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.