Over the years, several mathematical models have been proposed for predicting the critical withstand voltage of polluted insulators, mainly based on the static arc voltage-gradient equation of the type E = Ai−n. The paper proposes a new mathematical model which is based on a dynamic arc voltage-gradient equation. Comparison of computed results with the results obtained from other mathematical models, as well as experiments, indicates a good agreement in respect of individual suspensiondisc insulators. However, some disparity is observed in respect of long-rod insulators.
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Gopal et al. (1984) studied this question.