Analysis of the Parametric Converter

The operation of a parametric converter which transfers electrical energy from the input to the output circuit by means of parametric oscillations is analyzed. The analysis of this highly non-linear device is based on two main functional relationships which relate the flux in each of the two iron cores to the MMF´s of the input and output windings and utilizes a fifth-order polynomial to describe the magnetization curve of the built-up magnetic structure. Expressions are derived for the currents in the converter windings, the parametric power transferred between the two circuits, the input power factor, and the required tuning capacitance.