4.7 Article

A Framework for Robust Assessment of Power Grid Stability and Resiliency

Journal

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 62, Issue 3, Pages 1165-1177

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2016.2579743

Keywords

Power grids; renewable integration; resilience; robust stability; transient stability

Funding

  1. National Science Foundation [1508666]
  2. MIT/Skoltech, Masdar initiatives
  3. Ministry of Education and Science of Russian Federation [14.615.21.0001, RFMEFI61514X0001]
  4. Div Of Electrical, Commun & Cyber Sys
  5. Directorate For Engineering [1508666] Funding Source: National Science Foundation

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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 contingenciesor 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.

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