Modeling relative permittivity and electrical treeing in polymer nanocomposites

The interfaces, that are formed between the nanoparticles and the polymer in a polymer nanocomposite, are constituted from layers, which have different structure and characteristics than the polymer matrix. The role of interfaces in determining the dielectric properties is dominant, especially as interfaces of neighboring nanoparticles start to interact due to overlapping. This paper intents to model and determine the distribution of relative permittivity in a polymer nanocomposite. The calculation of the interface relative permittivity is based on the layers thickness and the exponential function. The layers thickness is determined by the multi-core model. Additionally, the electrical treeing in polymer nanocomposites is also modeled and the role of nanoparticles relative permittivity in treeing propagation is also discussed.