Factor G for the calculation of the Nusselt number | |
| $G_{FEA}$ | Geometric reference factor $G_{FEA}$ based on FEM fitting | |
| $G_{od}$ | Aspect ratio object/duct | |
| $g_{s}$ | Substitution coefficient $g_s$ for eddy-currents | |
| $G_{s00}$ | Factor $G_{s 0.0}$ | |
| $G_{s05}$ | Factor $G_{s 0.5}$ | |
| $G_{s10}$ | Factor $G_{s 1.0}$ | |
| $g_{x}$ | Geometric constant of circle with characteristic diameter | p.u. |
| $\gamma_{a}$ | Armour angle | rad |
| $\gamma_{bessel}$ | Bessel constant | p.u. |
| $\gamma_{c}$ | Skin and proximity effect factor $\gamma$ for GIL conductor | |
| $\gamma_{encl}$ | Skin and proximity effect factor $\gamma$ for GIL enclosure | |
| $\gamma_{euler}$ | Euler's constant | m/s$^2$ |
| $\gamma_{t}$ | Attainment factor for groups of cables | |
| $\gamma_{X}$ | Attenuation factor for crossing | 1/m |
| $GMD$ | Geometric mean distance | mm |
| $GMR$ | Geometric mean radius | mm |
| $\mathrm{Gr}_{c}$ | Grashof number, conductor to gas | |
| $\mathrm{Gr}_{da}$ | Grashof number, duct in air | |
| $\mathrm{Gr}_{encl}$ | Grashof number, gas to enclosure | |
| $\mathrm{Gr}_{gd}$ | Grashof number, gas to duct | |
| $\mathrm{Gr}_{L}$ | Grashof number, ground to air | |
| $\mathrm{Gr}_{od}$ | Grashof number, object to duct | |
| $\mathrm{Gr}_{og}$ | Grashof number, object to gas | |
| $\mathrm{Gr}_{prot}$ | Grashof number, surface to air | |
| H | $H$ | Distance center of pipe to ground | m |
| $h_{1}$ | Factor $h_1$ for emergency load | |
| $H_{1_{1}}$ | Component of inductance $H_1$ of 1st armour | H/m |
| $H_{1_{2}}$ | Component of inductance $H_1$ of 2nd armour | H/m |
| $H_{2_{1}}$ | Component of inductance $H_2$ of 1st armour | H/m |
| $H_{2_{2}}$ | Component of inductance $H_2$ of 2nd armour | H/m |
| $H_{3_{1}}$ | Component of inductance $H_3$ of 1st armour | H/m |
| $H_{3_{2}}$ | Component of inductance $H_3$ of 2nd armour | H/m |
| $h_{amb}$ | Pseudo film coefficient of ambient fluid at ground level | W/(K.m$^2$) |
| $h_{atm}$ | Height above sea level | m |
| $h_{b}$ | Height of the backfill | mm |
| $h_{bs}$ | Heat dissipation coefficient for black surfaces in free air | W/m$^2$/K$^{5/4}$ |
| $h_{buried}$ | Heat transfer coefficient wall to soil | W/(K.m$^2$) |
| $H_{c}$ | Heat energy content | MJ/m |
| $h_{c}$ | Convection heat transfer coefficient, conductor to gas | W/(K.m$^2$) |
| $h_{conv_{da}}$ | Convection heat transfer coefficient, duct to air | W/(K.m$^2$) |
| $h_{conv_{gd}}$ | Convection heat transfer coefficient, gas to duct | W/(K.m$^2$) |
| $h_{conv_{od}}$ | Convection heat transfer coefficient, object to duct | W/(K.m$^2$) |
| $h_{conv_{og}}$ | Convection heat transfer coefficient, object to gas | W/(K.m$^2$) |
| $h_{conv_{sa}}$ | Convection heat transfer coefficient, surface to air | W/(K.m$^2$) |
| $h_{encl}$ | Convection heat transfer coefficient, gas to enclosure | W/m2.K |
| $h_{era}$ | Convection heat transfer coefficient acc. ERA | W/(K.m$^2$) |
| $h_{ext}$ | External heat transfer coefficient | W/(K.m$^2$) |
| $h_{ground}$ | Heat transfer coefficient buried part of wall to soil | W/(K.m$^2$) |
| $h_{in}$ | Heat transfer coefficient inside | W/(K.m$^2$) |
| $h_{lg}$ | Ratio of heat dissipation coefficients | |
| $h_{rad_{ce}}$ | Radiation heat transfer coefficient, conductor to enclosure | W/(K.m$^2$) |
| $h_{rad_{da}}$ | Radiation heat transfer coefficient, duct to air | W/(K.m$^2$) |
| $h_{rad_{od}}$ | Radiation heat transfer coefficient, object to duct | W/(K.m$^2$) |
| $h_{rad_{sa}}$ | Radiation heat transfer coefficient, surface to air | W/(K.m$^2$) |
| $H_{s}$ | Sheath conductance | H/m |
| $h_{soil}$ | Heat transfer coefficient wall-soil | W/(K.m$^2$) |
| $H_{sun}$ | Intensity of solar radiation | W/m$^2$ |
| $h_{t}$ | Inner height | m |
| $h_{T4}$ | Ratio of thermal resistance to ambient | |
| $H_{tc}$ | Parameter H for trough | |
| $h_{tr}$ | Heat transfer coefficient | W/(K.m$^2$) |
| $H_{ts}$ | Parameter H depending on air velocity | |
| $H_{x}$ | Magnetic field x-component | mH |
| $H_{y}$ | Magnetic field y-component | mH |
| I | $I_{1}$ | Steady-state current before transient | A |
| $I_{2}$ | Emergency load current | A |
| $I_{c}$ | Conductor current | A |
| $I_{C}$ | Capacitive load current | A/km |
| $I_{c_{max}}$ | Highest current load of line | A |
| $I_{c_{peak}}$ | Permissible peak cyclic load current | A |
| $I_{Ce}$ | Capacitive earth short-circuit current | A/km |
| $I_{EMF}$ | Phase current for EMF calculation | A |
| $I_{k}$ | Permissible short-circuit current | kA |
| $I_{k1}$ | Phase-to-ground short-circuit current | kA |
| $I_{k2}$ | Phase-to-phase short-circuit current | kA |
| $I_{k3}$ | Three-phase symmetric short-circuit current | kA |
| $I_{kAD}$ | Short-circuit current (adiabatic) | kA |
| $I_{kSC}$ | Effective short-circuit current | kA |
| $I_{method}$ | Current calculation method | |
| $I_{R}$ | Transient conductor current | A |
| $inst_{air}$ | Installation in air | |
| $inst_{elec}$ | Installation of cables for electrical calculations | |
| $inst_{riser}$ | Installation of cables in riser | |
| $inst_{sea}$ | Installation of subsea cables | |
| $inst_{t}$ | Installation in air inside a room | |
| J | $j_{max}$ | Phase angle range | ° |
| K | $K$ | Screening factor | |
| $K_{0}$ | Coefficient K for a gas under GIL conditions | |
| $K_{02}$ | Factor $K_{0.2}$ | |
| $K_{06}$ | Factor $K_{0.6}$ | |
| $K_{10}$ | Factor $K_{1.0}$ | |
| $k_{4}$ | Thermal conductivity of soil | W/(m.K) |
| $K_{A}$ | Coefficient K to calculate in air | |
| $k_{air}$ | Thermal conductivity of air | W/(m.K) |
| $K_{BICC}$ | Constant relating to conductor formation | |
| $k_{Boltzmann}$ | Boltzmann constant | J/K |
| $k_{c}$ | Thermal conductivity of conductor material | K.m/W |
| $K_{ce}$ | Radiation shape factor, conductor to enclosure | |
| $K_{cv}$ | Convection factor | |
| $k_{encl}$ | Thermal conductivity of enclosure | W/(m.K) |
| $k_{fluid}$ | Thermal conductivity of fluid | W/(m.K) |
| $k_{gas}$ | Thermal conductivity for gas | W/(m.K) |
| $K_{GMR}$ | Geometric mean radius factor | |
| $k_{H}$ | Heinhold characteristic diameter coefficient | |
| $k_{ins}$ | Thermal conductivity of insulation | W/(m.K) |
| $K_{k}$ | Specific short-circuit parameter | A.s$^{1/2}$/mm$^2$ |
| $k_{l}$ | Temperature rise factor in air | |
| $k_{LF}$ | Load loss constant coefficient | p.u. |
| $K_{od}$ | Diameter ratio object/duct | |
| $k_{p}$ | Proximity effect coefficient | |
| $K_{par}$ | Constant $K_{par}$ (Ovuworie) | |
| $k_{pipe}$ | Thermal conductivity of fluid-filled pipe | W/(m.K) |
| $k_{prot}$ | Thermal conductivity of protective cover | W/(m.K) |
| $K_{r}$ | Radiation shape factor within duct | |
| $k_{r2}$ | Temperature rise ratio $\delta\theta_{SPK}/\delta\theta_c$ | p.u. |
| $k_{s}$ | Skin effect coefficient | |
| $k_{sa}$ | Convection factor (Heinhold) | |
| $k_{sa_{1}}$ | Factor 1 for convection heat transfer coefficient | |
| $k_{sa_{2}}$ | Factor 2 for convection heat transfer coefficient | |
| $k_{t}$ | Temperature rise ratio | p.u. |
| $K_{t}$ | Effective emissivity of surface | |
| $K_{vermeer}$ | Vermeer constant for convection heat transfer | |
| $k_{w}$ | Thermal conductivity of water | W/(m.K) |
| $K_{x}$ | Factor for fictitious diameter by Neher | |
| $k_{X}$ | Number of heat sources crossing | |
| L | $L_{0}$ | Reference length of the tunnel | m |
| $L_{1}$ | Inductance of phase 1 | H/m |
| $L_{2}$ | Inductance of phase 2 | H/m |
| $L_{3}$ | Inductance of phase 3 | H/m |
| $L_{b}$ | Vertical center of backfill | mm |
| $L_{b4}$ | Trench depth of multi-layer backfill | m |
| $L_{c}$ | Depth of laying of sources | mm |
| $L_{char}$ | Characteristic length earth surface | |
| $L_{cm}$ | Depth of laying | m |
| $L_{crit}$ | Critical system length | km |
| $L_{d}$ | Length of duct | m |
| $L_{deep}$ | Equivalent depth for deep burial | m |
| $L_{dry}$ | Depth of characteristic diameter of drying zone | m |
| $L_{dw}$ | Length of duct in water | m |
| $L_{earth}$ | Equivalent depth of earth return path | mm |
| $L_{h}$ | Depth of laying of crossing element | mm |
| $L_{leg}$ | Length of a section | m |
| $L_{r}$ | Depth of laying of the rated object | mm |
| $L_{sys}$ | System length | km |
| $L_{T}$ | Length of the tunnel | m |
| $\lambda_{0}$ | Substitution coefficient $\lambda_0$ for eddy-currents | |
| $\lambda_{1}$ | Loss factor of screen and sheath | |
| $\lambda_{1c}$ | Loss factor by circulating currents | |
| $\lambda_{1cb}$ | Loss factor for solid bonding | |
| $\lambda_{1e}$ | Loss factor by eddy currents | |
| $\lambda_{1es}$ | Loss factor for single point bonding | |
| $\lambda_{2}$ | Loss factor of armour | |
| $\lambda_{3}$ | Loss factor of steel pipes for pipe-type cables | |
| $\lambda_{4}$ | Loss factor of ducts | |
| $\lambda_{d}$ | Factor for dielectric losses | |
| $\lambda_{gas}$ | Ratio $c_p/c_v$ | |
| $\lambda_{t}$ | Relaxation parameter | |
| $LF$ | Load factor | p.u. |
| $LF_{w}$ | Weekly load factor | p.u. |
| $LF_{y}$ | Yearly load factor | p.u. |
| $LME$ | London Metal Exchange | USD/mt |
| M | $M$ | Cyclic rating factor | p.u. |
| $m_{0}$ | Substitution coefficient $m_0$ for eddy-currents | Hz.m/$\Omega$ |
| $M_{0}$ | Coefficient M for partial transient temperature rise | s |
| $M_{1}$ | Corrected cyclic rating factor | K |
| $m_{a_{1}}$ | Mass of 1st armour | kg/m |
| $m_{a_{2}}$ | Mass of 2nd armour | kg/m |
| $M_{ab}$ | Material of armour bedding | |
| $m_{ab_{1}}$ | Mass of 1st armour bedding | kg/m |
| $m_{ab_{2}}$ | Mass of 2nd armour bedding | kg/m |
| $M_{c}$ | Material of conductor | |
| $m_{c}$ | Mass of conductor | kg/m |
| $M_{cable}$ | List of materials in a cable | |
| $M_{comp}$ | Material of insulating gas | |
| $M_{d}$ | Material of duct pipe | |
| $M_{e}$ | Substitution coefficient $M_e$ to calculate factor $F_e$ | |
| $m_{EMF}$ | Number of time steps | |
| $M_{encl}$ | Material of enclosure | |
| $M_{f}$ | Material of filler | |
| $m_{f}$ | Mass of filler | kg/m |
| $M_{fluid}$ | Fluid material | |
| $M_{gas}$ | Gas and gas-mixtures | |
| $M_{i}$ | Material of insulation | |
| $m_{i}$ | Mass of insulation | kg/m |
| $M_{IEEE}$ | Materials acc. IEEE 442 | |
| $M_{ins}$ | Material of insulation around pipe | |
| $M_{j}$ | Material of jacket | |
| $m_{j}$ | Mass of jacket | kg/m |
| $M_{k}$ | Thermal contact factor | s$^{1/2}$ |
| $M_{mol}$ | Molar mass | g/mol |
| $m_{mol}$ | Molecular mass | mol |
| $m_{\mathrm{Nu}_{L}}$ | Factor m | |
| $m_{\mathrm{Nu}_{w}}$ | Factor m | |
| $M_{pipe}$ | Material of fluid-filled pipe | |
| $M_{prot}$ | Material of protective cover | |
| $M_{riser}$ | Material of riser | |
| $M_{s}$ | Factor $M_s$ | |
| $M_{sc}$ | Material of screen | |
| $m_{sc}$ | Mass of metallic screen | kg/m |
| $m_{scb}$ | Mass of screen bedding tapes | kg/m |
| $m_{scs}$ | Mass of screen serving tapes | kg/m |
| $M_{seabed}$ | Material of seabed | |
| $M_{sh}$ | Material of sheath | |
| $m_{sh}$ | Mass of metallic sheath | kg/m |
| $M_{shj}$ | Material of sheath jacket | |
| $m_{shj}$ | Mass of jacket over each core | kg/m |
| $M_{soil}$ | Type of soils | |
| $M_{sp}$ | Material of containment for pipe-type cables | |
| $M_{spf}$ | Steel pipe filling medium | |
| $m_{tot}$ | Mass of cable | kg/m |
| $\mu$ | Loss factor | p.u. |
| $\mu_{0}$ | Vacuum permeability | H/m |
| $\mu_{dyn}$ | Dynamic friction coefficient | |
| $\mu_{e}$ | Longitudinal relative permeability | |
| $\mu_{s}$ | Relative permeability | |
| $\mu_{t}$ | Traverse relative permeability of steel wires | |
| $\mu_{w}$ | Loss factor for weekly load variation | p.u. |
| $\mu_{y}$ | Loss factor for yearly load variation | p.u. |
| N | $N_{0}$ | Coefficient N for partial transient temperature rise | s$^2$ |
| $n_{a_{1}}$ | Number of wires of 1st armour | |
| $n_{a_{2}}$ | Number of wires of 2nd armour | |
| $N_{Avogrado}$ | Avogadro constant | 1/mol |
| $N_{b}$ | Number of loaded objects in backfill | |
| $n_{c}$ | Number of conductors in object | |
| $N_{c}$ | Number of sources in system | |
| $n_{cc}$ | Number of conductors combined | |
| $n_{cg}$ | Number of conductors in GIL | |
| $n_{cw}$ | Number of wires in conductor | |
| $n_{cycle}$ | Number of load cycles | |
| $N_{e}$ | Substitution coefficient $N_e$ to calculate factor $F_e$ | |
| $n_{\mathrm{Nu}_{r}}$ | Factor n | |
| $N_{sea}$ | Number of subsea cables | |
| $N_{sum}$ | Total number of objects in an air-filled space | |
| $n_{sw}$ | Number of screen wires | |
| $N_{sys}$ | Number of parallel systems in the same confinement | |
| $N_{X}$ | Number of intervals | |
| $
u$ | Summation step 1 - $N_X$ | |
| $
u_{air}$ | Kinematic viscosity for air | m$^2$/s |
| $\mathrm{Nu}_{c}$ | Nusselt number, conductor to gas | |
| $\mathrm{Nu}_{da}$ | Nusselt number, duct to air | |
| $\mathrm{Nu}_{encl}$ | Nusselt number, gas to enclosure | |
| $
u_{gas}$ | Kinematic viscosity for gas | m$^2$/s |
| $\mathrm{Nu}_{gd}$ | Nusselt number, gas to duct | |
| $\mathrm{Nu}_{L}$ | Nusselt number, ground to air | |
| $\mathrm{Nu}_{od}$ | Nusselt number, object to duct | |
| $\mathrm{Nu}_{og}$ | Nusselt number, object to gas | |
| $\mathrm{Nu}_{prot}$ | Nusselt number, surface to air | |
| $
u_{sc}$ | Elongation of screen | $\%$ |
| $
u_{soil}$ | Soil moisture content | $\%$ |
| $\mathrm{Nu}_{w}$ | Nusselt number, surface to water | |
| $
u_{w}$ | Kinematic viscosity for water | m$^2$/s |
| O | $\omega$ | Angular frequency | rad/s |
| P | $p_{a_{1}}$ | Length of lay of 1st armour | mm |
| $p_{a_{2}}$ | Length of lay of 2nd armour | mm |
| $p_{ab1}$ | Factor apportioning the 1st armour bedding | |
| $p_{ab2}$ | Factor apportioning the 2nd armour bedding | |
| $p_{atm}$ | Atmospheric air pressure | hPa |
| $p_{cb}$ | Minor ratio of section lengths | |
| $P_{cc}$ | Substitution coefficient P to calculate loss factor by circulating currents | |
| $p_{comp}$ | Gas pressure in compartment | bar |
| $p_{gas}$ | Gas pressure | Pa |
| $p_{i}$ | Factor apportioning the insulation | |
| $p_{j}$ | Factor apportioning the jacket | |
| $P_{L}$ | Active power at load receptor | kW |
| $p_{\mathrm{Nu}_{r}}$ | Factor p | |
| $p_{shj}$ | Factor apportioning the sheath jacket | |
| $p_{soil}$ | Depth of image source | |
| $p_{tr}$ | Effective perimeter of trough | m |
| $p_{w}$ | Water pressure | bar |
| $\Phi_{air}$ | Relative humidity of air | $\%$ |
| $\phi_{arc}$ | Angle of a bend | rad |
| $\phi_{el}$ | Angle to the plane of a section | rad |
| $\phi_{tr}$ | Parameter $\phi$ for trough | |
| $\pi$ | Archimedes' constant $\pi$ | |
| $\mathrm{Pr}_{air}$ | Prandtl number for air | |
| $\mathrm{Pr}_{gas}$ | Prandtl number for gas | |
| $\mathrm{Pr}_{w}$ | Prandtl number for liquids | |
| Q | $q_{1}$ | Ratio of losses affecting screen bedding/serving | |
| $q_{2_{1}}$ | Ratio of losses affecting 1st armour bedding | |
| $q_{2_{2}}$ | Ratio of losses affecting 2nd armour bedding | |
| $q_{3}$ | Ratio of losses affecting jacket | |
| $q_{4}$ | Ratio of losses affecting environment | |
| $q_{a}$ | Ratio of losses armour | |
| $Q_{A}$ | Element A of two-part thermal circuit | J/m.K |
| $Q_{a_{1}}$ | Thermal capacitance of 1st armour | J/m.K |
| $Q_{a_{2}}$ | Thermal capacitance of 2nd armour | J/m.K |
| $Q_{ab_{1}}$ | Thermal capacitance of 1st armour bedding | J/m.K |
| $Q_{ab_{2}}$ | Thermal capacitance of 2nd armour bedding | J/m.K |
| $Q_{B}$ | Element B of two-part thermal circuit | J/m.K |
| $Q_{B_{ab1}}$ | Element B of two-part thermal circuit of 1st armour bedding | J/m.K |
| $Q_{B_{ab2}}$ | Element B of two-part thermal circuit of 2nd armour bedding | J/m.K |
| $Q_{B_{d}}$ | Element B of two-part thermal circuit, duct | J/m.K |
| $Q_{B_{f}}$ | Element B of two-part thermal circuit, filler | J/m.K |
| $Q_{B_{i}}$ | Element B of two-part thermal circuit, insulation | J/m.K |
| $Q_{B_{j}}$ | Element B of two-part thermal circuit, jacket | J/m.K |
| $Q_{B_{s}}$ | Element B of two-part thermal circuit, screen/sheath | J/m.K |
| $Q_{c}$ | Thermal capacitance of conductor | J/m.K |
| $q_{cb}$ | Major ratio of section lengths | |
| $Q_{cc}$ | Substitution coefficient Q to calculate loss factor by circulating currents | |
| $Q_{ct}$ | Thermal capacitance of conductor (IEC 60853) | J/m.K |
| $Q_{d}$ | Thermal capacitance of duct wall | J/m.K |
| $Q_{d_{fill}}$ | Thermal capacitance of duct filling | J/m.K |
| $Q_{f}$ | Thermal capacitance of filler | J/m.K |
| $q_{f}$ | Ratio of losses affecting the filler | |
| $Q_{i}$ | Thermal capacitance of insulation | J/m.K |
| $Q_{it}$ | Thermal capacitance of insulation (IEC 60853) | J/m.K |
| $Q_{it1}$ | Thermal capacitance of insulation, 1st portion (IEC 60853) | J/m.K |
| $Q_{it2}$ | Thermal capacitance of insulation, 2nd portion (IEC 60853) | J/m.K |
| $Q_{j}$ | Thermal capacitance of jacket | J/m.K |
| $Q_{s}$ | Thermal capacitance of screen+sheath | J/m.K |
| $q_{s}$ | Ratio of losses screen/sheath | |
| $Q_{sc}$ | Thermal capacitance of screen | J/m.K |
| $Q_{scb}$ | Thermal capacitance of screen bedding | J/m.K |
| $Q_{scs}$ | Thermal capacitance of screen serving | J/m.K |
| $Q_{sh}$ | Thermal capacitance of sheath | J/m.K |
| $Q_{shj}$ | Thermal capacitance of sheath jacket | J/m.K |
| $Q_{sp}$ | Thermal capacitance of steel pipe | J/m.K |
| $Q_{tot}$ | Total thermal capacitance, transient | J/m.K |
| $q_{x}$ | Factor for characteristic diameter | |
| R | $R_{0}$ | Zero sequence resistance | $\Omega$/m |
| $R_{1}$ | Resistance of conductor before emergency rating | $\Omega$/m |
| $R_{A}$ | Electrical resistance of armour | $\Omega$/m |
| $R_{A_{1}}$ | Electrical resistance of 1st armour | $\Omega$/m |
| $R_{A_{2}}$ | Electrical resistance of 2nd armour | $\Omega$/m |
| $r_{arc}$ | Radius of a bend | m |
| $r_{b}$ | Equivalent radius of backfill | mm |
| $r_{c}$ | Radius of conductor | mm |
| $R_{c}$ | Resistance of conductor | $\Omega$/m |
| $R_{c1}$ | Thermal resistance, 1st loop | K.m/W |
| $R_{c2}$ | Thermal resistance, 2nd loop | K.m/W |
| $R_{c3}$ | Thermal resistance, 3rd loop | K.m/W |
| $R_{c4}$ | Thermal resistance, 4th loop | K.m/W |
| $R_{CG}$ | Thermal resistance of multi-layer backfill | K.m/W |
| $R_{co}$ | DC resistance of conductor at 20°C | $\Omega$/m |
| $R_{e}$ | Electrical resistance of sheath and armour | $\Omega$/m |
| $R_{e_{1}}$ | Electrical resistance of sheath and 1st armour | $\Omega$/m |
| $R_{e_{2}}$ | Electrical resistance of sheath and 2nd armour | $\Omega$/m |
| $R_{earth}$ | Equivalent resistance of earth return path | p.u. |
| $R_{encl}$ | Electrical resistance of enclosure | $\Omega$/m |
| $R_{encl20}$ | DC resistance of enclosure at 20°C | $\Omega$/m |
| $r_{F}$ | Radius below the insulation | mm |
| $R_{gas}$ | Specific gas constant | J/kg.K |
| $R_{gas0}$ | Universal molar gas constant | |
| $r_{I}$ | Radius of the insulation | mm |
| $r_{ij}$ | Coefficient r for view factor | |
| $R_{max}$ | Resistance of conductor at emergency rating | $\Omega$/m |
| $r_{mbi}$ | Minimal bending radius for installation | m |
| $r_{mbif}$ | Factor of minimal installation bending radius | |
| $r_{mbp}$ | Minimal bending radius during cable pulling | m |
| $r_{mbpf}$ | Factor of minimal pulling bending radius | |
| $r_{o}$ | Radius of object | m |
| $R_{q11}$ | Thermal resistance 11 of multi-layer backfill | K.m/W |
| $R_{q12}$ | Thermal resistance 12 of multi-layer backfill | K.m/W |
| $R_{q13}$ | Thermal resistance 13 of multi-layer backfill | K.m/W |
| $R_{q21}$ | Thermal resistance 21 of multi-layer backfill | K.m/W |
| $R_{q22}$ | Thermal resistance 22 of multi-layer backfill | K.m/W |
| $R_{q31}$ | Thermal resistance 31 of multi-layer backfill | K.m/W |
| $R_{q32}$ | Thermal resistance 32 of multi-layer backfill | K.m/W |
| $R_{s}$ | Electrical resistance of screen$||$sheath | $\Omega$/m |
| $R_{sc}$ | Electrical resistance of screen | $\Omega$/m |
| $R_{sh}$ | Electrical resistance of sheath | $\Omega$/m |
| $R_{so}$ | Resistance of screen and sheath at 20°C | $\Omega$/m |
| $R_{sp}$ | Electrical resistance of steel pipe | $\Omega$/m |
| $r_{x}$ | Radius to point x in insulation | mm |
| $\mathrm{Ra}_{c}$ | Rayleigh number, conductor to gas | |
| $\mathrm{Ra}_{encl}$ | Rayleigh number, gas to enclosure | |
| $\mathrm{Ra}_{gas}$ | Rayleigh number gas/duct | |
| $\mathrm{Ra}_{L}$ | Rayleigh number, ground to air | |
| $\mathrm{Ra}_{prot}$ | Rayleigh number, surface to air | |
| $\mathrm{Re}_{air}$ | Reynolds number for air | |
| $\mathrm{Re}_{w}$ | Reynolds number for water | |
| $RF$ | Reduction factor | |
| $\rho_{4}$ | Thermal resistivity of soil | K.m/W |
| $\rho_{4d}$ | Thermal resistivity of dry soil | K.m/W |
| $\rho_{ab}$ | Thermal resistivity of armour bedding | K.m/W |
| $\rho_{ab_{2}}$ | Thermal resistivity of bedding between armour layers | K.m/W |
| $\rho_{ar}$ | Specific electrical resistivity of armour material | $\Omega$.m |
| $\rho_{b}$ | Thermal resistivity backfill | K.m/W |
| $\rho_{b1}$ | Thermal resistivity of surface layer | K.m/W |
| $\rho_{b2}$ | Thermal resistivity of middle layer | K.m/W |
| $\rho_{c}$ | Electrical resistivity of conductor material | $\Omega$.m |
| $\rho_{corr}$ | Thermal resistivity of corrugation filling | K.m/W |
| $\rho_{cr}$ | Thermal resistivity of conductor material | K.m/W |
| $\rho_{d}$ | Thermal resistivity of duct material | K.m/W |
| $\rho_{d_{fill}}$ | Thermal resistivity of bentonite filling | K.m/W |
| $\rho_{earth}$ | Specific electrical resistivity of soil | $\Omega$.m |
| $\rho_{encl}$ | Specific electrical resistivity of enclosure material | $\Omega$.m |
| $\rho_{f}$ | Thermal resistivity of filler | K.m/W |
| $\rho_{gas}$ | Gas density | kg/m$^3$ |
| $\rho_{i}$ | Thermal resistivity of insulation | K.m/W |
| $\rho_{j}$ | Thermal resistivity of jacket material | K.m/W |
| $\rho_{k2}$ | Thermal resistivity of the layer located above | K.m/W |
| $\rho_{k20}$ | Electrical resistivity of metallic component | $\Omega$.m |
| $\rho_{k3}$ | Thermal resistivity of the layer located below | K.m/W |
| $\rho_{ki}$ | Thermal resistivity of adjacent material | K.m/W |
| $\rho_{m}$ | Thermal resistivity of the screen | K.m/W |
| $\rho_{sc}$ | Specific electrical resistivity of screen material | $\Omega$.m |
| $\rho_{scb}$ | Thermal resistivity of screen bedding | K.m/W |
| $\rho_{scs}$ | Thermal resistivity of screen serving | K.m/W |
| $\rho_{sh}$ | Specific electrical resistivity of sheath material | $\Omega$.m |
| $\rho_{shj}$ | Thermal resistivity of sheath jacket material | K.m/W |
| $\rho_{sp}$ | Specific electrical resistivity of steep pipe material | $\Omega$.m |
| $\rho_{t}$ | Thermal resistivity of wall | K.m/W |
| $\rho_{w}$ | Density of water | kg/m$^3$ |
| S | $s_{air}$ | Axial spacing between objects | m |
| $s_{b1}$ | Thickness of surface layer | m |
| $s_{b2}$ | Thickness of middle layer | m |
| $s_{b3}$ | Thickness from object to top of bedding layer | m |
| $s_{b4}$ | Thickness from object to bottom of bedding layer | m |
| $s_{c}$ | Separation of conductors in a system | mm |
| $s_{cm}$ | Separation of conductors in a system | m |
| $S_{G}$ | Apparent power at injecting point | kVA |
| $S_{gas}$ | Sutherland's constant | K |
| $s_{ij}$ | Spacing between object i and j | |
| $S_{k}$ | Cross-sectional area of current carrying component | mm$^2$ |
| $s_{S1}$ | Spacing between phases in 1st section | p.u. |
| $s_{S2}$ | Spacing between phases in 2nd section | p.u. |
| $s_{S3}$ | Spacing between phases in 3rd section | p.u. |
| $SI$ | Surge Impedance | $\Omega$ |
| $\sigma$ | Stefan Boltzmann constant | W/m$^2$K$^4$ |
| $\sigma_{ab}$ | Volumetric heat capacity of armour bedding | J/K.m$^3$ |
| $\sigma_{ab_{2}}$ | Volumetric heat capacity of bedding between armour layers | J/K.m$^3$ |
| $\sigma_{ar}$ | Volumetric heat capacity of armour material | J/K.m$^3$ |
| $\sigma_{c}$ | Volumetric heat capacity of conductor material | J/K.m$^3$ |
| $\sigma_{d}$ | Volumetric heat capacity of duct material | J/K.m$^3$ |
| $\sigma_{d_{fill}}$ | Volumetric heat capacity of duct filling | J/K.m$^3$ |
| $\sigma_{encl}$ | Volumetric heat capacity of enclosure material | J/K.m$^3$ |
| $\sigma_{f}$ | Volumetric heat capacity of filler | J/K.m$^3$ |
| $\sigma_{fluid}$ | Volumetric heat capacity of fluid | J/K.m$^3$ |
| $\sigma_{i}$ | Volumetric heat capacity of insulation material | J/K.m$^3$ |
| $\sigma_{ins}$ | Volumetric heat capacity of insulation | J/K.m$^3$ |
| $\sigma_{j}$ | Volumetric heat capacity of jacket material | J/K.m$^3$ |
| $\sigma_{k2}$ | Specific isobaric volumetric heat capacity of layer located below | J/K.m$^3$ |
| $\sigma_{k3}$ | Volumetric heat capacity of layer located above | J/K.m$^3$ |
| $\sigma_{kc}$ | Volumetric heat capacity of metallic component | J/K.m$^3$ |
| $\sigma_{ki}$ | Volumetric heat capacity of adjacent material | J/K.m$^3$ |
| $\sigma_{pipe}$ | Volumetric heat capacity of fluid-filled pipe | J/K.m$^3$ |
| $\sigma_{prot}$ | Specific isobaric volumetric heat capacity of protective cover | J/K.m$^3$ |
| $\sigma_{sc}$ | Volumetric heat capacity of screen material | J/K.m$^3$ |
| $\sigma_{scb}$ | Volumetric heat capacity of screen bedding | J/K.m$^3$ |
| $\sigma_{scs}$ | Volumetric heat capacity of screen serving | J/K.m$^3$ |
| $\sigma_{sh}$ | Volumetric heat capacity of sheath material | J/K.m$^3$ |
| $\sigma_{shj}$ | Volumetric heat capacity of sheath jacket material | J/K.m$^3$ |
| $\sigma_{sp}$ | Volumetric heat capacity of steel pipe material | J/K.m$^3$ |
| $\sigma_{sun}$ | Absorption coefficient of solar radiation | |
| T | $T0_{gas}$ | Gas reference temperature | K |
| $T_{1}$ | Thermal resistance between one conductor and sheath | K.m/W |
| $t_{1}$ | Thickness of insulation to sheath | mm |
| $t_{1t}$ | Thickness of insulation to sheath, transient | mm |
| $T_{2}$ | Thermal resistance between sheath and armour | K.m/W |
| $t_{2}$ | Thickness of bedding under armour | mm |
| $T_{2_{1}}$ | Thermal resistance of 1st armour bedding | K.m/W |
| $T_{2_{2}}$ | Thermal resistance of 2nd armour bedding | K.m/W |
| $t_{2i}$ | Thickness of insulation between conductors | mm |
| $T_{3}$ | Thermal resistance of jacket | K.m/W |
| $t_{3}$ | Thickness of serving over armour | mm |
| $T_{4d}$ | Transient thermal resistance for daily load | K.m/W |
| $T_{4db}$ | Correction of thermal resistance for backfill | K.m/W |
| $T_{4i}$ | Thermal resistance of medium in the duct | K.m/W |
| $T_{4ii}$ | Thermal resistance of the duct wall | K.m/W |
| $T_{4iii}$ | Thermal resistance to ambient | K.m/W |
| $T_{4\mu}$ | Thermal resistance to ambient | K.m/W |
| $T_{4ss}$ | Steady-state thermal resistance | K.m/W |
| $T_{4t}$ | Equivalent thermal resistance for tunnel | K.m/W |
| $T_{4w}$ | Transient thermal resistance for weekly load | K.m/W |
| $T_{4y}$ | Transient thermal resistance for yearly load | K.m/W |
| $T_{A}$ | Element A of equivalent thermal circuit | K.m/W |
| $T_{a}$ | Star thermal resistance of air | K.m/W |
| $T_{a0}$ | Apparent thermal resistance a | K.m/W |
| $t_{ab_{1}}$ | Thickness of 1st armour bedding | mm |
| $T_{ab_{1}}$ | Thermal resistance of 1st armour bedding | K.m/W |
| $t_{ab_{2}}$ | Thickness of armour separation | mm |
| $T_{ab_{2}}$ | Thermal resistance of 2nd armour bedding | K.m/W |
| $T_{air}$ | Absolute air temperature | K |
| $T_{at}$ | Thermal resistance by convection, air to tunnel | K.m/W |
| $T_{axial}$ | Axial thermal resistance due to the movement of air through the tunnel | K.m/W |
| $T_{B}$ | Element B of equivalent thermal circuit | K.m/W |
| $T_{b0}$ | Apparent thermal resistance b | K.m/W |
| $T_{bulk}$ | Bulk temperature | K |
| $t_{c}$ | Thickness of hollow conductor | mm |
| $T_{C}$ | Element C of equivalent thermal circuit | K.m/W |
| $t_{comp}$ | Thickness of compartment | mm |
| $T_{conv_{ce}}$ | Thermal resistance by convection, conductor to enclosure | K.m/W |
| $T_{conv_{sa}}$ | Thermal resistance by convection, surface to air | K.m/W |
| $t_{corr}$ | Thickness of corrugation filling | mm |
| $t_{cs}$ | Thickness of conductor shield | mm |
| $t_{ct}$ | Thickness of conductor tape | mm |
| $T_{d}$ | Internal thermal resistance for dielectric losses | K.m/W |
| $t_{d}$ | Thickness of duct | mm |
| $T_{e}$ | External thermal resistance of tunnel | K.m/W |
| $t_{EMF}$ | Time step to calculate current source | s |
| $t_{encl}$ | Thickness of enclosure | mm |
| $T_{eq}$ | Equivalent thermal resistance | K.m/W |
| $t_{f}$ | Thickness of filler/belt insulation | mm |
| $T_{gas}$ | Absolute gas temperature | K |
| $T_{i}$ | Thermal resistance of insulation | K.m/W |
| $t_{i}$ | Thickness of insulation | mm |
| $t_{icore}$ | Thickness of core insulation | mm |
| $t_{ins}$ | Thickness of insulation | mm |
| $T_{ins}$ | Thermal resistance of insulation | K.m/W |
| $T_{int}$ | Internal thermal resistance for current losses | K.m/W |
| $t_{is}$ | Thickness of insulation screen | mm |
| $T_{is}$ | Thermal resistance of insulation screen | K.m/W |
| $t_{j}$ | Thickness of jacket | mm |
| $T_{j}$ | Thermal resistance of jacket | K.m/W |
| $t_{jj}$ | Thickness of additional layer over jacket | mm |
| $T_{jtube}$ | Thermal resistance of J-tubes in air | K.m/W |
| $t_{k}$ | Duration of short-circuit | s |
| $T_{L}$ | Thermal longitudinal resistance | K.m/W |
| $T_{mh}$ | Mutual thermal resistance between rated and crossing object | K.m/W |
| $T_{mh_{v}}$ | Mutual thermal resistance per slice | K.m/W |
| $T_{o}$ | Thermal resistance of the oil in the pipe | K.m/W |
| $T_{platform}$ | Thermal resistance of individual phases on platform | K.m/W |
| $t_{prot}$ | Thickness of protective cover | mm |
| $T_{prot}$ | Thermal resistance of protective cover | K.m/W |
| $T_{r}$ | Total thermal resistance | K.m/W |
| $T_{rad_{ce}}$ | Radiation thermal resistance, conductor to enclosure | K.m/W |
| $T_{rad_{sa}}$ | Radiation thermal resistance, surface to air | K.m/W |
| $T_{rad_{sun}}$ | Solar radiation thermal resistance | K.m/W |
| $T_{s}$ | Star thermal resistance of object | K.m/W |
| $T_{sa}$ | Thermal resistance by convection, surface to air | K.m/W |
| $t_{sc}$ | Thickness of the screen | mm |
| $t_{scb}$ | Thickness of screen bedding | mm |
| $T_{scb}$ | Thermal resistance of screen bedding | K.m/W |
| $t_{scs}$ | Thickness of screen serving | mm |
| $T_{scs}$ | Thermal resistance of screen bedding | K.m/W |
| $t_{sh}$ | Thickness of the sheath | mm |
| $t_{sha}$ | Total thickness between separate sheath and armour | |
| $t_{shj}$ | Thickness of sheath jacket | mm |
| $T_{shj}$ | Thermal resistance of sheath jacket | K.m/W |
| $t_{sp}$ | Thickness of steel pipe | mm |
| $T_{st}$ | Radiation thermal resistance, surface to tunnel | K.m/W |
| $T_{surf}$ | Absolute surface temperature | K |
| $t_{t}$ | Wall thickness | m |
| $T_{t}$ | Star thermal resistance of tunnel | K.m/W |
| $T_{tot}$ | Total thermal resistance, transient | K.m/W |
| $T_{tr}$ | Thermal resistance of trough | K.m/W |
| $T_{tw}$ | Thermal resistance of tunnel wall | K.m/W |
| $T_{wall}$ | Thermal resistance of pipe wall | K.m/W |
| $T_{water}$ | Thermal resistance of J tubes below sea level | K.m/W |
| $\mathrm{tan}\delta _{i}$ | Loss factor of insulation | |
| $\tau$ | Transient load period | s |
| $\tau_{L}$ | Transient load period for deep burial | s |
| $\theta_{2K}$ | Temperature rise for 2K criterion | °C |
| $\theta_{a}$ | Ambient temperature | °C |
| $\theta_{abs}$ | Absolute temperature | K |
| $\theta_{air}$ | Ambient air temperature | °C |
| $\theta_{ar}$ | Temperature of armour | °C |
| $\theta_{ar_{1}}$ | Temperature of 1st armour | °C |
| $\theta_{ar_{2}}$ | Temperature of 2nd armour | °C |
| $\theta_{at}$ | Air temperature with load | °C |
| $\theta_{at_{0}}$ | Air temperature with no load | °C |
| $\theta_{at_{i}}$ | Air temperature of previous iteration cycle | °C |
| $\theta_{at_{L}}$ | Air temperature in tunnel at outlet | °C |
| $\theta_{at_{z}}$ | Air temperature in tunnel at z | °C |
| $\theta_{c}$ | Temperature of conductor | °C |
| $\theta_{c_{z}}$ | Conductor temperature at z | °C |
| $\theta_{cmax}$ | Max. conductor temperature | °C |
| $\theta_{cmaxeo}$ | Max. emergency overload conductor temperature | °C |
| $\theta_{cmaxsc}$ | Max. short-circuit conductor temperature | °C |
| $\theta_{de}$ | Temperature of duct outer wall | °C |
| $\theta_{di}$ | Temperature of duct inner wall | °C |
| $\theta_{dm}$ | Mean temperature of the medium in the duct | °C |
| $\theta_{e}$ | External temperature of the object | °C |
| $\theta_{encl}$ | Temperature of enclosure | °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 |
| $\theta_{hs}$ | Temperature of heat source | °C |
| $\theta_{kf}$ | Final temperature | °C |
| $\theta_{ki}$ | Initial temperature | °C |
| $\theta_{kmax}$ | Maximal temperature of non-insulation material | °C |
| $\theta_{max}$ | Temperature of conductor at end of emergency loading | °C |
| $\theta_{o}$ | Outer surface temperature | °C |
| $\theta_{o_{L}}$ | Temperature of the surface of object at outlet | °C |
| $\theta_{o_{z}}$ | Temperature of the surface of object at z | °C |
| $\theta_{omax}$ | Max. outer surface temperature | °C |
| $\theta_{R}$ | Rated current transient to steady-state ratio | |
| $\theta_{s}$ | Temperature of screen/sheath | °C |
| $\theta_{sc}$ | Temperature of screen | °C |
| $\theta_{sh}$ | Temperature of sheath | °C |
| $\theta_{sp}$ | Temperature of steel pipe | °C |
| $\theta_{spf}$ | Mean temperature of the medium in the steel pipe | °C |
| $\theta_{surf}$ | Surface temperature | °C |
| $\theta_{t}$ | Temperature of inner tunnel wall | °C |
| $\theta_{t_{L}}$ | Temperature of tunnel wall at outlet | °C |
| $\theta_{t_{z}}$ | Temperature of tunnel wall at z | °C |
| $\theta_{tm}$ | Mean temperature between surface and air in tunnel or trough | °C |
| $\theta_{to}$ | Temperature of outer tunnel wall | °C |
| $\theta_{to_{z}}$ | Temperature of outer tunnel wall at z | °C |
| $\theta_{w}$ | Water temperature | °C |
| $\theta_{x}$ | Critical soil temperature | °C |
| $TQ$ | Cable thermal time constant | s |
| U | $u$ | Substitution coefficient u | |
| $U_{0}$ | Base voltage for tests | kV |
| $u_{b}$ | Substitution coefficient u | |
| $U_{buried}$ | OHTC of fully buried pipe | W/(K.m$^2$) |
| $U_{d}$ | Constant U for cables in ducts | K.m/W |
| $U_{e}$ | Line-to-ground voltage | kV |
| $U_{exposed}$ | OHTC of part of pipe in contact with water | W/(K.m$^2$) |
| $U_{ground}$ | OHTC of part of pipe in contact with ground | W/(K.m$^2$) |
| $U_{inwall}$ | OHTC of inside film and pipe wall | W/(K.m$^2$) |
| $U_{m}$ | Highest voltage for equipment | kV |
| $U_{n}$ | Rated line-to-line voltage | kV |
| $U_{o}$ | Operating voltage | kV |
| $U_{OHTC}$ | Overall heat transfer coefficient | W/(K.m$^2$) |
| $U_{partially}$ | OHTC of partially buried pipe | W/(K.m$^2$) |
| $U_{sp}$ | Constant U for pipe-type cables | K.m/W |
| $U_{ti}$ | Circumference of inner rectangular tunnel wall | m |
| $U_{wall}$ | OHTC of pipe wall | W/(K.m$^2$) |
| V | $v_{4}$ | Ratio thermal resistivity dry/moist soil | |
| $V_{air}$ | Air velocity | m/s |
| $V_{comp}$ | Gas volume | m$^3$ |
| $V_{d}$ | Constant V for cables in ducts | K.m/W |
| $V_{drop}$ | Voltage drop | V/A/km |
| $V_{fluid}$ | Velocity of fluid | cm/s |
| $V_{gas}$ | Volume percentage of second gas | $\%$ |
| $V_{sp}$ | Constant V for pipe-type cables | K.m/W |
| $V_{w}$ | Velocity of water | cm/s |
| W | $W_{A}$ | Armour losses | W/m |
| $W_{a_{L}}$ | Heat removed by air at outlet | W/m |
| $W_{a_{z}}$ | Heat removed by air at z | W/m |
| $w_{b}$ | Width of the backfill | mm |
| $w_{b4}$ | Distance to lateral edge of multi-layer backfill | m |
| $W_{c}$ | Conductor losses | W/m |
| $W_{conv_{ce}}$ | Convection heat transfer, conductor to enclosure | W/m |
| $W_{conv_{da}}$ | Convection heat transfer, duct to air | W/m |
| $W_{conv_{gd}}$ | Convection heat transfer, gas to duct | W/m |
| $W_{conv_{od}}$ | Convection heat transfer, object to duct | W/m |
| $W_{conv_{og}}$ | Convection heat transfer, object to gas | W/m |
| $W_{conv_{sa}}$ | Convection heat transfer, surface to air | W/m |
| $W_{d}$ | Dielectric losses | W/m |
| $W_{de}$ | Losses outside of riser/J-tube | W/m |
| $W_{di}$ | Losses between cable and riser/J-tube | W/m |
| $W_{duct}$ | Losses in duct | W/m |
| $W_{encl}$ | Enclosure losses | W/m |
| $w_{f_{1}}$ | Width of flat wires of 1st armour | mm |
| $w_{f_{2}}$ | Width of flat wires of 2nd armour | mm |
| $W_{h}$ | Heat generated by external object | W/m |
| $W_{hs}$ | Heat dissipation of heat source | W/m |
| $W_{I}$ | Ohmic losses per phase | W/m |
| $W_{rad_{ce}}$ | Radiation heat transfer, conductor to enclosure | W/m |
| $W_{rad_{da}}$ | Radiation heat transfer, duct to air | W/m |
| $W_{rad_{od}}$ | Radiation heat transfer, object to duct | W/m |
| $W_{rad_{sa}}$ | Radiation heat transfer, surface to air | W/m |
| $W_{s}$ | Screen and sheath losses | W/m |
| $W_{sA}$ | Total loss in sheath and armour | W/m |
| $W_{sA_{1}}$ | Total loss in sheath and 1st armour | W/m |
| $W_{sA_{2}}$ | Total loss in sheath and 2nd armour | W/m |
| $w_{sc}$ | Width of flat screen wire | mm |
| $W_{sp}$ | Losses in steel pipe | W/m |
| $W_{sum}$ | Sum of total losses of all systems | W/m |
| $W_{sun}$ | Solar radiation heat transfer to surface | W/m |
| $W_{sys}$ | Total losses of the system | W/m |
| $W_{t}$ | Total losses per phase | W/m |
| $w_{t}$ | Inner width | m |
| $W_{tot}$ | Total losses per object | W/m |
| X | $X_{0}$ | Zero sequence reactance | $\Omega$/m |
| $x_{b}$ | Horizontal center of backfill | mm |
| $X_{c}$ | Self reactance of conductor | $\Omega$/m |
| $X_{G}$ | Factor $X_G$ | |
| $X_{G2}$ | Factor $X_{G2}$ | |
| $X_{K}$ | Factor $X_K$ | |
| $X_{m}$ | Mutual reactance between cables | $\Omega$/m |
| $x_{p}$ | Factor for proximity effect of conductors | |
| $x_{pos}$ | Horizontal x-position of multi-layer backfill | m |
| $x_{s}$ | Factor for skin effect on conductor | |
| $X_{s}$ | Self reactance of screen/sheath | $\Omega$/m |
| $X_{S1}$ | Reactance section 1 | $\Omega$/m |
| $X_{S2}$ | Reactance section 2 | $\Omega$/m |
| $X_{S3}$ | Reactance section 3 | $\Omega$/m |
| $\xi_{cb}$ | Parameter $\xi$ for calculation of loss factor | |
| Y | $Y$ | Admittance | S/m |
| $y_{2K}$ | Depth for 2K criterion | mm |
| $y_{c}$ | Skin and proximity effect factor for GIL conductor | |
| $Y_{d}$ | Constant Y for cables in ducts | K.m/W |
| $y_{encl}$ | Skin and proximity effect factor for GIL enclosure | |
| $Y_{G}$ | Factor $Y_G$ | |
| $Y_{i}$ | Ordinates of the loss-load cycle | p.u. |
| $Y_{K}$ | Factor $Y_K$ | |
| $y_{p}$ | Proximity effect factor of conductors | |
| $y_{s}$ | Skin effect factor of conductor | |
| $Y_{sp}$ | Constant Y for pipe-type cables | K.m/W |
| Z | $Z_{0}$ | Zero sequence impedance | $\Omega$/m |
| $Z_{bs}$ | Installation constant Z | |
| $Z_{c}$ | Self impedance of phase conductor | $\Omega$/m |
| $z_{c}$ | Factor z to calculate skin effect coefficients for conductor | |
| $z_{encl}$ | Factor z to calculate skin effect coefficients for enclosure | |
| $z_{h}$ | Location of the heat source | m |
| $Z_{K}$ | Factor $Z_K$ | |
| $Z_{m}$ | Mutual impedance between conductor and metal screen | $\Omega$/m |
| $z_{max}$ | Logitudinal thermal limit distance | m |
| $Z_{neg}$ | Negative sequence impedance | $\Omega$/m |
| $Z_{pos}$ | Positive sequence impedance | $\Omega$/m |
| $z_{r}$ | Location of the hottest point | m |
| $Z_{s}$ | Self impedance of metal screen | $\Omega$/m |
| $Z_{x}$ | Equivalent mutual impedance between cables | $\Omega$/m |
| $\zeta_{ab}$ | Density of armour bedding material | g/cm$^3$ |
| $\zeta_{ar}$ | Density of armour material | g/cm$^3$ |
| $\zeta_{c}$ | Density of conductor material | g/cm$^3$ |
| $\zeta_{f}$ | Density of filler material | g/cm$^3$ |
| $\zeta_{i}$ | Density of insulation material | g/cm$^3$ |
| $\zeta_{j}$ | Density of jacket material | g/cm$^3$ |
| $\zeta_{M}$ | Density of material | g/cm$^3$ |
| $\zeta_{od}$ | Radiation shape factor for touching cables | |
| $\zeta_{sc}$ | Density of metallic screen material | g/cm$^3$ |
| $\zeta_{scb}$ | Density of screen bedding tapes | g/cm$^3$ |
| $\zeta_{scs}$ | Density of screen serving tapes | g/cm$^3$ |
| $\zeta_{sh}$ | Density of metallic sheath material | g/cm$^3$ |
| $\zeta_{shj}$ | Density of jacket material over each core | g/cm$^3$ |
| $\zeta_{soil}$ | Soil density | kg/m$^3$ |