Nonlinear Model Reduction of a Two‐Dimensional MCFC Model with Internal Reforming

Abstract

A reduced nonlinear model of a planar molten carbonate fuel cell is presented. The model is derived from a spatially distributed dynamic model of the cell by applying the Karhunen Loève Galerkin procedure. The reduced model is of considerably lower order than the original one and requires much less computation time. The comparison between the two models shows that the reduced model can describe the dynamics of the temperature field with sufficient accuracy and has good extrapolation qualities with respect to changes in the model parameters.

Reduced basis method for finite volume approximations of parametrized linear evolution equations

“…More complex systems of algebro-differential equations can also be treated by Galerkin projection approaches. For instance model reduction of a fuel-cell is successfully performed in [23].…”

A strategy for the spatial temperature control of a molten carbonate fuel cell system

“…To make the proposed control scheme applicable in practice, a state estimator or observer is required. Such state estimation techniques were developed in previous work [6,10] based on a reduced MCFC model [11]. It could be shown that the developed observers provide accurate estimates of the spatial temperature profile, but use only a small amount of CPU time.…”

“…A reduced version of the model, which is more suitable for process control purposes, has been derived in [10,11]. …”

Effect of inlet flow maldistribution on the thermal and electrical performance of a molten carbonate fuel cell unit

“…Furthermore, the limiting diffusion conditions must also be correctly evaluated for the local temperature and pressure drops. Recently, Mangold and Sheng [10] applied a reduced nonlinear model to solve a planar molten carbonate fuel cell with cross-flow. Since the reduced model was of the lower order than the original model, it markedly reduced the computational time.…”