A Floquet theory-based fast time-domain stability analysis for N-parallel inverters system

Abstract

Based on Floquet theory, a simple and fast time-domain stability analysis method for an N-parallel inverters system is proposed. Furthermore, a general time-domain model of the N-parallel inverters system in grid-connected mode and in island mode are derived, and thecorresponding stability criteria are derived based on the Floquet theory. Subsequently, simulations and experiments of a two-parallel inverters system in island and grid-connectedmodes are conducted to verify the correctness and effectiveness of the proposed time-domain stability analysis method. To the end, the complexity comparison between the pro-posed time-domain method and the traditional frequency-domain method is presented toprove the advantages of the proposed method over the tedious manual derivation.