Identifying the Unknown Parameters of Equivalent Circuit Model for Li-Ion Battery Using Rao-1 Algorithm †
Abstract
:1. Introduction
2. Materials and Methods
2.1. Equivalent Circuit Model (ECM) for Li-Ion Battery
2.2. Rao-1 Algorithm
2.3. Objective Function
3. Results
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
- Tian, H.; Qin, P.; Li, K.; Zhao, Z. A Review of the State of Health for Lithium-Ion Batteries: Research Status and Suggestions. J. Clean. Prod. 2020, 261, 120813. [Google Scholar] [CrossRef]
- Merrouche, W.; Trari, M.; Djellal, L.; Mammeri, M.; Tebibel, H.; Blaifi, S.; Chong, L.W.; Ould-amrouche, S.; Boussaha, B. Improved Model and Simulation Tool for Dynamic SOH Estimation and Life Prediction of Batteries Used in PV Systems. Simul. Model. Pract. Theory 2022, 119, 102590. [Google Scholar] [CrossRef]
- Sepasi, S.; Ghorbani, R.; Liaw, B.Y. Improved Extended Kalman Filter for State of Charge Estimation of Battery Pack. J. Power Sources 2014, 255, 368–376. [Google Scholar] [CrossRef]
- Sepasi, S.; Ghorbani, R.; Liaw, B.Y. A Novel On-Board State-of-Charge Estimation Method for Aged Li-Ion Batteries Based on Model Adaptive Extended Kalman Filter. J. Power Sources 2014, 245, 337–344. [Google Scholar] [CrossRef]
- Solomon, O.O.; Zheng, W.; Chen, J.; Qiao, Z. State of Charge Estimation of Lithium-Ion Battery Using an Improved Fractional-Order Extended Kalman Filter. J. Energy Storage 2022, 49, 104007. [Google Scholar] [CrossRef]
- Liu, Y.; Li, R.; Xiong, B.; Zhang, S.; Zhang, X.; Iu, H.; Fernando, T. A Novel Vanadium Redox Flow Battery Modelling Method Using Honey Badger Optimization Assisted CNN-BiLSTM. J. Power Sources 2023, 558, 232610. [Google Scholar] [CrossRef]
- Ferahtia, S.; Djeroui, A.; Rezk, H.; Chouder, A.; Houari, A.; Machmoum, M. Optimal Parameter Identification Strategy Applied to Lithium-ion Battery Model. Int. J. Energy Res. 2021, 45, 16741–16753. [Google Scholar] [CrossRef]
- Duru, K.K.; Venkatachalam, P.; Karra, C.; Madhavan, A.A.; Sambasivam, S.; Kalluri, S. Equivalent Circuit Model Parameters Estimation of Lithium-Ion Batteries Using Cuckoo Search Algorithm. J. Electrochem. Soc. 2022, 169, 120503. [Google Scholar] [CrossRef]
- Hamida, M.A.; El-Sehiemy, R.A.; Ginidi, A.R.; Elattar, E.; Shaheen, A.M. Parameter Identification and State of Charge Estimation of Li-Ion Batteries Used in Electric Vehicles Using Artificial Hummingbird Optimizer. J. Energy Storage 2022, 51, 104535. [Google Scholar] [CrossRef]
- Ferahtia, S.; Rezk, H.; Djerioui, A.; Houari, A.; Motahhir, S.; Zeghlache, S. Modified Bald Eagle Search Algorithm for Lithium-Ion Battery Model Parameters Extraction. ISA Trans. 2023, 134, 357–379. [Google Scholar] [CrossRef] [PubMed]
- Houssein, E.H.; Hashim, F.A.; Ferahtia, S.; Rezk, H. Battery Parameter Identification Strategy Based on Modified Coot Optimization Algorithm. J. Energy Storage 2022, 46, 103848. [Google Scholar] [CrossRef]
- Shoukat, A.; Mughal, M.A.; Ahmad, S.; Gondal, S.Y.; Khan, S.S. Parameter Estimation of Short Transmission Line Using Rao-I Algorithm. In Proceedings of the IMTIC 2021—6th International Multi-Topic ICT Conference: AI Meets IoT: Towards Next Generation Digital Transformation, Jamshoro & Karachi, Pakistan, 10–12 November 2021. [Google Scholar]
- Benghanem, M.; Lekouaghet, B.; Haddad, S.; Soukkou, A. Optimization of Pv Cells/Modules Parameters Using a Modified Quasi-Oppositional Logistic Chaotic Rao-1 (QOLCR) Algorithm. Environ. Sci. Pollut. Res. 2023, 30, 44536–44552. [Google Scholar] [CrossRef] [PubMed]
- Li, W.; Rentemeister, M.; Badeda, J.; Jöst, D.; Schulte, D.; Sauer, D.U. Digital Twin for Battery Systems: Cloud Battery Management System with Online State-of-Charge and State-of-Health Estimation. J. Energy Storage 2020, 30, 101557. [Google Scholar] [CrossRef]
- Abualigah, L.; Diabat, A.; Mirjalili, S.; Abd Elaziz, M.; Gandomi, A.H. The Arithmetic Optimization Algorithm. Comput. Methods Appl. Mech. Eng. 2021, 376, 113609. [Google Scholar] [CrossRef]
- Heidari, A.A.; Mirjalili, S.; Faris, H.; Aljarah, I.; Mafarja, M.; Chen, H. Harris Hawks Optimization: Algorithm and Applications. Future Gener. Comput. Syst. 2019, 97, 849–872. [Google Scholar] [CrossRef]
- Naik, M.K.; Panda, R.; Wunnava, A.; Jena, B.; Abraham, A. A Leader Harris Hawks Optimization for 2-D Masi Entropy-Based Multilevel Image Thresholding. Multimed. Tools Appl. 2021, 80, 35543–35583. [Google Scholar] [CrossRef]
- Shehadeh, H.A. Chernobyl Disaster Optimizer (CDO): A Novel Meta-Heuristic Method for Global Optimization. Neural Comput. Appl. 2023, 35, 10733–10749. [Google Scholar] [CrossRef]
- Plett, G.L. Battery Management Systems Volume II: Equivalent-Circuit Methods; Artech House: New York, NY, USA, 2016; ISBN 9781630810276. [Google Scholar]
- Plett, G.L. Battery Management Systems, Volume I: Battery Modeling; Artech House: New York, NY, USA, 2015; Volume 1, ISBN 9781630810245. [Google Scholar]
- Hu, X.; Li, S.; Peng, H.; Sun, F. Robustness Analysis of State-of-Charge Estimation Methods for Two Types of Li-Ion Batteries. J. Power Sources 2012, 217, 209–219. [Google Scholar] [CrossRef]
Items | Rao-1 | AOA | HHO | LHHO | CDO |
---|---|---|---|---|---|
2.5911 × 10−2 | 2.7995 × 10−2 | 3.2126 × 10−2 | 2.5178 × 10−2 | 2.7906 × 10−2 | |
3.5487 × 10−2 | 2.8551 × 10−2 | 3.1999 × 10−2 | 3.9332 × 10−2 | 2.4125 × 10−2 | |
7.0652 × 10−3 | 1.0000 × 10−4 | 1.0076 × 10−4 | 1.1627 × 10−2 | 8.6901 × 10−3 | |
1.0000 × 10−1 | 6.4655 × 10−2 | 2.9843 × 10−2 | 5.1134 × 10−2 | 8.3717 × 10−2 | |
6.2604 × 102 | 8.8250 × 102 | 5.7939 | 7.0488 × 102 | 9.0000 × 102 | |
3.6262 × 102 | 9.0000 × 102 | 3.6243 × 102 | 8.8082 × 102 | 2.9654 × 102 | |
4.9927 × 10−2 | 3.2199 × 10−2 | 6.5794 × 10−2 | 1.8990 × 10−2 | 5.4462 × 10−2 | |
3.6745 × 10−2 | 3.2037 × 10−2 | 2.0816 × 10−2 | 7.9016 × 10−2 | 5.4139 × 10−2 | |
6.4907 × 103 | 9.0000 × 103 | 2.7513 × 103 | 8.8490 × 103 | 9.0000 × 103 | |
5.9332 × 103 | 9.0000 × 103 | 4.6047 × 103 | 8.8377 × 103 | 5.2192 × 103 | |
3.2173 | 4.0000 | 3.6869 | 3.3351 | 3.2068 | |
1.0000 | 1.9418 × 10−2 | 4.2354 × 10−1 | 8.5170 × 10−1 | 1.0000 | |
−1.0000 × 10−2 | 0.0000 | −3.8256 × 10−3 | −9.9321 × 10−3 | 0.0000 | |
6.6396 × 10−4 | 5.5631 × 10−11 | 7.7382 × 10−4 | 7.9015 × 10−4 | 7.7291 × 10−4 | |
−1.0000 × 10−4 | 0.0000 | −7.9211 × 10−5 | −3.0875 × 10−5 | 0.0000 | |
1.0000 × 10−5 | 4.6992× 10−19 | 2.1822 × 10−6 | 3.3216 × 10−6 | 8.6717 × 10−6 | |
−2.0351 × 10−8 | 0.0000 | −4.3267 × 10−8 | −6.8963 × 10−8 | −8.3801 × 10−11 | |
Min RMSE | 4.3428 × 10−3 | 1.3183 × 10−2 | 1.1558 × 10−2 | 6.1840 × 10−3 | 5.9515 × 10−3 |
Std | 2.1852 × 10−3 | 8.3725 × 10−4 | 6.7700 × 10−3 | 4.5411 × 10−3 | 5.6756 × 10−3 |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Share and Cite
Lekouaghet, B.; Merrouche, W.; Bouguenna, E.; Himeur, Y. Identifying the Unknown Parameters of Equivalent Circuit Model for Li-Ion Battery Using Rao-1 Algorithm. Eng. Proc. 2023, 56, 228. https://doi.org/10.3390/ASEC2023-15343
Lekouaghet B, Merrouche W, Bouguenna E, Himeur Y. Identifying the Unknown Parameters of Equivalent Circuit Model for Li-Ion Battery Using Rao-1 Algorithm. Engineering Proceedings. 2023; 56(1):228. https://doi.org/10.3390/ASEC2023-15343
Chicago/Turabian StyleLekouaghet, Badis, Walid Merrouche, Elouahab Bouguenna, and Yassine Himeur. 2023. "Identifying the Unknown Parameters of Equivalent Circuit Model for Li-Ion Battery Using Rao-1 Algorithm" Engineering Proceedings 56, no. 1: 228. https://doi.org/10.3390/ASEC2023-15343