This paper presents a model order reduction (MOR) method for modeling and estimation of a first-principles electrochemical Lithium-ion battery. The MOR approach combines the Galerkin method with coordinate transformation and is applied to solve the spherical diffusion problem with non-zero flux boundary conditions. The order of the reduced-order model (ROM) is carefully selected based on analysis in the frequency domain. With the reduced-order diffusion model, an enhanced single particle model which incorporates the electrolyte dynamics is developed and validated against the experimental data.

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