ENERGY SUPPLY SYSTEM

An energy supply system has a switch, which in an on state connects first conductors of a first line to second conductors of a second line and in an off state disconnects the first conductors of the first line from the second conductors of the second line. A measurement apparatus determines a difference value characterizing the phase difference between a first AC voltage signal at one first conductor and a second AC voltage signal at one second conductor. A control apparatus outputs a command via a signal transmission apparatus depending on the phase difference value. The first command enables a vehicle connected to the charging station to change the phase position of a fed-in AC voltage signal in the feed-in mode to reduce the phase difference, and the control apparatus enables a first change of state of the switch from the off state to the on state.