An electric power control system wherein the system comprises: - one or more electric power consumption elements for which degrees of priorities are given or determined individually, and - a broadcast transmission element configured to deliver information to be shared in a group only by one-way transmission of information to all electric power consumption elements in the group including the one or more electric power consumption elements in a significantly short time compared to a time interval in which controls in the respective one or more electric power consumption elements are performed, wherein said electric power control system is configured so that: - said broadcast transmission element is configured to measure the difference between the current value of the total consumed electric power consumed in the group and a reference value of the total consumed electric power, to determine an indication value for adjusting total consumed electric power as a function of the difference, to create information to be shared in the group representing the indication value for adjusting total consumed electric power, and to transmit the information as broadcast into the group; - said one or more electric power consumption elements are configured to receive the information transmitted as broadcast, and characterised in that; - each one of said one or more electric power consumption elements is configured to calculate, independently from electric power consumption elements of the one or more electric power consumption elements other than the each one and the broadcast transmission element and configured to calculate in parallel, an update value for consumed electric power to be used for update of the each one's own consumed electric power by an operation using the degree of priority given or determined for the each one and the indication value for adjusting total consumed electric power, and to control each one's own consumed electric power based on the update value for consumed electric power to control the total consumed electric power in the group. - one or more electric power consumption elements for which degrees of priorities are given or determined individually, and - a broadcast transmission element configured to deliver information to be shared in a group only by one-way transmission of information to all electric power consumption elements in the group including the one or more electric power consumption elements in a significantly short time compared to a time interval in which controls in the respective one or more electric power consumption elements are performed, wherein said electric power control system is configured so that: - said broadcast transmission element is configured to measure the difference between the current value of the total consumed electric power consumed in the group and a reference value of the total consumed electric power, to determine an indication value for adjusting total consumed electric power as a function of the difference, to create information to be shared in the group representing the indication value for adjusting total consumed electric power, and to transmit the information as broadcast into the group; - said one or more electric power consumption elements are configured to receive the information transmitted as broadcast, and characterised in that; - each one of said one or more electric power consumption elements is configured to calculate, independently from electric power consumption elements of the one or more electric power consumption elements other than the each one and the broadcast transmission element and configured to calculate in parallel, an update value for consumed electric power to be used for update of the each one's own consumed electric power by an operation using the degree of priority given or determined for the each one and the indication value for adjusting total consumed electric power, and to control each one's own consumed electric power based on the update value for consumed electric power to control the total consumed electric power in the group. - said broadcast transmission element is configured to measure the difference between the current value of the total consumed electric power consumed in the group and a reference value of the total consumed electric power, to determine an indication value for adjusting total consumed electric power as a function of the difference, to create information to be shared in the group representing the indication value for adjusting total consumed electric power, and to transmit the information as broadcast into the group; - said one or more electric power consumption elements are configured to receive the information transmitted as broadcast, and characterised in that; - each one of said one or more electric power consumption elements is configured to calculate, independently from electric power consumption elements of the one or more electric power consumption elements other than the each one and the broadcast transmission element and configured to calculate in parallel, an update value for consumed electric power to be used for update of the each one's own consumed electric power by an operation using the degree of priority given or determined for the each one and the indication value for adjusting total consumed electric power, and to control each one's own consumed electric power based on the update value for consumed electric power to control the total consumed electric power in the group.