Battery management system for controlling an energy storage assembly, which has a plurality of storage modules (11, 12, 13, 14) electrically connected in series, wherein the battery management system comprises: a measuring device for detecting at least one value of a physical quantity of the storage modules (11, 12, 13, 14), a control device, which is suitable for limiting a discharging current drawn from the storage modules (11, 12, 13, 14) during discharging, as a function of the detected value of a physical quantity of at least one of the storage modules (11, 12, 13, 14), or for limiting a charging current supplied to the storage modules (11, 12, 13, 14) when charging, a storage device for storing values of the detected physical quantities and/or change values for physical quantities of the storage modules (11, 12, 13, 14), characterized in that the control device is configured so as to limit the discharge current or the charging current, based on a check of whether a value of a physical quantity of one of the storage modules (11, 12, 13, 14) changes more quickly during charging or discharging than the corresponding values of the physical quantity of the other storage modules (11, 12, 13, 14) of the energy storage assembly, or whether a value of a physical quantity of one of the storage modules (11, 12, 13, 14) changes more quickly than a change value stored in the storage device for the physical quantity, and wherein the control device is configured in such a way as to reduce the charging current limitation or the discharge current limitation, if the change in the value of the physical quantity of the corresponding storage module (11, 12, 13, 14) no longer differs from the change values of the physical quantity of the other storage modules or reaches a predefined change value of the physical quantity. a measuring device for detecting at least one value of a physical quantity of the storage modules (11, 12, 13, 14), a control device, which is suitable for limiting a discharging current drawn from the storage modules (11, 12, 13, 14) during discharging, as a function of the detected value of a physical quantity of at least one of the storage modules (11, 12, 13, 14), or for limiting a charging current supplied to the storage modules (11, 12, 13, 14) when charging, a storage device for storing values of the detected physical quantities and/or change values for physical quantities of the storage modules (11, 12, 13, 14), characterized in that the control device is configured so as to limit the discharge current or the charging current, based on a check of whether a value of a physical quantity of one of the storage modules (11, 12, 13, 14) changes more quickly during charging or discharging than the corresponding values of the physical quantity of the other storage modules (11, 12, 13, 14) of the energy storage assembly, or whether a value of a physical quantity of one of the storage modules (11, 12, 13, 14) changes more quickly than a change value stored in the storage device for the physical quantity, and wherein the control device is configured in such a way as to reduce the charging current limitation or the discharge current limitation, if the change in the value of the physical quantity of the corresponding storage module (11, 12, 13, 14) no longer differs from the change values of the physical quantity of the other storage modules or reaches a predefined change value of the physical quantity.