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20242026
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math.OC2025

Improving the Accuracy of DC Optimal Power Flow Formulations via Parameter Optimization

Babak Taheri, Daniel K. Molzahn

DC Optimal Power Flow (DC-OPF) problems optimize the generators' active power setpoints while satisfying constraints based on the DC power flow linearization. The computational tra…

math.OC2025

Efficient Network Reconfiguration by Randomized Switching

Samuel Talkington, Dmitrii M. Ostrovskii, Daniel K. Molzahn

We present an algorithm that efficiently computes nearly-optimal solutions to a class of combinatorial reconfiguration problems on weighted, undirected graphs. Inspired by societal…

math.OC2025

Equitably allocating wildfire resilience investments for power grids: The curse of aggregation and vulnerability indices

Madeleine Pollack, Ryan Piansky, Swati Gupta +1

Social vulnerability indices have increased traction for guiding infrastructure investment decisions to prioritize communities that need these investments most. One such plan is th…

math.OC2025

Discrete Shortest Paths in Optimal Power Flow Feasible Regions

Daniel Turizo, Diego Cifuentes, Anton Leykin +1

Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexit…

math.OC2025

Sample-Based Piecewise Linear Power Flow Approximations Using Second-Order Sensitivities

Paprapee Buason, Sidhant Misra, Daniel K. Molzahn

The inherent nonlinearity of the power flow equations poses significant challenges in accurately modeling power systems, particularly when employing linearized approximations. Alth…

math.OC2024

Adaptive Power Flow Approximations with Second-Order Sensitivity Insights

Paprapee Buason, Sidhant Misra, Jean-Paul Watson +1

The power flow equations are fundamental to power system planning, analysis, and control. However, the inherent non-linearity and non-convexity of these equations present formidabl…