Chebyshev comparisons of current laws for point-plane DC coronae in air

Journal of Electrostatics

Volumn 39, Issue 2, 1997, Pages 111-128

  Jones, J E ^a   Cohen, A M ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

Chebyshev polynomials; Corona; Ionic currents; Point plane discharges; Sigmond's law; Warburg's law

Indexed keywords

AIR; CHEBYSHEV APPROXIMATION; ELECTRIC CURRENTS; FUNCTIONS; MATHEMATICAL MODELS; POLYNOMIALS;

CHEBYSHEV POLYNOMIALS; CURRENT LAWS; IONIC CURRENTS; POINT PLANE DISCHARGES; SIGMOND LAW; WARBURG LAW;

ELECTRIC CORONA;

EID: 0031071124     PISSN: 03043886     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3886(96)00045-9     Document Type: Article

References (21)

1. E. Warburg, Ueber die Spitzentdladung, Wied. Ann., 67 (1899) 67-83.
2. E. Warburg, Characteristik des Spitzenstromes, in: Handbuch der Physik, Vol. 14, Springer, Berlin, 1927, pp. 154-155.
3. M. Davies, A. Goldman, M. Goldman and J.E. Jones, Developments in the theory of corona corrosion for negative point-plane discharges in air, Proc. XVII Int. Conf. on Phenomena in Ionized Gases (ICPIG), Swansea, 1987, pp. 650-651. ISBN 0 9511848 06.
4. A. Goldman, M. Goldman and J.E. Jones, On the behaviour of the planar current-distribution in the pulseless regime of negative DC point-plane coronas in air, Proc. X Int. Conf. on Gas Discharges and their Applications (GD92), Swansea, 1992, pp. 270-273. ISBN 0 9519465 1 X.
5. T.E. Allibone and J.C. Saunderson, Corona at very high direct voltages. VI. Corona in rod/plane gaps, Proc. 6th Int. Symp. High Voltage Eng. (ISH), New Orleans, 1989, Paper 22.02
6. J.S. Townsend, Electrical properties of newly prepared gases, Phil. Mag. Ser. 5, 45 (1898) 125-151; Proc. Camb. Phil. Soc. IX pt V (1898) 345-371. Application of diffusion to conducting gases, Phil. Mag. Ser. 5, 45 (1898) 469-480.
7. J.S. Townsend, Electrical properties of newly prepared gases, Phil. Mag. Ser. 5, 45 (1898) 125-151; Proc. Camb. Phil. Soc. IX pt V (1898) 345-371. Application of diffusion to conducting gases, Phil. Mag. Ser. 5, 45 (1898) 469-480.
8. J.S. Townsend, Electrical properties of newly prepared gases, Phil. Mag. Ser. 5, 45 (1898) 125-151; Proc. Camb. Phil. Soc. IX pt V (1898) 345-371. Application of diffusion to conducting gases, Phil. Mag. Ser. 5, 45 (1898) 469-480.
9. J.E. Jones, On analytic solutions of the drift equations for many ionic species, J. Phys.D: Appl. Phys., 27 (1994) 1835-1847.
10. R.S. Sigmond, in: J. M. Meek and J.D. Craggs (Eds.), Electrical Breakdown of Gases, Wiley, New York, 1978, Ch. 4.
11. R.S. Sigmond, Simple approximate treatment of unipolar space-charge dominated coronas: The Warburg law and the saturation current, J. Appl. Phys., 53 (1982) 891-898.
12. R.S. Sigmond, The unipolar corona space charge flow problem, J. Electrostatics, 18 (1986) 249-272.
13. J.E. Jones, The theory of drift of ions in a gas, J. Phys. D: Appl. Phys., 23 (1990) 164-174.
14. J.E. Jones, On the drift of gaseous ions, J. Electrostatics, 27 (1992) 283-318.
15. J.E. Jones, M. Davies, A. Goldman and M. Goldman, A simple analytic alternative to Warburg's law, J. Phys. D: Appl. Phys., 23 (1990) 542-552.
16. J.E. Jones, A theoretical explanation of the laws of Warburg and Sigmond, Proc. Roy. Soc. A, accepted for publication.
17. P. Moon and D.E. Spencer, Field Theory for Engineers, Van Nostrand, New York, 1961, pp. 236-240,
18. T.E. Allibone, J.E. Jones, J.C. Saunderson, M.C. Taplamacioglu and R.T. Waters, Spatial characteristics of electric current and field in large direct-current coronas, Proc. Roy. Soc. Lond. A, 441 (1993) 125-146.
19. J.E. Jones and M. Davies, Cosine power laws for calculated planar field distributions of a small-scale negative DC corona discharge in air, Proc. X Int. Conf. on Gas Discharges and their Applications (GD92), Swansea, 1992, pp. 266-269. ISBN 0 9519465 1 X.
20. M. Abramowitz and I.A. Stegun (Eds.), Handbook of Mathematical Functions, Dover, New York, 1965, ISBN 486 61272 4.
21. L. Fox and I.B. Parker, Chebyshev Polynomials in Numerical Analysis, Oxford University Press, London, 1968.