Papers › Optimization-Based Exploration of the Feasible Power Flow Space for Rapid Data Collection

Optimization-Based Exploration of the Feasible Power Flow Space for Rapid Data Collection

24 Jun 2022arXiv:2206.12214archive 2025-07-28

Ignasi Ventura Nadal, Samuel Chevalier

This paper provides a systematic investigation into the various nonlinear objective functions which can be used to explore the feasible space associated with the optimal power flow problem. A total of 40 nonlinear objective functions are tested, and their results are compared to the data generated by a novel exhaustive rejection sampling routine. The Hausdorff distance, which is a min-max set dissimilarity metric, is then used to assess how well each nonlinear objective function performed (i.e., how well the tested objective functions were able to explore the non-convex power flow space). Exhaustive test results were collected from five PGLib test-cases and systematically analyzed.

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