Emerging topics: Submodularity in energy systems

Abstract

Increasing demand for electricity and reliance on unpredictable renewable energy sources will push power systems close to their stability limits in the coming decades, creating a need for efficient real-time control algorithms with provable guarantees. This chapter is devoted to emerging applications of submodularity to control of energy systems. Possible applications of submodularity are presented for three critical problems in power system stability, namely, voltage stability, small-signal stability, and transient stability. The focus of this chapter is on future research topics and open problems.