Cableizer ®

Increment of volumetric density of dielectric losses in HVDC cables

Symbol
$\Delta w_{d}$
Unit
W/m$^3$
Formulas
$\left(\frac{r}{r_{osc}}\right)^{2\left(\delta_{i}-1\right)} e^{\alpha_{i} \left(a_{i} \left(r^2-{r_{isc}}^2\right)+\frac{\Delta \theta_{i}-a_{i} \left({r_{isc}}^2-{r_{osc}}^2\right)}{r_{isc}-r_{osc}} \left(r-r_{isc}\right)+\theta_{c}\right)+\gamma_{i} \frac{{\delta_{i}}^2 {U_{o}}^2 \left(\frac{r}{r_{osc}}\right)^{\delta_{i}-1}}{r_{osc} \left(1-\left(\frac{r_{isc}}{r_{osc}}\right)^{\delta_{i}}\right)}}$
Related
$a_{i}$
Parameter a for radial derivative of dielectric losses
$\alpha_{i}$
Temperature coefficient of conductivity insulation material [1/K]
$\delta_{i}$
Electrical thickness of insulation material [m]
$\Delta \theta_{i}$
Temperature difference insulation [K]
$\gamma_{i}$
Electrical field coefficient insulation material [mm/kV]
$r_{isc}$
Radius above the inner semi-conducting layer [mm]
$r_{osc}$
Radius over capacitive insulation layers [mm]
$\theta_{c}$
Temperature conductor [°C]
$U_{o}$
Operating voltage [kV]
$w_{d}$
Volumetric density of dielectric losses [W/m$^3$]
Used in
$W_{d,DC}$
Dielectric losses in HVDC cables [W/m]