Convex Relaxation of Optimal Power Flow, Part II: Exactness
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Abstract (arXiv)
This tutorial summarizes recent advances in the convex relaxation of the optimal power flow (OPF) problem, focusing on structural properties rather than algorithms. Part I presents two power flow models, formulates OPF and their relaxations in each model, and proves equivalence relations among them. Part II presents sufficient conditions under which the convex relaxations are exact.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). First posted on arXiv 5 May 2014.
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Citing papers per year: 2021: 2; 2022: 2; 2023: 2; 2024: 1; 2025: 2; 2026: 1.
10 papers.
- 2021Learning to Solve the AC-OPF using Sensitivity-Informed Deep Neural Networkscited by 26
- 2022Unsupervised Optimal Power Flow Using Graph Neural Networkscited by 13
- 2023Dual Conic Proxies for AC Optimal Power Flowcited by 11
- 2021Controlling Smart Inverters using Proxies: A Chance-Constrained DNN-based Approachcited by 5
- 2022Unsupervised Deep Learning for AC Optimal Power Flow via Lagrangian Dualitycited by 3
- 2023Optimal Power Flow Based on Physical-Model-Integrated Neural Network with Worth-Learning Data Generationcited by 3
- 2024Physics-Informed Graph Neural Networks for Robust AC-Optimal Power Flowcited by 1
- 2025Dynamic Domain Adaptation-Driven Physics-Informed Graph Representation Learning for AC-OPFcited by 0
- 2025Tree-Preconditioned Differentiable Optimization and Axioms as Layerscited by 0
- 2026Learning Samples Importance: Parameterizing Dual Variables in Everywhere Learningcited by 0
- 2026Learning Samples Importance: Parameterizing Dual Variables in Everywhere Learning28 Sep 2026
- 2025Tree-Preconditioned Differentiable Optimization and Axioms as Layers3 Dec 2025
- 2025Dynamic Domain Adaptation-Driven Physics-Informed Graph Representation Learning for AC-OPF31 May 2025
- 2024Physics-Informed Graph Neural Networks for Robust AC-Optimal Power Flow7 Oct 2024
- 2023Dual Conic Proxies for AC Optimal Power Flow4 Oct 2023
- 2023Optimal Power Flow Based on Physical-Model-Integrated Neural Network with Worth-Learning Data Generation10 Jan 2023
- 2022Unsupervised Deep Learning for AC Optimal Power Flow via Lagrangian Duality7 Dec 2022
- 2022Unsupervised Optimal Power Flow Using Graph Neural Networks17 Oct 2022
- 2021Controlling Smart Inverters using Proxies: A Chance-Constrained DNN-based Approach2 May 2021
- 2021Learning to Solve the AC-OPF using Sensitivity-Informed Deep Neural Networks27 Mar 2021