Induced and Transferred Charge in Dielectric-Barrier Discharge Setups Without 2D-Translational or Cylindrical Symmetry

Abstract

For dielectric-barrier discharges (DBDs) in setups lacking 2D-translational or cylindrical symmetry, an electrical analysis within the framework of a 3-capacitor equivalent-circuit model is no longer possible. In this situation, it makes sense to adapt an approach developed in the late 1980s for analyzing partial discharges in high-voltage systems, based on the so-called λ function, or alternatively to apply a fundamental theorem of electrostatics directly, on which this function is also based. The main purpose of this short communication is to draw the attention of the scientific community of researchers interested in DBDs to the existence of a very useful concept, published decades ago in the electrical engineering literature and apparently still little known in this community.