Stability of power grids: An overview

Abstract

Transient stability and steady-state (small signal) stability in power girds are reviewed. Transient stability concepts are illustrated with simple examples; in particular, we consider three methods for computing region of attraction: time-simulations, extended Lyapunov function, and sum of squares optimization method. We discuss steady state stability in power systems, and present an example of a feedback control via a communication network for the 10 Unit 39 Bus New England Test system.

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Correspondence to Andrej Gajduk or Mirko Todorovski or Ljupco Kocarev.

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Gajduk, A., Todorovski, M. & Kocarev, L. Stability of power grids: An overview. Eur. Phys. J. Spec. Top. 223, 2387–2409 (2014). https://doi.org/10.1140/epjst/e2014-02212-1

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Keywords

  • Power System
  • Lyapunov Function
  • European Physical Journal Special Topic
  • Stable Equilibrium Point
  • Transient Stability