Parameter estimation of lithium-ion batteries and noise reduction using an H∞ filter

Lithium-ion batteries are widely used in conventional hybrid vehicles and in some electrical devices. A lumped parameter model of lithium-ion battery is constructed and system parameters are identified by using the autoregressive moving average (ARMA) and a genetic algorithm (GA). The precise information of state-of-charge (SOC) and terminal voltage are required to prolong the battery life and to increase the battery performance, reliability, and economics. By assuming a priori knowledge of the process and measurement noise covariance values, Kalman filter or extended Kalman filter has been used to estimate the SOC and terminal voltage. However, the main drawbacks of the Kalman filter is to use correct a priori covariance values, otherwise, the estimation errors can be lager or even divergent. These estimation errors can be relaxed by using the H∞ filter, which does not make any assumptions about the noise, and it minimizes the worst case estimation error. In this paper, H∞ filter is used to estimate the SOC and terminal voltage. The H∞ filter can reduce SOC estimation error, making it more reliable than using a priori process and measurement noise covariance values.

[1]  Luigi Glielmo,et al.  State of charge Kalman filter estimator for automotive batteries , 2004 .

[2]  Ximing Cai,et al.  Robust data assimilation in hydrological modeling – A comparison of Kalman and H-infinity filters , 2008 .

[3]  Magdi S. Mahmoud,et al.  State and Parameter Estimation , 1984 .

[4]  Moon-Ghu Park,et al.  Experimental demonstration of H∞ filter performance for dynamic compensation of rhodium neutron detectors , 2008 .

[5]  Xuemin Shen,et al.  Game theory approach to discrete H∞ filter design , 1997, IEEE Trans. Signal Process..

[6]  Myoungho Sunwoo,et al.  State-of-charge estimation of lead-acid batteries using an adaptive extended Kalman filter , 2009 .

[7]  Masayuki Fujita,et al.  Robust control of electrodynamic shaker with 2dof control using H∞ filter , 2009 .

[8]  David B. Fogel What is evolutionary computation , 1995 .

[9]  R. Tenno,et al.  Charge–discharge behaviour of VRLA batteries: model calibration and application for state estimation and failure detection , 2001 .

[10]  D. Simon,et al.  H∞ Filtering with Inequality Constraints for Aircraft Turbofan Engine Health Estimation , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[11]  P. Baudry,et al.  Electro-thermal modelling of polymer lithium batteries for starting period and pulse power , 1995 .

[12]  Andreas Jossen,et al.  Methods for state-of-charge determination and their applications , 2001 .

[13]  Donald L. Simon,et al.  Aircraft Turbofan Engine Health Estimation Using Constrained Kalman Filtering , 2005 .

[14]  Uzay Kaymak,et al.  Modeling and Identification , 2002 .

[15]  Stanislaw H. Zak,et al.  Designing a genetic neural fuzzy antilock-brake-system controller , 2002, IEEE Trans. Evol. Comput..

[16]  Rik W. De Doncker,et al.  Impedance-based simulation models of supercapacitors and Li-ion batteries for power electronic applications , 2003, 38th IAS Annual Meeting on Conference Record of the Industry Applications Conference, 2003..

[17]  Chaoyang Wang,et al.  Power and thermal characterization of a lithium-ion battery pack for hybrid-electric vehicles , 2006 .

[18]  Gregory L. Plett,et al.  Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 2. Modeling and identification , 2004 .

[19]  M. Tahk,et al.  Generalized input-estimation technique for tracking maneuvering targets , 1999 .

[20]  Andrew Cruden,et al.  Dynamic model of a lead acid battery for use in a domestic fuel cell system , 2006 .

[21]  Tamer Basar,et al.  Parameter identification for uncertain plants using H∞ methods , 1995, Autom..

[22]  Amir Vasebi,et al.  A novel combined battery model for state-of-charge estimation in lead-acid batteries based on extended Kalman filter for hybrid electric vehicle applications , 2007 .

[23]  Gregory L. Plett,et al.  Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 3. State and parameter estimation , 2004 .

[24]  Suleiman Abu-Sharkh,et al.  Rapid test and non-linear model characterisation of solid-state lithium-ion batteries , 2004 .

[25]  David A. Stone,et al.  Nonlinear observers for predicting state-of-charge and state-of-health of lead-acid batteries for hybrid-electric vehicles , 2005, IEEE Transactions on Vehicular Technology.

[26]  Pablo O. Arambel,et al.  Estimation under unknown correlation: covariance intersection revisited , 2002, IEEE Trans. Autom. Control..

[27]  T. Kailath,et al.  Linear estimation in Krein spaces. II. Applications , 1996, IEEE Trans. Autom. Control..

[28]  Gregory L. Plett,et al.  Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs Part 1. Background , 2004 .

[29]  Gregory L. Plett,et al.  Sigma-point Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 1: Introduction and state estimation , 2006 .