A Framework for Robust Assessment of Power Grid Stability and Resiliency
Name
1504.04684v3.pdf
Description
Accepted version
Size
1004.58 KB
Format
Adobe PDF
Checksum (MD5)
55cd3df4040e5b0ecdaa3df572f66d8d
Author(s)
Vu, Thanh Long
Turitsyn, Konstantin
Date Issued
March 2017
Journal
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers
Citation
Thanh Long, Vu, and Konstantin Turitsyn. "A Framework for Robust Assessment of Power Grid Stability and Resiliency." Ieee Transactions on Automatic Control 62 3 (2017): 1165-77.
Version
Author's final manuscript
Abstract
Security assessment of large-scale, strongly nonlinear power grids containing thousands to millions of interacting components is a computationally expensive task. Targeting at reducing the computational cost, this paper introduces a framework for constructing a robust assessment toolbox that can provide mathematically rigorous certificates for the grids' stability in the presence of variations in power injections, and for the grids' ability to withstand a bunch sources of faults. By this toolbox we can 'offline' screen a wide range of contingencies or power injection profiles, without reassessing the system stability on a regular basis. In particular, we formulate and solve two novel robust stability and resiliency assessment problems of power grids subject to the uncertainty in equilibrium points and uncertainty in fault-on dynamics. Furthermore, we bring in the quadratic Lyapunov functions approach to transient stability assessment, offering real-time construction of stability/resiliency certificates and real-time stability assessment. The effectiveness of the proposed techniques is numerically illustrated on a number of IEEE test cases.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-ShareAlike
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DOI of Published Version
https://doi.org/10.1109/tac.2016.2579743
