A power supply method an apparatus for powering electrical equipment, the electrical equipment operated by using current peaks. The electrical equipment may be connected via at least one capacitive element to a voltage converter which may be connected to a storage battery. The voltage converter may be current-regulated from a reference current. The reference current may correspond to an average current between two peaks (generally corresponding to one cycle of operation). The reference current may be calculated in a predictive manner and the reference current may include a correction factor. The voltage output from the voltage converter may be maintained between an upper limit and a lower limit.