Skip to main content

A Lithium-Ion Battery Fractional Order State Space Model and its Time Domain System Identification

  • Conference paper
  • First Online:
Proceedings of the FISITA 2012 World Automotive Congress

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 192))

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Dees DW et al (2002) “Electrochemical modeling of lithium polymer batteries,” pp 310–320

    Google Scholar 

  2. Song L, Evans JW (2000) Electrochemical-thermal model of lithium polymer batteries. J Electrochem Soc 147:2086–2095

    Article  Google Scholar 

  3. Hellwig C et al (2011) “A multi-scale electrochemical and thermal model of a LiFePO battery”

    Google Scholar 

  4. 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

    Article  Google Scholar 

  5. 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

    Article  Google Scholar 

  6. 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

    Article  Google Scholar 

  7. 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

    Article  Google Scholar 

  8. 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

    Article  Google Scholar 

  9. “Equivalent circuit models”(2006) Motion Syst Des 48:42

    Google Scholar 

  10. 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

    Article  Google Scholar 

  11. 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

    Article  Google Scholar 

  12. Hu X et al (2011) “A comparative study of equivalent circuit models for Li-ion batteries.” J Power Sources 198(2012):359–367

    Google Scholar 

  13. Norian KH (2011) Equivalent circuit components of nickel-cadmium battery at different states of charge. J Power Sources 196:5205–5208

    Article  Google Scholar 

  14. 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

    Google Scholar 

  15. Podlubny I (1999) Fractional differential equations. Academic Press, New York

    Google Scholar 

  16. Sabatier J et al (2006) Fractional system identification for lead acid battery state of charge estimation. Signal Proc 86:2645–2657

    Article  MATH  Google Scholar 

  17. Sabatier J et al (2010) A fractional order model for lead-acid battery crankability estimation. Commun Nonlinear Sci Numer Simul 15:1308–1317

    Article  MathSciNet  Google Scholar 

Download references

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hongjie Wu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-33741-3_8

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33740-6

  • Online ISBN: 978-3-642-33741-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics