integration of solid oxide fuel cells and ... - Ea Energianalyse

3.12. Solid Oxide Fuel Cell - SOFC
Current and power
The electric current will be proportional to the mole flow of the reacted
Hydrogen, the number of electrons per mole Hydrogen, and Faraday’s
constant. And the current becomes:
I SOFC =ṅ H2 ,c 2F (3.90)
i d = I SOFC
A cell
(3.91)
The electrical gross power of the cell will then be:
Ẇ SOFC = V SOFC I SOFC (3.92)
A control volume is put around the SOFC component, and the first law
of thermodynamics is applied on this. Potential and kinetic energy is
neglected, so the energy balance becomes as follows:
Ḣ i − Ḣ o −Ẇ SOFC − ˙Q loss = 0 (3.93)
Ḣ i and Ḣ o are the total enthalpy flow rates for in- and out-lets (cathode
plus anode). Hereby the enthalpy and hence temperature at the outlet
can be determined. ˙Q loss is the heat lost directly to the surroundings.
Pressure losses
The pressure losses in the anode and cathode can be different, and are set
by the parameters ∆p a and ∆p c .
p a,o =p a,i + ∆p SOFC ,a (3.94)
p c,o =p c,i + ∆p SOFC ,c (3.95)
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