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.
@article{arxiv.2309.10568,
title = {Hierarchical Graph Modeling for Multi-Scale Optimization of Power Systems},
author = {David L. Cole and Harsha Gangammanavar and Victor M. Zavala},
journal= {arXiv preprint arXiv:2309.10568},
year = {2023}
}