A system of domestic appliances is provided, wherein the domestic appliances are operated from a branch of an, in particular public, supply system for electrical energy at a customary system frequency, wherein, in particular, the consumed energy which is supplied to the branch can be detected, and wherein a display and measurement unit is present, allowing the energy consumed by an individual domestic appliance to be displayed and measured. In this case, the functioning thereof for determining the consumption of the individual domestic appliance is based on the analysis of a characteristic structure, which can be assigned to the individual domestic appliance, of current and/or voltage profiles within system period time intervals during operation of the individual domestic appliance, wherein, for individual domestic appliances of which the inherent characteristic structure is small, the characteristic structure can be formed or added to by a structure generator.