Protection Against Graph-Based False Data Injection Attacks on Power Systems

TL;DR

This paper introduces a novel graph-based false data injection attack on power systems and proposes a protection scheme that enhances detection, demonstrating effectiveness through simulations on standard test cases.

Contribution

It develops a new GFDI attack model minimizing graph total variation and proposes a minimal measurement protection scheme to improve detection capabilities.

Findings

GFDI attack can bypass existing detectors by minimizing graph TV.

Protection scheme reduces hardware costs while maintaining detection.

Simulations on IEEE test cases validate the approach's effectiveness.

Abstract

Graph signal processing (GSP) has emerged as a powerful tool for practical network applications, including power system monitoring. Recent research has focused on developing GSP-based methods for state estimation, attack detection, and topology identification using the representation of the power system voltages as smooth graph signals. Within this framework, efficient methods have been developed for detecting false data injection (FDI) attacks, which until now were perceived as non-smooth with respect to the graph Laplacian matrix. Consequently, these methods may not be effective against smooth FDI attacks. In this paper, we propose a graph FDI (GFDI) attack that minimizes the Laplacian-based graph total variation (TV) under practical constraints. We present the GFDI attack as the solution for a non-convex constrained optimization problem. The solution to the GFDI attack problem is obtained through approximating it using $\ell_1$ relaxation. A series of quadratic programming problems that are classified as convex optimization problems are solved to obtain the final solution. We then propose a protection scheme that identifies the minimal set of measurements necessary to constrain the GFDI output to a high graph TV, thereby enabling its detection by existing GSP-based detectors. Our numerical simulations on the IEEE-57 and IEEE-118 bus test cases reveal the potential threat posed by well-designed GSP-based FDI attacks. Moreover, we demonstrate that integrating the proposed protection design with GSP-based detection can lead to significant hardware cost savings compared to previous designs of protection methods against FDI attacks.