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By V. N. Maller

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From these figures it can be seen that, in the case of SFfi, the spread in the voltage between the corona formation and breakdown, under certain pressure condition, is much greater than that which exists for air or nitrogen. Therefore, the ratios co-relating the breakdown relation of SFfi and air are frequently unsuited for design calculations. Depending on the engineering requirements and the uniformity of the electrical field, the corresponding ratios relating the corona formation voltages may have greater engineering significance.

From the data shown in Fig. 22) where, r is the radius of curvature in mm and K,, K~, K^ are constants that produce the best fitting and are functions of pressure. 5 bar 90 60 - ^ 30 0 _1- L- — ! IbO J 1. 1 1 5/ 120 /k bar 90 60 "^ 30 1 0 0 2 1 1 4 L. 1 6 Radius of curvature (mm) F i g . 8 AC breakdown v o l t a g e of a 2 cm r o d - p l a n e gap in SFfi a s a f u n c t i o n of r a d i u s of c u r v a t u r e for v a r i o u s gas p r e s s u r e s [ 2 0 ] . 800 ^86-1 x P 1 2 3 4 Pressure (bars) F i g .

The problem can be simplified and the effect of surface roughness on breakdown can be approximately estimated by representing the roughness as a protrusion in the form of a conducting hemisphere of radius p on an otherwise ideally flat surface, as shown in Fig. 24. Using this model, Pedersen has shown that p. 39) ^ max ^ L v o/p'max J where, R is the maximum roughness height which in the model of Fig. 2mawill be equal to p and (E , ) is the maximum threshold microscopic field at the high voltagepeiectrode.

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