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Measuring Density Profiles of Electrons and Heavy Particles in a Stable Axially Blown Arc
Phys. Rev. Applied 8, 024002 – Published 2 August, 2017
DOI: https://doi.org/10.1103/PhysRevApplied.8.024002
Abstract
Two-color spatial carrier wave interferometry employing pulsed 532- and 671-nm lasers is used to measure the electron-density and heavy-particle-density profiles in the stagnation point of a stable, axially blown arc in argon for currents of 50 to 200 A and stagnation point pressures of 0.2 to 16 bar. This technique takes advantage of the fact that the free-electron contribution to the refractive index depends strongly on the wavelength, while that of the heavy particles does not. The high spatial resolution achieved allows the hot core of the arc to be readily distinguished from the surrounding boundary layer. A custom-built test device is used to ensure flow conditions that lead to a stable, axisymmetric arc; this permits the reconstruction of the density and temperature profiles using a single projection (interferometric image) of the refractive-index distribution through the arc (at two wavelengths). The arc radius determined from the heavy-particle density decreases with increasing stagnation pressure and increases with the current. These measurements are in good agreement with a simple axially blown arc model taking into account Ohmic heating, radiation losses, and enthalpy flow for core temperatures of approximately 16 500 K. The measured electron density at the center of the arc agrees well with a prediction based on local thermodynamic equilibrium.
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References (39)
- B. Franklin, A letter of Benjamin Franklin, Esq; to Mr. Peter Collinson, FRS concerning an electrical kite, Phil. Trans. R. Soc. London 47, 565 (1751).
- A. Iordanidis and C. Franck, Self-consistent radiation-based simulation of electric arcs: II. Application to gas circuit breakers, J. Phys. D 41, 135206 (2008).
- H. Nordborg and A. A. Iordanidis, Self-consistent radiation based modelling of electric arcs: I. Efficient radiation approximations, J. Phys. D 41, 135205 (2008).
- L. Fagiano and R. Gati, On the order reduction of the radiative heat transfer model for the simulation of plasma arcs in switchgear devices, J. Quant. Spectrosc. Radiat. Transfer 169, 58 (2016).
- V. Aubrecht and J. J. Lowke, Calculations of radiation transfer in plasmas using the method of partial characteristics, J. Phys. D 27, 2066 (1994).
- F. Reichert, J.-J. Gonzalez, and P. Freton, Modelling and simulation of radiative energy transfer in high-voltage circuit breakers, J. Phys. D 45, 375201 (2012).
- W. Hermann, U. Kogelschatz, L. Niemeyer, K. Ragaller, and E. Schade, Investigation on the physical phenomena around current zero in HV gas blast breakers, IEEE Trans. Power App. Syst. 95, 1165 (1976).
- W. Hermann, U. Kogelschatz, L. Niemeyer, K. Ragaller, and E. Schade, Experimental and theoretical study of a stationary high-current arc in a supersonic nozzle flow, J. Phys. D 7, 1703 (1974).
- U. Kogelschatz, Application of a simple differential interferometer to high current arc discharges, Appl. Opt. 13, 1749 (1974).
- U. Kogelschatz and W. R. Schneider, Quantitative schlieren techniques applied to high current arc investigations, Appl. Opt. 11, 1822 (1972).
- Y. Inada, S. Matsuoka, A. Kumada, H. Ikeda, and K. Hidaka, Multi-time electron density imaging over arc discharges around the current zero point, J. Phys. D 47, 175201 (2014).
- P. Stoller, E. Panousis, J. Carstensen, C. B. Doiron, and R. Färber, Speckle measurements of density and temperature profiles in a model gas circuit breaker, J. Phys. D 48, 015501 (2015).
- A. Gleizes, Perspectives on thermal plasma modelling, Plasma Chem. Plasma Process. 35, 455 (2015).
- J. J. Lowke and H. C. Ludwig, A simple model for high-current arcs stabilized by forced convection, J. Appl. Phys. 46, 3352 (1975).
- E. Panousis, M. Bujotzek, and T. Christen, Arc cooling mechanisms in a model circuit breaker, IEEE Trans. Power Delivery 29, 1806 (2014).
- D. Eichhoff, A. Kurz, R. Kozakov, G. Gött, D. Uhrlandt, and A. Schnettler, Study of an ablation-dominated arc in a model circuit breaker, J. Phys. D 45, 305204 (2012).
- R. Kozakov, M. Kettlitz, K.-D. Weltmann, A. Steffens, and C. M. Franck, Temperature profiles of an ablation controlled arc in PTFE: I. Spectroscopic measurements, J. Phys. D 40, 2499 (2007).
- S. Vacquie, A. Gleizes, and H. Kafrouni, Measurements of electron density in a arc plasma, J. Phys. D 18, 2193 (1985).
- K. Tomita, D. Gojima, K. Nagai, K. Uchino, R. Kamimae, Y. Tanaka, K. Suzuki, T. Iijima, T. Uchii, and T. Shinkai, Thomson scattering diagnostics of decay processes of gas-blast arcs confined by a nozzle, J. Phys. D 46, 382001 (2013).
- K. Tomita, D. Gojima, T. Shimizu, K. Uchino, T. Nakano, Y. Tanaka, K. Suzuki, T. Iijima, and T. Shinkai, Thomson scattering diagnostics of gas-blasted arcs confined by a nozzle under free-recovery conditions, J. Phys. D 48, 265201 (2015).
- M. Stoffels, S. Simon, P. G. Nikolic, P. Stoller, and J. Carstensen, Development of a multiperspective optical measuring system for investigating decaying switching arcs at the nozzle exit of circuit breakers, Appl. Opt. 56, 2007 (2017).
- W. Bötticher, U. Kogelschatz, and E. Schade, Untersuchung quasistationärer Lichtbögen hoher Leistung bei starker axialer Gasströmung, Z. Naturforsch. 27A, 1433 (1972).
- K. A. Goldberg and J. Bokor, Fourier-transform method of phase-shift determination, Appl. Opt. 40, 2886 (2001).
- M. Takeda, H. Ina, and S. Kobayashi, Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry, J. Opt. Soc. Am. 72, 156 (1982).
- K. Muraoka, M. Hamamoto, and M. Akazaki, Studies of an impulse spark using two-wavelength interferometry, Jpn. J. Appl. Phys. 19, L293 (1980).
- M. J. Hargather and G. S. Settles, A comparison of three quantitative schlieren techniques, Opt. Lasers Eng. 50, 8 (2012).
- D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, New York, 1998), Vol. 4.
- C. Smith and B. Spottiswoode, GoldsteinUnwrap2D_r1, http://ch.mathworks.com/matlabcentral/fileexchange/29497-goldsteinunwrap2d-r1, 2016.
- G. S. Settles, Schlieren and Shadowgraph Techniques: Visualizing Phenomena in Transparent Media (Springer, New York, 2001).
- Y. Inada, S. Matsuoka, A. Kumada, H. Ikeda, and K. Hidaka, Shack-Hartmann type laser wavefront sensor for measuring two-dimensional electron density distribution over extinguishing arc discharge, J. Phys. D 45, 435202 (2012).
- W. Burton, The refractive index and dispersion of light in argon and helium, Proc. R. Soc. A 80, 390 (1908).
- A. Piel, Plasma Physics: An Introduction to Laboratory, Space, and Fusion Plasmas (Springer Science & Business Media, New York, 2010).
- C. Doiron and K. Hencken, Calculation of thermodynamic and transport properties of thermal plasmas based on the Cantera software toolkit, in Proceedings of ESCAMPIG XXII (Greifswald, Germany, 2014), http://www.escampig2014.org/downloads/xxii_escampig_abstract_booklet_final.pdf.
- W. R. Smith and R. W. Missen, Chemical Reaction Equilibrium Analysis: Theory and Algorithms (Wiley, New York, 1982).
- A. Gleizes, J. J. Gonzalez, and P. Freton, Thermal plasma modelling, J. Phys. D 38, R153 (2005).
- M. Seeger, L. Niemeyer, T. Christen, M. Schwinne, and R. Dommerque, An integral arc model for ablation controlled arcs based on CFD simulations, J. Phys. D 39, 2180 (2006).
- M. Wendt, Net emission coefficients of argon iron plasmas with electron Stark widths scaled to experiments, J. Phys. D 44, 125201 (2011).
- K. Murai, T. Nakano, Y. Tanaka, Y. Uesugi, T. Ishijima, K. Tomita, K. Suzuki, T. Iijima, and T. Shinkai, The LTE thermofluid simulation of gas-blast arcs in a nozzle space in an arc device, IEEE Trans. Power Energy 136, 741 (2016).
- Y. Inada, A. Kumada, H. Ikeda, K. Hidaka, T. Nakano, K. Murai, Y. Tanaka, and T. Shinkai, Comparative study on extinction process of gas-blasted air and arc discharge using two-dimensional electron density imaging sensor, J. Phys. D 50, 175202 (2017).