Abstract
The transport equations for the ions and electrons in a mixed conductor are considered. An exact solution of these equations in the steady state is given for a fixed ion concentration. Explicit analytic expressions are derived for the variation of electron concentration with position and applied voltage. From this, the electron chemical potential variations within the mixed conductor can be obtained. Explicit analytic expressions are also derived for the dependence of the current on the external voltage. The power output and energy conversion efficiency are then calculated for a fuel cell based on a mixed conductor. An example is discussed quantitatively. It is a high temperature fuel cell based on doped ceria and operating at 800°C.
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