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A Fractional-Order Kinetic Battery Model of Lithium-Ion Batteries Considering a Nonlinear Capacity

1
School of Control Science and Engineering, Shandong University, Jinan 250061, China
2
State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130025, China
*
Authors to whom correspondence should be addressed.
Electronics 2019, 8(4), 394; https://doi.org/10.3390/electronics8040394
Received: 9 March 2019 / Revised: 27 March 2019 / Accepted: 28 March 2019 / Published: 2 April 2019
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Abstract

Accurate battery models are integral to the battery management system and safe operation of electric vehicles. Few investigations have been conducted on the influence of current rate (C-rate) on the available capacity of the battery, for example, the kinetic battery model (KiBaM). However, the nonlinear characteristics of lithium-ion batteries (LIBs) are closer to a fractional-order dynamic system because of their electrochemical materials and properties. The application of fractional-order models to represent physical systems is timely and interesting. In this paper, a novel fractional-order KiBaM (FO-KiBaM) is proposed. The available capacity of a ternary LIB module is tested at different C-rates, and its parameter identifications are achieved by the experimental data. The results showed that the estimated errors of available capacity in the proposed FO-KiBaM were low over a wide applied current range, specifically, the mean absolute error was only 1.91%. View Full-Text
Keywords: kinetic battery model; lithium-ion batteries; nonlinear capacity; fractional calculus kinetic battery model; lithium-ion batteries; nonlinear capacity; fractional calculus
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Zhang, Q.; Li, Y.; Shang, Y.; Duan, B.; Cui, N.; Zhang, C. A Fractional-Order Kinetic Battery Model of Lithium-Ion Batteries Considering a Nonlinear Capacity. Electronics 2019, 8, 394.

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