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Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs

Author

Listed:
  • Subarto Kumar Ghosh

    (Department of Electrical & Electronic Engineering, Rajshahi University of Engineering & Technology, Rajshahi 6204, Bangladesh)

  • Tushar Kanti Roy

    (Department of Electronics & Telecommunication Engineering, Rajshahi University of Engineering & Technology, Rajshahi 6204, Bangladesh)

  • Md. Abu Hanif Pramanik

    (Department of Electrical & Computer Engineering, Rajshahi University of Engineering & Technology, Rajshahi 6204, Bangladesh)

  • Md. Apel Mahmud

    (School of Engineering, Deakin University, Geelong, VIC 3216, Australia)

Abstract

This paper proposes a composite nonlinear controller combining backstepping and double-integral sliding mode controllers for DC–DC boost converter (DDBC) feeding by constant power loads (CPLs) to improve the DC-bus voltage stability under large disturbances in DC distribution systems. In this regard, an exact feedback linearization approach is first used to transform the nonlinear dynamical model into a simplified linear system with canonical form so that it becomes suitable for designing the proposed controller. Another important feature of applying the exact feedback linearization approach in this work is to utilize its capability to cancel nonlinearities appearing due to the incremental negative-impedance of CPLs and the non-minimum phase problem related to the DDBC. Second, the proposed backstepping double integral-sliding mode controller (BDI-SMC) is employed on the feedback linearized system to determine the control law. Afterwards, the Lyapunov stability theory is used to analyze the closed-loop stability of the overall system. Finally, a simulation study is conducted under various operating conditions of the system to validate the theoretical analysis of the proposed controller. The simulation results are also compared with existing sliding mode controller (ESMC) and proportional-integral (PI) control schemes to demonstrate the superiority of the proposed BDI-SMC.

Suggested Citation

  • Subarto Kumar Ghosh & Tushar Kanti Roy & Md. Abu Hanif Pramanik & Md. Apel Mahmud, 2021. "Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs," Energies, MDPI, vol. 14(20), pages 1-16, October.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:20:p:6753-:d:658201
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    References listed on IDEAS

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    1. Tahsin Fahima Orchi & Md Apel Mahmud & Amanullah Maung Than Oo, 2018. "Generalized Dynamical Modeling of Multiple Photovoltaic Units in a Grid-Connected System for Analyzing Dynamic Interactions," Energies, MDPI, vol. 11(2), pages 1-12, January.
    2. Subarto Kumar Ghosh & Tushar Kanti Roy & Md Abu Hanif Pramanik & Ajay Krishno Sarkar & Md. Apel Mahmud, 2020. "An Energy Management System-Based Control Strategy for DC Microgrids with Dual Energy Storage Systems," Energies, MDPI, vol. 13(11), pages 1-16, June.
    3. Mohammed Kh. AL-Nussairi & Ramazan Bayindir & Sanjeevikumar Padmanaban & Lucian Mihet-Popa & Pierluigi Siano, 2017. "Constant Power Loads (CPL) with Microgrids: Problem Definition, Stability Analysis and Compensation Techniques," Energies, MDPI, vol. 10(10), pages 1-20, October.
    4. Abdelali El Aroudi & Blanca Areli Martínez-Treviño & Enric Vidal-Idiarte & Angel Cid-Pastor, 2019. "Fixed Switching Frequency Digital Sliding-Mode Control of DC-DC Power Supplies Loaded by Constant Power Loads with Inrush Current Limitation Capability," Energies, MDPI, vol. 12(6), pages 1-27, March.
    5. Mian Wang & Fen Tang & Xuezhi Wu & Jingkai Niu & Yajing Zhang & Jiuhe Wang, 2021. "A Nonlinear Control Strategy for DC-DC Converter with Unknown Constant Power Load Using Damping and Interconnection Injecting," Energies, MDPI, vol. 14(11), pages 1-24, May.
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    Cited by:

    1. Lu Liu & Yun Zeng, 2023. "Intelligent ISSA-Based Non-Singular Terminal Sliding-Mode Control of DC–DC Boost Converter Feeding a Constant Power Load System," Energies, MDPI, vol. 16(13), pages 1-23, June.

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