Compressive sensing for smart-grid security and reliability

Abstract

This chapter aims to introduce the applications of a newly born theorem in signal processing and system identification, widely known as compressive sensing-sparse recovery (CS-SR), in smart power grid monitoring, security, and reliability. We will discuss how the sparse nature of the electrical power networks can be exploited to mathematical model and reformulate some of the most famous monitoring and security problems in power engineering as compressive system identification (CSI) problems. First, a short background on CS-SR theorems and techniques is presented. Next, the state-of-the-art in CS-SR applications in smart grid technology will be discussed, and finally, three distinctive monitoring problems are specifically addressed in detail, within comprehensive mathematical descriptions, and their specific features are explored through variety of case studies.