Structurally Constrained l1-Sparse Control of Power Systems: Online Design and Resiliency Analysis

Abstract

This paper presents a sparse Linear Quadratic Regulator (LQR) design for damping oscillations in wide-area power system networks. We first show how depending on the severity and location of a fault different sets of generators can have different contributions to the inter-area oscillation modes. This information is used to construct the communication topology for feedback control. An additional layer of sparsity is imposed on top of this communication structure by posing an l(1)-sparsification of the generator states that are transmitted through each communication link. An algorithm is provided where the designed sparse controller is also used to enhance the resiliency of the closed-loop system against denial-of-service (DoS) attacks. Results are validated using simulations on the IEEE 39-bus New England power system model.