The analysis of fuel cells can be divided into two areas, steady state modeling and dynamic modeling. Prior chapters largely focused on the fundamental principles and present practices for modeling the steady state performance of fuel cells and fuel cell systems. For these situations, stable conditions exist at all points in the system, and process performance parameters, such as efficiency, are precisely described. This chapter opens the door to the study of the dynamic behavior of fuel cells and fuel cell stacks. (Full system dynamic analysis, where both stacks and other balance of plant dynamics are modeled, is considered separately in Chapter 8. In this chapter, important capacitive elements in the fuel cell process are identified and modeled. While some inductive-type behavior has been noted within the literature (see Section 9.2.1), little advancement has been made to develop physical models to support such transient behavior for the cell per se; therefore, our attention is focused primarily on capacitive behavior only. These capacitive elements control the rate at which process parameters change due to changes in other coupled process parameters. For example, thermal capacitance controls the rate of cell temperature change due to an imbalance between internal energy sources and boundary energy transfers.There is significant motivation for the dynamic modeling of SOFC components and systems (Bistolfi et al., 1996;Benhaddad and Protkova, 2005). The author of this chapter has participated in the experimental testing of both individual cells and complete fuel cell systems, and it is usual that the greatest concern for failure is during a change in state from one steady operating condition to another. Often the greatest concern exists during startup or shutdown where the unit passes through one of its largest transitions. However, it is not just the magnitude of transition that is important. The speed at which the transition occurs is also of concern. Transitions from one steady state to another that occur slowly (relative to criteria to be given later), can be assumed to be quasi-steady in which the cell/stack simply passes through a series of steady states. Transitions that occur more quickly relative to the R. Bove and S. Ubertini (eds.), Modeling Solid Oxide Fuel Cells,