A method is provided for smoothing of an overall load curve. The method includes aggregation of a plurality of elementary load curves. In one example, the method makes provision to determine (S1) a regulation period di associated with the load i; determine and store each elementary load curve by obtaining (S2) a plurality of measured consumption samples with a sampling period Tech that is a submultiple of each regulation period di. Starting from a reference time common to all of the loads, the method time-shifts (S3) the operation of each load i by a random shift Δti depending on the sampling period Tech, on the regulation period di determined for the load i and on a random integer value Ni associated with the load i.