Method for analyzing the electricity consumption of a site equipped with a plurality of different pieces of electrical equipment, comprising at least one step of periodically measuring the current and the voltage on at least one of the electrical phases upstream of the power network of the site, as well as processing consisting in: - sampling at least the current signal at a frequency at least 30 times greater than the fundamental frequency of the electrical supply voltage - applying a Fourier Transform over each fundamental period of the current signal at least - proceeding with a temporal smoothing of said transformed signal by calculating a temporal average over a characteristic period of change in behavior of the pieces of equipment of the network, said period being sufficiently long with respect to the carrier period and sufficiently short as not to overlap a plurality of events, - forming a database of signatures adapted to the site studied during a first implementation step, consisting in: o recording a matrix of signatures which are obtained for a plurality of modeled apparatuses by aggregating the different voltage and current waveform measurements captured while the modeled apparatus is supplied by a series of different voltage waveforms o iteratively changing the parameters of the signatures by a minimization algorithm consisting in testing, at each iteration, an estimation of the matrix of signatures by calculating, for said estimation of the matrix of signatures, the temporal consumption curves and by calculating, from the consumption curves, the objective function to be minimized for updating this estimation of the matrix of signatures as a function of the values of the objective function which were obtained throughout the estimation - subsequently using the database of reference signatures to qualify the events occurring on the network. - sampling at least the current signal at a frequency at least 30 times greater than the fundamental frequency of the electrical supply voltage - applying a Fourier Transform over each fundamental period of the current signal at least - proceeding with a temporal smoothing of said transformed signal by calculating a temporal average over a characteristic period of change in behavior of the pieces of equipment of the network, said period being sufficiently long with respect to the carrier period and sufficiently short as not to overlap a plurality of events, - forming a database of signatures adapted to the site studied during a first implementation step, consisting in: o recording a matrix of signatures which are obtained for a plurality of modeled apparatuses by aggregating the different voltage and current waveform measurements captured while the modeled apparatus is supplied by a series of different voltage waveforms o iteratively changing the parameters of the signatures by a minimization algorithm consisting in testing, at each iteration, an estimation of the matrix of signatures by calculating, for said estimation of the matrix of signatures, the temporal consumption curves and by calculating, from the consumption curves, the objective function to be minimized for updating this estimation of the matrix of signatures as a function of the values of the objective function which were obtained throughout the estimation o recording a matrix of signatures which are obtained for a plurality of modeled apparatuses by aggregating the different voltage and current waveform measurements captured while the modeled apparatus is supplied by a series of different voltage waveforms o iteratively changing the parameters of the signatures by a minimization algorithm consisting in testing, at each iteration, an estimation of the matrix of signatures by calculating, for said estimation of the matrix of signatures, the temporal consumption curves and by calculating, from the consumption curves, the objective function to be minimized for updating this estimation of the matrix of signatures as a function of the values of the objective function which were obtained throughout the estimation - subsequently using the database of reference signatures to qualify the events occurring on the network.