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The optimal power flow problem plays an important role in the market clearing and operation of electric power systems. However, with increasing uncertainty from renewable energy operation, the optimal operating point of the system changes…

最优化与控制 · 数学 2018-01-25 Yeesian Ng , Sidhant Misra , Line A. Roald , Scott Backhaus

AC/multi-terminal DC (MTDC) hybrid power systems have emerged as a solution for the large-scale and longdistance accommodation of power produced by renewable energy systems (RESs). To ensure the optimal operation of such hybrid power…

最优化与控制 · 数学 2024-09-26 Haixiao Li , Aleksandra Lekić

This paper presents a hybrid Sequential Convex Programming (SCP) framework for solving the unbalanced three-phase AC Optimal Power Flow (OPF) problem. The method combines a fixed McCormick outer approximation of bilinear voltage-current…

系统与控制 · 电气工程与系统科学 2025-12-04 Sary Yehia , Alessandra Parisio

Convex relaxations of the AC Optimal Power Flow (OPF) problem are essential not only for identifying the globally optimal solution but also for enabling the use of OPF formulations in Bilevel Programming and Mathematical Programs with…

最优化与控制 · 数学 2020-06-23 Lucien Bobo , Andreas Venzke , Spyros Chatzivasileiadis

Despite major advancements in nonlinear programming (NLP) and convex relaxations, most system operators around the world still predominantly use some form of linear programming (LP) approximation of the AC power flow equations. This is…

最优化与控制 · 数学 2021-07-19 Sleiman , Mhanna , Pierluigi , Mancarella

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

最优化与控制 · 数学 2022-04-20 Manish K. Singh , Vassilis Kekatos

This paper focuses on power distribution networks featuring distributed energy resources (DERs), and develops controllers that drive the DER output powers to solutions of time-varying AC optimal power flow (OPF) problems. The design of the…

最优化与控制 · 数学 2016-12-23 Emiliano Dall'Anese , Andrea Simonetto , Sairaj Dhople

The design of grid-connected distributed energy systems (DES) has been investigated extensively as an optimisation problem in the past, but most studies do not include nonlinear constraints associated with unbalanced alternating current…

最优化与控制 · 数学 2022-04-28 Ishanki De Mel , Oleksiy V. Klymenko , Michael Short

The economic dispatch problem is considered for unbalanced three-phase power distribution networks entailing both non-deferrable and elastic loads, and distributed generation (DG) units. The objective is to minimize the costs of power drawn…

最优化与控制 · 数学 2012-11-27 Emiliano Dall'Anese , Georgios B. Giannakis , Bruce F. Wollenberg

This paper proposes a Separable Projective Approximation Routine-Optimal Power Flow (SPAR-OPF) framework for solving two-stage stochastic optimization problems in power systems. The framework utilizes a separable piecewise linear…

系统与控制 · 电气工程与系统科学 2025-09-25 Shishir Lamichhane , Abodh Poudyal , Nicholas R. Jones , Bala Krishnamoorthy , Anamika Dubey

A semidefinite programming (SDP) relaxation globally solves many optimal power flow (OPF) problems. For other OPF problems where the SDP relaxation only provides a lower bound on the objective value rather than the globally optimal decision…

最优化与控制 · 数学 2016-04-05 Daniel K. Molzahn , Cédric Josz , Ian A. Hiskens , Patrick Panciatici

A semidefinite program (SDP) is a particular kind of convex optimization problem with applications in operations research, combinatorial optimization, quantum information science, and beyond. In this work, we propose variational quantum…

量子物理 · 物理学 2024-06-19 Dhrumil Patel , Patrick J. Coles , Mark M. Wilde

The nonlinear, non-convex AC Optimal Power Flow (AC-OPF) problem is fundamental for power systems operations. The intrinsic complexity of AC-OPF has fueled a growing interest in the development of optimization proxies for the problem, i.e.,…

最优化与控制 · 数学 2025-05-09 Guancheng Qiu , Mathieu Tanneau , Pascal Van Hentenryck

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

As power systems become more complex and uncertain, low-voltage distribution networks face numerous challenges, including three-phase imbalances caused by asymmetrical loads and distributed energy resources. We propose a robust stochastic…

系统与控制 · 电气工程与系统科学 2024-04-25 Rui Wang , Xiaoqing Bai , Shengquan Huang , Shoupu Wei

The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

机器学习 · 计算机科学 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

Determination of the most economic strategies for supply and transmission of electricity is a daunting computational challenge. Due to theoretical barriers, so-called NP-hardness, the amount of effort to optimize the schedule of generating…

最优化与控制 · 数学 2017-07-13 Ramtin Madani , Alper Atamturk , Ali Davoudi

The optimal power flow (OPF) problem is an important mathematical program that aims at obtaining the best operating point of an electric power grid. The optimization problem typically minimizes the total generation cost subject to certain…

最优化与控制 · 数学 2023-05-02 Shourya Bose , Kejun Chen , Yu Zhang

Distributed optimization methods have been extensively applied for the optimization of electric power distribution systems, especially for grid-edge coordination. Existing distributed optimization algorithms applied to power distribution…

系统与控制 · 电气工程与系统科学 2022-12-12 Rabayet Sadnan , Nathan Gray , Anjan Bose , Anamika Dubey

Many engineered systems, such as energy and transportation infrastructures, are networks governed by non-linear physical laws. A primary challenge for operators of these networks is to achieve optimal utilization while maintaining safety…

最优化与控制 · 数学 2018-03-08 Tillmann Weisser , Line Roald , Sidhant Misra