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Simple Deep Neural Network Model for Accurate State of Health Estimation and Degradation Trajectory Prediction of Li-Ion Capacitor and Supercapacitor

  • Fanqi Min
  • , Binghan Cui
  • , Han Wang
  • , Wei Zheng
  • , Zheng Qu
  • , Ying Luo
  • , Taolin Lu
  • , Quansheng Zhang
  • , Hongyu Wang
  • , Yunzhi Gao
  • , Baoyu Sun*
  • , Chunyu Du*
  • , Jingying Xie*
  • *Corresponding author for this work
  • School of Chemistry and Chemical Engineering, Harbin Institute of Technology
  • Xiamen Ampace Technology Limited
  • Shaanxi Applied Physics and Chemistry Research Institute
  • Xi'an Jiaotong University
  • Shanghai Institute of Space Power Sources
  • Shanghai Institute of Technology
  • Ltd.

Research output: Contribution to journalArticlepeer-review

Abstract

The accurate and rapid estimation of the state of health (SOH) for batteries and capacitors is a crucial determinant of performance prognostics and health management. However, data-driven methods often require exhaustive data curation under random SOH and state of charge (SOC) conditions, leading to increased computational demands on battery management systems (BMS). In this study, we introduce a deep neural network (DNN) model that utilizes a Gaussian probability distribution (GPD) as the loss function to probabilistically estimate the SOH of both lithium-ion capacitors (LICs) and supercapacitors (SCs). By leveraging data from a single charge–discharge cycle, our model accurately predicts the degradation trajectories of LICs and SCs under various operational conditions, including different time intervals and charging protocols. The proposed DNN achieves SOH estimations with a root-mean-squared error (RMSE) of ≤1% and degradation trajectory predictions with an RMSE of ≤7%, reflecting high accuracy and robustness. This approach highlights exploiting limited data for accurate SOH estimation and degradation trajectory prediction by deep learning models, which will enhance the development of universal battery management algorithms for next-generation energy storage devices.

Original languageEnglish
Pages (from-to)7725-7735
Number of pages11
JournalEnergy and Fuels
Volume40
Issue number14
DOIs
StatePublished - 9 Apr 2026
Externally publishedYes

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