Stability Analysis of Single-Phase Low-Voltage AC Microgrids With Constant Power Terminals

Abstract

This express brief presents the stability analysis of single-phase microgrids (SP-MG) operating under master-slave connection with constant power terminals. The SP-MG is composed of linear elements, nonlinear loads and distributed generators modeled as P Q constant terminals interconnected through power electronic converters. A Lyapunov?s direct method through a Hamiltonian representation of the grid is used to demonstrate stability. The non-autonomous model of the SP-MG is transformed into an autonomous equivalent model based on the dynamics of the error. The proposed analysis shows that if there exists an admissible trajectory x * solution of the power flow equations then the SP-MG is stable in the sense of Lyapunov.