Classification and synthesis of power gyrators

A systematic procedure to synthesise power gyrators for variable switching frequency operation is presented. Based on the gyrator equations, topological constraints are first established and two types of gyrators, i.e. G and R, are defined. A boost converter with an output filter and the $C uk converter are shown to have the unconditionally stable characteristics of G-gyrators with a controlled input current whereas a buck converter with an input filter and also the $Cuk converter are shown to behave as G-gyrators with a controlled output current if damping networks are inserted and certain stability conditions are accomplished. Similarly, a boost converter with an output filter is shown to behave as a power R-gyrator with stable dynamics.