4.7 Article

State-of-Charge Estimation of Lithium-Ion Batteries Based on Fractional-Order Square-Root Unscented Kalman Filter

Journal

FRACTAL AND FRACTIONAL
Volume 6, Issue 2, Pages -

Publisher

MDPI
DOI: 10.3390/fractalfract6020052

Keywords

state-of-charge estimation; fractional-order equivalent circuit; square-root unscented Kalman filter

Funding

  1. National Natural Science Funds of China [62073114, 11971032]
  2. Ministry of Education China Mobile Research Fund [MCM20180404]
  3. Chongqing Basic Research and Frontier Exploration Project [cstc2018jcyjAX0167]
  4. Chongqing Outstanding Youth Fund Project [cstc2021jcyj-jqx0001]

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This paper presents a SOC estimation method based on fractional-order square-root unscented Kalman filter (FSR-UKF), and the effectiveness of the algorithm is proven through experiments.
The accuracy of the state-of-charge (SOC) estimation of lithium batteries affects the battery life, driving performance, and the safety of electric vehicles. This paper presents a SOC estimation method based on the fractional-order square-root unscented Kalman filter (FSR-UKF). Firstly, a fractional second-order Resistor-Capacitance (RC) circuit model of the lithium battery is derived. The accuracy of the parameterized model is verified, revealing its superiority over integer-order standard descriptions. Then, the FSR-UKF algorithm is developed, combining the advantages of the square-root unscented Kalman filter and the fractional calculus. The effectiveness of the proposed algorithm is proven under a variety of operational conditions in the perspective of the root-mean-squared error, which is shown to be below 1.0%. In addition, several experiments illustrate the performance of the FSR-UKF.

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