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 PQ constant terminals interconnected through power electronic converters. 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 is an admissible trajectory {x} ^{\boldsymbol {\star }} solution of the power flow equations, then the SP-MG is stable in the sense of Lyapunov. © 2004-2012 IEEE.
Manuscript received July 20, 2018; revised October 17, 2018; accepted October 22, 2018. Date of publication October 25, 2018; date of current version June 26, 2019. This work was supported in part by the National Scholarship Program Doctorates of the Administrative Department of Science, Technology and Innovation of Colombia (COLCIENCIAS), by calling contest 727-2015, and in part by DGAPA-UNAM under Grant IN116516 and Grant IA103519. This brief was recommended by Associate Editor Y. Huang. (Corresponding author: O. D. Montoya.) O. D. Montoya is with the Department of Electrical and Electronic Engineering, Universidad Tecnológica de Bolívar, Cartagena 131001, Colombia (e-mail: o.d.montoyagiraldo@ieee.org).
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