publication . Preprint . 2017

System-Theoretic Performance Metrics for Low-Inertia Stability of Power Networks

Pirani, Mohammad; Simpson-Porco, John W.; Fidan, Baris;
Open Access English
  • Published: 07 Mar 2017
As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for quantifying grid stability and performance; however, no theoretical results are available comparing and contrasting these metrics. This paper presents a rigorous system-theoretic study of performance metrics for low-inertia stability. For networks with uniform parameters, we derive explicit expressions for the eigenvalue damping ratios, and for the $\mathcal{H}_{2}$ and $\mathcal{H}_{\infty}$ norms of the linearized swing dynami...
free text keywords: Mathematics - Optimization and Control
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  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)
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