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Distributed algorithms enable private Optimal Power Flow (OPF) computations by avoiding the need in sharing sensitive information localized in algorithms sub-problems. However, adversaries can still infer this information from the…

Optimization and Control · Mathematics 2020-03-23 Vladimir Dvorkin , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

Probabilistic power flow (PPF) analysis is critical to power system operation and planning. PPF aims at obtaining probabilistic descriptions of the state of the system with stochastic power injections (e.g., renewable power generation and…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Kejun Chen , Yu Zhang

Many practical planning and operational applications in power systems require simultaneous consideration of a large number of operating conditions or Multi-Scenario AC-Optimal Power Flow (MS-AC-OPF) solution. However, when the number of…

Optimization and Control · Mathematics 2019-05-28 Vladimir Frolov , Line Roald , Michael Chertkov

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…

Machine Learning · Computer Science 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker

Chance constrained optimal power flow (OPF) has been recognized as a promising framework to manage the risk from variable renewable energy (VRE). In presence of VRE uncertainties, this paper discusses a distributionally robust chance…

Optimization and Control · Mathematics 2018-05-01 Chao Duan , Wanliang Fang , Lin Jiang , Li Yao , Jun Liu

This paper proposes a quasi-optimal power flow (OPF) algorithm for flexible DC traction power systems (TPSs). Near-optimal solutions can be solved with high computational efficiency by the proposed quasi-OPF. Unlike conventional OPF…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Zhanhe Li , Xiaoqian Li , Yingdong Wei , Chao Lu , Xuelian Bai

Nonconvexity induced by the nonlinear AC power flow equations challenges solution algorithms for AC optimal power flow (OPF) problems. While significant research efforts have focused on reliably computing high-quality OPF solutions, it is…

Optimization and Control · Mathematics 2020-02-18 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

We propose a GPU-accelerated distributed optimization algorithm for controlling multi-phase optimal power flow in active distribution systems with dynamically changing topologies. To handle varying network configurations and enable…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-15 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

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)…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Wanjun Huang , Xiang Pan , Minghua Chen , Steven H. Low

This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (i) we propose a novel parabolic relaxation, which transforms…

Optimization and Control · Mathematics 2018-09-27 Fariba Zohrizadeh , Mohsen Kheirandishfard , Edward Quarm , Ramtin Madani

We propose a GPU accelerated proximal message passing algorithm for solving contingency-constrained DC optimal power flow problems (OPF). We consider a highly general formulation of OPF that uses a sparse device-node model and supports a…

Optimization and Control · Mathematics 2024-10-23 Anthony Degleris , Abbas El Gamal , Ram Rajagopal

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

The primary goal of Optimal Power Flow (OPF) is to optimize the operation of a power system while meeting the demand and adhering to operational constraints. This paper presents a new approach for AC OPF. First, the approach constructs a…

Optimization and Control · Mathematics 2025-12-16 Mohammed N. Khamees , Kai Sun

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

We formulate the Alternating Current Optimal Power Flow Problem (ACOPF) as a Linear Constrained Quadratic Program (LCQP) with many negative eigenvalues ($r$) and linear constraints, making it NP-hard. We propose two algorithms, Feasible…

Optimization and Control · Mathematics 2024-06-19 Masoud Barati

Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

Optimization and Control · Mathematics 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

Designing robust algorithms for the optimal power flow (OPF) problem is critical for the control of large-scale power systems under uncertainty. The chance-constrained OPF (CCOPF) problem provides a natural formulation of the trade-off…

Optimization and Control · Mathematics 2025-01-23 Eli Brock , Haixiang Zhang , Javad Lavaei , Somayeh Sojoudi

We propose a data-based method to solve a multi-stage stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The framework explicitly combines multi-stage feedback policies with any…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

The existence of multiple solutions to AC optimal power flow (ACOPF) problems has been noted for decades. Existing solvers are generally successful in finding local solutions, which are stationary points but may not be globally optimal. In…

Systems and Control · Electrical Eng. & Systems 2021-02-25 Ling Zhang , Baosen Zhang

This paper presents a new method for enhancing Alternating Current Power Flow (ACPF) analysis. The method integrates the Newton-Raphson (NR) method with Enhanced-Gradient Descent (GD) and computational graphs. The integration of renewable…

Optimization and Control · Mathematics 2024-06-18 Masoud Barati