Fuzzy Sliding Mode Observer with Grey Prediction for the Estimation of the State-of-Charge of a Lithium-Ion Battery
Abstract
:1. Introduction
2. Equivalent Circuit-Based Battery Model
3. Two Sliding Mode Approaches for State-of-Charge Estimation
3.1. Conventional Sliding Mode Observer
3.2. Adaptive Gain Sliding Mode Observer
4. Fuzzy Sliding Mode Observer with Grey Prediction
4.1. Grey Prediction for the Terminal Voltage of a Li-Ion Battery
4.2. Observer Gain Adaptation Law
e | |||||
---|---|---|---|---|---|
PB | PS | ZE | NS | NB | |
PB | NS | - | - | - | NS |
PS | NS | NS | - | NS | NS |
ZE | NS | ZE | ZE | ZE | NS |
NS | PS | PS | PS | PS | PS |
NB | PB | PB | PB | PB | PB |
5. Experiment Results
5.1. Parameter Extraction
5.2. Pulse Discharge Test
SOC range | Error (%) | Methods | ||
---|---|---|---|---|
Conventional SMO | Adaptive gain SMO | GP-FSMO | ||
100% to 70% | Maximum | 5.89 | 3.05 | 2.28 |
Mean | 2.4 | 1.36 | 1.07 | |
70% to 40% | Maximum | 6.75 | 4.97 | 3.83 |
Mean | 3.71 | 2.87 | 1.92 | |
40% to 5% | Maximum | 8.16 | 5.54 | 4.11 |
Mean | 3.73 | 3.01 | 1.94 |
5.3. Random Discharge Current Test
SOC Range | Error | Methods | ||
---|---|---|---|---|
Conventional SMO | Adaptive Gain SMO | GP-FSMO | ||
100% to 65% | Maximum | 2.81 | 1.41 | 1.29 |
Mean | 1.91 | 1.42 | 1.27 | |
65% to 30% | Maximum | 5.72 | 4.82 | 2.13 |
Mean | 3.42 | 3.31 | 1.78 |
6. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
References
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Kim, D.; Goh, T.; Park, M.; Kim, S.W. Fuzzy Sliding Mode Observer with Grey Prediction for the Estimation of the State-of-Charge of a Lithium-Ion Battery. Energies 2015, 8, 12409-12428. https://doi.org/10.3390/en81112327
Kim D, Goh T, Park M, Kim SW. Fuzzy Sliding Mode Observer with Grey Prediction for the Estimation of the State-of-Charge of a Lithium-Ion Battery. Energies. 2015; 8(11):12409-12428. https://doi.org/10.3390/en81112327
Chicago/Turabian StyleKim, Daehyun, Taedong Goh, Minjun Park, and Sang Woo Kim. 2015. "Fuzzy Sliding Mode Observer with Grey Prediction for the Estimation of the State-of-Charge of a Lithium-Ion Battery" Energies 8, no. 11: 12409-12428. https://doi.org/10.3390/en81112327