Papers › Hierarchical Graph Modeling for Multi-Scale Optimization of Power Systems

Hierarchical Graph Modeling for Multi-Scale Optimization of Power Systems

19 Sep 2023arXiv:2309.10568links table onlyarchive 2025-07-28

David L. Cole, Harsha Gangammanavar, Victor M. Zavala

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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 Julia package 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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