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The Optimal Power Flow (OPF) problem is a fundamental building block for the optimization of electrical power systems. It is nonlinear and nonconvex and computes the generator setpoints for power and voltage, given a set of load demands. It…

信号处理 · 电气工程与系统科学 2019-12-04 Ferdinando Fioretto , Terrence W. K. Mak , Pascal Van Hentenryck

Optimal Power Flow (OPF) is an important tool used to coordinate assets in electric power systems to ensure customer voltages are within pre-defined tolerances and to improve distribution system operations. While convex relaxations of…

最优化与控制 · 数学 2016-11-18 Michael D. Sankur , Roel Dobbe , Emma Stewart , Duncan S. Callaway , Daniel B. Arnold

AC optimal power flow (AC-OPF) problems need to be solved more frequently in the future to maintain stable and economic power system operation. To tackle this challenge, a deep neural network-based voltage-constrained approach (DeepOPF-V)…

系统与控制 · 电气工程与系统科学 2021-07-20 Wanjun Huang , Xiang Pan , Minghua Chen , Steven H. Low

Existing algorithms to solve alternating-current optimal power flow (AC-OPF) often exploit linear approximations to simplify system models and accelerate computations. In this paper, we improve a recent hierarchical OPF algorithm, which…

最优化与控制 · 数学 2023-02-09 Heng Liang , Xinyang Zhou , Changhong Zhao

The thesis focuses on developing a data-driven algorithm, based on machine learning, to solve the stochastic alternating current (AC) chance-constrained (CC) Optimal Power Flow (OPF) problem. Although the AC CC-OPF problem has been…

机器学习 · 计算机科学 2024-02-20 Mile Mitrovic

Linear approximations of the AC power flow equations are of great significance for the computational efficiency of large-scale optimal power flow (OPF) problems. Put differently, the feasibility of the obtained solution is essential for…

系统与控制 · 电气工程与系统科学 2023-06-12 Meiyi Li , Yuhan Du , Javad Mohammadi , Constance Crozier , Kyri Baker , Soummya Kar

Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly NP-hard in general, and weakly NP-hard over tree networks. In…

系统与控制 · 计算机科学 2016-06-22 Krishnamurthy Dvijotham , Pascal Van Hentenryck , Michael Chertkov , Sidhant Misra , Marc Vuffray

Optimal power flow (OPF) is one of the most important optimization problems in the energy industry. In its simplest form, OPF attempts to find the optimal power that the generators within the grid have to produce to satisfy a given demand.…

系统与控制 · 电气工程与系统科学 2019-10-23 Damian Owerko , Fernando Gama , Alejandro Ribeiro

The Optimal Power Flow (OPF) problem is pivotal for power system operations, guiding generator output and power distribution to meet demand at minimized costs, while adhering to physical and engineering constraints. The integration of…

机器学习 · 计算机科学 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker

Alternative Current Optimal Power Flow (AC-OPF) is essential for efficient power system planning and real-time operation but remains an NP-hard and non-convex optimization problem with significant computational challenges. This paper…

系统与控制 · 电气工程与系统科学 2025-03-03 Ze Hu , Ziqing Zhu , Linghua Zhu , Xiang Wei , Siqi Bu , Ka Wing Chan

This paper proposes a novel approach using Graph Neural Networks (GNNs) to solve the AC Power Flow problem in power grids. AC OPF is essential for minimizing generation costs while meeting the operational constraints of the grid.…

系统与控制 · 电气工程与系统科学 2025-02-11 Seyedamirhossein Talebi , Kaixiong Zhou

Deep learning approaches for the Alternating Current-Optimal Power Flow (AC-OPF) problem are under active research in recent years. A common shortcoming in this area of research is the lack of a dataset that includes both a realistic power…

机器学习 · 计算机科学 2022-05-20 Tsun Ho Aaron Cheung , Min Zhou , Minghua Chen

The massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

最优化与控制 · 数学 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey

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

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

The DC Optimal Power Flow (DC-OPF) problem is fundamental to power system operations, requiring rapid solutions for real-time grid management. While traditional optimization solvers provide optimal solutions, their computational cost…

机器学习 · 计算机科学 2025-12-15 Kshitiz Khanal

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

系统与控制 · 电气工程与系统科学 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

High percentage penetrations of renewable energy generations introduce significant uncertainty into power systems. It requires grid operators to solve alternative current optimal power flow (AC-OPF) problems more frequently for economical…

系统与控制 · 电气工程与系统科学 2022-07-04 Xiang Pan , Minghua Chen , Tianyu Zhao , Steven H. Low

Optimal Power Flow (OPF) is a core optimization problem in power system operation and planning, aiming to minimize generation costs while satisfying physical constraints such as power flow equations, generator limits, and voltage limits.…

机器学习 · 计算机科学 2025-12-02 Xuezhi Liu

The trend in the electric power system is to move towards increased amounts of distributed resources which suggests a transition from the current highly centralized to a more distributed control structure. In this paper, we propose a method…

最优化与控制 · 数学 2014-10-17 Javad Mohammadi , Soummya Kar , Gabriela Hug