A computationally efficient implementation of a full and reduced-order electrochemistry-based model for Li-ion batteries. (15th December 2017)

• Record Type: Journal Article
• Authors: Xia, L.; Najafi, E.; Li, Z.; Bergveld, H.J.; Donkers, M.C.F.
• Is Part Of: Applied energy. Volume 208(2017)
• Page Start: 1285
• Page End: 1296
• Publication Date: 2017-12-15
• Subjects: Lithium-ion batteries -- Electrochemistry-based model -- Partial differential equations -- Model order reduction -- Proper orthogonal decomposition; Power (Mechanics) -- Periodicals; Energy conservation -- Periodicals; Energy conversion -- Periodicals; 621.042
• DOI: 10.1016/j.apenergy.2017.09.025
• Languages: English
• ISSNs: 0306-2619

Abstract

Highlights: A computationally efficient implementation of the DFN model is proposed. Nonlinear model reduction is applied for the first time to the full nonlinear model. The implementation uses a particular numerical scheme based on Newton's method. This implementation is a step towards using the DFN model in real-time applications. Abstract: Lithium-ion batteries are commonly employed in various applications owing to high energy density and long service life. Lithium-ion battery models are used for analysing batteries and enabling power control in applications. The Doyle-Fuller-Newman (DFN) model is a popular electrochemistry-based lithium-ion battery model which represents solid-state and electrolyte diffusion dynamics and accurately predicts the current/voltage response using a set of nonlinear partial differential equations. However, implementation of the full DFN model requires significant computation time. This paper proposes a computationally efficient implementation of the full DFN battery model, which is convenient for real-time applications. The proposed implementation is based on applying model order reduction to a spatial and temporal discretisation of the governing model equations. For model order reduction, we apply proper orthogonal decomposition and discrete empirical interpolation method, which leads to a set of reduced order nonlinear algebraic equations. These equations are solved using a particular numerical scheme, based on a damped Newton's method. In a simulation study, the computational efficiency of the proposed implementation is shown and the resulting accuracy is presented.