Liquid fuel direct supply fuel cell system and its operation controlling method and controller

A liquid fuel direct supply fuel cell system capable of being operated under optimal conditions. A plurality of cells each having an anode and a positive electrode disposed oppositely through an electrolytic film and being fed, respectively, with liquid fuel and oxidizing agent gas are connected in series as a power generating section (11), which is then provided with a sensor section (12) for detecting the concentration of the liquid fuel in association with a temperature detected by a temperature detecting element thus producing a cell stack (1), and a controller (7) controls high concentration fuel supply amount from a high concentration fuel tank (5) to a fuel tank (2) based on an output signal from the sensor section (12).