Mathematical fitting for the variation in capacity of lithium iron phosphate batteries corresponding to cycles

Authors

  • Chi-Yao Chung Department of Engineering Science and Ocean Engineering, National Taiwan University
  • Kung-Yen Lee Department of Engineering Science and Ocean Engineering, National Taiwan University
  • Zih-Yeh Lin Department of Engineering Science and Ocean Engineering, National Taiwan University
  • Shuen-De Wu Department of Mechatronic Engineering, National Taiwan Normal University
  • Chiao Fu Department of Mechatronic Engineering, National Taiwan Normal University
  • Kuan-Ming Li Department of Mechanical Engineering, National Taiwan University
  • Kang Li Department of Mechanical Engineering, National Taiwan University
  • Huei-Jeng Lin Department of Engineering Science and Ocean Engineering, National Taiwan University

DOI:

https://doi.org/10.21914/anziamj.v57i0.10436

Abstract

It is well known that the capacity of lithium iron phosphate (LiFePO\(_{4}\)) batteries decreases as the usage cycles increase. In order to investigate the relationship between the number of charge/discharge cycles and the battery capacity, two batteries were cyclically charged and discharged using an automatic testing system, while simultaneously collecting the capacity data. The tested batteries were composed of different materials and had a capacity of 15 Ah. Each battery was cyclically charged and discharged 800 times. The batteries are analyzed and compared with each other to create fitted curves. The developed mathematical fitting, which consists of both exponential and polynomial terms, is closely responsive to the battery capacity. References
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Published

2016-10-26

Issue

Section

Proceedings Engineering Mathematics and Applications Conference