I. Introduction
The automotive sector is undergoing a major change. For the next years a considerable increase of the PHEVs which penetrate in the car fleet is expected. Before the development of the charging infrastructure and the Vehicle-to-Grid (V2G) concept [1] [2], the recharge of PHEVs will performed at home. For socio-economical reasons, the residential electric grid areas will be affected. Therefore, an evaluation of the PHEVs' impacts on residential electric grids [3] [4] and distribution electric grids [5] [6] [7] have been conducted. Others studies have quantified life duration losses of high power transformers [8] [9] and low power transformers [10] caused by the PHEVs recharging. In general, the impacts on electric grids caused by recharging PHEVs have been determined; research is now focused to minimize these impacts [11]. In this direction, this paper proposes a heuristic algorithm which allows the integration of PHEVs charging at home in accordance with the housing subscriptions. This algorithm defines the minimum load power that ensures fully charging of the batteries before the next re-use of vehicles while avoiding charging during peak hours so that the PHEVs do not deteriorate the transformers life duration. For this, we exploit the arrival and departure time of PHEVs to their homes and we use databases of domestic DLPs constructed from observed power consumption of electrical domestic devices. For the PHEVs' categories correlated with the batteries' size and the State of Charge (SOC) of these batteries on the arrival time, a probabilistic algorithm for PHEVs connections is used.