A Novel Fractional Order Model for State of Charge Estimation in Lithium Ion Batteries
Top Cited Papers
- 7 November 2018
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Vehicular Technology
- Vol. 68 (5), 4130-4139
- https://doi.org/10.1109/tvt.2018.2880085
Abstract
Battery models are the cornerstone to battery state of charge (SOC) estimation and battery management systems in electric vehicles. This paper proposes a novel fractional order model for a battery which considers both Butler-Volmer equation and fractional calculus of constant phase element. The structure characteristics of the proposed model are then analyzed, and a novel identification method which combines least squares and nonlinear optimization algorithm is proposed. The method is proven to be efficient and accurate. Based on the proposed model, a fractional order unscented Kalman filter is developed to estimate SOC while singular value decomposition is applied to tackle the nonlinearity of Butler-Volmer equation and fractional calculus of constant phase element. The systematic comparison between the proposed model and traditional fractional order model is carried out on two NMC lithium ion batteries at different temperatures, ageing levels and electric vehicle current profiles. The comparison results show that the proposed model has higher estimation accuracy in battery terminal voltage and SOC than the other two models over wide range of temperature and ageing level under electric vehicle operation conditions. Furthermore, the hardware-in-the-loop test validates that the proposed SOC estimation method is suitable for SOC estimation in electric vehicles.Keywords
Funding Information
- National Natural Science Foundation of China (51877009)
- Graduate Technological Innovation Project of Beijing Institute of Technology (2018CX10003)
This publication has 46 references indexed in Scilit:
- On-line estimation of lithium-ion battery impedance parameters using a novel varied-parameters approachJournal of Power Sources, 2013
- Parameter and differentiation order estimation in fractional modelsAutomatica, 2013
- Experimental investigation of the lithium-ion battery impedance characteristic at various conditions and aging states and its influence on the applicationApplied Energy, 2013
- A new method to estimate the state of charge of lithium-ion batteries based on the battery impedance modelJournal of Power Sources, 2013
- Model-based dynamic multi-parameter method for peak power estimation of lithium–ion batteriesApplied Energy, 2012
- A comparative study of equivalent circuit models for Li-ion batteriesJournal of Power Sources, 2012
- Characterization of high-power lithium-ion batteries by electrochemical impedance spectroscopy. I. Experimental investigationJournal of Power Sources, 2011
- Characterization of high-power lithium-ion batteries by electrochemical impedance spectroscopy. II: ModellingJournal of Power Sources, 2011
- Controllability and Observability of Linear Discrete-Time Fractional-Order SystemsInternational Journal of Applied Mathematics and Computer Science, 2008
- Characterizing aging effects of lithium ion batteries by impedance spectroscopyElectrochimica Acta, 2006