A New Empirical Expression of the Breakdown Voltage for Combined Variations of Temperature and Pressure

In aircraft applications, according to the nature of electrical equipment its location may be in unpressurized area or very close to the engine; thus, the environmental conditions may change from atmospheric pressure to less than 100 mbar, and the temperature may be higher than the ambient one as in most real working conditions of electrical equipment. Then, the classical Paschen curve has to be replotted since these parameters may affect the discharge ignition voltage. In this paper, we firstly investigate the domain of validity of two corrective expressions on the Paschen-s law found in the literature, in case of changing the air environment and known as Peek and Dunbar corrections. Results show that these corrections are no longer valid for combined variation of temperature and pressure. After that, a new empirical expression for breakdown voltage is proposed and is validated in the case of combined variations of temperature and pressure.




References:
[1] F.Paschen, "Ueber die zum Funken├╝bergang in Luft, Wasserstoff und
Kohlensäure bei verschiedenen Drucken erforderliche Potential
differenz" Annalen der Physik, vol. 273, Issue 5, pp.69-96, 1889.
[2] J.M Meek, J.D Craggs, "Electrical Breakdown of gases", Wiley, 1978.
[3] E. Badareu, I. Popescu, "Gaz ionises: Décharges Electriques dans les
Gaz", Editions Dunod, 1965.
[4] International Electrotechnics commission (IEC) 60060-1 "High Voltage
Measurement techniques", 1989.
[5] F.W Peek, "Phénomènes Diélectriques dans la technique des Hautes
Tensions". Traduction par R. ACKERMAN, Delagrave Editions, Paris,
1924.
[6] W. Dunbar, "High Voltage Design Guide for Airborn Equipment",
Boeing Aerospace Company, Seattles AD A029268, 1976.
[7] E. Sili, J.P. Cambronne and F. Koliatene, "Temperature Dependence of
electrical Breakdown Mechanism on the Left of the Paschen Minimum",
IEEE Trans.Plas.Sci.vol.39, Issue 11,2011.
[8] P. Osmokrovic, M. Vujisic, K. Stankovic, A. Vasic and B. Loncar,
« Mechanism of electrical breakdown of gases for pressures from 10 -9 to
1 bar and inter-electrode gaps from 0.1 to 0.5mm », Plasma Sources Sci.
Technol. Vol.16, pp.643-655, August 2007.
[9] D. K. Davies and M. A. Biondi, « Vacuum electrical breakdown
between plan parallel copper electrode » Journal of Applied Physics, vol.
37, p.2969-2977, July 1966.
[10] R. V. Latham, « High voltage vacuum insulation », Academic Press,
1955.