A model for calculating thickness and surface conductivity of water film on an inclined insulator string


It is well-known that the presence of a highly conductive water film over ice-lined insulator may be a necessity to create native violet arcs across air gaps. This paper develops a model for calculation the thickness and surface conductivity of the water film shaped over ice-lined insulators due to Joule heating effect. Completely different conductivities for water film layers are thought of within the model mainly due to the rejection of impurities to the ice surface during the solidification method. The continuity equation and also the Navier-Stokes equations of motion for the water film flowing down an inclined insulator string due to gravity are used to obtain the rate distribution. Water film thickness of and ice layer melting time are determined by taking into consideration the warmth flux at the inclined plane because of the viscous dissipation and Joule heating and by assuming a quasi-steady-state model. In addition, the influence of angle of inclination on thickness and surface conductivity of water film was studied. The model is integrated with a static arc model for flashover voltage prediction to enhance its capability to be used for inclined insulator strings and its accuracy compared to present models.

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