Method for controlling the electric charging process of a group of vehicles which are electrically connected to a power supply system of a power supply system operator, wherein the respective vehicles draw current from the power supply system for charging a vehicle-side energy storage device for driving the respective vehicle, wherein one or more parameters to be adhered to for the charging operation of the energy storage device of the respective vehicles are defined, and a user of a respective vehicle can alter at least some of these parameters using a respective user interface, wherein a central control system can communicate with the respective vehicles in the group and with a server (SE') of the power supply system operator, characterized in that - the central control system performs a power reduction operation in accordance with a reduction scheme in response to a received reduction command, wherein the reduction command originates from the server (SE') of the power supply system operator and defines a power amount by which the power uptake of the group of vehicles from the power supply system needs to be decreased, and wherein the reduction scheme is determined by the central control system on the basis of the power amount of the reduction command and specifies a temporary suspension of the charging operation of the energy storage device of one or more preset vehicles in the group in such a way that the decrease in the power uptake of the group of vehicles by the power amount in accordance with the received reduction command is achieved, wherein participation in the power reduction operation is permitted for the preset vehicle(s), and a deviation from the parameter(s) of the charging operation of the preset vehicle (s) is allowed for the power reduction operation; - in the event that, after reception of the reduction command and prior to or during the power reduction operation, the charging operation of the energy storage device of at least one preset vehicle is altered by the user by means of altering at least one of its parameters, a check is performed by the central control system to ascertain whether a preset criterion has been met, wherein the preset criterion has been met when the adherence to the parameter(s) of the altered charging operation does not shorten the temporary suspension of the charging operation of the energy storage device of the at least one preset vehicle in accordance with the reduction scheme; - in the event that the preset criterion has been met, the power reduction operation in accordance with the reduction scheme with the participation of the at least one preset vehicle in the power reduction operation and whilst adhering to the parameter(s) of the altered charging operation is begun or continued by the central control system, and otherwise a new reduction scheme is determined by the central control system on the basis of the power amount of the reduction command without the participation of the at least one preset vehicle, whereupon the power reduction operation in accordance with the new reduction scheme is begun by the central control system. - the central control system performs a power reduction operation in accordance with a reduction scheme in response to a received reduction command, wherein the reduction command originates from the server (SE') of the power supply system operator and defines a power amount by which the power uptake of the group of vehicles from the power supply system needs to be decreased, and wherein the reduction scheme is determined by the central control system on the basis of the power amount of the reduction command and specifies a temporary suspension of the charging operation of the energy storage device of one or more preset vehicles in the group in such a way that the decrease in the power uptake of the group of vehicles by the power amount in accordance with the received reduction command is achieved, wherein participation in the power reduction operation is permitted for the preset vehicle(s), and a deviation from the parameter(s) of the charging operation of the preset vehicle (s) is allowed for the power reduction operation; - in the event that, after reception of the reduction command and prior to or during the power reduction operation, the charging operation of the energy storage device of at least one preset vehicle is altered by the user by means of altering at least one of its parameters, a check is performed by the central control system to ascertain whether a preset criterion has been met, wherein the preset criterion has been met when the adherence to the parameter(s) of the altered charging operation does not shorten the temporary suspension of the charging operation of the energy storage device of the at least one preset vehicle in accordance with the reduction scheme; - in the event that the preset criterion has been met, the power reduction operation in accordance with the reduction scheme with the participation of the at least one preset vehicle in the power reduction operation and whilst adhering to the parameter(s) of the altered charging operation is begun or continued by the central control system, and otherwise a new reduction scheme is determined by the central control system on the basis of the power amount of the reduction command without the participation of the at least one preset vehicle, whereupon the power reduction operation in accordance with the new reduction scheme is begun by the central control system.