Electrical battery device having at least one module string, in which multiple module units each including at least one battery module are electrically interconnected one after another in a series, wherein one end of the series is electrically connected to a respective battery terminal of the battery device. A respective bridging circuit is provided in the at least one module string in each case for each of its module units, which is configured to alternately bridge the respective module unit and interrupt the bridging again in dependence on a switching signal, wherein a control unit is configured to bridge at least some of the module units in chronological succession and chronologically thereafter to interrupt the bridgings again by setting the switching signal in periodically successive switching sequences.