This thesis applies robust optimization techniques to the design of Lithium-ion batteries with spatially varying porosities. The microstructure of a porous electrode was designed to minimize the Ohmic resistance. The spatial variation in the porosities was found to provide enhanced robustness of the Li-ion battery to uncertainties. This thesis also proposes a robust optimization formulation based on polynomial chaos expansion that is applied in the design of the Li-ion battery and a batch crystallization process. The proposed approach yields an analytic expression for the computation of the variance in the optimization objective that is cheap to evaluate computationally. The estimates of the variance incorporated into the multiobjective optimization were found to be accurate enough for the purposes of robust optimal design.
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Robust optimization techniques and design of Li-ion batteries