Abstract

This paper investigates the influence of arc velocity and propagation criteria on the parameters of a dynamic numerical mono-arc model used to predict flashover voltage of ice-covered insulators. For that purpose, a generic algorithm has been developed which, coupled with a Finite Element commercial software, permits us to solve the mono-arc Obenaus equation. The versatility of the proposed algorithm allows to implement three different arc propagation criteria and five different arc velocity criteria, as well as to compute the corresponding flashover voltage, arc velocity and leakage current. Moreover, this algorithm permits to propose a new arc velocity criterion based on numerical calculation instead of analytical formulation as proposed in literature.

Highlights

  • Flashover on outdoor insulation caused by atmospheric icing and consequent power outages caused by contaminated ice or snow has been reported by a number of researchers around the world over the last five decades [1,2,3,4,5,6,7,8,9,10,11]

  • Thanks to the development of a generic calculation algorithm coupled to a commercial finite element software, it was possible to develop a new dynamic numerical mono-arc model to simulate the final stage of the flashover process of ice-covered insulators

  • Using the finite element method, it was possible to avoid the problem of analytical formulation for residual resistance calculation, which can only be applied to simple geometries

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Summary

Introduction

Flashover on outdoor insulation caused by atmospheric icing and consequent power outages caused by contaminated ice or snow has been reported by a number of researchers around the world over the last five decades [1,2,3,4,5,6,7,8,9,10,11]. The FOV results obtained with the initial numerical predictive mono-arc model demonstrated very good accuracy compared to other ice-covered mathematical flashover models [33] This numerical model was improved by implementing an arc velocity criterion based on the Gallimberti formulation [35] used in several mathematical predictive models dedicated to polluted and ice-covered insulators. The new dynamic numerical mono-arc model has provided more accurate FOV results for both ice-covered and polluted insulators [26,27] As this dynamic mono-arc model was developed around two unique criteria of arc propagation (Hampton) and arc velocity (Gallimberti), it becomes difficult to evaluate the stability of the calculation algorithm and its accuracy regarding the choice of other criteria available in the literature. A new formulation of the arc velocity criterion based on numerical calculation was developed and implemented in order to be applicable to complex geometries, which would be impossible with the actual analytical formulations available in the literature

Assumptions Used for Numerical Modelling
Modelling a uniform ice-covered insulator of diameter distance
Arc Velocity Criteria
Gallimberti Criterion
Beroual Criterion
Experimental
Influence of the Arc Velocity Criteria on the FOV Results
65 REVIEW
Arc Propagation Criteria
Hampton Criterion
Hesketh Criterion
Billings and Wilkins Criterion
Gosh Criterion
Varc Im ln
Dhahbi and Beroual Criterion
Influence of the Arc Propagation Criteria on the FOV Results
Improvement of Gallimberti Arc Velocity Criterion
Influence of the Arc Propagation Criteria
Findings
Conclusions

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