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This paper presents novel methods to approximate the nonlinear AC optimal power flow (OPF) into tractable linear/quadratic programming (LP/QP) based OPF problems that can be used for power system planning and operation. We derive a linear…

系统与控制 · 计算机科学 2019-03-19 Philipp Fortenbacher , Turhan Demiray

Optimal Power Flow (OPF) is a valuable tool for power system operators, but it is a difficult problem to solve for large systems. Machine Learning (ML) algorithms, especially Neural Networks-based (NN) optimization proxies, have emerged as…

人工智能 · 计算机科学 2024-05-13 Rahul Nellikkath , Mathieu Tanneau , Pascal Van Hentenryck , Spyros Chatzivasileiadis

The Reactive Optimal Power Flow (ROPF) problem consists in computing an optimal power generation dispatch for an alternating current transmission network that respects power flow equations and operational constraints. Some means of action…

机器人学 · 计算机科学 2021-03-26 Julie Sliwak , Miguel Anjos , Lucas Létocart , Emiliano Traversi

This paper introduces a framework to capture previously intractable optimization constraints and transform them to a mixed-integer linear program, through the use of neural networks. We encode the feasible space of optimization problems…

系统与控制 · 电气工程与系统科学 2022-07-15 Ilgiz Murzakhanov , Andreas Venzke , George S. Misyris , Spyros Chatzivasileiadis

DC Optimal Power Flow (DC-OPF) problems optimize the generators' active power setpoints while satisfying constraints based on the DC power flow linearization. The computational tractability advantages of DC-OPF problems come at the expense…

最优化与控制 · 数学 2025-12-23 Babak Taheri , Daniel K. Molzahn

This paper proposes a hard-constrained unsupervised learning framework for rapidly solving the non-linear and non-convex AC optimal power flow (AC-OPF) problem in real-time operation. Without requiring ground-truth AC-OPF solutions,…

系统与控制 · 电气工程与系统科学 2026-02-09 Kejun Chen , Bernard Knueven , Wesley Jones

Optimal Power Flow (OPF) refers to a wide range of related optimization problems with the goal of operating power systems efficiently and securely. In the simplest setting, OPF determines how much power to generate in order to minimize…

Optimal power flow (OPF) problem is a class of large-scale and non-convex optimization problem. Various algorithms are proposed to solve the challenging OPF problem. Recent studies show that semidefinite programming (SDP) can either provide…

最优化与控制 · 数学 2018-02-09 Chin-Yao Chang , Wei Zhang

Deep learning for distribution grid optimization can be advocated as a promising solution for near-optimal yet timely inverter dispatch. The principle is to train a deep neural network (DNN) to predict the solutions of an optimal power flow…

最优化与控制 · 数学 2020-07-09 Manish K. Singh , Sarthak Gupta , Vassilis Kekatos , Guido Cavraro , Andrey Bernstein

The energy transition is driving the integration of large shares of intermittent power sources in the electric power grid. Therefore, addressing the AC optimal power flow (AC-OPF) effectively becomes increasingly essential. The AC-OPF,…

系统与控制 · 电气工程与系统科学 2024-10-08 Anna Varbella , Damien Briens , Blazhe Gjorgiev , Giuseppe Alessio D'Inverno , Giovanni Sansavini

The Optimal power flow (OPF) problem contains many constraints. However, equality constraints along with a limited set of active inequality constraints encompass sufficient information to determine the feasible space of the problem. In this…

系统与控制 · 电气工程与系统科学 2020-06-09 Fouad Hasan , Amin Kargarian , Javad Mohammadi

Non-convex AC optimal power flow (AC-OPF) is a fundamental optimization problem in power system analysis. The computational complexity of conventional solvers is typically high and not suitable for large-scale networks in real-time…

系统与控制 · 电气工程与系统科学 2022-12-09 Kejun Chen , Shourya Bose , Yu Zhang

We propose a data-driven method to solve a stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The objective is to determine power schedules for controllable devices in a power…

最优化与控制 · 数学 2018-01-22 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler Summers

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) in distribution systems by solving the so-called optimal power flow (OPF) problem. The OPF problem is concerned…

系统与控制 · 计算机科学 2020-05-07 Madi Zholbaryssov , Alejandro D. Dominguez-Garcia

We develop DeepOPF as a Deep Neural Network (DNN) approach for solving security-constrained direct current optimal power flow (SC-DCOPF) problems, which are critical for reliable and cost-effective power system operation.DeepOPF is inspired…

系统与控制 · 电气工程与系统科学 2020-09-24 Xiang Pan , Tianyu Zhao , Minghua Chen , Shengyu Zhang

The optimal power flow (OPF) problem minimizes the operating cost of an electric power system. Applications of convex relaxation techniques to the non-convex OPF problem have been of recent interest, including work using the Lasserre…

最优化与控制 · 数学 2016-11-17 Daniel K. Molzahn , Cédric Josz , Ian A. Hiskens , Patrick Panciatici

The nonlinear programming (NLP) problem to solve distribution-level optimal power flow (D-OPF) poses convergence issues and does not scale well for unbalanced distribution systems. The existing scalable D-OPF algorithms either use…

最优化与控制 · 数学 2021-03-02 Rahul Ranjan Jha , Anamika Dubey

Solving the optimal power flow (OPF) problem in real-time electricity market improves the efficiency and reliability in the integration of low-carbon energy resources into the power grids. To address the scalability and adaptivity issues of…

机器学习 · 计算机科学 2021-06-22 Shaohui Liu , Chengyang Wu , Hao Zhu

In recent years, there has been a huge trend to penetrate renewable energy sources into energy networks. However, these sources introduce uncertain power generation depending on environmental conditions. Therefore, finding 'optimal' and…

最优化与控制 · 数学 2019-02-26 Erfan Mohagheghi , Abebe Geletu , Nils Bremser , Mansour Alramlawi , Aouss Gabash , Pu Li

Managing power grids with the increasing presence of variable renewable energy-based (distributed) generation involves solving high-dimensional optimization tasks at short intervals. Linearizing the AC power flow (PF) constraints is a…

最优化与控制 · 数学 2025-09-09 Yuhao Chen , Manish K. Singh