A Robustness Measure of Transient Stability under Operational Constraints in Power Systems

Liviu Aolaritei1, Dongchan Lee2, Thanh Long Vu3, Konstantin Turitsyn3

  • 1ETH Zurich
  • 2MIT
  • 3Massachusetts Institute of Technology



Regular Session


10:00 - 12:00 | Mon 17 Dec | Splash 15-16 | MoA22

Power Systems I

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The aggressive integration of distributed renewable sources is changing the dynamics of the electric power grid in an unexpected manner. As a result, maintaining conventional performance specifications, such as transient stability, may not be sufficient to ensure its reliable operation in stressed conditions. In this paper, we introduce a novel criteria in transient stability with consideration of operational constraints over frequency deviation and angular separation. In addition, we provide a robustness measure of the region of attraction, which can quantify the ability of the post-fault system to remain synchronized even under disturbances. To assess this new stability specification, we adopt the notion of Input-to-State Stability (ISS) to the context of power systems and introduce a new class of convex Lyapunov functions, which will result in tractable convex-optimization-based stability certificates. As a result, we are able to quantify the level of disturbance a power system can withstand while maintaining its safe operation. We illustrate the introduced stability specification and certificate on the IEEE 9 bus system.

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