IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i3p792-d730741.html
   My bibliography  Save this article

Constant Phase Element in the Time Domain: The Problem of Initialization

Author

Listed:
  • Juan Antonio López-Villanueva

    (Department of Electronics and Computer Technology, CITIC, University of Granada, 18071 Granada, Spain)

  • Salvador Rodríguez Bolívar

    (Department of Electronics and Computer Technology, CITIC, University of Granada, 18071 Granada, Spain)

Abstract

The constant phase element (CPE) is found in most battery and supercapacitor equivalent circuit models proposed to interpret data in the frequency domain. When these models are used in the time domain, the initial conditions in the fractional differential equations must be correctly imposed. The initial state problem remains controversial and has been analyzed by various authors in the last two decades. This article attempts to clarify this problem by proposing a procedure to prepare the initial state and defining a decay function that reveals the effect of the initial state in several illustrative examples. This decay function depends on the previous history, which is reflected in the time needed to prepare the initial state and on the current profile assumed for this purpose. This effect of the initial state is difficult to separate and can lead to the misinterpretation of the CPE parameter values.

Suggested Citation

  • Juan Antonio López-Villanueva & Salvador Rodríguez Bolívar, 2022. "Constant Phase Element in the Time Domain: The Problem of Initialization," Energies, MDPI, vol. 15(3), pages 1-14, January.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:3:p:792-:d:730741
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/3/792/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/15/3/792/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:15:y:2022:i:3:p:792-:d:730741. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.