Dynamic programming for optimal integration of Plug-in Hybrid Electric Vehicles (PHEVs) in residential electric grid areas

Plug-in Hybrid Electric Vehicles (PHEVs) will strongly penetrate in the car fleet. Based on databases of the houses Daily Loads Profiles (DLPs) and on a probabilistic algorithm of PHEVs connections in residential electric grid areas, this paper determines the minimal charging current or PHEVs charging power which assures that the batteries reached the desired State of Charge (SOC) at the departure time without any charging restriction during peak hours. A dynamic optimization algorithm programming which defines an optimal constant charging current for the PHEV is developed. If charging occurs at home, the application of the proposed optimal algorithm on 10 000 cases shows statistically that a load power chargers for PHEVs charged in residential electric grid areas equals to 373W (230V×1.62A) ensures that 99.4% of the PHEVs batteries have a SOC equals to 100% for the next use.