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              Dielectric Gases                                                                            363

                                                                                                  R
                                                                dc  uniform  field  breakdown  strengths  V  s  in  Table  II,
                                                                which were measured at approximately atmospheric pres-
                                                                sures:  The  V s  of  air  is  ∼50  times  higher  than  that  of
                                                                Ne,  and  the  V s  of  SF 6  is  ∼3.3  times  higher  than  that
                                                                of  air.  The  highest  known  V s  (∼2.5  times  higher  than
                                                                SF 6 )  are  exhibited  by  strongly  electron-attaching  poly-
                                                                atomic  gases  such  as  the  perfluorocarbons  in  Table  II
                                                                and other polyhalogenated molecules. Weakly electron-
                                                                attaching or non-electron-attaching gases (Table II) have
                                                                low V s values. Nonelectronegative molecular gases with
                                                                large electron-scattering cross sections have reasonably
                                                                high V s values compared, for instance, with the rare
                                                                gases, in which low-energy electron scattering is totally
                                                                elastic.
                                                                  The V s of a gaseous medium is expected, in accordance
                                                                with Paschen’s law, to be a function only of Nd s (the
                                                                product of the gas number density N and the electrode
                                                                separation d s ); thus, for sufficiently high values of N to
                                                                the right of the Paschen minimum, V s /Nd s = (E/N) lim
                                                                should be independent of N. This relationship holds for


              FIGURE 4  Relative breakdown strangth of various gas mixtures.  TABLE II Relative dc Uniform Field Breakdown Strengths
              In (c), curves 1–4 are for x = 1-C 3 F 6 , 1,1,1-CH 3 CF 3 , CHF 3 , and  V of Some Dielectric Gases a
                                                                 R
                                                                 s
              CF 4 , respectively. In (d), curves 1–6 are for N total  (10 19  cm −3 ) =
              10.00, 7.52, 5.02, 3.76, 2.51, and 1.67 respectively. [Based on  Gas  V R b,c  Comments
                                                                          s
              data from Christophorou, L. G. (ed.), (1982). “Gaseous Dielectrics
              III,” Pergamon Press, New York; Christophorou, L. G. (ed.). (1984).  SF 6  1  Most common dielectric gas besides air
              “Electron–Molecule  Interactions  and  Their  Applications,”  Aca-  C 3 F 8  0.90  Strongly and very strongly electron-attaching
              demic Press, New York; Christophorou, L. G., et al. (1984). IEEE    gases, especially at low energies
              Trans. Elect.  Insul. El-19, 550–566; and Electric Power Research
                                                                n-C 4 F 10  1.31
              Institute. (1982). “Gases superior to SF 6  for insulation and inter-
                                                                c-C 4 F 8  ∼1.35
              ruption,” EPRI·EL-2620, Electric Power Research Institute, Palo
              Alto, CA [prepared by Westinghouse Electric Corporation].  1,3-C 4 F 6  ∼1.50
                                                                c-C 4 F 6  ∼1.70
                                                                2-C 4 F 8  ∼1.75
              The  SF 6 /N 2  mixtures  are  particularly  attractive.  Their
                                                                2-C 4 F 6  ∼2.3
              relatively  high  dielectric  strength  (for  SF 6 concentra-
                                                                c-C 6 F 12  ∼2.4
              tions   40%)  have  made  the  SF 6 /N 2 mixtures  candi-
                                                                CF 3 H    0.27  Weakly electron-attaching; some (CO, N 2 O)
              dates for high-voltage gas-insulated equipment, especially
                                                                                  are effective in electron slowing-down
              in low-temperature environments (<−40 C) where pure
                                               ◦
                                                                CO 2      0.30
              SF 6  would  condense  at  the  normal  operating  pressures
                                                                CF 4      0.39
              (∼4.5 atm); a 50/50 mixture of N 2 /SF 6  has a dielectric
                                                                CO        0.40
              strength ∼85% that of pure SF 6  in uniform fields.
                                                                N 2 O     0.44
                Ternary  gaseous  mixtures  have  also  been  developed
                                                                H 2       0.18  Virtually non-electron-attaching
              to optimize as many of the desirable dielectric properties
                                                                Air      ∼0.30
              and characteristics as possible. Such gaseous dielectrics,
                                                                N 2       0.36  Non-electron-attaching but efficient in
              composed  of  N 2 , SF 6 ,  and  small  amounts  of  strongly       electron slowing-down
              electronegative  perfluorocarbons,  show  promise  for  Ne   0.006  Non-electron-attaching and not efficient
              applications.                                                       in electron slowing-down
                                                                Ar        0.07
              III.  BREAKDOWN STRENGTH                            a  Based on data in Christophorou (1984), Meek and Craggs (1978),
                                                                and Christophorou et al. (1984).
              A.  Uniform Fields                                  b  Some of the values given are for quasi-uniform fields and may thus
                                                                be lower than their uniform field values.
              The range of breakdown potentials for gases is consid-  c  The relative values can be put on an absolute scale by multiplying
              erable. This can be seen from the selected data on the  by 3.61 × 10 −15  Vcm , the (E/N) lim of SF 6 .
                                                                              2
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