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Managing uncertainty and variability in power injections has become a major concern for power system operators due to the increasing levels of fluctuating renewable energy connected to the grid. This work addresses this uncertainty via a…

Optimization and Control · Mathematics 2020-05-05 Alejandra Pena-Ordieres , Daniel Molzahn , Line Roald , Andreas Waechter

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…

Optimization and Control · Mathematics 2025-12-23 Babak Taheri , Daniel K. Molzahn

The future power grid may rely on distributed optimization to determine the set-points for huge numbers of distributed energy resources. There has been significant work on applying distributed algorithms to optimal power flow (OPF)…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Rachel Harris , Mohannad Alkhraijah , Daniel K. Molzahn

This paper presents a fractional approximation of the AC optimal power flow (AC OPF) problem based on an all-pass approximation of the exponential power flow kernel. The classical AC OPF relies on trigonometric coupling between bus voltage…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Milad Hasanzadeh , Amin Kargarian , Javad Lavaei

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…

Optimization and Control · Mathematics 2020-07-15 Alexandre Velloso , Pascal Van Hentenryck

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…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Ze Hu , Ziqing Zhu , Linghua Zhu , Xiang Wei , Siqi Bu , Ka Wing Chan

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…

Optimization and Control · Mathematics 2025-09-09 Yuhao Chen , Manish K. Singh

The AC Optimal power flow (OPF) problem is one of the most fundamental problems in power systems engineering. For the past decades, researchers have been relying on unproven heuristics to tackle OPF. The hardness of OPF stems from two…

Data Structures and Algorithms · Computer Science 2020-07-16 Majid Khonji , Sid Chi-Kin Chau , Khaled Elbassion

In this paper, we consider the optimal power flow (OPF) problem which consists in determining the power production at each bus of an electric network by minimizing the production cost. Our contribution is an exact solution algorithm for the…

Optimization and Control · Mathematics 2021-05-04 Amélie Lambert

Optimal power flow (OPF) problems are non-convex and large-scale optimization problems with important applications in power networks. This paper proposes the scheduled-asynchronous algorithm to solve a distributed semidefinite programming…

Optimization and Control · Mathematics 2017-10-10 Chin-Yao Chang , Jorge Cortes , Sonia Martinez

We propose a hierarchical distributed algorithm to solve optimal power flow (OPF) problems that aim at dispatching controllable distributed energy resources (DERs) for voltage regulation at minimum cost. The proposed algorithm features…

Optimization and Control · Mathematics 2020-02-10 Xinyang Zhou , Zhiyuan Liu , Changhong Zhao , Lijun Chen

A Transient Stability-Constrained Optimal Power Flow (TSC-OPF) problem is proposed that enforces frequency stability constraints using Neural Network (NN) surrogate models. NNs are trained using a novel model-driven active sampling…

Optimization and Control · Mathematics 2025-02-05 Manuel Garcia , Nicole LoGiudice , Robert Parker , Russell Bent

The optimal power flow (OPF) problem is one of the most important optimization problems for the operation of the power grid. It calculates the optimum scheduling of the committed generation units. In this paper, we develop a neural network…

Signal Processing · Electrical Eng. & Systems 2020-08-31 Wenqian Dong , Zhen Xie , Gokcen Kestor , Dong Li

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…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Thuan Pham , Xingpeng Li

This paper considers distribution networks featuring inverter-interfaced distributed energy resources, and develops distributed feedback controllers that continuously drive the inverter output powers to solutions of AC optimal power flow…

Optimization and Control · Mathematics 2016-06-22 Emiliano Dall'Anese , Andrea Simonetto

Learning to optimize (L2O) parametric approximations of AC optimal power flow (AC-OPF) solutions offers the potential for fast, reusable decision-making in real-time power system operations. However, the inherent nonconvexity of AC-OPF…

Machine Learning · Computer Science 2025-11-18 Shimiao Li , Aaron Tuor , Draguna Vrabie , Larry Pileggi , Jan Drgona

The objective of electric power system operators is to determine cost-effective operating points by resolving optimization problems that include physical and engineering constraints. As empirical evidence and operator experience indicate,…

Optimization and Control · Mathematics 2023-05-18 Mohamed Awadalla , François Bouffard

We analyze and contrast two ways to train machine learning models for solving AC optimal power flow (OPF) problems, distinguished with the loss functions used. The first trains a mapping from the loads to the optimal dispatch decisions,…

Systems and Control · Electrical Eng. & Systems 2024-02-02 Ge Chen , Junjie Qin

The alternating current optimal power flow (AC-OPF) problem is critical to power system operations and planning, but it is generally hard to solve due to its nonconvex and large-scale nature. This paper proposes a scalable decomposition…

Optimization and Control · Mathematics 2020-06-12 Shenyinying Tu , Andreas Waechter , Ermin Wei

Optimal Power Flow (OPF) is a very traditional research area within the power systems field that seeks for the optimal operation point of electric power plants, and which needs to be solved every few minutes in real-world scenarios.…

Artificial Intelligence · Computer Science 2025-11-25 Ángela López-Cardona , Guillermo Bernárdez , Pere Barlet-Ros , Albert Cabellos-Aparicio
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