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arXiv · 1811.08722

Maximal Positive Invariant Set Determination for Transient Stability Assessment in Power Systems

Antoine Oustry·Carmen Cardozo·Patrick Panciatici·Didier Henrion
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Abstract

This paper assesses the transient stability of a synchronous machine connected to an infinite bus through the notion of invariant sets. The problem of computing a conservative approximation of the maximal positive invariant set is formulated as a semi-definitive program based on occupation measures and Lasserre's relaxation. An extension of the proposed method into a robust formulation allows us to handle Taylor approximation errors for non-polynomial systems. Results show the potential of this approach to limit the use of extensive time domain simulations provided that scalability issues are addressed.

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Antoine Oustry, Carmen Cardozo, Patrick Panciatici, Didier Henrion. 2018-11-21. Maximal Positive Invariant Set Determination for Transient Stability Assessment in Power Systems. https://arxiv.org/abs/1811.08722

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