Application of resonant converters has increased dramatically due to their advantages and characteristics. Resonant structures are much more useful compared to hard-core switches. These structures have many features like: high power density, high efficiency, high switching frequency, and low electromagnetic noise. In today's industries, there are many applications of Direct Current (DC) power supplies at high voltage levels. One of these applications is the Electrostatic Precipitator System (EPS). In different instances, the advantage of the high frequency switching function is to reduce the dimensions and weight of the installed equipment, having a direct current output voltage with low ripple, a very fast response control, and a high power supply in the charging point. In such systems, the control circuitry and proper design are one of the most recent challenges. In this paper, using a precise mathematical model derived from Thiago B. Soeiro's reference paper. At the first the characteristics, and structure of the resonance converter for feeding the electrostatic load have been described. Considering that the design of the resonant converter due to the dependency on the load and frequency of excitation is complex and timely work. In this paper we have investigated the application and optimization with the evolutionary Particle Swarm Optimization (PSO). Our goal is to optimize the power and efficiency of the converter and reduce the voltage stress of the circuit components. The results show that these parameters are improved by the proposed evolutionary algorithm.