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Question:

How big would a Solid Oxide Fuel Cell (SOFC) have to be to get a 1500kW output?

For that matter, how much gas would i need to input into the cell to get that type of output?

Answer:

Here is something from a Smithsonian article: SOFC-microturbine cogeneration unit will be evaluated by the National Fuel Cell Research Center and Southern California Edison. The fuel cell was built by Siemens Westinghouse and the microturbine by Northern Research and Engineering Corporation. According to Siemens Westinghouse, the 220 kw SOFC operated for nearly 3400 hours, and achieved an electrical efficiency of about 53%. So to get 53% efficiency this cell operated in excess of 1800F. This high heat causes the cell membrane to have a rather short life. In this case this was considered a success because the cell lasted 3400 hours before it disintegrated. 1500kw is a lot of power (1,500,000 watts). It takes one cubic foot of hydrogen to generate 270 btu/c.f. 3413 btu's to generate one kilowatt-hour 3413 btu/ 270 btu 12.64 cubic feet of hydrogen per kilowatt hour 12.64 + 53% efficiency 19.34 cubic feet of hydrogen per kilowatt hour hydrogen gas to produce 1500 kw 19.34 X 1500kw 29,009 cubic feet of hydrogen required per hour to generate 1500kW In this cell air is used instead of oxygen which is why efficiency is 53%. If pure oxygen is used efficiency was closer to 65%. If oxygen is supplied approximately 30,000 cubic feet per hour must be supplied (oxygen is supplied in excess)

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