Analysis of a series resonant inverter

The series inverter is a source of high-frequency energy and a fundamental object of research in power electronics. The four circuit parameters are replaced by only two inverter coordinates: attenuation and phase, which corresponds to the rank of the differential equation, and canonizes the vision about the processes in the inverter. The differential relation between the capacitor voltage and the current is presented by means of a complex function, which represents the energy in the inverter. An inverter function has been synthesized, presenting the electromagnetic processes over the entire operation period. The inverter function has been adapted to the conditions of the stationary mode, through which it is formulated. The functional results have been modeled in the phase space. The phase model makes it possible to formulate the balance between the mode reduction, due to the attenuation and its commutation compensation. A mode-energy map has been synthesized, comprising the voltage, current and energy of the inverter in stationary mode, which are functions of the inverter coordinates. The map presents the inverter load and frequency characteristics. The conventional solution of the differential equations has been replaced by the energy connection of the phase model. A unique formula for the inverter power has been proved, whereby it is not dependent on current. An alternative method for calculating the inverter has been established