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In this paper, we discuss our approach and algorithmic framework for solving large-scale security constrained optimal power flow (SCOPF) problems. SCOPF is a mixed integer non-convex optimization problem that aims to obtain the minimum…

最优化与控制 · 数学 2020-06-02 Mohammadhafez Bazrafshan , Kyri Baker , Javad Mohammadi

This paper introduces the Exascale Grid Optimization (ExaGO) toolkit, a library for solving large-scale alternating current optimal power flow (ACOPF) problems including stochastic effects, security constraints and multi-period constraints.…

系统与控制 · 电气工程与系统科学 2022-03-22 Shrirang Abhyankar , Slaven Peles , Tamara Becejac , Jesse Holzer , Asher Mancinelli , Cameron Rutherford

The coordinated alternating current optimal power flow (ACOPF) for coupled transmission-distribution grids has become crucial to handle problems related to high penetration of renewable energy sources (RESs). However, obtaining all system…

最优化与控制 · 数学 2022-08-04 Wentian Lu , Kaijun Xie , Mingbo Liu , Xiaogang Wang , Lefeng Cheng

We present a massively parallel solver that accelerates DC loadflow computations for power grid topology optimization tasks. Our approach leverages low-rank updates of the Power Transfer Distribution Factors (PTDFs) to represent substation…

系统与控制 · 电气工程与系统科学 2025-01-30 Nico Westerbeck , Joost van Dijk , Jan Viebahn , Christian Merz , Dirk Witthaut

The alternating direction method of multipliers (ADMM) is a powerful splitting algorithm for linearly constrained convex optimization problems. In view of its popularity and applicability, a growing attention is drawn towards the ADMM in…

最优化与控制 · 数学 2022-08-19 Sedi Bartz , Rubén Campoy , Hung M. Phan

The optimal power flow (OPF) problem is fundamental in power system operations and planning. Large-scale renewable penetration in distribution networks calls for real-time feedback control, and hence the need for fast and distributed…

最优化与控制 · 数学 2016-05-19 Qiuyu Peng , Steven H. Low

During the energy transition, the significance of collaborative management among institutions is rising, confronting challenges posed by data privacy concerns. Prevailing research on distributed approaches, as an alternative to centralized…

分布式、并行与集群计算 · 计算机科学 2024-07-08 Xinliang Dai , Alexander Kocher , Jovana Kovačević , Burak Dindar , Yuning Jiang , Colin N. Jones , Hüseyin Çakmak , Veit Hagenmeyer

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…

分布式、并行与集群计算 · 计算机科学 2025-01-15 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

This work presents a GPU-accelerated solver for the unit commitment (UC) problem in large-scale power grids. The solver uses the Primal-Dual Hybrid Gradient (PDHG) algorithm to efficiently solve the relaxed linear subproblem, achieving…

最优化与控制 · 数学 2025-12-09 Hussein Sharadga , Javad Mohammadi

Transmission network expansion planning is a mixed-integer optimization problem, whose solution is used to guide future investment in transmission equipment. An approach is presented to find the global solution of the transmission planning…

最优化与控制 · 数学 2017-11-10 Bissan Ghaddar , Rabih Jabr

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

Using deep neural networks to predict the solutions of AC optimal power flow (ACOPF) problems has been an active direction of research. However, because the ACOPF is nonconvex, it is difficult to construct a good data set that contains…

系统与控制 · 电气工程与系统科学 2021-10-06 Ling Zhang , Baosen Zhang

With increased reliance on cyber infrastructure, large scale power networks face new challenges owing to computational scalability. In this paper we focus on developing an asynchronous decentralized solution framework for the Unit…

分布式、并行与集群计算 · 计算机科学 2019-04-15 Paritosh Ramanan , Murat Yildirim , Edmond Chow , Nagi Gebraeel

The alternating direction method of multipliers (ADMM) is a widely used method for solving many convex minimization models arising in signal and image processing. In this paper, we propose an inertial ADMM for solving a two-block separable…

最优化与控制 · 数学 2021-04-02 Yang Yang , Yuchao Tang

Since the alternating current optimal power flow (ACOPF) problem was introduced in 1962, developing efficient solution algorithms for the problem has been an active field of research. In recent years, there has been increasing interest in…

最优化与控制 · 数学 2018-03-14 Mowen Lu , Harsha Nagarajan , Russell Bent , Sandra D. Eksioglu , Scott J. Mason

This paper proposes a component-based dual decomposition of the nonconvex AC optimal power flow (OPF) problem, where the modified dual function is solved in a distributed fashion. The main contribution of this work is that is demonstrates…

分布式、并行与集群计算 · 计算机科学 2017-08-23 Sleiman Mhanna , Gregor Verbic , Archie Chapman

We study tightness properties of a Lagrangian dual (LD) bound for the nonconvex alternating current optimal power flow (ACOPF) problem. We show an LD bound that can be computed in a parallel, decentralized manner. Specifically, the proposed…

最优化与控制 · 数学 2021-11-10 Weiqi Zhang , Kibaek Kim , Victor M. Zavala

To ensure the system stability of the $\bf{\mathcal{H}_{2}}$-guaranteed cost optimal decentralized control problem (ODC), an approximate semidefinite programming (SDP) problem is formulated based on the sparsity of the gain matrix of the…

最优化与控制 · 数学 2024-02-05 Bo Yang , Xinyuan Zhao , Xudong Li , Defeng Sun

Dynamic optimization is currently limited by sensitivity computations that require information from full forward and adjoint wave fields. Since the forward and adjoint solutions are computed in opposing time directions, the forward solution…

计算工程、金融与科学 · 计算机科学 2025-09-22 Leon Herrmann , Tim Bürchner , László Kudela , Stefan Kollmannsberger

Alternating Direction Method of Multipliers (ADMM) algorithm has been widely adopted for solving the distributed optimization problem (DOP). In this paper, a new distributed parallel ADMM algorithm is proposed, which allows the agents to…

最优化与控制 · 数学 2021-11-23 Ziye Liu , Fanghong Guo , Wei Wang , Xiaoqun Wu