ZnO nonlinear dielectric has a small temperature coefficient of conductivit
y up to about 550 C, and above 550 C the temperature coefficient of conduct
ivity becomes substantially positive which tends to result in thermal runaw
ay through condensation of the current density into filaments which "melt"
their way through the ceramic. Thus to obtain maximum energy absorption in
a ZnO element, it is important to avoid hot spots so that the element will
heat quite uniformly to its maximum stable operating temperature in the ran
ge of 550 C, The current density at the electrode edge is enhanced by sprea
ding of the current into the ZnO at radii larger than the electrode. This c
auses an enhanced temperature at the electrode edge which results in the "m
elting punctures" commonly observed. Using transient, nonlinear finite elem
ent analysis with coupled thermal and electric fields, eve have quantified
the temperature enhancement as a function of edge margin and optimized the
electrode topology.