Improvements to Temperature, Warburg Impedance, and Voltage Computations for a Design-Based Predictive Model for Lithium-Ion Capacitors — Oak Academic Publishing
Research ArticleOpen AccessGoogle Scholar indexed
Improvements to Temperature, Warburg Impedance, and Voltage Computations for a Design-Based Predictive Model for Lithium-Ion Capacitors
Moye Consultants, Tallahassee, FL, USA
,
Greencastle Sustainable Electrical Energy Systems, Tallahassee, FL, USA
,
Department of Electrical and Computer Engineering, Florida A&M University and Florida State University, Tallahassee, FL, USA
,
Department of Electrical and Computer Engineering, Florida A&M University and Florida State University, Tallahassee, FL, USA
,
Department of Electrical and Computer Engineering, Florida A&M University and Florida State University, Tallahassee, FL, USA
,
Department of Electrical and Computer Engineering, Florida A&M University and Florida State University, Tallahassee, FL, USA
,
Department of Electrical and Computer Engineering, Florida A&M University and Florida State University, Tallahassee, FL, USA
1 Moye Consultants, Tallahassee, FL, USA
2 Greencastle Sustainable Electrical Energy Systems, Tallahassee, FL, USA
3 Department of Electrical and Computer Engineering, Florida A&M University and Florida State University, Tallahassee, FL, USA
4 Department of Electrical and Computer Engineering, Florida A&M University and Florida State University, Tallahassee, FL, USA
5 Department of Electrical and Computer Engineering, Florida A&M University and Florida State University, Tallahassee, FL, USA
6 Department of Electrical and Computer Engineering, Florida A&M University and Florida State University, Tallahassee, FL, USA
7 Department of Electrical and Computer Engineering, Florida A&M University and Florida State University, Tallahassee, FL, USA
An earlier study manipulated the Butler-Volmer equation to effectively model a lithium-ion capacitor’s (LIC) energy storage as a function of its constituent components and charge current. However, this model had several shortcomings: computed temperature values were too low, voltage was inaccurate, and the model required Warburg impedance values that were two orders of magnitude higher than experimental results. This study began by analyzing the model’s temperature and voltage computations in order to justify output values. Ultimately, these justifications failed. Therefore, in situ temperature rise was measured during charge cycles. Experimental results indicated that temperature increases minimally during a charge cycle (<1%). At high current densities (≥150 A · kg -1 ) temperature increase is negligible. After it was found that LIC temperature change is minimal during a charge cycle, the model accurately computed LIC voltage during the charge cycle and computed Warburg impedance that agreed with values derived from earlier experimental studies, even falling within the measurements’ precision error.
Yao, S., Tang, H., Liu, M., Chen, L., Jing, M., Shen, X., Li, T. and Tan, J. (2019) TiO2 Nanoparticles Incorporation in Carbon Nanofiber as a Multi-Functional Interlayer toward Ultralong Cycle-Life Lithium-Sulfur Batteries. Journal of Alloys and Compounds, 788, 639-648. https://doi.org/10.1016/j.jallcom.2019.02.236
Shi, Y., Yang, D., Yu, R., Liu, Y., Hao, S.M., Zhang, S., Qu, J. and Yu, Z.Z. (2018) Robust Binder-Free Anodes Assembled with Ultralong Mischcrystal TiO2 Nanowires and Reduced Graphene Oxide for High-Rate and Long Cycle Life Lithium-Ion Storage. Journal of Power Sources, 383, 115-123. https://doi.org/10.1016/j.jpowsour.2018.02.046
Zheng, J. (2003) The Limitations of Energy Density of Battery/Double-Layer Capacitor Asymmetric Cells. Journal of the Electrochemical Society, 150, A484-A492. https://doi.org/10.1149/1.1559067
Moye, D.G. (2019) A Predictive Model of Design Performance for Lithium-Ion Capacitors. PhD Dissertation, Florida State University, Tallahassee.
Uno, M. and Tanaka, K. (2012) Accelerated Charge-Discharge Cycling Test and Cycle Life Prediction Model for Supercapacitors in Alternative Battery Applications. IEEE Transactions on Industrial Electronics, 59, 4704-4712. https://doi.org/10.1109/TIE.2011.2182018
Wang, Y., Liu, C., Pan, R. and Chen, Z. (2017) Modeling and State-of-Charge Prediction of Lithium-Ion Battery and Ultracapacitor Hybrids with a Co-Estimator. Energy, 121, 739-750. https://doi.org/10.1016/j.energy.2017.01.044
Wang, Y., Gao, G., Li, X. and Chen, Z. (2020) A Fractional-Order Model-Based State Estimation Approach for Lithium-Ion Battery and Ultra-Capacitor Hybrid Power Source System Considering Load Trajectory. Journal of Power Sources, 449, Article ID: 227543. https://doi.org/10.1016/j.jpowsour.2019.227543
Srinivasan, V. and Wang, C.Y. (2003) Analysis of Electrochemical and Thermal Behavior of Li-Ion Cells. Journal of the Electrochemical Society, 150, A98-A106. https://doi.org/10.1149/1.1526512
Quintana, J.J., Ramos, A. and Nuez, I. (2013) Modeling of an EDLC with Fractional Transfer Functions Using Mittag-Leffler Equations. Mathematical Problems in Engineering, Special Issue: Advanced Topics in Dynamics of Complex Systems, 2013, Article ID: 807034. https://doi.org/10.1155/2013/807034
Moye, D.G., Moss, P.L., Chen, X., Cao, W.J. and Foo, S.Y. (2019) A Design-Based Predictive Model for Lithium-Ion Capacitors. Journal of Power Sources, 433, Article ID: 226694. https://doi.org/10.1016/j.jpowsour.2019.226694
Cao, W. and Zheng, J. (2013) The Effect of Cathode and Anode Potentials on the Cycling Performance of Li-Ion Capacitors. Journal of the Electrochemical Society, 160, A1572-A1576. https://doi.org/10.1149/2.114309jes
Cao, W., Greenleaf, M., Li, Y., Adams, D., Hagen, M., Doung, T., et al. (2015) The Effect of Lithium Loadings on Anode to the Voltage Drop during Charge and Discharge of Li-Ion Capacitors. Journal of Power Sources, 280, 600-605. https://doi.org/10.1016/j.jpowsour.2015.01.102
Randles, J.E.B. (1947) Kinetics of Rapid Electrode Reactions. Discussions of the Faraday Society, 1, 11-19. https://doi.org/10.1039/df9470100011
Hampson, N., Karunathilaka, S. and Leek, R. (1980) The Impedance of Electrical Storage Cells. Journal of Applied Electrochemistry, 10, 3-11. https://doi.org/10.1007/BF00937331
Moss, P.L., Zheng, J.P., Ao, G., Cygan, P.J. and Plichta, E.J. (2007) Transmission Line Model for Describing Power Performance of Electrochemical Capacitors. Journal of the Electrochemical Society, 154, A1020-1025. https://doi.org/10.1149/1.2778126
Omar, N., Ronsmans, J., Firozu, Y., Monem, M.A., Samba, A., Gualous, H., et al. (2013) Lithium-Ion Capacitor—Advanced Technology for Rechargeable Energy Storage Systems. Electric Vehicle Symposium and Exhibition (EVS27), Barcelona, 17-20 November 2013, 1-11. https://doi.org/10.1109/EVS.2013.6914718
Uno, M. and Kukita, A. (2016) Cycle Life Evaluation Based on Accelerated Aging Testing for Lithium-Ion Capacitors as Alternative to Rechargeable Batteries. IEEE Transactions on Industrial Electronics, 63, 1607-1617. https://doi.org/10.1109/TIE.2015.2504578
Barcellona, S., Ciccarelli, F., Iannuzzi, D. and Piegari, L. (2014) Modeling and Parameter Identification of Lithium-Ion Capacitor Modules. IEEE Transactions on Sustainable Energy, 5, 785-794. https://doi.org/10.1109/TSTE.2014.2301950
Musolino, V., Piegari, L. and Tironi, E. (2013) New Full-Frequency-Range Supercapacitor Model with Easy Identification Procedure. IEEE Transactions on Industrial Electronics, 60, 112-120. https://doi.org/10.1109/TIE.2012.2187412
Barcellona, S. and Piegari, L. (2017) A Lithium-Ion Capacitor Model Working on a Wide Temperature Range. Journal of Power Sources, 342, 241-251. https://doi.org/10.1016/j.jpowsour.2016.12.055
Cao, W., Li, Y., Fitch, B., Shih, J., Doung, T. and Zheng, J. (2014) Strategies to Optimize Lithium-Ion Supercapacitors Achieving High-Performance: Cathode Configurations, Lithium Loadings on Anode, and Types of Separator. Journal of Power Sources, 268, 841-847. https://doi.org/10.1016/j.jpowsour.2014.06.090
Cao, W. and Zheng, J. (2012) Li-Ion Capacitors with Carbon Cathode and Hard Carbon/Stabilized Lithium Metal Powder Anode Electrodes. Journal of Power Sources, 213, 180-185. https://doi.org/10.1016/j.jpowsour.2012.04.033
Cao, W.J., Shih, J., Zheng, J.P. and Doung, T. (2014) Development and Characterization of Li-Ion Capacitor Pouch Cells. Journal of Power Sources, 257, 388-393. https://doi.org/10.1016/j.jpowsour.2014.01.087
Sikha, G., Popov, B.N. and White, R.E. (2004) Effect of Porosity on the Capacity Fade of a Lithium-Ion Battery Theory. Journal of the Electrochemical Society, 151, A1104-A1114. https://doi.org/10.1149/1.1759972
Sikha, G., White, R.E. and Popov, B.N. (2005) A Mathematical Model for a Lithium-Ion Battery/Electrochemical Capacitor Hybrid System. Journal of the Electrochemical Society, 152, A1682-A1693. https://doi.org/10.1149/1.1940749
Cao, W., Zheng, J., Adams, D., Doung, T. and Zheng, J.P. (2014) Comparative Study of the Power and Cycling Performance for Advanced Lithium-Ion Capacitors with Various Carbon. Journal of the Electrochemical Society, 161, A2087-A2092. https://doi.org/10.1149/2.0431414jes
Cao, W., Luo, J., Yan, J., Chen, X., Brandt, W., Warfield, M., et al. (2017) High Performance Li-Ion Capacitor Laminate Cells Based on Hard Carbon/Lithium Stripes Negative Electrodes. Journal of the Electrochemical Society, 164, A93-A98. https://doi.org/10.1149/2.0351702jes
Boltersdorf, J., Delp, S.A., Yan, J., Cao, B., Zheng, J.P., Jow, T.R., et al. (2018) Electrochemical Performance of Lithium-Ion Capacitors Evaluated under High Temperature and High Voltage Stress Using Redox Stable Electrolytes and Additives. Journal of Power Sources, 373, 20-30. https://doi.org/10.1016/j.jpowsour.2017.10.084
Tang, X., Wang, Y., Zou, C., Yao, K., Xia, Y. and Gao, F. (2019) A Novel Framework for Lithium-Ion Battery Modeling Considering Uncertainties of Temperature and Aging. Energy Conversion and Management, 180, 162-170. https://doi.org/10.1016/j.enconman.2018.10.082
Wang, Y. and Chen, Z. (2020) A Framework for State-of-Charge and Remaining Discharge Time Prediction Using Unscented Particle Filter. Applied Energy, 260, Article ID: 114324. https://doi.org/10.1016/j.apenergy.2019.114324
Yoshino, A., Tsubata, T., Shimoyamada, M., Satake, H., Okano, Y., Mori, S. and Yata, S. (2004) Development of a Lithium-Type Advanced Energy Storage Device. Journal of the Electrochemical Society, 15, A2180-A2182. https://doi.org/10.1149/1.1813671
Greenleaf, M., Li, H. and Zheng, J.P. (2014) Application of Physical Electric Circuit Modeling to Characterize Li-Ion Battery Electrochemical Processes. Journal of Power Sources, 270, 113-120. https://doi.org/10.1016/j.jpowsour.2014.07.083