Volumetric density of dielectric losses

Refernce is made to Zbigniew Nadolny 'Electric Field Distribution and Dielectric Losses in XLPE Insulation and Semiconductor Screens of High-Voltage Cables', 2022 ().

Symbol
$w_d$
Unit
W/m$^3$
Formulae
${E_i}^2 \omega \epsilon_0 \epsilon_i \mathrm{tan} \delta$General equation(Nadolny2022)
${E_i}^2 \kappa_i$General equation(Ohm's law)
$\frac{{\delta_i}^2 {U_o}^2 \left(\frac{r}{r_{osc}}\right)^{2\left(\delta_i-1\right)}}{{r_{osc}}^2 \left(1-\left(\frac{r_{isc}}{r_{osc}}\right)^{\delta_i}\right)^2} \kappa_i e^{\alpha_i \theta_i+\gamma_i E_i}$rewritten using $\alpha$ and $\kappa$