Mathematical Modeling of Critical Parameters on the Polluted Ceramic Insulators Under AC Voltage: Based on Experimental Tests

In this paper, a mathematical model of critical parameters on the polluted ceramic insulators based on experimental analysis has been presented. In these cases, the effect of pollution and humidity on the leakage current and applied voltage of the insulators has been investigated. Also, the effect of the insulator shed on the critical parameters has been considered as the factor M. The profile factor M is the ratio of top level leakage distance to bottom leakage distance of insulator. Indeed, the value of the factor M has been defined as a criterion in experimental tests to determine the insulators' electric strength. As well, to determine the constants of electric arc, the theoretical and experimental results have been compared, thus values of these constants have been determined. So, by presented mathematical model the critical parameters will be predicted. The closeness of results between proposed mathematical model and experiment confirms the veracity of the presented model.