An Unit-less Mathematical Model for Analysis and Design of Class-E Resonant Converters

Considering sustainable policies for energy systems, resonant converters are suitable systems to realize the desirable flow of energy in several applications, such as: renewable sources, energy harvesting systems, electric and hybrid vehicles. However, analysis and design of resonant converters are more complex than their pulse-width modulation counterparts, which leads to simplifying assumptions that result in limitations in the size of the designed components. This paper proposes a result-oriented methodology for analysis and design Class-E converters by means of an unit-less mathematical model that is independent of circuit parameters, such as, inductances and capacitances. The system is modeled in a generalized representation and normalized gain curves can be obtained to design the converter. A 500 kHz Class-E resonant converter was simulated and implemented to validate the theoretical approach.