The flashover of polluted insulators has been the subject of many experimental and numerical research papers. Several mathematical models of the flashover voltage have been proposed according to the current, the discharge length, the electrolyte length and the resistivity. However, there is no model based on the geometric factors of the electrolyte channel and their interaction, such as the width and the depth. Furthermore, as a very few research papers about the discharge elongation in the presence of a metal object between the electrodes have been published, the aim of the present work is the modeling of the flashover voltage in the presence of a metal plate, dipped in the electrolyte or placed on its surface. Two mathematical models were obtained using response surface modeling technique, which were used for the analysis of the geometric factors effect on the flashover discharge.
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