Hierarchical Graph Modeling for Multi-Scale Optimization of Power Systems

2023/09/19 by Cole, David L., Gangammanavar, Harsha, Zavala, Victor M.
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2309.10568

Abstract

Hierarchical optimization architectures are used in power systems to manage disturbances and phenomena that arise at multiple spatial and temporal scales. We present a graph modeling abstraction for representing such architectures and an implementation in the \tt Julia package \tt Plasmo.jl. We apply this framework to a tri-level hierarchical framework arising in wholesale market operations that involves day-ahead unit commitment, short-term unit commitment, and economic dispatch. We show that graph abstractions facilitate the construction, visualization, and solution of these complex problems.

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