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

Research output: Contribution to journalJournal articleResearchpeer-review

11 Citations (Scopus)
199 Downloads (Pure)

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.
Original languageEnglish
Article number8408693
JournalI E E E Transactions on Industrial Electronics
Volume66
Issue number6
Pages (from-to)4805-4812
Number of pages8
ISSN0278-0046
DOIs
Publication statusPublished - Jun 2019

Fingerprint

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

Keywords

  • Constant power load
  • D-stability
  • dc microgrid
  • hardware-in-the-loop (HiL)
  • power buffer
  • real-time simulation
  • Takagi–Sugeno fuzzy modeling

Cite this

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. In: I E E E Transactions on Industrial Electronics. 2019 ; Vol. 66, No. 6. pp. 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",
author = "Mardani, {Mohammad Mehdi} and Navid Vafamand and Khooban, {Mohammad Hassan} and Tomislav Dragicevic and Frede Blaabjerg",
year = "2019",
month = "6",
doi = "10.1109/TIE.2018.2851971",
language = "English",
volume = "66",
pages = "4805--4812",
journal = "I E E E Transactions on Industrial Electronics",
issn = "0278-0046",
publisher = "IEEE",
number = "6",

}

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.

In: I E E E Transactions on Industrial Electronics, Vol. 66, No. 6, 8408693, 06.2019, p. 4805-4812.

Research output: Contribution to journalJournal articleResearchpeer-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

UR - http://www.scopus.com/inward/record.url?scp=85049692385&partnerID=8YFLogxK

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

M1 - 8408693

ER -