A Framework for Robust Assessment of Power Grid Stability and Resiliency

TL;DR

This paper presents a new framework for efficiently assessing power grid stability and resiliency, providing rigorous certificates that account for uncertainties and faults, enabling offline screening and real-time evaluation.

Contribution

It introduces a robust assessment toolbox with novel stability and resiliency problems, utilizing quadratic Lyapunov functions for real-time certification.

Findings

Effective in IEEE test cases

Reduces computational costs

Provides rigorous stability certificates

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 "off-line" 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.