Battery system, comprising at least three series-connected battery cells (Z 1, Z 2, Z 3), wherein a first battery cell (Z 1) is connected to a second battery cell (Z 2), and the second battery cell (Z 2) is connected to a third battery cell (Z 3); at least one switching means (Q 2); at least two rectifying means (D b3, D b4) which are designed to permit a current flow only in one direction; and at least one energy storage means (L b4) for temporarily storing energy stored in the battery system, wherein the at least one energy storage means (L b4) is formed by the secondary winding (L b4) of at least one transformer and is designed to temporarily store energy stored in the second battery cell (Z 2) after the switching-on of the at least one switching means (Q 2), wherein a first end of the at least one switching means (Q 2) is conductively connected to a first pole of the second battery cell (Z 2), a second end of the at least one switching means (Q 2) is conductively connected to a first end of the secondary winding (L b4) of the at least one transformer, and a second end of the secondary winding (L b4) of the at least one transformer is conductively connected to a second pole of the second battery cell (Z 2), characterized in that a first end of the primary winding (L b3) of the at least one transformer is conductively connected to the first pole of the second battery cell (Z 2), and the at least two rectifying means (D b3, D b4) are arranged in such a way that a first end of the first rectifying means (D b3) is conductively connected to a second end of the primary winding (L b3) of the at least one transformer, and a second end of the first rectifying means (D b3) is conductively connected to the first pole of the first battery cell (Z 1), and a first end of a second rectifying means (D b4) is conductively connected to the first end of the secondary winding (L b4) of the at least one transformer, and a second end of the second rectifying means (D b4) is conductively connected to the second pole of the third battery cell (Z 3), whereby after the switching-off of the at least one switching means (Q 2) energy stored in the at least one energy storage means (L b4) is fed to the first battery cell (Z 1) if the ratio of the voltage of the first battery cell (Z 1) to the voltage of the third battery cell (Z 3) is lower than the ratio of the setpoint voltage of the first battery cell (Z 1) to the setpoint voltage of the third battery cell (Z 3), and energy stored in the at least one energy storage means (L b4) is fed to the third battery cell (Z 3) if the ratio of the voltage of the first battery cell (Z 1) to the voltage of the third battery cell (Z 3) is higher than the ratio of the setpoint voltage of the first battery cell (Z 1) to the setpoint voltage of the third battery cell (Z 3). at least three series-connected battery cells (Z 1, Z 2, Z 3), wherein a first battery cell (Z 1) is connected to a second battery cell (Z 2), and the second battery cell (Z 2) is connected to a third battery cell (Z 3); at least one switching means (Q 2); at least two rectifying means (D b3, D b4) which are designed to permit a current flow only in one direction; and at least one energy storage means (L b4) for temporarily storing energy stored in the battery system, the at least one energy storage means (L b4) is formed by the secondary winding (L b4) of at least one transformer and is designed to temporarily store energy stored in the second battery cell (Z 2) after the switching-on of the at least one switching means (Q 2), wherein a first end of the at least one switching means (Q 2) is conductively connected to a first pole of the second battery cell (Z 2), a second end of the at least one switching means (Q 2) is conductively connected to a first end of the secondary winding (L b4) of the at least one transformer, and a second end of the secondary winding (L b4) of the at least one transformer is conductively connected to a second pole of the second battery cell (Z 2), a first end of the primary winding (L b3) of the at least one transformer is conductively connected to the first pole of the second battery cell (Z 2), and the at least two rectifying means (D b3, D b4) are arranged in such a way that a first end of the first rectifying means (D b3) is conductively connected to a second end of the primary winding (L b3) of the at least one transformer, and a second end of the first rectifying means (D b3) is conductively connected to the first pole of the first battery cell (Z 1), and a first end of a second rectifying means (D b4) is conductively connected to the first end of the secondary winding (L b4) of the at least one transformer, and a second end of the second rectifying means (D b4) is conductively connected to the second pole of the third battery cell (Z 3), whereby after the switching-off of the at least one switching means (Q 2) energy stored in the at least one energy storage means (L b4) is fed to the first battery cell (Z 1) if the ratio of the voltage of the first battery cell (Z 1) to the voltage of the third battery cell (Z 3) is lower than the ratio of the setpoint voltage of the first battery cell (Z 1) to the setpoint voltage of the third battery cell (Z 3), and energy stored in the at least one energy storage means (L b4) is fed to the third battery cell (Z 3) if the ratio of the voltage of the first battery cell (Z 1) to the voltage of the third battery cell (Z 3) is higher than the ratio of the setpoint voltage of the first battery cell (Z 1) to the setpoint voltage of the third battery cell (Z 3).