Jb. Kuang et Sa. Boggs, THERMAL-ELECTRIC FIELD DISTRIBUTION AROUND A DEFECT IN POLYETHYLENE, IEEE transactions on power delivery, 13(1), 1998, pp. 23-27
In the presence of a stress enhancement, a lightning surge causes spac
e charge formation and power dissipation which can result in substanti
al temperature rise in the dielectric. Poisson's equation and the ther
mal diffusion equation have been solved in 2D with field-dependent mat
erial parameters to compute temperature rises of over 80 K during a 10
0 ns risetime surge which produces a background field of 40 kV/mm appl
ied to a 100 mu m protrusion with a 0.5 mu m tip radius. Such a temper
ature rise could play a major role in the lightning-induced conversion
of water trees to electrical trees.