mlsanityData to 7 Oct 2026

Beyond the Neural Fog: Interpretable Learning for AC Optimal Power Flow

arXiv 2408.05228 ↗First posted 30 Jul 2024eess.SY cs.LG cs.SYcited by 1

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Abstract (arXiv)

The AC optimal power flow (AC-OPF) problem is essential for power system operations, but its non-convex nature makes it challenging to solve. A widely used simplification is the linearized DC optimal power flow (DC-OPF) problem, which can be solved to global optimality, but whose optimal solution is always infeasible in the original AC-OPF problem. Recently, neural networks (NN) have been introduced for solving the AC-OPF problem at significantly faster computation times. However, these methods necessitate extensive datasets, are difficult to train, and are often viewed as black boxes, leading to resistance from operators who prefer more transparent and interpretable solutions. In this paper, we introduce a novel learning-based approach that merges simplicity and interpretability, providing a bridge between traditional approximation methods and black-box learning techniques. Our approach not only provides transparency for operators but also achieves competitive accuracy. Numerical results across various power networks demonstrate that our method provides accuracy comparable to, and often surpassing, that of neural networks, particularly when training datasets are limited.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 12 of its 28 references that are in the map. First posted on arXiv 30 Jul 2024.

Builds on

12 of 28 references.

References · 12

  1. 2019Learning Optimal Solutions for Extremely Fast AC Optimal Power Flowcited by 76
  2. 2019DeepOPF: A Deep Neural Network Approach for Security-Constrained DC Optimal Power Flowcited by 50
  3. 2021Learning to Solve the AC-OPF using Sensitivity-Informed Deep Neural Networkscited by 26
  4. 2014Convex Relaxation of Optimal Power Flow, Part I: Formulations and Equivalencecited by 17
  5. 2021OPF-Learn: An Open-Source Framework for Creating Representative AC Optimal Power Flow Datasetscited by 17
  6. 2019Solutions of DC OPF are Never AC Feasiblecited by 16
  7. 2020Mathematical Programming formulations for the Alternating Current Optimal Power Flow problemcited by 4
  8. 2019Inexact Convex Relaxations for AC Optimal Power Flow: Towards AC Feasibilitycited by 3
  9. 2020Data Based Linearization: Least-Squares Based Approximationcited by 2
  10. 2021An Exact Sequential Linear Programming Algorithm for the Optimal Power Flow Problemcited by 2
  11. 2022Numerical Comparisons of Linear Power Flow Approximations: Optimality, Feasibility, and Computation Timecited by 2
  12. 2023Optimizing Parameters of the DC Power Flowcited by 2

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