Whenit comes to achieving full exploitation of diverse, locally available renewable energy sources, hybrid microgrids provide opportunities to build more integrated and functional power systems. However, the coexistence in these systems of power electronics equipment, energy storage systems and very often, conventional electric power plants poses new challenges over their stability, reliability and resiliency. This paper proposes a detailed study of a hybrid AC-DC microgrid made of a micro-hydro power plant, a solar PV installation and a battery energy storage system. Average models are used for power electronic converters in the system, local PI and PID controllers are presented and primary droop control is applied to the overall microgrid to regulate state variables and to control the shared contribution of each energy sources in the microgrid.