2020-03-262020-03-262019International Journal of Electrical Power and Energy Systems; Vol. 112, pp. 221-23101420615https://hdl.handle.net/20.500.12585/8906This paper presents a unified Hamiltonian formulation for controlling distributed energy resources (DERs)in ac single-phase microgrids (SP-MGs)via proportional-integral passivity-based control (PI-PBC), and interconnection and damping assignment passivity-based control (IDA-PBC). The proposed Hamiltonian formulation allows us to consider both pulse-width modulated voltage source converters (PWM-VSC)and pulse-width modulated current source converters (PWM-CSC)under a unified model. Renewable generation and supercapacitor energy storage systems are integrated via PWM-VSC technologies, while superconducting coils are integrated through PWM-CSC technologies. IDA-PBC and PI-PBC theories enable us to design control strategies begin that consider Lyapunov's stability theory combined with the well-known advantages of proportional and integral control actions. Our simulation's results corroborate the applicability of the proposed control approaches under stability paradigm. MATLAB/Simulink is employed for computational implementations via begin the SimPowerSystems toolbox. © 2019 Elsevier LtdRecurso electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/article10.1016/j.ijepes.2019.04.046Distributed energy resourcesHamiltonian modelingLyapunov's stabilityPassivity-based controlSingle-phase convertersSingle-phase microgridsComputation theoryEnergy resourcesHamiltoniansMATLABPulse width modulationTwo term control systemsDistributed energy resourcesHamiltonian modelingLyapunov's stabilityMicro gridPassivity based controlSingle phase converterPower convertersinfo:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 InternacionalUniversidad Tecnológica de BolívarRepositorio UTB569195641005719149364836449223500