A Framework for Robust Assessment of Power Grid Stability and Resiliency

• Published in: IEEE transactions on automatic control Vol. 62; no. 3; pp. 1165 - 1177
• Main Authors: Thanh Long Vu, Turitsyn, Konstantin
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2017; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Certificates; Generators; Liapunov functions; Mathematical analysis; Numerical stability; Power grids; Power system dynamics; Power system stability; Power system transients; Real time; Reliability analysis; renewable integration; Resilience; robust stability; Robustness (mathematics); Stability analysis; Systems stability; Transient stability; Uncertainty
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2016.2579743

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.