English

Neural Networks for AC Optimal Power Flow: Improving Worst-Case Guarantees during Training

Systems and Control 2025-11-04 v2 Systems and Control

Abstract

The AC Optimal Power Flow (AC-OPF) problem is central to power system operation but challenging to solve efficiently due to its nonconvex and nonlinear nature. Neural networks (NNs) offer fast surrogates, yet their black-box behavior raises concerns about constraint violations that can compromise safety. We propose a verification-informed NN framework that incorporates worst-case constraint violations directly into training, producing models that are both accurate and provably safer. Through post-hoc verification, we achieve substantial reductions in worst-case violations and, for the first time, verify all operational constraints of large-scale AC-OPF proxies. Practical feasibility is further enhanced via restoration and warm-start strategies for infeasible operating points. Experiments on systems ranging from 57 to 793 buses demonstrate scalability, speed, and reliability, bridging the gap between ML acceleration and safe, real-time deployment of AC-OPF solutions - and paving the way toward data-driven optimal control.

Keywords

Cite

@article{arxiv.2510.23196,
  title  = {Neural Networks for AC Optimal Power Flow: Improving Worst-Case Guarantees during Training},
  author = {Bastien Giraud and Rahul Nellikath and Johanna Vorwerk and Maad Alowaifeer and Spyros Chatzivasileiadis},
  journal= {arXiv preprint arXiv:2510.23196},
  year   = {2025}
}

Comments

Submitted to PSCC 2026 (under review)

R2 v1 2026-07-01T07:07:29.193Z