The Adrar site located in the south of Algeria, presents the most important windy and sunny site in Algeria that can be exploited. In this context for the exploitation of the two complimentary sources of this site (wind and sun) based on the meteorological data, the present paper focuses on the study of a Hybrid System (HS) based on an interconnection between a Wind Energy Conversion System (WECS) and a Photovoltaic System (PVS) which is planted in the DC-link bus of the back-to-back converter feeding the Double Feed Induction Generator (DFIG) rotor of the WECS. The objective of using this proposed coupling topology is to exploit the two available complementary renewable sources in the same time, to enhance the exploitation rate of the un-resized WECS back-to-back converter which remains at low power in the weak wind case or in the synchronism case and to eliminate the PVS inverter. Consequently the overall cost of the HS can be reduced. On the other side, to solve the energy quality problem; a modified MPPT mode control technique is proposed and compared with two other conventional techniques, the first one uses the PVS to offset only the WECS power rapid fluctuations and the second one uses a Battery Storage Unit (BSU) to ensure the produced energy smoothing. This BSU plays also an interesting role to store the surplus of energy when the maximum power level of the WECS converter is reached in case of wind and/or irradiation abundances.