This paper presents a model that describes the performance of solid oxide fuel cells (SOFC) under different designs such as cathode, electrolyte and anode supported designs. The effects of the pore size, porosity and tortuosity on the predictions are also discussed in details. Sensitivity analyses have been performed to examine the effect of the parameters on the power density of SOFC. Result shows that the higher power density can be achieved in the anode supported cell rather than other designs for its wider operation current density range. It also can be shown that both increases in the value of the structural parameter C (the ratio of porosity to tortuosity) and mean pore radius can increase the power density of SOFC, but the former has more significant effect on the output of cell than the latter.