More Exact Analytical Solution of the Equations Describing the Electrical Circuit of the Resonant Inverter – Barrier Discharge System

The article presents the results of an analytical study of the characteristics of the resonant power supply circuit of an ozone generator based on a volumetric barrier discharge, including an inverter and a high-voltage high-frequency transformer. The ozone generator resonant power supply system, which is most often used in such installations, is considered. To build such power supply system, a lumped choke is installed in the transformer primary or secondary circuit. It is shown that there is an exact solution for such a circuit, the analytical expressions for the parameters in which contain the circuit component values and the moments at which the discharge in the ozone generator gas gap extinguishes and ignites. These moments are the roots of a nonlinear system of two equations, the parameters of which are the ratios of the transformer secondary winding voltage to the ozone generator discharge burning voltage, the ozone generator dielectric layer capacitance to the ozone generator gas gap capacitance, and the inverter operation frequency to the circuit natural frequency, which is determined by the ozone generator dielectric layer capacitance. The resonance conditions in this circuit are formulated. The obtained analytical results are compared with the data from numerical simulation of the circuit by a commercial computer program for electrical engineering calculations. The comparison results show excellent agreement throughout the entire range of the parameters studied, which are typical for the operation of real ozone generating systems.