Eur. Phys. J. Plus (2015) 130: 244
https://doi.org/10.1140/epjp/i2015-15244-8

Regular Article

A new theoretical formulation of coupling thermo-electric breakdown in LDPE film under dc high applied fields

Laboratoire des matériaux composites céramiques et polymères (LaMaCoP), Faculté des sciences de Sfax, BP 805, 3000, Sfax, Tunisia

^* e-mail: fatmaboughariou@gmail.com

Received: 11 August 2015
Accepted: 16 October 2015
Published online: 7 December 2015

Abstract

In this paper, we present a new theoretical and numerical formulation for the electrical and thermal breakdown phenomena, induced by charge packet dynamics, in low-density polyethylene (LDPE) insulating film under dc high applied field. The theoretical physical formulation is composed by the equations of bipolar charge transport as well as by the thermo-electric coupled equation associated for the first time in modeling to the bipolar transport problem. This coupled equation is resolved by the finite-element numerical model. For the first time, all bipolar transport results are obtained under non-uniform temperature distributions in the sample bulk. The principal original results show the occurring of very sudden abrupt increase in local temperature associated to a very sharp increase in external and conduction current densities appearing during the steady state. The coupling between these electrical and thermal instabilities reflects physically the local coupling between electrical conduction and thermal joule effect. The results of non-uniform temperature distributions induced by non-uniform electrical conduction current are also presented for several times. According to our formulation, the strong injection current is the principal factor of the electrical and thermal breakdown of polymer insulating material. This result is shown in this work. Our formulation is also validated experimentally.