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A fuel cell arrangement has at least one fuel cell with an anode and a cathode. A compressor arranged in the admission flow path of the cathode supplies air to the cathode, and a reforming unit with a reformer and a thermally coupled heating chamber is arranged in the admission flow path of the anod

A fuel cell arrangement has at least one fuel cell with an anode and a cathode. A compressor arranged in the admission flow path of the cathode supplies air to the cathode, and a reforming unit with a reformer and a thermally coupled heating chamber is arranged in the admission flow path of the anode supplies the anode with a hydrogen-rich medium. A catalytic burner arranged in the cathode off-gas flow path between cathode and an expansion machine is coupled to drive the compressor. The heating chamber of the reforming unit or of an evaporator unit arranged in the admission flow path of the anode is arranged in the cathode off-gas flow path; and the expansion machine is arranged in the cathode off-gas flow path between catalytic burner and the heating chamber.

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1. A method of operating a fuel cell system having at least one fuel cell, with one of a reforming unit and an evaporating unit for providing fuel to the at least one fuel cell, said at least one fuel cell having an anode side and a cathode side, said method comprising: supplying at least on off-

1. A method of operating a fuel cell system having at least one fuel cell, with one of a reforming unit and an evaporating unit for providing fuel to the at least one fuel cell, said at least one fuel cell having an anode side and a cathode side, said method comprising: supplying at least on off-gas from said cathode side to a catalytic burner; burning said off-gas in said catalytic burner, thereby heating it to a first temperature; routing said heated off-gas from said catalytic burner to an expansion machine, where it is cooled to a second, lower temperature; and feeding a gas output from said expansion machine to a heating chamber of said reforming or evaporating unit, where it is cooled to a third temperature, lower than said first and second temperatures. 2. The method according to claim 1, wherein said expansion machine drives a compressor for supplying pressurized reactant gas to said cathode side of said at least one fuel cell. 3. The method according to claim 1, wherein in flowing through the catalytic burner the cathode off-gas is heated to a first temperature between 450° C. and 900° C. 4. The method according to claim 1, wherein in flowing through the expansion machine the cathode off-gas is cooled by a temperature reduction between 50° C. and 200° C. 5. The method according to claim 1, wherein said third temperature is less than 200° C. 6. The method according to claim 1, wherein a metered supply of combustible material is delivered to the catalytic burner for combustion of the cathode off-gas. 7. The method according to claim 6, wherein the metered supply of combustible material into the catalytic burner is delivered as a function of a desired temperature of a medium in the heating chamber of the reforming and/or evaporator unit. 8. The method according to claim 6, wherein one of anode off-gas and fuel is used as combustible material. 9. The method according to claim 6, wherein: the metered supply of combustible material into the catalytic burner is controlled based on a temperature drop of the cathode off-gas over the expansion machine; and said temperature drop is determined from a characteristics map in a control device, as a function of a pressure ratio of the expansion machine. 10. The method according to claim 1, wherein: the expansion machine and the compressor interact as a generator utilizing heat supplied by heating of the cathode off-gas in the catalytic burner; and the generator provides electrical energy to an electrical drive of the compressor.