NOVELTY - The system (10) has a set of charging stations (5) coupled to a electricity network (2) by a power delimiter (4) having an adjustable power limit (Pmax1), where the delimiter delimits the power supplied by the network to the stations. A network management system (3) is provided with a controller (13) for adjusting the power limit in the delimiter depending on varying power consumption of the network. The network management system is communicatively coupled to a charging station management system (6) to communicate changes in the power limit before setting the power limit.    USE - System for managing electrical power from an electricity network to a set of charging stations charging a rechargeable power unit i.e. battery of an electric vehicle and/or vice versa. Can also be used for charging power units from an electric appliance, lighting, a motor from factories, offices, houses, wind turbine, solar panel and compressed air energy system.    ADVANTAGE - The charging stations can adapt to a new situation and decide switching-off of the sub circuits or recharging stations by the stations, by communicating changes of allowed maximum power to the charging station before effectively setting power limit, so that unwanted switching-off of the sub-circuits or the recharging points can be avoided. The system can dynamically increase price of electricity during heavy network load, so that a network administrator can decrease the demand for electricity, and less power can be consumed, thus providing stability to the network.    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is also included for a method for managing electrical power supplied from an electricity network to a set of charging stations and/or vice versa.    DESCRIPTION OF DRAWING(S) - The drawing shows a block diagram of a system for managing electrical power from an electricity network to a set of charging stations.    Adjustable power limit of delimiter (Pmax1)    Electricity network (2)    Network management system (3)    Power delimiter (4)    Charging stations (5)    Charging station management system (6)    System for managing electrical power from an electricity network to a set of charging stations (10)    Controller (13)