This $149,940 federal Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences will support research at Auburn University Montgomery (AUM) to develop a deeper understanding of the impact of "topological disturbances" on power grid networks. The research aims to rigorously analyze how changes to a power network's connectivity structure affect the full set of power flow solutions, leveraging the machinery of toric deformations and convex geometry. The project includes both theoretical and software development components, with the goal of advancing knowledge on this complex challenge in power systems engineering. This award aligns with the NSF's Mathematical and Physical Sciences (CFDA 47.049) program, which supports fundamental and applied research across mathematical and physical sciences disciplines. The project will run from May 1, 2024 through April 30, 2027.
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