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Considerations on Spark- Gap Channel Radius and Electrical Conductivity | ||
| Engineering and Technology Journal | ||
| Article 9, Volume 38, 3B, 2020, Pages 168-176 PDF (895.54 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.30684/etj.v38i3B.1314 | ||
| Author | ||
| Bassam H. Habib | ||
| Al- Mansour University College, Baghdad, Iraq | ||
| Abstract | ||
| A simple phenomenological model is established to determine the temporal evolution of spark gap channel radius and electrical conductivity during the resistive phase period. The present determination is based on the Braginskii’s equation for the channel radius which includes the electrical conductivity of the discharge channel as a constant quantity. In the present model, however, the electrical conductivity is regarded as a time varyingquantity. Basing on this, a mathematical formulation for the channel radius as a function of time was derived, and this has made possible the derivation of an explicit expression for the conductivity as a function of time as well. Taking the temporal average of the electrical conductivity offers an alternative mathematical formulation for the instantaneous radius based on a steady conductivity value that can be determined according to some experimental parameters. It has been verified that both of the channel radius formulations mentioned above lead to similar results for the temporal evolution. The obtained results of the channel radius were used to determine the instantaneous inductance of the spark channel. The present model was used to examine the role of gas pressure and gap width on the temporal evolutions of the channel radius, conductivity, and inductance in nanosecond spark gaps | ||
| Keywords | ||
| Channel radius; Discharge plasmas; Electric discharge; Resistive phase; Spark gap discharge resistance | ||
| References | ||
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[1] H. Rahaman, “Investigation of high- power, high- pressure spark gap switch with high repetition rate,” Ph.D. Thesis, Erlangen University, Nurnberg, 2007. Y. Q. Pacheco Y.F. Barragan, F.F. Parada-Becerra, and P.A. Tsygankov, “Computational study of a glow discharge device,” Journal of Physics: Conference Series 1386, 2019. 012122, doi:10.1088/1742-6596/1386/1/012122. [3] M. Hussain, T. Imran, “Investigation of voltage variations across spark gap and laser discharge channel of homemade transversely electrical excited atmospheric (tea) nitrogen laser,” International Journal of Advanced Scientific and Technical Research, Vol. 1, No. 7, pp. 386- 391, January –February 2017. [4] Li Chen H. Fan,R. Cao, W. Yang, and Y. Li, “Study on the breakdown characteristics of the trigatron spark gap triggered by plasma jet,” AIP Advances 10, 015002, 2020. [5] D. A. Swift, “The electrical discharge,” Contemp. Phys., Vol. 22, No.1, pp. 37- 60, 1981. [6] L. Liu, “Physics of electrical discharge transitions in air,” Ph.D. Thesis, KTH Royal Institute of Technology, School of Electrical Engineering, Stockholm, Sweden 2017. [7] M. Khalifa. “High voltage engineering,” Marcel Dekker Inc., New York, 1990. [8] N. St. J. Braithwaite, „Introduction to gas discharges,” Plasma Sources Sci. Technol., Vol.9, pp. 517- 527, 2000. [9] E. Gillam and R. M.King, “College physics vol. 2,” ELBS, London, Ch. VII, pp. 193- 203,1979. [10] G. Schaefer, M. Kritiansen, A. Guenther, “Gas discharge closing switches,” Vol. 2, Springer Science + Business Media, LCC, New York, 1990. [11] T. W. Hussey, K. J. Davis J. M. Lehr, N. F. Roderick, R. C. Pate, E. Kunhardt, “Dynamics of nanosecond spark- gap channels,” Proceedings of The 12th IEEE Pulsed Power Conference, Vol. 1, pp.1171- 1174, 1999. [12] S. I. Braginskii, “Theory of the Development of a spark channel,” Soviet Physics JETP, Vol. 34 (7), No.6, pp.1068- 1074, December, 1958. [13] V. I. Oreshkin and I. V. Lavrinovich, “Energy loss in spark gap switches,” Physics of Plasmas, 21, 043513, 2014. [14] M. Hogg, I. Timoshkin, S. MacGregor, M Given, M. Wilson, T. Wang, “Simulation of spark dynamic plasma resistance and inductance using pspice, ” 2014 IEEE International Power Modulator and High Voltage Conference (IPMHVC), Santa Fe, NM, USA, 2014. [15] A.E.D. Heylen, “Sparking formula for very high- voltage paschen characteristics of gasses,” IEEE Trans. Elec. Insul. Magazine, Vol. 2, pp 25- 35, 2006. [16] Y.P. Raizer, “Gas discharge physics,” Springer- Verlag, 1st edition, Berlin Heidelberg 1991. [17] B. H. Habib, “A Simple model of spark gap discharge phase,” Eng. and Tech. Journal, Vol.31, Part (A), No.9, pp. 1692- 1704, 2013. [18] T. P. Sorensen and V. M. Ristic, “Rise time and time dependent spark gap resistance in nitrogen and helium,” Journal of Applied Physics, Vol. 48, No. 1, pp. 114- 117, January, 1977. [19] M. Hussain, M.B. Siddique, and T. Imran, “Analysis of transversely excited atmospheric (tea) nitrogen laser and different parameters of homemade ignition system,” Sci. Int. (Lahore), Vol. 27, No.6, pp. 5001- 5004, 2015. [20] V. V. Tikhomirov, S.E. Siahlo, “Residual resistance simulation of an air spark gap switch,” Physics, Acc-ph, arXiv:1502.07499, Vol.26 Feb, pp. 1- 6, 2015. [21] M. Istenic, I.R. Smith and B.M. Novac, “Dynamic resistance calculation of nanosecond spark- gap,” IEEE Pulsed Power Conference, Monterey, CA, USA, 13- 15 June, INSPEC Accession Number: 10236068, 2005. | ||
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