A device is provided for managing the current consumption peak on each powering-up of a domain in an electronic circuit. A plurality of domains are present and a global power supply grid provides power. Each domain is selectively supplied by a local supply grid connected to the global supply grid via a plurality of commanded switch transistors. A pre-charge transistor is used to pre-charge a domain at powering-up. A command circuit controls operation of the switch transistors through an analog command signal whose slew rate is controlled to ensure that switch transistor conduction is delayed to enable the pre-charge circuit to charge the domain to a sufficient degree that activation of the switch transistor will not draw excessive current. A detection circuit is configured to compare the instant value of the supply voltage with a fixed reference supply voltage and/or to compare, with the value of a fixed command voltage, the instant value of the differential voltage between the global supply voltage and the command voltage.