A Novel Back Propagation Neural Network Based on the Harris Hawks Optimization Algorithm for the Remaining Useful Life Prediction of Lithium-Ion Batteries

Remaining useful life (RUL) serves as a pivotal metric for quantifying lithium-ion batteries’ state of health (SOH) in electric vehicles and plays a crucial role in ensuring their safety and reliability. In order to achieve accurate and reliable RUL prediction, a novel RUL prediction method which em...

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Main Authors: Yuyang Zhou, Zijian Shao, Huanhuan Li, Jing Chen, Haohan Sun, Yaping Wang, Nan Wang, Lei Pei, Zhen Wang, Houzhong Zhang, Chaochun Yuan
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Energies
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Online Access:https://www.mdpi.com/1996-1073/18/14/3842
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author Yuyang Zhou
Zijian Shao
Huanhuan Li
Jing Chen
Haohan Sun
Yaping Wang
Nan Wang
Lei Pei
Zhen Wang
Houzhong Zhang
Chaochun Yuan
author_facet Yuyang Zhou
Zijian Shao
Huanhuan Li
Jing Chen
Haohan Sun
Yaping Wang
Nan Wang
Lei Pei
Zhen Wang
Houzhong Zhang
Chaochun Yuan
author_sort Yuyang Zhou
collection DOAJ
description Remaining useful life (RUL) serves as a pivotal metric for quantifying lithium-ion batteries’ state of health (SOH) in electric vehicles and plays a crucial role in ensuring their safety and reliability. In order to achieve accurate and reliable RUL prediction, a novel RUL prediction method which employs a back propagation (BP) neural network based on the Harris Hawks optimization (HHO) algorithm is proposed. This method optimizes the BP parameters using the improved HHO algorithm. At first, the circle chaotic mapping method is utilized to solve the problem of the initial value. Considering the problem of local convergence, Gaussian mutation is introduced to improve the search ability of the algorithm. Subsequently, two key health factors are selected as input features for the model, including the constant-current charging isovoltage rise time and constant-current discharging isovoltage drop time. The model is validated using aging data from commercial lithium iron phosphate (LiFePO<sub>4</sub>) batteries. Finally, the model is thoroughly verified under an aging test. Experimental validation using training sets comprising 50%, 60%, and 70% of the cycle data demonstrates superior predictive performance, with mean absolute error (MAE) values below 0.012, root mean square error (RMSE) values below 0.017 and mean absolute percentage error (MAPE) within 0.95%. The results indicate that the model significantly improves prediction accuracy, robustness and searchability.
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spelling doaj-art-7fdc0942c95544f6aaefbd2d733319ac2025-08-20T03:58:26ZengMDPI AGEnergies1996-10732025-07-011814384210.3390/en18143842A Novel Back Propagation Neural Network Based on the Harris Hawks Optimization Algorithm for the Remaining Useful Life Prediction of Lithium-Ion BatteriesYuyang Zhou0Zijian Shao1Huanhuan Li2Jing Chen3Haohan Sun4Yaping Wang5Nan Wang6Lei Pei7Zhen Wang8Houzhong Zhang9Chaochun Yuan10School of Automobile and Traffic Engineering, Jiangsu University, Zhenjiang 212013, ChinaSchool of Automobile and Traffic Engineering, Jiangsu University, Zhenjiang 212013, ChinaAutomotive Engineering Research Institute, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, ChinaIntelligent Manufacturing Institute, Taizhou Polytechnic College, 8 Tianxing Road, Gaoxin District, Taizhou 225300, ChinaAutomotive Engineering Research Institute, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, ChinaSchool of Material Science & Engineering, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, ChinaAutomotive Engineering Research Institute, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, ChinaAutomotive Engineering Research Institute, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, ChinaAutomotive Engineering Research Institute, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, ChinaAutomotive Engineering Research Institute, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, ChinaAutomotive Engineering Research Institute, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, ChinaRemaining useful life (RUL) serves as a pivotal metric for quantifying lithium-ion batteries’ state of health (SOH) in electric vehicles and plays a crucial role in ensuring their safety and reliability. In order to achieve accurate and reliable RUL prediction, a novel RUL prediction method which employs a back propagation (BP) neural network based on the Harris Hawks optimization (HHO) algorithm is proposed. This method optimizes the BP parameters using the improved HHO algorithm. At first, the circle chaotic mapping method is utilized to solve the problem of the initial value. Considering the problem of local convergence, Gaussian mutation is introduced to improve the search ability of the algorithm. Subsequently, two key health factors are selected as input features for the model, including the constant-current charging isovoltage rise time and constant-current discharging isovoltage drop time. The model is validated using aging data from commercial lithium iron phosphate (LiFePO<sub>4</sub>) batteries. Finally, the model is thoroughly verified under an aging test. Experimental validation using training sets comprising 50%, 60%, and 70% of the cycle data demonstrates superior predictive performance, with mean absolute error (MAE) values below 0.012, root mean square error (RMSE) values below 0.017 and mean absolute percentage error (MAPE) within 0.95%. The results indicate that the model significantly improves prediction accuracy, robustness and searchability.https://www.mdpi.com/1996-1073/18/14/3842lithium-ion batteriesremaining useful lifeback propagation neural networkHarris hawks optimization algorithm
spellingShingle Yuyang Zhou
Zijian Shao
Huanhuan Li
Jing Chen
Haohan Sun
Yaping Wang
Nan Wang
Lei Pei
Zhen Wang
Houzhong Zhang
Chaochun Yuan
A Novel Back Propagation Neural Network Based on the Harris Hawks Optimization Algorithm for the Remaining Useful Life Prediction of Lithium-Ion Batteries
Energies
lithium-ion batteries
remaining useful life
back propagation neural network
Harris hawks optimization algorithm
title A Novel Back Propagation Neural Network Based on the Harris Hawks Optimization Algorithm for the Remaining Useful Life Prediction of Lithium-Ion Batteries
title_full A Novel Back Propagation Neural Network Based on the Harris Hawks Optimization Algorithm for the Remaining Useful Life Prediction of Lithium-Ion Batteries
title_fullStr A Novel Back Propagation Neural Network Based on the Harris Hawks Optimization Algorithm for the Remaining Useful Life Prediction of Lithium-Ion Batteries
title_full_unstemmed A Novel Back Propagation Neural Network Based on the Harris Hawks Optimization Algorithm for the Remaining Useful Life Prediction of Lithium-Ion Batteries
title_short A Novel Back Propagation Neural Network Based on the Harris Hawks Optimization Algorithm for the Remaining Useful Life Prediction of Lithium-Ion Batteries
title_sort novel back propagation neural network based on the harris hawks optimization algorithm for the remaining useful life prediction of lithium ion batteries
topic lithium-ion batteries
remaining useful life
back propagation neural network
Harris hawks optimization algorithm
url https://www.mdpi.com/1996-1073/18/14/3842
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