Studies on dynamic properties of ultracapacitors using infinite r-c chain equivalent circuit and reverse fourier transform

Shailendra Rajput, Alon Kuperman, Asher Yahalom, Moshe Averbukh

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The specific power storage capabilities of double-layer ultracapacitors are receiving significant attention from engineers and scientific researchers. Nevertheless, their dynamic behavior should be studied to improve the performance and for efficient applications in electrical devices. This article presents an infinite resistor-capacitor (r-C) chain-based mathematical model for the analysis of double layer ultracapacitors. The internal resistance and capacitance were measured for repetitive charging and discharging cycles. The magnitudes of internal resistance and capacitance showed approximately ±10% changes for charge-discharge processes. Electrochemical impedance spectroscopy investigations revealed that the impedance of a double-layer ultracapacitor does not change significantly in the temperature range of (−30 C to +30 C) and voltage range of (0.3376-2.736 V). The analysis of impedance data using the proposed mathematical model showed good agreement between the experimental and theoretical data. The dynamic behavior of the ultracapacitor was successfully represented by utilizing the proposed infinite r-C chains equivalent circuit, and the reverse Fourier transform analysis. The r-C electrical equivalent circuit was also analyzed using the PSIM simulation software to study the dynamic behavior of ultracapacitor parameters. The simulation study yields an excellent agreement between the experimental and calculated voltage characteristics for repetitive charging-discharging processes.

Original languageEnglish
Article number4583
Issue number18
StatePublished - 1 Sep 2020


  • Equivalent circuit
  • Fourier transform
  • Internal resistance
  • Ultracapacitor

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Energy Engineering and Power Technology
  • Energy (miscellaneous)
  • Control and Optimization
  • Electrical and Electronic Engineering


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