2020-03-262020-03-262019IEEE Transactions on Circuits and Systems II: Express Briefs; Vol. 66, Núm. 7; pp. 1212-121615497747https://hdl.handle.net/20.500.12585/9117This 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.Recurso electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/article10.1109/TCSII.2018.2878188Hamiltonian systemsLyapunov's direct methodSingle-phase microgridsStability analysisElectric load flowElectric load managementHamiltoniansMathematical modelsPower convertersSystem stabilityCircuit stabilityDirect methodHamiltonian systemsLoad modelingMicro gridPower system stabilityStability analysisStability criteriainfo:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 InternacionalUniversidad Tecnológica de BolívarRepositorio UTB5691956410036449223500514610330005598969940037104976300