*Article* **Modelling Surface Electric Discharge Propagation on Polluted Insulators under AC Voltage**

**Mohamed Lamine Amrani 1, Slimane Bouazabia 1, Issouf Fofana 2,\*, Fethi Meghnefi 2, Marouane Jabbari 2, Djazia Khelil 1 and Amina Boudiaf 1**


**Abstract:** In this contribution, a mathematical model allowing for the prediction of the AC surface arc propagation on polluted insulators under non-uniform electric field is proposed. The approach is based on the experimental concept of Claverie and Porcheron. The proposed model, which makes it possible to reproduce the surface electric discharge, includes a condition for arrest of the propagating discharge. The electric field at the tip of the discharge is the key parameter governing its random propagation. A finite element approach allows for mapping of the electric field distribution while the discharge propagation process is simulated in two dimensions. The voltage drop along the arc discharge path at each propagation step is also taken into account. The simulation results are validated against experimental data, taking into account several electro-geometric parameters (distance between electrodes, pollution conductivity, radius of high-voltage electrode, length of the plane electrode). Good agreemen<sup>t</sup> between computed and experimental results were obtained for various test configurations.

**Keywords:** pollution; flashover; inception voltage; arc propagation; finite element method (FEM)
