Synthesis of a power gyrator based on sliding mode control of two cascaded boost converters using a single sliding surface

In this paper, a method to synthesize a dc power gyrator, based on cascaded connection of two dc-dc converters is introduced. The dc power gyrator is synthesized by means of a sliding-mode control that imposes a proportionality between the input current of the first stage and the output voltage of the second stage. Only one sliding surface is used to drive both the switches of the system. A systematic procedure for designing the system is presented and its stability analysis is performed analytically and validated by numerical simulations using PSIM software. As an example of application, it is shown that a gyrator based on the cascade connection of two boost converters can be a good candidate for the impedance matching between a photovoltaic (PV) generator and a resistive load.