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On the Exact Analytical Formulas of Leakage Current-Based Supercapacitor Model Operating in Industrial Applications

Author

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  • Ziad M. Ali

    (Electrical Engineering Department, College of Engineering, Prince Sattam bin Abdulaziz University, Wadi Addawaser 11991, Saudi Arabia
    Electrical Engineering Department, Aswan Faculty of Engineering, Aswan University, Aswan 81542, Egypt)

  • Martin Calasan

    (Faculty of Electrical Engineering, University of Montenegro, 81000 Podgorica, Montenegro)

  • Shady H. E. Abdel Aleem

    (Department of Electrical Engineering, Valley High Institute of Engineering and Technology, Science Valley Academy, Qalyubia 44971, Egypt)

  • Hany M. Hasanien

    (Electrical Power and Machines Department, Faculty of Engineering, Ain Shams University, Cairo 11517, Egypt)

Abstract

The resistance–capacitance (RC) model is one of the most applicable circuits for modeling the charging and discharging processes of supercapacitors (SCs). Although this circuit is usually used in the electric and thermal investigation of the performance of SCs, it does not include leakage currents. This paper presents exact analytical formulas of leakage-current-based supercapacitor models that can be used in industrial applications, i.e., constant-power-based applications. In the proposed model, current and voltage are represented as a solution of nonlinear equations that are solved using the standard Newton method. The proposed expressions’ accuracy is compared with the results obtained using traditional numerical integration methods with leakage current formulation and other methods, found in the literature, with no leakage current formulation. The results confirm that including leakage current represents a more accurate and realistic manner of modeling SCs. The results show that the derived expressions are precise, allowing the generation of results that closely match those obtained using traditional numerical-based methods. The derived expressions can be used to investigate SCs further and achieve more accurate and efficient regulation and control of SCs in different applications.

Suggested Citation

  • Ziad M. Ali & Martin Calasan & Shady H. E. Abdel Aleem & Hany M. Hasanien, 2023. "On the Exact Analytical Formulas of Leakage Current-Based Supercapacitor Model Operating in Industrial Applications," Energies, MDPI, vol. 16(4), pages 1-22, February.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:4:p:1903-:d:1068505
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    References listed on IDEAS

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    1. Yibo Deng & Chushan Li & Yan Deng & Ting Chen & Shaoyu Feng & Yujie Chu & Chengmin Li, 2023. "Energy Efficiency Optimization of Collaborative Power Supply System with Supercapacitor Storages," Energies, MDPI, vol. 16(3), pages 1-15, January.
    2. Mahdy, Ahmed & Hasanien, Hany M. & Turky, Rania A. & Abdel Aleem, Shady H.E., 2023. "Modeling and optimal operation of hybrid wave energy and PV system feeding supercharging stations based on golden jackal optimal control strategy," Energy, Elsevier, vol. 263(PD).
    3. Pedrayes, Joaquín F. & Melero, Manuel G. & Norniella, Joaquín G. & Cano, José M. & Cabanas, Manés F. & Orcajo, Gonzalo A. & Rojas, Carlos H., 2019. "A novel analytical solution for the calculation of temperature in supercapacitors operating at constant power," Energy, Elsevier, vol. 188(C).
    4. Ćalasan, Martin & Abdel Aleem, Shady H.E. & Hasanien, Hany M. & Alaas, Zuhair M. & Ali, Ziad M., 2023. "An innovative approach for mathematical modeling and parameter estimation of PEM fuel cells based on iterative Lambert W function," Energy, Elsevier, vol. 264(C).
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    Cited by:

    1. Ziad M. Ali & Martin Calasan & Shady H. E. Abdel Aleem & Francisco Jurado & Foad H. Gandoman, 2023. "Applications of Energy Storage Systems in Enhancing Energy Management and Access in Microgrids: A Review," Energies, MDPI, vol. 16(16), pages 1-41, August.

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