Synthesis of power gyrators operating at constant switching frequency

A systematic procedure to synthesise power gyrators for constant switching frequency operation is presented. The equivalence between ideal sliding dynamics and PWM zero dynamics is used to derive the control law of the duty cycle. As a consequence, any power gyrator with stable behaviour in sliding-mode results in a stable equivalent gyrator at constant switching frequency with the same stability conditions. The design of a PWM G-gyrator with controlled output current based on a buck converter with input filter illustrates the procedure. Simulations and experiments are in good agreement with the theoretical predictions.