A method for dynamically compensating for the offset error of an acquisition system includes a current sensor to measure or estimate the current passing through an actuator of a electrical apparatus that is electrically supplied by an AC voltage, the acquisition system having a predetermined offset value, the method includes determining a plurality of periodic temporal operating ranges of the actuator in order to dynamically apply a compensation sequence for the offset error of the acquisition system, executing the compensation sequence during any one among the plurality of determined temporal operating ranges, the synchronization between the any one of the determined temporal operating ranges of the actuator and the execution of the compensation sequence being performed using a synchronization system including a synchronization module designed to identify reference times from the AC supply voltage of the sector.