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 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 , the voltage present at the terminals of the capacitive element when said item of equipment is started or woken up by an activation signal (C1); - 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 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 , the voltage present at the terminals of the capacitive element when said item of equipment is started or woken up by an activation signal (C1); - said switching operation control device comprises: <EOS>