Abstract
In order to characterize the voltage behavior of a lithium-ion battery for on-board electric vehicle battery management and control applications, a battery model with a moderate complexity was established. The battery open circuit voltage (OCV) as a function of state of charge (SOC) was depicted by the Nernst equation. An equivalent circuit network was adopted to describe the polarization effect of the lithium-ion battery. A linear identifiable formulation of the battery model was derived by discretizing the frequent-domain description of the battery model. The recursive least square algorithm with forgetting was applied to implement the on-line parameter calibration. The validation results show that the on-line calibrated model can accurately predict the dynamic voltage behavior of the lithium-ion battery. The maximum and mean relative errors are 1.666% and 0.01%, respectively, in a hybrid pulse test, while 1.933% and 0.062%, respectively, in a transient power test. The on-line parameter calibration method thereby can ensure that the model possesses an acceptable robustness to varied battery loading profiles.
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References
JOHANSSON B, MÅRTENSSON A. Energy and environmental costs for electric vehicles using CO2-neutral electricity in Sweden [J]. Energy, 2000, 25(8): 777–792.
ÅHMAN M. Primary energy efficiency of alternative powertrains in vehicles [J]. Energy, 2001, 26(11): 973–989.
PLETT G L. Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 1. Background [J]. Journal of Power Sources, 2004, 134(2): 252–261.
PLETT G L. Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 2. Modeling and identification [J]. Journal of Power Sources, 2004, 134(2): 262–276.
PLETT G L. Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 3. State and parameter estimation [J]. Journal of Power Sources, 2004, 134(2): 277–292.
PLETT G L. Sigma-point Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 1. Introduction and state estimation [J]. Journal of Power Sources, 2006, 161(2): 1356–1368.
PLETT G L. Sigma-point Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 2. Simultaneous state and parameter estimation [J]. Journal of Power Sources, 2006, 161(2): 1369–1384.
HAN J Y, KIM D C, SUNWOO M. State-of-charge estimation of lead-acid batteries using an adaptive extended Kalman filter [J]. Journal of Power Sources, 2009, 188(2): 606–612.
WANG Jun-ping, GUO Jing-gang, DING Lei. An adaptive Kalman filtering based State of Charge combined estimator for electric vehicle battery pack [J]. Energy Conversion and Management, 2009, 50(12): 3182–3186.
KIM I S. The novel State of Charge estimation method for lithium battery using sliding mode observer [J]. Journal of Power Sources, 2006, 163(1): 584–590.
KIM I S. Nonlinear state of charge estimator for hybrid electric vehicle battery [J]. IEEE Transactions on Power Electronics, 2008, 23(4): 2027–2034.
LIN Cheng-tao, QIU Bin, CHEN Quan-shi. Comparison of current input equivalent circuit models of electric vehicle battery [J]. Chinese Journal of Mechanical Engineering, 2005, 41(12): 76–81. (in Chinese)
DAI Hai-feng, WEI Xue-zhe, SUN Ze-chang. Estimate State of Charge of power lithium-ion batteries used on fuel cell hybrid vehicle with method based on extended Kalman filtering [J]. Chinese Journal of Mechanical Engineering, 2007, 43(2): 92–95. (in Chinese)
LI Chao. Research on model identification and SOC estimation for EV NiMH battery [D]. Tianjin: Tianjin University, 2007. (in Chinese)
WANG Jun-ping, CAO Bing-gang, CHEN Quan-shi, WANG Feng. Combined state of charge estimator for electric vehicle battery pack [J]. Control Engineering Practice, 2007, 15(12): 1569–1576.
WANG Jun-ping, CAO Bing-gang, CHEN Quan-shi. Self-adaptive filtering based State of Charge estimation method for electric vehicle batteries [J]. Chinese Journal of Mechanical Engineering, 2008, 44(5): 76–79. (in Chinese)
OTA Y, SAKAMOTO M, KIRIAKE R, KOBE T, HASHIMOTO Y. Modeling of voltage hysteresis and relaxation of HEV NiMH battery [C]// Proceedings of the 17th IFAC World Congress. New York: IFAC, 2008: 4654–4658.
HAYKIN S. Adaptive Filter Theory [M]. 3rd edition. New Jersey: Prentice Hall, 1996: 562–587.
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Foundation item: Project(50905015) supported by the National Natural Science Foundation of China
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Hu, Xs., Sun, Fc. & Zou, Y. Online model identification of lithium-ion battery for electric vehicles. J. Cent. South Univ. Technol. 18, 1525–1531 (2011). https://doi.org/10.1007/s11771-011-0869-1
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DOI: https://doi.org/10.1007/s11771-011-0869-1