Improved covariance matching—electrical equivalent modeling for accurate internal state characterization of packing lithium-ion batteries
Corresponding Author
Shunli Wang
School of Information Engineering & Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Southwest University of Science and Technology, Mianyang, China
Correspondence
Shunli Wang, School of Information Engineering & Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Southwest University of Science and Technology, Mianyang 621010, China.
Email: [email protected]
Search for more papers by this authorYongcun Fan
School of Information Engineering & Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Southwest University of Science and Technology, Mianyang, China
Search for more papers by this authorChunmei Yu
School of Information Engineering & Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Southwest University of Science and Technology, Mianyang, China
Search for more papers by this authorSiyu Jin
Department of Energy Technology, Aalborg University, Aalborg East, Denmark
Search for more papers by this authorCarlos Fernandez
School of Pharmacy and Life Sciences, Robert Gordon University, Aberdeen, UK
Search for more papers by this authorDaniel-Ioan Stroe
Department of Energy Technology, Aalborg University, Aalborg East, Denmark
Search for more papers by this authorCorresponding Author
Shunli Wang
School of Information Engineering & Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Southwest University of Science and Technology, Mianyang, China
Correspondence
Shunli Wang, School of Information Engineering & Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Southwest University of Science and Technology, Mianyang 621010, China.
Email: [email protected]
Search for more papers by this authorYongcun Fan
School of Information Engineering & Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Southwest University of Science and Technology, Mianyang, China
Search for more papers by this authorChunmei Yu
School of Information Engineering & Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Southwest University of Science and Technology, Mianyang, China
Search for more papers by this authorSiyu Jin
Department of Energy Technology, Aalborg University, Aalborg East, Denmark
Search for more papers by this authorCarlos Fernandez
School of Pharmacy and Life Sciences, Robert Gordon University, Aberdeen, UK
Search for more papers by this authorDaniel-Ioan Stroe
Department of Energy Technology, Aalborg University, Aalborg East, Denmark
Search for more papers by this authorFunding information: China Scholarship Council, Grant/Award Number: 201908515099; Fund of Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Grant/Award Number: 18kftk03; National Natural Science Foundation of China, Grant/Award Numbers: 62173281, 61801407; Sichuan science and technology program, Grant/Award Number: 2019YFG0427
Summary
As for the cell-to-cell inconsistency of packing lithium-ion batteries, accurate equivalent modeling plays a significant role in the working characteristic monitoring and improving the safety protection quality under complex working conditions. In this work, a novel covariance matching–electrical equivalent circuit modeling method is proposed to realize the adaptive working state characterization by considering the internal reaction features, and an improved adaptive weighting factor correction-differential Kalman filtering model is constructed for the iterative calculation process. A new parameter named state of balance is introduced to describe the cell-to-cell variation mathematically by forming an effective influence correction strategy. An adaptive covariance matching method is investigated to update and transmit the noise matrix for high-power energy supply conditions, in which the weighting factor correction is conducted by considering the coupling relationship to improve the prediction accuracy. Experimental tests are conducted to verify the estimation effect, in which the closed-circuit voltage responds well corresponding to the battery state variation. The maximum closed-circuit voltage traction error is 1.80%, and the maximum SOC estimation error for packing lithium-ion batteries is 1.114% for the long-term experimental tests with the MAE value of 0.00481 and RMSE value of 5.44085E-5. The improved covariance matching-electrical equivalent circuit modeling method provides a theoretical foundation for the reliable application of lithium-ion batteries.
CONFLICT OF INTEREST
The authors declare no competing interests.
Open Research
DATA AVAILABILITY STATEMENT
The authors declare that the main data supporting the findings of this study are available within the article and its supporting information files. Extra data are available from the corresponding authors on reasonable request https://www.researchgate.net/project/Battery-life-test.
REFERENCES
- 1Zhang ZY, Zhang L, Hu L, Huang C. Active cell balancing of lithium-ion battery pack based on average state of charge. Int J Energy Res. 2020; 44(4): 2535-2548.
- 2Pradeeswari K, Venkatesan A, Pandi P, Karthik K, Krishna KVH, Kumar RM. Study on the electrochemical performance of ZnO nanoparticles synthesized via non-aqueous sol-gel route for supercapacitor applications. Mater Res Express. 2019; 6(10): 1-19.
- 3Pradeeswari K, Venkatesan A, Pandi P, et al. Effect of cerium on electrochemical properties of V2O5 nanoparticles synthesized via non-aqueous sol-gel technique. Ionics. 2020; 26(2): 905-912.
- 4Li D, Zhang Z, Liu P, Wang Z, Zhang L. Battery fault diagnosis for electric vehicles based on voltage abnormality by combining the long short-term memory neural network and the equivalent circuit model. IEEE Trans Power Electron. 2021; 36(2): 1303-1315.
- 5Bian XL, Wei Z, He J, Yan F, Liu L. A two-step parameter optimization method for low-order model-based state-of-charge estimation. IEEE Trans Transport Electrif. 2021; 7(2): 399-409.
- 6Oyewole I, Kwak KH, Kim Y, Lin X. Optimal discretization approach to the enhanced single-particle model for Li-ion batteries. IEEE Trans Transport Electrif. 2021; 7(2): 369-381.
- 7Wang QS, Wang Z, Zhang L, Liu P, Zhang Z. A novel consistency evaluation method for series-connected battery systems based on real-world operation data. IEEE Trans Transport Electrif. 2021; 7(2): 437-451.
- 8Shateri N, Shi Z, Auger DJ, Fotouhi A. Lithium-sulfur cell state of charge estimation using a classification technique. IEEE Trans Veh Technol. 2021; 70(1): 212-224.
- 9Shrivastava P, Kok Soon T, Bin Idris MYI, Mekhilef S, Adnan SBRS. Combined state of charge and state of energy estimation of lithium-ion battery using dual forgetting factor-based adaptive extended Kalman filter for electric vehicle applications. IEEE Trans Veh Technol. 2021; 70(2): 1200-1215.
- 10Sethia G, Majhi S, Nayak SK, Mitra S. Strict Lyapunov super twisting observer design for state of charge prediction of lithium-ion batteries. IET Renew Power Gener. 2021; 15(2): 424-435.
- 11Han WJ, Zou C, Zhou C, Zhang L. Estimation of cell SOC evolution and system performance in module-based battery charge equalization systems. IEEE Trans Smart Grid. 2019; 10(5): 4717-4728.
- 12Xu YD, Hu M, Zhou A, et al. State of charge estimation for lithium-ion batteries based on adaptive dual Kalman filter. Appl Math Model. 2020; 77: 1255-1272.
- 13Lotfi F, Ziapour S, Faraji F, Taghirad HD. A switched SDRE filter for state of charge estimation of lithium-ion batteries. Int J Electr Power Energy Syst. 2020; 117:105666.
- 14Lai X, Wang S, Ma S, Xie J, Zheng Y. Parameter sensitivity analysis and simplification of equivalent circuit model for the state of charge of lithium-ion batteries. Electrochim Acta. 2020; 330:135239.
- 15Bian C, He H, Yang S, Huang T. State-of-charge sequence estimation of lithium-ion battery based on bidirectional long short-term memory encoder-decoder architecture. J Power Sources. 2020; 449:227558.
- 16Yang L, Cai Y, Yang Y, Deng Z. Supervisory long-term prediction of state of available power for lithium-ion batteries in electric vehicles. Appl Energy. 2020; 257: 1-14.
- 17Li S, Li K, Xiao E, Xiong R, Zhang J, Fischer P. A novel model predictive control scheme based observer for working conditions and reconditioning monitoring of zinc-nickel single flow batteries. J Power Sources. 2020; 445:227282.
- 18Hou J, Yang Y, Gao T. A normal-gamma-based adaptive dual unscented Kalman filter for battery parameters and state-of-charge estimation with heavy-tailed measurement noise. Int J Energy Res. 2020; 44: 3510-3525.
- 19Hou J, Song ZY. A hierarchical energy management strategy for hybrid energy storage via vehicle-to-cloud connectivity. Appl Energy. 2020; 257:113900.
- 20Jiang QQ, Li J, Yuan N, Wu Z, Tang J. Black phosphorus with superior lithium ion batteries performance directly synthesized by the efficient thermal-vaporization method. Electrochim Acta. 2018; 263: 272-276.
- 21Tan T, Chen K, Lin Q, Jiang Y, Yuan L, Zhao Z. An approach to estimate lithium-ion battery state of charge based on adaptive Lyapunov super twisting observer. IEEE Trans Circuits Syst I-Regul Pap. 2021; 68(3): 1354-1365.
- 22Lee C, Jo S, Kwon D, Pecht MG. Capacity-fading behavior analysis for early detection of unhealthy Li-ion batteries. IEEE Trans Ind Electron. 2021; 68(3): 2659-2666.
- 23Liu KL, Shang Y, Ouyang Q, Widanage WD. A data-driven approach with uncertainty quantification for predicting future capacities and remaining useful life of Lithium-ion battery. IEEE Trans Ind Electron. 2021; 68(4): 3170-3180.
- 24Wang C, Yang YY, Zhou PZ. Towards efficient scheduling of federated Mobile devices under computational and statistical heterogeneity. IEEE Trans Parallel Distrib Syst. 2021; 32(2): 394-410.
- 25Dai HD, Zhao G, Lin M, Wu J, Zheng G. A novel estimation method for the state of health of lithium-ion battery using prior knowledge-based neural network and Markov chain. IEEE Trans Ind Electron. 2019; 66(10): 7706-7716.
- 26Zhou W, Huang R, Liu K, Zhang W. A novel interval-based approach for quantifying practical parameter identifiability of a lithium-ion battery model. Int J Energy Res. 2020; 44(5): 3558-3573.
- 27Xie Y, Li W, Hu X, Zou C, Feng F, Tang X. Novel Mesoscale Electrothermal modeling for lithium-ion batteries. IEEE Trans Power Electron. 2020; 35(3): 2595-2614.
- 28Xie Y, He XJ, Hu XS, et al. An improved resistance-based thermal model for a pouch lithium-ion battery considering heat generation of posts. Appl Therm Eng. 2020; 164:114455.
- 29Bi YL, Choe SY. An adaptive sigma-point Kalman filter with state equality constraints for online state-of-charge estimation of a Li(NiMnCo)O-2/carbon battery using a reduced-order electrochemical model. Appl Energy. 2020; 258:113925.
- 30Banguero E, Correcher A, Pérez-Navarro Á, García E, Aristizabal A. Diagnosis of a battery energy storage system based on principal component analysis. Renew Energy. 2020; 146: 2438-2449.
- 31Wang YF, Li J, Li T, et al. Black phosphorous quantum dots sandwiched organic solar cells. Small. 2019; 15(47): 1-6.
- 32Wang YJ, Gao G, Li X, Chen Z. A fractional-order model-based state estimation approach for lithium-ion battery and ultra-capacitor hybrid power source system considering load trajectory. J Power Sources. 2020; 449: 1-12.
- 33Wang SL, Stroe DI, Fernandez C, Xiong LY, Fan YC, Cao W. A novel power state evaluation method for the lithium battery packs based on the improved external measurable parameter coupling model. J Clean Prod. 2020; 242(118506): 1-13.
- 34Wang SL, Fernandez C, Fan Y, et al. A novel safety assurance method based on the compound equivalent modeling and iterate reduce particle-adaptive kalman filtering for the unmanned aerial vehicle lithium ion batteries. Energy Sci Eng. 2020; 8: 1484-1500.
- 35Lang P, Yuan N, Jiang Q, Zhang Y, Tang J. Recent advances and prospects of metal-based catalysts for oxygen reduction reaction. Energ Technol. 2020; 8(3): 1-11.
- 36Wang D, Kong JZ, Yang F, Zhao Y, Tsui KL. Battery prognostics at different operating conditions. Measurement. 2020; 151:107182.
- 37Xiong R, Yang R, Chen Z, Shen W, Sun F. Online fault diagnosis of external short circuit for lithium-ion battery pack. IEEE Trans Ind Electron. 2020; 67(2): 1081-1091.
- 38Liu LS, Feng X, Zhang M, et al. Comparative study on substitute triggering approaches for internal short circuit in lithium-ion batteries. Appl Energy. 2020; 259:114143.
- 39Gan YH, Wang J, Liang J, Huang Z, Hu M. Development of thermal equivalent circuit model of heat pipe-based thermal management system for a battery module with cylindrical cells. Appl Therm Eng. 2020; 164:114523.
- 40Galatro D, Silva CD, Romero DA, Trescases O, Amon CH. Challenges in data-based degradation models for lithium-ion batteries. Int J Energy Res. 2020; 44: 3954-3975.
- 41Cheng F, Hu Y, Zhao LX. Analysis of weak solutions for the phase-field model for lithium-ion batteries. Appl Math Model. 2020; 78: 185-199.
- 42Chen XP, Wang T, Zhang Y, Ji H, Ji Y, Yuan Q. Dynamic behavior and modeling of prismatic lithium-ion battery. Int J Energy Res. 2020; 44(1): 2984-2997.
- 43Xue ZW, Zhang Y, Cheng C, Ma G. Remaining useful life prediction of lithium-ion batteries with adaptive unscented kalman filter and optimized support vector regression. Neurocomputing. 2020; 376: 95-102.
- 44Xiong R, Li L, Yu Q, Jin Q, Yang R. A set membership theory based parameter and state of charge co-estimation method for all-climate batteries. J Clean Prod. 2020; 249: 1-14.
- 45Zhou YP, Huang MH, Pecht M. Remaining useful life estimation of lithium-ion cells based on k-nearest neighbor regression with differential evolution optimization. J Clean Prod. 2020; 249: 1-12.
- 46Gan CQ, Yan W, Zhang Y, Jiang Q, Tang J. Research progress of two-dimensional layered and related derived materials for nitrogen reduction reaction. Sustain Energy Fuels. 2021; 5(13): 3260-3277.
- 47Beelen H, Bergveld HJ, Donkers MCF. Joint estimation of battery parameters and state of charge using an extended Kalman filter: a single-parameter tuning approach. IEEE Trans Control Syst Technol. 2021; 29(3): 1087-1101.
- 48Tian N, Fang H, Chen J, Wang Y. Nonlinear double-capacitor model for rechargeable batteries: modeling, identification, and validation. IEEE Trans Control Syst Technol. 2021; 29(1): 370-384.
- 49Sihvo J, Roinila T, Stroe DI. Novel fitting algorithm for Parametrization of equivalent circuit model of Li-ion battery from broadband impedance measurements. IEEE Trans Ind Electron. 2021; 68(6): 4916-4926.
- 50Li Y, Xiong B, Vilathgamuwa DM, Wei Z, Xie C, Zou C. Constrained ensemble Kalman filter for distributed electrochemical state estimation of lithium-ion batteries. IEEE Trans Ind Inform. 2021; 17(1): 240-250.
- 51Tian N, Fang HZ, Wang YB. Real-time optimal lithium-ion battery charging based on explicit model predictive control. IEEE Trans Ind Inform. 2021; 17(2): 1318-1330.
- 52Fan XY, Zhang W, Wang Z, An F, Li H, Jiang J. Simplified battery pack modeling considering inconsistency and evolution of current distribution. IEEE Trans Intell Transp Syst. 2021; 22(1): 630-639.
- 53Sun BX, He X, Zhang W, Ruan H, Su X, Jiang J. Study of parameters identification method of Li-ion battery model for EV power profile based on transient characteristics data. IEEE Trans Intell Transp Syst. 2021; 22(1): 661-672.
- 54Tian JP, Xiong R, Shen W, Wang J, Yang R. Online simultaneous identification of parameters and order of a fractional order battery model. J Clean Prod. 2020; 247: 1-14.
- 55Tagade P, Hariharan KS, Ramachandran S, et al. Deep Gaussian process regression for lithium-ion battery health prognosis and degradation mode diagnosis. J Power Sources. 2020; 445: 1-14.
- 56Ng B, Coman PT, Mustain WE, White RE. Non-destructive parameter extraction for a reduced order lumped electrochemical-thermal model for simulating Li-ion full-cells. J Power Sources. 2020; 445:227296.