By V. N. Maller
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Additional info for Advances in High Voltage Insulation and Arc Interruption in SF6 and Vacuum
In strictly uniform fields, the critical avalanche length x equals the gap separation and it gets reduced to a very small fraction of the gap length even in a slightly non-uniform field. High Voltage Breakdown in SF 6 Gas 39 The breakdown threshold voltage is estimated as follows. The field geometry considered is the field between two cc-axiel cylinders, a geometry which is encountered in most SFfi insulated systems. 25) v (x) (r + x) ' where, r is the radius of the inner conductor and E is the breakdown threshold value of the maximum field strength at the electrode surface.
FACTORS AFFECTING THE BREAKDOWN STRENGTH OF SF. GAS 6 Although the breakdown strength o f gases under well controlled conditions may be expected to attain values shown in the ea r lier sections, in practical apparatus it is common to achieve only half as much or even less. In many case s the operating voltages are only 10% of those obtained in the labo ratory. In other word s, the amount of voltage insulated by a gas is greatly influenced by o ther factors besides the gas and the electrode separation.
They thus postulated that cathode and anode directed streamers would develop if the space charge field from the ions in the avalanche head became comparable with the externally applied field. Meek later on proposed a simple quantitative criterion to estimate the electric field that transforms an avalanche into a streamer. He assumed that the electrons and ions are distributed inside a spherical volume decided by diffusion considerations and postulated that when the electric field due to space charge at the edge of the sphere equalled the applied field, avalanche to streamer transition occurs.
Advances in High Voltage Insulation and Arc Interruption in SF6 and Vacuum by V. N. Maller