The present paper focuses on the study of the generated power smoothing performances of hybrid renewable energy sources dedicated to the application of a micro-grid. The latter is constituted of a variable speed wind turbine (VSWT) based on a DFIG, a PV system and a hybrid energy storage system. The DFIG rotor side is powered by a three-level inverter and controlled by a direct reactive power control (DRPC) technique. This topology is chosen to improve the quality of the output power and current injected into the grid. The hybrid storage system is made of a combination of battery banks (BBs) and supercapacitors (SCs). The main purpose of the work is to manage the energy used by the system and to control the active and reactive powers flowing through the micro-grid. Also, the use of the DFIG with its converter as a local reactive power compensator is considered. In addition, to mitigate fluctuations due to random changes in wind speed and solar radiation, an energy management algorithm is introduced. The latter must also ensure the smoothing of the output power, the control of the discharge depth of the batteries, and the continuity of service. Simulation results, performed under Matlab/Simulink, are presented and analyzed.