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Unifying Electrical Engineering and Electronics Engineering pp 135–142Cite as

Delay-Dependent Small Signal Stability for Power System with Constant and Time-Varying Delays

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 238))

Abstract

Conventional small signal stability (SSS) model for power system is a kind of linear control system that uses Taylor’s formula at equilibrium point without considering time-delay influence. However, time delay, existing in transmission of data from the measurement location to a control center and communication of these data to control devices, would degrade SSS and even cause power system instability. This chapter investigates delay-dependent SSS by constructing a new SSS model for time-delay power system. A novel LMI-based SSS criterion is derived by adopting an improved Lyapunov–Krasovskii functional method. The upper bound of time delay, which ensures power system to maintain stability, is defined as the delay margin for SSS analysis. Case studies are carried out on synchronous-machine infinite-bus power system and multimachine power system. Satisfactory results demonstrate the influence of time delay on SSS and verify the correctness and effectiveness of the proposed model and its SSS criterion.

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References

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Acknowledgment

This work was supported by National Natural Science Foundation of China under Grant 51007042.

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Authors and Affiliations

  1. Department of Electrical Engineering, Tsinghua University, Beijing, 100084, China

    Bo Yang & Yuanzhang Sun

Authors
  1. Bo Yang
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  2. Yuanzhang Sun
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Corresponding author

Correspondence to Bo Yang .

Editor information

Editors and Affiliations

  1. Dept. Information Systems, California State University, Los Angeles College of Business & Economics, Los Angeles, California, USA

    Song Xing

  2. Electronics and Information Technology S, Nanjing University of Information and Sc, Nanjing, Jiangsu, China, People's Republic

    Suting Chen

  3. Sunnyvale, California, USA

    Zhanming Wei

  4. Electronics and Information Technology S, Nanjing University of Information and Sc, Nanjing, Jiangsu, China, People's Republic

    Jingming Xia

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© 2014 Springer Science+Business Media New York

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Yang, B., Sun, Y. (2014). Delay-Dependent Small Signal Stability for Power System with Constant and Time-Varying Delays. In: Xing, S., Chen, S., Wei, Z., Xia, J. (eds) Unifying Electrical Engineering and Electronics Engineering. Lecture Notes in Electrical Engineering, vol 238. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4981-2_15

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  • DOI: https://doi.org/10.1007/978-1-4614-4981-2_15

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-4980-5

  • Online ISBN: 978-1-4614-4981-2

  • eBook Packages: EngineeringEngineering (R0)

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