An Improved Result on Stability Analysis of Delayed Load Frequency Control Power Systems

This paper investigates the stability of power systems with load frequency control considering time delays (constant and time-varying delays). A new criterion for ensuring the stability of the system is proposed on the basis of Lyapunov stability theory and a further strengthened inequality. Finally...

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Published inInternational journal of control, automation, and systems Vol. 19; no. 4; pp. 1633 - 1639
Main Authors Jiao, Shiyu, Xia, Jianwei, Wang, Zhen, Chen, Xiangyong, Wang, Jing, Shen, Hao
Format Journal Article
LanguageEnglish
Published Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.04.2021
Springer Nature B.V
제어·로봇·시스템학회
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ISSN1598-6446
2005-4092
DOI10.1007/s12555-019-1063-8

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Abstract This paper investigates the stability of power systems with load frequency control considering time delays (constant and time-varying delays). A new criterion for ensuring the stability of the system is proposed on the basis of Lyapunov stability theory and a further strengthened inequality. Finally, taking a single-area load frequency control scheme with the proportional-integral controller as an example, according to the stability criterion obtained, the relationship between the maximum allowable delay and the gain of proportional-integral controller is discussed. Besides, in case studies, the effectiveness of our method is also demonstrated.
AbstractList This paper investigates the stability of power systems with load frequency control considering time delays (constant and time-varying delays). A new criterion for ensuring the stability of the system is proposed on the basis of Lyapunov stability theory and a further strengthened inequality. Finally, taking a single-area load frequency control scheme with the proportional-integral controller as an example, according to the stability criterion obtained, the relationship between the maximum allowable delay and the gain of proportional-integral controller is discussed. Besides, in case studies, the effectiveness of our method is also demonstrated.
This paper investigates the stability of power systems with load frequency control considering time delays(constant and time-varying delays). A new criterion for ensuring the stability of the system is proposed on the basisof Lyapunov stability theory and a further strengthened inequality. Finally, taking a single-area load frequencycontrol scheme with the proportional-integral controller as an example, according to the stability criterion obtained,the relationship between the maximum allowable delay and the gain of proportional-integral controller is discussed. Besides, in case studies, the effectiveness of our method is also demonstrated. KCI Citation Count: 21
Author Jiao, Shiyu
Xia, Jianwei
Shen, Hao
Wang, Jing
Wang, Zhen
Chen, Xiangyong
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  givenname: Jianwei
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  surname: Wang
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  organization: College of Electrical Engineering and Automation, Shandong University of Science and Technology
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  givenname: Xiangyong
  surname: Chen
  fullname: Chen, Xiangyong
  email: cxy8305@163.com
  organization: School of Automation and Electrical Engineering, Linyi University
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  givenname: Jing
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  organization: School of Electrical Engineering and Information, Anhui University of Technology, School of Information Science and Engineering, Chengdu University
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  givenname: Hao
  surname: Shen
  fullname: Shen, Hao
  organization: AnHui Province Key Laboratory of Special Heavy Load Robot, School of Electrical Engineering and Information, Anhui University of Technology
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Keywords Load frequency control
power systems
time delays
proportional-integral controller
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References_xml – reference: HienL VTrinhHRefined Jensen-based inequality approach to stability analysis of time-delay systemsIET Control Theory & Appl.201591421882194341079910.1049/iet-cta.2014.0962
– reference: PhamT NNahavandiSHienL VTrinhHWongK PStatic output feedback frequency stabilization of time-delay power systems with coordinated electric vehicles state of charge controlIEEE Trans. Power Syst.20173253862387410.1109/TPWRS.2016.2633540Sep.
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– reference: PhamT NTrinhHHienL VLoad frequency control of power systems with electric vehicles and diverse transmission links using distributed functional observersIEEE Trans. Smart Grid20157123825210.1109/TSG.2015.2449877Jan.
– reference: WangSMengXChenTWide-area control of power systems through delayed network communicationIEEE Trans. Control Syst. Technol.201120249550310.1109/TCST.2011.2116022Mar.
– reference: F. Yang, J. He, and J. Wang, “Novel stability analysis of delayed LFC power systems by infinite-series-based integral inequality,” Proc. of IEEE Conference on Control Technology and Applications (CCTA), pp. 1384–1389, Aug. 2017.
– reference: ShenHChenMWuZ-GCaoJParkJ HReliable event-triggered asynchronous passive control for semi-Markov jump fuzzy systems and its applicationIEEE Trans. Fuzzy Syst.20202881708172210.1109/TFUZZ.2019.2923948Aug.
– reference: HienL VTrinhHExponential stability of time-delay systems via new weighted integral inequalitiesAppl. Math. Comput.2016275335344343771310.1016/j.amc.2015.11.076
– reference: T. N. Pham, L. V. Hien, H. Trinh, and K. Wong, “An improved stability criterion for time-delay power systems with electric vehicles and high voltage direct current power links,” Proc. of 10th International Conference on Advances in Power System Control, Operation & Management (APSCOM), 2015.
– reference: SaxenaSHoteY VPI controller based load frequency control approach for single-area power system having communication delayIFAC-PapersOnLine201851462262610.1016/j.ifacol.2018.06.165
– reference: ShenHWangTCaoJLuGSongYHuangTNon-fragile dissipative synchronization for Markovian memristive neural networks: A Gain-scheduled control schemeIEEE Trans. Neural Netw. Learn. Syst.201930618411853395773610.1109/TNNLS.2018.2874035Jun.
– reference: CelikVÖzdemirM TLeeK YEffects of fractional-order PI controller on delay margin in single-area delayed load frequency control systemsJ. Modern Power Syst. Clean Energy20197238038910.1007/s40565-018-0458-5
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Snippet This paper investigates the stability of power systems with load frequency control considering time delays (constant and time-varying delays). A new criterion...
This paper investigates the stability of power systems with load frequency control considering time delays(constant and time-varying delays). A new criterion...
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SubjectTerms Control
Control stability
Control systems
Controllers
Engineering
Frequency control
Mechatronics
Proportional integral
Robotics
Stability analysis
Stability criteria
Time varying control
제어계측공학
Title An Improved Result on Stability Analysis of Delayed Load Frequency Control Power Systems
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