A Robustness Measure of Transient Stability Under Operational Constraints in Power Systems
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1803.02896v3.pdf
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Accepted version
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373.2 KB
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Author(s) • • •
Aolaritei, Liviu
Lee, Dongchan
Vu, Thanh Long
Turitsyn, Konstantin
Date Issued
October 2018
Journal
IEEE Control Systems Letters
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
L. Aolaritei, D. Lee, T. L. Vu and K. Turitsyn, "A Robustness Measure of Transient Stability Under Operational Constraints in Power Systems," in IEEE Control Systems Letters, vol. 2, no. 4, pp. 803-808, Oct. 2018.
Version
Author's final manuscript
Abstract
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 letter, 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 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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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DOI of Published Version
https://doi.org/10.1109/lcsys.2018.2848107