2010
DOI: 10.1115/1.4002475
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Lithium-Ion Battery State of Charge and Critical Surface Charge Estimation Using an Electrochemical Model-Based Extended Kalman Filter

Abstract: This paper presents a numerical calculation of the evolution of the spatially resolved solid concentration in the two electrodes of a lithium-ion cell. The microscopic solid concentration is driven by the macroscopic Butler–Volmer current density distribution, which is consequently driven by the applied current through the boundary conditions. The resulting, mostly causal, implementation of the algebraic differential equations that describe the battery electrochemical principles, even after assuming fixed elec… Show more

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Cited by 328 publications
(181 citation statements)
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“…Various battery models have been proposed so far, including black-box models (e.g., stochastic fuzzy neural network model [16]), grey-box models (e.g., electrical circuit model [25]), and white-box models (e.g., battery electrochemical model [26]). The dynamics of the electrical states of Li-ion batteries can be precisely modeled using electrical battery models.…”
Section: Battery Rc Electric Sub-modelmentioning
confidence: 99%
“…Various battery models have been proposed so far, including black-box models (e.g., stochastic fuzzy neural network model [16]), grey-box models (e.g., electrical circuit model [25]), and white-box models (e.g., battery electrochemical model [26]). The dynamics of the electrical states of Li-ion batteries can be precisely modeled using electrical battery models.…”
Section: Battery Rc Electric Sub-modelmentioning
confidence: 99%
“…The electrochemical model is actually based on a series of differential algebraic equations describing the internal potential and ion diffusion. The specific equations and boundary conditions are shown in Table 1 [23], which an ideal model can be constructed from, and the detailed derivation process can be referenced to [14]. = 0…”
Section: Average Electrode Modelmentioning
confidence: 99%
“…Then, the terminal voltage can be simplified as a polynomial expressed by the average values at the positive and negative electrodes in accordance with the boundary conditions in the table. The specific derivation process can be referred to [14], and the voltage output Equation is:…”
Section: Average Electrode Modelmentioning
confidence: 99%
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“…[6][7][8][9][10][11][12][13][14][15][16] Also, ROMs have been published to simulate capacity fading 17,18 and for use in parameter estimations. [19][20][21][22][23][24] The single particle model dates back to 1979, when Atlung et al 2 presented a relatively simple cell model for the Li/TiS 2 couple. Their model includes the diffusion of lithium ions in different shaped particles of TiS 2 , which they called a solid solution.…”
mentioning
confidence: 99%