New State-of-Charge Polynomial using Hermite Interpolation

헤르미트 보간법을 이용한 새로운 SOC 다항식

  • Jung, Ji-Heung (Department of Information and Communication Engineering, Dongguk University) ;
  • Jeon, Joon-Hyeon (Department of Information and Communication Engineering, Dongguk University)
  • 정지흥 (동국대학교 서울캠퍼스 공과대학 정보통신공학) ;
  • 전준현 (동국대학교 서울캠퍼스 공과대학 정보통신공학)
  • Received : 2010.07.28
  • Accepted : 2010.12.16
  • Published : 2011.01.25

Abstract

This paper provides, through the use of Hermite Interpolation, a new polynomial for Storage of Charge(SOC) solution of the low-power-battery. It also gives a general formula which permits direct and simple computation of coefficients of the proposed polynomial. From the simulation results based on real SOC, it is shown that this new approach is more accurate and computationally efficient than previous Boltzmann's SOC. This solution provides a new insight into the development of SOC algorithm.

References

  1. 송석호, 최한표, 최태섭, 안인수, 임승하외 "리튬-이온 2차 전지의 충전 알고리즘 개선에 관한 연구" 전자공학회논문지 TE편 제38권 제4호, 482-491쪽, 2001년 12월.
  2. Stephan Buller, Marc Thele, Eckhard Karden, Rik W.De Doncker, "Impedance-based non-linear dynamic battery modeling for automotive applications", Journal Of Power Sourecs, Vol. 113, No. 2, pp. 422-430, January 2003. https://doi.org/10.1016/S0378-7753(02)00558-X
  3. 이종학, 김상현, 김욱, 최우진, "AC 임피던스를 이용한 리튬 전지의 충전상태 추정에 관한 연구", 전력전자학회논문지, 제14권, 제6호, 457-465쪽, 2009 년 12월.
  4. F. Huet, "A review of impedance measurements for determination of the state-of-charge or state-of-health of secondary batteries", Journal of Power Sources, Vol. 70, No. 1, pp. 59-69, January 1998. https://doi.org/10.1016/S0378-7753(97)02665-7
  5. Jiirgen Garche, Andreas Jossen, "Battery Management Systems (BMS) for Increasing Battery Life Time", Telecommunications Energy Special Conference, 2000, pp. 81-88, Dresden, Germany, May 2000.
  6. Gregory L.Plett, "Extended kalman filtering for battery management systems of LiPB-Based HEV battery packs Part 1. Background", Journal Of Power Sources, Vol. 134, No. 2, pp. 252-261, August 2004. https://doi.org/10.1016/j.jpowsour.2004.02.031
  7. P.Bentley, D.A. Stone, and C.M.Binghanm, "Nonlinear Observers for Predicting State-of- Charge and State-of-Health of Lead-Acid Batteries for Hybrid-Electric Vehicles", IEEE Transactions on vehicular technology, Vol. 54, No. 3, pp. 783-794, May 2005. https://doi.org/10.1109/TVT.2004.842461
  8. 전창완, 이유미, "자율이동체를 위한 배터리의 확장칼만필터에 기초한 SOC 추정 기법," 제어․로봇․시스템학회, 제14권, 제9호, 904-908쪽, 2008년 9월.
  9. V. Pop, H.J. Bergveld, P.H.L. Notten, P.P.L. Regtien, "Smart and Accurate State-of-Charge Indication In Portable Applications", International Conference on Power Electronics and Drive Systems, PEDS, pp. 262-267, Kuala Lumpur, Malaysia, January 2001.
  10. 최경덕, 유상길, 강희선, 박상민, "디젤하이브리드 배터리 관리 시스템 개발," 한국자동차공학회 2007 년도 춘계학술대회논문집, 제4권, pp. 2435-2439, 2007년 6월.
  11. Kong Soon Ng, Chin-Sien Moo, Yi-Ping Chen, Yao-Ching Hsieh, "Enhanced coulomb counting method for estimating state-of-charge and state-of-health of lithium-ion batteries," Applied Energy, Vol. 86, No. 9, pp. 1506-1511, September 2009. https://doi.org/10.1016/j.apenergy.2008.11.021
  12. V.Pop, H.H.Bergveld, P.H.L. Notten, P.P.L. Regtien, "State-of-Charge Indication in Portable Applications", IEEE International Symposium on Industrial Electronics, ISIE, pp.1007-1012, Dubrovinik, Croatia, June 2005.
  13. V.Pop, H.H.Bergveld, P.H.L. Notten, J.H.G. Op het Veld, P.P.L. Regtien, "Accuracy analysis of the State-of-Charge and remaining run-time determination for lithium-ion batteries", Measurement, Vol. 42, No. 8, pp. 1131-1138, October 2009. https://doi.org/10.1016/j.measurement.2008.03.009
  14. Sabine Piller, Marion Perrin, Andreas Jossen, "Methods for state-of-charge determination and their applications", Journal Of Power Sources, Vol. 96, No. 1, pp. 113-120, June 2001. https://doi.org/10.1016/S0378-7753(01)00560-2
  15. 송현식, 정진범, 이백행, 신동현, 김병훈, 허훈, "Ultra-Capacitor 모듈이 사용된 하이브리드 에너지저장장치의 동적 SOC 보정에 관한 연구", 대한 전기학회 학술대회 논문집, pp. 942-944, 2009년 7월.
  16. Novie Ayub Windarko, Jaeho Choi, Deoksu Hyun, "OCV modeling for SOC Estimation of NiMH Battery", 전력전자학회 2009년도 하계학술 대회 논문집, pp.643-645, 2009년 7월.
  17. Novie Ayub Windarko, Jaeho Choi, "SOC Estimation Based on OCV for NiMH Batteries Using an Improved Takacs Model", 전력전자학회, Vol. 10, No. 2, pp. 181-186, February 2010.
  18. 남종하, 최진홍, 김승종, 황호석, 김재웅, "하이브리드 전기자동차용 배터리 ECU 설계 및 잔존용량알고리즘에 관한 연구," 전력전자학회, 제9권, 제4호, 319-325쪽, 2004년 8월.
  19. 이재문, 최욱돈, 이종필, 이종찬, "전기자동차용 전지관리장치의 전지잔존량 연산알고리즘에 관한 연구," 전력전자학술대회논문집, pp. 114-117, 2001년 7월.
  20. 문종현, 서철식, 박재욱, 김금수, 김동희. "UPS용 배터리 최적화를 위한 배터리관리시스템에 관한 연구," 한국조명․전기설비학회 2008 춘계학술대회 논문집, pp.321-324, 2008년 5월.
  21. 남종하, "이차전지용 배터리 관리시스템," 전력전자학회 2008년도 추계학술대회논문집, pp. 94-96, 2008년 10월.
  22. V. Pop, H.J. Bergveld, P.P.L Regtien, J.H.G. Op het Veld, D. Danilov, and P.H.L. Notten, "Battery Aging and Its Influence on the Electromotive Force", Journal of The Electrochemical Society, Vol. 154, No. 8, pp. A744-A750, May 2007. https://doi.org/10.1149/1.2742296
  23. O.Herrmann, "On the approximation problem in nonrecursive digital filter design," IEEE Trans. Circuit Theory, vol. CT-18, pp. 411-413, May 1971.
  24. O.Herrmann, "Design of nonrecursive digital filters with linear phase," Electron.Lett., vol. 6, No. 11, pp.328-329 May, 1970. https://doi.org/10.1049/el:19700231
  25. P.J.Davis, Interpolation and Approximation. New York: Blaisdell, ch.3, sec.3.5., 1965.