Design of Quadratic D-stable Fuzzy Controller for DC Microgrids with Multiple CPLs

Mohammad Mehdi Mardani, Navid Vafamand, Mohammad Hassan Khooban, Tomislav Dragicevic, Frede Blaabjerg

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6 Citationer (Scopus)
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Resumé

The dc microgrid (MG) system has several advantages over the ac one. Therefore, it recently became a preferred architecture in numerous industrial applications. Many loads in dc MGs are electronically regulated and they challenge the stability of the system due to their constant power load (CPL) behavior. This letter proposes a systematic and simple approach to design an improved state feedback controller for the power buffer that can stabilize the dc MGs with multiple CPLs. Based on the so-called sector nonlinearity approach, the nonlinear dc MG with several CPLs is exactly represented in a Takagi–Sugeno fuzzy model. Then, by employing the quadratic D-stability theory, the sufficient conditions to guarantee the stability and transient performance of the closed-loop system are obtained in terms of linear matrix inequalities (LMIs), such that the decay rate and oscillatory behavior of the closed-loop dc MG system are guaranteed to lie inside a predefined region. The LMI conditions can be numerically solved by utilizing the YALMIP toolbox in the MATLAB. Finally, to illustrate the merits and implementation validity of the proposed approach, some hardware-in-the-loop real-time simulation (RTS) results on a dc MG, which feeds two CPLs, are presented. In comparison with the state-of-the-art techniques, the RTS results indicate the simplicity, validity, and better performance of the proposed approach. According to the results, one can conclude that the proposed approach not only theoretically assures the stability but also guarantees the fast convergence and less oscillatory response of the dc MGs with multiple CPLs.
OriginalsprogEngelsk
Artikelnummer8408693
TidsskriftI E E E Transactions on Industrial Electronics
Vol/bind66
Udgave nummer6
Sider (fra-til)4805-4812
Antal sider8
ISSN0278-0046
DOI
StatusUdgivet - jun. 2019

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Controllers
Linear matrix inequalities
State feedback
Closed loop systems
MATLAB
Industrial applications
Hardware

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    Mardani, Mohammad Mehdi ; Vafamand, Navid ; Khooban, Mohammad Hassan ; Dragicevic, Tomislav ; Blaabjerg, Frede. / Design of Quadratic D-stable Fuzzy Controller for DC Microgrids with Multiple CPLs. I: I E E E Transactions on Industrial Electronics. 2019 ; Bind 66, Nr. 6. s. 4805-4812.
    @article{5ab364031f344190a2db2195a895c4f1,
    title = "Design of Quadratic D-stable Fuzzy Controller for DC Microgrids with Multiple CPLs",
    abstract = "The dc microgrid (MG) system has several advantages over the ac one. Therefore, it recently became a preferred architecture in numerous industrial applications. Many loads in dc MGs are electronically regulated and they challenge the stability of the system due to their constant power load (CPL) behavior. This letter proposes a systematic and simple approach to design an improved state feedback controller for the power buffer that can stabilize the dc MGs with multiple CPLs. Based on the so-called sector nonlinearity approach, the nonlinear dc MG with several CPLs is exactly represented in a Takagi–Sugeno fuzzy model. Then, by employing the quadratic D-stability theory, the sufficient conditions to guarantee the stability and transient performance of the closed-loop system are obtained in terms of linear matrix inequalities (LMIs), such that the decay rate and oscillatory behavior of the closed-loop dc MG system are guaranteed to lie inside a predefined region. The LMI conditions can be numerically solved by utilizing the YALMIP toolbox in the MATLAB. Finally, to illustrate the merits and implementation validity of the proposed approach, some hardware-in-the-loop real-time simulation (RTS) results on a dc MG, which feeds two CPLs, are presented. In comparison with the state-of-the-art techniques, the RTS results indicate the simplicity, validity, and better performance of the proposed approach. According to the results, one can conclude that the proposed approach not only theoretically assures the stability but also guarantees the fast convergence and less oscillatory response of the dc MGs with multiple CPLs.",
    keywords = "Constant power load, D-stability, dc microgrid, hardware-in-the-loop (HiL), power buffer, real-time simulation, Takagi–Sugeno fuzzy modeling",
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    Design of Quadratic D-stable Fuzzy Controller for DC Microgrids with Multiple CPLs. / Mardani, Mohammad Mehdi; Vafamand, Navid; Khooban, Mohammad Hassan; Dragicevic, Tomislav; Blaabjerg, Frede.

    I: I E E E Transactions on Industrial Electronics, Bind 66, Nr. 6, 8408693, 06.2019, s. 4805-4812.

    Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

    TY - JOUR

    T1 - Design of Quadratic D-stable Fuzzy Controller for DC Microgrids with Multiple CPLs

    AU - Mardani, Mohammad Mehdi

    AU - Vafamand, Navid

    AU - Khooban, Mohammad Hassan

    AU - Dragicevic, Tomislav

    AU - Blaabjerg, Frede

    PY - 2019/6

    Y1 - 2019/6

    N2 - The dc microgrid (MG) system has several advantages over the ac one. Therefore, it recently became a preferred architecture in numerous industrial applications. Many loads in dc MGs are electronically regulated and they challenge the stability of the system due to their constant power load (CPL) behavior. This letter proposes a systematic and simple approach to design an improved state feedback controller for the power buffer that can stabilize the dc MGs with multiple CPLs. Based on the so-called sector nonlinearity approach, the nonlinear dc MG with several CPLs is exactly represented in a Takagi–Sugeno fuzzy model. Then, by employing the quadratic D-stability theory, the sufficient conditions to guarantee the stability and transient performance of the closed-loop system are obtained in terms of linear matrix inequalities (LMIs), such that the decay rate and oscillatory behavior of the closed-loop dc MG system are guaranteed to lie inside a predefined region. The LMI conditions can be numerically solved by utilizing the YALMIP toolbox in the MATLAB. Finally, to illustrate the merits and implementation validity of the proposed approach, some hardware-in-the-loop real-time simulation (RTS) results on a dc MG, which feeds two CPLs, are presented. In comparison with the state-of-the-art techniques, the RTS results indicate the simplicity, validity, and better performance of the proposed approach. According to the results, one can conclude that the proposed approach not only theoretically assures the stability but also guarantees the fast convergence and less oscillatory response of the dc MGs with multiple CPLs.

    AB - The dc microgrid (MG) system has several advantages over the ac one. Therefore, it recently became a preferred architecture in numerous industrial applications. Many loads in dc MGs are electronically regulated and they challenge the stability of the system due to their constant power load (CPL) behavior. This letter proposes a systematic and simple approach to design an improved state feedback controller for the power buffer that can stabilize the dc MGs with multiple CPLs. Based on the so-called sector nonlinearity approach, the nonlinear dc MG with several CPLs is exactly represented in a Takagi–Sugeno fuzzy model. Then, by employing the quadratic D-stability theory, the sufficient conditions to guarantee the stability and transient performance of the closed-loop system are obtained in terms of linear matrix inequalities (LMIs), such that the decay rate and oscillatory behavior of the closed-loop dc MG system are guaranteed to lie inside a predefined region. The LMI conditions can be numerically solved by utilizing the YALMIP toolbox in the MATLAB. Finally, to illustrate the merits and implementation validity of the proposed approach, some hardware-in-the-loop real-time simulation (RTS) results on a dc MG, which feeds two CPLs, are presented. In comparison with the state-of-the-art techniques, the RTS results indicate the simplicity, validity, and better performance of the proposed approach. According to the results, one can conclude that the proposed approach not only theoretically assures the stability but also guarantees the fast convergence and less oscillatory response of the dc MGs with multiple CPLs.

    KW - Constant power load

    KW - D-stability

    KW - dc microgrid

    KW - hardware-in-the-loop (HiL)

    KW - power buffer

    KW - real-time simulation

    KW - Takagi–Sugeno fuzzy modeling

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    U2 - 10.1109/TIE.2018.2851971

    DO - 10.1109/TIE.2018.2851971

    M3 - Journal article

    VL - 66

    SP - 4805

    EP - 4812

    JO - I E E E Transactions on Industrial Electronics

    JF - I E E E Transactions on Industrial Electronics

    SN - 0278-0046

    IS - 6

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