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

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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.

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Authors and Affiliations

  1. AnHui Province Key Laboratory of Special Heavy Load Robot, Ma’anshan, China

    Shiyu Jiao & Hao Shen

  2. School of Electrical Engineering and Information, Anhui University of Technology, Anhui, 243032, China

    Shiyu Jiao, Jing Wang & Hao Shen

  3. College of Mathematic Science, Liaocheng university, Liaocheng, 252000, China

    Jianwei Xia

  4. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Zhen Wang

  5. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, China

    Jing Wang

  6. School of Automation and Electrical Engineering, Linyi University, Linyi, 276005, China

    Xiangyong Chen

Authors
  1. Shiyu Jiao
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  2. Jianwei Xia
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  3. Zhen Wang
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  4. Xiangyong Chen
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  5. Jing Wang
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  6. Hao Shen
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Corresponding authors

Correspondence to Zhen Wang or Xiangyong Chen.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Le Van Hien under the direction of Editor Young IL Lee. This work was supported by the National Natural Science Foundationof China (Nos. 61573008, 61973199) and Shandong University of Science and Technology Research Fund (2018 TDJH101).

Shiyu Jiao received her M.S. degree in control theory and control engineering from Anhui University of Technology, Ma’anshan, China, in 2020. She is currently pursuing a Ph.D. degree in control science and engineering with the School of Automation, Nanjing University of Science and Technology, Nanjing, China. Her current research interests include Markov jump systems, power systems, and sampled-data control.

Jianwei Xia received his Ph.D. degree in automatic control from Nanjing University of Science and Technology in 2007. From 2010 to 2012, he worked as a Postdoctoral Research Associate in the School of Automation, Southeast University, Nanjing, China. From 2013 to 2014, he worked as a Postdoctoral Research Associate in the Department of Electrical Engineering, Yeungnam University, Kyongsan, Korea. His research topics are robust control, stochastic systems and neural networks, etc.

Zhen Wang received his Ph.D. degree in the School of Automation, Nanjing University of Science and Technology, Nanjing, China in 2014. Since 2004, he has been with Shandong University of Science and Technology, Qingdao 266590, China, where he is currently a Professor and a Doctoral Supervisor. His current research interests include nonlinear control, neural networks, fractional order systems and multi-agent systems.

Xiangyong Chen received his Ph.D. degree in control theory and control engineering from the Northeastern University, China, in 2008 and 2012, respectively. He is an Associate Professor of College of Automation and Electrical Engineering at the Linyi University. From July 2014 to April, 2019, he was a Post-doctoral student in the Department of Mathematics, Southeast University, China. From April 1, 2016 to December 31, 2017, he was a Visiting Scholar in the Department of Electrical Engineering at the Yeungnam University, Korea. His current research interests include complex dynamic system and complex networks, synchronization control of chaotic systems.

Jing Wang received her Ph.D. degree in electric power system and automation from Hohai University in 2019. Since 2011, she has been with Anhui University of Technology, China, where she is currently an Associate Professor. Her current research interests include nonlinear control, complex networks, power systems.

Hao Shen received his Ph.D. degree in control theory and control engineering from Nanjing University of Science and Technology, Nanjing, China, in 2011. From February 2013 to March 2014, he was a Post-Doctoral Fellow with the Department of Electrical Engineering, Yeungnam University, Korea. Since 2011, he has been with Anhui University of Technology, China, where he is currently a Professor and a Doctoral Supervisor. His current research interests include stochastic hybrid systems, complex networks, fuzzy systems and control, nonlinear control. Prof. Shen was a recipient of the Highly Cited Researcher Award by Clarivate Analytics (formerly, Thomson Reuters) in 2019.

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Jiao, S., Xia, J., Wang, Z. et al. An Improved Result on Stability Analysis of Delayed Load Frequency Control Power Systems. Int. J. Control Autom. Syst. 19, 1633–1639 (2021). https://doi.org/10.1007/s12555-019-1063-8

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  • DOI: https://doi.org/10.1007/s12555-019-1063-8

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