The invention relates to a method of stabilization between a high frequency and a low frequency, of an electrical network supplying several sub-networks (22), each sub-network comprising a sub-network manager (24) and supplying N consumer sites (28), each site, j, comprising sheddable loads (34), the method comprising for each sub-network the following steps: ensuring a communication between each site and the sub-network manager thereof; periodically measuring the value of the sheddable power in consumed at each site; deducing for each site an estimated sheddable power; and dispatching to each site j (28) a threshold frequency, such that sheddable loads (34) of this site are unplugged when the frequency of the network drops below the threshold frequency, in which the sub-network manager (24) calculates the threshold frequencies in such a way that the variation of the sheddable powers as a function of frequency is substantially linear.
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