The present invention provides a method of operating a fuel cell system and a fuel cell system that can adjust the operating pressure of the fuel cell system to maximize efficiency. This present invention recognizes that under certain operating conditions appropriately matched operating pressures enable a substantially more efficient system operation. The method of the present invention and the fuel cell system of the present invention incorporate the recognition that a higher system efficiency can be achieved when the operating pressure produced by the air compressor is matched to the prevailing operating temperature of the fuel cell system.