A device comprising an item of equipment and a switch mode power supply module configured to supply power to said item of equipment, - said item of equipment comprising a capacitive element connected between power supply rails (20a, 20b) and an activation circuit; - said capacitive element being configured to store energy from the switch mode power supply module during a switching operation phase of the switch mode power supply module and to supply the stored energy to said activation circuit during a switching operation interruption phase of the switch mode power supply module; - said switch mode power supply module comprising a switching operation control device, said switching operation control device comprising a switching operation control circuit configured to cyclically interrupt the switching operation during said switching operation interruption phase when a load current flowing in said item of equipment is less than or equal to a first value of said load current, and to sustain the switching operation, during said switching operation phase, when said load current is greater than said load current first value; said device being characterized in that: - said activation circuit of said item of equipment is configured to apply, between said power supply rails (20a, 20b), the voltage present at the terminals of the capacitive element when said item of equipment is started or woken up by an activation signal; - said switching operation control device comprises: a circuit configured to measure the power supply voltage present between the two power supply rails, a circuit configured to compare the measured power supply voltage with a first value of power supply voltage, and said switching operation control circuit is configured to end the switching operation interruption phase when a power supply voltage present between said power supply rails is greater than or equal to said power supply voltage first value. - said item of equipment comprising a capacitive element connected between power supply rails (20a, 20b) and an activation circuit; - said capacitive element being configured to store energy from the switch mode power supply module during a switching operation phase of the switch mode power supply module and to supply the stored energy to said activation circuit during a switching operation interruption phase of the switch mode power supply module; - said switch mode power supply module comprising a switching operation control device, said switching operation control device comprising a switching operation control circuit configured to cyclically interrupt the switching operation during said switching operation interruption phase when a load current flowing in said item of equipment is less than or equal to a first value of said load current, and to sustain the switching operation, during said switching operation phase, when said load current is greater than said load current first value; - said activation circuit of said item of equipment is configured to apply, between said power supply rails (20a, 20b), the voltage present at the terminals of the capacitive element when said item of equipment is started or woken up by an activation signal; - said switching operation control device comprises: