SOFC mathematic model for systems simulations?Part 2: definition of an analytical model

In Part 1 of the present study it was shown that the equations governing SOFC electrochemical behavior must be locally considered, since a zero-dimensional approximation can lead to inaccurate results. Nevertheless, it was also emphasized that a SOFC model must be as simple as possible, when the whole system is simulated and parametric analyses are conducted. In the second part of the study, an analytical, one-dimensional model is developed integrating the local equations previously defined. The results are expected to be more accurate then the ones obtained in part one, since the fuel cell is considered as a reactor where, for example, hydrogen, carbon monoxide and oxygen react while passing through the cell itself. Consequently, the equations take into account the concentration variation of both the anodic and cathodic gas components along the cell. Moreover, for the anodic gas, the water-shift reaction is also considered.