Ideal switched-model dynamic stability conditions for semi-quasi-Z-source inverters

Abstract

The ideal switched model of the recently introduced semi-quasi-Z-source inverter is a practical example of a switched system where each subsystem is neither asymptotically stable nor detectable from the output, yet asymptotic stability can be ensured by imposing limitations on the load and on how switching is performed. In this paper, we present novel stability conditions for the switched model (i.e. not the averaged model) of the semi-quasi-Z-source inverter connected to different types of loads and operating in both complementary and uncontrolled conduction. These stability conditions give theoretical justification to the standard open-loop inverter operation strategy and are important for the operation of the converter under closed-loop control.