English

Data-Driven Chance Constrained AC-OPF using Hybrid Sparse Gaussian Processes

Systems and Control 2022-09-01 v1 Machine Learning Systems and Control Machine Learning

Abstract

The alternating current (AC) chance-constrained optimal power flow (CC-OPF) problem addresses the economic efficiency of electricity generation and delivery under generation uncertainty. The latter is intrinsic to modern power grids because of the high amount of renewables. Despite its academic success, the AC CC-OPF problem is highly nonlinear and computationally demanding, which limits its practical impact. For improving the AC-OPF problem complexity/accuracy trade-off, the paper proposes a fast data-driven setup that uses the sparse and hybrid Gaussian processes (GP) framework to model the power flow equations with input uncertainty. We advocate the efficiency of the proposed approach by a numerical study over multiple IEEE test cases showing up to two times faster and more accurate solutions compared to the state-of-the-art methods.

Keywords

Cite

@article{arxiv.2208.14814,
  title  = {Data-Driven Chance Constrained AC-OPF using Hybrid Sparse Gaussian Processes},
  author = {Mile Mitrovic and Aleksandr Lukashevich and Petr Vorobev and Vladimir Terzija and Yury Maximov and Deepjyoti Deka},
  journal= {arXiv preprint arXiv:2208.14814},
  year   = {2022}
}

Comments

7 pages, 3 figures

R2 v1 2026-06-28T00:28:39.256Z