Abstract
This paper deals with a fractional order state space model for the lithium-ion battery and its time domain system identification method. Currently the equivalent circuit models are the most popular model which was frequently used to simulate the performance of the battery. But as we know, the equivalent circuit model is based on the integer differential equations, and the accuracy is limited. And the real processes are usually of fractional order as opposed to the ideal integral order models. So here we propose a lithium-ion battery fractional order state space model, and compare it with the equivalent circuit models, to see which model fit with the experiment results best. Then the hybrid pulse power characterization (HPPC) test has been implemented in the lithium-ion battery during varied state-of-charge (SOC). Based on the Levenberg–Marquardt algorithm, the parameters for each model have been obtained using the time-domain test data. Experimental results show that the proposed lithium-ion fractional order state space model has a better fitness than the classical equivalent circuit models. Meanwhile, five other cycles are adopt here to validate the prediction error of the two models, and final results indicate that the fractional model has better generalization ability.
F2012-B04-023
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References
Dees DW et al (2002) “Electrochemical modeling of lithium polymer batteries,” pp 310–320
Song L, Evans JW (2000) Electrochemical-thermal model of lithium polymer batteries. J Electrochem Soc 147:2086–2095
Hellwig C et al (2011) “A multi-scale electrochemical and thermal model of a LiFePO battery”
Fang K et al (2012) A prediction model based on artificial neural network for surface temperature simulation of nickel-metal hydride battery during charging. J Power Sources 208:378–382
Chan CC et al (2000) Available capacity computation model based on artificial neural network for lead-acid batteries in electric vehicles. J Power Sources 87:201–204
Erdinc O et al (2009) A wavelet-fuzzy logic based energy management strategy for a fuel cell/battery/ultra-capacitor hybrid vehicular power system. J Power Sources 194:369–380
Salkind AJ et al (1999) Determination of state-of-charge and state-of-health of batteries by fuzzy logic methodology. J Power Sources 80:293–300
Singh P et al (2006) Design and implementation of a fuzzy logic-based state-of-charge meter for Li-ion batteries used in portable defibrillators. J Power Sources 162:829–836
“Equivalent circuit models”(2006) Motion Syst Des 48:42
Gomez J et al (2011) Equivalent circuit model parameters of a high-power Li-ion battery: thermal and state of charge effects. J Power Sources 196:4826–4831
He H et al (2011) Evaluation of lithium-ion battery equivalent circuit models for state of charge estimation by an experimental approach. Energies 4:582–598
Hu X et al (2011) “A comparative study of equivalent circuit models for Li-ion batteries.” J Power Sources 198(2012):359–367
Norian KH (2011) Equivalent circuit components of nickel-cadmium battery at different states of charge. J Power Sources 196:5205–5208
Cugnet M et al (2009) “Fractional order model validation for the lead-acid battery resistance estimation: application to cranking capability.” In 7th IFAC international symposium on fault detection, supervision and safety of technical systems, SAFEPROCESS’09, 30 June 2009, 3 July 2009, Barcelona, Spain, pp 558–563
Podlubny I (1999) Fractional differential equations. Academic Press, New York
Sabatier J et al (2006) Fractional system identification for lead acid battery state of charge estimation. Signal Proc 86:2645–2657
Sabatier J et al (2010) A fractional order model for lead-acid battery crankability estimation. Commun Nonlinear Sci Numer Simul 15:1308–1317
Acknowledgments
This research work is supproted by CERC-CVC: U.S. - China Clean Energy Research Center Clean Vehicles Consortium (2010DFA72760-305). The Sinopoly Battery Ltd, a sponser of the battery cells for experimental test, is also gratefully acknowledged. And many thanks are also given to the authors whose papers were refered here.
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Wu, H., Yuan, S., Yin, C. (2013). A Lithium-Ion Battery Fractional Order State Space Model and its Time Domain System Identification. In: Proceedings of the FISITA 2012 World Automotive Congress. Lecture Notes in Electrical Engineering, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33741-3_8
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DOI: https://doi.org/10.1007/978-3-642-33741-3_8
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