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Basis: 1.0 ft3 of Fuel Gas Fuel Gas Fuel mol Volume Stoichiometric Factor62 for Gas to H2O 2.0 0.0 0.0 1.0 0.0 Water LHV to HHV Volume Adjustment (ft3) (Btu/ft3) 0.08 4.0 0.00 0.0 0.00 0.0 0.75 37.5 0.00 0.0 0.83 41.5. Constituent percent (ft3) CH4 4.0 CO 0.4 CO2 17.6 H2 75.0 H2O 3.0 T otal 100.0 0.04 0.004 0.176 0.75 0.03 1.00 Thus, the LHV can be estimated from the HHV of 285.6 Btu/ft3 as 246.1 Btu/ft3 (285.6 - 41.5= 244.1 Btu/ft3). 9.4 Cost Calculations This section presents information on developing the Cost of Electricity (COE), as well as information for the development of capital costs. 9.4.1 CostofElectricity Three major components are considered in the computation of the COE for a fuel cell power plant: 1) capital cost, 2) fuel cost and 3) operation and maintenance costs. The cost of electricity ($/MWh) can be calculated using these parameters as follows: COE = 0.125CC + 3.412 FC + O&M H εs H where 0.125 is a typical capital recovery rate (excluding taxes and insurance), CC is the capital cost ($/kW), FC is the fuel cost ($/106 Btu), 3.412 is the theoretical heat rate for 100 percent efficiency (3412 Btu/kWh) divided by 1000 for units consistency, εs is the fractional efficiency, H is the annual operating hours divided by 1000, and O&M is the operating and maintenance cost ($/kW-yr total, including fixed and variable costs). Example 9-15 Cost of Electricity Given a capital cost of $1000/kW, a fuel cost of $2 per MMBtu, a net plant efficiency of 40 percent (LHV), 6000 operating hours, and a total O&M cost of $20/kW-yr, what is the estimated cost of electricity? Solution: COE = (0.125)(1000) + (3.412) (2) + (20) 6 0.40 6 62 For example, for CH4, which combusts to 2 H2O, the stoichiometric factor is two. The stoichiometric factor is the number of water molecules produced per fuel molecule in complete combustion. 9-25PDF Image | Fuel Cell Handbook (Seventh Edition)
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