A Framework for Robust Assessment of Power Grid Stability and Resiliency

作者：Thanh Long Vu^*; Turitsyn Konstantin

来源：IEEE Transactions on Automatic Control, 2017, 62(3): 1165-1177.

DOI：10.1109/TAC.2016.2579743

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

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.

• 出版日期2017-3