Dependence of dissipated power on applied voltage for surface barrier discharge from simplest equivalent circuit

Dielectric barrier discharges (DBDs) are characterized by electrical measurements interpreted on the basis of equivalent circuits. The concept of the simplest equivalent circuit of volume DBDs is expanded to surface DBDs (SDBDs); this was completed by taking into account the discharge expansion on the dielectric-gas interface. It is assumed, that this expansion is not limited by the dimension of the electrodes. This approach delivers an analytical relationship for the dissipated power as a function of the applied voltage amplitude. It applies to SDBDs with sufficiently long embedded electrodes and operated by sinusoidal high voltages. The obtained relations were validated by comparison with experimental data obtained from previous work devoted to SDBDs with 20 mm elongated electrodes operated in ambient air and for applied peak-to-peak voltages of up to 20 kV at 1 kHz frequency. The dependencies derived from the equivalent circuit agree well with experimentally recorded charge and dissipated energy.