Fig. 4: The intermittent characteristic of power consumption fluctuations.
From: Data-driven load profiles and the dynamics of residential electricity consumption
a The total power consumption P is a sum of the trend consumption Ptrend, obtained by the EMD method described in the previous section and fluctuations Pfluc.. We record the difference between trend and real demand as the fluctuation trajectory. For the purpose of clarity only a single day is shown here. b The probability density function (PDF) of the consumption fluctuation does not follow a Gaussian distribution but is better described by a q-Maxwell–Boltzmann distribution, especially on the right flank. The histogram uses the whole NOVAREF dataset. Alongside the Gaussian, we show a stable and Maxwell–Boltzmann (MB) distribution. The q-Maxwell–Boltzmann parameters are determined by the methods of moments. See also Supplementary Note 4 for further details.
