Application and validation of the resonance method for evaluation of corona discharge ignition voltages
DOI:
https://doi.org/10.14311/ppt.2026.2.43Keywords:
drift-diffusion-reaction model, local-field approximation, space-charge-free regime, inception voltage, resonance method, COMSOL MultiphysicsAbstract
This paper presents the application of the resonance method for the evaluation of the inception voltage U0 for non-self-sustained discharges in dry air within a 1D axisymmetric geometry using the commercial software COMSOL Multiphysics. The model is first validated against a reference configuration from previous work. A parametric study is performed to assess the influence of electrode polarity, gas pressure, and electrode geometry on U0. The results confirm the expected trends. Furthermore, the use of a local kinetics model for negative ions reveals the reduction in the model complexity while introducing only minor deviations in U0, demonstrating its suitability for efficient calculations. In contrast, the omission of photoionization leads to expected strongly polarity-dependent effects. These findings show the applicability of the resonance method as a robust tool for U0 evaluation and highlight the critical role of selected physical processes in discharge modeling.
References
[1] Y. P. Raizer, J. E. Allen, et al. Gas discharge physics, volume 2. Springer, 1997.
[2] F. W. Peek. Dielectric phenomena in high-voltage engineering. McGraw-Hill Book Company, Incorporated, 1929.
[3] G. Naidis. Conditions for inception of positive corona discharges in air. Journal of Physics D: Applied Physics, 38(13):2211–2214, 2005.
[4] M. S. Benilov, P. G. C. Almeida, N. G. C. Ferreira, et al. A practical guide to modeling low-current quasi-stationary gas discharges: Eigenvalue, stationary, and time-dependent solvers. Journal of Applied Physics, 130(12):121101, 09 2021. doi:10.1063/5.0057856.
[5] P. G. C. Almeida, G. V. Naidis, and M. S. Benilov. Theory of stability of self-sustaining dc discharges at inception with application to negative corona. Phys. Rev. E, 110:045201, Oct 2024. doi:10.1103/PhysRevE.110.045201.
[6] N. Ferreira, D. Santos, P. G. Almeida, et al. Simulation of pre-breakdown discharges in high-pressure air. i: The model and its application to corona inception. Journal of Physics D: Applied Physics, 52(35):355206, 2019.
[7] G. Hagelaar and L. C. Pitchford. Solving the boltzmann equation to obtain electron transport coefficients and rate coefficients for fluid models. Plasma sources science and technology, 14(4):722–733, 2005.
[8] A. Bourdon, V. Pasko, N. Y. Liu, et al. Efficient models for photoionization produced by non-thermal gas discharges in air based on radiative transfer and the helmholtz equations. Plasma Sources Science and Technology, 16(3):656–678, 2007.
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