Battery State-Of-Charge Estimation Based on a Dual Unscented Kalman Filter and Fractional Variable-Order Model
Abstract
:1. Introduction
2. Fractional Order Calculus and Fractional Battery Model
3. State Estimation Using an Unscented Fractional Kalman Filter
- (a)
- Sigma points generation
- (b)
- State estimation time update
- (c)
- State error covariance time update
- (d)
- Output update
- (e)
- State estimate measurement update
- (f)
- State error covariance measurement update
4. Fractional Order Estimation Using a Dual Filter
- (a)
- Sigma points generation
- (b)
- Order estimation time and measurement update
- (c)
- Order error covariance measurement update
5. Experiments and Validations
5.1. Experimental Setup
5.2. Static Capacity and HPPC Test
5.3. The Dynamic Stress Test
5.4. The Federal Urban Dynamic Schedule Test
6. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
References
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Parameter | Value |
---|---|
0.0384 | |
0.0531 | |
0.0474 | |
2958.6246 | |
29,992.5891 | |
0.9219 | |
0.8028 |
Test Profile | Fixed-Order Model | Variable-Order Model |
---|---|---|
DST | 35.970 | 19.658 |
FUDS | 38.024 | 21.734 |
Test Profile | EFKF with Fixed-Order Model | UFKF with Fixed-Order Model | UFKF with Variable-Order Model |
---|---|---|---|
DST | 4.379 | 2.018 | 1.071 |
FUDS | 4.827 | 2.590 | 1.503 |
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Cai, M.; Chen, W.; Tan, X. Battery State-Of-Charge Estimation Based on a Dual Unscented Kalman Filter and Fractional Variable-Order Model. Energies 2017, 10, 1577. https://doi.org/10.3390/en10101577
Cai M, Chen W, Tan X. Battery State-Of-Charge Estimation Based on a Dual Unscented Kalman Filter and Fractional Variable-Order Model. Energies. 2017; 10(10):1577. https://doi.org/10.3390/en10101577
Chicago/Turabian StyleCai, Ming, Weijie Chen, and Xiaojun Tan. 2017. "Battery State-Of-Charge Estimation Based on a Dual Unscented Kalman Filter and Fractional Variable-Order Model" Energies 10, no. 10: 1577. https://doi.org/10.3390/en10101577