#
Online Multi Chemistry SoC Estimation Technique Using Data Driven Battery Model Parameter Estimation^{ †}

^{*}

^{†}

## Abstract

**:**

## 1. Introduction

## 2. Data Driven Battery Models

#### 2.1. Battery Models

#### 2.2. Parameter Identification Method

_{k}is the simulated terminal voltage at timestep k:

## 3. Methods

#### 3.1. Cell Specifications and Testing

#### 3.2. Validation Process

## 4. Results and Discussion

#### 4.1. Comparison of the Battery Model Electrical Performance

#### 4.2. State of Charge Estimation

## 5. Conclusions

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

## Appendix A

## References

- Nava, M. The Road Ahead for Electric Vehicles. BBVA Research. pp. 1–8. Available online: https://www.bbvaresearch.com/en/publicaciones/u-s-the-road-ahead-for-electric-vehicles/ (accessed on 21 June 2018).
- Berckmans, G.; Messagie, M.; Smekens, J.; Omar, N.; Vanhaverbeke, L.; van Mierlo, J. Cost Projection of State of the Art Lithium-Ion Batteries for Electric Vehicles Up to 2030. Energies
**2017**, 10, 1314. [Google Scholar] [CrossRef] - Grunditz, E.A. Performance Analysis of Current BEVs—Based on a Comprehensive Review of Specifications. IEEE Trans. Transp. Electr.
**2016**, 7782, 1–20. [Google Scholar] [CrossRef] - Hannan, M.A.; Lipu, M.S.H.; Hussain, A.; Mohamed, A. A review of lithium-ion battery state of charge estimation and management system in electric vehicle applications: Challenges and recommendations. Renew. Sustain. Energy Rev.
**2017**, 78, 834–854. [Google Scholar] [CrossRef] - Lu, L.; Han, X.; Li, J.; Hua, J.; Ouyang, M. A review on the key issues for lithium-ion battery management in electric vehicles. J. Power Sources.
**2013**, 226, 272–288. [Google Scholar] [CrossRef] - Cuma, M.U.; Koroglu, T. A comprehensive review on estimation strategies used in hybrid and battery electric vehicles. Renew. Sustain. Energy Rev.
**2015**, 42, 517–531. [Google Scholar] [CrossRef] - Meng, J.; Ricco, M.; Luo, G.; Swierczynski, M.; Stroe, D.; Stroe, A.; Teodorescu, R. An Overview and Comparison of Online Implementable SOC Estimation Methods for Lithium-Ion Battery. IEEE Trans. Ind. Appl.
**2018**, 54, 1583–1591. [Google Scholar] [CrossRef] - Xing, Y.; Ma, E.W.M.; Tsui, K.L.; Pecht, M. Battery Management Systems in Electric and Hybrid Vehicles. Energies
**2011**, 4, 1840–1857. [Google Scholar] [CrossRef] [Green Version] - Hu, X.; Li, S.E.; Yang, Y. Advanced Machine Learning Approach for Lithium-Ion Battery State Estimation in Electric Vehicles. IEEE Trans. Transp. Electr.
**2016**, 2, 140–149. [Google Scholar] [CrossRef] - Chang, W.-Y. The State of Charge Estimating Methods for Battery: A Review. ISRN Appl. Math.
**2013**, 2013, 953792. [Google Scholar] [CrossRef] - Cheng, Z.; Lv, J.; Liu, Y.; Yan, Z. Estimation of State of Charge for Lithium-Ion Battery Based on Finite Difference Extended Kalman Filter. J. Appl. Math.
**2014**, 2014, 348537. [Google Scholar] [CrossRef] - Xuan, Y.D.; Gao, Y.X. SOC estimation of Lithium-ion battery based on Kalman filter algorithm. Appl. Mech. Mater.
**2013**, 347–350, 1852–1855. [Google Scholar] - Huria, T.; Ceraolo, M.; Gazzarri, J.; Jackey, R. Simplified Extended Kalman Filter Observer for SOC Estimation of Commercial Power-Oriented LFP Lithium Battery Cells; SAE Technical Paper 2013-01-1544. In Proceedings of the SAE World Congress, Detroit, MI, USA, 16–18 April 2013. [Google Scholar]
- Xiong, R.; He, H.; Sun, F.; Liu, X.; Liu, Z. Model-based state of charge and peak power capability joint estimation of lithium-ion battery in plug-in hybrid electric vehicles. J. Power Sources
**2013**, 229, 159–169. [Google Scholar] [CrossRef] - Wang, Q.; Wang, J.; Zhao, P.; Kang, J.; Yan, F.; Du, C. Correlation between the model accuracy and model-based SOC estimation. Electrochim. Acta
**2017**, 228, 146–159. [Google Scholar] [CrossRef] - Nikolian, A.; Firouz, Y.; Gopalakrishnan, R.; Timmermans, J.-M.; Omar, N.; van den Bossche, P.; van Mierlo, J. Lithium Ion Batteries—Development of Advanced Electrical Equivalent Circuit Models for Nickel Manganese Cobalt Lithium-Ion. Energies
**2016**, 9, 360. [Google Scholar] [CrossRef] - Zhang, X.; Wang, Y.; Liu, C.; Chen, Z. A novel approach of remaining discharge energy prediction for large format lithium-ion battery pack. J. Power Sources
**2017**, 343, 216–225. [Google Scholar] [CrossRef] - Zhang, X.; Lu, J.; Yuan, S.; Zhou, X. A novel method for identification of lithium-ion battery equivalent circuit model parameters considering electrochemical properties. J. Power Sources
**2017**, 345, 21–29. [Google Scholar] [CrossRef] - Zhang, C.; Allafi, W.; Dinh, Q.; Ascencio, P.; Marco, J. Online estimation of battery equivalent circuit model parameters and state of charge using decoupled least squares technique. Appl. Energy
**2018**, 142, 678–688. [Google Scholar] [CrossRef] - Xiong, R.; He, H.; Sun, F.; Zhao, K. Online Estimation of Peak Power Capability of Li-Ion Batteries in Electric Vehicles by a Hardware-in-Loop Approach. Energies
**2012**, 5, 1455–1469. [Google Scholar] [CrossRef] [Green Version] - He, H.; Zhang, X.; Xiong, R.; Xu, Y.; Guo, H. Online model-based estimation of state-of-charge and open-circuit voltage of lithium-ion batteries in electric vehicles. Energy
**2012**, 39, 310–318. [Google Scholar] [CrossRef] - Duong, V.; Bastawrous, H.; Lim, K.; See, K.; Zhang, P.; Dou, S.X. Online state of charge and model parameters estimation of the LiFePO
_{4}battery in electric vehicles using multiple adaptive forgetting factors recursive least-squares. J. Power Sources**2015**, 296, 215–224. [Google Scholar] [CrossRef] - Vahidi, A.; Stefanopoulou, A.; Peng, H. Recursive least squares with forgetting for online estimation of vehicle mass and road grade: theory and experiments. Veh. Syst. Dyn.
**2005**, 43, 31–55. [Google Scholar] [CrossRef] - Plett, G.L. Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs Part 1. Background. J. Power Sources
**2004**, 134, 252–261. [Google Scholar] [CrossRef] - Plett, G.L. Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs Part 2. Modeling and identification. J. Power Sources
**2004**, 134, 262–276. [Google Scholar] [CrossRef] - Plett, G.L. Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs Part 3. State and parameter estimation. J. Power Sources
**2004**, 134, 277–292. [Google Scholar] [CrossRef] - He, H.; Xiong, R.; Fan, J. Evaluation of Lithium-Ion Battery Equivalent Circuit Models for State of Charge Estimation by an Experimental Approach. Energies
**2011**, 4, 582–598. [Google Scholar] [CrossRef] [Green Version]

**Figure 1.**Equivalent circuit diagram of (

**a**) first order battery model and (

**b**) second order battery model [16].

**Figure 3.**(

**a**) Mean Absolute Error (MAE) and (

**b**) Mean Relative Error (MRE) on voltage simulation for the first and second order battery model under Dynamic Discharge Pulse Test and Worldwide harmonized Light vehicles Test Procedure load profile.

NMC | LFP | LTO | |
---|---|---|---|

Cathode Material | Li(NiCoMn)O${}_{2}$ | LiFePO${}_{4}$ | NiCoMn |

Nominal Capacity | 20 Ah | 14 Ah | 5 Ah |

Nominal Voltage | 3.65 V | 3.2 V | 2.2 V |

Charging/Discharging cut-off voltage | 4.15 V/2.5 V | 3.65V/2.0V | 2.80 V/1.50 V |

Energy Density | 174 Wh/kg | 120 Wh/kg | 42 Wh/kg |

Power Density * | 2300 W/kg | 2500 W/kg | 2250 W/kg |

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**MDPI and ACS Style**

De Sutter, L.; Nikolian, A.; Timmermans, J.-M.; Omar, N.; Van Mierlo, J.
Online Multi Chemistry SoC Estimation Technique Using Data Driven Battery Model Parameter Estimation. *World Electr. Veh. J.* **2018**, *9*, 16.
https://doi.org/10.3390/wevj9020016

**AMA Style**

De Sutter L, Nikolian A, Timmermans J-M, Omar N, Van Mierlo J.
Online Multi Chemistry SoC Estimation Technique Using Data Driven Battery Model Parameter Estimation. *World Electric Vehicle Journal*. 2018; 9(2):16.
https://doi.org/10.3390/wevj9020016

**Chicago/Turabian Style**

De Sutter, Lysander, Alexandros Nikolian, Jean-Marc Timmermans, Noshin Omar, and Joeri Van Mierlo.
2018. "Online Multi Chemistry SoC Estimation Technique Using Data Driven Battery Model Parameter Estimation" *World Electric Vehicle Journal* 9, no. 2: 16.
https://doi.org/10.3390/wevj9020016