3 papers
math.OC2025
Graph-Based Modeling and Decomposition of Hierarchical Optimization Problems
David L. Cole, Filippo Pecci, Omar J. Guerra +3
We present a graph-theoretic modeling approach for hierarchical optimization that leverages the OptiGraph abstraction implemented in the Julia package Plasmo.jl. We show that the a…
math.OC2024
Locational Marginal Prices Obey DC Circuit Laws
Kyri Baker, Harsha Gangammanavar
Electricity markets often utilize the DC approximation of the AC power flow equations to facilitate solving an otherwise complex nonconvex optimization problem. These DC power flow…
math.OC2023
Hierarchical Graph Modeling for Multi-Scale Optimization of Power Systems
David L. Cole, Harsha Gangammanavar, Victor M. Zavala
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 modeli…