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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 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

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

Probabilistic power flow (PPF) plays a critical role in power system analysis. However, the high computational burden makes it challenging for the practical implementation of PPF. This paper proposes a model-based deep learning approach to…

信号处理 · 电气工程与系统科学 2019-09-17 Yan Yang , Zhifang Yang , Juan Yu , Baosen Zhang

Probabilistic optimal power flow (POPF) is an important analytical tool to ensure the secure and economic operation of power systems. POPF needs to solve enormous nonlinear and nonconvex optimization problems. The huge computational burden…

信号处理 · 电气工程与系统科学 2019-06-25 Yan Yang , Juan Yu , Zhifang Yang , Mingxu Xiang , Ren Liu

Recent developments in applying machine learning to address Alternating Current Optimal Power Flow (AC OPF) problems have demonstrated significant potential in providing close to optimal solutions for generator dispatch in near real-time.…

系统与控制 · 电气工程与系统科学 2024-10-28 Vincenzo Di Vito , Mostafa Mohammadian , Kyri Baker , Ferdinando Fioretto

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

The growing penetration of distributed energy resources (DERs), electric vehicles (EVs), and heat pumps (HPs) in distribution networks underscores the need for secure, computationally efficient optimal power flow (OPF) solutions.…

系统与控制 · 电气工程与系统科学 2026-04-15 Savvas Panagi , Chrysovalantis Spanias , Petros Aristidou

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

This paper proposes an input convex neural network (ICNN)-Assisted optimal power flow (OPF) in distribution networks. Instead of relying purely on optimization or machine learning, the ICNN-Assisted OPF is a combination of optimization and…

系统与控制 · 电气工程与系统科学 2024-07-31 Rui Cheng , Yuze Yang , Wenxia Liu , Nian Liu , Zhaoyu Wang

The AC optimal power flow (AC-OPF) problem is essential for power system operations, but its non-convex nature makes it challenging to solve. A widely used simplification is the linearized DC optimal power flow (DC-OPF) problem, which can…

系统与控制 · 电气工程与系统科学 2025-01-28 Salvador Pineda , Juan Pérez-Ruiz , Juan Miguel Morales

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

The AC Optimal Power Flow (AC-OPF) is a key building block in many power system applications. It determines generator setpoints at minimal cost that meet the power demands while satisfying the underlying physical and operational…

信号处理 · 电气工程与系统科学 2020-07-01 Minas Chatzos , Ferdinando Fioretto , Terrence W. K. Mak , Pascal Van Hentenryck

OPF problems are formulated and solved for power system operations, especially for determining generation dispatch points in real-time. For large and complex power system networks with large numbers of variables and constraints, finding the…

系统与控制 · 电气工程与系统科学 2024-11-12 Thuan Pham , Xingpeng Li

Optimal power flow (OPF) is one of the fundamental tasks for power system operations. While machine learning (ML) approaches such as deep neural networks (DNNs) have been widely studied to enhance OPF solution speed and performance, their…

机器学习 · 计算机科学 2026-01-07 Xinyi Liu , Xuan He , Yize Chen

Ensuring both feasibility and efficiency in optimal power flow (OPF) operations has become increasingly important in modern power systems with high penetrations of renewable energy and energy storage. While deep neural networks (DNNs) have…

系统与控制 · 电气工程与系统科学 2025-10-13 Yeomoon Kim , Minsoo Kim , Jip Kim

The security-constrained optimal power flow (SCOPF) is fundamental in power systems and connects the automatic primary response (APR) of synchronized generators with the short-term schedule. Every day, the SCOPF problem is repeatedly solved…

最优化与控制 · 数学 2020-07-15 Alexandre Velloso , Pascal Van Hentenryck

DC Optimal Power Flow (DCOPF) is a key operational tool for power system operators, and it is embedded as a subproblem in many challenging optimization problems (e.g., line switching). However, traditional CPU-based solve routines (e.g.,…

系统与控制 · 电气工程与系统科学 2024-09-26 Seide Saba Rafiei , Samuel Chevalier

Optimal power flow (OPF) is an important technique for power systems to achieve optimal operation while satisfying multiple constraints. The traditional OPF are mostly centralized methods which are executed in the centralized control…

系统与控制 · 计算机科学 2019-03-05 Qiao Li , David Wenzhong Gao , Lin Cheng , Fang Zhang , Weihang Yan

The optimal power flow (OPF) is a multi-valued, non-convex mapping from loads to dispatch setpoints. The variability of system parameters (e.g., admittances, topology) further contributes to the multiplicity of dispatch setpoints for a…

系统与控制 · 电气工程与系统科学 2026-03-17 Milad Hoseinpour , Vladimir Dvorkin