FUEL CELL SYSTEM

The present invention relates to a fuel cell system comprising a fuel supply unit, at least one high-temperature fuel cell having a cathode and an anode and an electrolyte between the cathode and anode. The cathode has a cathode supply line and the anode has an anode supply line, wherein the anode is fluidically connected via the anode supply line to the fuel supply unit. Furthermore, a reforming device is arranged in the anode supply line. In addition, an anode exhaust gas line is provided for at least discharging anode exhaust gas from the anode. The fuel cell system has an exhaust gas heat exchanger for cooling exhaust gas and a recirculation conveyor for returning anode exhaust gas to the reforming device. The recirculation conveyor and the exhaust gas heat exchanger are connected to one another in fluid communication for respective cooling via a common cooling circuit, which has a central cooling fluid store as a fluid source with a heat exchanger and in which cooling fluid can be circulated in a cooling line. In addition, the cooling circuit has at least one pump for conveying cooling fluid. The invention further relates to a method for cooling a fuel cell system.