In this paper we present the first results of the work that we started few month ago in order to demonstrate the advantage of using Hybrid Energy Storage System (HESS) with batteries and Super Capacitors (SCs) in Low Voltage DC Micro-Grid (LVDC-MG) in residential application. To achieve this goal we study the impacts of the quantity of SCs on the battery lifetime, the HESS cost and the losses energy (energy that can't be store). This analysis has been done on the LVDC MG developed in LAAS-CNRS in ADREAM Building Integrated PhotoVoltaic (BiPV). The HESS is made by two types of Energy Storage System (ESS), SCs and OPzV lead acid batteries. The power profiles used for simulation are 1 year's data PV production and light consumption from one of the floor of the BiPV.