Fuel cell system having a fuel cell, a hydrogen storage tank, and an anode circuit

A fuel cell system has at least one fuel cell, a hydrogen storage tank in which hydrogen is stored at a pressure above atmospheric and which communicates via a hydrogen supply line with an anode chamber of the fuel cell. An anode circuit, via which unreacted hydrogen is able to be recirculated from a region downstream of the anode chamber into the hydrogen supply line, is provided. At least one pumping device is provided between the outlet of the anode chamber and its inlet in the anode circuit and/or the hydrogen supply line. Between the hydrogen storage tank and the anode chamber, a turbine is provided, which supplies at least a portion of the power required for driving the pumping device.