IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v319y2018icp287-300.html
   My bibliography  Save this article

Analysis of the transient state in a parallel circuit of the class RLβCα

Author

Listed:
  • Jakubowska-Ciszek, A.
  • Walczak, J.

Abstract

The paper presents the results of the conducted analysis of transient states in a parallel circuit of the class RLβCα, supplied by an ideal current source. The considered circuit consists of a real coil Lβ and a (super)capacitor Cα, modeled as fractional-order elements. The paper proposes a method for determining the current and voltage waveforms, which uses the decomposition of rational functions into partial fractions and inverse Laplace method. By using this method, transient waveforms occurring in the system for any kind of current excitation can be determined. Two cases of the problem solutions have been considered in the paper, for real and complex poles of the rational functions, which result from the analysis of the main fractional-order differential equation, describing the considered circuit. Analytical relations describing transient state waveforms in the system have been determined for different types of current excitations: constant, monoharmonic, polyharmonic and arbitrary being an element of a Hilbert space. The obtained results have been illustrated by an examplary case of a parallel circuit of the class RLβCα. The paper is a continuation of previous studies concerning transient-state analysis in circuits with elements modeled as fractional-order (Jakubowska and Walczak 2015, 2016).

Suggested Citation

  • Jakubowska-Ciszek, A. & Walczak, J., 2018. "Analysis of the transient state in a parallel circuit of the class RLβCα," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 287-300.
    • Handle: RePEc:eee:apmaco:v:319:y:2018:i:c:p:287-300
    DOI: 10.1016/j.amc.2017.03.028
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300317302102
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2017.03.028?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Fouda, M.E. & Elwakil, A.S. & Radwan, A.G. & Allagui, A., 2016. "Power and energy analysis of fractional-order electrical energy storage devices," Energy, Elsevier, vol. 111(C), pages 785-792.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhu, Zhen & Lu, Jun-Guo, 2021. "Robust stability and stabilization of hybrid fractional-order multi-dimensional systems with interval uncertainties: An LMI approach," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    2. Jacek Gulgowski & Tomasz P. Stefański & Damian Trofimowicz, 2020. "On Applications of Elements Modelled by Fractional Derivatives in Circuit Theory," Energies, MDPI, vol. 13(21), pages 1-17, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sajid, Mohammad & Raza, Zahid, 2017. "Energy-aware stochastic scheduler for batch of precedence-constrained jobs on heterogeneous computing system," Energy, Elsevier, vol. 125(C), pages 258-274.
    2. Capasso, Clemente & Lauria, Davide & Veneri, Ottorino, 2018. "Experimental evaluation of model-based control strategies of sodium-nickel chloride battery plus supercapacitor hybrid storage systems for urban electric vehicles," Applied Energy, Elsevier, vol. 228(C), pages 2478-2489.
    3. Jorge Leon-Quiroga & Brittany Newell & Mahesh Krishnamurthy & Andres Gonzalez-Mancera & Jose Garcia-Bravo, 2020. "Energy Efficiency Comparison of Hydraulic Accumulators and Ultracapacitors," Energies, MDPI, vol. 13(7), pages 1-23, April.
    4. Xu, Ying & Ren, Li & Zhang, Zhongping & Tang, Yuejin & Shi, Jing & Xu, Chen & Li, Jingdong & Pu, Dongsheng & Wang, Zhuang & Liu, Huajun & Chen, Lei, 2018. "Analysis of the loss and thermal characteristics of a SMES (Superconducting Magnetic Energy Storage) magnet with three practical operating conditions," Energy, Elsevier, vol. 143(C), pages 372-384.
    5. Hernández-Balaguera, Enrique, 2023. "Fractional model of the chemical inductor," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    6. Francisco G. Montoya & Raul Baños & Alfredo Alcayde & Maria G. Montoya & Francisco Manzano-Agugliaro, 2018. "Power Quality: Scientific Collaboration Networks and Research Trends," Energies, MDPI, vol. 11(8), pages 1-16, August.
    7. Allagui, Anis & Benaoum, Hachemi & Olendski, Oleg, 2021. "On the Gouy–Chapman–Stern model of the electrical double-layer structure with a generalized Boltzmann factor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).

    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:eee:apmaco:v:319:y:2018:i:c:p:287-300. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.