Extraction of thevenin-based equivalent circuit of multi-cell lead acid battery pack and SoC estimation
Year 2024,
Volume: 3 Issue: 1, 93 - 100, 30.06.2024
Hayri Arabacı
,
Kemal Erdoğan
Abstract
Lead acid batteries are widely used in UPS due to their cheapness. In case of mains power failure, the length of the operating period powered by the battery depends on the energy capacity of the battery. In this case, predicting the remaining time depending on usage is important for the healthy operation of the system. Determining the remaining time can be done by monitoring the SoC of the batteries. SoC monitoring can be done using equivalent circuit models of the battery. In systems where a single battery cell is used, the equivalent circuit is generally taken into account for a single cell. Nowadays many serially connected batteries are used in UPS. In this case, it becomes difficult to make calculations in the equivalent circuit created by connecting the single cell equivalent circuit in series. In this study, the approach of using a single equivalent circuit model to be created for the entire system is proposed. In the study, the Thevenin equivalent circuit model of an uninterruptible power supply battery group, in which 8 batteries (12V) are connected in series, was created with only three parameters. The accuracy of the created equivalent circuit was ensured by comparing it with the values calculated using the current counting method. First, the discharge curve of the battery was obtained. SoC-Open Circuit Voltage graph was created from these curves. Equivalent circuit parameters were calculated from the dynamic behavior of the battery. During the process of fully discharging the battery, the values of SoC corresponding to the battery voltage were determined by counting the current. The values of SoC obtained as a result of the current counting process were compared with the values calculated through the equivalent circuit. As a result of the comparisons, an average accuracy rate of 99.85% was achieved in estimating the SoC. These results show that the proposed method can be used to estimate the SoC in systems using serially connected batteries.
Ethical Statement
As the authors of this study, we declare that all ethical standards have been complied with.
Supporting Institution
This study was supported by Panoteknik Generator Electricity and KOSGEB within the scope of project number 359846.
References
- V. Spath, A. Jossen, H. Doring, and J. Garche, "The detection of the state of health of lead-acid batteries," in Proceedings of Power and Energy Systems in Converging Markets, 23-23 Oct. 1997 1997, pp. 681-686, doi: 10.1109/INTLEC.1997.646070.
- S. Jiang, "A Parameter Identification Method for a Battery Equivalent Circuit Model," 2011. [Online]. Available: https://doi.org/10.4271/2011-01-1367.
- J. N. Chiasson and B. Vairamohan, "Estimating the state of charge of a battery," Proceedings of the 2003 American Control Conference, 2003., vol. 4, pp. 2863-2868 vol.4, 2003.
- M. Jongerden and B. R. Haverkort, "Which Battery Model to Use?," Software, IET, vol. 3, pp. 445-457, 01/01 2010, doi: 10.1049/iet-sen.2009.0001.
- S. Tamilselvi et al., "A Review on Battery Modelling Techniques," Sustainability, vol. 13, no. 18, p. 10042, 2021. [Online]. Available: https://www.mdpi.com/2071-1050/13/18/10042.
- D. N. Rakhmatov, "Battery voltage modeling for portable systems," ACM Trans. Design Autom. Electr. Syst., vol. 14, pp. 29:1-29:36, 2009.
- T. Hu, B. Zanchi, and J. Zhao, "Simple Analytical Method for Determining Parameters of Discharging Batteries," IEEE Transactions on Energy Conversion, vol. 26, pp. 787-798, 2011.
- C. Cai, D. Du, and Z. Liu, "Battery state-of-charge (SOC) estimation using adaptive neuro-fuzzy inference system (ANFIS)," The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03., vol. 2, pp. 1068-1073 vol.2, 2003.
- B. Xia et al., "State of charge estimation of lithium-ion batteries using optimized Levenberg-Marquardt wavelet neural network," Energy, vol. 153, pp. 694-705, 2018/06/15/ 2018, doi: https://doi.org/10.1016/j.energy.2018.04.085.
- G. F. Guo, L. Shui, X. L. Wu, and B. G. Cao, "SOC Estimation for Li-Ion Battery Using SVM Based on Particle Swarm Optimization," Advanced Materials Research, vol. 1051, pp. 1004-1008, 2014, doi: 10.4028/www.scientific.net/AMR.1051.1004.
- J. Meng, G. Luo, M. Ricco, M. Swierczynski, D.-I. Stroe, and R. Teodorescu, "Overview of Lithium-Ion Battery Modeling Methods for State-of-Charge Estimation in Electrical Vehicles," Applied Sciences, vol. 8, no. 5, p. 659, 2018. [Online]. Available: https://www.mdpi.com/2076-3417/8/5/659.
- L. Zhang, Z. Wang, X. Hu, F. Sun, and D. G. Dorrell, "A comparative study of equivalent circuit models of ultracapacitors for electric vehicles," Journal of Power Sources, vol. 274, pp. 899-906, 2015/01/15/ 2015, doi: https://doi.org/10.1016/j.jpowsour.2014.10.170.
- Özbalcı, Ü., & Kılıç, E. (2019). MODELING THE BATTERY SYSTEM OF AN ELECTRIC VEHICLE. Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi, 22, 64-69. https://doi.org/10.17780/ksujes.600809
- S. Lee, J. Kim, J. Lee, and B. H. Cho, "State-of-charge and capacity estimation of lithium-ion battery using a new open-circuit voltage versus state-of-charge," Journal of Power Sources, vol. 185, no. 2, pp. 1367-1373, 2008/12/01/ 2008, doi: https://doi.org/10.1016/j.jpowsour.2008.08.103.
EXTRACTION OF THEVENIN-BASED EQUIVALENT CIRCUIT OF MULTI-CELL LEAD ACID BATTERY PACK AND SoC ESTIMATION
Year 2024,
Volume: 3 Issue: 1, 93 - 100, 30.06.2024
Hayri Arabacı
,
Kemal Erdoğan
Abstract
Lead acid batteries are widely used in UPS due to their cheapness. In case of mains power failure, the length of the operating period powered by the battery depends on the energy capacity of the battery. In this case, predicting the remaining time depending on usage is important for the healthy operation of the system. Determining the remaining time can be done by monitoring the SoC of the batteries. SoC monitoring can be done using equivalent circuit models of the battery. In systems where a single battery cell is used, the equivalent circuit is generally taken into account for a single cell. Nowadays many serially connected batteries are used in UPS. In this case, it becomes difficult to make calculations in the equivalent circuit created by connecting the single cell equivalent circuit in series. In this study, the approach of using a single equivalent circuit model to be created for the entire system is proposed. In the study, the Thevenin equivalent circuit model of an uninterruptible power supply battery group, in which 8 batteries (12V) are connected in series, was created with only three parameters. The accuracy of the created equivalent circuit was ensured by comparing it with the values calculated using the current counting method. First, the discharge curve of the battery was obtained. SoC-Open Circuit Voltage graph was created from these curves. Equivalent circuit parameters were calculated from the dynamic behavior of the battery. During the process of fully discharging the battery, the values of SoC corresponding to the battery voltage were determined by counting the current. The values of SoC obtained as a result of the current counting process were compared with the values calculated through the equivalent circuit. As a result of the comparisons, an average accuracy rate of 99.85% was achieved in estimating the SoC. These results show that the proposed method can be used to estimate the SoC in systems using serially connected batteries.
References
- V. Spath, A. Jossen, H. Doring, and J. Garche, "The detection of the state of health of lead-acid batteries," in Proceedings of Power and Energy Systems in Converging Markets, 23-23 Oct. 1997 1997, pp. 681-686, doi: 10.1109/INTLEC.1997.646070.
- S. Jiang, "A Parameter Identification Method for a Battery Equivalent Circuit Model," 2011. [Online]. Available: https://doi.org/10.4271/2011-01-1367.
- J. N. Chiasson and B. Vairamohan, "Estimating the state of charge of a battery," Proceedings of the 2003 American Control Conference, 2003., vol. 4, pp. 2863-2868 vol.4, 2003.
- M. Jongerden and B. R. Haverkort, "Which Battery Model to Use?," Software, IET, vol. 3, pp. 445-457, 01/01 2010, doi: 10.1049/iet-sen.2009.0001.
- S. Tamilselvi et al., "A Review on Battery Modelling Techniques," Sustainability, vol. 13, no. 18, p. 10042, 2021. [Online]. Available: https://www.mdpi.com/2071-1050/13/18/10042.
- D. N. Rakhmatov, "Battery voltage modeling for portable systems," ACM Trans. Design Autom. Electr. Syst., vol. 14, pp. 29:1-29:36, 2009.
- T. Hu, B. Zanchi, and J. Zhao, "Simple Analytical Method for Determining Parameters of Discharging Batteries," IEEE Transactions on Energy Conversion, vol. 26, pp. 787-798, 2011.
- C. Cai, D. Du, and Z. Liu, "Battery state-of-charge (SOC) estimation using adaptive neuro-fuzzy inference system (ANFIS)," The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03., vol. 2, pp. 1068-1073 vol.2, 2003.
- B. Xia et al., "State of charge estimation of lithium-ion batteries using optimized Levenberg-Marquardt wavelet neural network," Energy, vol. 153, pp. 694-705, 2018/06/15/ 2018, doi: https://doi.org/10.1016/j.energy.2018.04.085.
- G. F. Guo, L. Shui, X. L. Wu, and B. G. Cao, "SOC Estimation for Li-Ion Battery Using SVM Based on Particle Swarm Optimization," Advanced Materials Research, vol. 1051, pp. 1004-1008, 2014, doi: 10.4028/www.scientific.net/AMR.1051.1004.
- J. Meng, G. Luo, M. Ricco, M. Swierczynski, D.-I. Stroe, and R. Teodorescu, "Overview of Lithium-Ion Battery Modeling Methods for State-of-Charge Estimation in Electrical Vehicles," Applied Sciences, vol. 8, no. 5, p. 659, 2018. [Online]. Available: https://www.mdpi.com/2076-3417/8/5/659.
- L. Zhang, Z. Wang, X. Hu, F. Sun, and D. G. Dorrell, "A comparative study of equivalent circuit models of ultracapacitors for electric vehicles," Journal of Power Sources, vol. 274, pp. 899-906, 2015/01/15/ 2015, doi: https://doi.org/10.1016/j.jpowsour.2014.10.170.
- Özbalcı, Ü., & Kılıç, E. (2019). MODELING THE BATTERY SYSTEM OF AN ELECTRIC VEHICLE. Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi, 22, 64-69. https://doi.org/10.17780/ksujes.600809
- S. Lee, J. Kim, J. Lee, and B. H. Cho, "State-of-charge and capacity estimation of lithium-ion battery using a new open-circuit voltage versus state-of-charge," Journal of Power Sources, vol. 185, no. 2, pp. 1367-1373, 2008/12/01/ 2008, doi: https://doi.org/10.1016/j.jpowsour.2008.08.103.