The supervision of energy consumption applied to a smart home, seems to be one of the main challenges for the future smart grid. The purpose of this study was to investigate a double layer supervision strategy in order to ensure a flattened power load curve in a residential application. This control is mainly divided into two levels. The first consists of a demand response algorithm, which plays an important role in scheduling the operation of home appliances by moving the shiftable appliances from peak hours, when electricity prices are high, to off-peak hours when prices are low and thus contributes to improving the daily load profile. The first strategy was coupled with the emergence of Plug-in Electric Vehicle (PEV), which is a new electrical load that must be considered in a smart home. The second consists of a PEV power management, which aims to ensure the bi-directional power flow from the smart home to PEVs (H2V) and from the Vehicle to Home (V2H). This procedure results in monitoring the power of each PEV connected to the home to determine its power reference and thereby, enhance again the power load curve. Simulation results highlight the performance of the two-layer home energy supervision strategy to achieve the smoothness for the daily power demand curve. (C) 2018 Elsevier Ltd. All rights reserved.