Abstract
For a plane layer of a polar dielectric, which has a nonmonotonic dependence of the dielectric losses on temperature, a mathematical model describing the temperature state of this layer before its thermal breakdown is constructed. On the basis of this model, the connection between the breakdown voltage and the parameters determining the properties of the dielectric and the temperature distribution in the layer preceding the onset of thermal breakdown is established in an integral form. A quantitative assay of the model is carried out for the two types of polymer materials used as dielectrics.
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Acknowledgements
This work was supported by Ministry of Education and Science of the Russian Federation (Grant Nos. 9.2422.2017 and 9.7784.2017) and by Grant No. 1069.2018.8 of the RF Presidents program of the state support of young scientists-candidates.
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Zarubin, V.S., Kuvyrkin, G.N. & Savelyeva, I.Y. Mathematical model of thermal breakdown of a plane layer of a polar dielectric. Z. Angew. Math. Phys. 69, 91 (2018). https://doi.org/10.1007/s00033-018-0988-8
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DOI: https://doi.org/10.1007/s00033-018-0988-8