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Lyapunov Methods in Power System Stability

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Encyclopedia of Systems and Control

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Abstract

Energy functions, an extension of the Lyapunov functions, have been practically used in electric power systems for several applications. A comprehensive energy function theory for general nonlinear autonomous dynamical systems, along with its applications to electric power systems, will be summarized in this entry. Several schemes for constructing numerical energy functions for power system transient stability models expressed as a set of general differential-algebraic equations are presented. A practical application of energy functions for direct stability assessment of power system transient stability is also presented.

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Bibliography

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Author information

Authors and Affiliations

  1. School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA

    Hsiao-Dong Chiang

Authors
  1. Hsiao-Dong Chiang
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Correspondence to Hsiao-Dong Chiang .

Editor information

Editors and Affiliations

  1. Electrical and Computer Engineering, Boston University, Boston, MA, USA

    John Baillieul

  2. Automation and Control Solutions, Honeywell, Golden Valley, MN, USA

    Tariq Samad

Section Editor information

  1. Electrical & Computer Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA

    Joe Chow

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Chiang, HD. (2020). Lyapunov Methods in Power System Stability. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_266-2

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_266-2

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5102-9

  • Online ISBN: 978-1-4471-5102-9

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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Chapter history

  1. Latest

    Lyapunov Methods in Power System Stability
    Published:
    29 January 2020

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_266-2

  2. Original

    Lyapunov Methods in Power System Stability
    Published:
    18 March 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_266-1

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