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

The covariance matrix of measurement noise is fixed in the Kalman filter algorithm. However, in the process of battery operation, the measurement noise is affected by different charging and discharging conditions and the external environment. Consequently, obtaining the noise statistical characteris...

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Main Authors: Liping Chen, Yu Chen, António M. Lopes, Huifang Kong, Ranchao Wu
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/5/3/91
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author Liping Chen
Yu Chen
António M. Lopes
Huifang Kong
Ranchao Wu
author_facet Liping Chen
Yu Chen
António M. Lopes
Huifang Kong
Ranchao Wu
author_sort Liping Chen
collection DOAJ
description The covariance matrix of measurement noise is fixed in the Kalman filter algorithm. However, in the process of battery operation, the measurement noise is affected by different charging and discharging conditions and the external environment. Consequently, obtaining the noise statistical characteristics is difficult, which affects the accuracy of the Kalman filter algorithm. In order to improve the estimation accuracy of the state of charge (SOC) of lithium-ion batteries under actual working conditions, a fuzzy fractional-order unscented Kalman filter (FFUKF) is proposed. The algorithm combines fuzzy inference with fractional-order unscented Kalman filter (FUKF) to infer the measurement noise in real time and take advantage of fractional calculus in describing the dynamic behavior of the lithium batteries. The accuracy of the SOC estimation under different working conditions at three different temperatures is verified. The results show that the accuracy of the proposed algorithm is superior to those of the FUKF and extended Kalman filter (EKF) algorithms.
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spelling doaj.art-46bb5d01f14f4107bf37ba6e0e12bcce2023-11-22T13:09:25ZengMDPI AGFractal and Fractional2504-31102021-08-01539110.3390/fractalfract5030091State of Charge Estimation of Lithium-Ion Batteries Based on Fuzzy Fractional-Order Unscented Kalman FilterLiping Chen0Yu Chen1António M. Lopes2Huifang Kong3Ranchao Wu4School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, ChinaSchool of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, ChinaLAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, PortugalSchool of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, ChinaSchool of Mathematics, Anhui University, Hefei 230039, ChinaThe covariance matrix of measurement noise is fixed in the Kalman filter algorithm. However, in the process of battery operation, the measurement noise is affected by different charging and discharging conditions and the external environment. Consequently, obtaining the noise statistical characteristics is difficult, which affects the accuracy of the Kalman filter algorithm. In order to improve the estimation accuracy of the state of charge (SOC) of lithium-ion batteries under actual working conditions, a fuzzy fractional-order unscented Kalman filter (FFUKF) is proposed. The algorithm combines fuzzy inference with fractional-order unscented Kalman filter (FUKF) to infer the measurement noise in real time and take advantage of fractional calculus in describing the dynamic behavior of the lithium batteries. The accuracy of the SOC estimation under different working conditions at three different temperatures is verified. The results show that the accuracy of the proposed algorithm is superior to those of the FUKF and extended Kalman filter (EKF) algorithms.https://www.mdpi.com/2504-3110/5/3/91Kalman filterstate of chargefuzzy inferencelithium-ion batteries
spellingShingle Liping Chen
Yu Chen
António M. Lopes
Huifang Kong
Ranchao Wu
State of Charge Estimation of Lithium-Ion Batteries Based on Fuzzy Fractional-Order Unscented Kalman Filter
Fractal and Fractional
Kalman filter
state of charge
fuzzy inference
lithium-ion batteries
title State of Charge Estimation of Lithium-Ion Batteries Based on Fuzzy Fractional-Order Unscented Kalman Filter
title_full State of Charge Estimation of Lithium-Ion Batteries Based on Fuzzy Fractional-Order Unscented Kalman Filter
title_fullStr State of Charge Estimation of Lithium-Ion Batteries Based on Fuzzy Fractional-Order Unscented Kalman Filter
title_full_unstemmed State of Charge Estimation of Lithium-Ion Batteries Based on Fuzzy Fractional-Order Unscented Kalman Filter
title_short State of Charge Estimation of Lithium-Ion Batteries Based on Fuzzy Fractional-Order Unscented Kalman Filter
title_sort state of charge estimation of lithium ion batteries based on fuzzy fractional order unscented kalman filter
topic Kalman filter
state of charge
fuzzy inference
lithium-ion batteries
url https://www.mdpi.com/2504-3110/5/3/91
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AT yuchen stateofchargeestimationoflithiumionbatteriesbasedonfuzzyfractionalorderunscentedkalmanfilter
AT antoniomlopes stateofchargeestimationoflithiumionbatteriesbasedonfuzzyfractionalorderunscentedkalmanfilter
AT huifangkong stateofchargeestimationoflithiumionbatteriesbasedonfuzzyfractionalorderunscentedkalmanfilter
AT ranchaowu stateofchargeestimationoflithiumionbatteriesbasedonfuzzyfractionalorderunscentedkalmanfilter